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4 years ago

5 ft, 10 ft, 7 ft unique, more than one triangle, or no triangle?

Mathematics

1 answer:

stealth61 [152]4 years ago

6 0

Answer:

Unique Triangle

Step-by-step explanation:

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Suppose you can somehow choose two people at random who took the SAT in 2014. A reminder that scores were Normally distributed w

Sindrei [870]

Answer:

22.29% probability that both of them scored above a 1520

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:

$\mu = 1497, \sigma = 322$

The first step to solve the question is find the probability that a student has of scoring above 1520, which is 1 subtracted by the pvalue of Z when X = 1520.

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

$Z = \frac{1520 - 1497}{322}$

$Z = 0.07$

$Z = 0.07$ has a pvalue of 0.5279

1 - 0.5279 = 0.4721

Each students has a 0.4721 probability of scoring above 1520.

What is the probability that both of them scored above a 1520?

Each students has a 0.4721 probability of scoring above 1520. So

$P = 0.4721*0.4721 = 0.2229$

22.29% probability that both of them scored above a 1520

8 0

3 years ago

What is the area of the real backyard?

prohojiy [21]

50 meters, because if 4cm is 5 m, then it would be 5( 4cm, which equals 5m) multiplied by 10( 8cm÷4cm= 2. 2×5m= 10). So 5m × 10m = 50m. Hope this helps!

7 0

3 years ago

How many positive integers less than 1000 (a) are divisible by 7? justify your answer?

mote1985 [20]

142.

You can get this by seeing what number you have to multiply 7 by to get as close to 1000 as you can. 7*142 = 994. Thus each one of the multiplications up to that point will give you a positive integer than can be divided by 7. <span />

6 0

3 years ago

8 thank you so much!!!

777dan777 [17]

Answer:

C) (-4, 2)

Step-by-step explanation:

It is easier to begin by putting the y equation back into the x equation so it would be rewritten as:

x= 2 (-2x - 6) - 8

Since you replace the y for the given y value

Distribute and you get

x = -4x -12 -8

Add 4x to both sides to get rid of it on the right and balance the equation

5x = -12-8 which is -20

5x = -20

divide by 5 gives you the value -4 for the x

Now simply put that value in for the y equation

y= (-2 (-4)) -6

y = 8 - 6

y = 2

8 0

3 years ago

Read 2 more answers

write the point-slope form of the equation that represents the line that passes through the point (-1,6) and has a slope of -3

Slav-nsk [51]

Answer:

y-6=-3(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-6=-3(x-(-1))

y-6=-3(x+1)

4 0

3 years ago