Answer:
The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis 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:
Proportion of all children in the United States who currently live with at least one grandparent is higher than 11%
This means that the null hypothesis is:
[tex]H_0: p = 0.11[/tex]
And the alternate hypothesis is:
[tex]H_a: p > 0.11[/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.
0.11 is tested at the null hypothesis:
This means that [tex]\mu = 0.11, \sigma = \sqrt{0.11*0.89}[/tex]
Suppose that in a recent sample of 1550 children, 214 were found to be living with at least one grandparent.
This means that:
[tex]n = 1550, X = \frac{214}{1550} = 0.1381[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.1381 - 0.11}{\frac{\sqrt{0.11*0.89}}{\sqrt{1550}}}[/tex]
[tex]z = 3.54[/tex]
Pvalue of the test and decision:
This is the probability of finding a sample proportion above 0.1381, which is 1 subtracted by the pvalue of Z = 3.54.
[tex]z = 3.54[/tex] has a pvalue of 0.9999
1 - 0.9999 = 0.0001
The pvalue of the test is 0.0001 < 0.02, which means that we reject the null hypothesis and accept the alternate hypohteis that the proportion of all children in the United States who currently live with at least one grandparent is higher than 11%.
Paisley is going to invest $28,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Paisley to end up with $74,000?
Answer:
r=7
Step-by-step explanation:
74000=28000(1+r/12)^12(14)
divide 74000 by 28000, and cancel out 28000.
1.00580=1+r/12
(100) .06962=r
r = 6.96198
the 6 after the 9 rounds 9 to 0, which rounds the 6 to 7
r=7
MATH PLEASE HELP
Paul wants to put a fence around his vegetable garden in the backyard. The price of fencing is $1.65 per linear foot. Given a diagram of his vegetable garden below, how much will it cost him for the fencing?
Answer:
total perimeter =14+23+9+11+23-11=69cm×1/30=2.3ft
total cost =perimeter ×rate=2.3×1.65=$3.795
Answer:
The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 6 x 12 ft.
Step-by-step explanation:
hope it help :):):):):):)
Which is equivalent to 5(a + 6)?
1. a+30
2. 5a-30
3. 5a+6
4. 5a+30
Answer: the answer is number four.
Step-by-step explanation:
because when you take five multiply by A (5*a) you will get 5a and when you take five multiply by six (5*6) you will get 30 and there is positive sign so the plus (+) stays the same and your will be (5a+30) that is your answer. good luck.In ABC, the measure of the largest angle is 16 less than 4 times the smallest angle. The measure of the middle angle is 7 more than half the measure of the largest angle. What is the measure of the middle angle?
Answer:
Step-by-step explanation:
Let A ≤ B ≤ C
largest angle is 16 less than 4 times the smallest angle
C = 4A-16
middle angle is 7 more than half the measure of the largest angle
B = C/2 + 7
A+B+C = 180°
A = 28 ⅐°
B = 55 2/7°
C = 96 4/7°
1413 A B 1 1 1 2 1 1 1 Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirements at the least cost
Solution :
It is given that a large institution is preparing food menus which contains foods A as well as B.
Each lunch provides :
10 units of carbohydrates
6 units of fats
7 units of proteins
The food from A cost = $0.12 per ounce
And food from B cost = $0.08 per ounce
Objective function :
[tex]$C= 0.12x+0.08y$[/tex]
Constraints : [tex]$x\geq 0, y \geq 0, x+y \geq 6, 2x+y \geq 10, x+y \leq 7$[/tex]
Domain : [tex]$3 \leq x\leq 7$[/tex]
Range : [tex]$0\leq y\leq4$[/tex]
Match each division expression to its quotient
Answer:
3÷2/3=9/2
2 1/2÷5/2=1
1/3÷3=1/9
6 3/4÷2 1/4=3
A family-run inn has 70 rooms. The inn is considering the use of overbooking, because the frequency of no-shows has left many rooms vacant during the past summer season. Based on the past experience, the number of no-shows is an approximated normal distribution with a mean of 8 and a standard deviation of 2. Assume the cost of over-estimation is $15 and the cost of under-estimation is $30. Use the assumed cost values to find the maximum number of reservations that the inn should take every day. Note that normsinv(0.3333)
Answer:
abajwuvdtrbxt really disjdshkrgegvzgfj
Find 0.198 = 0.18. Write your answer as a decimal.
help.
1. Anvi borrowed $5,000 from a bank at a flat interest rate of 11% per year for a 3-year
period. How much interest does she have to pay the bank at the end of 3 years? (2dp)
Answer:
He will have to pay $1,650 in interest at the end of 3 years.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Anvi borrowed $5,000 from a bank at a flat interest rate of 11% per year for a 3-year period.
This means that [tex]P = 5000, I = 0.11, t = 3[/tex]
How much interest does she have to pay the bank at the end of 3 years?
[tex]E = P*I*t = 5000*0.11*3 = 1650[/tex]
He will have to pay $1,650 in interest at the end of 3 years.
A baker has 6 pounds of sugar. He divides into 3 containers. He then uses 1 container to bake pies.
Step-by-step explanation:
If the question is how much sugar contains pie, then do it like this:
6:3=2
So in one container you have 2 pounds of sugar. And if you use 1 container for a pie you will use : 2 pounds of sugar for pie.
If question is how much sugar does he have after that, it would be:
6-2=4 pounds of sugar or
3-1= 2 containers of sugar
Name the five edges that are not parallel
to AB and do not intersect AB.
A. KM, KD, KP, DP, MD
B. KM, KP, KD, MA, MD
с, MA, BP, DP, KP, BA
D. MK,DK, PK, DP, AM
Factor the expression 35x+15 using the GCF.
Given: ()=5−2. Find: (+2)
Answer: The value of [tex]g(a+2)=5a-8[/tex].
Step-by-step explanation:
We are given that,
[tex]g(x)=5x-2[/tex] ...(i)
To find: [tex]g(a+2)[/tex]
Substitute [tex]x=a+2[/tex] in (i), we get
[tex]g(a+2)=5(a+2)-2\\\\g(a+2)=5a+10-2\\\\g(a+2)=5a+8[/tex]
Therefore, the value of [tex]g(a+2)=5a-8[/tex].
Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000. The Visitor's Bureau of Las Vegas wants to update this percentage. The new study is to use the 90% confidence level. The estimate is to be within 1% of the population proportion. What is the necessary sample size?
Answer:
The necessary sample size is of 5683.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Past surveys reveal the 30% of tourists going to Las Vegas to gamble spend more than $1,000.
This means that [tex]\pi = 0.3[/tex]
The estimate is to be within 1% of the population proportion. What is the necessary sample size?
A sample size of n is necessary. n is found when [tex]M = 0.01[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.01 = 1.645\sqrt{\frac{0.3*0.7}{n}}[/tex]
[tex]0.01\sqrt{n} = 1.645\sqrt{0.3*0.7}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.3*0.7}}{0.01}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645\sqrt{0.3*0.7}}{0.01})^2[/tex]
[tex]n = 5682.6[/tex]
Rounding up:
The necessary sample size is of 5683.
Researchers studied 208 infants whose brains were temporarily deprived of oxygen due to complications at birth. When researchers detected oxygen deprivation, they randomly assigned babies to either usual care or to a whole-body cooling group. The goal was to see whether reducing body temperature for three days after birth increased the rate of survival without brain damage. Match each description on the left with a term on the right. Note - any given term on the right may be used more than once or not at all.
a. Response variable
b. Explanatory variable
c. Subjects of investigation
1. Infants whose brains are temporarily deprived of oxygen [Choose ]
2. Usual care or whole-body cooling ET [Choose]
3. Survival without brain damage [Choose]
Answer:
Infants whose brains are temporarily deprived of oxygen - Subject of investigation
Usual care or whole-body cooling ET - Explanatory variable
Survival without brain damage - Response variable
Step-by-step explanation:
The subject of investigation are the set of participants who are used in a research study. Based on the scenario described above, 208 infants whose brains were temporarily deprived of oxygen as a result of complications at birth were researched. And these sentence gives us the subject of investigation.
The Explanatory variable can also be called the independent variable which are the variables which causes changes behavior or output produced by the response variable. The usual care and whole body cooling are the two independent temperature options subjects are assigned subjected to.
The response variable also called the predicted variable gives the outcome or effect of the the Explanatory variable on the subject of investigation.
Value of C in the triangle
perform the operation and simplify 3x^2/x^2-x-30-3x+5/x-6
Simplify math problems
Answer: basically simplifying is this
Step-by-step explanation:
2x+4x+8x+3y+2y+9y
we can simplify that to 14x+14y by adding like terms.
or
3(2x+4)
this can be simplified to 6x+12 by distributive property (multiply everything in the parenthesis by 3)
which of the following phases are inequalities?
Choose 2
Please help me!
What advice would you give other students about how to solve these percent problems?
My last question for today. I hope you all had some type of enjoyment. I still have some questions up that are unanswered in the math subject so if you’d like to answer them find my name on the math subject and answer them please! You WILL get Brainliest for the correct answer.
As always, have an amazing day/night. :))
Answer:
I would make sure to note keywords in the problem/question such as (percent) off, (percent) tax, etc. These words can determine if the original number will become higher or lower after the percent is applied to the original number. For example, if there is a price for a t-shirt of $15, and there is a tax of 13%, the original price will increase. On the other hand, if there is a sale for pants at the local department store and you are buying a pair of pants that cost $25 with the sale being 10% off, the price will decrease.
can someone help me with this question? thank you very much appreciated.
Answer:
Cannot see the other picture as you just sent one
And the tables will help you and so will this.
Step-by-step explanation:
Look at the value for question of getting an answer right and you have to do a table that looks like this attached
4 games at 2/3 chance for each = 16/27
We look at 1/3 x 1/3 = 11/ 20
we look at 2/3 x 2/3 = 0.444 = 22/50 = 11/25
The other two games are
1/3 x 2/3 = 0.22 + 0.22 = 0.44
0.44 = 11/25
+ 3/20
= 16/27
It wont be as complicated as that. But im sure this will help.
In order to make an A on her project, Sarah needs at least 160 points. She has already turned in part of her work and has been given 125 points so far. write and solve the inequality that models this situation and found out how many points Sarah needs for the last part of her project to get an A
A person at UPS was determining a delivery route on a given map and the person
had to make 7 delivery stops shown on the map at the right.
Which would be most appropriate to create for the delivery?
Answer:
Step-by-step explanation:
12
Based on the components of the given vectors match each vector subtraction with graph of the resulting vector
Answer: graph 1 —> u-v
graph 2—> u-w
graph 3—> w-v
graph 4—> v-u
*Look at both pictures to make sure this is for your specific question
Step-by-step explanation: I got this right on Edmentum
Graph 1 represents the vector u - v, graph 2 represents the vector u - w, graph 3 represents the vector w - v, and graph 4 represents the vector v - u.
What a is vector?It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have vectors u, v, and w given in the picture:
u = <-2, -7>
v = <3, -4>
w = <5, 1>
= u - v
= <-2, -7> - <3, -4>
= <-5, -3>
= u - w
= <-2, -7> - <5, 1>
= <-7, -8>
= w - v
= <5, 1> - <3, -4>
= <2, 5>
= v - u
= <3, -4> - <-2, -7>
= <5, 3>
Thus, graph 1 represents the vector u - v, graph 2 represents the vector u - w, graph 3 represents the vector w - v, and graph 4 represents the vector v - u.
Learn more about the vector here:
brainly.com/question/8607618
#SPJ2
The radius of a cylindrical construction pipe is 1.5 ft. If the pipe is 15 ft long whats the volume
Answer:
Step-by-step explanation:
r = 1.5 ft
h = 15 ft
π = 3.14
Volume = πr²h
= 3.14 * 1.5 *1.5 *15
= 1.5.975 cubic feet
The radius of a cylindrical construction pipe is 1.5 ft. If the pipe is 15 ft long, what's the volume ?
Answer:-Given:-[tex] \bullet [/tex] Radius (r) of a cylindrical construction pipe is 1.5 ft.
[tex] \bullet [/tex] Height (h) of a cylindrical construction pipe is 15 ft.
To Find:-Volume of a cylindrical construction pipe.
Solution:-We know,
Formula of Volume of cylinder is πr²h.
So, Volume = 3.14 × (1.5)² × 15
Volume = 3.14 × 1.5 × 1.5 × 15
Volume = 105.975 cubic ft.
The volume of a cylindrical construction pipe is 105.975 cubic ft. [Answer]Question 2 of 10
Which equation matches the graph shown?
O A.y-5= -2(x – 3)?
OB. y-3= }(x+3)?
O c. y+5 = {(x – 3)?
O D. y+3=-{(x – 3)?
Answer:
a
Step-by-step explanation:
GIVING BRAINLIEST PLS HELP
(x + 3)^2 – 3 = 0
lesser x =
greater x=
1/2-5/6 can someone help me
Exact Form:
-1/3
Decimal Form:
-0.3 (with a line over the 3)
Answer:
-1/3
Step-by-step explanation:
answer is -1/3
Which set of vertices forms a parallelogram?
A. A(2,4), B(3,3), C((6,4), D(5,6).
B. A(-1,1), B(2,2), C(5,1), D(4,1)
C. A(-5,-2), B(-3,3), C(3,5), D(1,0)
D. A(-1,2), B(1,3), C(5,3), D(1,1)
Answer:
A(-5, -2), B(-3, 3), C(3, 5), D(1, 0) is the answer.
Step-by-step explanation:
Solve. Will give brain thing
Answer:
Step-by-step explanation:
-1/2 + (3/4 x 4/9)
-1/2 + (3/9)
= - 1/2 + (1/3)
= - 1/6