Using the proportion of students who enjoy watching Dancing with the Stars from Grace's survey, we can estimate that approximately 133 students at her school are expected to enjoy the show.
Grace surveyed 60 random students at her school and found that 14 enjoy watching Dancing with the Stars. With a total of 570 students in the school, we can establish a proportion to estimate how many students school-wide might enjoy the show. We do this by setting up a ratio of students who enjoy the show to the total number of students surveyed and then use that ratio to estimate the number for the entire school population.
To calculate, we take the ratio from the survey (14/60) and apply it to the total student body (570) like so:
Determine the ratio of students who enjoy the show from the survey: 14 out of 60.Find what proportion that ratio represents: 14/60 = 0.2333 (rounded to four decimal places).Apply this proportion to the entire student population: 0.2333 * 570 = 133.01, which we round to 133 students expected to enjoy Dancing with the Stars.Therefore, approximately 133 students in Grace's school are expected to enjoy watching Dancing with the Stars.
Which of the following numbers is between 0.40 and 0.47?
A) 7/50
B) 19/50
C) 21/50
D) 43/50
Find the distance between -3 and 4.
A) -12
B) -7
C) -1
D) 7
Answer:
i just did it its positive 7
Step-by-step explanation:
how many solutions does this system of equations have?
y= -3x + 7
y= -3x -6
choices
a. infinitely many
b. 2
c. 1
d. 0
Please do 24 1/2 - 19 5/8
anyone willing to help?
There are a total of 500 students in grades 1 through 5 in an elementary school. 17% of the total number of students are in 1st grade. 19% of the total number of students are in 4th grade. The number of 3rd-grade students is 9 less than the number of 4th-grade students. The number of 2nd-grade student is 10 less than the number of 5th-grade students. How many students are in each grade.
122 students in 5th grade, 112 in second grade
Angles that are located outside the triangle are called (blank)
the sum of the exterior angles of a triangle is (blank) degrees
what are remote interior angles?
How is the graph of y= 1/3x related to its parent function y=1/x
I am thinking of a number, when I add 5 and multiply the answer by 2 I get 28. What is my number?
translate each phrase into a mathematical expression
q1the quotient of four less than y and twice x
q2the product of a and the sum of a thirteen
both 2 questions answer plz
Jennie says the experimental probability that a 7th grade student reads at least 100 pages per week is 16/125. What is her error and the correct experimental probability?
HERE IS THE CHART
| pages | 6th | 7th | 8th| {Grades}
| 75 pages | 24 | 18 | 22 |
| 100 pages | 22 | 32 | 24 |
| 150 pages | 30 | 53 | 25 |
Jennie incorrectly calculated the experimental probability of a 7th grader reading at least 100 pages per week. The correct calculation is the sum of 7th graders who read 100 and 150 pages, divided by the total number of 7th graders, resulting in an experimental probability of 85/103.
Jennie's error lies in calculating the experimental probability that a 7th grade student reads at least 100 pages per week incorrectly. To find the correct experimental probability, we need to add the number of 7th graders reading 100 pages and those reading 150 pages, then divide by the total number of 7th graders. According to the chart, 32 read 100 pages and 53 read 150 pages. The total number of 7th graders is the sum of students reading 75, 100, and 150 pages, which is 18 + 32 + 53 = 103. So, the correct experimental probability is (32 + 53) / 103 = 85 / 103.
for the diagram below which equation is the correct use of the distance formula
the last one D is
D= √(11-6)^2 + (5-y2)^2
Answer: The correct equation is,
[tex]6.71=\sqrt{ (11-5)^2+(y_2-6)^2}[/tex]
Step-by-step explanation:
If [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the endpoints of a line segment,
Then by the distance formula,
The length of the line segment is,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here, (5,6) and (11, [tex]y_2[/tex] ) are the endpoint of the line segment which has the length 6.71,
Thus, d = 6.71, [tex]x_1=5[/tex] [tex]y_1=6[/tex], [tex]x_2=11[/tex]
[tex]\implies 6.71 = \sqrt{ (11-5)^2+(y_2-6)^2[/tex]
Which is the required equation.
Brian wants to buy a motorcycle and is planning to get motorcycle insurance. Suppose the average accident rate is 0.1, and the average expenses incurred on accidents is $38,000. The insurance plan has a yearly premium of $1,000 and a deductible of $4,000.
If after 4 years of insuring 100 people, 9 motorcycle drivers had an accident, where does the company stand after money has been taken in and paid out for this group of 100 insured people?
$85,500
-$36,000
$94,000
$58,000
Answer:
The correct option is $94,000
Step-by-step explanation:
Yearly premium under the insurance plan = $1,000
Total premium from single motorcycle driver in 4 years = $1,000 * 4 = $4,000
Number of people insured = 100
Total premium collected from 100 motorcycle drivers = $4,000 * 100 = $400,000
Average expenses incurred on accident = $38,000
Deductible = $4,000
Net expenses incurred per accident = $38,000 - $4,000 = $34,000
In 4 years , 9 motorcycle drivers had an accident
Total expenses incurred for accident = $34,000 * 9 = $306,000
Net savings of Insurance Company = total premium - total expenses = $400,000 - $306,000 = $94,000
Hope it helps.
Thank you !!
Whats the value of x?
x = ___
need help plzz.......according to the graph of H (w)......
two more than the product of a number and 8 is 5
The unknown number is [tex]\( \frac{3}{8} \).[/tex]
Let's solve the problem step by step.
Given: Two more than the product of a number and 8 is 5.
Let's denote the unknown number as [tex]\( x \)[/tex].
According to the problem, we can express the given condition in an equation:
[tex]\[8x + 2 = 5\][/tex]
To find the value of [tex]\( x \)[/tex], we need to isolate it on one side of the equation. We'll begin by subtracting 2 from both sides to get rid of the constant term on the left side:
[tex]\[8x = 5 - 2\][/tex]
[tex]\[8x = 3\][/tex]
Now, to solve for [tex]\( x \)[/tex], we'll divide both sides of the equation by 8:
[tex]\[x = \frac{3}{8}\][/tex]
So, the solution to the equation is [tex]\( x = \frac{3}{8} \).[/tex]
Now, let's provide a brief explanation:
The equation [tex]\(8x + 2 = 5\)[/tex] is formed based on the given problem statement. By subtracting 2 from both sides and then dividing by 8, we isolate the variable [tex]\( x \)[/tex] to find its value, which is [tex]\( \frac{3}{8} \).[/tex]
Thus, the correct answer is:
[tex]\[ x = \frac{3}{8} \][/tex]
Complete question:
Two more than the product of a number and 8 is 5
a basketball court is a rectangle with a perimeter of 1040 feet. The length is 200 feet more than the width. What is the width and length of the basketball court?
How to write 6.08 in expanded form
6.08 = (6 x 1) + (0/10) + (8/100)
a normal distribution pf data has a mean of 15 and a standard deviation of 4 how many standard deviations from the mean is 25
Answer:
c 2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
:)
what is
[tex]3\times \frac{ 2}{8} [/tex]
Brianna took out a car loan for $12,250 that has a 0% APR for the first 20 months and will be paid off with monthly payments over a 4 years. For how many months will Brianna be charged interest.
Final answer:
Brianna will be charged interest for 28 months.
Explanation:
To determine how many months Brianna will be charged interest, we need to first calculate the total number of months she will be making payments. Since there are 4 years in total, and each year has 12 months, the total number of months is 4 years * 12 months/year = 48 months.
For the first 20 months, Brianna has a 0% APR and will not be charged interest. So we subtract these 20 months from the total number of months to find out how many months she will be charged interest: 48 months - 20 months = 28 months.
Therefore, Brianna will be charged interest for 28 months.
Please help me! Show work thank you so much
Make x the subject of the formula y=ax
from a class containing 12 girls and 10 boys , students are to be selected to serve on a school advisory panel.
Realy Need this Right away
using the distributive property,which of the following expression is equivalent to 4(3+4y) 12+16y,12+4y,7+4y,7+8y
Ms. Ito's art class used 2/3 of bottle of blue paint. If they used 1/4 as much red paint as blue paint. How many bottles of red paint did they use?
Final answer:
The class used 2/3 of a bottle of blue paint and 1/4 as much red paint, which means they used 1/6 of a bottle of red paint.
Explanation:
To solve the problem presented by Ms. Ito's art class, we first need to determine the amount of blue paint used and then calculate the red paint used based on that amount. The class used 2/3 of a bottle of blue paint. Since they used 1/4 as much red paint as blue paint, we need to divide the amount of blue paint by 4 to find the amount of red paint used.
Calculation: (2/3) ÷ 4 = 2/3 ÷ 1/4 = (2×1)/(3×4) = 2/12 = 1/6
Therefore, the class used 1/6 of a bottle of red paint.
mrs.pappert left her house a quater past 7:00. At what time did she leave her house
About what percent of the village women took between 48 and 56 minutes to collect one container of water?
The range of the given whisker box plot is 64-45=19.The percent of the village women took between 48 and 56 minutes to collect one container of water lie in the middle box.The middle “box” represents the middle 50% of scores for the group .The middle 50% of scores fall within the inter-quartile range.The upper and lower whiskers represent scores outside the middle 50%.
About 50% of the village women took between 48 and 56 minutes to collect one container of water.
The range of the given whisker box plot is 64-45=19.The percent of the village women took between 48 and 56 minutes to collect one container of water lie in the middle box.The middle “box” represents the middle 50% of scores for the group .The middle 50% of scores fall within the inter-quartile range.The upper and lower whiskers represent scores outside the middle 50%.
About 50% of the village women took between 48 and 56 minutes to collect one container of water.
jalen deposited 3 370 into a savings account that earns 1.8% simple intrest each year calculate the intrest jalen earns after 4 years
Answer:
17.5
Step-by-step explanation: