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Nesterboy [21]
3 years ago
14

Find the perimeter of following figure. 2 yd ,2yd ,5yd and 4 yd.

Mathematics
1 answer:
Gnesinka [82]3 years ago
5 0

Answer:

13yd

Step-by-step explanation:

Perimeter is all the side lengths added

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What is the focus of the following graph?
diamong [38]

Answer:

F(1,5)

Step-by-step explanation:

This is a vertical parabola.

The vertex is at (1,4).

The directrix is y=3.

The distance from the vertex to the directrix is p=1

The focus is (1,4+p), which is (1,4+1)

Therefore the focus is (1,5)

5 0
3 years ago
At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper
Korvikt [17]

Answer:

90.67% probability that John finds less than 7 golden sheets of paper

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.

This means that p = 0.3

14 of these containers of paper.

This means that n = 14

What is the probability that John finds less than 7 golden sheets of paper?

P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{14,0}.(0.3)^{0}.(0.7)^{14} = 0.0068

P(X = 1) = C_{14,1}.(0.3)^{1}.(0.7)^{13} = 0.0407

P(X = 2) = C_{14,2}.(0.3)^{2}.(0.7)^{12} = 0.1134

P(X = 3) = C_{14,3}.(0.3)^{3}.(0.7)^{11} = 0.1943

P(X = 4) = C_{14,4}.(0.3)^{4}.(0.7)^{10} = 0.2290

P(X = 5) = C_{14,5}.(0.3)^{5}.(0.7)^{9} = 0.1963

P(X = 6) = C_{14,6}.(0.3)^{6}.(0.7)^{8} = 0.1262

P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0068 + 0.0407 + 0.1134 + 0.1943 + 0.2290 + 0.1963 + 0.1262 = 0.9067

90.67% probability that John finds less than 7 golden sheets of paper

7 0
3 years ago
What is the slope of the line that passes through the points (10,-6) and (8, -16)?
gulaghasi [49]

Answer:

y = 5x -56

Step-by-step explanation:

Delta y over Delta x for slope. Plug in x = 0 for y int.

y = 5(0) -56

y = -56

8 0
3 years ago
Three sides of a quadrilateral are equal lengths. The length of the fourth side is 5 inches.
Korvikt [17]

Answer:

A

Step-by-step explanation:

x + x + x + 5 = 26

3x + 5 = 26

5 0
2 years ago
Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. the x-inte
wariber [46]

Step-by-step explanation:

Given x intercept is 1, So (x,y) is (1,0)

When x intercept is 1 then y  value is 0

Another point on the line is (-2,3)

Two points are (1,0) and (-2,3)

Find out slope using the two given points

slope m=\frac{y_{2}-y_1}{x_2-x_1} =\frac{3-0}{-2-1} =-1\\m=-1

Use point slope formula

m=-1 and point(1,0)

y-y_{1}=m(x-x_{1})\\y-0=-1(x-1)\\y=-1x+1

Point slope equation is

y-0=-1(x-1)

Equation of the line in slope intercept form is

y=-1x+1

7 0
4 years ago
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