The area of 0.6808 to its left using the Standard Normal Table.
steps: 1. Identify the area: In this case, the area to the left of the z-score is given as 0.6808.
2. Consult the Standard Normal Table: This table shows the area to the left of various z-scores, ranging from negative to positive values.
3. Locate the closest area value: Look for the value in the table that is closest to the given area (0.6808). The table is typically organized into rows and columns, with the row header representing the first two digits of the z-score and the column header representing the third digit.
4. Identify the z-score: Once you've found the closest area value, determine the corresponding z-score by combining the row and column headers where the value is located.
Upon checking the Standard Normal Table, the closest area value to 0.6808 is 0.6800, which corresponds to a z-score of 0.47.
Keep in mind that the Standard Normal Table may not have the exact area value of 0.6808, so you need to find the closest possible value.
In summary, the z-score with an area of 0.6808 to its left using the Standard Normal Table is approximately 0.47.
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You want to conduct a poll to discover the proportion of individuals who believe that global warming is not going to be a problem. If you believe the proportion is about 80%, how many individuals will you need to sample to have a 90% confidence interval with a margin of error no more than 5%?at least 271at least 174at least 246
The number of individuals will need to be sampled to have a 90% confidence interval with a margin of error no more than 5% is at least 246.
To determine the sample size needed for a 90% confidence interval with a margin of error no more than 5%, we can use the formula:
n = ([tex]z^{2}[/tex] * p * q) / [tex]E^{2}[/tex]
where:
n = sample size
z = z-score for the desired confidence level (in this case, 1.645 for 90%)
p = proportion of individuals who believe global warming is not a problem (0.8)
q = 1 - p (0.2)
E = margin of error (0.05)
Plugging in these values, we get:
n = ([tex]1.645^{2}[/tex]* 0.8 * 0.2) / [tex]0.05^{2}[/tex]
n ≈ 246
Therefore, at least 246 individuals will need to be sampled to have a 90% confidence interval with a margin of error no more than 5%. The answer is at least 246.
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Alex lunch cost 12.00. She added a 15%tip to the price of the lunch How much did Alex pay for her lunch and tip
Alex will pay 13.8 for her lunch after adding a 15% tip.
We will calculate the amount she paid for her lunch by calculating the tip she paid and adding it to the original price of the lunch(i.e. 12).
[tex]\implies{\sf{15 \% \ of \ 12 \ = \ 12 \times \dfrac{\cancel{15}}{\cancel{100}} }}[/tex]
[tex]\implies{\sf{Tip = \cancel{12} \times \dfrac{3}{\cancel{20}}}}[/tex]
[tex]\implies{\sf{Tip = 3 \times \dfrac{3}{5}}}[/tex]
[tex]\implies{\sf{Tip = \dfrac{9}{5}}}[/tex]
[tex]\implies{\sf{ Tip = 1.8}}[/tex]
Now, add the amount of lunch and tip
[tex]\implies{\bf{ Total \ amount = 12 + 1.8}} \\ \implies{\bf{Total \ amount = 13.8}[/tex]
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https://brainly.com/question/25748640On Ernest Airlines, baggage cannot weigh more than 40 pounds. Devin packed 21 pounds of clothes and four packages which weighed a total of 7 pounds. Write an inequality for this scenario. Then solve and determine the weight that each package must be less
Inequality for this scenario
x ≤ 4.75
So, each package must weigh less than or equal to 4.75 pounds in order for Devin to stay within the weight limit of 40 pounds on Ernest Airlines.
HOW TO SOLVE AN INEQUALITY?Let x be the weight of each package (in pounds).
The inequality for the scenario can be written as:
21 + 4x ≤ 40
This represents the total weight of Devin's clothes (21 pounds) plus the total weight of the four packages (4x pounds) cannot exceed the weight limit of 40 pounds on Ernest Airlines.
To solve for x, we can subtract 21 from both sides of the inequality:
4x ≤ 40 - 21
4x ≤ 19
Finally, we divide both sides by 4 to isolate x:
x ≤ 19 / 4
Let x be the weight of each package (in pounds).
The inequality for the scenario can be written as:
21 + 4x ≤ 40
This represents the total weight of Devin's clothes (21 pounds) plus the total weight of the four packages (4x pounds) cannot exceed the weight limit of 40 pounds on Ernest Airlines.
To solve for x, we can subtract 21 from both sides of the inequality:
4x ≤ 40 - 21
4x ≤ 19
Finally, we divide both sides by 4 to isolate x:
x ≤ 19 / 4
x ≤ 4.75
So, each package must weigh less than or equal to 4.75 pounds in order for Devin to stay within the weight limit of 40 pounds on Ernest Airlines.
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Which graph represents the function f(x)=-|x-1|-2
Answer:
its in the picture
Step-by-step explanation:
Graph the absolute value using the vertex and a few selected points.
x y
−1 -4
0 -3
1 -2
2 -3
3 -4
basically, the answer is the graph that looks like this...
hope this helps ;)
If y=5/3+4 what’s Y and what slope would that make?
Answer: 5/3
Step-by-step explanation:
y = mx +b
m is equal to the slope
b is the y intercept
therefore, m or 5/3 is the slope.
A grocery store sells a bag of 6 oranges for $4. 80. If Austin spent $8. 00 on oranges, how many did he buy
Answer:
10 oranges
Step-by-step explanation:
We Know
A grocery store sells a bag of 6 oranges for $4.80
4.80 / 6 = $0.80 for one orange
If Austin spent $8.00 on oranges, how many did he buy?
We Take
8 / 0.80 = 10 oranges
So, he bought 10 oranges.
A wedding tent is built in the shape of a right rectangular prism topped with a rectangular pyramid. The dimensions of the prism are 34 ft by 40 ft by 8 ft, and the height of the pyramid is 5 ft. Find the total volume of the tent. Round your answer to the nearest tenth if necessary.
The total volume of the wedding tent is approximately 13146.7 cubic feet.
What is the total volume of the tent?The volume of a rectangular prism is expressed as;
V = w × h × l
The volume of rectangular pyramid is expressed as;
V = (1/3) × l × w × h
Where w is the width, h is height and l is length
To find the total volume of the wedding tent, we need to find the volumes of the rectangular prism and the rectangular pyramid and add them together.
Given that: the dimensions of the rectangular prism are 34 ft by 40 ft by 8 ft.
Therefore, the volume of the rectangular prism is:
V_prism = w × h × l
V_prism = 34ft × 40ft × 8ft
V_prism = 10880 ft³
Next, we find the volume of the rectangular pyramid.
Note that: the dimensions of the base of the rectangular pyramid are the same as the dimensions of the rectangular prism, which are 34 ft by 40 ft.
Hence:
The volume of rectangular pyramid is expressed as;
V_pyramid = (1/3) × l × w × h
V_pyramid = (1/3) × 34ft × 40ft × 5ft
V_pyramid = 2266.7ft³
Now we can find the total volume of the tent by adding the volume of the rectangular prism and the volume of the rectangular pyramid:
V_total = V_prism + V_pyramid
V_total = 10,880 + 2266.7
V_total = 13146.7 ft³
Therefore, the total volume of the tent is 13,146.7 ft³
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Choose the correct graph of the given system of equations. y + 2x = −1 3y − x = 4 Group of answer choices graph of two lines that intersect at the point negative 1, 1, with text on graph that reads One Solution negative 1, 1 graph of two lines that intersect at the point 1, 1, with text on graph that reads One Solution 1, 1 graph of two parallel lines with positive slopes with text on the graph that reads No Solution graph of two lines on top of each other with text on graph that reads Infinitely Many Solutions
The correct option is- A. graph of two lines with the intersecting point at (negative 1, 1).
Explain about the intersecting lines:On a plane, intersecting lines are any two or more lines that cross one another. The point of intersection, which can be found on all intersecting lines, is the common point shared by the intersecting lines.
Given system of equations:
y + 2x = −1 ...eq 1
3y − x = 4 ..eq 2
multiply eq 2 with 2 and add to eq 1
6y − 2x = 8 ..eq 3
6y − 2x + y + 2x = 8 - 1
7y = -7
x = -1
Now,
y + 2x = −1
y + 2(-1) = −1
y = -1 + 2
y = 1
Thus, the solution of the given system of equations. y + 2x = −1 and 3y − x = 4 is found as :(-1, 1).
The graph for the equations are attached.
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Correct question:
Choose the correct graph of the given system of equations. y + 2x = −1 and 3y − x = 4 .
Group of answer choices :
A. graph of two lines that intersect at the point (negative 1, 1)
B. graph of two lines that intersect at the point (1, 1) < Not
C. graph of two parallel lines with positive slopes
D. None of the above
mrs lopez types at a constant rate the constant of proportionality for the relationship between the number of words she types w, and the number of minutes she types m,is 38 write an equation to show this relationship
The equation that shows the relationship is w = 38m.
Writing an equation to show this relationshipIf Mrs. Lopez types at a constant rate, then the number of words she types is directly proportional to the amount of time she types. We can express this relationship using the formula:
w = km
where w is the number of words typed, m is the number of minutes spent typing, and k is the constant of proportionality.
We are given that k = 38, so we can substitute this value into the formula to get:
w = 38m
Therefore, the equation that shows the relationship between the number of words Mrs. Lopez types and the number of minutes she types is w = 38m.
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You are at a Riverdogs game and want to tip your server 15%. If your bill was $12, how much tip do you leave?
Answer: $1.80
Step-by-step explanation: 15% of 12 is 1.8
A sphere has a radius of 2. 1 cm. What is the volume of sphere in cm3 (use 3. 14 for π? round to the nearest whole number
The volume of the sphere is approximately 39 cm³.
A sphere is a three-dimensional shape that is perfectly round, just like a ball. It is characterized by its radius, which is the distance from its center to any point on its surface. In your problem, the sphere has a radius of 2.1 cm, which means that every point on its surface is exactly 2.1 cm away from its center.
To find the volume of a sphere, we use the formula V = (4/3)πr³, where V is the volume, π is a mathematical constant approximately equal to 3.14, and r is the radius of the sphere.
Plugging in the values from your problem, we get:
V = (4/3)π(2.1)³
V = (4/3)π(9.261)
V = 39.082 cm³
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Sheryl makes $7 per pair of earrings, e and $13 per necklace, n, she sells what expression represents her total income
Answer:
You just need to create an expression with the variables then add them together to get the total income: 7e + 13n
What is the area of this composite shape? Enter your answer in the box
The area of the given composite figure is 40 square inches.
What is a composite figure?
A composite figure and shape are the same thing. A composite figure is any object that may be disassembled into multiple fundamental shapes.
We are given a composite figure which can be broken into a triangle and a rectangle.
So,
⇒ Area of composite figure = Area of Rectangle + Area of triangle
⇒ Area of composite figure = (length * breadth) + ([tex]\frac{1}{2}[/tex] * base * height)
⇒ Area of composite figure = (5 * 7) + ([tex]\frac{1}{2}[/tex] * 5 * 2)
⇒ Area of composite figure = 35 + 5
⇒ Area of composite figure = 40 square inches
Hence, the area of the given composite figure is 40 square inches.
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question 1 help me asap
Answer:
-1 = (-1/2)(6) + b
-1 = -3 + b, so b = 2
y = -(1/2)x + 2, so m = -1/2 and b = 2
Select the correct answer.
Scatter plot graph in quadrant 1 of a coordinate plane. 12 points are plotted approximated at (2, 3), (4, 5), (5.8, 4), (5.9, 6.1), (3, 13), (4.9, 7.9), (5.5, 9.1), (6.5, 8), (6.5, 10), (7.5, 7.1), (8, 9), and (8.1, 10.1).
Which point represents the outlier?
A.
(2, 3)
B.
(4, 5)
C.
(3, 13)
D.
(8, 9)
Answer:
d
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
c
Given the triangle ABC, if angle A is 9 º, side a is 44 m, and side b is 46 m, find angle C. Please round to one decimal
The angle of C is 161.4°.
Law of Sine:Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The other names of the law of sines are sine law, sine rule and sine formula.
We have :
In the Triangle ABC,
Angle A is 9 º
Side of a is 44 m,
and side of b is 46 m
To find the angle of C
Now, use the law of sines to find angle B:
b/sin B = a/sin A
Plug all the values in above formula :
=> 46/Sin B = 44/Sin 9°
=> 46 × Sin9°/ 44 = Sin B
Sin B = 0.164
[tex]B = Sin^-^10.164[/tex]
B = 9.555
Now, By angle sum of property of a triangle,
The sum of three angles of a triangle is 180°
So, Let's apply angle sum property to find angle C
=> ∠ A + ∠ B + ∠C = 180°
Put the value of B = 9.555 and angle A = 9°
=> 9° + 9.555 + ∠C = 180°
18.555 +∠C = 180°
∠C = 180°- 18.555
∠C = 161.4°
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Consider ▰WXYZ. If WV=18, what is XZ?
WX must be positive because it measures the width of a trapezoid's side. WX thus equals 16.
what is trapezium ?A parallelogram with at least two pair of parallel sides is known as a trapezium in geometry (or a parallelogram in American English). The legs of a trapezium are the non-parallel sides, whereas the parallel sides are referred to as the bases. The legs of a zygomatic arch might be equal in length (isosceles) or varied in length (non-isosceles). By averaging the widths of the two bases and multiplying by the height, a trapezium's area can be determined (the perpendicular distance between the two bases). that is Area equals (a + b)*h / 2. where h is the trapezium's height and a and b are the lengths of the base's two parallel sides (the bases).
given
MN can be used in place of XV2 in the equation, and the result is simplified to:
XV² = (1/4) (WX + 18)² + h²
Now, we can add the following expression for XV2 to the equation for WX2:
WX² = 18² + XV²
WX² = 18² + (1/4) (WX + 18)² + h²
Adding and subtracting:
3WX² - 218WX - 18² = 4h²
We can now resolve WX:
WX is equal to (218 sqrt((218)2 - 43(-182))). / (2*3)
WX = 16 or -27
WX must be positive because it measures the width of a trapezoid's side. WX thus equals 16.
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1. Complete the table and determine the rule for this transformation.
Answer:
the table is analysis swap around
Step-by-step explanation:
like if the input is (3,1) the output will be (1,3)
The power of -1 to a function, or ((f^-1)(x)), means...
The power of -1 to a function, or [tex]((f^{-1})(x)),[/tex]represents the inverse function of f. In other words, if f(x) produces a certain output y, then the inverse function[tex]f^{-1}(y)[/tex]will produce the input x. It is important to note that not all functions have an inverse, and if they do, they may only be valid for certain inputs and outputs.
In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f1. The inverse of f exists if and only if f is bijective.
[tex]((f^{-1})(x)),[/tex]
The inverse function of f is denoted by. For a function, its inverse admits an explicit description: it sends each element to the unique element such that f(x) = y1.
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10-
9
8
7
6
654321
AJ
B
1 2 3 4 5 6 7 8 9 10
a) What are the coordinates of A?
b) What are the coordinates of B?
X
The coordinates of B when it is given that A(5,-2) and M(12,6) is (29, 14).
How to find the coordinatesIf M is the mid-point of line segment AB, and the coordinates of A = (5,-2) while the coordinates of B = (12,6), then the coordinates of M = (8.5,2), which is what you stated that you got.
You are provided with M = (12,6) so you need to identify the coordinates of B. So, just ask yourself how did I get from A to M ? The answer is move 7 right and 8 up since 5 + 7 = 12 while -2 + 8 = 6. All you have to do is add 7 more to the x-value and 8 more to the y-value to obtain the correct answer of (19,14).
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Find the coordinates of B when it is given that A(5,-2) and M(12,6),
Find the volume of the cylinder in terms of π.
A. 154π cm3
B. 406π cm3
C. 539π cm3
D. 1078π cm3
Answer:
Step-by-step explanation:
The correct answer is option D, 1078[tex]\pi[/tex] [tex]cm^{3}[/tex].
The volume of the cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h.
Radius = 7cm Height = 22cm.
Substituting the value in the formula, we get
[tex]\pi[/tex]*[tex]7^{2}[/tex]*22 = 1078[tex]\pi[/tex].
Hence the Answer is 1078[tex]\pi[/tex].
Answer:
3386.64 cm3
Step-by-step explanation:
i use this formula π r² h
A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.
Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44
Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
Question 15(Multiple Choice Worth 2 points)
Answer:Answer: A. tennis=17 , soccer= 12, baseball=27, basketball=44
BAR GRAPH make sure its not a histogram!!
Step-by-step explanation:
just took the test
How do you express 0.000 000 000 000 1 in exponential form.
Answer:
1 x 10^-12
Step-by-step explanation:
....
Divide the sum of 13/5 and -12/7 by their difference
Answer to these fraction is 31/151
Describe fraction.
Any numerical value that is not a whole number is referred to as a fraction. It symbolizes a portion of something or several portions of something. The numerator and the denominator are the two components of a fraction. The denominator indicates how many equally sized pieces make up a whole, whereas the numerator indicates how many equally sized parts are picked from the whole or collection.
To divide a fraction, all you need to do is flip its numerator and denominator, multiply the outcome by the other fraction, and simplify1.
In light of this, we have:
SUM:
(13/5) + (-12/7) = (13× 7 + -12 ×5) / (5 ×7)
= (91 - 60) / 35 = 31/35
DIFFERENCE:
(13/5) - (-12/7) = (13× 7 - -12× 5) / (5× 7)
= (91 + 60) / 35 = 151/35
Dividing these two fractions:
(31/35) ÷ (151/35) = (31/35)×(35/151) = 31/151
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RIGHT ANSWER GETS BRAINLIEST POINTS AND 15 POINTS. Fill in the blanks with greater or less
Answer: The mean of data set K is greater than the mean of data set L.
The median of data set K is greater than the median of data set L
Step-by-step explanation:
we need to calculate the mean (average) of each data set and compare them.
Mean of data set K = (28 + 145 + 112 + 57 + 130) / 5 = 112.4
Mean of data set L = (141 + 171 + 68 + 124 + 43) / 5 = 109.4
'Arranging the values in data set K in ascending order, we get:
28, 57, 112, 130, 145
The median of data set K is the middle value, which is 112.
The mean of data set L is 109.4.
Write 7.725666118 as a percentage
please show the method too.
Answer: 773%
Step-by-step explanation: 7.725666118 x 100 = 772.5666118
772.5666118 = 773 (rounded).
So, 7.725666118 as a percentage is 773%
For example, 50% is written in decimal form as 0.5
And, 0.5 x 100 = 50.
Multiplying by 100 is the same thing as moving the decimal two places to the right.
A deck of standard playing cards holds 52 unique cards.
36 of these cards are numbered cards (numbered 2-9), 4
of these cards are aces, and 12 of these cards are face
cards (jack, queen, and king). If you play a card game and
draw half of the face cards, one ace, and one fourth of the
numbered cards, how many cards do you have? How
many of each card type of card do you have? Cite
evidence from the problem.
Answer:
Based on the information in the problem, you would have a total of 16 cards, with 6 being face cards, 1 being an ace, and 9 being numbered cards.
Step-by-step explanation:
According to the issue:
The deck contains 52 distinct cards.
There are 36 numbered cards ranging from 2 to 9.
There are four aces in the deck.
There are 12 face cards (including the jack, queen, and king).
If you draw half of the face cards, one ace, and one-fourth of the numbered cards, you will get the following:
Face cards in half: 1/2 * 12 = 6 face cards
1 ace: 1 ace
One-fourth of a deck of numbered cards: 1/4 * 36 = 9 decks of numbered cards
When you add these up, you get a total of 6 + 1 + 9 = 16 cards.
Based on the information in the problem, you would have a total of 16 cards, with 6 being face cards, 1 being an ace, and 9 being numbered cards.
every student who particpated in field day actives received a water bottle. the water bottle. the water bottle cam in 2 different colors. Based on your simulation how many students had to receive a water bottle in order to distribute water bottles in both colors?
In circle E with
m
∠
D
E
F
=
4
8
∘
m∠DEF=48
∘
and
D
E
=
6
DE=6, find the area of sector DEF. Round to the nearest hundredth
The area of sector DEF is 15.09 square units
How to find the area of sector DEF?The formula for area of a sector is:
A = (θ/360) * πr²
Where θ is the angle subtended at the center and r is the radius of the circle.
In this case, DE is the radius.
Thus r = 6 cm and θ = 48°
Substituting:
A = (48/360) * π * 6²
A = (48/360) * (22/7) * 36
A = 15.09 square units
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Complete Question
Check image attached
PLEASE HELP I have no idea how to do this.. our teacher hasnt been here all week.. and I have no clue what this is..
solve for the value of V (9v+3)° 60°
The value of v is 13 degrees.
What are supplementary angles?Supplementary angles are a set of given measure of angles which add up to 180 degrees. Thus producing a measure of the sum of angles on a straight line.
To determine the value of v in the given diagram, we have;
60 + (9v + 3) = 180 (sum of angles on a straight line)
So that;
9v + 3 = 1890 - 60
9v + 3 = 120
9v = 120 - 3
= 117
v = 117/ 9
= 13
v = 13^o
The value of v in the question is 13 degrees.
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