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IceJOKER [234]
3 years ago
6

Find the slope: 1/8x + 3y = 3

Mathematics
2 answers:
DENIUS [597]3 years ago
8 0

 

Hello:<span>
the equation is : y = ax+b
<span>the slope is : a
</span></span><span> 1/8x + 3y = 3........ (x+24y)/8 = 3
</span>x+24y = 24
24 y = - x +24
y = (-1/24)x +1 
the slope is : (-1/24) 
kifflom [539]3 years ago
4 0
I'd have to say the slop is - 1/24
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The resting heart rate for an adult horse should average about µ = 47 beats per minute with a (95% of data) range from 19 to 75
KatRina [158]

Answer:

a. 0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. 0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. 0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean:

\mu = 47

(95% of data) range from 19 to 75 beats per minute.

This means that between 19 and 75, by the Empirical Rule, there are 4 standard deviations. So

4\sigma = 75 - 19

4\sigma = 56

\sigma = \frac{56}{4} = 14

a. What is the probability that the heart rate is less than 25 beats per minute?

This is the p-value of Z when X = 25. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{25 - 47}{14}

Z = -1.57

Z = -1.57 has a p-value of 0.0582.

0.0582 = 5.82% probability that the heart rate is less than 25 beats per minute.

b. What is the probability that the heart rate is greater than 60 beats per minute?

This is 1 subtracted by the p-value of Z when X = 60. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{60 - 47}{14}

Z = 0.93

Z = 0.93 has a p-value of 0.8238.

1 - 0.8238 = 0.1762

0.1762 = 17.62% probability that the heart rate is greater than 60 beats per minute.

c. What is the probability that the heart rate is between 25 and 60 beats per minute?

This is the p-value of Z when X = 60 subtracted by the p-value of Z when X = 25. From the previous two items, we have these two p-values. So

0.8238 - 0.0582 = 0.7656

0.7656 = 76.56% probability that the heart rate is between 25 and 60 beats per minute

3 0
3 years ago
Identify the transformation performed on the figure below
pickupchik [31]

A) Translation

hope this helps!

5 0
3 years ago
Read 2 more answers
What is the P(T,H,T,H) on 4 flips of a coin?<br><br> i need help
Katen [24]

Answer:

1/16

Step-by-step explanation:

Each coin flip is an independent event so the probabilities are independent

P(T,H,T,H) = P(T) P(H)  P(T) P(H)

                  = 1/2 * 1/2 * 1/2 * 1/2

                   = 1/16

5 0
3 years ago
What are 3 consecutive numbers that is the sum of -27.please be right.use odd numbers
qaws [65]
You're asking for three consecutive odd numbers, then
Let, the numbers = x, x+2, x+4

It is given that, x + x+2+ x+4 = -27
3x + 6 = -27
3x = -27 - 6
x = -33/3
x = -11
Then, x+2 = -9 & x+4 = -7

In short, Your Numbers would be: -7, -9,-11

Hope this helps!
6 0
3 years ago
Plssss helppp me plsss
adelina 88 [10]
6 I think but maybe 1
4 0
3 years ago
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