Simplify 20 + 5^2 × 2

A data set with a mean of 34 and a standard deviation of 2.5 is normally distributed

tresset_1 [31]

Answer:

a) $z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

b) $P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

c) $z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

Step-by-step explanation:

For this case we have a random variable with the following parameters:

$X \sim N(\mu = 34, \sigma=2.5)$

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

$P(34 < X$

We can find the number of deviation from the mean with the z score formula:

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

And replacing we got

$z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

For the second case:

$P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

For the third case:

$P(29 < X$

And replacing we got:

$z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

7 0

2 years ago

6+n/60=15/90 How do I dolce this

Lilit [14]

$6+\frac{n}{60}=\frac{15}{90}\\\\6+\frac{n}{60}=\frac{1}{6}\ \ \ \ \ |multiply\ both\ sides\ by\ 60\\\\360+n=10\ \ \ \ \ \ \ |subtract\ 360\ from\ both\ sides\\\\\boxed{n=-350}$

8 0

2 years ago

A 2,000-foot-long fence will be used to enclose a rectangular field that is three times as long as it is wide. What is the lengt

BartSMP [9]

I think it's another trick question and the answer is 2000.

4 0

2 years ago

Consider the inequality 4x – 3 ≥ 13. Select four x-values that make the inequality true.

Neporo4naja [7]

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

4x-3≥13 We are going to be simplifying

Step 2

4x-3≥13 Add 3 to the sides

4x≥16

Step 3

4x≥16 Divide them sides by 4

x≥4

So therefore your answer is x≥4

Hope this helps

3 0

2 years ago

Use the functions to answer the question.

Ksivusya [100]

Composition function rule (f○g)(x) = f(g(x))
Given the separate functions: $f(x)=2x+1$ and $g(x)=x^2$

$(f\circ g)(-5)\rightarrow\text{ Composition Function Rule}\rightarrow f(g(-5))=2((5)^2)+1$
$\rightarrow2(25)+1=50+1=51$

4 0

2 years ago