Find the missing length of the triangle. 12 cm 15 cm

Mandarinka [93]

$- \frac{\pi}{2} < \arcsin{x} < \frac{\pi}{2} 
\\
\\\sin(- \frac{\pi}{2}) < \sin(\arcsin{x}) < \sin(\frac{\pi}{2} )
\\
\\-1 < x < 1$

6 0

3 years ago

The following are the ratings of males by females in an experiment involving speed dating. Use the given data to construct a box

Finger [1]

Answer:

Step-by-step explanation:

Box plot is enclosed.

To find out 5 number summary

3.0, 3.5, 4.5, 5.5, 6.5, 6.5, 7.0, 7.0, 7.0, 7.0, 7.0, 7.5, 8.0, 9.0, 9.0, 9.0, 9.5, 9.5, 9.5, 9.5}

Minimum: 3.0

Quartile Q1: 6.5

Median: 7

Quartile Q3: 9

Maximum: 9.5

Besides we find that

Average (mean): μ=7.25

Absolute deviation: 30.5

Mean deviation: 1.525

Minimum: 3.0

Maximum: 9.5

Variance: 3.7125

Standard deviation σ=1.926

4 0

3 years ago

BRAINLIEST FOR RIGHT ANSWER!!

julsineya [31]

Answer: ${\boxed{h(x+4)=\frac{9+3x}{8+x}}}$

Concept:

In a function f(x), it represents a function in terms of x or for x. Therefore, to find the values in the function, substitute values within the parenthesis to solve.

Solve:

Given information

$h(x)=\frac{-3+3x}{4+x}$

Need to find

$h(x+4)$

Substitute (x + 4) to the position of x

$h(x+4)=\frac{-3+3(x+4)}{4+(x+4)}$

Distributive property on the numerator

$h(x+4)=\frac{-3+3x+12}{4+(x+4)}$

Combine like terms

$h(x+4)=\frac{-3+12+3x}{4+4+x}$

$\boxed{h(x+4)=\frac{9+3x}{8+x}}$

Hope this helps!! :)

Please let me know if you have any questions

5 0

2 years ago

A new cream was developed to reduce the irritation caused by poison ivy. To test the effectiveness, researchers put an ad online

telo118 [61]

Answer:

Single Blind (option 1)

Step-by-step explanation:

The subjects don't know which cream they have but the technicians do.

If the subject knows which cream they have then they can be influenced by the placebo effect. If they don't know but the technicians do then the technicians will be able to look at unbiased responses from the subjects and tell if it works or not. If the technicians don't know which cream each subject has then they won't be able to learn anything from the responses. The technicians need to know which cream each subject has and the subjects can't know which cream they had.

4 0

2 years ago

If the probability of a win is 0.02, and the probability of a draw is 0.8, what is the probability of a loss?

atroni [7]

A probability is a number between zero and one.

There are 3 options win, lose or draw.
This means that (win + loss + draw = 1)

From the information given you know:
Win = 0.02
Draw = 0.8

So: 0.02 + loss + 0.8 = 1
Therefor loss = 1 - 0.8 - 0.02
loss = 0.18
final answer ^

Hope this helps, let me know if you don't get any of it!

8 0

2 years ago