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2 years ago

Make a list of. problem solving strategies you have learned in class (example.Draw a picture).

Mathematics

1 answer:

djyliett [7]2 years ago

8 0

Solve a simpler problem
make a table
make a drawing
use a graph
use guess-and-check
solve an equation

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1. Suppose you have a variable X~N(8, 1.5). What is the probability that you have values between (6.5, 9.5)

Natalija [7]

Answer:

0.6826 = 68.26% probability that you have values in this interval.

Step-by-step explanation:

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.

X~N(8, 1.5)

This means that $\mu = 8, \sigma = 1.5$

What is the probability that you have values between (6.5, 9.5)?

This is the p-value of Z when X = 9.5 subtracted by the p-value of Z when X = 6.5. So

X = 9.5

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

$Z = \frac{9.5 - 8}{1.5}$

$Z = 1$

$Z = 1$ has a p-value of 0.8413.

X = 6.5

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

$Z = \frac{6.5 - 8}{1.5}$

$Z = -1$

$Z = -1$ has a p-value of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that you have values in this interval.

7 0

2 years ago

A shop is selling notebooks for £1.50 each.

aliina [53]

Answer:

you can buy 14 but have £.25 for change

3 0

2 years ago

Given the following table, determine the missing value. a. 1.15 C 15 b. 115 d. .15

Setler [38]

Answer:

it's c because it's the missing value

8 0

3 years ago

Read 2 more answers

Solve for b. d = 3a + 3b A. b=d−3a B. b=3a−d/3 C. b=d−3a/a D. b=d−3a/3

Luda [366]

The correct answer here is d

d = 3a + 3b

d - 3a = 3b

d - 3a/3 = b

3 0

3 years ago

Determine whether the relation shown in the table is a direct variation, and inverse, or neither.

Grace [21]

The table of values has an inverse relationship. An inverse relationship is a relationship in which changes in one set of values causes changes in another set of values in the other direction. Simply saying, if a set of values (x) increases, another set of values (y) decreases.

4 0

2 years ago