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MA_775_DIABLO [31]
3 years ago
6

The measure of an angle is fourteen times the measure of its supplementary angle.What is the measure of each angle?

Mathematics
1 answer:
alina1380 [7]3 years ago
5 0

Answer:

12 and 168

Step-by-step explanation:

Supplementary add up to 180°

x+14x = 180

15x=180

x=12

12*14=168

168+12 = 180

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. If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person
bulgar [2K]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or greater

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 = 100, \sigma = 5

What is the probability that a person selected at random will have an IQ of 110 or greater?

This is 1 subtracted by the pvalue of Z when X = 110. So

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

Z = \frac{110 - 100}{5}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% probability that a person selected at random will have an IQ of 110 or greater

5 0
3 years ago
Marco can paddle his canoe at a rate of 6 miles per hour on unmoving water. However, today Marco is canoeing down (with the curr
Radda [10]

Answer:

S = v1 t1 = 7 t1    traveling downstream

S = v2 t2 = 5 t2    traveling upstream

7 t1 = 5 t2

7 (6 - t2) = 5 t2     since t1 + t2 = 6

42 - 7 t2 = 5 t2

t2 = 42 / 12 = 3.5 hrs so t1 = 2.5 hrs

S = 7 t1 = 7 * 2.5 = 17.5 mi

Also, S = 5 t2 = 5 * 3.5 = 17.5 mi

3 0
2 years ago
Solve, then check algebraically and graphically. 7x+14= 56
kari74 [83]

Answer:

x = 6

Step-by-step explanation:

7 x = 56-14

7 x = 42

7 x/7 to remain with x only = 42

then x = 6

6 0
3 years ago
How many terms in 9a+11p
Naddik [55]

Answer:

2 terms

Step-by-step explanation:

Terms are nothing but the mixtures of co-effecients and their variables..

Here, 9a is one term while 11p is the other

7 0
2 years ago
Read 2 more answers
The market is located at point (−4, −3) on the coordinate graph. The barber shop is 8 units to the right and 4 units up from the
Evgesh-ka [11]

Answer:

(4, 1)

Step-by-step explanation:

8 units to the right = x + 8, so -4 + 8 = 4

4 units up = y + 4, so -3 + 4 = 1

4 0
2 years ago
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