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2 years ago

What is the name for the triangle below?

Mathematics

1 answer:

tigry1 [53]2 years ago

3 0

Answer:

Step-by-step explanation:

- right because it has a 90-degree-angle

- and isosceles because it has two equal sides (the two marked ones - congruent sides)

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Emergency 911 calls to a small municipality in Idaho come in at the rate of one every two minutes. Assume that the number of 911

nordsb [41]

Answer: a) 30, b) 0.2138, c) 0.0820

Step-by-step explanation:

Since we have given that

X be the number of calls in 1 hour = 60 minutes

Rate of one call every two minutes.

$\lambda=\dfrac{1}{2}$

(a) What is the expected number of 911 calls in one hour?

$\lambda=\dfrac{1}{2}\times 60=30$

(b) What is the probability of three 911 calls in five minutes? If required, round your answer to four decimal places.

$\lambda=\dfrac{1}{2}\times 5=2.5$

Number of calls = 3

So, P(X=3) is given by

$P(X=3)=\dfrac{e^{-\lambda}\lambda^x}{x!}\\\\P(X=3)=\dfrac{e^{-2.5}\times (2.5)^3}{3!}\\\\P(X=3)=0.2138$

(c) What is the probability of no 911 calls during a five-minute period? If required, round your answer to four decimal places.

$P(X=0)=\dfrac{e^{-2.5}(2.5)^0}{0!}=0.0820$

Hence, a) 30, b) 0.2138, c) 0.0820

4 0

3 years ago

Show me how you solve it

julia-pushkina [17]

Answer:

5^20

Step-by-step explanation:

Law of Exponent I

$\displaystyle \large{ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} }$

Therefore:

$\displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{8 - 3})^{4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{5})^{4} }$

Law of Exponent II

$\displaystyle \large{( {a}^{m} ) ^{n} = {a}^{m \times n} }$

Thus:

$\displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{8 - 3})^{4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = ({5}^{5})^{4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = {5}^{5 \times 4} } \\ \displaystyle \large{( \frac{ {5}^{8} }{ {5}^{3} } )^{4} = {5}^{20} }$

7 0

2 years ago

Can someone please help explain the steps? I'm having a hard time understanding the other answers to this question.

Amanda [17]

Answer:

(3,2)

Step-by-step explanation:

Y=-2x+8 equation 1

y=x-1 equation 2

x-1=-2x+8 substi y of second equation into y of first equation.

3x=9

x=3

solve for y by putting the x value into either equation

y=x-1

y=3-1

y=2

7 0

3 years ago

Find all the real square roots of –(9/16)

beks73 [17]

We are asked t determine the real square root of -(9/16). the square root of a negative number is an imaginary number hence the answer to this problem is A. no real root. If this number is a positive number, then the answer would have been +-3/4

7 0

3 years ago

Read 2 more answers

Pleaseeee help meeeee

Veseljchak [2.6K]

Answer:

x=-8

Step-by-step explanation:

1) remove the constant(number without variable) to do this, we must use the opposite operation(in our case, subtraction)

4x+1=-31

a) 4x+1-1=-31-1

4x=-32

b) remove the coefficient by doing the opposite operation(division in our case)

x=-8

7 0

2 years ago