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Firlakuza [10]
2 years ago
7

Select all the expressions that have a value of 40 when x = 10.8.

Mathematics
1 answer:
schepotkina [342]2 years ago
4 0

Answer:

the third expression

Step-by-step explanation:

x=10.8

(x2 / 18) + 33.52

10.8 x 10.8=116.64

116.64 divide by 18=6.48

6.48 + 33.52=40

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A normal population has a mean of 19 and a standard deviation of 5.
dangina [55]

Answer:

a) Z = 1.2

b) 38.49% of the population is between 19 and 25.

c) 34.46% of the population is less than 17.

Step-by-step explanation:

Problems of normally distributed samples can be 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}

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. If we need to find the probability that the measure is larger than X, it is 1 subtracted by this pvalue.

For this problem, we have that

A normal population has a mean of 19 and a standard deviation of 5, so \mu = 19, \sigma = 5.

(a) Compute the z value associated with 25

This is Z when X = 25

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

Z = \frac{25 - 19}{5}

Z = 1.2

(b) What proportion of the population is between 19 and 25?

This is the pvalue of Z when X = 25 subtracted by the pvalue of Z when X = 19.

X = 25 has Z = 1.2, that has a pvalue of 0.8849.

X = 19 has Z = 0, that has a pvalue of 0.5000.

So 0.8849-0.500 = 0.3849 = 38.49% of the population is between 19 and 25.

(c) What proportion of the population is less than 17?

This is the pvalue of Z when X = 17

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

Z = \frac{17 - 19}{5}

Z = -0.40

Z = -0.40 has a pvalue of 0.3446.

This means that 34.46% of the population is less than 17.

7 0
3 years ago
A rectangular school banner has a length of 60 inches and a width of 48 inches. A sign is made that is similar to the school ban
natulia [17]

Answer:

The ratio of the length of the banner to the length of the sign = 54/17

So....since they are similiar figures, the widths will have the same ratio

And the ratio of the area of the banner to the area of the sign will be the square of this ratio  

Step-by-step explanation:

[54/17]^2  = 2916/289

3 0
3 years ago
PLEASEEE HELP!!Jordan got a job making $8 per hour. Which expression represents how much she makes?
maria [59]
A. 8h.
Hope this helps!!!
7 0
3 years ago
Read 2 more answers
<, >, or =.
sveticcg [70]

Answer:

>

Step-by-step explanation:

When it is converted it is -4.4

6 0
2 years ago
Read 2 more answers
Part one: Sequence and Series
ASHA 777 [7]

Answer:

- 57

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a + (n - 1)d

where a is the first term and d the common difference

Here a = 13 and d = - 2.5, thus

a_{29} = 13 + (28 × - 2.5) = 13 - 70 = - 57

8 0
3 years ago
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