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suter [353]
3 years ago
12

Find x and y for the following problem.

Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0

Answer:

x = 5/4

y = 7/4

Step-by-step explanation:

The smaller triangle and the larger one are similar, so the sides are proportional.

(x+5)/5 = 10/8

x/5 + 1 = 1/4 + 1 . . . . . divide it out

x/5 = 1/4 . . . . . . . . . . .subtract 1

x = 5/4 . . . . . . . . . . . . multiply by 5

___

For y, you can do exactly the same computations, replacing every instance of 5 with a 7. Then you get ...

y = 7/4

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Select the correct answer.
tigry1 [53]

Answer:

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Step-by-step explanation:

Empirical Rule:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Mean $45.90, standard deviation $10.31.

Sample:

By the Central limit theorem, mean $45.90, standard deviation s = \frac{10.31}{\sqrt{400}} = \frac{10.31}{20} = 0.5155

Which interval can the branch manager be 95% certain that the sample mean will fall within?

By the Empirical Rule, within 2 standard deviations of the mean. So

45.90 - 2*0.5155 = $44.87

45.90 + 2*0.5155 = $46.93

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

6 0
2 years ago
Read 2 more answers
How much would I have to deposit now in order to have 150,000 in 18 years
Novosadov [1.4K]

Answer:

I think the answer is $41.66

Step-by-step explanation:

I found how many months it was, which was 216.

Divided 150,000 by 216, which was 694.44.

And lastly, I multiplied 694.44 by 0.06(the same as 6%) and that gave me 41.66.

3 0
3 years ago
andy has 9 math books and 6 reading books if he wants to distribute them evenly among some bookshelves so that each has the same
Musya8 [376]
Divide it up by 5 because 9+6=15

Or u could divide it up by 3
5 0
2 years ago
What fraction equals 48% in it’s simplest form
dmitriy555 [2]

Answer:

12/25

Step-by-step explanation:

48% is equal to 48/100

This can be simplified by dividing both the numerator and denominator by 4.

48/4=12

100/4=25

8 0
2 years ago
Read 2 more answers
For the data in the table, write an equation for the direct variation.
melisa1 [442]

The equation of direct variation is,

\begin{gathered} y=kx \\ k=\frac{y}{x} \end{gathered}

Substitute the values of <em>y</em> and <em>x</em>.

\begin{gathered} k=\frac{5.4}{4} \\ k=1.35 \end{gathered}

So, the obtained equation will be <em>y</em>=1.35(x).

Let's check with the values of <em>x</em>.

1) If <em>x</em>=4

\begin{gathered} y=1.35x \\ y=1.35(4) \\ y=5.4 \end{gathered}

2) If <em>x</em>=2

\begin{gathered} y=1.35x \\ y=1.35(2) \\ y=2.7 \end{gathered}

3) If <em>x</em>=-2

4 0
9 months ago
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