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3 years ago

What is the perimeter and area of the figure

Mathematics

1 answer:

aleksandrvk [35]3 years ago

6 0

the perimeter is 35 and are is 40

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Choose the expression that represents the pattern of your sequence: 10, 20, 40, 80, ....

Angelina_Jolie [31]

It's multiplying by 2 each time 10 x 2 = 20, 20 x 2 = 40, 40 x 2 = 80.

8 0

3 years ago

Read 2 more answers

10 normal six sided dice are thrown.Find the probability of obtaining at least 8 failuresif a success is 5 or 6.

erastova [34]

Answer:

0.2992 = 29.92% probability of obtaining at least 8 failures.

Step-by-step explanation:

For each dice, there are only two possible outcomes. Either a failure is obtained, or a success is obtained. Trials are independent, which means that the binomial probability distribution is used 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.

A success is 5 or 6.

A dice has 6 sides, numbered 1 to 6. Since a success is 5 or 6, the other 4 numbers are failures, and the probability of failure is:

$p = \frac{4}{6} = 0.6667$

10 normal six sided dice are thrown.

This means that $n = 10$

Find the probability of obtaining at least 8 failures.

This is:

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)$

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

$P(X = 8) = C_{10,8}.(0.6667)^{8}.(0.3333)^{2} = 0.1951$

$P(X = 9) = C_{10,9}.(0.6667)^{9}.(0.3333)^{1} = 0.0867$

$P(X = 10) = C_{10,10}.(0.6667)^{10}.(0.3333)^{0} = 0.0174$

Then

$P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1951 + 0.0867 + 0.0174 = 0.2992$

0.2992 = 29.92% probability of obtaining at least 8 failures.

8 0

3 years ago

45.15 ÷ 21 pleases solve it for me

sergiy2304 [10]

Answer:

2.15

Step-by-step explanation:

5 0

3 years ago

the vertex of a triangle is located at (-2,3). it is rotated 90 degrees clockwise about the origin. what is the new y- coordinat

irina1246 [14]

Answer:

90° clockwise rotation rule (about the origin) for a point

Step-by-step explanation:

(x , y) → (y, -x)

Swap x and y......change the sign on x

Can you take it from here ???

5 0

2 years ago

The toatal charge on 6 is 48 units . what is the charge on each house

Vesna [10]

The charge on each house is 8 units

3 0

3 years ago