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MA_775_DIABLO [31]
2 years ago
15

Kira runs 6 miles in 50 minutes. At the same rate, how many miles would she run in 35 minutes?

Mathematics
2 answers:
SashulF [63]2 years ago
7 0

Answer: She runs about 4.2 miles.

Step-by-step explanation:

6/50 = x/35

6*35 = 50*x

210 = 50x

50x = 210

x = 210/50

x = 4.2

elixir [45]2 years ago
6 0

Answer:

2.9 miles

Step-by-step explanation:

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Briana drew a rectangle with a width 5 inches shorter than its length. She measured the perimeter of the rectangle and found it
Zigmanuir [339]
P = 2(L + W)
P = 14
W = L - 5

14 = 2(L + L - 5)
14 = 2(2L - 5)
14 = 4L - 10
14 + 10 = 4L
24 = 4L
24/4 = L
6 = L.......the length is 6 inches

W = L - 5
W = 6 - 5
W = 1 <=== the width is 1 inch
7 0
3 years ago
An experiment was conducted by some students to explore the nature of the relationship between a person's heart rate (measured i
tekilochka [14]

Answer:

A. factors.

Step-by-step explanation:

The correct option is - A. factors.

Reason -

The variables "stepping rate" and "step height" are the factors because a activity is performed in which stepping at one of the three stepping rates at one of the two possible heights for three minutes.

The activity is based on both the variables stepping rate and step height.

6 0
3 years ago
A group contains n men and n women. how many ways are there to arrange these people in a row if the men and women alternate?
Kobotan [32]

A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

Learn more about permutation here

brainly.com/question/1216161

#SPJ4

5 0
1 year ago
Brenda has $30. She gets $5 every time she takes out the trash. Which inequality can be used to find x, the number of times Bren
kobusy [5.1K]

Brenda has to take out the trash more than 4 times to have more than $50.

Step-by-step explanation:

Given,

Amount Brenda already have = $30

Amount she gets each time for throwing trash = $5

Amount she wants to have = More than $50

Let,

x be the number of times she throws trash.

Amount for throwing trash * Number of times trash thrown + Amount already have > Amount she wants to have

5*x+30>50\\5x>50-30\\5x>20

Dividing both sides by 5

\frac{5x}{5}>\frac{20}{5}\\x>4

Brenda has to take out the trash more than 4 times to have more than $50.

Keywords: variable, inequality

Learn more about variables at:

  • brainly.com/question/9969022
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#LearnwithBrainly

4 0
3 years ago
16. A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours
Reika [66]

Answer:

a) 23.11% probability of making exactly four sales.

b) 1.38% probability of making no sales.

c) 16.78% probability of making exactly two sales.

d) The mean number of sales in the two-hour period is 3.6.

Step-by-step explanation:

For each phone call, there are only two possible outcomes. Either a sale is made, or it is not. The probability of a sale being made in a call is independent from other calls. 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.

A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours, find:

Six calls per hour, 2 hours. So

n = 2*6 = 12

Sale on 30% of these calls, so p = 0.3

a. The probability of making exactly four sales.

This is P(X = 4).

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

P(X = 4) = C_{12,4}.(0.3)^{4}.(0.7)^{8} = 0.2311

23.11% probability of making exactly four sales.

b. The probability of making no sales.

This is P(X = 0).

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

P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138

1.38% probability of making no sales.

c. The probability of making exactly two sales.

This is P(X = 2).

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

P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678

16.78% probability of making exactly two sales.

d. The mean number of sales in the two-hour period.

The mean of the binomia distribution is

E(X) = np

So

E(X) = 12*0.3 = 3.6

The mean number of sales in the two-hour period is 3.6.

4 0
3 years ago
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