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enyata [817]
3 years ago
12

At the doctor’s office, Martin learns that his heart beats 360 times in 5 minutes.How many does his heart beat per minute?

Mathematics
1 answer:
TEA [102]3 years ago
8 0
To find this answer, just divide 360 by 5 to find out how many times his heart beats in one minute instead of 5. Doing this will give you a final answer of 72 bpm.
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A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat
Marizza181 [45]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25  

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.04 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We assume that a prior estimation for p would be \hat p =0.5 since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25  

And rounded up we have that n=421

5 0
3 years ago
Find the sum of interior angles a polygon has with the given number of sides a.9 b.19
Gnom [1K]

The equation for this is (n-2) x 180

Replace n with the number of sides:

a. 9:  (9-2) x 180 = 7 x 180 = 1,260

b. 19: (19-2) x 180 = 17 x 180 = 3,060

4 0
3 years ago
One side of triangle is 4 4 times the shortest side. The third side is 23 23 feet more than the shortest side. The perimeter is
jasenka [17]

Answer:

9, 32 and 36

Step-by-step explanation:

The perimeter of a triangle is the sum of all the sides.  Since you know the perimeter and the expressions for each of the sides, you can set up an equation to solve for the variable and find the values of the other sides:

one side: '4 times the shortest side' = 4s

shortest side: 's'

third side: '23 more than the shortest side' = s + 23

perimeter  = 77

Equation:  4s + s + (s + 23) = 77

Combine like terms:  6s + 23 = 77

Subtract 23 from both sides:  6s + 23 - 23 = 77 - 23 or 6s = 54

Divide by 6:  6s/6 = 54/6 or s = 9

one side: 4s = 4(9) = 36

shortest side: s = 9

third side: s + 23 = 9 + 23 = 32

3 0
3 years ago
What is the measure of z?<br> an<br> z= [?
Gemiola [76]

what to find

measure of z =1

7 0
3 years ago
A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times.
AnnyKZ [126]

Answer:

  • 7/20

Step-by-step explanation:

Frequency of Section 1 is 28 and total number of  frequencies is 80.

  • P(Section 1) = 28/80 = 7/20
8 0
3 years ago
Read 2 more answers
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