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3 years ago

What properties stay the same after a translation

Mathematics

1 answer:

morpeh [17]3 years ago

5 0

Angle Measures
Distance between two points

Collinearity

Points that are between points remain between the same points
Hope this helps! ;)

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4 years ago

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a student ran out of time on a multiple choice exam and randomly guess the answers for two problems each problem have four answe

katen-ka-za [31]

Answer:

The probability that he answered neither of the problems correctly is 0.0625.

Step-by-step explanation:

We are given that a student ran out of time on a multiple-choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer.

Let X = Number of problems correctly answered by a student.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r}\times p^{r}\times (1-p)^{n-r};x=0,1,2,3,....$

where, n = number of trials (samples) taken = 2 problems

r = number of success = neither of the problems are correct

p = probability of success which in our question is probability that

a student answer correctly, i.e; p = $\frac{1}{4}$ = 0.75.

So, X ~ Binom(n = 2, p = 0.75)

Now, the probability that he answered neither of the problems correctly is given by = P(X = 0)

P(X = 0) = $\binom{2}{0}\times 0.75^{0}\times (1-0.75)^{2-0}$

= $1 \times 1\times 0.25^{2}$

= 0.0625

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4 years ago

Three times a number plus three times a second number is fifteen. Four times the first plus twice the second number is fourteen.

Alexxx [7]

Answer:

x = 2 | y = 3. ( 2,3 )

Step-by-step explanation:

2(3x + 3y = 15)

6x + 6y = 30

3(4x + 2y = 14)

12x + 6y = 42

- 6x. -6y. -30

6x = 12

÷ 6. ÷6

x = 2

3x + 3y = 15

3(2) + 3y = 15

6 + 3y = 15

-6. -6

3y = 9

÷3. ÷3

y = 3

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3 years ago

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3 years ago

Four less than five times a number is equal to 11

Eddi Din [679]

The answer is 1 because is less than 5 and four so is

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