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2 years ago

11

The base of the triangle is 4 inches longer than the length of one of the other sides. Use a system of equations to find the len

gth of each side of the triangle

1 answer:

Nikitich [7]2 years ago

8 0

Not enough information

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? X 1/4 = 1/3 <br><br> Need help please

ra1l [238]

Answer:

?= 4/3

Step-by-step explanation:

?×1/4=1/3

?/4=1/3

?=1/3×4

?=4/3

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3 years ago

True or false, the two triangles are congruent by ASA<br> O true<br> false

Helga [31]

True because it’s true

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2 years ago

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Determine measurements of data for the following numbers:

Leno4ka [110]

Answer: mean=87, median=87.5 and range=18

Step-by-step explanation:

Mean:

First add all the numbers

78+95+77+92+87+79+94+86+88+94 = 870

Then you divide the answer by counting the numbers

870÷10

=87

Median:

First arrange the numbers in ascending order (from smallest to largest)

77, 78, 79, 86, 87, 88, 92, 94, 94, 95

pick the two middle numbers which is 87 and 88

then you do $\frac{87+88}{2}$

= 175÷2

= 87.5

range = Largest number - smallest number

= 95-77

= 18

8 0

2 years ago

Multiplying Polynomials <br> -(2x – 9)?

olchik [2.2K]

-2x+9. just distribute a -1

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3 years ago

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In a binomial distribution, n = 8 and π=0.36. Find the probabilities of the following events. (Round your answers to 4 decimal p

skelet666 [1.2K]

Answer:

$\mathbf{P(X=5) =0.0888}$

P(x ≤ 5 ) = 0.9707

P ( x ≥ 6) = 0.0293

Step-by-step explanation:

The probability of a binomial mass distribution can be expressed with the formula:

$\mathtt{P(X=x) =(^{n}_{x} ) \ \pi^x \ (1-\pi)^{n-x}}$

$\mathtt{P(X=x) =(\dfrac{n!}{x!(n-x)!} ) \ \pi^x \ (1-\pi)^{n-x}}$

where;

n = 8 and π = 0.36

For x = 5

The probability $\mathtt{P(X=5) =(\dfrac{8!}{5!(8-5)!} ) \ 0.36^5 \ (1-0.36)^{8-5}}$

$\mathtt{P(X=5) =(\dfrac{8!}{5!(3)!} ) \ 0.36^5 \ (0.64)^{3}}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 \times 5!}{5!(3)!} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =(\dfrac{8 \times 7 \times 6 }{3 \times 2 \times 1} ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =({8 \times 7 } ) \times \ 0.0060466 \ \times 0.262144}$

$\mathtt{P(X=5) =0.0887645}$

$\mathbf{P(X=5) =0.0888}$ to 4 decimal places

b. x ≤ 5

The probability of P ( x ≤ 5) $\mathtt{P(x \leq 5) = P(x = 0)+ P(x = 1)+ P(x = 2)+ P(x = 3)+ P(x = 4)+ P(x = 5})$

${P(x \leq 5) = ( \dfrac{8!}{0!(8!)} \times (0.36)^0 \times (1-0.36)^8 \ ) + \dfrac{8!}{1!(7!)} \times (0.36)^1 \times (1-0.36)^7 \ +$ $\dfrac{8!}{2!(6!)} \times (0.36)^2 \times (1-0.36)^6 \ + \dfrac{8!}{3!(5!)} \times (0.36)^3 \times (1-0.36)^5 + \dfrac{8!}{4!(4!)} \times (0.36)^4 \times (1-0.36)^4 \ + \dfrac{8!}{5!(3!)} \times (0.36)^5 \times (1-0.36)^3 \ )$

P(x ≤ 5 ) = 0.0281+0.1267+0.2494+0.2805+0.1972+0.0888

P(x ≤ 5 ) = 0.9707

c. x ≥ 6

The probability of P ( x ≥ 6) = 1 - P( x ≤ 5 )

P ( x ≥ 6) = 1 - 0.9707

P ( x ≥ 6) = 0.0293

4 0

2 years ago