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3 years ago

!50 point question! Find x and explain how you found it!

Mathematics

1 answer:

STatiana [176]3 years ago

4 0

Answer:

$\sf x = 60^{\circ \:}$

given:

adjacent side: 10
hypotenuse side: 20

using cosine rule:

$\hookrightarrow \sf cos(x) = \dfrac{adjacent}{hypotense}$

$\hookrightarrow \sf \sf cos(x) = \dfrac{10}{20}$

$\hookrightarrow \sf \sf x = cos^{-1}(\dfrac{10}{20} )$

$\hookrightarrow \sf \sf x = 60^{\circ \:}$

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Express the equation in slope-intercept form (1/2,-2) and slope m = 3

Nady [450]

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3 years ago

How do I answer this dot plot?

Anna11 [10]

It would seem the problem requires you compute the mean, median, and standard deviation of each of the data sets. This is nicely done using the statistics functions of your graphing calculator.

Data Set A (mean, median, standard deviation) = (29.7, 29.5, √12.71)
Data Set B (mean, median, standard deviation) = (27.95, 27, √6.1475)

1. False. Data Set B is skewed to the right.
2. TRUE. 27.95 is within 3 of 29.7.
3. False. √12.71 ≠ √6.1475
4. False. The mean of Data Set A is 29.7.
5. False. Data Set A has the higher standard deviation.
6. TRUE. 29.7 is close to 29.5.

The true statements are
• the 2nd one
• the 6th one

3 0

3 years ago

the model shows -3x + 5= -2x -1. What value of x makes the equation true? look at the picture please..

Stels [109]

Answer:

D. x=6

Step-by-step explanation:

-3x + 5= -2x -1

more variables to left hand side and change its sign

-3x+2x+5=-1

move constant to right hand side and change its sign

-3x+2x=-1-5

collect like terms

-x=-1-5

calculate the difference

-x=-6

change the signs on both sides of the equation

x=6

5 0

3 years ago

HELP PLEASE HELP!!!!! 20 POINTS!!!

ivann1987 [24]

The answer should be C. By combining like terms you can find the answer. 1.75a+2.75a = 4.5a
2.25b + 1.75b = 4b
2.25c + 1.25c = 3.5c

3 0

4 years ago

Read 2 more answers

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.

yawa3891 [41]

Answer:

The probability is 0.003

Step-by-step explanation:

We know that the average $\mu$ is:

$\mu=500$

The standard deviation $\sigma$ is:

$\sigma=100$

The Z-score is:

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

We seek to find

$P(x800)$

For P(x>800) The Z-score is:

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

$Z=\frac{800-500}{100}$

$Z=3$

The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x>800)=0.15\%$

For P(x<200) The Z-score is:

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

$Z=\frac{200-500}{100}$

$Z=-3$

The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x$

Therefore

$P(x800)=P(x800)$

$P(x800)=0.0015 + 0.0015$

$P(x800)=0.003$

6 0

3 years ago