He function f(d) = –3d + 60 gives the remaining life of a flashlight battery, in hours, d days after the start of a hike.

Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for

Tpy6a [65]

Answer:

B. Yuri divided by n instead of n-1

Step-by-step explanation:

It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,

σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n

Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.

3 0

3 years ago

A jar has 16 marbles, 10 green, 2 blue, 4 red. what is the probability of randomly choosing a red marble then without putting it

marta [7]

The probability of drawing a red marble and then a green marble is:

P = 1/6.

<h3>How to find the probability?</h3>

In the jar we have a total of 16 marbles, such that:

10 are green.
2 are blue
4 are red.

First, the probability of getting a red marble is give by the quotient between the number of red marbles and the total number of marbles:

p = 4/16 = 1/4

Now we need to draw a green one, the probability is computed in the same way, but this time there are 15 marbles, because we already took one.

q = 10/15

The joint probability (first drawing red, then green) is given by the product between the individual probabilities:

P = p*q = (1/4)*(10/15) = 10/60 = 1/6

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

8 0

2 years ago

What ratio is proportional to 18/21

Doss [256]

Answer:

There are many.

Step-by-step explanation:

When you say proportional, you are looking for a ratio that is equivalent to the ratio given. In your case, there are many so you might need to be more specific. But still, we can help you figure it out.

An easy way to do this would be to scale it down to its simplest form and then move upwards. To find proportional ratios, just multiply denominator and the denominator with the same factor.

$\dfrac{18}{21} = \dfrac{6}{7}$

That is your ratio in its simplest form. Now we can scale up, I'll show you how to do one completely:

$\dfrac{6}{7} x \dfrac{2}{2} = \dfrac{12}{14}$

That's the same ratio scaled up by a factor of 2.

---------------------------------------------------------------------------------------

$\dfrac{6}{7} x \dfrac{3}{3} = \dfrac{18}{21}$

That's the ratio given

---------------------------------------------------------------------------------------

$\dfrac{6}{7} x \dfrac{4}{4} = \dfrac{24}{28}$

Scaled up by a factor of 4

---------------------------------------------------------------------------------------

$\dfrac{6}{7} x \dfrac{5}{5} = \dfrac{30}{35}$

Scaled up by a factor of 5.

The list goes on and on.

3 0

3 years ago

If f(x) = –5x – 4 and g(x) = –3x – 2, find (f – g)(x).

erica [24]

Answer:

C. (f – g)(x) = –2x – 2

Step-by-step explanation:

(f – g)(x) = f(x) – g(x)

= (–5x – 4) – (–3x – 2)

= –2x – 2

3 0

3 years ago

Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer.

valentinak56 [21]

Answer:

1,225 miles = 77616000 inches

Step-by-step explanation:

It is asked to find the number of inches in 1,225 miles

Given

1 inch ≈ 1.578 × 10^-5 miles

Therefore, 1 mile = 63360 inches

Therefore, 1,225 miles = 1225 x 63360 inches

1,225 miles = 77616000 inches

or 1,225 miles = 7.7 x $10^{7}$ inches

Therefore the final answer is

1,225 miles = 77616000 inches

or 1,225 miles = 7.7 x $10^{7}$ inches

3 0

3 years ago