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kenny6666 [7]
3 years ago
10

Choose the statement that is true.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Answer: option A is correct

Step-by-step explanation:

The Standard Deviation Rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. It states that

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

Therefore, looking at the options, the true statement id

A) For a normal distribution, 99.7% of the distribution is within 3 standard deviations.

You might be interested in
A salesperson is paid a flat rate plus a fixed percentage of her sales. Last month, she sold $16,000 worth of goods and was paid
Feliz [49]

Answer:

<em>She will be paid $1,350</em>

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

y=mx+b, where m and b are constants.

The payments for a salesperson will be linearly modeled. There are two known points: When the sales were $16,000, the payment was $1,600. This makes the point (16,000;1,600).

We also know when the sales were $12,000, the payment was $1,400. The point is (12,000;1,400)

Let's use the points to find the values of m and b.

Using (16,000;1,600):

1,600=m*16,000+b

Using (12,000;1,400):

1,400=m*12,000+b

Subtracting both equations:

200=16,000m-12,000m

200=4,000m

Solving:

m=200/4,000=0.05

Using the first equation and the value of m:

1,600=0.05*16,000+b

1,600=800+b

Solving:

b=800

The equation is now complete:

y=0.05x+800

She sold $11,000 this month, so the payment is:

y=0.05\cdot 11,000+800

Y=550+800=1,350

She will be paid $1,350

3 0
3 years ago
Which equation has a graph that goes through the points (4, -6) and (0, 6)?
Ugo [173]

Answer:

y = -3x + 6\\

Step-by-step explanation:

Find the gradient of the equation

\frac{Difference in y}{Difference in x} \\\\\frac{6 - - 6}{0 - 4}  = \frac{12}{-4} = -3

The equation will have the gradient -3x

Use the general equation of a line, and substitute the coordinates in to find the y-intercept.

y = x + c\\ y = -3x + c\\

(4, -6)

-6 = -3(4) + c\\ -6 = -12 + c\\ -6 + 12 = c\\ c = 66 = -3(0) + c\\ 6 = 0 + c\\ c = 6

(0, 6)

6 = -3(0) + c\\ 6 = -0 + c\\ c = 6

The equation of the line is

y = -3x + 6\\

4 0
3 years ago
I need help please!!!!
Luba_88 [7]
The first two is wrong, the last two is one of the right ones, I think it’s c
3 0
3 years ago
The probability it will rain tomorrow is 1/2. The probability that our team will win tomorrow's basketball game is 3/5. Which ex
irga5000 [103]

Answer:

4.

Step-by-step explanation:

if the probability it win is 3/5 then 5/5 - 3/5 equals 2/5

which you multiply with 1/2

hope this helps

7 0
2 years ago
Ssssssspeedkbdcxceeeeeeeeeeeeeeeeeeeeee
Slav-nsk [51]
The denominator is 20

5X4= 20
8 0
3 years ago
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