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3 years ago

A case of water has 24 bottles in it, & Connor needs 2/3 of it for a youth event. How many bottles does he need?

Mathematics

1 answer:

xeze [42]3 years ago

4 0

The answer is 16 because 16 is 2/3 of 24
It's not 8 because that's only 1/3

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The lenght of a triangle is 5 centimters greater than its width . the perimeter is 58 centimeters what are demetions of the rect

steposvetlana [31]

Let the width be x.

Length = 5 + x

Perimeter = 58

2(l + w) = 58

2(5 + x + x) = 58

2(5 + 2x) = 58

10 + 4x = 58

4x = 48

x = 12

Hence, the length is 17 cm and the width is 12 cm.

3 0

3 years ago

Part B

astra-53 [7]

Answer:

Rylee spent $25 for fuel at the gas station. This money is leaving her bank account, so represent the amount with a negative sign: -$25.

Step-by-step explanation:

None. the expression explains it.

7 0

3 years ago

A survey was conducted that asked 1003 1003 people how many books they had read in the past year. results indicated that x overb

kirill115 [55]

The confidence interval is

$10.5\pm1.35 = (9.15, 11.85)$ . This means that we can be 99% confident that the mean number of books people read lies between 9.15 and 11.85.

To find the confidence interval, we first find the z-score associated with it:

Convert 99% to a decimal: 0.99
Subtract from 1: 1-0.99=0.01
Divide by 2: 0.01/2 = 0.005
Subtract from 1: 1-0.005 = 0.995

Using a z-table (http://www.z-table.com) we see that this is associated with a z-score between 2.57 and 2.58. Since both are equally far from this value we will use 2.575.

We calculate the margin of error using

$ME=z*\frac{s}{\sqrt{n}}
\\
\\=2.575*\frac{16.6}{\sqrt{1003}}=1.35$

This means that the confidence interval is
$10.5\pm1.35$

The lower limit is given by 10.5-1.35 = 9.15.
The upper limit is given by 10.5+1.35 = 11.85

5 0

3 years ago

According to the Behavioral Risk Factor Surveillance System, 58% of all Americans adhere to a sedentary lifestyle (sedentary mea

sammy [17]

Answer:

Step-by-step explanation:

Hello!

The variable is X: number of sedentary people in a sample of 12.

This is a discrete variable with a binomial distribution and the probability of success is p=0.58. To determine if a variable has or not a binomial distribution you have to see if it follows the binomial criteria:

Binomial criteria:

1. The number of observation of the trial is fixed n=12

2. Each observation in the trial is independent, this means that none of the trials will affect the probability of the next trial. The activity habits on each person are independent of the others.

3. The probability of success in the same from one trial to another p=0.58

So X≈ Bi (n;ρ)

a. If you were to take a sample of n=12.

The expected value (mean) is E(X)= n*p= 0.58*12= 6.96

And the Standard deviation:

V(X)= n*p*q= 12*0.58*(1-0.58)= 2.92

√V(X)= 1.71

b. I'll calculate the probability of exactly 10 persons having sedentary habits using the table of cumulative probabilities, to do so, you have to look for the accumulated probability until 10 and subtract the accumulative probability until 9:

P(X=10) = P(X≤10) - P(X≤9)= 0.9859 - 0.9358= 0.050

I hope you have a SUPER day!

8 0

4 years ago

Determine if the two triangles are congruent. If they are, state how you know.

Elza [17]

Angle-side-angle is a rule used to prove whether a given set of triangles are congruent. The ASA rule states that: If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent

6 0

3 years ago