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vlada-n [284]
3 years ago
14

A triangle has the area of 1/2(4x^2+29x+30)ft^2. If the base of the triangle is (x+6) ft, find the height of the triangle.

Mathematics
1 answer:
Paul [167]3 years ago
3 0

Answer:

4x+5 ft

Step-by-step explanation:

1/2(4x²+29x+30) = 1/2 (x+6) * Height

Height = (4x²+29x+30) / (x+6) = (x+6) (4x+5) / (x+6) = 4x+5

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A test consists of 10 true/false questions. To pass the test a student must answer at least 88 questions correctly. If a student
Zanzabum

Answer:

The probability that the student is going to pass the test is 0.0545

Step-by-step explanation:

The variable that says the number of correct questions follows a Binomial distribution, because there are n identical and independent events with a probability p of success and a probability 1-p of fail. So, the probability of get x questions correct is:

P(x)=\frac{n!}{x!(n-x)!} *p^{x} *(1-p)^{n-x}

Where n is equal to 10 questions and p is the probability of get a correct answers, so p is equal to 1/2

Then, if the student pass the test with at least 8 questions correct, the probability P of that is:

P = P(8) + P(9) + P(10)

P=(\frac{10!}{8!(10-8)!}*0.5^{8}*(0.5)^{10-8})+(\frac{10!}{9!(10-9)!} *0.5^{9} *(0.5)^{10-9})+(\frac{10!}{10!(10-10)!} *0.5^{10} *(0.5)^{10-10})

P = 0.0439 + 0.0097 + 0.0009

P = 0.0545

8 0
3 years ago
Pls help me so I can pass
Naddika [18.5K]

Answer:

The slope of the line is constant. This is because all straight lines have a constant slope. The slope of this line is 1/3. When you use the legs to measure, the horizontal legs of the triangle, they increase in length by 3 units from the previous triangle. The vertical legs of the triangle also increase by 1 with each added triangle. Both of these observations support that the slope of the line is a constant 1/3.

Step-by-step explanation:

I know you were going to copy and paste so i put all above. Hope it helps you.

8 0
3 years ago
Read 2 more answers
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