Answer:
5(n-3)=17
Hope this Helps!
n is the variable I chose I didn't know if their had to be a specific one.
Step-by-step explanation:
According to an article, 75% of high school seniors have a driver's license. Suppose we take a random sample of 300 high school seniors and find the proportion who have a driver's license. Find the probability that more than 77% of the sample have a driver's license. Begin by verifying that the conditions for the Central Limit Theorem for Sample Proportions have been met
Using the normal distribution and the central limit theorem, it is found that there is a 0.2119 = 21.19% probability that more than 77% of the sample have a driver's license.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem, we have that:
75% of high school seniors have a driver's license, hence p = 0.75.A sample of 300 is taken, hence n = 300.The conditions are verified because:
np = 300 x 0.75 = 225 > 10.
n(1-p) = 300 x 0.25 = 75 > 10.
The mean and the standard error are given by:
[tex]\mu = p = 0.75[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.75(0.25)}{300}} = 0.025[/tex]
The probability that more than 77% of the sample have a driver's license is one subtracted by the p-value of Z when X = 0.77, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{0.77 - 0.75}{0.025}[/tex]
Z = 0.8
Z = 0.8 has a p-value of 0.7881.
1 - 0.7881 = 0.2119.
0.2119 = 21.19% probability that more than 77% of the sample have a driver's license.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
Factor completely 2x2 − 18. Prime 2(x2 − 9) 2(x 3)(x − 3) 2(x 3)(x 3).
By using identity we got the factorization form of [tex]2x^2-18[/tex] as
[tex]2(x-3)(x+3)[/tex]
What is factorization?factorization is a way of writing any expression in form of product of some expressions
Given polynomial
[tex]2x^2-18[/tex]
We can factorize it as
[tex]2x^2-18\\\\2(x^2-9)\\\\2(x^2-3^2)\\\\2(x-3)(x+3)[/tex]
By using identity we got the factorization form of [tex]2x^2-18[/tex] as
[tex]2(x-3)(x+3)[/tex]
To learn more about factorization visit :https://brainly.com/question/25829061
1. Martha can complete 15 activities a day at summer camp. She can choose between crafts or sports.
Answer:
art
Step-by-step explanation:
Write an equation in slope intercept form of the line that has a slope of 6 and goes through the point (3,-2)
Answer: y=6x-20
Step-by-step explanation:
Can anyone help in this question......
Answer:
They are all 100
Step-by-step explanation:
Each side has a meaning it is the same and all but one have an a. The one that doesnt has 100.
The answer is 100
Have an amazing day!
PLEASE RATE!!
Step-by-step explanation:
Total angle of regular pentagon = 540
4a + 100 = 540
4a = 440
a = 110°
Need help on this question ASAP PLEASEE and thank you!! (:
Answer:
8^(3x-4)=5x+4
#9 find the slope in the graph MULTIPLE CHOICE
What is the ancwer, worth 10 points!!!!
3/7 divided by 2/3
Choises: 6/21, 1/2, 9/14, 1 5/9
Answer: 9/14
Step-by-step explanation: To divide, you fave the find the reciprocal of 2/3, which is 3/2. Now you multiply 3/7 and 3/2 across, which is 9/14.
Brianna asked 45 students if they would vote for her to be student council president. She used her calculator to compare the number of students who said yes with the total number of students. Her calculator showed the result as 0.6222.... Answer parts a and b. a. Write this number as a fraction.
Complete question :
Brianna asked 45 students if they would vote for her to be student council president. She used her calculator to compare the number of students who said yes with the total number of students. Her calculator showed the result as 0.6222...
1. Write this number as a fraction (Steps)
2. How many students said they would vote for Brianna?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Total number of students = 45
Proportion of those who said yes to the total number of students = 0.62222...
1.) writing 0.622222... as a decimal
0.62222 / 1
Multiply numerator and denominatior by 100000 to get rid of the decimal
62222/100000
= 31111 / 50000
Let number who said yes = y
Then,
y / 45 = 31111/50000
50000y = 1399995
y = 1399995 / 50000
y = 27.999
y = 28
A process that is considered to be in control measures an ingredient in ounces. Below are the last 10 samples (each of size n = 5) taken. The population process standard deviation is 1.36. Samples 1 2 3 4 5 6 7 8 9 10 9 13 13 11 11 10 9 13 7 9 8 11 9 11 10 10 12 11 7 12 9 12 9 12 10 7 11 7 13 10 10 14 11 10 10 13 9 9 12 7 13 12 10 10 9 9 10 8 10 13 a) Standard deviation of the sampling means = . 608 ounces (round your response to three decimal places). b) With z = 3, the control limits for the mean chart are: UCL Subscript x overbar = 12.124 ounces (round your response to three decimal places). LCL Subscript x overbar = 8.476 ounces (round your response to three decimal places). c) The control limits for the R-chart are: UCL Subscript Upper R = nothing ounces (round your response to three decimal places).
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Population standard deviation (σ) = 1.36
Sample size (n) = 5
A.)Standard deviation of sampling mean (σx) = (σ/√n)
(1.36/√5)
1.36 / 2.236
= 0.608
B.) With z = 3, the control limits for the mean
chart :
Control limit = m ± zσx
Using calculator ; mean (m) of the data = 10.40
Lower control limit : 10.4 - 3(0.608) = 8.576
Upper Control limit : 10.4 + 3(0.608) = 12.224
The control limit for the range :
Average value of range(R) in the sample = 3.6
Lower Control limit : R*D3
Upper control limit: R*D4
From the range chart table :
D3 = 0 ; D4 = 2.114
Lower Control limit : R*D3 = 3.6(0) = 0
Upper control limit: R*D4 = 3.6(2.114) = 7.61
jessica's fish tank has 19 liters of water in it. she plans to add 5 liters per minute until the tank has more than 59 liters. what are the possible numbers of
minutes jessica could add water?
use t for the number of minutes.
write your answer as an inequality solved for t.
Answer:
8 minutes.
Step-by-step explanation:
Using ' t ' for the number of minutes.
" 59 > 19 + 5t "
→ Solve for t...
= 59 > 19 + 5t
= 59 - 19 > 5x
= 40 > 5t
= 40/5 > t
= 8 > t
Thus, It will take 8 minutes to add 59 litres of water.
19+5t>59
5t>59-19
5t>40
t>8
The radius of a circle is 111 units.
What is the diameter of the circle? khan academy
Answer:
222
Step-by-step explanation:
Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle. The circumference of a circle can be defined as the distance around the circle, or the length of a circuit along the circle.
Use > , < , or = to compare the numbers below:
49 ____ 49
Answer: =
Step-by-step explanation:
49 = 49
Answer:
=
Step-by-step explanation:
if we have 49 cookies, and another person also had 49 cookies, then my friend and I would have the equal amount of cookies. 49 is not less than 49, and 49 is not greater than 49.
6. A pizza's original price is $11. It is on sale for $9.25. What percent off is it?
Solution:
We know that:
[tex]Original \ price = \$11[/tex]
[tex]Sale \ price = \$9.25[/tex]
[tex]\frac{9.25}{11} + \frac{1.75}{11} =100\%[/tex]
Simplify the equation to find the percent off:
[tex]\frac{9.25}{11} + \frac{1.75}{11} =100\%[/tex]
[tex]84\% + \bold{16\%} = 100\% \space\ \space\ \space\ \ \ \ \ [Rounded][/tex]
This means that the original price has decreased about 16%.
Find the slope then describe what it means in terms of the rate of change of the dependent variable per unit change in the independent variable. The linear function f(x)=4.1x+26 represents the percentage of people, f(x), who graduated from college x years after 1998
Answer:
Kindly check explanation
Step-by-step explanation:
Given the linear function: f(x)=4.1x+26
Comparing the equation with the general linear regression Equation :
f(x) = mx + c
Where ;
m = slope ; x = independent variable ; c = intercept
Hence, the slope of the equation is 4.1
The expression goes those; the dependent variable y increases by 4.1 per 1 degree increase in the dependent variable.
PLEASE HELP THIS IS DUE IN 10 MINUTES
How would you solve for x?
11,928/1,988 = x/1
Answer:
6/1 GO GO GO
Step-by-step explanation:
Please Help! Leave Explanation :))
A digital board game has 25 squares
with 5 squares of each color. The
results of 625 games are shown below.For which color is the experimental probability closest to the theoretical probability?
Answer:
20%
Step-by-step explanation:
Answer:
Had this on my test its pink
Step-by-step explanation:
625/5 (the total amount of colors, the 5)
you get 125 the closes to 125 is pink
Question Below However i have to fill in the 20 characters so yeah comment the answer
Using proportions, it is found that the change in 2007 was about 5.07 times greater than the change is 2000.
What is a proportion?A proportion is a fraction of a total amount. Using it, to find how many times a measure a is greater than a measure b, we divide a by b.
In this problem:
In 2007, the change was of $0.71.In 2000, the change was of $0.14.Hence:
$0.71/$0.14 = 5.07.
The change in 2007 was about 5.07 times greater than the change is 2000.
More can be learned about proportions at https://brainly.com/question/24372153
Chris bought 26 pounds of sugar for $11
How many pounds of sugar did he get per dollar?
Answer:
2.36lb/$
Solution:
(26lb) ÷ (11$) = 2.36lb/$
Is 10−−√ greater than, less than, or equal to 5? Use the drop-down menus to explain your answer. Because 10 lies between two consecutive perfect squares, Choose... , 10−−√ is located between the Choose... of these two numbers. This means that 10−−√ is located between Choose... , so 10−−√ is Choose... 5.
Answer:
[tex]\sqrt{10} < 5[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{10}[/tex] ___ [tex]5[/tex]
Required
Fill in the gap
First, we need to solve [tex]\sqrt{10}[/tex]
[tex]\sqrt{10}= 3.162[/tex]
So:
[tex]\sqrt{10}[/tex] ___ [tex]5[/tex]
becomes
3.162 ___ 5
3.162 lies between 3 and 4
So, we can say that
[tex]\sqrt{10}[/tex] lies between 3 and 4
Since:
3.162 is less than 5, the gap can be filled with <.
So, we have: 3.162 < 5
Quadratics
Give an example of an x-intercept from a vertex form equation.
Please do It fast, I need it
If a scale factor of One-fifth is used to make a reduction, what is the base of the original triangle?
The reduction was 1/5.
Because you are given the reduced values, multiply the reduced value by the inverrse of the factor:
Inverse of 1/5 = 5
Height = 3 x5 = 15
Base = 5 x 5 = 25
The base is 25
PLEASE HELP ILL GIVE BRAINLINEST
Which expression is equivalent to 7 2/3 ⋅ 71/4?
A. 7 3/7
B. 7^-1
C. 7 5/12
D. 7 11/12
Step-by-step explanation:
D. 7 11/12
hope this help!!!
Can someone help me on this question? I’ll mark you brainliest if you answer soon!!!
a || b = given
l || m = given
angle 6 equals angle 9 = corresponding angles.
angle 9 equals angle 16 = alternate exterior angles.
angle 6 equals angle 16 = transitive property.
A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseball cost $4 each. The inequality 185+4b≤1,000 can be used to determine the number of new baseball, b, that the team can purchase. Which statement about the number of new baseballs that can be purchased is true?
This question is incomplete
Complete Question
A baseball team had $1,000 to spend on supplies. The team spent $185 on a new bat. New baseballs cost $4 each.
The inequality 185 + 4b ≤ 1,000 can be used to determine the number of new baseballs (b) that the team can
purchase. Which statement about the number of new baseballs that can be purchased is true?
A. The team can purchase 204 new baseballs.
B. The minimum number of new baseballs that can be purchased is 185.
C. The maximum number of new baseballs that can be purchased is 185.
D. The team can purchase 185 new baseballs, but this number is neither the
maximum nor the minimum.
Answer:
D. The team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.
Step-by-step explanation:
The first step would be to solve the given equation:
185 + 4b ≤ 1000
4b ≤ 1000 - 185
4b ≤ 815
Divide both sides by 4
b ≤ 203.75
The maximum amount of baseballs the team can buy is 203. This means that they can buy 203 or less than that amount.
Of all the options give, option D is the correct option because the team can purchase 185 new baseballs, but this number is neither the maximum nor the minimum.
The maximum number of ball they can buy is 203 balls and the minimum is zero.
HELP
Which point is located at (1, 3)?
A
B
C
D
Answer:
I don't know if you typed the question wrong, but coordinates are written as (x, y).
A (1, -3)
B (-3, 1)
C (-1, 3)
D (3, -1)
Hope I helped!
Step-by-step explanation:
The length of a rectangle is five times its width.
If the area of the rectangle is 405cm^2, find perimeter
Answer:
108
Step-by-step explanation:
Let's say the width is x
Of the length is 5 times the width, then the length is 5x
Area = length * width
405 = x * 5x
405 = 5x^2
405/5 = 5x^2/5
81 = x^2
Take the square root of both sides
2/[81 = 2/[x^2
9 = x = width
9 × 5 = 45 = length
Perimeter = 2 × length + 2 × width
2 × 45 + 2 × 9
90 + 18 = 108
The box plots show the number of hours of television a group of middle school students and a group of elementary school students watch each week.
Middle School Students
2 box plots. The number line goes from 0 to 10. For middle school students, the whiskers range from 1 to 9, and the box ranges from 2 to 7. A line divides the box at 4. For elementary school students, the whiskers range from 1 to 9, and the box ranges from 4 to 7. A line divides the box at 5.5.
Elementary School Students
Which are true statements when comparing the data in the box plots? Select three choices.
The data for elementary school are more consistent than those for middle school.
More of the data for middle school lie closer to the median than the data for elementary school.
About 50% of elementary school students watch between 4 and 7 hours of television each week.
About one-half of middle school students watch less than 2 hours of television each week.
On average, middle school students watch less television than elementary school students each week.
The correct answer is A,C and D
I'm smart yw :)
Can you please help me solve this using multiplication 1/2x+4=3
Answer:
x = -2
Step-by-step explanation:
[tex]\:\frac{1}{2}x+4=3[/tex]
[tex]\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}[/tex]
[tex]\frac{1}{2}x+4-4=3-4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\frac{1}{2}x=-1[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}2[/tex]
[tex]2\cdot \frac{1}{2}x=2\left(-1\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-2[/tex]
[RevyBreeze]
Convert the equation into Slope-Intercept Form:
x - y = 11