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Alika [10]
2 years ago
13

Multiply the number by 4. Add 12 to the product. Divide this sum by 2. Subtract 6 from the quotient. 1st number is 3 and the res

ults 2nd number is 6 and the results 3rd number is 8 and the results 4th number is 12 and the results part A. Write a conjecture that relates the result of the process to the original number selected. Represent the original number as N. What is the result part b Represent the original number as N, use deductive reasoning to prove the conjecture in part (a) multiply the number by 12 and the results add 4 to the product and the results divide the sum by 2 subtract 2 from the quotient
Mathematics
1 answer:
jolli1 [7]2 years ago
6 0

N = original number = 6
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In a random sample 765 adults in the United States, 322 say they could not cover a $400 unexpected expense without borrowing mon
Volgvan

Answer:

a) The population under consideration in the data set is "adults in the United States".

b) The parameter being estimated is the proportion of adults in the U.S. that could not cover a $400 unexpected expense without borrowing money or going into debt.

c) The point estimate for the parameter of the population is p-hat.

d) The standard deviation of the sampling distribution

e)

\hat p=322/765=0.421\\\\s=\sqrt{\frac{\hat p(1-\hat p)}{n} } =\sqrt{\frac{0.421\cdot 0.579}{765} } =\sqrt{0.00032} =0.018

f) Yes, 50% is a value not probable if the estimations are right.

g) No, it does not change.

Step-by-step explanation:

f) We can calculate the plausability of the value 50% with our estimations.

The P-value of a proportion of 50% is very low, so the value should surprise.

z=(x-\hat p)/s=(0.5-0.421)/0.018=0.079/0.018=4.38\\\\P(z>4.38)=0

g) We re-calculate with p=0.4

z=(x-\hat p)/s=(0.5-0.4)/0.018=0.100/0.018=5.55\\\\P(z>5.55)=0

6 0
1 year ago
A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a pro
nikklg [1K]

Answer:

The constraints are as follows;

1) 2·x + 2·y ≤ 120

2) 3·x + 4·y ≤ 160

3) x = 2.30

4) y = 3.10

5) P = 2.3·x + 3.10

Step-by-step explanation:

The question is a word problem, with the analysis as follows;

The profit from the roast beef special per sandwich = $2.30

The profit from the turkey special per sandwich = $3.10

The number of slices of bread in the roast beef special = Two slices

The number of slices of cheese in the roast beef special = Three slices

The number of slices of bread in the turkey special = Two slices

The number of slices of cheese in the turkey special = Four slices

The number of slices of bread the deli has  = 120 slices

The number of slices of cheese the deli has = 160 slices

Let 'x' and represent the number of roast beef special and 'y' represent the number of turkey special the deli makes, then we have the constraints as follows;

For the number of slices of bread used;

2·x + 2·y ≤ 120...(1)

For the number of slices of cheese used;

3·x + 4·y ≤ 160...(2)

x = 2.30

y = 3.10

The profit 'P' is given by the following equation

P = 2.3·x + 3.10.

5 0
1 year ago
The Pacific Ring of Fire is an area where the Pacific Tectonic Plate encounters other tectonic plates. Which types of encounters
zhannawk [14.2K]
A) convergent boundaries
This is where plates collide.
3 0
1 year ago
Triangle OMG has vertices at O(−3,3), M(4,2), and G(−3,1). Point G is rotated 90° counterclockwise around the origin, forming G'
Irina18 [472]

Answer:

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Step-by-step explanation:

Rule: rotation of (x,y) counterclockwise around the origin gives (-y,x)

Thus

O(-3,3) will be O'(-3,-3)

M(4,2) will be M'(-2,4)

G(-3,1) will be G'(-1,-3)

Therefore O'(-3,-3),M'(-2,4) and G'(-1,-3) would be the answer.

3 0
1 year ago
A full container that holds 96 fluid ounces developed a leak in the bottom. After 72 hours, all the liquid had emptied from the
Contact [7]
Answer
this is hard





explanation
sorry i can’t answer i’m bad at math
4 0
1 year ago
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