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3 years ago

What is the mean of 45,50,47,52,53,45,51

Mathematics

1 answer:

Alina [70]3 years ago

8 0

Answer:

Mean is 49

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. Please give me the brainliest answer.

Hope this helped :D have a good day!!!

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Which statement is true about the end behavior of the graphed function? The graph and choices are attached.

nadezda [96]

The correct answer is A) as the x values go to positive infinity, then the graph goes to negative infinity.

We can tell this by looking at the graph values as x goes up. You'll notice, as we get higher and higher, the graph disappears down. This means it is heading towards negative infinity for the rest of the graph.

7 0

3 years ago

Read 2 more answers

The mean resting pulse rate for men is 72 beats per minute. A simple random sample of men who regularly work out at Mitch's Gym

BARSIC [14]

Answer:

We conclude that the mean resting pulse rate for men is 72 beats per minute.

Step-by-step explanation:

We are given that he mean resting pulse rate for men is 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 2.6 beats per minute.

A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below;

87, 89, 69, 63, 70, 65, 88, 84, 58, 53, 66, 70.

Let $\mu$ = mean resting pulse rate for men.

SO, Null Hypothesis, $H_0$ : $\mu$ = 72 beats/minute {means that the mean resting pulse rate for men is 72 beats per minute}

Alternate Hypothesis, $H_A$ : $\mu$ < 72 beats/minute {means that the mean resting pulse rate for men is less than 72 beats per minute}

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

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

where, $\bar X$ = sample mean mean resting pulse rate = $\frac{\sum X}{n}$

= $\frac{87+ 89+ 69 +63 +70 +65+ 88+ 84+ 58+ 53+ 66+ 70}{12}$ = 71.83 beats/minute

$\sigma$ = population standard deviation = 2.6 beats per minute

n = sample of men = 12

So, the test statistics = $\frac{71.83 - 72}{\frac{2.6}{\sqrt{12} } }$

= -0.23

The value of z test statistics is -0.23.

Also, P-value of the test statistics is given by;

P(Z < -0.23) = 1 - P(Z $\leq$ 0.23)

= 1 - 0.59095 = 0.40905

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is more than the critical value of z as -0.23 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean resting pulse rate for men is 72 beats per minute.

3 0

3 years ago

Which statement correctly explains how Mari could find the solution to the following system of linear equations using

just olya [345]

Multiply the first equation by 7 and the second equation by 2, and then add.

Step-by-step explanation:

2f - 5g=-9

-7f + 3g=4

To eliminate any variable , we need to make the coefficients same with different sign and add it

the coefficient of 'f' in first equation is 2

the coefficient of 'f' in second equation is -7

We already have different sign so we make the coefficients same

To make the coefficient same , we multiply the first equation by 7 and second equation by 2

So equation becomes

14f - 35g = -63

-14f + 6g = 8

Now when we add both equations, 'f' gets cancelled

-29g = -55

7 0

3 years ago

Maths I’ll give the brainiest

Helga [31]

Answer:

x= 4/5

y= 2/5

Step-by-step explanation:

3x-y=2

2x+y=5

solve them so that they are in y=mx+b form

3x-y-3x=2-3x

-y= -3x+2

y= 3x -2

2x+y -2x= 2-2x

y= -2x+2

now use the substitution method to get your points

3x -2= -2x+2

3x -2+2= -2x+2+2

3x= -2x+4

3x+2x= -2x+4+2x

5x=4

x= 4/5

now substitute x into any of the 2 equations

y= 3x -2

y= 3(4/5) -2

y= 2 2/5 -2

y= 2/5

Hope this helped!

4 0

3 years ago

27/64A bottled water company has designed a new cup for its dispenser. The cup will be a right circular cone with a three-inch r

tankabanditka [31]

Answer:

9.86 inches

Step-by-step explanation:

Given:

The cup will be a right circular cone with:-

Radius, r = 3 inches

Volume of cone = 93 cubic inches

Height of the cup, h = ?

Solution:

By using :-

$Volume\ of\ right\ circular\ cone=\frac{1}{3} \pi r^{2} h$

$93 =\frac{1}{3} \times\frac{22}{7} \times3\times3\times h\\ \\ 93=\frac{198}{21} h\\ \\ 93=9.43h$

By dividing both sides by 9.43

$\frac{93}{9.43} =\frac{9.43h}{9.43} \\ \\ 9.86\ inches=h$

Thus, the cup need to be 9.86 inches taller to hold 93 cubic inches of water.

6 0

3 years ago