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Lera25 [3.4K]
3 years ago
9

Find the value of x in the triangle shown below.

Mathematics
1 answer:
Darya [45]3 years ago
6 0
X = 42 (i’m not sure your giving enough information)
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A person must score in the upper 8% of the population on an IQ test to qualify for membership in MENSA, the international high-I
Cloud [144]

Answer:

A person must get an IQ score of at least 138.885 to qualify.

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 = 115, \sigma = 17

(a). [7pts] What IQ score must a person get to qualify

Top 8%, so at least the 100-8 = 92th percentile.

Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.

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

1.405 = \frac{X - 115}{17}

X - 115 = 17*1.405

X = 138.885

A person must get an IQ score of at least 138.885 to qualify.

5 0
3 years ago
Read 2 more answers
The ratio of boys to girls at a school is 9 to 11. If 400 students attend the school, how many are girls?
pentagon [3]
Total ratio=9+11=20
number of girls=11/20*400
                          =220
6 0
3 years ago
Read 2 more answers
A print shop borrows $6700 from a credit union for 338 days the credit union charges simple interest at an annual rate of 10% fo
bekas [8.4K]

Answer:

The total he would have to pay back would be $7,320.44

Step-by-step explanation:

(I'm assuming you want the total amount he needs to pay back)

6700 x 0.10 = 670 per year

670 ÷ 365 = 1.835616438356164

1.835616438356164 × 338 = 620.44

620.44 + 6700 = 7,320.44

3 0
2 years ago
Lavinia has 9 glasses and 6 mugs . she would like to set them out in identical groups with none left over in preparation for a p
sergejj [24]
You must find the factors of each number...
9 = 1, 3, 3, 9
6 = 1, 2, 3, 6

Next, determine the common multiple...
9 = 1, 3, 3, 9
6 = 1, 2, 3, 6

Therefore, the most groups Lavinia can make without any glasses or mugs left to spare is 3.
3 0
3 years ago
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Although not so common now, consider a phone plan that does not have unlimited texting. Your base plan costs you $30 a month and
german

Answer:

The bill will be $26070.

Step-by-step explanation:

Your base plan costs you $30 a month

And each text sent or received is only 12 cents or $0.12.

Let the messages sent be = x

So, cost for messages become = 0.12x

Let total bill cost be = y

Now, total bill will comprise of monthly plan charges plus message charges.

So, equation forms:

y=30+0.12x

Now, given is that In one month 217,000 messages were sent between two brothers in Philadelphia.

So, their approximate bill will be :

y=30+0.12(217000)

=>y=30+26040

=> y = 26070

Therefore, bill will be $26070.

5 0
3 years ago
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