2. Here is an inequality on a number line.

A store sells 5 models of cameras for $260,$120,$220,$300, and $120. If the sales tax rate is 2%, what are the mean, median, mod

Natalka [10]

Answer:

159.12

Step-by-step explanation:

find the amount with taxe (Ax1.02)

add all of them up together

then divide by 5

6 0

3 years ago

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Which expression could be modeled using the diagram?

vova2212 [387]

Answer:

4 divided by one-fifth

Step-by-step explanation:

A trick with fractions is if you want to find the numerical value of the fraction divide the Numerator by the denominator and you will get a decimal value that is easier to work with, I hope this helps! ^<^

5 0

3 years ago

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4. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. In a

borishaifa [10]

675 people will have score between 85 and 120

Step-by-step explanation:

Given

Mean = 100

SD = 15

If we have to find percentage of score between two values we have to find the z-score for both values and then area under the curve for both values

z-score is given by:

for a value x:

$z-score = \frac{x-mean}{SD}$

So,

For 85:

$z-score = z_1 = \frac{85-mean}{SD}\\ = \frac{85-100}{15}\\=\frac{-15}{15}\\=-1$

$z-score = z_2 = \frac{120-mean}{SD}\\ = \frac{120-100}{15}\\=\frac{20}{15}\\=1.3333$

Now we have to find the area under the curve for both values of z-score. z-score tables are used for this purpose.

So,

For z1 : 0.1587

For z2: 0.9082

The area between z11 and z2:

$z_2-z_1 = 0.9082-0.1587=0.7495$

So the probability of score between 85 and 120 is 0.7495

As the sample is of 900 people, the people with scores between 85 and 120 will be:

900*0.7495 = 674.55 people

Rounding off to nearest whole number

675 people will have score between 85 and 120

Keywords: Probability, SD

Learn more about probability at:

#LearnwithBrainly

4 0

3 years ago

At a fixed operating setting, the pressure in a line downstream of a reciprocating compressor has a mean value of 950 kPa with a

prisoha [69]

Answer:

4.75% probability that the line pressure will exceed 1000 kPa during any measurement

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 950, \sigma = 30$