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olga55 [171]
3 years ago
11

If AB is 8 feet, and BC is 6 feet, which is the length of AC?

Mathematics
2 answers:
Sergio039 [100]3 years ago
8 0
I think it might be 10.
Alina [70]3 years ago
4 0
8 squared plus 6 squared

64 + 36 = 100

Square root the 100 to get 10 .

The length of AC is a 10 feet
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Two cards are drawn without replacement from a standard deck of cards. What is the probability that the second one is a black ca
forsale [732]

Answer:

The probability is 169/2652

Step-by-step explanation:

The number of cards in a deck of cards is 52

In each deck of cards, there are 13 black cards and 13 spade cards

The probability of selecting a spade card will be;

13/52 = 1/4

Without replacement, we are left with 51 cards and the probability of selecting a black card will now be 13/51

So the probability of the second card being a black card if the first is spade will be ;

13/52 * 13/51

= 169/2,652

4 0
2 years ago
How would i calculate 1.9 minus 11/12?
Genrish500 [490]
Step 1) turn 1.9 into an improper fraction.

= 19/10

step 2) find a least common denominator between 10 and 12.

= 60
(10x6 and 12x5)

step 3) convert the fractions so they have the same denominator.

= 19x6 is 114.
10x6= 60.
= 11x5 is 55.
12x5 is 60.
now you have your new fractions.

step 4) subtract.

= 114/60 - 55/60 is 59/60.

step 5) simplify.

the answer is either 0.9833... (3 repeating) or just 59/60 (you can't simplify the fraction any further).
8 0
3 years ago
What would the answer for this question be
Yakvenalex [24]

THE ANSWER IS <u>SIN</u><u> </u><u>C</u><u> </u><u> </u><u>SOH</u><u> </u><u>OPPosit</u><u> </u><u>out</u><u> </u><u>of</u><u> </u><u>hypo</u>

5 0
3 years ago
Please help me find the area of each shaded segment and round the answer to the nearest tenth :)
Keith_Richards [23]
Hi there!

In order to solve, we need to use the formula for the area of a circle, and the angle given to find the area of the sector. Then, subtract the area of the triangle to find the area of the segment. We would use the equation : A = x/360 (pi * r^2) - 1/2(b * h). We need to plug in 90 for the angle measurement, 8 for the radius, and 8 for both the base and height. 

WORK:
A = 90/360 (pi * 64) - 1/2(64)
A = 1/4(64pi) - 32
A = 16pi - 32 = ~ 18.3ft^2

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

3 0
3 years ago
Toll Brothers is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 s
boyakko [2]

Answer:

Since the pvalue of the test is 0.09 > 0.01, we do not reject the null hypothesis that the average size of new homes is of 2400 square feet.

Step-by-step explanation:

Toll Brothers is a luxury home builder that would like to test the hypothesis that the average size of new homes exceeds 2,400 square feet. Test to see if the average size of new homes exceeds 2,400 square feet.

At the null hypothesis, we test if the average is of 2400 square feet, that is:

H_o: \mu = 2400

At the alternate hypothesis, we test if the average is greater than 2400 square feet, that is:

H_a: \mu > 2400

The test statistic is:

Since we have the standard deviation for the sample, we use the t-distribution.

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

2400 is tested at the null hypothesis:

This means that \mu = 2400

A random sample of 36 newly constructed homes had an average of 2,510 square feet with a sample standard deviation of 480 square feet.

This means that n = 36, X = 2510, s = 480

Test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{2510 - 2400}{\frac{480}{\sqrt{36}}}

t = 1.375

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a sample mean of at least 2510, which is the pvalue of t = 1.375 with 36 - 1 = 35 degrees of freedom, using a one-tailed test.

With the help of a calculator, this pvalue is of 0.09

Since the pvalue of the test is 0.09 > 0.01, we do not reject the null hypothesis that the average size of new homes is of 2400 square feet.

6 0
2 years ago
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