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2 years ago

1 point

Mathematics

1 answer:

SashulF [63]2 years ago

5 0

Answer:

The length of the slide is 10 feet.

Step-by-step explanation:

To find the length of the slide you have to use the formula:

a^2 + b^2 = c^2 (^2 means squared)

In this case:

a= 6 and b=8 c= unknown

6 squared (6 times 6) is 36

8 squared (8 times 8) is 64

Add these two numbers to get:

36+64=100

6^2+8^2=100

However, the length of the slide in not 100 feet. In order to find the correct length you must find the square root of 100. Which is 10.

What number times itself equals 100? 10.

The length of the slide in 10 feet.

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aev [14]

You just simply the answer

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3 years ago

How much money does the average professional hockey fan spend on food at a single hockey game? That question was posed to 10 ra

Vinil7 [7]

Answer:

Now we have everything in order to replace into formula (1):

$18-2.262\frac{2.75}{\sqrt{10}}=16.03$

$18+2.262\frac{2.75}{\sqrt{10}}=19.97$

Step-by-step explanation:

Information given

$\bar X=18$ represent the sample mean

$\mu$ population mean (variable of interest)

s=2.75 represent the sample standard deviation

n=10 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=10-1=9$

The Confidence is 0.90 or 90%, the significance is $\alpha=0.1$ and $\alpha/2 =0.05$ , and the critical vaue would be $t_{\alpha/2}=2.262$

Now we have everything in order to replace into formula (1):

$18-2.262\frac{2.75}{\sqrt{10}}=16.03$

$18+2.262\frac{2.75}{\sqrt{10}}=19.97$

5 0

2 years ago

Select the correct answer.

Eva8 [605]

Answer:

Equation C: 5/8x + 2..5 = 3/8x + 1.5 + 1/4x

Step-by-step explanation:

Let us go through each of the equations one by one.

Equation A: $2.3y+2+3.1y=4.3y+1.6+1.1y+0.4$

This simplifies to

$5.4y+2=5.4y+2$

which has infinitely many solutions.

Equation B: $32x+25-21x=10x$

this simplifies to

$x+25=0$

$x=-25$

which is exactly one solution.

Equation C: $\frac{5}{8} x+2.5=\frac{3}{8}x+1.5+\frac{1}{4} x$

this simplifies to

$\frac{5}{8} x+2.5=\frac{5}{8} +1.5$

$2.5=1.5$

There's no way this is going to be possible; this equation has no solutions.

Equation D: $\frac{1}{3} x+\frac{1}{7} x=\frac{3}{7} x$

this gives

$\frac{1}{3} =\frac{2}{7} y$

$y=\frac{7}{6}$

which is exactly one solution.

Thus we see that it is equation C that has no solutions.

3 0

3 years ago

Consider the reduction of the complex figure with a scale factor of 1

Aleksandr [31]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Emily and Sarah had a total of $80. after Sarah spent 1/3 of her money and Emily spent $17, Emily had twice as much money as Sar

Phoenix [80]

<span> SO in total, Emily and Sarah had a total of 80 dollars in which Emily had twice as much as Sarah.
Let’s solve to find out how much their Money is.
=> Since the ratio of the given data is 2:1, 2 + 1 =3, so let’s divide 80 by 3
=> 80 / 3 = 26.667 ,
=> Emily has twice as this.
=> 26.667 * 2 = 53.33
=> Sarah has 26.67
Now, Sarah spent 1/3 of her money
=> 26.67 / 3 = 8.89 – her remaining money
Emily spent 17 dollars of her money
=> 53.33 – 17 = 36.33</span>

3 0

2 years ago