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2 years ago

In a standard normal distribution, what z value corresponds to 17% of the data between the mean and the z value?

1 answer:

hjlf2 years ago

4 0

You're looking for a value $z$ such that

$\mathbb P(0$

Because the distribution is symmetric, the value of $z$ in either case will be the same.

Now, because the distribution is continuous, you have that

$0.17=\mathbb P(0$

The mean for the standard normal distribution is $0$ , and because the distribution is symmetric about its mean, it follows that $\mathbb P(Z$ .

$0.17=\mathbb P(Z$

You can consult a $z$ score table to find the corresponding score for this probability. It turns out to be $z\approx0.4399$ .

You might be interested in

Which of the following describes the graph of y = StartRoot negative 4 x minus 36 EndRoot compared to the parent square root fun

RoseWind [281]

Answer:

stretched by a factor of 2, reflected over the y-axis, and translated 9 units left

Step-by-step explanation:

The given function is $y=\sqrt{-4x-36}$

We can rewrite this function by factoring -4 in the radicand to get:

$y=\sqrt{-4(x+9)}$

We further simplify the square root of 4 to get:

$y=2\sqrt{-(x+9)$

The parent function is $y=\sqrt{x}$

When we compare to the parent function, there is a stretch by a factor of 2, reflection over the y-axis, and translation 9 units left

The last option is correct

3 0

2 years ago

Read 2 more answers

1. Darnell reads at a constant rate

JulsSmile [24]

Answer:

Darnell can read 1,715 words in 7 minutes

Step by step Explanation:

1. I need to find out how many words he reads in 1 minute. Divide 735 by 3, my answer is 245

245

______

3)735

6 bring down the 3 to make 13

-_____

1 3

12 bring down the 5 to make 15

-______

1 5

___________

2. multiply 735 by 2 cause he reads 735 words in 3 minutes and we are tryna find out how many words he reads in 7 minutes. 3×2=6, so 735+735 (735×2) equals 1470

3. Add 245, for that extra minute that we missed. my answer is 1,715 words in 7 minutes

8 0

2 years ago

What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that ap

Bond [772]

So the right options are:

$y=-\frac{2}{5}x-1$

$2x+5y = -5$

$y-1=-\frac{2}{5}(x+5)$

Further explanation:

Given equation of line is:

2x+5y=10

We have to convert it into point-slope form

$2x+5y=10\\5y=-2x+10\\Dividing\ both\ sides\ by\ 5\\y=-\frac{2}{5}x+\frac{10}{5}\\y=-\frac{2}{5}x+2$

The co-efficient of x is the slope of the line

So,

$m= -\frac{2}{5}$

As the required line is parallel to given line, it will also have same slope.

Let m1 be the slope of required line

Then the line will be:

$y=m_1x+b$

Putting the value of slope

$y=\frac{2}{5}x+b$

Putting (-5,1) in the equation to find the value of b

$1=-\frac{2}{5}(-5)+b\\1=2+b\\b=1-2\\b=-1$

Putting the values of slope and b in equation

$y=-\frac{2}{5}x-1$

Multiplying the whole equation by 5 will give us:

5y = -2x-5

2x+5y = -5

Another form of equation of line is Point-slope form

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

Putting the values of slope and point in the equation, we get

$y-1=-\frac{2}{5}(x+5)$

So the right options are:

$y=-\frac{2}{5}x-1$

$2x+5y = -5$

$y-1=-\frac{2}{5}(x+5)$

Keywords: Point-Slope form, Parallel lines

Learn more about point slope form at:

#LearnwithBrainly

4 0

2 years ago

Read 2 more answers

A friend asks to borrow $900 for three months and agrees to pay 5% simple interest per year. How much interest will you earn in

Talja [164]

Answer:

$11.25 intrest

Step-by-step explanation:

the amount times the months divided by 12 times the percent gives you the intrest

7 0

2 years ago

Five and nine tenths in expanded form and standard

nika2105 [10]

Answer:

5×1 +9×0.1
5.9

Step-by-step explanation:

The verbiage "five and nine tenths" can refer to the mixed number 5 9/10, or to the decimal in standard form, 5.9. Simply converting the phrase to a decimal gets you the standard form.

The expanded form can be written a number of ways, depending on how you like to show the place value multipliers. The simplest expanded form is simply the sum of the digits:

5 + 0.9

You can show the multipliers in standard form:

5×1 + 9×0.1

Or, you can show the multipliers in exponential form:

5×10⁰ +9×10⁻¹

3 0

2 years ago