Answer:
A sample size of 551 is required.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation of 7 hours.
This means that [tex]\sigma = 7[/tex]
Determine the sample size required to have a margin of error of 0.585 hours.
This is n for which M = 0.585. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.585 = 1.96\frac{7}{\sqrt{n}}[/tex]
[tex]0.585\sqrt{n} = 1.96*7[/tex]
[tex]\sqrt{n} = \frac{1.96*7}{0.585}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*7}{0.585})^2[/tex]
[tex]n = 550.04[/tex]
Rounding up(as for a sample of 550 the margir of error will be a bit above the desired target):
A sample size of 551 is required.
Which input value produces the same output value for the two functions on the graph?
Answer:
x=3
Step-by-step explanation:
Please make sure to add more information to the question next time. I had to do some research to find which question you are talking about. I hope this is one of the answer options because you didnt provide any of the answer options. Thanks :)
the intersection of the two lines of a function both equations have the same x and y
therefore,
x=3
The formula of calculating the gradient of a line is
Answer:
To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction.
Find the total surface area. Round to the nearest hundredth if necessary.
Answer:
166
Step-by-step explanation:
multiply the 6 by 2 and then multiply 13 by 10
to get 166
someone please help me answer this!!
Answer:
4 1/10
Step-by-step explanation:
4.1
= 4 + 1/10
= 4 1/10
Hope you understand!
Liam invests $5,000 in an account that pays 2.5% compound interest annually. He uses the expression P(1+r)t to find the total value of the account after t years. What will be the total value of the account after 3 years?
Answer:
The final balance is $5,389.
The total compound interest is $389.
Step-by-step explanation:
In a class of 50 students, 20 play hockey and 35 play football . 10 students play both hockey and football.
The vertices of ABC are A(-2,4), B (-2,2), and C (-5,2). If ABC is reflected across the line y=1 to produce the image A”B”C find the coordinates of the vertex B’
The vertices of ∆ABC are A (-2,5), B(-2,4), and C(-5, 3). If ∆ABC is reflected across the line y=-2 to produce the image ∆A’B’C, find the coordinates of the vertex A’ if ∆ABC is reflected across the line x= -2.
Help ASAP HELP ME PLEASE HELP
Are these triangles congruent ?
Answer:no
Step-by-step explanation:
State the name of the property illustrated. 5 + [7+(4)] = (5+7) + (4)
A. Communtative property of addition
B. Identity property of addiction
C. Associative property of addition
Can someone help me with 1 2 and 3 please
Answer:
1. vertical angles
2. 90°, complementary
3. 180°, supplementary
Answer:
1) Vertical angles
2) 90°, complementary
3) 180°, supplementary
Step-by-step explanation:
1) Intersecting lines form vertical angles.
According to the word problem, ∠APC and ∠DQB are formed by intersecting lines, meaning they are vertical angles.
2) ∠AQV is 30°, and ∠VQT is 60°.
30° + 60° = 90°. The sum of these angles is 90°.
And, complementary angles are two angles with measures that sum up to 90°.
3) ∠AQC is 150°, because 30° + 60° + 60° = 150°.
∠CQB is 30°.
And, 150° + 30° = 180°.
Supplementary angles are two angles with measures that sum up to 180°.
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Help
Answer: 30
Step-by-step explanation:
You put the numbers from least to greatest. 27,28,28,29,29,29,30,30,30,31,31,31,33,34. Then the median would be 30 and 30. So then you would add the two numbers 30 + 30 then divide by 2. 60/2 and the answer would be 30. Hopefully that was helpful.
what equation represents a line that when if graphed, passes through the points (0, -1) and
(1, 1).
25, 87, 90, 25, 67
Mean:
Median:
Mode:
Range:
500,100,300,300,500,100
Mean:
Median:
Mode:
Range:
5,5,4,4,3,3,2
Mean:
Median:
Mode:
Range:
Answer:
mean number 1 25+87+90+25+67=294 294/5 58.8 question 2 500+100+300+300+500+100=1800 1800/6 =300
Answer:
Step-by-step explanation:
Mean: 289 (not sure)
Median: 90
Mode: 25
Range: 65
Mean: 1794 (still not sure)
Median: 300
Mode: 400?
Range: 400
Mean: 19
Median: 4
Mode: i dont know
Range: 3
Edwin is making brownies. He has m cups of flour. He realized that he needs 3/4 more flour than he currently has to make the brownies. Which expression represents the total amount of flour he needs to make the brownies?
Answer:
3/4 + m
Step-by-step explanation:
Answer:
3/4 + m
Step-by-step explanation:
63°
13°
Choose the equation that best describes the image.
Answer:
13+63 if I'm not wrong......
Which of these groups of relative frequencies would be best represented by a
pie chart?
A. 16%; 18%; 17%; 16%; 17%; 16%
B. 20%; 19%; 21%; 20%; 20%
C. 6%; 14%; 80%
D. 25%; 24%; 26%: 25%
Answer:
C
Step-by-step explanation:
different size wedges would be the most visibly different
Which function describes this table of values
Is it A or B or C or D
Answer:
c
Step-by-step explanation:
In the formula, l = a + (n - 1)d make d as the subject. Find d when l = 10, a = 2, n = 5.
Answer:
d=2
Step-by-step explanation:
l=a+(n-1) d
10=2+(5-1)d
10-2=4d
8=4d
d=2...
Answer:
2
Step-by-step explanation:
I = a + (n - 1)d
10 = 2 + (5 - 1)d
10 = 2 + 4d
10 - 2 = 4d
8 = 4d
d = 2
Manny goes bowling.
- He has $25.00 to spend.
- He spends $4.25 to rent shoes.
- He spends $2.50 for each game he bowls.
Which inequality can Manny use to determine x, the greatest number of games he can bowl?
A. 2.5+4.25x≥25
B.4.25+2.5x≥25
C. 2.5+4.25x≤25
D. 4.25+2.5x≤25
Answer:
D
Step-by-step explanation:
Which value is equivalent to V-25?
A. -5i
B. -5
C. 5
OD. 5i
Answer:
[tex]\sqrt{-25} = 5i[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{-25[/tex]
Required
An equivalent
We have:
[tex]\sqrt{-25[/tex]
Express -25 as -1 * 25
[tex]\sqrt{-25} = \sqrt{-1 * 25}[/tex]
Split
[tex]\sqrt{-25} = \sqrt{-1} * \sqrt{25}[/tex]
[tex]\sqrt{25} = 5[/tex], so:
[tex]\sqrt{-25} = \sqrt{-1} * 5[/tex]
[tex]\sqrt{-1} = i[/tex] --- complex numbers
So:
[tex]\sqrt{-25} = i * 5[/tex]
[tex]\sqrt{-25} = 5i[/tex]
Hence, the equivalent is (D)
What is the slope of the line perpendicular to 2x-3y=8
Answer:
y = - [tex]\frac{3}{2}[/tex]x - [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
2x-3y=8
rewrite, solve for y
3y = 2x - 8
divide by 3
y = [tex]\frac{2}{3}[/tex]x - [tex]\frac{8}{3}[/tex]
perpendicular = negative reciprocal slope = - [tex]\frac{3}{2}[/tex]
10 x __= 5/6 + 5/6 Solve.
Answer:
[tex]let \: that \: number \: be \: m \\ 10 \times m = \frac{5}{6} + \frac{5}{6} \\ 10m = \frac{10}{6} \\ m = \frac{10}{60} \\ m = \frac{1}{6} [/tex]
Find the critical value t for the confidence level c= 0.98 and sample size n=7.
Click the icon to view the t-distribution table.
=(Round to the nearest thousandth as needed.)
Answer:
The critical value is T = 3.143.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 7 - 1 = 6
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.143.
The critical value is T = 3.143.
If the figure is reflected over the x-axis, what are the coordinates of point R?
Answer:
R' (3,-3)
Step-by-step explanation:
25 points!!!
A system of equations is shown.
2x + 2y = 24
X = 3y
What is the value of x + y?
Enter your response here: Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answer:
x+y=12
Step-by-step explanation:
First, substitute 3y for the spots with x:
2(3y) + 2y = 24
6y+ 2y = 24
8y= 24
y= 3
Then sub in 3 in the y place:
x= 3(3)
x= 9
Then plug in the x and y values in the equation:
9 + 3 =12
Good Luck!!!
plz mark me Brainliest!
If you know this you’re very smart!
Answer:
Its B and its not that hard because im doing that rn lol but do you need me to explain?
Step-by-step explanation:
How to convert kilometres to minutes
A pole that is 2.5 m tall casts a shadow that is 1.07 m long. At the same time, a nearby tower casts a shadow that is
37.25 m long. How tall is the tower? Round your answer to the nearest meter.
Answer:
The tower is 61.65 meters tall.
Step-by-step explanation:
Kenzie finds purple, blue, and silver space rocks while exploring, 2/3 of the rocks are purple and 3/4 of the remainder are blue. If there are 3 silver rocks, how many space rocks does Kenzie have?a
Answer:
There were 36 space rocks in total.
Step-by-step explanation:
First, you need to find what fraction of the original rocks are silver.
If 2/3 are purple, then 1/3 of them are not.
If 3/4 of the remaining 1/3 are blue, then 3/4 x 1/3 = 3/12 rocks are blue.
2/3 of the rock are purple, 3/12 of them are blue, and the remaining is silver.
So, you need to do 2/3 - 3/12, then find common denominators so, 8/12 - 3/12 which = 1/12.
This means 1/12 of the rocks are silver. If there are silver rocks, you need to find a suitable equation that needs to be solved.
So:
1/12r = 3
r = 36 silver rocks
There were 36 space rocks in total.
hope this helps :)