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Molodets [167]
3 years ago
8

Describe fully the single transformation that maps triangle a onto triangle b

Mathematics
1 answer:
natali 33 [55]3 years ago
8 0

Answer:

A(4, 2) B(1;2)

Step-by-step explanation:

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It takes you 3/8 of a hour to walk 9/10 of a mile. How far can you walk in 2 hours?
harkovskaia [24]

Answer:

Velocity = distance / time

Velocity = (9/10) / (3/8)

Velocity = (9/10) * (8/3) = 72 / 30 =24 / 10 = 2.4 miles per hour

Therefore, you could walk 4.8 miles in 2 hours.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the solution for the variable X. 2x = 12​
Zina [86]

Answer:

x = 6

Step-by-step explanation:

12 / 2

= 6

2 x 6

=12

hope this was helpful! c:

4 0
3 years ago
6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the
shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem, we have that:

  • There are 6 students, hence n = 6.
  • There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

P(X \geq 2) = 1 - P(X < 2)

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

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

P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351

P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

6 0
2 years ago
B. To make salad dressing for the fruit salad, Mrs. Santos uses 2/4 cup oil, 1 cup orange juice, and 3/4 cup honey. How many cup
Ket [755]

Answer:

\sf 2 \frac14 \ cups

Step-by-step explanation:

Add the amounts together:

\sf \implies \dfrac24+1+\dfrac34

Convert the whole number 1 into a fraction with denominator 4:

\sf \implies \dfrac24+\dfrac44+\dfrac34

As all the denominators are the same, we can simply add the numerators:

\sf \implies \dfrac{2+4+3}4

\sf \implies \dfrac94

Finally, convert the improper fraction into a mixed number:

\sf \implies 2 \frac14 \ cups

5 0
2 years ago
Read 2 more answers
A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meter
Mandarinka [93]

Answer:1.32 s

Step-by-step explanation:

Given

The initial height of ball H=2 m

Initial velocity u=5 m/s

Height of ball at any instant is given by

H=-4.9t^2+5t+2

The ball will hit the ground when h=0

-4.9t^2+5t+2=0\\4.9t^2-5t-2=0\\t=\dfrac{5\pm\sqrt{25+4(4.9)(2)}}{2\times 4.9}\\t=\dfrac{5\pm\sqrt{64.2}}{9.8}\\t=\dfrac{5+8.01}{9.8}=1.32\ s\quad\text{Neglecting negative value of t}

3 0
2 years ago
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