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PtichkaEL [24]
3 years ago
12

Find the value of x in the polygon.

Mathematics
2 answers:
Finger [1]3 years ago
5 0

\huge\bold\red{Answer}

☑The diagram which is shown above is a rectangle.

✍ Perimeter= 60mm

✍ breadth = 5mm

➡ Perimeter of rectangle = 2(l+b)

✍ 60 = 2(l +5)

✍ 60/2 = l+5

✍ 30 - 5 = l

✍ 25 = l

☑ L = 25mm

❣..hope it helps you..❣

Sliva [168]3 years ago
4 0

Answer:

x = 25 mm

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w) where l is the length and w is the width

We know the perimeter is 60 mm and the width is 5 mm and the length is x

60 = 2(x +5)

Divide each side by 2

60/2 = 2/2(x+5)

30 = x+5

Subtract 5 from each side

30-5 = x+5-5

25 =x

x = 25 mm

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3 years ago
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 m
bezimeni [28]

Answer: 0.75

Step-by-step explanation:

Given : Interval for uniform distribution : [0 minute, 5 minutes]

The probability density function will be :-

f(x)=\dfrac{1}{5-0}=\dfrac{1}{5}=0.2\ \ ,\ 0

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

P(x>1.25)=\int^{5}_{1.25}f(x)\ dx\\\\=(0.2)[x]^{5}_{1.25}\\\\=(0.2)(5-1.25)=0.75

Hence,  the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes = 0.75

7 0
3 years ago
How is the graph of y=4(2)^x+3 translated from the graph of y=4(2)^x
Pie

Answer:

Vertical movement: Move up 3 units

or

Horizontal movement: Move left 3 units

Step-by-step explanation:

If your parent equation is f(x) = 4(2)^{x} and your child equation is f(x) = 4(2)^{x} + 3, then it has vertically moved up 3 units.

If your parent equation is f(x) = 4(2)^{x} and your child equation is f(x) = 4(2)^{x+3}, then it has moved horizontally left 3 units.

7 0
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Read 2 more answers
A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting
s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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)!}

In this question:

12 resistors, which means that N = 12

3 defective, which means that k = 3

4 are selected, which means that n = 4

To find an specific probability, that is, of x defectives:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}

7 0
3 years ago
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