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3 years ago

A rectangle is 5 inches high and 7 inches wide. what is the perimeter?

Mathematics

1 answer:

Travka [436]3 years ago

5 0

Answer:

24 inches

Step-by-step explanation:

The perimeter would be 2l + 2w

2(5) + 2(7)

24 inches

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A chemist wants to mix a 66% alcohol solution with eight liters of 54% alcohol solution to produce a solution that is 65% alcoho

Rzqust [24]

Answer:

We have 8 liters of 54% alcohol.

We will add "x" liters of 66% alcohol to make "8 +x" liters of 65% alcohol.

54 * 8 + 66 x = 65 (8 + x)

432 + 66x = 520 + 65x

x = 88 liters

Step-by-step explanation:

3 0

3 years ago

The University of Washington claims that it graduates 85% of its basketball players. An NCAA investigation about the graduation

Nonamiya [84]

Probabilities are used to determine the chances of events

The given parameters are:

Sample size: n = 20
Proportion: p = 85%

<h3>(a) What is the probability that 11 out of the 20 would graduate? </h3>

Using the binomial probability formula, we have:

$P(X = x) = ^nC_x p^x(1 - p)^{n -x}$

So, the equation becomes

$P(x = 11) = ^{20}C_{11} \times (85\%)^{11} \times (1 - 85\%)^{20 -11}$

This gives

$P(x = 11) = 167960 \times (0.85)^{11} \times 0.15^{9}$

$P(x = 11) = 0.0011$

Express as percentage

$P(x = 11) = 0.11\%$

Hence, the probability that 11 out of the 20 would graduate is 0.11%

<h3>(b) To what extent do you think the university’s claim is true?</h3>

The probability 0.11% is less than 50%.

Hence, the extent that the university’s claim is true is very low

<h3>(c) What is the probability that all 20 would graduate? </h3>

Using the binomial probability formula, we have:

$P(X = x) = ^nC_x p^x(1 - p)^{n -x}$

So, the equation becomes

$P(x = 20) = ^{20}C_{20} \times (85\%)^{20} \times (1 - 85\%)^{20 -20}$

This gives

$P(x = 20) = 1 \times (0.85)^{20} \times (0.15\%)^0$

$P(x = 20) = 0.0388$

Express as percentage

$P(x = 20) = 3.88\%$

Hence, the probability that all 20 would graduate is 3.88%

<h3>(d) The mean and the standard deviation</h3>

The mean is calculated as:

$\mu = np$

So, we have:

$\mu = 20 \times 85\%$

$\mu = 17$

The standard deviation is calculated as:

$\sigma = np(1 - p)$

So, we have:

$\sigma = 20 \times 85\% \times (1 - 85\%)$

$\sigma = 20 \times 0.85 \times 0.15$

$\sigma = 2.55$

Hence, the mean and the standard deviation are 17 and 2.55, respectively.

Read more about probabilities at:

brainly.com/question/15246027

8 0

2 years ago

What is 7.505 as a fraction

klemol [59]

1501 / 200

this is what i looked up an got

4 0

2 years ago

The angle marked a = 146 Work out the angle marked x.

notka56 [123]

Answer:

<h2>34 degrees</h2>

Basic facts:

<em>Corresponding angles are sometimes known as 'F' angles.</em>

angles in a straight line add up to 180

Step-by-step explanation:

To find the other side of <em>a</em> we follow the Basic fact annd do

180-146

=34

following the rule, we know that this is a flipped F

An F is a corresponding angle

therefore f is 34

5 0

2 years ago

Why would the law of cosines be used to solve for b in the triangle below? SAS is given, and the unknown measure, b, is a side l

Naddika [18.5K]

Answer:

it's a

Step-by-step explanation:

its a on edge

4 0

2 years ago

Read 2 more answers