Answer:
The null hypothesis is [tex]H_0: p = 0.2[/tex]
The alternate hypothesis is [tex]H_a: p < 0.2[/tex]
The p-value of the test is 0.1056 > 0.05, which means that there is not evidence of decline in participation after age 40 using α = 0.05.
Step-by-step explanation:
20% of American adults participate in fitness activities at least twice a week. Test if there is evidence of a decline in participation after age 40.
At the null hypothesis, we test that the proportion is of 0.2, so:
[tex]H_0: p = 0.2[/tex]
At the alternate hypothesis, we test if the proportion is less than 0.2, indicating a decline. So
[tex]H_a: p < 0.2[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
20% is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8}[/tex]
A random sample of 100 adults over 40 years old found 15 who exercised at least twice a week.
This means that [tex]n = 100, X = \frac{15}{100} = 0.15[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.15 - 0.2}{\frac{\sqrt{0.2*0.8}}{\sqrt{100}}}[/tex]
[tex]z = -1.25[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.
Looking at the z-table, z = -1.25 has a pvalue of 0.1056.
The p-value of the test is 0.1056 > 0.05, which means that there is not evidence of decline in participation after age 40 using α = 0.05.
HELP!
Will give branliest!
Answer:
Try 1/6, if not then search up Fraction Calculator it should be Calculator.net
Indicate whether each statement about linear functions A and B shown below is true or false by checking the appropriate box in the table.
TRUE OR FALSE
The rates of change for both Function A and B are positive.
TRUE OR FALSE
The rate of change for Function A is 3 times the rate of change for Function B
TRUE OR FALSE
The y-intercepts for both Function A and Function B are positive.
Answer: The rates of change for both function A and function B are positive : TRUE
The rates of change for functions A is 3 times the rate of change for function B : FALSE
The y - intercepts for both Function A and Function B are positive : FALSE
Step-by-step explanation:
PLEASE PLEASE HELP ME!!! Carla rode her bicycle 4 miles to the park and it took her 30 minutes.
What was her speed in miles per hour?
A.8 mi/h
B.2 mi/h
C.120 mi/h
D.7.5 mi/h
Answer:
30 mins = 0.5 hours
4.5 miles/0.5 hours = your answer
Step-by-step explanation:
Answer:
speed = distance
time
speed = 4
30
speed = 7.5
x and y are two integers and x ≠ 0. Which of the following is not a rational number? a) z b) y c)x/y d) y/x
Answer: Choice A) z
==========================================================
Explanation:
x and y are two integers, with x being nonzero
This means x/y is rational as long as y is nonzero as well. If y = 0, then we have a division by zero error. Try something like 1/0 on your calculator and you'll find it doesn't work.
Similarly, y/x is rational as well. Any rational number is simply dividing two integers as a fraction like this. Other examples include stuff like 1/2, 4/5, 8/17, and so on.
Since y is an integer, this means we can write it like this: y = y/1. This shows any integer is also rational, but not the other way around. A fraction like 2/3 is rational but not an integer.
All of what was discussed above indicates that choices B, C and D can be ruled out. The only thing left is choice A. The variable z isn't defined, so it's not clear what it is exactly. But it's likely the answer as it's the only thing left after the eliminations.
A Carpenter was told to make
a rectangular desk with top
dimension of 50cm by40cm.
The Carperter altually made
the desk 60cm by 35cm.
Callulate the percentage
error in (a) the length and
b) the breath (1) the product
of the two enors (2) area of
the table top.
Answer:
a. Percent error = 12.5%
b. Percent error = 20%
c. Product = 250
d. Area of rectangle = 200 cm²
Step-by-step explanation:
Given the following data;
Actual length = 40cm
Experimental length = 35cm
Actual breadth = 50cm
Experimental breadth = 60cm
To find the following values;
a. Percentage error in length;
Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.
Mathematically, it is given by this expression;
[tex] Percent \; error = \frac {experimental \;value - actual \; value}{ actual \;value} *100[/tex]
Substituting into the formula, we have;
[tex] Percent \; error = \frac {35 - 40}{40} *100[/tex]
[tex] Percent \; error = \frac {5}{40} *100[/tex]
[tex] Percent \; error = 0.125 *100[/tex]
Percent error = 12.5%
b. Percentage error in breadth;
[tex] Percent \; error = \frac {60 - 50}{50} *100[/tex]
[tex] Percent \; error = \frac {10}{50} *100[/tex]
[tex] Percent \; error = 0.2 *100[/tex]
Percent error = 20%
c. Product of the error;
Product = 12.5 * 20
Product = 250
d. Area of the table top;
Dimensions = 50 * 40 cm
Area of rectangle = length * breadth
Area of rectangle = 40 * 50
Area of rectangle = 200 cm²
Q: using the Substitution Method, and the value ory in
Using the Substitution Method, find the value of y in
the below system of equations?
-2y = 44 – 4
7x = -4y + 10
Answer:
Step-by-step explanation:
To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side
[tex]44 - 4 = -2y ----equation 1[/tex]
[tex]10 = 7x + 4y --- equation 2[/tex]
We can simply evaluate equation 1 to have
[tex]40 = -2y\\y = 40/-2 = -20\\[/tex]
y = -20
From the first equation alone, we can evaluate the value of y as -20. This is because only one unknown is present in equation one, hence a single equation is sufficient enough to evaluate it. If to unknowns were present, the two equations would have been utilized to evaluate the solution.
20 POINTS!!!!!!!!!! what are two numbers that multiply to equal -13 but add to equal +7
Answer:
x = -1.525
y = 8.525
Step-by-step explanation:
xy = -13
x + y = 7
we can let 'y' equal 7-x and use substitution
x(7-x) = -13
7x - x² + 13 = 0
divide through by negative one to get a positive x²
x² - 7x - 13 = 0
use the quadratic formula to get:
x = -1.525
y = 8.525
j need help w number 4 algebra to have to show all work
Answer:
[tex]\sqrt[3]{\frac{-729}{216} } = \sqrt[3]{\frac{9*9*9*}{6*6*6} } = (\frac{9^3}{6^3})^{\frac{1}{3} } = \frac{9}{6} = \frac{3}{2}[/tex]
option a
The lengths of text messages are normally distributed with a population standard deviation of 4 characters and an unknown population mean. If a random sample of 26 text messages is taken and results in a sample mean of 28 characters, find a 98% confidence interval for the population mean. Round your answers to two decimal places. z0.10 z0.05 z0.04 z0.025 z0.01 z0.005 1.282 1.645 1.751 1.960 2.326 2.576
Answer:
The answer is "[tex](25.32, 30.68)[/tex]"
Step-by-step explanation:
Given:
[tex]\bar x = 28\\\\ \sigma = 4\\\\n =26\\\\[/tex]
When [tex]98\%[/tex] confidence level so, the z:
[tex]\alpha = 1 - 98\% = 1 - 0.98 = 0.2\\\\\frac{\alpha}{2} =\frac{0.02}{2} = 0.01\\\\Z_{\frac{\alpha}{2}} = Z_{0.01} = 1.645\ \ \ ( Using \ z \ table )\\\\[/tex]
[tex]E = Z_{\frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]
[tex]= 1.645 \times (\frac{4}{\sqrt{26}})\\\\=2.68[/tex]
When 98% confidence interval estimate of the population mean is,
[tex]\bar x - E < \mu < \bar x + E\\\\28 - 2.68 < \mu < 28 + 2.68\\\\25.32 < \mu < 30.68\\\\(25.32, 30.68)\\\\[/tex]
In the figure, side AB is given by the expression 1 + 3, and side BC is 21 – 4.
The simplified expression for the area of rectangle ABCD is
Answer:
[tex]\text{Area}=\frac{15(x+1)}{2(x-2)}[/tex]
Step-by-step explanation:
Length of the rectangle given in the picture = [tex]\frac{5x+5}{x+3}[/tex]
Width of the rectangle = [tex]\frac{3x+9}{2x-4}[/tex]
Area of the rectangle = Length × Width
= [tex]\frac{5x+5}{x+3}\times \frac{3x+9}{2x-4}[/tex]
= [tex]\frac{5(x+1)}{x+3}\times \frac{3(x+3)}{2(x-2)}[/tex]
= [tex]\frac{15(x+1)(x+3)}{2(x+3)(x-2)}[/tex]
= [tex]\frac{15(x+1)}{2(x-2)}[/tex]
Therefore, area of the given rectangle is [tex]\frac{15(x+1)}{2(x-2)}[/tex].
Solve the triangle. Round decimal answers to the nearest tenth.
Answer:
51
Step-by-step explanation:
need some help on this
Answer:
G
Step-by-step explanation:
From the box plots given, the options that seem very much on support of the information given in the box plot is option G.
Median number in a box plot is the number at the point where the vertical line divides the box.
The median for Thin Crust is about 55 while the median for Thick Crust is above 55.
Therefore we can conclude that:
"The median number of orders for thick crust pizzas is larger than the median median number of orders for thin crust".
What is the slope of the line connecting the points (2, 1) and (4, 5)?
Answer:
2
use y2 - y1 / x2 - x1
5 - 1 / 4 - 2 = 4/2 = 2
Answer:
[tex]2[/tex]
Step-by-step explanation:
1. Find the difference between the two y values. 5 − 1 = 4
This is usually called the "rise" of the line.
2. Find the difference between the two x values. 4 − 2 = 2
This is usually called the "run" of the line.
3. Divide the rise buy the run: [tex]\frac{rise}{run} = slope \frac{4}{2} = 2[/tex]
A swimming pool is in the shape of this prism. A cubic foot of water is about 7.5 gallons. How many gallons of water can the pool hold? If a pump is able to pump water into the pool at a rate of 15 gallons per minute, how long will it take to fill the pool?
Answer:
48,000
Step-by-step explanation:
SOLUTION: Each cubic foot holds 7.5 gallons of water. So, the amount of water required to fill the pool is 6400(7.5) = 48,000.
[15 points !] What is the factored form of x²y3 – 2y3 – 2x2 + 4?
Answer:
D
Step-by-step explanation:
Have a Nice Day
Answer:
(x^2 - 2)(y^3 - 2)
Step-by-step explanation:
I got it right on Iready
Choose 1 answer
A 4/9 of 3/4
B 4/12 of 5/12
C 1/3 of 9/12
Please help asap.......
Answer:
it's d
Step-by-step explanation:
One half of 4
Plz help I need help
an integer smaller than -5 but greater than -8
Answer:
so what is the question?
what is 3/4 of 4/5=
Answer:
answer: 15/16 Hope this helps!
10. Jackie
pupp
How
dog v
7. Juan is baking muffins for the school
bake sale. He needs 1 cups of flour to
make a batch of blueberry muffins. He
needs 2 cups of flour to make a batch
of banana muffins. How much flour
does Juan need to make both batches
of muffins?
A 4.cups
a pup
A4
B 47
с
4
B 4
cups
D 13
3 cups
34 cups
D
11. Ariana
park.
Answer:
your answer choices don't make sense
Which equation represents the following table?
Answer:
y = 2x+4
Step-by-step explanation:
When we substitute the value of x in y =2x+4. The output of function is exactly like in the table shown.
x = 1 —> y = 2(1)+4 = 6
x = 3 —> y = 2(3)+4 = 10
x = 5 —> y = 2(5)+4 = 14
x = 7 —> y = 2(7)+4 = 18
x = 9 —> y = 2(9)+4 = 22
Since the output is exactly like in the table. Therefore, y = 2x+4 represents the following table.
write 5/3 as a mixed number
Answer: 1 2/3
Step-by-step explanation:
Answer:
1 2/3
Step-by-step explanation:
3/3 is = 1
2/3 = 2/3
5/3 = 1 + 2/3
5/3 = 1 2/3
Hope this helps!
can someone help me find the measure of the angle indicated in bold please
9514 1404 393
Answer:
A) 105°
Step-by-step explanation:
The two marked angles are alternate interior angles, so are congruent.
8x +17 = 9x +6
11 = x
8x +17 = 8(11) +17 = 88 +17 = 105 . . . . degrees
The bolded angle is 105°.
Answer:
105 degrees
Step-by-step explanation:
Here ,
8x+17=9x+6(being alternate angles )
17-6=9x-8x
11= x
Again,
8x-17=8×11+17
Therefore 8x-17=105 degrees
1. Based on the information given, what is the Worthington Family's net worth? Will they qualify for the loan?
1
Net worth:
Will they qualify for the loan? (yes or no)
Question Completion:
The Worthington family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. They also have liabilities totaling $108,000. They need a loan from the bank and to qualify for the loan, they must have a net worth of $100,000. They will incur additional $7,000 in liabilities.
Answer:
1. The Worthington Family's net worth is:
= $79,000.
2. No. They will not qualify for the loan, as their net worth fell short of the requirement by $21,000.
Step-by-step explanation:
a) Data and Calculations:
Worthington Family's net worth:
Liquid assets = $10,000
Use assets = 150,000
Investment assets = 34,000
Total assets = $194,000
Liabilities = 115,000
Net worth = $79,000
Required net worth = $100,000
Shortfall in net worth = $21,000
b) The Worthington Family's net worth is the difference between their assets (the things that they own) and their liabilities (the things that they owe others). It is an important financial metric for calibrating the family's financial health. Computing it provides a useful snapshot of the family's current financial position. Financial institutions and other potential creditors use it to gauge if they might extend some credit facilities to the Worthington family.
i don’t know if it’s B or C what do you guys think?
Answer:
I think it is D.
Step-by-step explanation:
It is a guess, but I am not fully sure.
If correct, may I have a brainliest?
XxRoadToAcexX
Answer:
D) 17.51
Step-by-step explanation:
D) 17.51
A line passes through the two glven points. Is it vertical, horizontal,or neither?
(-1, -1), (-2, -1)
Vertical
Horizontal
Neither
Answer:
horizontal
Step-by-step explanation:
Angel signed up for a streaming music service that costs $11 per month. The service allows Angel to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.50 per song. How much total money would Angel have to pay in a month in which he downloaded 25 songs? How much would he have to pay if he downloaded ss songs?
Answer: $23.5
Step-by-step explanation:
0.5(x) + 11
0.5(25) + 11
$23.5
a²b² + 2ab (a²+1) +a^2-b^2-1
Exponentiation is not clear
If so Exponentiation
a²b²+2ab(a²+1)+a²-b²-1
this answer
a²b²+2a³b-b²+2ab+a²-1
As for if so Exponentiation
[tex]a²b²+2ab(a²+1)+a² - b {}^{2 - 1} [/tex]
this answer
a²b²+2a³b+2ab+a²-b
Neesha uploaded a funny video of her dog onto a website. The relationship between the elapsed
time, d, in days, since the video was first uploaded, and the total number of views V (d), that the
video received is modeled by the function V (d) = 31.5d.
How many views will the video receive after 5 days? Round your answer to the nearest whole
number.
Answer:
the answer is 2
Step-by-step explanation: