what is the slope line ​

Answer:

23 degrees

Step-by-step explanation:

You are given a right angle, which is 90 degrees. Part of the right angle is 67 degrees, so you do 90-67=23

Hope this helps ^^

Answer:

23 degrees

Step-by-step explanation:

This is because angle B and the angle that is 67 degrees are both apart of one right angle. We can solve this through a simple equation. 90 = x +67. Subtract 67 on both sides and you get X = 23 giving you the answer 23 degrees.

The question is incomplete. Here is the complete question.

The probability density function of the time to failure of an electronic component in a copier (in hours) is

                                              [tex]f(x)=\frac{e^{\frac{-x}{1000} }}{1000}[/tex]

for x > 0. Determine the probability that

a. A component lasts more than 3000 hours before failure.

b. A componenet fails in the interval from 1000 to 2000 hours.

c. A component fails before 1000 hours.

d. Determine the number of hours at which 10% of all components have failed.

Answer: a. P(x>3000) = 0.5

              b. P(1000<x<2000) = 0.2325

              c. P(x<1000) = 0.6321

              d. 105.4 hours

Step-by-step explanation: Probability Density Function is a function defining the probability of an outcome for a discrete random variable and is mathematically defined as the derivative of the distribution function.

So, probability function is given by:

P(a<x<b) = [tex]\int\limits^b_a {P(x)} \, dx[/tex]

Then, for the electronic component, probability will be:

P(a<x<b) = [tex]\int\limits^b_a {\frac{e^{\frac{-x}{1000} }}{1000} } \, dx[/tex]

P(a<x<b) = [tex]\frac{1000}{1000}.e^{\frac{-x}{1000} }[/tex]

P(a<x<b) = [tex]e^{\frac{-b}{1000} }-e^\frac{-a}{1000}[/tex]

a. For a component to last more than 3000 hours:

P(3000<x<∞) = [tex]e^{\frac{-3000}{1000} }-e^\frac{-a}{1000}[/tex]

Exponential equation to the infinity tends to zero, so:

P(3000<x<∞) = [tex]e^{-3}[/tex]

P(3000<x<∞) = 0.05

There is a probability of 5% of a component to last more than 3000 hours.

b. Probability between 1000 and 2000 hours:

P(1000<x<2000) = [tex]e^{\frac{-2000}{1000} }-e^\frac{-1000}{1000}[/tex]

P(1000<x<2000) = [tex]e^{-2}-e^{-1}[/tex]

P(1000<x<2000) = 0.2325

There is a probability of 23.25% of failure in that interval.

c. Probability of failing between 0 and 1000 hours:

P(0<x<1000) = [tex]e^{\frac{-1000}{1000} }-e^\frac{-0}{1000}[/tex]

P(0<x<1000) = [tex]e^{-1}-1[/tex]

P(0<x<1000) = 0.6321

There is a probability of 63.21% of failing before 1000 hours.

d. P(x) = [tex]e^{\frac{-b}{1000} }-e^\frac{-a}{1000}[/tex]

0.1 = [tex]1-e^\frac{-x}{1000}[/tex]

[tex]-e^{\frac{-x}{1000} }=-0.9[/tex]

[tex]{\frac{-x}{1000} }=ln0.9[/tex]

-x = -1000.ln(0.9)

x = 105.4

10% of the components will have failed at 105.4 hours.

Answer:

10-4x

Step-by-step explanation:

4×2-4x+2

8-4x+2 =10-4x

Answer:

5.50 + 20.50x

Step-by-step explanation:

hope its helps

Answer:

3/5

Step-by-step explanation:

Pick two points that are easy to read. pints that are easy to read are on the intersection of grid lines.

For example, pick (-2, 0) and (3, 3).

slope = rise/run

Rise is a vertical distance.

Run is a horizontal distance.

Start at (-2, 0). To go to (3, 3) by using only horizontal and vertical segments, go up 3 unit. Now go right 5 units.

The rise is 3. The runs is 5.

slope = rise/run = 3/5

Answer: 3/5

Answer:

[tex]y = 30 + 8x[/tex]

Step-by-step explanation:

Given

[tex]Base\ Amount = $30[/tex]

[tex]Additional = \$8[/tex] per pound

Required

Determine the graph

The cost (y) is calculated as thus:

[tex]y = Base\ Amount + Additional * x[/tex]

[tex]y = 30 + 8* x[/tex]

[tex]y = 30 + 8x[/tex]

See Attachment for graph

Answer:

9.9 or 9 9/10

Step-by-step explanation:

9x11=99

99/10 = 9.9 or 9 9/10

Answer:

let's see what to do buddy....

Step-by-step explanation:

The mean of the 10 values denoted x equals 7.4

So we have :

[tex] \frac{x(1) + x(2) + x(3) + ... + x(10)}{10} = 7.4 \\ [/tex]

Multiply the sides of the equation by 10 :

[tex]10 \times \frac{x(1) + x(2) + x(3) + ... + x(10)}{10} = 7.4 \times 10 \\ [/tex]

After do that we have :

[tex]x(1) + x(2) + x(3) + ... + x(10) = 74 \\ [/tex]

Which means we have the sum of all values.

And we're done...

Thanks for watching.

Hope to be useful ♥️♥️♥️♥️♥️.

Answer:

It would be dialating by a scale factor of 5 you can tell because you are multipllying (x,y) by 5

Work Shown:

1 gallon = 4 quarts .... think 4 quarters in a dollar

4*(1 gallon) = 4*(4 quarts) ... multiply both sides by 4

4 gallons = 16 quarts

Answer:

-32

Step-by-step explanation:

answer

Step-by-step explanation:

I think that A is 3:4

Answer:

A

Step-by-step explanation:

if f(x)=3x^2+2x g(x)=‒x^2+4x

f+g=(3x^2+2x)+(‒x^2+4x)

=3x^2‒x^2+4x+2x

=2x^2+6x

f‒g=(3x^2+2x)‒(‒x^2+4x)

=3x^2+2x+x^2‒4x

=3x^2+x^2+2x‒4x

=4x^2‒2x

i hope my answer will be clear to you

Answer:

3434

Step-by-step explanation:

The conclusion that should be made on the question using a significance level of α=0.05 is; Option A; Fail to reject H₀

We are given the hypotheses;

Null Hypothesis; H₀; p = 0.25

Alternative hypothesis; Hₐ; p > 0.25

p^ = 0.3

p-value = 0.068

Now, we are told that the significance level is α = 0.05

      Now, the law in hypotheses testing is that when the p-value is less tan or equal to the significance level, we will reject the null hypothesis but when the p-value is greater than the significance value, we fail to reject the null hypothesis(H₀)

Now, in our question the p-value of 0.068 is greater than the significance level of 0.05 and thus we will fail to reject the null hypothesis.

Read more at; https://brainly.com/question/17128186

Answer:

Step-by-step explanation:

30/34 is .8823 or .88 of a cookie

in 3 hours, she can make 2.647 or 2.7 of a cookie

The required number of cookies made in 3 hours is 2.64.

In order to solve a problem for two different values of a quantity, its unit value is first derived. This method is known as unitary method.

Given that,

The number of cookies made in 34 hour is 30.

Now, in order to calculate the number of cookies made in 3 hours unitary method can be used as follows,

In 34 hour the number of cookies = 30

In 1 hour the number of cookies = 30/34

Thus, in 3 hour the number of cookies = 30/34 × 3 = 2.64.

Hence, the number of cookies made with the given rate in 3 hours is 2.64.

To know more about unitary method click on,

https://brainly.com/question/28276953

#SPJ2

Answer:

A

Step-by-step explanation: They can't be greater so automatically it's less than 7 or equal too

Answer:

Numbers that can be expressed as a ratio of two number (p/q form) are termed as a rational number. Numbers that cannot be expressed as a ratio of two numbers are termed as an irrational number.

Step-by-step explanation:

Answer:

juan is 13

robert is 8

y=2x-3

Step-by-step explanation:

The equation might be wrong.

Good luck!

Answer:

1000

Step-by-step explanation:

Answer:

3x+1y=35

Step-by-step explanation:

In the future try to search the answer up because thats how i found it

Answer:

3x +y=35

Step-by-step explanation:

Plato

Answer:

i think 80

Step-by-step explanation:

Answer:

75+98/2

Step-by-step ex

The AVG with that problem is 86.5which is i between 85 and 90

Answer:

The answer to the problem is $3.072

[tex]\tt Step-by-step~explanation:[/tex]

We could see that the size of both images does not change, so it is not a dilation. The image is not mirrored either, so it is not a reflection. Finally, the image does not seem to change place that much from the preimage, so it should not be a translation, either. That means our answer is a rotation, because the image rotated about 180º.

[tex]\large\boxed{\tt Our~final~answer:~Rotation}[/tex]

Answer: 51

Step-by-step explanation:

Step 1: Replace x in y = 7x + 2 where x = 7.

y = 7(7) + 2.

Step 2: Solve the equation.

y = 49 + 2

y = 51

Answer: b

Step-by-step explanation: i took the quiz

Answer:

b = 5/4 miles

Step-by-step explanation:

Length of a rectangular playground, l = 1/2 miles

Area of the playground, A = 5/8 square miles

We need to find the width of the playground. We know that, the area of a rectangular shape is given by :

A = l×b, here b is the width of the playground.

[tex]b=\dfrac{A}{l}\\\\b=\dfrac{\dfrac{5}{8}}{\dfrac{1}{2}}\\\\b=\dfrac{5}{4}\ \text{miles}[/tex]

So, the width of the playground is 5/4 miles.

Answer:

that is a decimal

Step-by-step explanation:

Answer:

-3x+6

Step-by-step explanation:

Again, you multiply -3 times x and you get -3x, then you multiply -3 times -6 and since you are multiplying two negative numbers the result becomes positive so you get +6. Result = -3x+6