Answer:
y - 7 = 2(x - 4)
Step-by-step explanation:
The equation of the line that goes through the points (4, 7) and (5, 9) is y - 7 = 2(x - 4). To find the equation of the line, you can use the point-slope form of the equation, which is y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a given point on the line. In this case, the given points are (4, 7) and (5, 9), and the slope is m = 2. Therefore, the equation of the line is y - 7 = 2(x - 4).
The graph below is the function f(x)
The correct statements regarding the function are given as follows:
f(2) is defined.The function is not continuous at x = 2.What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
To the left of x = 2, the graph of the function approaches x = 2 at y = 2, hence:
lim x-> 2^- f(x) = 2.
To the right of x = 2, the graph of the function approaches x = 2 at y = 1, hence:
lim x-> 2^+ f(x) = 1.
Due to the different lateral limits, the function is not continuous at x = 2, and the limit is not defined.
Due to the closed circle, the function is defined at x = 2, with a numeric value of y = 2.
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Evaluate the function f(x)=46x+2 at x=13.8 .
The value of f(13.8) = 636.8
What is a function?function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
For example f(y) = 5y+7
Similar the function given ;
f(x)=46x+2
when x = 13.8
f(13.8) = 46(13.8) + 2
= 636.8
therefore the value of the function f(x)=46x+2 at x = 13.8 is 636.8
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The value of the function f(x) = 46x + 2 at x = 13.8 is 636.8.
What is function?
Function is a rule that assigns a unique output value to each input value. A function is typically denoted by a letter such as f(x), where x is the input variable and f(x) is the output value.
To evaluate the function f(x) = 46x + 2 at x = 13.8, we simply substitute x = 13.8 into the expression for f(x):
f(13.8) = 46(13.8) + 2
Simplifying this expression, we get:
f(13.8) = 634.8 + 2
f(13.8) = 636.8
Therefore, the value of the function f(x) = 46x + 2 at x = 13.8 is 636.8.
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A teacher gave a reading test to a class of 5th grade students and computed the mean, median, and mode for the test scores. Which of the following statements cannot be an accurate description of the scores?
a. The majority of the students had scores above the mean
b. The majority of the students had scores above the median
c. The majority of the students had scores above the mode
d. All of the other options are false statements
PLEASE EXPLAIN
In a case whereby teacher gave a reading test to a class of 5th grade students and computed the mean, median, and mode for the test scores. the statements that cannot be an accurate description of the scores is b. The majority of the students had scores above the median.
What is the justification for this?A data set's mean is its average. The most frequent value in a data set is called the mode. The centre of the group of numbers is known as the median, which implies that the since there could majority of the students had scores above the mode, but ion the case of median, since it is value in the middle of a data set then majority of the the students can not scores above the median.
The midway number in a set of data is known as the median. The data should first be arranged and ranked from smallest to greatest. Divide the total number of observations by two to get the midway value. The value in that location is the median if there are an odd number of observations; otherwise, round the number up.
Therefore, option B is correct.
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Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the shaded region.
The x y coordinate plane is given. There are two curves, two horizontal lines, and a shaded region on the graph.
The first curve, labeled x = y2 − 5, enters the window in the fourth quadrant, goes up and left becoming more steep, crosses the y-axis at approximately y = −2.2, changes direction at the point (−5, 0), goes up and right becoming less steep, crosses the y-axis at approximately y = 2.2, and exits the window in the first quadrant.
The second curve, labeled x = ey, enters the window almost vertically just right of the y-axis, goes up and right becoming less steep, crosses the first curve just right of the y-axis at approximately y = −2.3, crosses the x-axis at x = 1, and exits the window in the first quadrant.
The first horizontal line, labeled y = −1, begins at the point (−4, −1) on the first curve, goes right, and ends at the approximate point (0.4, −1) on the second curve.
The second horizontal line, labeled y = 1, begins at the point (−4, 1) on the first curve, goes right, and ends at the approximate point (2.7, 1) on the second curve.
The region is right of the first curve, left of the second curve, above the first horizontal line, and below the second horizontal line.
Refer to the image attached.
The value went from $45.00 to $68.75. What was the percent change?
The percent change from $45.00 to $68.75 is approximately 52.8%.
What does the phrase "percent change" mean?Finding the difference between two values in a time series and multiplying it by 100 after dividing it by the initial value yields the percentage change between the two values.
We employ the following formula to determine the percentage difference between two values:
(New Value - Old Value) / Old Value * 100% is the formula for percent change.
The former value in this instance was $45.00, whereas the new value is $68.75.
Adding these values to the formula yields the following results:
($68.75 - $45.00) / $45.00 * 100% is the percent difference.
percent modification: (23.75% / (45.00%) * 100%
52.8% change in percentage
As a result, the percentage increase from $45.00 to $68.75 is almost 52.8%.
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2. Choose whether the given sets of lengths are or are not possible side lengths
of a triangle.
Possible side lengths Not possible side lengths
3 ft, 5 ft, 9 ft
11 cm, 6 cm, 17 cm
4 in., 4 in., 6 in.
16 yd, 10 yd, 12 yd
The first and second lengths are not possible lengths of triangle.
The third and fourth lengths are possible lengths of triangle.
What are the possible lengths of triangle?For the first case; 3 ft, 5 ft, 9 ft: Not possible. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. However, in this case, 3 ft + 5 ft = 8 ft, which is less than 9 ft.
For the second case 11 cm, 6 cm, 17 cm: Not possible. Using the same reasoning as above, we see that 6 cm + 11 cm = 17 cm, which means that the three sides cannot form a triangle.
For the third case. 4 in., 4 in., 6 in.: Possible. The sum of any two sides is greater than the third side, since 4 in. + 4 in. = 8 in., which is greater than 6 in. Therefore, these lengths can form a triangle.
For the fourth case. 16 yd, 10 yd, 12 yd: Possible. Again, we see that the sum of any two sides is greater than the third side, since 10 yd + 12 yd = 22 yd, which is greater than 16 yd. Therefore, these lengths can form a triangle.
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Using the arithmetic operation the value for x in the equation (x – 7)2 = 36 is obtained as 25.
What is an equation?
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").
The given equation is (x – 7)2 = 36.
Use the arithmetic operation of multiplication -
2x - 14 = 36
Collect all the like terms -
2x = 36 + 14
Use the arithmetic operation of addition -
2x = 50
Use the arithmetic operation of division -
x = 50/2
x = 25
Therefore, the value is 25.
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Angles A and C are supplementary. Find the measure of angle C.
Angle EAB is 74 degrees. Angle FCD is undetermined.
How do I solve this problem?
In the given situation where ∠A and ∠C are supplementary, the angle ∠C is 106°.
What are supplementary angles?Angles that add up to 180 degrees are referred to as supplementary angles.
For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°.
Two angles are complementary if their sum equals 90 degrees, and supplementary if their sum equals 180 degrees.
Because the three angles of a triangle sum up to 180° and the right angle has already taken up 90°, the two non-right angles in a right-angled triangle are complementary.
We say two angles "Complement" one other when their sums equal 90 degrees.
So, we already are aware of that:
∠A and ∠C are supplementary
∠A is 74°
Then, ∠C would be:
∠A + ∠C = 180
74 + ∠C = 180
∠C = 180 - 74
∠C = 106
Therefore, in the given situation where ∠A and ∠C are supplementary, the angle ∠C is 106°.
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Correct question:
Angles A and C are supplementary. Find the measure of angle C.
(Refer to the image below)
PLS HURRY. what is the mean absolute deviation of 2,3,3,6,1 will give brainliest
The mean absolute deviation of the set of numbers 2, 3, 3, 6, and 1 is 1.2.
What is the mean absolute deviation?
Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. Similar to standard deviation, MAD is a parameter or statistic that measures the spread, or variation, in your data.
To find the mean absolute deviation of a set of numbers, we first need to find the mean of the set. The mean is the sum of the numbers divided by the total number of numbers. For the set of numbers 2, 3, 3, 6, 1, the mean is:
mean = (2 + 3 + 3 + 6 + 1) / 5
= 15 / 5
= 3
Next, we need to find the absolute deviation of each number in the set from the mean. The absolute deviation is the absolute value of the difference between the number and the mean. For each number in the set, we calculate the absolute deviation as follows:
|2 - 3| = 1
|3 - 3| = 0
|3 - 3| = 0
|6 - 3| = 3
|1 - 3| = 2
To find the mean absolute deviation, we take the average of the absolute deviations. We add up the absolute deviations and divide by the total number of numbers in the set:
mean absolute deviation = (1 + 0 + 0 + 3 + 2) / 5
= 6 / 5
= 1.2
Therefore, the mean absolute deviation of the set of numbers 2, 3, 3, 6, and 1 is 1.2.
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find the area of the surface generated by revolving the given curve about the x-axis. y equals 7 x comma space 0 less or equal than x less or equal than 1
The area of the surface generated by revolving the curve y = 7x about the x-axis over the interval [0, 1] is approximately 15.43 square units.
What is integration ?
Integration is a fundamental concept in calculus that involves finding the integral of a function, which is the area under the curve of the function between two given limits. It is the reverse process of differentiation and is used to find the antiderivative of a function. In other words, integration involves finding a function whose derivative is a given function. Integration is a powerful tool that is used in many fields, including physics, engineering, economics, and statistics, to name a few.
Given by the question:
To find the area of the surface generated by revolving the curve y = 7x about the x-axis over the interval [0, 1], we can use the formula:
[tex]A =2\pi \int\limits^a_b {y} \, ds[/tex]
where a and b are the limits of integration, ds is the arc length element, and y is the height of the curve at each point.
In this case, we can rewrite the curve as x = y/7 and use the formula for arc length:
[tex]ds = \sqrt[]{(1 + (dx/dy)^2) dy}[/tex]
We have dx/dy = 1/7, so [tex]ds =\sqrt{(1 + (1/49)) dy}[/tex].
Substituting this into the surface area formula, we get:
[tex]A = 2\pi \int\limits^1_0 {y \sqrt{(1 + (1/49)) } } \, dy[/tex]
Integrating, we get:
[tex]A = 2\pi (49/72) [y\sqrt{(1 + (1/49)) } + (1/3) *(1 + (1/98)^{3/2} ][/tex] from 0 to 1
[tex]A = 2\pi (49/72) [(1/7) \sqrt{(50/49)} + (1/3)*(99/98)^{3/2} ][/tex]
[tex]A = 2\pi (49/72) [(5/7)\sqrt{2} + (1/3)* (99/98)^{3/2} ][/tex]
A ≈ 15.43
Therefore, the area of the surface generated by revolving the curve y = 7x about the x-axis over the interval [0, 1] is approximately 15.43 square units.
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A function f(x) is said to have a jump discontinuity at x= a if,
A function f(x) is said to have a jump discontinuity at x = a if:
3. The left and the right limits are not equal.
What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
Since the lateral limits have to be equal, one of the conditions is that the limit must exist.
A jump discontinuity is when the limits do not exist, that is, if the lateral limits are different.
Hence option 3 is the correct option for this problem.
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The bakery uses 7 eggs to make a cake. If they have 380 eggs how many cakes can hey make?
Answer:
54.2 cakes
Step-by-step explanation:
divide 380 by 7 and you'll get 54.2 as your answer
Find domain Range Y-intercept X- intercept Vertical asymptote Horizontal asymptote Pic attached below note write domain and range in interval notation
The key features of this rational function include the following:
Domain: (-∞, 1) ∪ (1, ∞)
Range: (-∞, 3) ∪ (3, ∞)
Y-intercept: -5.
X-intercept: 5/3.
Vertical asymptote: x = 1.
Horizontal asymptote: y = -3.
What is a rational function?In Mathematics, a rational function simply refers to a type of function which is expressed as a fraction. This ultimately implies that, a rational function is composed of two (2) main parts and these include the following:
NumeratorDenominatorIn order to graph any rational function, you should determine the values for which it is undefined. This ultimately implies that, a function is considered as undefined when the value of the denominator is equal to zero, which represents vertical asymptote lines.
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You pick a card at random. 4 5 6 7 8 What is P(not prime)?
the probability of selecting a card that is not prime from the set {4, 5, 6, 7, 8} is 0.6 or 60%.
How we solved?
To determine the probability of selecting a card that is not prime from the set {4, 5, 6, 7, 8}, we first need to identify which numbers in the set are prime.
The prime numbers in the set are 5 and 7, so the non-prime numbers are 4, 6, and 8.
The total number of cards in the set is 5.
Therefore, the probability of selecting a non-prime card is:
P(not prime) = number of non-prime cards / total number of cards
P(not prime) = 3 / 5
P(not prime) = 0.6 or 60%
So the probability of selecting a card that is not prime from the set {4, 5, 6, 7, 8} is 0.6 or 60%.
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pls help asap pls i pay 54
The value of BC is 9cm.
What is a similar triangle?
If two triangles have the same shape or have the same shape as their mirror images, they are said to be comparable. One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.
Here, we have
Given: BA = 6cm, AC = 8cm
BC =?
In a similar triangle, their side is also proportional.
BA/ED = AC/DF = BC/EF
BA/ED = BC/EF
6/18 = BC/27
18BC = 6×27
BC = 6×27/18
BC = 9cm
Hence, the value of BC is 9cm.
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which of the following gives the proportion of items in each bin? a. relative frequency b. frequency c. bin proportion d. class size
The proportion of items in each bin is given by the:
a. relative frequency.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
The concept of probability was presented because it is the same concept of relative frequency, which gives the proportion of items in each bin.
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Which of the following equations has no real solutions?
OA. 10(x-6) = 10x - 60
OB.10(x+6)= 10(x + 10)
OC. 10x-6=60x-6
OD. 10x-610x6
Answer:
10x-610x6
The equation 10x-610x6 has no real solutions because it cannot be solved for any value of x. The left side of the equation is 10x-6, and the right side is 10x+6. Since the left side is greater than the right side, no value of x can make the equation true.
HELPPPPP
i need help quick
By using the substitution method, the value of x is equal to -1 and the value of y is equal to 1.
How to solve this system of equations?In order to solve the given system of equations, we would apply the substitution method. From the information provided in the image attached above, we have the following system of equations:
2x - 3y = -5 .......equation 1.
3x + y = -2 .......equation 2.
From equation 2, we have:
y = -3x - 2
By using the substitution method to substitute equation 3 into equation 1, we have the following:
2x - 3(-3x - 2) = -5
2x + 9x + 6 = -5
11x = -5 - 6
x = -11/11
x = -1
For the value of y, we have:
y = -3x - 2
y = -3(-1) - 2
y = 1.
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Math Word Problem: A farmer had some chickens and some cows. She counted 40 heads and 126 legs. How many chickens and how many cows did she have? Show your work.
Answer:
There are 17 chickens and 23 cows
Step-by-step explanation:
Assuming every chicken has 1 head and 2 legs and every cow has 1 head and 4 legs, let us set up a system of equations for this proble
Let
x = number of chickens
y = number of cows
x chickens will have x heads
y cows will have y heads
Total number of heads = x + y = 40
x chickens will have 2x legs
y cows will have 4y legs
Total legs = 2x + 4y = 126
We have two equations:
x + y = 40 (1)
2x + 4y = 126 (2)
Multiply: (1) x 2
=> 2(x + y) = 2(40)
=> 2x + 2y = 80 (3)
Subtract: (2) - (3)
2x + 4y - (2x + 2y) = 126 - 80
2x + 4y -2x - 2y = 46
4y - 2y = 46
2y = 46
y = 23
Since y = 23 and x + y = 40
x + 23 = 40
x = 40 - 23 = 17
There are 17 chickens and 23 cows
The number of people who survived the Titanic based on class and gender is in the table below. Suppose a person is picked at random from the survivors. Female Male Total 193 1st 134 59 2nd 194 25 119 3rd 80 58 138 Total 308 142 450 a) What is the probability that a survivor was male? b) What is the probability that a survivor was in the 2nd class? c) What is the probability that a survivor was a male, given that the person was in the 2nd class? d) What is the probability that a survivor was a male and in the 2nd class? e) What is the probability that a survivor was a male or in the 2nd class?
a) The probability that a survivor was male is:
142/450 = 0.315
b) The probability that a survivor was in the 2nd class is:
119/450 = 0.264
c) The probability that a survivor was a male, given that the person was in the 2nd class is:
25/119 ≈ 0.210
d) The probability that a survivor was a male and in the 2nd class is:
25/450 ≈ 0.056
e) The probability that a survivor was a male or in the 2nd class is:
P(male or 2nd class) = P(male) + P(2nd class) - P(male and 2nd class)
= 142/450 + 119/450 - 25/450
= 236/450
= 0.524
HELPPPPP
can someone give me the answer for this
Answer:
x = -1, y = 1
Step-by-step explanation:
2x - 3y = -5
3x + y = -2
2x - 3y = -5
9x + 3y = -6
11x = -11
x = -1
-3 + y = -2
y = 1
x = -1, y = 1
Find the area of the parallelogram.
Answer:
30 cm²
Step-by-step explanation:
The formula to find the area of a parallelogram.
Area = Base × Height
Accordingly, let us find the area.
Area = Base × Height
Area = 10 cm × 3 cm
Area = 30 cm²
Wanda is going to the water slides and needs to figure out which deal is better. She can pay
$32 to go on the water slides as much as she wants, or she can pay $18 to get in, plus an
additional $2 per trip down the water slides. If Wanda goes on a certain number of trips down
the water slides, the two options are equivalent in terms of cost. What is the cost? How many
trips is that?
Answer: The cost for the total trips is $14. The amount of trips that Wanda can make is a maximum of 7 to equal the amount.
Step-by-step explanation:
First, make the amount of trips, x
Step 1. $32 = $18 + $2x
Step 2. ($32 - $18) = ($18 - $18) + $2x
Step 3. $14 = $2x
Step 4. $14 / $2 = $2x / $2
Step 5. $7 = x
Step 6. $32 = $18 + ($2 * 7)
Step 7. $32 = $18 + $14
Step 8. Check for the equation. $32 = $32
(correct me if im wrong)
In 2012, the cost of a hamburger at a famous nationwide restaurant chain was $4.32. In 2022 the
price of the same hamburger is $6.12.
a. What is the average rate of change in the cost of the hamburger during this period?
b. Using the price in 2012 as an initial value, write a linear equation that models the cost of
the hamburger.
c. Using the model from part b, when will the price of the hamburger reach $7.02?
Answer:
Step-by-step explanation:
a. The average rate of change in the cost of the hamburger during the period from 2012 to 2022 can be calculated as the difference in the cost of the hamburger divided by the number of years between the two prices.
So, the average rate of change in the cost of the hamburger is:
(6.12 - 4.32) / (2022 - 2012) = 0.18
Therefore, the average rate of change in the cost of the hamburger during this period is $0.18 per year.
b. We can use the point-slope form of a linear equation to model the cost of the hamburger as it changes over time. Let y be the cost of the hamburger in dollars, and t be the number of years since 2012. We know that the cost of the hamburger in 2012 was $4.32, so we have a starting point of (0, 4.32).
Using the average rate of change calculated in part a, we can find the slope of the line:
slope = (6.12 - 4.32) / (2022 - 2012) = 0.18
Now we can write the equation of the line as:
y - 4.32 = 0.18t
y = 0.18t + 4.32
So, the linear equation that models the cost of the hamburger in terms of years since 2012 is y = 0.18t + 4.32.
c. To find when the cost of the hamburger will reach $7.02, we can substitute y = 7.02 into the equation we found in part b and solve for t:
7.02 = 0.18t + 4.32
2.7 = 0.18t
t = 15
So, the cost of the hamburger will reach $7.02 in the year 2012 + 15 = 2027.
What is the y-intercept when the coordinate is 9,1 and the slope is 4 8
Answer:
the formula for this is y=mx+b
b stands for the y, m is the slope of the line, and x stands for the x axis!
Step-by-step explanation:
i am pretty sure your answer is -1.4
hope this helps I to help you out attached a screenshot
Which equation has the solution x = 9? Select each correct answer. Responses 4 + 5x = 18 4 + 5, x, = 18 2x−3=15 2 x minus 3 equals 15 3x + 2 = 25 3, x, + 2 = 25 24−2x=13 24 minus 2 x equals 13 x3+7=8 x over 3 end fraction plus 7 equals 8 81x−3=6 81 over x end fraction minus 3 equals 6
Answer: 2x - 3 = 15 , 81/x - 3 = 6
Step-by-step explanation:
Substitute 9 for x on each equation and see if the sides are equal to each other
4 + 5x = 18
4 + 45 = 18
49 = 18 ( false )
2x - 3 = 15
2(9) - 3 = 15
18 - 3 = 15
15 = 15
3x + 2 = 25
3(9) + 2 = 25
27 + 2 = 25
29 = 25 ( false )
24 - 2x = 13
24 - 2(9) = 13
24 - 18 = 13
6 = 13 ( false )
x/3 + 7 = 8
9/3 + 7 = 8
3 + 7 = 8
10 = 8 ( false )
81/x - 3 = 6
81/9 - 3 = 6
9 - 3 = 6
6 = 6
Hope this helps !
Alfonso Inc. acquired 100 percent of the voting shares of BelAire Company on January 1, 2020. In exchange, Alfonso paid $387,500 in cash and issued 100,000 shares of its own $1 par value common stock. On this date, Alfonso’s stock had a fair value of $15 per share. The combination is a statutory merger with BelAire subsequently dissolved as a legal corporation. BelAire’s assets and liabilities are assigned to a new reporting unit.
Answer:
This scenario describes a business combination in which Alfonso Inc. acquired 100% ownership of BelAire Company on January 1, 2020, using both cash and common stock as consideration. The combination is a statutory merger, meaning that BelAire is dissolved as a legal corporation and its assets and liabilities are assigned to a new reporting unit.
To record this business combination, Alfonso would need to perform a detailed analysis of the fair values of the assets and liabilities of BelAire as of the acquisition date, and allocate the total consideration paid (i.e., $387,500 in cash plus the fair value of 100,000 shares of Alfonso's common stock) to those assets and liabilities based on their fair values.
Assuming that the fair values of the assets and liabilities of BelAire on the acquisition date were as follows:
Assets:
Cash: $50,000
Accounts receivable: $100,000
Inventory: $150,000
Property, plant, and equipment: $400,000
Goodwill: $200,000
Liabilities:
Accounts payable: $75,000
Long-term debt: $250,000
The total fair value of BelAire's net assets is ($50,000 + $100,000 + $150,000 + $400,000 + $200,000) - ($75,000 + $250,000) = $575,000.
The allocation of the consideration paid would be as follows:
Cash paid: $387,500
Fair value of 100,000 shares of Alfonso's common stock: 100,000 shares x $15 per share = $1,500,000
Total consideration paid: $1,887,500
Allocation of consideration:
Cash: $50,000 / $575,000 x $1,887,500 = $164,348
Accounts receivable: $100,000 / $575,000 x $1,887,500 = $328,261
Inventory: $150,000 / $575,000 x $1,887,500 = $492,174
Property, plant, and equipment: $400,000 / $575,000 x $1,887,500 = $1,310,870
Goodwill: $200,000 / $575,000 x $1,887,500 = $657,391
Accounts payable: $75,000 / $575,000 x $1,887,500 = $246,739
Long-term debt: $250,000 / $575,000 x $1,887,500 = $818,478
The entry to record the acquisition would be:
Debit Property, plant, and equipment: $1,310,870
Debit Goodwill: $657,391
Debit Cash: $164,348
Debit Accounts receivable: $328,261
Debit Inventory: $492,174
Credit Accounts payable: $246,739
Credit Long-term debt: $818,478
Credit Cash: $387,500
Credit Common stock: $1,500,000
This entry records the allocation of the total consideration paid to the assets and liabilities acquired, as well as the issuance of Alfonso's common stock to BelAire's shareholders.
A team of ecologists will select a random sample of nesting robins in a certain region to estimate the average number of eggs per nest for all robins in the region. Which of the following is a correct inference procedure for the ecologists to use?
A one-sample t-interval for a population mean
Robin Nest's average daily sales were $1,644 based on credit sales and net receivables.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
Average daily sales are the estimated amount of sales made daily in a year.
It can be found by the formula:
= Net credit sales / Number of days in the period
Solving gives:
= 600,000 / 365 days
= $1,644
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The complete question is given below.
Robin's Nest had net credit sales for the current period of $600,000 and average net receivables were $50,000. What is Robin's Nest's average daily sales
Which expression has the same value as (8 x 5) + (8 × 3) ?
A.8x8
B.8 x 15
C.16 + 8
16+8
D 13+11
May grave 1/5 of her property to her son and 1/3 to her daughter. what fraction of her left property is left
The fraction of May's property that is left is 7/15.
What is a fraction?A fraction is a value derived in such a way that it is a part of a given initial value. An example is one third of 12 is 4. In this case, 4 is a fraction of 12.
Considering the given question, we have;
let the total property of May be represented by 1, so that
fraction left after giving 1/5 to her son = 1 - 1/5
= (5 - 1)/ 5
= 4/ 5
The fraction left after giving 1/5 of her property to her son is 4/ 5.
So that;
the fraction left after she gave 1/3 to her daughter = 4/ 5 - 1/ 3
= (12 - 5)/ 15
= 7/ 15
Therefore, the fraction of her property left is 7/ 15.
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