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dmitriy555 [2]
3 years ago
10

The diagram shows a dilation of line AB

Mathematics
2 answers:
Orlov [11]3 years ago
7 0

Answer:

1. OA= 2.0 OA’= 3.0

2. OB= 3.0 OB’= 4.5

3. AB= 2.2 A’B’= 3.3

4. 1.5

5. 1.5

6. 1.5

horrorfan [7]3 years ago
3 0

Answer:

For e-2020 OA=2 units and Oa' = 3 units

Step-by-step explanation:

Ob=3.0 units

OB'= 4.5 units

Ab=2.2 units

AB'=3.3 units

Oa'/OA=1.5 units

Ob'/Ob=1.5 units

A'B'/AB= 1.5 units

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Triangles PQR and PST are similar to each other. Find the scale factor from the figure.
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2+3=5 and 4+1.5=2SO BY ADDIDING IS 9

4 0
2 years ago
A graduate class consists of six students. What is the probability that at least 5 of them are born either in April or in Octobe
nlexa [21]

Answer:

0.0671% probability that at least 5 of them are born either in April or in October

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they were born in April or October, or they were not. The probabilty of a student being born in April or October is independent of other students. 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.

Probability of a student being born in April or October

April has 30 days, October 31

The year has 365 days. So

p = \frac{61}{365} = 0.167

A graduate class consists of six students.

This means that n = 6

What is the probability that at least 5 of them are born either in April or in October?

P(X \geq 5) = P(X = 5) + P(X = 6)

In which

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

P(X = 5) = C_{6,5}.(0.167)^{5}.(0.833)^{1} = 0.000649

P(X = 6) = C_{6,6}.(0.167)^{6}.(0.833)^{0} = 0.000022

P(X \geq 5) = P(X = 5) + P(X = 6) = 0.000649 + 0.000022 = 0.000671

0.0671% probability that at least 5 of them are born either in April or in October

8 0
3 years ago
Find the factorization of 180
zheka24 [161]

Answer:

180=2^2×3^2×5

Step-by-step explanation:

We have to obtain the factors of 180 which are prime numbers

A prime number being a number with only 2 factors.That is 1 and the number itself.

For example 5 only has 2 factors 1 and 5⇒5=1×5

Here are the first few prime numbers

2,3,5,7,11,13,.....

A number which is not prime is a composite number. Composite numbers have more than 2 factors. All composite numbers can be expressed as a product of prime factors.

4 0
3 years ago
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What is 18 to the power of 3?
mariarad [96]

Answer:

5832

Step-by-step explanation:

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The ratio of red jellybeans to yellow jellybeans to blue jellybeans in a bowl is
miv72 [106K]

Answer:

see explanation

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4 0
3 years ago
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