8. If APTS – APQR, find the value of x.
5x + 13
T
36
Q
P
30
6x-2
-
S
R

Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Nails that are more than 0.02 inches from the mean are unusable, hence:

[tex]Z = \frac{0.02}{\sigma}[/tex]

[tex]Z = \frac{0.02}{0.009}[/tex]

[tex]Z = 2.22[/tex]

The proportion is P(|Z| > 2.22), which is 2 multiplied by the p-value of Z = -2.22.

Z = -2.22 has a p-value of 0.0132.

2 x 0.0132 = 0.0264

0.0264 x 100% = 2.64%

2.64% of all the nails produced by this machine are unusable.

You can learn more about the normal distribution at https://brainly.com/question/24663213

lmk if you're looking for point slope form but it's y =  2/5x - 3

Answer:

False

Step-by-step explanation:

Hope this helped

Answer:

I think it's 2 hours.

Hope that helps you. x

Step-by-step explanation:

180 newspapers can be delivered in 3 hours,

60 minutes are in 1 hour.

180 divided by 3 = 60

60 x 2 = 120.

So 120 newspapers can be delivered in 2 hours.

A) The number 0.66666667 as fraction is  = [tex]\frac{66666667}{100000000}[/tex]

B)  32 students prefer granola bars over muffins.

The total number of classmates = 48

The probability that a student says yes = 0.66666667

Note that 0.66666667 can also be written as [tex]\frac{0.66666667}{1}[/tex]

To convert 0.66666667 to fraction, multiply both the numerator and the denominator by 100000000

The probability that a student says yes = [tex]\frac{66666667}{100000000}[/tex]

Therefore, the number 0.66666667 as fraction is  = [tex]\frac{66666667}{100000000}[/tex]

Number of students that prefer granola bars over muffins = 0.66666667 x 48

Number of students that prefer granola bars over muffins = 32

Therefore, 32 students prefer granola bars over muffins.

Learn more on decimal to fraction conversion here: https://brainly.com/question/23038

Answer:

It will rain 48 inches in 12 hours.

Step-by-step explanation:

If for every hour it rains 4 inches, then to find how many inches it rained in 12 hours you just need to multiply the amount of hours by 4: 12 x 4 = 48

PLZ mark brainliest if I helped

Answer:

i think the answer is -> "the mean can be less than the minimum data value."

Step-by-step explanation:

mean means the average and by finding the average you need to add up all your set values then divide it, so with that being said the mean will always need to be higher than the lowest data set of value.

Andrew can reach a maximum of [tex]24.6ft[/tex] high up the wall.

The right-angled triangle formed can be solved using the [tex]sine[/tex] ratio. that is

[tex]sin(72^\circ})=\dfrac{h}{20}[/tex]

where [tex]h[/tex] is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for [tex]h[/tex], we get

[tex]0.9816=\dfrac{h}{20}\\\\h=20\times0.9816\\\\h=19.632ft[/tex]

Since Andrew can reach an extra [tex]5ft[/tex] above the point where the ladder rests against the wall, the maximum height Andrew can paint is

[tex](19.632+5)ft=24.632ft\\\\\approx24.6ft[/tex]

Another solved word problem on trigonometry can be found here: https://brainly.com/question/12146092

Multiply cost per yard by total yards:

7.99 x 12.4 = 99.08

Answer: $99.08

Answer:

c

Step-by-step explanation:

Answer:

The best answer is option C.

Step-by-step explanation:

Option A is a linear function, Option D is translating the non-linear function 4 units up but nowhere right or left, and I don't know about Option B...

Answer:

22

Step-by-step explanation:

2x+x-2=2x+9

3x-2=2x+9

x-2=9

x=11

MN=2x

MN=2(11)

MN=22

Answer:

6

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

3^-5 * 10^-5 * 125 / 5^-7 * 6^-5

= (125 / 5^-7) /  (3^5 *10^5 * 6^5)

= 0.0000516818 to  10 decimal places.

Answer:

The distance between these 2 points is 13.

Step-by-step explanation:

Picture the 2 points on a graph as a right triangle, where the hypotenuse of that right triangle is the distance between the points. It is very easy to find the length of the legs of that triangle, and you can use those legs to calculate the length of the hypotenuse.

First, find the vertical distance, or the distance between the y-coordinates. Either just look at a graph and count, or subtract them.

[tex]-6-6=-12[/tex]

Distance is an absolute value from 0, so -12 is the same as 12.

Next, find the horizontal distance between the x-coordinates.

[tex]1--4=5[/tex]

Now, we have the length of the legs, 5 and 12. Use the pythagorean theorem to find the length of the hypotenuse:

[tex]a^2+b^2=c^2\\5^2+12^2=c^2\\25+144=c^2\\c^2=169\\c=\sqrt{169}\\c=13[/tex]

The distance between these 2 points is 13.

Answer:

[tex]A = \frac{V}{QT}[/tex]

Step-by-step explanation:

To solve the problem you want to have A on one side, everything else on the other side. You can move over the variables by divind them from each side as shown:

[tex]AQT = V[/tex]

[tex]AQT = \frac{V}{1}[/tex]

[tex]AQ = \frac{V}{T}[/tex]

[tex]A = \frac{V}{QT}[/tex]

Answer:

3 * 1.25 = 3.75

Step-by-step explanation:

3.75 also equals 3 3/4

Step-by-step explanation:

FYT and UYF are supplementary angles (together they cover all angles around Y on one side of the line TU, and that's is in total 180°).

so,

FYT = 180 - 42 1/8 = 137 7/8°

as 180 - 42 = 138, and then we subtract another 1/8. that gives 137 7/8.

Answer:

Domain is undefined

Answer:

2. (3,4)

Step-by-step explanation:

The distance between two points is the number of units between them.

Halfway points (a) and (b)

To locate a point halfway points (a) and (b), we use the following steps

Assume the smaller value is (a), the point (P) halfway points (a) and (b) would be

[tex]P = a + \frac{|a - b|}{2}[/tex]

Take for instance, a = 5, and b = 10.

The halfway point would be:

[tex]P = 5 + \frac{|5 - 10|}{2}[/tex]

[tex]P = 5 + \frac{5}{2}[/tex]

[tex]P = 5 + 2.5[/tex]

[tex]P = 7.5[/tex]

The halfway point between 5 and 10 is 7.5

The formula works for negative values, and absolute values are used to return the actual difference between both points

Real world circumstance

The formula can be used to calculate the halfway distance between a school gate and the school library (as an instance)

Fractional distance

To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.

Take for instance, three-fourths from (a) to (b) would be:

[tex]P = a + \frac{3|a - b|}{4}[/tex]

Read more about distance at:

https://brainly.com/question/9935574

Answer:

1500 meters / second

Step-by-step explanation:

Speed = the magnitude of distance / time

Distance = 2,100 meters

Time = 1.4 seconds

Speed = 2,100 meters / 1.4 seconds = 1500 meters / second

Answer:A and D

Step-by-step explanation:

4*5r=20r

4*15t=60t

20*r = 20r

20*3t=60t

Answer:

16

Step-by-step explanation:

38 divided by 2 3/8 is 16 and 16 times 2 3/8 is 38

Answer:

3x+14x

Step-by-step explanation:

Answer:

 C

Step-by-step explanation:

Answer:

B. 2 Over 5

Step-by-step explanation:

The answer would be B   because 2 cups of chocolate to 5 cups of milk the ratio would be 2:5 and you can't put 5:2 because it's asking the ratio of chocolate milk to chocolate pudding not chocolate pudding to chocolate milk.

1 ,3, 1

The first one is 1 the second is 3 and the last one is 1

Answer:

  (b)

Step-by-step explanation:

The hundredths place is immediately to the left of the thousandths place. In our base-10 number system, moving a digit to the left one place increases its value by a factor of 10.

The value of 7 in the hundredths place is 10 times the value of 7 in the thousandths place.

Answer:

The value of the 7 in the hundredth place is 10 times​ the value of the 7 in the thousandth place.

Step-by-step explanation:

Answer:

It is a fraction -5/9

Step-by-step explanation: