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3 years ago

6

Which of the following statements are true? Check all that apply.

1 answer:

valentina_108 [34]3 years ago

7 0

Answer:The mean is affected by outliers.,

If a data set's distribution is skewed, then 95% of its values will fall between two standard deviations of the mean

Step-by-step explanation:

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I don't understand proportional relationship can u help?

Reptile [31]

Answer: I’ll explain it in simpler terms for you. A proportional relationship is one in which two quantities vary directly with each other. Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. An example of a proportional relationship is simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Hope this helps! :D

5 0

2 years ago

mamaluj [8]

Answer:

The maximum volume of space that 1,000 BTUs will cool is 400 cubic foot.

Step-by-step explanation:

Given : A total of 1,000 BTUs are needed to cool a space. If 2.5 BTUs are needed to cool 1 cubic foot of space.

To find : What is the maximum volume of space that 1,000 BTUs will cool?

Solution :

Applying unitary method,

2.5 BTU are needed to cool 1 cubic foot of space.

So, 1 BTU are needed to cool $\frac{1}{2.5}$ cubic foot of space.

Then,1000 BTU are needed to cool $\frac{1}{2.5}\times 1000$ cubic foot of space.

i.e. 1000 BTU are needed to cool 400 cubic foot of space.

Therefore, the maximum volume of space that 1,000 BTUs will cool is 400 cubic foot.

4 0

3 years ago

The equation of a parabola is 1/32 (y−2)2=x−1 .

Andru [333]

The given equation of parabola is

$\frac{1}{32} (y-2)^2 = x-1$

Which can also be written as

$x = \frac{1}{32} (y-2)^2 +1$

Here vertex (h,k) is (1,2)

And value of a is

$a = \frac{1}{32}$

Formula of focus is

$(h+ \frac{1}{4a} , k)$

Substituting the values of h,k and a, we will get

$(1+ \frac{1}{4*(1/32) } , 2} = (1+ 8,2) = (9,2)$

Therefore the correct option is the last option .

6 0

3 years ago

Read 2 more answers

A retailer buys a coat in bulk at a unit price of $45. The coat is marked up to 28% to sell in the store. What is the price of t

Amanda [17]

Answer:

57.60$

Step-by-step explanation:

45*.28=12.60

12.60 + 45= 57.60

3 0

3 years ago

Write an equation of the line passing through each of the following pairs of points.

slavikrds [6]

Answer:

$y=\frac{1}{3}+\frac{13}{3}$

Step-by-step explanation:

We want to write the equation of a line that passes through (5, 6) and (-1, 4).

First, let's find our slope. We can use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let's let (5, 6) be (x₁, y₁) and let's let (-1, 4) be (x₂, y₂). So, our slope is:

$m=\frac{4-6}{-1-5}$

Subtract:

$m=-2/-6$

Reduce:

$m=1/3$

So, our slope is 1/3.

Now, we can use the point-slope form, which is:

$y-y_1=m(x-x_1)$

For consistency, let's let (5, 6) be (x₁, y₁). We will also substitute 1/3 for m. So:

$y-6=\frac{1}{3}(x-5)$

Distribute:

$y-6=\frac{1}{3}x-\frac{5}{3}$

Add 6 to both sides:

$y=\frac{1}{3}x-\frac{5}{3}+\frac{18}{3}$

Add:

$y=\frac{1}{3}+\frac{13}{3}$

And we're done!

5 0

3 years ago