Answer:
C. The population is all seniors at Riverview High; the sample is the 100 seniors surveyed.
Step-by-step explanation:
The Population in statistical terms refers to the objects, people, organisms, etc that a researcher wishes to study. Usually, the population is so large that it might be difficult for the researcher to study all of them. To solve this problem, a sample is thus obtained from the population in such a way that participants have an equal chance of being chosen for the study. The result gotten from this sample can then be generalized to the entire population.
In the example provided, all the seniors at Riverview High are the population under study. The 100 seniors chosen from this population are the sample.
The population in this setting is all seniors at Riverview High and the sample is the 100 seniors surveyed.
What is a Population?
A population is the party of interest in an experiment. It is from a population the sample is derived. A population consists of all the members of the group.
What is a Sample?A sample is a smaller group of the population. A sample is sometimes necessary because it might not be feasible or cost effective to access the whole population.
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1. John and Sally each had a salad and two waters as well as a piece of
cheesecake for dessert, which came to $20.50. Their salads were
delicious, but their cheesecake was not as fresh and it should have
been. They decide to leave the standard 15% tip. How much of a tip will
they leave and how much is their total?
These triangles are scaled copies of each other. Four right triangles labeled F, B, G, and H. Triangle F has the vertical side labeled 8, the horizontal side labeled 6, and the longest side labeled 10. Triangle B has the vertical side labeled 2, the horizontal side labeled 3 halves, and the longest side labeled 5 halves. Triangle G has the vertical side labeled 4, the horizontal side labeled 3, and the longest side labeled 5. Triangle H has the vertical side labeled 8 thirds, the horizontal side labeled 2, and the longest side labeled 10 thirds. For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first? Remember that area is scale factor x scale factor. Use Triangle G and Triangle F
Answer:
The question is not complete, below is the completed question:
These triangles are scaled copies of each other. Four right triangles labeled F, B, G, and H. Triangle F has the vertical side labeled 8, the horizontal side labeled 6, and the longest side labeled 10. Triangle B has the vertical side labeled 2, the horizontal side labeled 3 halves, and the longest side labeled 5 halves. Triangle G has the vertical side labeled 4, the horizontal side labeled 3, and the longest side labeled 5. Triangle H has the vertical side labeled 8 thirds, the horizontal side labeled 2, and the longest side labeled 10 thirds. For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first? Remember that area is scale factor x scale factor.
1. Triangle G and Triangle F
2. Triangle G and Triangle B
3. Triangle B and Triangle F
4. Triangle F and Triangle H
5. Triangle G and Triangle H
6. Triangle H and Triangle B
Answer:
1. Triangle G and Triangle F = 4 times
2. Triangle G and Triangle B = 0.2 times
3. Triangle B and Triangle F = 16 times
4. Triangle F and Triangle H = 0.11 times
5. Triangle G and Triangle H = 0.44 times
6. Triangle H and Triangle B = 0.56 times
Step-by-step explanation:
using the image of the triangles attached to this solution, let us calculate the area of each pair of triangles
1. Area of Triangle = [tex]\frac{base\ \times\ height}{2}[/tex]
[tex]F = \frac{6 \times 8}{2} = \frac{48}{2} = 24\\B = \frac{\frac{3}{2} \times 2 }{2} = \frac{3}{2} = \frac{3}{2}\\ G = \frac{3 \times4}{2}= \frac{12}{2} = 6\\ H = \frac{2 \times \frac{8}{3} }{2} = \frac{16}{6} = \frac{8}{3}[/tex]
To find by how many times the second triangle is larger than the first, we will calculate the ratio of the areas of the second triangle to the first
1. Triangle G and Triangle F = 24:6 = 4
∴ The area of triangle F is 4 times larger than triangle G
2. Triangle G and Triangle B = 3/2 : 6 = [tex]\frac{1}{4}[/tex] = 0.2
∴ The area of triangle B is 0.2 times larger than triangle G
3. Triangle B and Triangle F = [tex]24 : \frac{3}{2} = 16[/tex]
∴ The area of triangle F is 16 times larger than triangle B
4. Triangle F and Triangle H = [tex]\frac{8}{3} : 24 = \frac{1}{9} = 0.11[/tex]
∴ The area of triangle H is 0.11 times larger than triangle F
5. Triangle G and Triangle H = [tex]\frac{8}{3} : 6 = \frac{4}{9} = 0.44[/tex]
∴ The area of triangle H is 0.44 times larger than triangle G
6. Triangle H and Triangle B = [tex]\frac{3}{2} : \frac{8}{3} = \frac{9}{16} = 0.56[/tex]
∴ The area of triangle B is 0.56 times larger than triangle H
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Answer:
yeah fr
Step-by-step explanation:
A single card is drawn from a standard deck. Find the probability of the following event. (Enter your probability as a fraction.) Drawing a black card or a face card
Answer:
8/13
Step-by-step explanation:
In a standard deck there are 52 cards. Let A denote the event of drawing a black card and B denote the event of drawing face card. We have to find P(A or B) or P(A∪B).
P(A∪B)=P(A)+P(B)-P(A∩B)
There are 26 black cards in a standard deck so,
P(A)=26/52.
There are 12 face cards in a standard deck so,
P(B)=12/52.
There are 6 cards that are black face cards.
P(A∩B)=6/52.
P(A∪B)=P(A)+P(B)-P(A∩B)
P(A∪B)=26/52+12/52-6/52
P(A∪B)=38/52-6/52
P(A∪B)=32/52
P(A∪B)=8/13
Thus, probability of drawing a black card or a face card is 8/13.
Graph the linear function f(x) = 3 – 6x .
Answer:
put one point at (0,3)
put another point at (1,-3)
draw a line between them
Step-by-step explanation:
could u vote me brainliest plz? thx :)
The standard formula for calculating the equation of a line is expressed as
y = mx + b
m is the slope of the line
b is the y-intercept of the line
Given the equation to graph expressed as g(x) = 3 - 6x
First, we need to get the x and y-intercept of the line expressed as:
For the x-intercept, y = 0
0 = 3 - 6x
6x = 3
x = 0.5
The x-intercept is at (0.5, 0)
For the y-intercept, x = 0
y = 3 - 6(0)
y = 3
The y-intercept is at (0, 3)
Plot the graph of a line passing through the coordinate points (0.5, 0) and (0, 3) as shown below;
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A researcher wants to determine if birthweights of children born to U.S. mothers is affected in any way when large megadoses of caffeine are consumed routinely by the mother during pregnancy. It is known that the birthweights are normally distributed with mean 7.5 pounds and standard deviation 1 pound. When drawing a sample of size 40 from such a population, and computing the mean birthweight in the sample, use the Central Limit Theorem to find the 2.5-th percentile of the distribution of sample means.
Answer:
7.19
Step-by-step explanation:
Use the measurements of the original figure and the scale drawing to calculate the scale factor and missing measures.
What is the scale factor?
What is the length of A?
What is the length of B?
Answer:
Step-by-step explanation: scale factor is 1/10 the length of a is 1 the length of b is 8.5
The scale factor is 1/10, the length of A is 1 cm and the length of B is 8.5 cm.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
The basic formula to find the scale factor of a figure is expressed as,
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
From the given figure,
Scale factor = 6.2/62
= 1/10
The length of A = 1/10 ×10 cm
= 1 cm
The length of B = 1/10 ×85 cm
= 8.5 cm
Therefore, the scale factor is 1/10, the length of A is 1 cm and the length of B is 8.5 cm.
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Celia is renting a scooter for the day. There is a linear relationship between the number of hours the scooter is rented and the cost. Based on the table, what is the initial fee for the scooter?
Answer:
Step-by-step explanation:
The answer is $26
Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725 ?Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725 ?
The correct and complete question is shown below;
The random variable X denotes the GMAT scores of MBA students who were accepted to top MBA programs in Fall 2012. Assume that is normally distributed with a mean [tex]\mu_x[/tex] = 675 and a standard deviation [tex]\sigma_x = 30[/tex]
Typically, an MBA student who has a GMAT score above 710 is eligible for financial support. Given that a student is eligible for financial support, what is the probability that the student’s GMAT score is higher than 725?
Answer:
The probability that the student's GMAT score is higher than 725 = 0.3928
Step-by-step explanation:
From the given information:
Let X be the random variable that follows a normal distribution;
Then;
[tex]X \sim N( \mu_x = 675, \sigma_x = 30)[/tex]
To objective is to determine the probability that [tex]P(X > 725 | X > 710)[/tex]
[tex]P(X > 725 | X > 710)= \dfrac{P(X > 725 \cap X > 710 )}{P(X > 725)}[/tex]
[tex]\dfrac{P(X > 725 )}{P(X > 710)}=\dfrac{1 - P(X < 725) }{1- P(X < 710)}[/tex]
By using the EXCEL FORMULA: [tex]"= NORMDIST(x, \mu_x , \sigma_x , 1)"[/tex]
P(X< 725) = [tex]" = NORMDIST(725,675,30,1)"[/tex]
P(X< 725) = 0.9522
P(X< 710) = [tex]" = NORMDIST(710,675,30,1)"[/tex]
P(X< 710) =0.8783
[tex]P(X > 725 | X > 710)=\dfrac{1 - 0.9522}{1- 0.8783}[/tex]
[tex]P(X > 725 | X > 710)=\dfrac{0.0478}{0.1217}[/tex]
[tex]P(X > 725 | X > 710)=0.3928[/tex]
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.18 F and a standard deviation of 0.65 F. Using the empirical rule, find each approximate percentage below.
a.
What is the approximate percentage of healthy adults with body temperatures within 3 standard deviation of the mean, or between 96.23 F and100.3 F?
Answer:
99.7%
Step-by-step explanation:
Empirical rule formula states that:
• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.
• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
From the question, we have mean of 98.18 F and a standard deviation of 0.65 F
The approximate percentage of healthy adults with body temperatures between 96.23 F and100.13 F is
μ - 3σ
= 98.18 - 3(0.65)
= 98.18 - 1.95
= 96.23 F
μ + 3σ.
98.18 + 3(0.65)
= 98.18 + 1.95
= 100.13 F
Therefore, the approximate percentage of healthy adults with body temperatures between 96.23 F and 100.13 F which is within 3 standard deviations of the mean is 99.7%
Can an opposite and an absolute value of an integer be the same?
Yes and opposite and an absolute value of an integer will be the same.
Paul split an inheritance between two investments, one paying 7% annual interest and the other 10%. He invested twice as much in the 10% investment as he did in the 7% investment. If his combined annual income from the two investments was $4050, how much did he inherit?
What is the solution to Zx =5g(2x-c)
Answer:
zx = 5g(2x-c)
zx = 10gx - 5gc
zx - 10gx = - 5gc
answer is x = 5cg/10g-z
Step-by-step explanation:
im sorry if its not the right answer but i think its right
What is the measure of an exterior angle of a regular 14-sided polygon? Enter your answer as a decimal in the box. Round to the nearest tenth of a degree.
Answer:
21.715 degrees.
Step-by-step explanation:
There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. So the exterior angle of each is 180-154.285 = 21.715 degrees.
Find the value of each variable.
I need help only on 3 please
Real Numbers Quiz Active 1 2 3 4 Which answer describes the type of numbers that are dense? whole numbers and integers O whole numbers but not integers rational numbers and irrational numbers rational numbers but not irrational numbers
Answer:
C. rational numbers and irrational numbers
Step-by-step explanation:
Rational numbers are those numbers that can be used to express the ratio of two whole numbers. An example is the figure 2. It can be expressed as a fraction of another number like when we write 2/8. Both figures are rational. Irrational numbers cannot be used to express the ratio of two whole numbers or integers. An example is a digit like 0.666666... Rational and irrational numbers are real numbers because real numbers encompass all the types of numbers we can think of, positive, negative, decimals, whole, etc.
The density of numbers is seen in the fact that there is no vacuum created between real numbers when plotted on the number line.
Sophia says that you can solve the problem in the Example by multiplying both quantities in the ratio 60:36 by one-sixth. Is Sophia correct?
Answer:
Sophia is not correct
Step-by-step explanation:
The given situation represent the problem of a ratio and it is predicted to do the simplify the ratio by determining the smallest possible values
Here it can be presented 60:36 as a fraction i.e. [tex]\frac{60}{36}[/tex]
Now the fraction should be fall by dividing both the numerator and denominator by a common factor i.e. 6
Now after dividing it, the fraction would be [tex]\frac{10}{6}[/tex]
Now it can be further reduced by a common factor i.e. 2
So now the fraction is [tex]\frac{5}{2}[/tex]
Thus, the ratio is 5:2
Hence, she is not correct
PLZ ANSWER FAST (60 POINTS + BRAINLIEST)
Answer:
are we looking for the intercept
Step-by-step explanation:
ex. an analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Answer:
x=00s
Step-by-step explanation:
Joe Mathis works as a pianist in a local restaurant. He makes $8.50 an hour.
He was able to work 39 hours last week. How much money did he make that
week?
Answer:331.5
Step-by-step explanation:
Multiplication is the process of multiplying. The amount that is made by Joe last week is $331.5.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that Joe Mathis works as a pianist in a local restaurant. He makes $8.50 an hour. He was able to work 39 hours last week. Therefore, the amount that is made by Joe Mathis in the last week is,
Amount made by Joe = Amount paid per hour × Number of hours
= $8.50 per hour × 39 hours
= $331.5
Hence, the amount that is made by Joe last week is $331.5.
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What is a perfect squares
Answer:
A square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it can be written as 3 ×3
HOPE IT WILL HELP U!!!!!!
2 x + 3 = x − 4 solve for x
Please anyone?
Answer:
x=-7
Step-by-step explanation:
[tex]2x - x = - 4 - 3[/tex]
[tex]x = - 7[/tex]
i think this is the answer
Answer:
x = -7
Step-by-step explanation:
subtract 3 from both sides and subtract x from both sides
x = -7
A dentist sees a patient every 20 minutes. He works an average of 60 hours per week. How many patients does he see in a year. He takes 3 weeks vacation. Round your answer down.
Answer:
1040
Step-by-step explanation:
answers for the homies that don’t wanna do the work edge 202
Can you all help me ? Please this is my test grade
I only have 15 minutes to finish
Answer:
(x+2)+(x-6)=16
Step-by-step explanation:
the center of the circle is (h, k)
In this case it's (-2,6)
the radius is 4 which is known as r
the formula is: (x-h) + (x-k)= r^2
then you just plug it in
What is mAngleMHJ? HELP PLEASE
35°
50°
72.5°
92.5°
Answer:
35
Step-by-step explanation:
set 2x-20 = x+15 and solve
Answer:
50
Step-by-step explanation:
EDGE2021
Solve for n.
-53 + n = -28
-35
-25
25
35
Answer:
25
Step-by-step explanation:
-28+53
Hope this helps! :)
Issac read that 32% of people owned dogs . What decimal represents the portion of people who do not own dogs ?
Answer:
68 % = .68
Step-by-step explanation:
Bailey had 35.78 Elena have 39.51 how many seconds bailey could have won by
Answer:
the answer would be 3.73
Step-by-step explanation:
all you gotta do is subtract 39.51 and 35.78 and you get your answer
If Merrida multiplies the first term, 7 by a factor of 6 what should she do to find the other term for the equivalent
ratio?
Can someone help me with number 1 and 2
