The train at the amusement park is a scale model of a full-size train. A measure of 0.15 meter on the train at the amusement park represents 1 meter on the full-size train. The train at the amusment park is 21 meters long. What is the length of the full-size train in meters

Answers

Answer 1

Answer:

Answer:

The length of the full-size train is 140 meters.

Step-by-step explanation:

To determine the length of the full-size train, we will use the given relationship between the train at the amusement park and the full-size train.

From the question,

0.15 meter on the train at the amusement park represents 1 meter on the full-size train,

Let the length of the full-size train be x

Now,

If 0.15 meter on the train at the amusement park represents 1 meter on the full-size train

Then, 21 meters on the train at the amusement park will represent x meters on the full-size train

0.15 × x = 21 × 1

0.15x = 21

x = 21/0.15

x = 140 meters

Hence, the length of the full-size train is 140 meters.

Answer 2

Answer:

Answer:

140m

Step-by-step explanation:

0.15 × x = 21 × 1

0.15x = 21

x = 21/0.15

x = 140 meters

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If a certain medicine cures 90% of the people who take it, what is the probability that if 9 people take the medicine that 6 will be cured?A) 0.01
B) 0.02
C) 0.04
D) 0.33

Answers

This is an example of binomial distribution probability. The probability that a person gets cured by the medicine (p) is 90% or 0.9. The probability that a person does not get cured by the medicine (q) is 100 - 90 = 10% = 0.1. The probability of a binomial distribution is given by nCx (p)^x (q)^(n - x); where n is the sample size, x is the number of success, p is the probability of success, and q is the probability of failure. Therefore, the probability that out of 9 people that takes the medicine, 6 will be cured is given by 9C6 (0.9)^6 (0.1)^3 = 84 x 0.531441 x 0.001 = 0.0446. Therefore, option C (0.04) is the correct answer.

option C (0.04) is the correct answer

A 75.0 kg person steps on a scale in an elevator. The scale reads 761 N. What is the magnitude of the acceleration of the elevator?

Answers

You can use Newton's law, Resultant force=Mass×Acceleration.To find the acceleration take force over mass of the person which is 761N÷75.0kg.Hope this helps.

Which fraction represents the ratio 9 to 6 in simplest form?(Points : 1)

6
_
9

3
_
2

9
_
2

1
_
6

Answers

A fraction which represents the ratio 9 to 6 in simplest form is $(1)/(2)$ .

Given the following data:

Numerator = 9.

Denominator = 6.

What is a fraction?

A fraction is a numerical quantity that is not expressed as a whole number. Therefore, a fraction is simply a part of a whole number.

The parts of a fraction.

In Mathematics, a fraction comprises two (2) main parts and these include:

Numerator

Denominator

Next, we would divide the numerator by the denominator as follows:

$Ratio = (9)/(6)$

Simplifying further by dividing both sides by 3, we have:

$Ratio = (3)/(2)$

Read more on fractions here: brainly.com/question/368260

You have to divide both 9 & 6 by their greatest common factor which is 3 so the answer is 3
_
2

its cost 50 to make a bracelet and 1$ to make a necklace to make a profit the total cost for bracelets and necklaces must be less than 10$ the jeweler can make no more than 14 pieces of jewelry each day write a system of inequalities to model the number of bracelets and necklaces to be made each day

Answers

b + n ≤ 14 and .50b + 1n < 10 This is because the total number of bracelets added to the total number of necklaces made each day must be less than or equal to 14. Also, the price of each bracelet (.50b) added to the price of each necklace (1n) must be less than $10.

If 3^(2x1)=3^(x+5), what is the value of x?

Answers

Answer:

its -3

Step-by-step explanation:

since the bases are equal then the powers are equal

${3}^(2) = {3}^(x + 5) \n \n 2 = x + 5 \n x = - 3$

Drag a digit into each box. Evaluate your expression.Try to find the result closest to 0.

Record the value of your expression

Answers

Answer:

The value of the expression is 2

Step-by-step explanation:

Find the complete question in the attachment.

From the attachment, we are to rearrange the numbers 1, 2, 3, 4, 5 and 6 into the boxes given and get a number closer to zero.

The expression will be in the format below:

a•xⁿ - b(c+d)

Taking a= 1, x = 2, n = 5, b = 3, c=4 d= 6

On substituting

= 1•2^5 - 3(4+6)

= 1•(32) - 3(10)

= 32-30

= 2

Since 2 is greater than 0, hence the arrangements will be first box takes 1, second takes 2, third box takes 5, fourth box takes 3, fifth box takes 4 and sixth box takes 6.

Final answer:

The question relates to evaluating mathematical expressions by dragging digits into the provided box. An example could be the expression 3 - [ ], where placing 3 in the box results in a zero value.

Explanation:

This question is pertaining to mathematical expressions and the dragging of the digits to evaluate the expression. To provide a specific example, consider the expression 3 - [ ]. You would need to drag the digit 3 into the box to make the expression 3 - 3 which equals 0. The value of your expression, in this case, would be 0, which is closest to 0. This procedure can be repeated with any other digits and mathematical expressions depending on the options provided to you.

Learn more about Evaluating Mathematical Expressions here:

brainly.com/question/36413550

#SPJ3

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