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Tom [10]
3 years ago
12

Please help and show work ​

Mathematics
1 answer:
sveta [45]3 years ago
3 0

Answer:

Step-by-step explanation:

7^{2} +x^{2} =24^{2} \\49+x^{2} =576\\x^{2} =418\\x=\sqrt{418}

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the mean household income for a certain state is $71,000 with a standard deviation of $10,000 assuming a normal distribution abo
Vesnalui [34]

Answer:

About 95% of households have an income over $54,550

Step-by-step explanation:

95% is a probability of around 0.95

So we start by calculating the z-score with a probability of 0.95

We can use the standard normal distribution table for this

the z-score is -1.645

Mathematically;

z-score = (x-mean)/SD

-1.645 = (x-71,000)/10,000

10,000 * -1.645 = x-71,000

-16450 = x - 71000

x = 71,000 - 16450

x = 54,550

7 0
3 years ago
5 1/4 divided by 2/5
Mashcka [7]

Answer:

hello : divided by 2/5

Step-by-step explanation:

51/ 4 divided by 2/5 : (51/4)×(5/2) =255/8

8 0
3 years ago
Read 2 more answers
What equal x in this triangle
solong [7]
The sum of the alternate interior angles is equal to the angle given to you there. So basically, the sum of the angles INSIDE the triangle that aren't next to the outside angle are equal to that outside angle's measure.
You already know that one of the angles is a right angle, which is equal to 90 degrees, so subtract that from the outside angle to get the measure of x.
122-90=x
x=32
3 0
4 years ago
Read 2 more answers
107/16= what mixed fraction
serg [7]

Answer:

6.6875

Step-by-step explanation:

just divide 107 by 16

7 0
3 years ago
Read 2 more answers
on a deposit of $4,000 that earns 8% compound interest compounded annually how much will you have after 2 years​
NikAS [45]

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=4000\left(1+\frac{0.08}{1}\right)^{1\cdot 2}\implies A=4000(1.08)^2\implies A=4665.6

7 0
4 years ago
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