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pashok25 [27]
3 years ago
5

The ratio of the perimeters of two rectangles is 4 to 7. The perimeter of the larger rectangle is 42 inches. Solve for the perim

eter of the smaller rectangle. A. 10.5 inches B. 73.5 inches C. 28 inches D. 24 inches
Mathematics
2 answers:
Mars2501 [29]3 years ago
6 0
D. 24 inches is the answer
fiasKO [112]3 years ago
3 0
<span>Ratio of perimeter is 4 / 7 = 0.571428571
We have to find that which number divided by 42 will give 0.571428571
24/42 = 0.571428571
so , </span>D. 24 inches is the correct option.<span>

</span>
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Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract
lisov135 [29]

Answer:

P(X = 0) = 0.03125

P(X = 1) = 0.15625

P(X = 2) = 0.3125

P(X = 3) = 0.3125

P(X = 4) = 0.15625

P(X = 5) = 0.03125

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, which means that the binomial probability distribution is used 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.

Fair coin:

Equally as likely to be heads or tails, so p = 0.5

5 tosses:

This means that n = 5

Probability distribution:

Probability of each outcome, so:

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

P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125

P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625

P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125

P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125

P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625

P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125

5 0
2 years ago
Hey this is another question ill give you brainliest and 5 stars as well as a heart<br><br> Asap pls
Dmitrij [34]

Answer:

e = s×0.72

Step-by-step explanation:

we need to find how much does a 1 song costs

so, 2.16 ÷ 3 = 0.72 $

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2 years ago
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What is a function in math
murzikaleks [220]
A function<span> is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output.
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3 years ago
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Y=9x+4 is translated 4 units , what would be the equation on a graph?
denis-greek [22]
I noticed that this equation is in slope-intercept form (y = mx + b). M =  the slope of the line, B = the y-intercept.

If the line is translated (fancy, fancy, talk for MOVED) up. The Y-intercept would change positive (because it is moved up) by four.

4 + 4 equals...well, 8.

Hope I could help you out! If my answer is incorrect, or I provided an answer you were not looking for, please let me know.
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Have a good one.

God bless!
6 0
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What amount of money will accumulate to $192,400 in 6 years and 11 months at the interest rate of 5.36% compounded semi-annually
MaRussiya [10]

We will have the following:

\begin{gathered} 192400=A(1+\frac{0.0536}{2})^{(11/12)(2)}\Rightarrow A=\frac{192400}{(1+0.0536/2)^{(11/12)(2)}} \\  \\ \Rightarrow A=183293.7505...\Rightarrow A\approx18329375 \end{gathered}

So, the original quantity was approximately $183 293.75.

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