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madreJ [45]
4 years ago
9

the students in a science club planted a rectangular flower garden in front of their school. the garden is 6 feet wide and has a

diagonal length of 10 feet. What is x the length in feet of the garden. PLEASE HELP ME
Mathematics
2 answers:
Cloud [144]4 years ago
8 0
For this case we can pose the problem as a rectangle triangle.
 We know the hypotenuse and one side of the triangle.
 Therefore, the other side is given by:
 10 ^ 2 = 6 ^ 2 + x ^ 2
 Clearing x we have:
 x ^ 2 = 10 ^ 2-6 ^ 2
 x = root (10 ^ 2-6 ^ 2)
 x = 8 feet
 Answer:
 The length in feet of the garden is:
 x = 8 feet
Charra [1.4K]4 years ago
3 0

the correct answer is x=8

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3 years ago
According to a survey by the Administrative Management Society, one-half of U.S. companies give employees 4 weeks of vacation af
andreyandreev [35.5K]

Answer:

a

P(2\leq X\leq 5)=0.875

b

P(X

Step-by-step explanation:

Let the random X variable representing the 6 companies that give 4 weeks of vacation after 15 years of employment:

-let p=0.5 be the probability of vacation. Since the companies are independent, X assumes a binomial random variable:P(X=x)=b(x;6,0.5)\\\\={6 \choose x}(0.5)^x(0.5)^{6-x}\\\\={6 \choose x}(0.5)^6, \ x=0,1,2,3...\ \ \ eqtn1

#Probability that the number of companies that give vacation is anywhere from 2 to 5:

We use equation 1;

P(2\leq X\leq 5)=P(X=2)+P(X=3)+P(X=4)+P(X=5)\\\\={6 \choose 2}(0.5)^6+{6 \choose 3}(0.5)^6{6 \choose 4}(0.5)^6+{6 \choose 5}(0.5)^6\\\\=0.0156(15+20+15+6)\\\\=0.875

Hence the probability that between 2 and 5 companies give vacation is 0.875

b. The probability that fewer than 3 companies give vacation is calculated as:

From equation one we get:

P(X

Hence the probability that less than three companies give vacation is 0.3432

3 0
3 years ago
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wariber [46]

Answer:

-6

Step-by-step explanation:

2(-1-2)=-6

5 0
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shusha [124]
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Answer:

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Step-by-step explanation:

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