A philanthropic organization helped a town in Africa dig several wells to gain access to clean water. Before the wells were in place, an average of 120 infants contracted typhoid each month. After the wells were installed, the philanthropic organization surveyed for nine months and found an average of 90 infants contracted typhoid per month. Assume that the population standard deviation is 40 and the number of infants that contract typhoid is normally distributed. Specify the null and alternative hypotheses to determine whether the average number of infants that contract typhoid has decreased because the wells were put in place.

Answers

Answer 1

Answer:

H0 : μ = 120

H1 : μ < 120

We Can conclude that the number of infants that contract typhoid has reduced because the wells were put in place.

Step-by-step explanation:

Average Number of infants who contracted typhoid monthly = 120

Average Number of infants who contracted typhoid monthly after well installation = 90

The null and alternative hypothesis :

H0 : μ = 120

H1 : μ < 120

Obtain the test statistic :

(Xbar - μ) ÷ s/sqrt(n)

(90 - 120) ÷ 40/sqrt(9)

-30 ÷ 13.3333

= - 2.25

The Pvalue at 95% confidence, df = n-1 = 9 - 1 = 8

Tcritical at 95%, df = 8 ; one tailed = 0.02728

Decision region :

Pvalue < α ; Reject H0

0.02728 < 0.05 ; Hence, we conclude that there is significant evidence that the average number of infants that contract typhoid has decreased because the wells were put in place.


Related Questions

Help please look at the photo

Answers

C.
//////////////////

Please help I’ll mark you brainliest

Answers

Answer:

The perimeter is 25.

Step-by-step explanation:

Darling, I'm not always accurate but I hope this helps you with math!

The cost of g gallons of gasoline can be modeled by C(g) = 2.25g
How much would it cost to buy 12 gallons of gasoline?

Answers

Answer:

C(g) = 27

Step-by-step explanation:

2.25(12) = 27

You just plug in your g value and solve.

It would cost $27 to buy 12 gallons of gasoline. Substitute the value of g (number of gallons) into the cost function C(g).

In the cost function C(g) = 2.25g, the variable g represents the number of gallons of gasoline we want to buy. We want to find out the cost of buying 12 gallons, so we will replace g with 12 in the equation:

C(12) = 2.25 * 12

Perform the multiplication.

Now, we simply calculate the value of 2.25 * 12:

C(12) = 27

So, the result is 27. It means that it would cost $27 to buy 12 gallons of gasoline using the given cost function C(g) = 2.25g. The cost is calculated by multiplying the number of gallons (12) by the cost per gallon (2.25).

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Please help me immediately... i need help
Tory sold 50 balloons for School Spirit Day. He raised $37.50. He wrote this equation to show how much he charged for each balloon.

= 37.50

What mistake did Tory make in writing his equation? What is a correct equation and its solution?
A. He divided b by 50 instead of by 37.50. A correct equation is = 50. Its solution is $1,875.
B. He divided b by 50 instead of dividing 50 by b. A correct equation is = 37.50. Its solution is $1.33.
C. He divided b by 50 instead of multiplying b by 50.A correct equation is 50b = 37.50. Its solution is $0.75.
D. He divided b by 50 instead of setting up a proportion. A correct equation is = . Its solution is $1,875.

Answers

Answer:

Answer is C $0.75

Step-by-step explanation:

50b = 37.50

divide both sides by 50

50 cancels out b is by itself.

37.50 divide by 50= 0.75

The mistake Tory made is he divided b by 50 instead of multiplying b by 50. A correct equation is 50b = 37.50. Its solution is $0.75.

What does division mean?

Division is a mathematical operation that involves the grouping of  a number into equal parts using another number. The sign used to denote division is ÷.

The equation that represents the total amount raised: total balloons sold x cost of one balloon

b x 50 = 37.50

b = 37.50/ 5-

b = $0.75

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Which system of equations is inconsistent?

Answer Choices Listed Below

Answers

Answer:

B

Step-by-step explanation:

just took the test

What is the surface area of the triangular prism?

A triangular prism. The rectangular sides are 3 feet by 6 feet, 3 feet by 7.5 feet, and 3 feet by 4.5 feet. The triangular sides have a base of 6 feet and height of 4.5 feet.

[Not drawn to scale]

54 square feet
67.5 square feet
81 square feet
85.5 square feet

Answers

Answer:

The answer would be 81, or C

Step-by-step explanation:

youre welcome, have a great day :D!!

Answer:

81 or c

Step-by-step explanation:

help pleaseeee , asap

Answers

Answer:

74

Step-by-step explanation:

1. Showing your knowledge in the problem

Well, you know that a straight line is 180 degrees, right? And you know that the angles are 52 degrees and 54 degrees. So, your equation would be set up like this: 52 + 54 + ____ = 180

2. What is 52 + 54?

106

3. Subtract 180 - 106

74

Hope that helps!

Answer:

180 - 52 - 54 = 74

x = 180 - 74 = 106°

y = x + 9
3x + 8y = -5


PLEASE SHOW WORK!!!
Due TODAY!!!!!

Answers

Answer:

x=-45/11

y=10/11

Step-by-step explanation:

y = x + 9   eq 1

3x + 8y = -5   eq 2

Re arranging eq 1

x-y=-9

Now multiply  eq 1 with 8

8x-8y=-40   now call as eq 3

Add eq 2 and 3

3x+8y=-5

8x-8y=-40

11x=-45

x=-45/11

put value of x in eq 2 for y

 3(-45/11)+8y=-5

-135/11+8y=-5

8y=-5+135/11

8y=(-55+135)/11

8y=80/11

y=(80/11)*(1/8)

y=10/11

Check

3*(-45/11)+8*(10/11)=-5

-135/11+80/11=-5

(-135+80)/11=-5

-55/11 =-5

-5=-5

 

A chili recipe calls for ground beef, beans, green pepper, onion, chili powder, crushed tomatoes, salt and pepper. You have lost the directions about the order in which to add the ingredients, so you decide to add them in a random order. What is the probability that the ingredients are added in the exact order listed above?

Answers

Answer:

1 out of 8 chance it will be listed exactly

A container is in a shape of a right circular cylinder standing on its base. If 100 cubic centimeters of water is poured into the container the height of the water is 8 centimeters. What is the height of the water if only 75 cubic centimeters is poured into the container?
A) 2.1 cm
B) 3.8 cm
C) 6.0 cm
D) 6.9 cm
E) 10.7 cm
And why???

Answers

Answer:

Step-by-step explanation:

The shape of the container isn’t changing here, so the height of the water will be proportional to the volume. 75 cm^3 is ¾ of 100 cm^3, so the water will rise ¾ as high.

¾ of 8 cm is 6 cm.

Which of the following is a true statement about ecology?
Ecology is the study of relationships of living organisms and their environment.

Ecology is the study how animals adapt to their environment.

Ecology studies how living organisms have changed over time.

Ecology studies the difference between living organisms.

Answers

Ecology is the study of relationships of living organisms and their environment

Step-by-step explanation:

Ecology in a simple sense is the the study of ecosystems

What’s the correct answer for this?

Answers

Answer:

6

Step-by-step explanation:

The numerator is the number of apples and the denominator the total number of fruit.

There are 6 apples, then numerator = 6

Answer:

if jasmine writes the fraction of fruit that are apples and does not reduce the fraction...

●6/10

100 PTS help all information in pictures below

Answers

Answer:

Question 1: 11%

Question 2: 89%

Question 3: 43%

Question 4: 11%

Step-by-step explanation:

Looking at picture 1, we need to find the crossing point between -1.2 and 0.05. That has 0.1056, which is the same as 10.56%. 10.56% rounds to 11%, so C is our answer.

Picture 2 has the same chart, but we just need to find the inverse, since the inequality sign is flipped. 100 - 10.56 is 89.44%, which rounds to 89%, so D is the answer for Picture 2.

Picture 3 has two tables. 0.73 has 76.73% and -0.41 has 34.09%. Subtract 34.09% from 76.73% to get 42.64% That rounds to 43%, so A is the answer.

Picture 4 essentially has the same expression as Picture 2 (only the sign has switched): P(z ≥ 1.25). The meeting point is 89.44%. Now, subtract that from 100 to get 10.56%, which rounds to 11%. C is our answer for Picture 4.

I hope this helps you! ^w^

Answer:

Question 1: 11% , Question 2: 89%, Question 3: 43%, Question 4: 11%.

Step-by-step explanation:

The First person's answer is correct. Have a great summer.

plz help no links or you will get reported and no brainlest meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

49

Step-by-step explanation: no idea i just evaluated like that

Answer:

49

Step-by-step explanation:

Alrighty, PEMDAS, lets get started:

9 + 3(10 ÷ 2) + 5²

So we start with the parenthesis:

10 ÷ 2 = 5

Now we do the exponent:

5² = 25

So we now have:

9 + 3 x 5 + 25

we do multiplication first:

3 x 5 = 15

so we have:

9 + 15 + 25 = 49

So 9 + 3(10 ÷ 2) + 5² = 49

hope this helps:)

Help me with the work please if you can

Answers

Answer:

D, 525

Step-by-step explanation:

1) Find what percent 45 is out of 150

45/150 x 100/100 = 4,500/15,000 = 30/100 = 30%

2) Find 30% of 1,750

1,750 x 0.3 = 525

Answer= D

HELPPPPP plssssssssss

Answers

do you even put attention in class or the teacher not showing shi but alright the answer is x=0

the answer is x=0 this was really easy but I understand it’s kinda hard at the same time! hope the answer is right

Jack has a bag of coins. The bag
contains 8 dimes, 4 nickels, 3
pennies, and 1 quarter. He will
randomly select 2 coins from the bag
at one time without replacement
What is the probability that Jack will
select 2 dimes?

a. 15/23
b. 7/30
c. 5/9
d. 1/2

Answers

Answer:

i think 1 half sorry if i am wrong

Step-by-step explanation:

how do nurses utilize a quadratic equation and example

Answers

Answer:

Nurses use the quadratic equation for calculating the dosage of the patients, calculating drip rates, conversion between the systems, drug titration, and more.

Step-by-step explanation:

Nurses with an order to "give 750 mg every 4 hours as needed for pain" may receive 250 mg tablets from the pharmacy, requiring them to calculate the number of pills to administer. They also need to calculate the amount of medicine to give when drawing up liquid medicine for injection. In order to give 7.5 mg must be compared to the vial, which states, "5 mg per cc." Some medication orders require the nurse to calculate the dosage based on the patient's weight.

Quadratic equations are applicable in nursing particularly in the aspect of drug and dosage administration.

Dosage of drugs or other medications usually have units of measurement which are to be administered with respect to factors such as time and weight of the patient.

Therefore, the required dosage which will be administered with respect to time and weight can be expressed as a quadratic function.

A scenario whereby, a nurse is supposed to administer 20 mg of medication to 5 patients weighing 20 pounds above a certain weight. The stipulated weight can be calculated using a quadratic equation.

Therefore, quadratic equations are applicable in nursing particularly in dosage administration.

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Use the fundamental counting principle to determine all the possible outcomes from rolling a die once then spinning the spinner.

Answers

The answer is there are 6 possible outcomes: {1, 2, 3, 4, 5, 6} Hope this helps!

21 and 22 are complementary angles. The measure of Z1 is 60°. The
measure of 22 is 5(x - 1)º. Find the value of x.

Answers

Answer:

The value of x is 7

Step-by-step explanation:

Complementary angles have a sum of 90°, therefore the equation to solve for x is:

∠1+∠2=90°

60°+5(x-1)°=90°

5(x-1)=30°

x-1=6

x=7

So the value of x is 7

5
Which of the following is the result of expanding 22"-2,
n=1
O 8.5
O 15.5
O 32
60

Answers

Answer:

[tex]\sum\limits^5_{n=1} {2^{n-2}} = 15.5[/tex]

Step-by-step explanation:

Given

[tex]\sum\limits^5_{n=1} {2^{n-2}[/tex]

Required

The result

To do this, we simply substitute 1 to 5 for n.

So, we have:

[tex]\sum\limits^5_{n=1} {2^{n-2}} = 2^{1-2} + 2^{2-2} + 2^{3-2} + 2^{4-2} + 2^{5-2}[/tex]

[tex]\sum\limits^5_{n=1} {2^{n-2}} = 2^{-1} + 2^{0} + 2^{1} + 2^{2} + 2^{3}[/tex]

Evaluate each exponent

[tex]\sum\limits^5_{n=1} {2^{n-2}} = 0.5 + 1 + 2 + 4 +8[/tex]

[tex]\sum\limits^5_{n=1} {2^{n-2}} = 15.5[/tex]

Answer:

Answer is B edg2021

soknasoiegspeoigapoiegaoig

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points....

Answers

Answer:

D

Step-by-step explanation:

1/12 X 110 = .0833333333 x 110 = 9.16

D. 9

Step-by-step explanation:

110÷12 = 9.1 however just round down to 9

since there are 12 equal pieces of the pie graph you would also count yellow and not exclude it

What is the area of the shaded region below?
7 m
30 m
7 m
21 m

Answers

Answer:

322.28

A

Step-by-step explanation:

Area of the rectangle

L = 30

W = 21

Area = 30 * 21

Area = 630

Area of the circles

Radius = 7 m

Area = pi r^2

Area = 3.14 * 7^2

Area = 153.86 m^2

Area of both circles = 307.72

Area of the Shaded Region

Area of shaded region = area of the rectangle - area of 2 circles.

Area of Shaded Region = 630 - 307.72

Area of Shaded Region = 322.28

please help I will give brainlist!!​

Answers

Answer:

Step-by-step explanation:

ax+d>o

that ax+d is greater than o

pls mark me branliest

In circle A measure of arc BD-56' and BC is a diameter. Which statements are correct?

Answers

The answer is quiet clear I done he snaisknsnridnd

Answer:

90 degrees and 80 degrees

Janice has final exams in Algebra 1 and Biology on Friday. She has up to 12 hours to study for the
exams and her mom said she must spend more time on Algebra (a) than Biology (b). Which of the
following constraints can be used to represent this situation?

Answers

A>B

A+B=12

This would work

Answer:

5555

Step-by-step explanation:

Find the value of g(5) if g(x) = {-2x

Answers

Answer:

-10

Step-by-step explanation:

g(5) for g(x)= -2x

we put 5 to x

g(5) =  -2.5

       =-10


Which is closest to the length of AB?
A. 3.5 in.
B. 2.9 in.
C. 2.4 in.
D 1.4 in

Answers

Answer:

gohdsyuufdyiikkjhfddyiooufddtuiokhfd

Is urgent please ,The purpose of an initial public offering (IPO) is to do what?
A. Break into a monopoly market
B. Comply with government regulations
C. Raise money
D. Get unlimited liability
SUBMIT

Answers

Answer:

C

Step-by-step explanation:

The primary objective of an IPO is to raise capital for a business. It can also come with other advantages. The company gets access to investment from the entire investing public to raise capital.

The purpose of an initial public offering (IPO) is to raise money. It could potentially have other benefits, hence option C is correct.

The corporation can raise money by accepting investments from the whole investing public. An IPO's main goal is to help businesses raise finance.

An initial public offering (IPO) is the process of selling new shares of a private company to the public. To hold an IPO, businesses must satisfy Securities and Exchange Commission (SEC) and exchange standards.

Company insiders may use an IPO to diversify their holdings or generate liquidity by selling all or a portion of their private shares as part of the public offering.

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A circle has a radius of 5 centimeters. What is its area?

Answers

Answer:

[tex] \bf \huge 78.5 \: c.m.[/tex]

Step-by-step explanation:

Given that :

A circle has a radius of 5 centimeters.

to find :

What is its area?

formulas used :

A = πr²

where,

A = areaπ = 22/7 r = radius

explanation :

finding the area of circle

⟼ A = πr²

⟼ A = 22/7 × 5²

⟼ A = 22/7 × 5 × 5

⟼ A = 3•14 × 5 × 5

⟼ A = 3•14 × 25

⟼ A = 78•5

the area of circle is 78•5 centimeters

the area is 78.5 cm because the formula is A=3.14r^2 or area=3.14•5^2
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