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Pie
3 years ago
15

WILL GIVE BRAINLIEST + 5 STAR x= Length= Width=

Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0

Answer:

16

14

8

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
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An urn contains ten chips. An unknown number of chips are white' the others are red. We wish to test:
Olin [163]

Answer:

Let’s denote X to be the number of white chips in the sample and E be the event that exactly half of the chips  are white. Then,

a) Find α

α = P (reject H0 | H0 is true) = P (X ≥ 2|E)  

  = P (X = 2|E) + P (X = 3|E),    

We took two case, as we can draw only only three chips with two or more white to reject H0, it means we can only take 2 white chips or 3, not more, we get solution

  =  (5C2 * 5C1)/10C3  +  (5C3 * 5C0)/10C3

  =  0.5

So,  α = 0.5

b) Find β

i) Let E1 be the event that the urn contains 6 white and 4 red chips. (As given)

β = P (accept H0 | E1) = P (X ≤ 1|E1)

  =  (6C0 * 4C3)/10C3  +  (6C1 * 4C2)/10C3

 = 1/3

 = 0.333

So, β = 0.333

i) Let E2 be the event that the urn contains 7 white and 3 red chips. (As given)

β = P (accept H0 | E2) = P (X ≤ 1|E2)

  =  (7C0 * 3C3)/10C3  +  (7C1 * 3C2)/10C3

 = 11/60

 = 0.183

So, β = 0.183

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4 years ago
What is an equation in point-slope form for the line that passes through the points (-1, 4) and (3, -4)
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Here you go I hope this helps!! :)

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3 years ago
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Question 9
Angelina_Jolie [31]

The first car consumed 40 gallons of gas and second car consumed 30 gallons of gas

<em><u>Solution:</u></em>

Let x = gallons consumed by car 1

Let y = gallons consumed by car 2

Fuel efficiency of car 1 = 15 miles per gallon

Distance covered in 1 gallon of gas = 15 miles

Fuel efficiency of car 2 = 25 miles per gallon

Distance covered in 1 gallon of gas = 25 miles

<em><u>Given a total gas consumption of 70 gallons</u></em>

Therefore,

gallons consumed by car 1  + gallons consumed by car 2 = 70

x + y = 70 ------ eqn 1

<em><u>The two cars went a combined total of 1350 miles</u></em>

Therefore,

gallons consumed by car 1  x distance covered in 1 gallon of gas of car 1 + gallons consumed by car 2 x distance covered in 1 gallon of gas of car 2 = 1350

x \times 15 + y \times 25 = 1350

15x + 25y = 1350 ----- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

x = 70 - y ------- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

15(70 - y) + 25y = 1350

1050 - 15y + 25y = 1350

10y = 1350 - 1050

10y = 300

y = 30

<em><u>Substitute y = 30 in eqn 3</u></em>

x = 70 - 30

x = 40

Thus first car consumed 40 gallons of gas and second car consumed 30 gallons of gas

4 0
4 years ago
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