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IceJOKER [234]
3 years ago
14

A zoologist is interested in whether climate affects how high kangaroos can jump. In a random sample of gray kangaroos from an A

ustralian forest, he found the mean jump height was x¯=286 inches with a margin of error of 15 inches.
Mathematics
1 answer:
Alex777 [14]3 years ago
5 0

Complete question :

A zoologist is interested in whether climate affects how high kangaroos can jump. In a random sample of gray kangaroos from an Australian forest, he found the mean jump height was x¯=286 inches with a margin of error of 15 inches.

Construct a confidence interval for the mean jump height of gray kangaroos.

Answer:

(271, 301)

Step-by-step explanation:

Given that:

Mean (x¯) = 286

Margin of Error = 15 inches

The confidence interval :

(Mean - Margin of Error), (mean + margin of error)

(286 - 15), (286 + 15)

(271, 301)

Hence confidence interval equals : (271, 301)

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The original price of a toaster is $18.00. If the toaster is marked down 25%, what is the new price?
Alla [95]

Answer:

$13.50

Step-by-step explanation:

First, we got to multiply $18 by 25% or .25

$18 x .25 = $4.50

Lastly, we just subtract $4.50 from $18.

$18 - $4.50 = $13.50

5 0
3 years ago
5x-4=-3-x so ya can yall help
Ket [755]

Step-by-step explanation:

5x-4=-3-x

5x+x=4+(-3)

6x=1

x=1/6

4 0
3 years ago
Read 2 more answers
How do i solve this problem to this fraction 2/3-1/6
dimulka [17.4K]
Find the common denominator of 3 and 6. which is 6. now just subtact 2 and 1 which is 1. ur answer is 1/6
4 0
3 years ago
Read 2 more answers
2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diver
timofeeve [1]

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

To find the distance, we have to find the values of x when y = 0.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = (x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this problem, we have that:

y = 2x^{2} - 9x - 56

2x^{2} - 9x - 56 = 0

So

a = 2, b = -9, c = -56

Then

\bigtriangleup = b^{2} - 4ac = (-9)^{2} - 4*2(-56) = 529

x_{1} = \frac{-(-9) + \sqrt{529}}{2*2} = 8

x_{2} = \frac{-(-9) - \sqrt{529}}{2*2} = -3.5

It is a horizontal distance, so the answer is a positive value.

The diver will be 8 feet from the end of the board when he hits the water.

7 0
3 years ago
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an
oksano4ka [1.4K]

Answer:

a.) dx3x² + 2

Use the properties of integrals

That's

integral 3x² + integral 2

= 3x^2+1/3 + 2x + c

= 3x³/3 + 2x + c

= x³ + 2x + C

where C is the constant of integration

b.) x³ + 2x

Use the properties of integrals

That's

integral x³ + integral 2x

= x^3+1/4 + 2x^1+1/2

= x⁴/4 + 2x²/2 + c

= x⁴/4 + x² + C

c.) dx6x 5 + 5

Use the properties of integrals

That's

integral 6x^5 + integral 5

= 6x^5+1/6 + 5x

= 6x^6/6 + 5x

= x^6 + 5x + C

d.) x^6 + 5x

integral x^6 + integral 5x

= x^6+1/7 + 5x^1+1/2

= x^7/7 + 5/2x² + C

Hope this helps

8 0
3 years ago
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