What is 11/10 converted to a percent

Fine the equation of the line through (o, -3) perpendicular to y =4x+4

svlad2 [7]

Answer:

The equation of the line is $y = -\frac{x}{4} - 3$

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept(the value of y when x = 0).

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

Line perpendicular to y = 4x + 4.

This line has slope 4, so our line will have slope:

$4m = -1$

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

So

$y = -\frac{x}{4} + b$

Through (0, -3)

This means that $b = -3$

So

$y = -\frac{x}{4} - 3$

8 0

3 years ago

a. Suppose a BMW dealer in Fullerton, CA is trying to calculate the probability of his car sale for next week. The dealer knows

egoroff_w [7]

Answer:

0.45576

Step-by-step explanation:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

Standard Deviation = √variance

Mean = 50

= √9

= 3

z = 51 - 50/3

= 0.11111

Probability value from Z-Table:

P(x<51) = 0.54424

P(x>51) = 1 - P(x<51)

= 1 - 0.54424

= 0.45576

The probability that the dealer will sell 51 or more cars is 0.45576

8 0

3 years ago

Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally

mariarad [96]

Answer:

a) 0.1587 (or 15.87%)

b) 0.0478 (or 4.78%)

c) 0.7935 (or 79.35%)

Step-by-step explanation:

Find the following probabilities:

(a) the thickness is less than 3.0 mm

We need to find the area under the Normal curve with a mean of 4.5 mm and a standard deviation of 1.5 mm to the left of 3 mm

<h3>(See picture 1 attached) </h3>

We can do that with the help of a calculator or a spreadsheet.

<em>In Excel use </em>

<em>NORMDIST(3,4.5,1.5,1) </em>

<em>In OpenOffice Calc use </em>

<em>NORMDIST(3;4.5;1.5;1) </em>

and we get the value 0.1587 (or 15.87%)

(b) the thickness is more than 7.0 mm

Now we need the area to the right of 7 (1 - the area to the left of 7)

<h3>(See picture 2 attached) </h3>

<em>In Excel use </em>

<em>1-NORMDIST(7,4.5,1.5,1) </em>

<em>In OpenOffice Calc use </em>

<em>1-NORMDIST(7;4.5;1.5;1) </em>

and we get the value 0.0478 (or 4.78%)

(c) the thickness is between 3.0 mm and 7.0 mm

We are looking for the area between 3 and 7

<h3>(See Picture 3) </h3>

Since the area under the Normal equals 1, we have

Area to the left of 3 + Area between 3 and 7 + Area to the right of 7 = 1

Hence,

0.1587 + Area between 3 and 7 + 0.0478 = 1

and

Area between 3 and 7 = 1 - 0.1587 - 0.0478 = 0.7935 (or 79.35%)

4 0

3 years ago

Read 2 more answers

For what value of x is the rational expression below undefined?

vivado [14]

The expression is undefined when C, x = 9.

The way that this expression can be undefined is if the denominator is 0 (dividing by 0 is undefined). To make the denominator 0, that means that 9 - x =0. That means that x = 9. So, when x = 9, the denominator is zero, meaning that the expression is undefined when C, x = 9.

8 0

3 years ago

In basketball, Shaquille makes 40% of his free throw attempts. He goes to the free throw line to shoot one-and-one (if he makes

melomori [17]

Shaqquille's expected value is 0.56 points.

Step-by-step explanation:

Situations:

1) he makes 1st shot + he makes 2nd shot

P(A) = 0.4 · 0.4 = 0.16 ( 16 % )

2) he makes 1 st shot + he misses 2nd shot

P(B) = 0.4 · 0.6 = 0.24 ( 24 % )

3) he misses 1st shot and he has no more attempts

P (C) = 0.6 ( 60 %)

0.16 · 2 + 0.24 · 1 + 0.6 · 0 = 0.32 + 0.34 = 0.56

The expected value is 0.56 points.

6 0

2 years ago