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3 years ago

Answer with explanation please!

Mathematics

1 answer:

Olenka [21]3 years ago

5 0

Answer:

5 3/4 ft squared

Step-by-step explanation:

youd find the area of each side by multiplying each length and width of each side. you then want to multiply by 2 because you have 2 of each side

3/4 × 1/2 × 2 = 3/4

2 × 3/4 × 2 = 3

2 × 1/2 × 2 = 2

then add the areas of each surface together

2+3+3/4 = 5 3/4

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Josie is training for a race. The ratio ofthe number of minutes she runs to thenumber of miles she runs is 24 to 3.She plans to

Tpy6a [65]

Answer:

80 minutes

Step-by-step explanation:

The ratio can be simplified and rewritten:

minutes : miles = 24 : 3 = 8 : 1 = 80 : 10

It will take Josie 80 minutes to run 10 miles at her 8 minutes/mile pace.

5 0

4 years ago

Solve 3^x − 2 = 3^7 A. 2 B. 5 C. 7 D. 9

Vikki [24]

Answer:

C) 7

Step-by-step explanation:

3^x−2=2187

Step 1: Add 2 to both sides.

3^x−2+2=2187+2

3^x=2189

Step 2: Solve Exponent.

3^x=2189

log(3x)=log(2189) <<Take log of both sides

x*(log(3))=log(2189)

x= log(2189)/log(3)

x=7.000832

4 0

3 years ago

According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. 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.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$

Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

8 0

3 years ago

The number of 7th graders attending Middle field Science Academy this year is 130% of last year’s total. If 500 7th graders atte

podryga [215]

Answer:

B. (100)(5)=500 C.(130)(5)=650 D.130/100= 650/500 E. There are 650 7th graders this year

Step-by-step explanation:

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6 0

3 years ago

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I'm depressed and bored can anyone talk but pls pls no harmful talk pls a request

Vlad [161]

Answer:

sure!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

How're you doing?

7 0

3 years ago