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3 years ago

From 12 teachers to 15 teachers percent change

2 answers:

8 0

Answer:
125%

Explanation:
So basically, what percent of 12 is 15?
Let’s set-up our equation:
15/12=x/100
And we will cross multiply and divide:
(15x100)/12=
1500/12=125

Dvinal [7]3 years ago

3 0

Ggghhggghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

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The area of a trapezoid is 60 square inches. One of the bases is 8 inches long. The height is 6 inches long. What is the length

Mashcka [7]

Answer:

12 in

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h(b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases

Given h = 6, b₁ = 8 and A = 60 , then

$\frac{1}{2}$ × 6 × (8 + b₂ ) = 60 , that is

3(8 + b₂ ) = 60 ( divide both sides by 3 )

8 + b₂ = 20 ( subtract 8 from both sides )

b₂ = 12

The length of the second base is 12 inches

6 0

3 years ago

Find the surface area and the volume of the right prism shown below.

sergiy2304 [10]

Answer:

Surface area: 592

Volume: 960

Step-by-step explanation:

First the surface area:

The formula for a rectangular prism is length times width, plus width times height, plus length times height times two

So,

lw= 12 times 10 = 120

wh= 10 times 8 = 80

lh = 12 times 8 = 96

(120 plus 80 plus 96) times 2 = 296 times 2 = 592

Surface area = 592

Second, volume:

Formula is length times width times height

12 times 10 times 8 = 120 times 8 = 960

Volume = 960 cubic cm.

Hope this helped. Sorry if I was wrong.

8 0

3 years ago

Are the triangles congruent ? Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

prohojiy [21]

Answer:

no they are the illuminati

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

According to the WHO MONICA Project the mean blood pressure for people in China is 128 mmHg with a standard deviation of 23 mmHg

Sati [7]

Answer:

a) Mean blood pressure for people in China.

b) 38.21% probability that a person in China has blood pressure of 135 mmHg or more.

c) 71.30% probability that a person in China has blood pressure of 141 mmHg or less.

d) 8.51% probability that a person in China has blood pressure between 120 and 125 mmHg.

e) Since Z when X = 135 is less than two standard deviations from the mean, it is not unusual for a person in China to have a blood pressure of 135 mmHg

f) 157.44mmHg

Step-by-step explanation:

When the distribution is normal, we use 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.

If X is two standard deviations from the mean or more, it is considered unusual.

In this question:

$\mu = 128, \sigma = 23$

a.) State the random variable.

Mean blood pressure for people in China.

b.) Find the probability that a person in China has blood pressure of 135 mmHg or more.

This is 1 subtracted by the pvalue of Z when X = 135.

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

$Z = \frac{135 - 128}{23}$

$Z = 0.3$

$Z = 0.3$ has a pvalue of 0.6179

1 - 0.6179 = 0.3821

38.21% probability that a person in China has blood pressure of 135 mmHg or more.

c.) Find the probability that a person in China has blood pressure of 141 mmHg or less.

This is the pvalue of Z when X = 141.

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

$Z = \frac{141 - 128}{23}$

$Z = 0.565$

$Z = 0.565$ has a pvalue of 0.7140

71.30% probability that a person in China has blood pressure of 141 mmHg or less.

d.)Find the probability that a person in China has blood pressure between 120 and 125 mmHg.

This is the pvalue of Z when X = 125 subtracted by the pvalue of Z when X = 120. So

X = 125

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

$Z = \frac{125 - 128}{23}$

$Z = -0.13$

$Z = -0.13$ has a pvalue of 0.4483

X = 120

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

$Z = \frac{120 - 128}{23}$

$Z = -0.35$

$Z = -0.35$ has a pvalue of 0.3632

0.4483 - 0.3632 = 0.0851

8.51% probability that a person in China has blood pressure between 120 and 125 mmHg.

e.) Is it unusual for a person in China to have a blood pressure of 135 mmHg? Why or why not?

From b), when X = 135, Z = 0.3

Since Z when X = 135 is less than two standard deviations from the mean, it is not unusual for a person in China to have a blood pressure of 135 mmHg.

f.) What blood pressure do 90% of all people in China have less than?

This is the 90th percentile, which is X when Z has a pvalue of 0.28. So X when Z = 1.28. Then

X = 120

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

$1.28 = \frac{X - 128}{23}$

$X - 128 = 1.28*23$

$X = 157.44$

157.44mmHg

6 0

3 years ago

WILL GIVE BRAINLIST 2 BEST ANSWER

kolezko [41]

Answer:

Step-by-step explanation:

We have been given side AB and BC

AB must be 6 as it is between 4 and -2 and that distance is 6 (we have been given no units).

BC must be also 6 as it starts at -4 and ends at 2.

Pythagoras Theorem = a^2 + b^2 = c^2 (^2 means squared)

C is the hypotenuse (longest side) and this is what we are trying to find...

6^2 + 6^2 = 36+36=72

So AC is 72, however we need to square root this to get our final answer.

72 doesn't square easily, so we will use surds. 72 is 36*2 and 36 is a square number hence why...

AC is 6 root 2

Hope this helps!

4 0

3 years ago