The required value of z such that 0.6318 of the area lies between −z and z is 0.89.
If 0.6318 of the area lies between −z and z, then the area outside of this range is (1-0.6318) = 0.3682.
Since the normal distribution is symmetric, the area to the left of −z is equal to the area to the right of z. So, the area to the right of z is (0.3682 / 2) = 0.1841.
Using a standard normal distribution table, we can find the z-score corresponding to an area of 0.1841 to the right of z:
z = invNorm(0.1841) ≈ 0.89
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Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
7x² /2x +6 divided by 3x -5/ x+3
Answer:
(7x² / 6x - 10)
Step-by-step explanation:
To divide rational expressions, we flip the second fraction (the divisor) and multiply it with the first fraction (the dividend). Then we simplify the resulting expression, if possible.
So,
(7x² /2x +6) ÷ (3x -5/ x+3)
= (7x² /2x +6) * (x+3/3x -5)
= 7x²(x+3) / 2(x+3)(3x -5)
= 7x² / 6x - 10
Therefore, the quotient of the given rational expressions is (7x² / 6x - 10), which cannot be further reduced.
Answer:
2
7x
3
+18x+3−
x
5
Short Solution Steps
7x
2
/2x+63x−5/x+3
Express
2
7x
2
x as a single fraction.
2
7x
2
x
+6×3x−
x
5
+3
Multiply 6 and 3 to get 18.
2
7x
2
x
+18x−
x
5
+3
To add or subtract expressions, expand them to make their denominators the same. Multiply 18x+3 times
2
2
.
2
7x
2
x
+
2
2(18x+3)
−
x
5
Since
2
7x
2
x
and
2
2(18x+3)
have the same denominator, add them by adding their numerators.
2
7x
2
x+2(18x+3)
−
x
5
Do the multiplications in 7x
2
x+2(18x+3).
2
7x
3
+36x+6
−
x
5
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and x is 2x. Multiply
2
7x
3
+36x+6
times
x
x
. Multiply
x
5
times
2
2
.
2x
(7x
3
+36x+6)x
−
2x
5×2
Since
2x
(7x
3
+36x+6)x
and
2x
5×2
have the same denominator, subtract them by subtracting their numerators.
2x
(7x
3
+36x+6)x−5×2
Do the multiplications in (7x
3
+36x+6)x−5×2.
2x
7x
4
+36x
2
+6x−10
Step-by-step explanation:
PLEASE GIVE ME BRAINLIEST I AM LOOKING FOR A FRIEND
If HI=square root 20, classify this triangle by sides. *
10
6
8
b
6
in
4
3₂2
(4
H
scalene
isosceles
3 4
O equilateral
none
I
5
6
7
G
8 9
10
According to the information provided, HI = 20, the triangle can be categorised by sides that are as follows:
what is a sequence?A collection of numbers or "terms" is called a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.I have a code that tells me where to look for words in a sequence. A collection of objects in a peculiar order is called a sequence (or event) in mathematics. . It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.
We need further details regarding the triangle's side lengths in order to identify whether the cylinder is scalene, isosceles, etc equilateral. The cylinder with HI = 20 appears to have no relationship to the sides with lengths values 10, 6, & 8.
Given that the material after "b" contains symbols and numerals that do not make sense together, it can be incomplete or improperly structured. If you would kindly submit a thorough and correctly formatted inquiry, I would be pleased to assist you with sorting the triangle according to its sides or to offer any other information you might require.
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What inequality matches this graph?
A} x > -5
B} x ≥ -5
C} x < -5
D} x ≥-5
According to the given condition. The inequality that matches this graph is option B) x ≥ -5.
What is an inequality equation?An inequality equation is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
According to the given information:The inequality that matches this graph is option B, "x ≥ -5". The graph represents a solid dot at x = -5 and a shaded region to the right of x = -5, including x = -5. This means that x can take on any value greater than or equal to -5, so the inequality can be written as x ≥ -5.
Therefore, According to the given condition. The inequality that matches this graph is option B) x ≥ -5.
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For each of the figures write an absolute value equation to satisfy the given solution set -5 and -1
the given solution set {-5, -1} can be obtained by substituting either of the possible solutions into the absolute value equation and verifying that it holds.
what is an equation ?
In mathematics, an equation is a statement that asserts the equality of two mathematical expressions. An equation typically consists of two expressions separated by an equal sign, with the expression on the left side of the equal sign equal to the expression on the right side of the equal sign.
In the given question,
To write an absolute value equation that satisfies a given solution set, we need to consider the definition of absolute value. The absolute value of a number is its distance from zero the number line. Therefore, an absolute value equation can be written as follows:
|expression| = distance
where the expression is the quantity whose absolute value is being taken, and distance is a non-negative value representing the distance from zero. The equation is satisfied if and only if the expression has a distance from zero that matches the given distance.
For the solution set {-5, -1}, we can write the following absolute value equations for the given figures:
A number line with -5 and -1 marked as solutions:
|x + 3| = 2
This equation is satisfied when x = -5 or x = -1, because |-5 + 3| = 2 and |-1 + 3| = 2.
A number line with -5 and -1 equidistant from zero:
|x| = 5
This equation is satisfied when x = -5 or x = 5, because |-5| = 5 and |5| = 5.
Note that for both figures, the given solution set {-5, -1} can be obtained by substituting either of the possible solutions into the absolute value equation and verifying that it holds.
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Find the value of the annuity and the interest. Round to the nearest dollar.
Periodic Deposit: $100 at the end of each year
Rate: 4% compounded annually
Time: 9 years
The value of the annuity after 9 years is approximately $1,044.56. The interest earned on the annuity after 9 years is approximately $244.56.
What is annuity?A financial contract known as an annuity offers a series of recurring payments over a predetermined length of time. A monthly, quarterly, or annual payment schedule is available when buying an annuity from an insurance provider. The payments are made until the annuitant's death or for a predetermined amount of time.
Deferred annuities and immediate annuities are the two categories under which annuities fall. Deferred annuities are a particular kind of annuity where the payments are postponed for a predetermined amount of time, typically several years. On the other hand, an instant annuity starts paying out as soon as the annuity is bought.
The value of annuity is given by the formula:
[tex]A = P * ((1 + r)^n - 1) / r[/tex]
Substituting the given values we have:
[tex]A = $100 * ((1 + 0.04)^9 - 1) / 0.04\\A = $100 * (1.04^9 - 1) / 0.04[/tex]
A ≈ $1,044.56
Hence, the value of the annuity after 9 years is approximately $1,044.56.
Now, the interest is givn as:
Interest = A - (P * n)
Substituting the values we have:
Interest = $1,044.56 - ($100 * 9)
Interest ≈ $244.56
Hence, the interest earned on the annuity after 9 years is approximately $244.56.
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A cereal box has dimensions of 12 inches, (7)3/4 inches, and 2 inches. A pastry box has a dimensions of (3)2/3 inches, (3)1/2 inches, and (2)1/3 inches. What is the difference in volume, cubic inches, between the two boxes. show your work
The difference in volume between the two boxes would be = 156in³
How to calculate the difference in volume between the boxes?To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;
Volume = length×width×height.
For box 1 = length = 12in, width = 7¾in, height= 2in
Vol = 12×7¾×2 = 186in³
For box 2; length = 3⅔in, width = 3½in, height= 2⅓in
Volume = 3⅔×3½×2⅓ = 30
The difference = 186-30 = 156in³
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Assume that a box contains 3 different of cowpea seeds, with three seeds weighing each, Il seeds weighing 0.81g each, 7 seeds weighing 12g each. What is the probability that a seed selected at random will weigh 0.8
Please help I’m really bad at this
Answer:
the first one
Step-by-step explanation:
you move N to the left of the equation,
and then K to the right of the equation.
voila.
EACH STUDENT IN MR COOPERS CLASS GOT A APPLE ON THEIR FIELD TRIP TO THE APPLE ORCHAD THERE ARE 9 STUDENTS ON THE FIELD TRIP AND EACH APPLE HAS A MASS OF 70 G WHAT IS THE TOTAL MASS OF ALL THE APPLES
The medians of Jill are jn, Jn, and lm. They meet at a single point q. Suppose qp = 11, qm= 10, and jn = 39. Find the following lengths: lm, jq, kq
The lengths we found are:
LM = 20
JQ = 26
KQ = 800 / 117
Let's call the length of the median from vertex J to the opposite side LM, and the length of the median from vertex L to the opposite side JN. We can use the fact that the centroid divides each median into two parts, with the ratio of the longer part to the shorter part being 2:1.
First, we can find LM:
LM = 2 x QM = 2 x 10 = 20
Next, we can find JQ:
JQ = 2/3 x JN = 2/3 x 39 = 26
Finally, we can find KQ:
To find KQ, we need to use the fact that the three medians of a triangle divide each other into six smaller triangles with equal areas. Let's call the length of the third median KX. We know that the area of triangle JLK is:
1/2 x LM x JN = 1/2 x 20 x 39 = 390
Similarly, the areas of triangles JNQ, LMQ, JKP, LKP, and JLP are all equal to 390. Let's call this common area A. Then we have:
1/2 x KX x LM = A
1/2 x KX x JN = A
Dividing these two equations, we get:
LM / JN = KX / LM
Substituting the values we know, we get:
20 / 39 = KX / 20
Solving for KX, we get:
KX = 20 x (20 / 39) = 400 / 39
Now we can find KQ:
KQ = 2/3 x KX = 2/3 x (400 / 39) = 800 / 117
Therefore, the lengths we found are:
LM = 20
JQ = 26
KQ = 800 / 117
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according to the law of sines, which of the following is equal to sin(B)/b
Answer:
[tex]\frac{sin(A)}{a}[/tex]
4 divide by 3/5 as a fration
Answer:
6 and 2/3
Step-by-step explanation:
4 divided by 3/5 is the same as 4 divided by 0.6
4 divided by 0.6 equals 6.6 repeating...
or
6 and 2/3
a plumber has 6 1/3 feet of piping she needs 75 inches of piping does she have enough
Answer:
We need to convert both measurements to the same unit in order to compare them. Let's convert 6 1/3 feet to inches:
1 foot = 12 inches
6 feet = 6 x 12 = 72 inches
1/3 foot = (1/3) x 12 = 4 inches
6 1/3 feet = 72 + 4 + (1/3) x 12 = 76 inches
Therefore, the plumber has 76 inches of piping.
Since the plumber needs 75 inches of piping, we can see that she does have enough piping.
Step-by-step explanation:
f(x)=2x^4-16x^3-3x^2- 8x-2
The positive zero of f is approximately =?
Answer:
To find the positive zero of the function f(x) = 2x^4 - 16x^3 - 3x^2 - 8x - 2, we can use a numerical method such as the Newton-Raphson method or the bisection method.
Let's use the bisection method to approximate the positive zero of f(x).
First, we need to find an interval [a, b] that contains the positive zero of f(x). We can start by evaluating f(x) at some values of x to determine where the function changes sign.
For example, evaluating f(0) and f(1) gives:
f(0) = 2(0)^4 - 16(0)^3 - 3(0)^2 - 8(0) - 2 = -2
f(1) = 2(1)^4 - 16(1)^3 - 3(1)^2 - 8(1) - 2 = -27
Since f(0) is negative and f(1) is also negative, we know that the positive zero of f(x) must be in the interval (0, 1).
Next, we can use the bisection method to refine our estimate of the positive zero. We start by finding the midpoint of the interval [a, b]:
c = (a + b) / 2
If f(c) is positive, then the positive zero of f(x) must be in the interval [a, c]. If f(c) is negative, then the positive zero of f(x) must be in the interval [c, b]. We can then repeat the process, dividing the interval in half each time, until we get an interval that is small enough to give us the desired level of accuracy.
Using this process, we can find the positive zero of f(x) to be approximately 0.818, rounded to three decimal places.
Note that this is just an approximation, and the actual value of the positive zero may be slightly different. We can check our answer by plugging it into f(x) and verifying that the result is very close to zero.
please help me i don’t understand
Answer: the answer is
Step-by-step explanation:
eggs
Find the circumference of the circle. Round to the nearest tenth.
A. 148.4 m
B. 169.6 m
C. 84.8 m
D. 54.0 m
Answer:
251.2 in
Step-by-step explanation:
Circumference of circle = 2 · π · r
π = 3.14
r = 40 in
Let's solve
2 · 3.14 · 40 = 251.2 in
So, the circumference of the circle is 251.2 in
Please help with study island!!
The total volume of the wall units is 108 cubic feet
How to find the volume of the wallThe volume of the wall is solved by dividing the figure to give the various dimensions represented in the form length x width x depth
first division has the dimensions as 3 x 4 x 8 second division has the dimensions as 3 x 2 x 2The volume of each is solved then added to get the total volume
first division: 4 x 4 x 8 = 96
second division: 3 x 2 x 2 = 12
The total volume is
= 96 + 12
= 108 cubic feet
so the total volume is solved to be 108 cubic feet
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pleasee help me due tomorrow
The true statements include
B The x-coordinate of point T' is 5.E The length of segment Q' R' is the same length as segment QR.What is rigid transformation?Rigid transformation is a type of geometric transformation in which the size and shape of an object remain unchanged. Rigid transformations include
translations, rotations, and reflections.In a rigid transformation, the position of the object in space may change, but its size, shape, and orientation remain the same.
In the object in the graph the length of the segments remain same and since the translation affects only y direction the x-coordinate will be unchanged.
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HELP ASAP if ur good with non-linear and increasing lines and choose a letter A,B,C,D,E
(Please see the picture!)
Extra points nd brainlist!
Answer:
A nonlinear line is a line that is not straight. So the answers for these question include B and D
B and D are not straight lines and they are increasing
Step-by-step explanation:
Hope this helps! =D
Mark me brainliest! =D
Find the length of
hk
Answer:
4 1/2
Step-by-step explanation:
If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.
JH * HK = GH * HI
3 * (2x+1) = 2 ( x+5)
Distribute
6x+3 = 2x+10
Subtract 2x from each side.
6x-2x+3 = 2x-2x+10
4x+3 = 10
Subtract 3 from each side.
4x = 10-3
4x= 7
Divide by 4.
x = 7/4
Now find HK.
HK = 2x+1
= 2(7/4)+1
= 7/2+1
= 9/2
= 4 1/2
NO LINKS!!! URGENT HELP PLEASE!!!
Find the point with coordinates of the form (a, 3a) that is in the third quadrant and is a distance 5 from P(2,1).
(x, y) = __________
Answer:
(-8.89, -26.69)
Step-by-step explanation:
To find the point with coordinates of the form (a, 3a) that is in the third quadrant and is a distance 5 from P(2,1), we can use the following steps:
Since the point is in the third quadrant, both the x-coordinate and the y-coordinate must be negative. Therefore, we can write (a, 3a) as (-|a|, -3|a|).We know that the distance between P(2,1) and (-|a|, -3|a|) is 5. We can use the distance formula to set up an equation and solve for |a|:[tex]\sqrt{(2 - (-|a|))^2 + (1 - (-3|a|))^2} = 5\\\sqrt{(2 + |a|)^2 + (1 + 3|a|)^2} = 5[/tex]
Squaring both sides of the equation and simplifying, we get:[tex]a^2 + 8a - 8 = 0[/tex]
Solving for a using the quadratic formula, we get:[tex]a = \frac{-8 ±\sqrt{8^2 - 4(1)(-8)}} {(2(1))}\\a = \frac{-8 ± \sqrt{96}}{ 2}\\a = -4 ± 2\sqrt{6}[/tex]
Since the point is in the third quadrant, we want the negative root, so:[tex]a = -4 - 2\sqrt(6)[/tex]
Substituting this value of a into (-|a|, -3|a|), we get:(x, y) =[tex](-|-4 - 2\sqrt(6)|, -3|-4 - 2\sqrt(6)|)[/tex]
(x, y) ≈ (-8.89, -26.69)
Therefore, the point with coordinates of the form (a, 3a) that is in the third quadrant and is a distance 5 from P(2,1) is approximately (-8.89, -26.69).
Jim recorded the points a group of students scored during a gaming session in the dot plot below. Which measure of center would be best to use for this distribution? A. interquartile range B. mean C. mode D. median
Answer: median
Step-by-step explanation:
A is not a center of measure and nethier ia mode and since the data is skewd it is the median and if it is not skewd it is the mean
On January 1, 2024, Wright transportation sold four school buses to the Elmira School District. In exchange for the buses, Wright received a note requiring payment of $521,000 by Elmira on December 31,2026. The effective interest rate is 7%.
1. How much sales revenue would Wright recognize on January 1, 2024 for this transaction?
2. Prepare journal entries to record the sale of merchandise on January 1, 2024. (Omit any entry that might be required for the cost of the goods sold), the December 31,2024, interest accrual, the December 31,2025, interest accrual, and receipt of payment of the note on December 31,2026.
Using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.
What is sales revenue?Net sales, as used in bookkeeping, accounting, and financial accounting, refer to operating revenues received by a business from the sale of its goods or provision of its services.
They are directly recorded as Sales or Net sales on the income statement and are also referred to as revenue.
The net sales formula is rather simple in profit and sales transactions: net sales = gross sales - (return values + discount losses + sales taxes + allowances).
So, the sales revenue in the given situation would be:
According to the provided data, the sales revenue will be determined as follows:
= Value of note × PVF of receivable
= $528000 × 0.8638
= $456108
Therefore, using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.
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Correct question:
On January 1, 2021, Wright Transport sold four school buses to the Elmira School District. In exchange for the buses, Wright received a note requiring payment of $534,000 from Elmira on December 31, 2023. The effective interest rate is 6%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.). How many sales revenue would Wright recognize on January 1, 2020, for this transaction?
Find the area of the composite figure(will mark brainliest)
The area of the composite figure is equal to 278 square inches
How to calculate for the area of the figureThe composite figure can be observed to be made up of two triangles, a rectangle and a parallelogram, so we shall calculate for the area and sum the results to get the total area of the composite figure as follows:
area of top triangle = 1/2 × 8 in × 11 in = 44 in²
area of the side triangle = 1/2 × 9 in × 4 in = 36 in²
area of the rectangle = 11 in × 9 in = 99 in²
area of the parallelogram = 11 in × 9 in = 99 in²
total area of the composite figure = 44 in² + 36 in² + 99 in² + 99 in²
total area of the composite figure = 278 in²
Therefore, the area of the composite figure is equal to 278 square inches
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Write as a logarithm with a base of 4. -4
Answer:
4 cannot be written as a logarithm with a base of 4. A logarithm is an exponent that tells us how many times we need to multiply a base by itself to get a certain number. For example, log2(8) = 3 because 2^3 = 8. We can write this as an equation: logb(x) = y means b^y = x.
-4 cannot be written as a logarithm with a base of 4 because there is no exponent that can make 4 equal to -4. In other words, there is no y such that 4^y = -4. This is because any positive number raised to any power will always be positive. Therefore, log4(-4) is undefined or does not exist.
Therefore, -4 cannot be written as a logarithm with a base of 4.
Step-by-step explanation:
There are 132
chairs in a room.
99 of the chairs are red.
What percentage of the chairs are red?
Answer:
75%
Step-by-step explanation:
99/132=0.75
Answer:
75% of the chairs are red
Step-by-step explanation:
99/132 chairs are red. When divided, that equals 0.75. 0.75 is equivalent to 75%.
A rectangular room is 2 feet
longer than it is wide. Its area is 168 square feet. Set this up as a quadratic equation
Answer:
x = -14 and x = 12
Step-by-step explanation:
Let x be the width of the rectangular room in feet. Then, according to the problem, the length of the room is 2 feet longer than the width, or x + 2 feet.
The area of a rectangle is given by the formula A = length × width, so we have:
A = (x + 2) × x = x^2 + 2x
We are also given that the area of the room is 168 square feet, so we set A = 168 and get:
x^2 + 2x = 168
This is a quadratic equation in standard form, where 1x^2 + 2x - 168 = 0. We can solve this equation by factoring or using the quadratic formula. This will give us the value(s) of x, which represents the width of the room. Once we have the width, we can find the length by adding 2 feet to it.
And x is : -14 and 12
6. What measurement do you need to calculate in order to determine the amount
of space each structure encloses? (1 point)
Hence,Volume measurement do you need to calculate in order to determine the amount of space each structure encloses .
What is the volume?We take a measurement of a shape of volume arrangement to discover how much space are contain . The volume of a body is the amount of three - dimensional space that it surrounded and it can be determine by multiplying the shape of length , breath , and width or height.
How to find volume?we can use the equation are Volume = Length x Width x Height to compute the volume of simple structure like as rectangular prisms. It may be necessary to divide more raised structures into simply shapes, determine the volume of each shape, and then add the volumes of each shape to determine the everywhere volume of the construction.
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1 Suppose another student says he spends $29 each
week on entertainment. Will the mean and median
increase or decrease?
decreas
2 What is the new mean when the value from problem 1
is included in the data set?
Show your work. For elementary kids
Answer:
Step-by-step explanation:
Joshua says that this picture represents 4.2 . Makayla says that this picture represents 42 . Use the drop-down menus to explain how either could be correct
according to the given statement both are having correct interpretation with or without decimal.
what is decimal?Both integer as well as non-integer amounts are frequently expressed using the decimal number system. The Hindu-Arabic number system has been expanded to include non-integer values. Decimal notation is the method used to represent numbers using the system of decimals. Either a whole number as well as a fractional number can be found in a decimal number. Decimal numbers that fall between integers are used to express complete and partially completed amounts numerically. A decimal point separates the whole number from the fractional portion of a decimal number. The little dot which appears among whole numbers as well as fractions is known as the decimal point.
given,
Joshua could be correct because the picture shows four full squares and two tenths of another square. This can be written as the decimal 4.2, where the 4 represents the four full squares and the 0.2 represents the two tenths of a square.
Makayla could also be correct because the picture can be interpreted as representing 42, but not as a decimal. Rather, each square could represent a value of 10, and the two smaller squares could represent a value of 1 each. This gives a total value of 42, as Makayla suggests.
So, both interpretations of the picture could be correct, depending on whether one is using a decimal or a whole-number system.
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