Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.11[/tex]
The sample size is n = 1640
The number found to be living with at least one grandparent is [tex]k = 225[/tex]
The level of significance is [tex]\alpha = 0.02[/tex]
The null hypothesis is [tex]H_o : p = 0.11[/tex]
The alternative hypothesis is [tex]H_a : p > 0.11[/tex]
Generally the sample proportion is mathematically represented as
[tex]\^ p = \frac{ k }{n}[/tex]
=> [tex]\^ p = \frac{ 225 }{1640 }[/tex]
=> [tex]\^ p = 0.1372[/tex]
Generally the test statistics is mathematically represented as
[tex]z= \frac{\^ p - p }{ \sqrt{\frac{p(1- p)}{n} } }[/tex]
=>[tex]z = \frac{ 0.1372 - 0.11 }{ \sqrt{\frac{0.11(1- 0.11)}{1640} } }[/tex]
=>[tex]z = 0.0077[/tex]
From the z table the area under the normal curve to the left corresponding to 0.0077 is
[tex]p-value = P(Z > 0.0077) = 0.4969[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
Raju bought a book for Rs.35.65. He gave Rs.50 to the shopkeeper. How much money did he get back from the shopkeeper?
I Hope this helps u out
giving 30 points &’ brainliest to whoever can help w there two questions!!
Answer:
binomial and not a polynomial
Factor -6 out of 18z - 15
In mathematics, a factor is an integer or algebraic expression which divides another number or expression evenly, giving no remainder, and the further calculation can be defined as follows:
Given:
[tex]\bold{-6\ out \ of (18z - 15)}\\\\[/tex]
To find:
Factor=?
Solution:
[tex]\to \bold{-6\ out \ of (18z - 15)}\\\\\to \bold{-6\times \frac{(18z - 15)}{-6}}\\\\\to \bold{-6\ (-3z + \frac{5}{2})}}\\\\[/tex]
Therefore, the final answer is "[tex]\bold{-6\ (-3z + \frac{5}{2})}}[/tex]".
Learn more:
brainly.com/question/19310237
Which is equivalent to 5+2(3x-4)=12x-11?
C. 9x=17
B. 6x=8
D. 9x=-39
find the value of x
help
Answer:
6.7
Step-by-step explanation:
This is trigonometry. We will have to find the opposite leg and the hypotenuse is given to us as 10. So we will have to use sin.
Soh in Soh cah toa
So sin(42)=x/10
10 times sin(42)=x
Evaluate using a calculator=6.69130606 and so on
Rounded to the nearest tenth is 6.7
So the answer is 6.7
What is the slope of the line through
(
−
5
,
−
10
)
(−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and
(
−
1
,
5
)
(−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?
tysm
Answer: y=15/4x+35/4
Step-by-step explanation:
Write an expression to model the following situation: A submarine was 32 m below sea level. It descended 28 more meters.
What is its new position below sea level?
32 + 28
32 – 28
–32 + 28
–32 – 28
I need help solving these!!!!
Answer:
4. y = -1/2x + 5
5. y = -1/3x + 3
6. y = 1
Step-by-step explanation:
For #4:
Because these lines are parallel, we know that they will have the same slope.
To get b, or the y-intercept, I just started at the point (4,4) and used the slope to work backwards to the y-axis. This is really not the best way to do it (especially with big numbers) but it works in a pinch. Also, I forgot the better way :/
For #5:
These lines are perpendicular. That means that the slopes are reciprocals of the other and, when multiplied with each other, the answer will be -1.
The reciprocal of 3 is -1/3.
To get the y-intercept, I did the same as above.
For #6:
x = 2 is a vertical line. To make a line perpendicular to it, that is, to make a line that intersects with it at 90°, the answer line will have to be horizontal.
That means that our answer is y = ?
We know that the line passes through a very specific point (2,1), and the line provided in the question already gives us the x value of this point. All we have to do is set y equal to the y value.
So, y = 1.
I hope this helps!
HELP!!! this is due in 5mins...will give brainliest-
The width and length of a rectangle (in feet) are consecutive odd integers. If the length is increased by 9 feet, the area of the resulting rectangle is 80 square feet. What is the area of the original rectangle?
55
35
25
Answer:
66
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
No explanation bc due in 5 mins
M=3 (-4,-7) PLease include steps!!( I will give brainliest)
Answer:
65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
Find the slope of the line.
Remember that whole numbers that are next to each other, for example, 2 and 3, or 43, 44, and 45 are called consecutive numbers.
If n is the smallest of three consecutive integers, write an expression for the largest number.
Answer:
n +2
Step-by-step explanation:
If three numbers are consecutive, the 2nd number would be one more than the 1st number, and the 3rd number would be one more than the 2nd number.
Since the smallest number is n,
2nd consecutive number= n +1
3rd consecutive number
= n +1 +1
= n +2
Thus, the expression for the largest number is n +2.
Let's check!
If the smallest of the three consecutive number is 1, the 3rd consecutive number would be 3.
3rd consecutive number
= n +2
= 1 +2
= 3 (✓)
Thus, the expression is correct.
Suppose 420 randomly selected people are surveyed to determine whether or not they play sports. The sample proportion for successes is determined to be p′=0.393 and the sample proportion for failures is q′=0.607. What is the 95% confidence interval for the proportion of the population who play sports? z0.10 z0.05 z0.025 z0.01 z0.005 1.282 1.645 1.960 2.326 2.576 Use the table of common z-scores above. Round the final answer to three decimal places.
Answer:
420 funny number
Step-by-step explanation:
What is the equation of this graphed line? Enter your answer in slope-intercept form in the box. please i really need help
Answer:
y = -9/8x+7
Step-by-step explanation:
First Find The Slope: 7--2/0-8=-9/8
Find Y Intercept=7
Than Write Equation: y=-9/8x+7
Samuel left his house at time zero and drove to the store, which is 10 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 7 minutes. From there, he drove in the same direction at a speed of block per minute until he got to the bank, which is 2 blocks away from the store. He stopped at the bank for 3 minutesThen he drove home at a speed of blocks every minuteMake a graph of showing the number of blocks away from home that Samuel is minutes after he leaves his house, until he gets back home.
Answer:
Attachment given answer
Step-by-step explanation:
I gave you the answer but if you have any questions let me know.
what is 2/3 divdided by 1/6
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
PLEASE HELP MEEEE!!!!! Marcos had 15 coins in nickels and quarters total amount of those coins is $2.25. How many quarters and dimes he has?
Answer:
try 15 / 2.25
Step-by-step explanation:
What is J/-12 > 9??
Answer:
j > - 108
Step-by-step explanation:
Step 1:
j / - 12 > 9 Equation
Step 2:
j > 9 × - 12 Multiply - 12 on both sides
Answer:
j > - 108
Hope This Helps :)
Answer:
j<−108
Step-by-step explanation:
j
−12
>9
Step 1: Simplify both sides of the inequality.
−1
12
j>9
Step 2: Multiply both sides by 12/(-1).
(
12
−1
)*(
−1
12
j)>(
12
−1
)*(9)
j<−108
Answer:
j<−108
Over a period of 12 hours the temperature dropped 36°F what was the average change in temperature in one hour?
Answer:
3°F
Step-by-step explanation:
36 divided by 12 is 3
Answer:
3 degrees F
Step-by-step explanation:
36/12 = 3
Simplify
114
11
1
1112
01
114
0 114
0 11 12
10 Lakh More Than 93,23,654
Answer:
10,323,654
Step-by-step explanation:
plsss help 6th grade math
Answer: D
Step-by-step explanation:
If you put -5 and +5 on a number line and count their distance from zero they are both the same distance.
If the area of the rectangle is(xA^3−4x^2−15x+21) and the width is (x-6), what is the length?
Answer:
hmm, imma have to do the problem
Step-by-step explanation:
shasha worked in the garden for 3 hours and 40 minutes. she started at 8:30am. at what time did she stop?
Answer:
Sasha stopped working at 12:10 PM
Step-by-step Explanation
8:30 + 3 hours and 40 minutes = 12:10 PM
Mark as brainliest if it's right!
Answer:
12:10 p.m
Step-by-step explanation:
3 hours from 8:30 is 11:30 a.m.
Now we add 30 minutes to 11:30 and you get 12:00
Add the remaining 10 minutes and you get 12:10 p.m
I hope this helped, please mark Brainliest, thank you!
Read the following statement: Line segment MN is congruent to line segment OP.
Which of the following is an equivalent statement?
a
MN overbar is similar to OP overbar
b
MN overbar equals OP overbar
c
MN overbar is congruent to OP overbar
d
MN overbar is an element of OP overbar
Answer:c
Step-by-step explanation:
Given a function described as equation y = 3x + 4, what is y when x is 1,2, and 3
Answer:
when x=1 y=7, when x=2 y=10, when x=3 y=13
Step-by-step explanation:
Please help.
Solve the System of Equations by Graphing
y=4
3x+4y=4
Answer:
graph below
Step-by-step explanation:
Graph in image below
Please answer this correctly without making mistakes
Answer:
The 2-yard pièce of cotton cloth for $13.26
Step-by-step explanation:
2 yards is 6 feet then it would be $2.21 per foot.
The 17 foot piece would cost $3.29 per foot.
To answer this question, you need to determine which one has a lower price per unit. In this scenario, you must divide the price of the cloths by their length in feet.
For the 2-yard piece of cotton cloth, first convert the length to feet. There are three feet in a yard, so the cloth is 6 feet. Then divide:
13.26/6=2.21
For the 17-foot piece of cotton cloth, simply divide:
55.93/17=3.29
The 2-yard piece of cotton cloth for $13.26 is the better buy because it has a lower unit price.
Hope this helps!!
Select the correct answer.
Identify the end behavior and the zeros of function h.
h(x) = –13 – 9x2 + 41 +96
Based on these key features, which statement is true about the graph representing function h?
A. The graph is negative on the intervals (-00, -8) and (-4, 3).
B. The graph is positive on the intervals (-8, –4) and (3, 0).
C. The graph is positive on the intervals (-0, —8)and (-4, 3).
D. The graph is negative on the intervals (-3, 4) and (8,00).
Answer: C. The graph is positive on the intervals (-∞,-8) and (-4,3)
Step-by-step explanation: I guessed on my test and got it right. PLATO
If a coconut has tree has 12 coconut on it if 25% of the coconuts fell to the ground how many fell
Answer:
It would be three coconuts hope this helped
Step-by-step explanation: