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Andrej [43]
2 years ago
9

Pls show work

Mathematics
1 answer:
denis23 [38]2 years ago
4 0

Answer:

The volume of a sphere is 113.04\ \text{inches}^3

Step-by-step explanation:

We have,

The radius of a sphere is 3 inches.

It is required to find the volume of a sphere.

The volume of a sphere is given by formula as follows :

V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\times 3.14\times (3)^3\\\\V=113.04\ \text{inches}^3

So, the volume of a sphere is 113.04\ \text{inches}^3.

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What is the value of x?<br> 21<br> 24<br> 32<br> 44
Mumz [18]

Answer:

21

Step-by-step explanation:

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3 0
3 years ago
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An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre
melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let \mu = <u><em>mean power consumption for microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W     {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, H_A : \mu > 250 W     {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                                T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean power consumption for ovens = 257.3 W

            σ = population standard deviation = 15 W

            n = sample of microwave ovens = 20

So, <em><u>the test statistics</u></em>  =  \frac{257.3-250}{\frac{15}{\sqrt{20} } }

                                      =  2.176

The value of z test statistics is 2.176.

<u>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</u>

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0
2 years ago
2. What is the median of this set of values? (1 point)<br> 6, 8, 10, 8, 4, 2, 12
vredina [299]

Answer:8

Step-by-step explanation:

Right is the middle number when put in order form least to greastes

8 0
3 years ago
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4. A scientist changes the temperature of a solution at a rate of -7°C per minute. How many minutes will it take for
igomit [66]

Answer:

7 minutes

Step-by-step explanation:

The scientist changes the temperature for the solution at a rate of -7°C per minute. We need to find out how long it'll take for the solution's temperature to change from  0°C to -49°C. So, we divide -7 by -49 to find out how long it will take:

-49 / -7 = 7

It will take 7 minutes for the temperature to reach -49°C.

6 0
2 years ago
Pls help me :"( geometry i will give brainliest<br> and 100 Pts
dalvyx [7]

<u>Answer:</u>

ΔLNM is proved as isosceles triangle. Below for explanation.

<u>Step-by-step explanation:</u>

We know that:

  • AMBX = Square
  • Squares have equal sides

Since AMBX is a square, AL must equal to BN because they are the extra lengths of the square. The lengths of the square are AM, MB, BX, XA.

  • Side of square + Extra length = Side of triangle

This can tell us that the two sides of the triangle are equal. We also know that if 2 sides of a triangle are equal, it is classified as an isosceles triangle. Hence, ΔLNM is proved as an isosceles triangle.

Hoped this helped!

4 0
2 years ago
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