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polet [3.4K]
3 years ago
12

The resting heart rate of US females 20 years old or older is normally distributed with a mean of 75 bpm (beats per minute). Sup

pose the standard deviation was 15 bpm. If one randomly selected female's resting heart rate falls in the bottom 33% of all women, at most what could her rate have been?
A. 70.05
B. 68.4
C. 79.95
D. 84.439
E. .6
F. 65.561
Mathematics
1 answer:
Sergio [31]3 years ago
7 0

Answer:

69 bpm

Step-by-step explanation:

Here we start out finding the z-score corresponding to the bottom 33% of the area under the standard normal curve.  Using the invNorm( function on a basic TI-83 Plus calculator, I found that the z-score associated with the upper end of the bottom 33% is -0.43073.

Next we use the formula for z score to determine the x value representing this woman's heart rate:

       x - mean                              x - 75 bpm

z = ----------------- = -0.43073 = --------------------

       std. dev.                                    15

Thus,  x - 75 = -0.43073(15) = -6.461, so x = 75 - 6.6461, or approx. 68.54, or (to the nearest integer), approx 69 bpm

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Answer:

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3 years ago
Is 0.7142857.... a rational number? why or why not?
Andreyy89
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3 years ago
PLEASE HELP ASAP!!!!
OleMash [197]

Answer:

y = -2x + 8

Step-by-step explanation:

The point slope form of an equation is written as

y = mx + c              ...............(i)

Where m is the slope and c is the constant

Now we Know that the equation is

y + 2 = -2(x-5)

and the given points are

m= -2

x = 5

and y= -2

Putting these values in equation (i) to find the value of c

y = mx + c

it becomes

-2 = -2(5) + c

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Adding 10 on both sides

-2 + 10 = -10 + 10 + c

8 = c

or c=8

Now we have the values of m and c

where m= -2 and c = 8

Point slope form of an equation is

y = mx + c

putting the values of m and c to get equation in slope intercept form is

y = (-2)x + 8

or

y = -2x + 8


Other method:

The given point slope form is

y + 2 = -2(x-5)

We have to change it in y= mx + c      form

so solving it

y + 2 = -2x + 10

Subtracting 2 from both sides

y + 2 -2 = -2x + 10 -2

y = -2x + 8

which is same is

y=mx + c

so the required equation is

y = -2x + 8  

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2 years ago
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zhenek [66]
I don’t even know what to say.
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2 years ago
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Answer:

the length of RS to the nearest tenth of a foot is 240.6ft

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3 years ago
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