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galina1969 [7]
3 years ago
15

Which power has a greater value? -3^2 or 2^3

Mathematics
1 answer:
sweet [91]3 years ago
4 0

-3^2 = 9

2^3 = 8

-3^2 has a greater value.

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An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 110 engines
slava [35]

Answer:

we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7 psi

Step-by-step explanation:

Let's first define the hypothesis;

Null hypothesis: H0: μ = 4.7

Alternative hypothesis: Ha: μ ≠ 4.7

We have;

Sample size; n = 110

Sample mean; x¯ = 4.6

Variance: σ² = 0.64

Standard deviation; σ = √0.64 = 0.8

Formula for test statistic is;

z = (x¯ - μ)/(σ/√n)

z = (4.6 - 4.7)/(0.8/√110)

z = -0.1/0.0763

z = -1.31

From online p-value from z-score calculator attached, using; z = -1.31, two tailed hypothesis, significance value of 0.1, we have;

P-value = 0.190196

The p-value is greater than the significance value and thus we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7

σ μ

8 0
2 years ago
If 2 pounds of strawberries cost $4.50, how much would 3 pounds cost?
Nutka1998 [239]
3 pounds cost $6.75

to help you, turn it into a fraction, 2 punds ove 2.50 equals 3 pounds over X
8 0
3 years ago
Read 2 more answers
What is the exact volume of the cone? with a 5 ft radius and a 16 ft height
andrew11 [14]

Answer:

The volume is 418.93 ft^3

Step-by-step explanation:

Here, we want to find the volume of a cone

Mathematically, we use the formula;

V = 1/3 * pi * r^2 * h

r = 5 ft

h = 16 ft

Substituting these values;

V = 1/3 * 3.142 * 5^2 * 16

V = 418.93 ft^3

3 0
2 years ago
Which statement is true?
Nadusha1986 [10]

The correct statement is D.

Step-by-step explanation:

Given,

For backyard

Length = 5x-2

Width = 2x+4

For house

Length = 5x-2

Width = 4x-12

For driveway

Length = x+10

Width = 4x-12

To find the correct statement.

Formula

The area of a rectangle = Length × Width

So,

The area of the house and the driveway = (5x-2)(4x-12) + (x+10)(4x-12)

= (4x-12)(5x-2+x+10)

= (4x-12)(6x+8)

=24x^{2} +32x-72x-96

= 24x^{2} -40x-96

So, the correct statement is D

You can cross check the other statements.

5 0
3 years ago
The owner of Ray’s Deli wants to find out if there is a relationship between the temperature in summer and the number of glasses
Lemur [1.5K]

Answer:

D) data shows no relationship between temperature and lemonade sales.

Step-by-step explanation:

Don't have an explanation but this is the correct answer.

3 0
3 years ago
Read 2 more answers
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