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Gnoma [55]
3 years ago
13

a bike path is 40 miles in total. mick is 70% of the way to the end. how many miles along is mick on the path?

Mathematics
1 answer:
serg [7]3 years ago
4 0
Maybe it is correct answer

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(05.03)The equation shows the relationship between x and y:
Aleks04 [339]
The slope of this line is the number that is attached to the x...so in this case it would be -2 :) hope this helps you out! good luck!
3 0
4 years ago
Read 2 more answers
10
hodyreva [135]

Answer:

d

Step-by-step explanation:

d trust

3 0
3 years ago
19. A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years
Juliette [100K]

Answer:

a) Approximately normal.

b) The mean is 75 years and the standard deviation is 0.8485 years.

c) 0.9909 = 99.09% probability that the mean age exceeds 73 years

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Sample of 50 retirees

This means that n = 50

Mean age and standard deviation are 75 and 6 years

This means that \mu = 75, \sigma = 6

a. Describe the shape of the sampling distribution of the sample mean in this case

By the Central Limit Theorem, approximately normal.

b. Find the mean and standard error of the sampling distribution of the sample mean.

By the Central Limit Theorem, the mean is 75 and the standard error is s = \frac{6}{\sqrt{50}} = 0.8485

c. What is the probability that the mean age exceeds 73 years?

This is 1 subtracted by the pvalue of Z when X = 73.

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

By the Central Limit Theorem

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

Z = \frac{73 - 75}{0.8485}

Z = -2.36

Z = -2.36 has a pvalue of 0.0091

1 - 0.0091 = 0.9909

0.9909 = 99.09% probability that the mean age exceeds 73 years

5 0
3 years ago
A triangle having sides 12cm, 8cm, 8cm, is​
Lelechka [254]

Answer:

isosceles triangle

Step-by-step explanation:

An isosceles triangle has 2 congruent sides

The triangle described here has 2 congruent sides of 8 cm

The triangle is isosceles

5 0
2 years ago
Read 2 more answers
Complete the missing value in the solution to the equation.
nikitadnepr [17]

Answer: The answer is x=6, the final set of (x,y) values are (6,-4)

Step-by-step explanation:

You must move around the equation to get it to y= mx+b to find the (x,y) values

Since you know y=-4 since it is stated above, plug in -4 for all y values and solve.

1. 6x+ 7(-4) =4x +4(-4)

2. 6x -28= 4x -16

3. 2x-28=-16

4. 2x=12

5. x=6

6 0
3 years ago
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