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mamaluj [8]
3 years ago
6

Which statement would be true if you evaluate the expression 15x(465x4)

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
4 0

Answer:

c. the solution is 3 times as large as 5x(465x4)

Step-by-step explanation:

I assume you are using the letter x as the multiplication sign.

Start with:

15 x (465 x 4)

We know that 15 = 3 x 5

Now we replace 15 with 3 x 5 in the original expression.

15 x (465 x 4) = 3 x 5 x (465 x 4)

Answer: c. the solution is 3 times as large as 5x(465x4)

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a student's work to distribute and simplify a radical is shown below. Select the statement which best applies to the sample math
weqwewe [10]
C), radicals siplified incorrectly
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3 years ago
Read 2 more answers
In order to ride a roller coaster,a rider must be greater than 49 inches tall.Right now,Jeff is 45 inches tall.Write an inequali
WARRIOR [948]

Answer:

Therefore, we conclude that the Jeff must grow 4 inches in order to ride the roller-coaster.

Step-by-step explanation:

We know that: in order to ride a roller coaster,a rider must be greater than 49 inches tall.Jeff is 45 inches tall.

We have the next  inequalitythats:

x+45>49\\\\x>49-45\\\\x>4\\

Therefore, we conclude that the Jeff must grow  4 inches in order to ride the roller-coaster.

4 0
3 years ago
A student takes an exam containing 1414 multiple choice questions. The probability of choosing a correct answer by knowledgeable
Readme [11.4K]

Answer:

0.0082 = 0.82% probability that he will pass

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the students guesses the correct answer, or he guesses the wrong answer. The probability of guessing the correct answer for a question is independent of other questions. 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.

In this problem we have that:

n = 14, p = 0.3.

If the student makes knowledgeable guesses, what is the probability that he will pass?

He needs to guess at least 9 answers correctly. So

P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)

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

P(X = 9) = C_{14,9}.(0.3)^{9}.(0.7)^{5} = 0.0066

P(X = 10) = C_{14,10}.(0.3)^{10}.(0.7)^{4} = 0.0014

P(X = 11) = C_{14,11}.(0.3)^{11}.(0.7)^{3} = 0.0002

P(X = 12) = C_{14,12}.(0.3)^{12}.(0.7)^{2} = 0.000024

P(X = 13) = C_{14,13}.(0.3)^{13}.(0.7)^{1} = 0.000002

P(X = 14) = C_{14,14}.(0.3)^{14}.(0.7)^{0} \cong 0

P(X \geq 9) = P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.0066 + 0.0014 + 0.0002 + 0.000024 + 0.000002 = 0.0082

0.0082 = 0.82% probability that he will pass

6 0
2 years ago
A certain building has a triangular shaped face to link up of the sides of the triangular base or 145 feet 257 feet in 290 feet
attashe74 [19]

Answer:

18617.66 ft^2

Step-by-step explanation:

sides of triangular base

a=  145ft  ,

b = 257ft ,

c =  290ft

<u>calculate the area of the base  </u>

The base is a scalene triangle hence the area is calculated as follows

s = ( a + b + c ) / 2

  = ( 145 + 257 + 290 ) / 2 = 346

Area of triangle = \sqrt{s(s-a)(s-b)(s-c)}  = \sqrt{346(201)(89)(56)}

                          = 18617.66 ft^2

3 0
2 years ago
Please help the game hates me
kiruha [24]

Answer:

negative

Step-by-step explanation:

a positive divided by a negative is a negative

8 0
2 years ago
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