Factor the common expression: 2x + 4 =

Answer:

0.30

Step-by-step explanation:

Probability of stopping at first signal = 0.36 ;

P(stop 1) = P(x) = 0.36

Probability of stopping at second signal = 0.54;

P(stop 2) = P(y) = 0.54

Probability of stopping at atleast one of the two signals:

P(x U y) = 0.6

Stopping at both signals :

P(xny) = p(x) + p(y) - p(xUy)

P(xny) = 0.36 + 0.54 - 0.6

P(xny) = 0.3

Stopping at x but not y

P(x n y') = P(x) - P(xny) = 0.36 - 0.3 = 0.06

Stopping at y but not x

P(y n x') = P(y) - P(xny) = 0.54 - 0.3 = 0.24

Probability of stopping at exactly 1 signal :

P(x n y') or P(y n x') = 0.06 + 0.24 = 0.30

Answer:

The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96*\frac{5}{\sqrt{64}} = 1.225[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 42 - 1.225 = 40.775 minutes

The upper end of the interval is the sample mean added to M. So it is 42 + 1.225 = 43.225 minutes

The 95% confidence interval for the mean installation time is between 40.775 minutes and 43.225 minutes. This means that for all instalations, in different computers, we are 95% sure that the mean time for installation will be in this interval.

The 95% confidence interval for the mean installation time is (40.775, 43.225) and this can be determined by using the formula of margin of error.

Given :

The following steps can be used in order to determine the 95% confidence interval for the mean installation time:

Step 1 - The formula of margin of error can be used in order to determine the 95% confidence interval.

[tex]M = z \times \dfrac{\sigma}{\sqrt{n} }[/tex]

where z is the z-score, [tex]\sigma[/tex] is the standard deviation, and the sample size is n.

Step 2 - Now, substitute the values of z, [tex]\sigma[/tex], and n in the above formula.

[tex]M = 1.96 \times \dfrac{5}{\sqrt{64} }[/tex]

[tex]M = 1.225[/tex]

Step 3 - So, the 95% confidence interval is given by (M - [tex]\mu[/tex], M + [tex]\mu[/tex]) that is (40.775, 43.225).

The 95% confidence interval for the mean installation time is (40.775, 43.225).

For more information, refer to the link given below:

https://brainly.com/question/6979326

Answer:

C. 5x^2 - 8x + 13

Step-by-step explanation:

Answer:

20x?

Step-by-step explanation:

Answer:

it will = 17+3x. hope it helps

Answer:

(1, -1), (1, -2), (2, -3), (2, -4)

NO

Step-by-step explanation:

✔️Each ordered pair is written as (input, output).

Thus, we would have the following:

(1, -1), (1, -2), (2, -3), (2, -4)

✔️This cannot be a function because every input value do not have exactly one output value related to it. A function should not have an input value related to more than one output value.

So, the answer is NO. It is not a function.

Answer:19.2

Step-by-step explanation:

Answer:

I think it's true

Step-by-step explanation:

Answer: this is true

Step-by-step explanation:

The term out of is express as a fraction

Example:

1/2

This is 1 out of 2

Hope this helps ;)

Answer:

it would be B

Step-by-step explanation:

Answer:

The domain of a composite function f(g(x)) f ( g ( x ) ) is the set of those inputs x in the domain of g for which g(x) is in the domain of f .

Answer:

70

Step-by-step explanation:

Given that:

There are twelve (12) lines in a direction and another nine 9 lines in another direction.

If we draw the above illustration out, we will realize that we will have 11 squares by 8 squares.

i.e these 11 squares are 11 inches apart.

Hence, the length of their grid = 11  inches × 11 inches = 121  inches²

Thus, for 12 in by 12 in tiles; we will have:

= [tex]\dfrac {121}{12}[/tex]

= [tex]10 \dfrac{1}{12}[/tex]

This implies that there are 10 files with just [tex]\dfrac{1}{2}[/tex] inch gap in length.

Similarly, for 8 squares and 11 inches apart;

The width = 8 inches × 11 inches = 88 inches²

Thus; the 12 in tiles needed = [tex]\dfrac{88}{12}[/tex]

= [tex]7 \dfrac{1}{3}[/tex]

It signifies that there are 7 tiles with [tex]\dfrac{1}{3}[/tex] inch gap in width.

Thus, the least number of tiles required = 10 × 7 = 70

Answer:

y -y1= m(x-x1)  is in point slope form

y --9 = -2 (x-10)

y+9 = -2(x-10)

Step-by-step explanation:

HOPE THIS HELPS!!!

Answer:

x=7.5

Step-by-step explanation:

Since AD II EH, ∠CBD=∠BFH (alternate angles)

2x+60=10x

8x=60

x=7.5

Answer:

x = 7.5

each angle measures 75°

Step-by-step explanation:

the two angles are corresponding, meaning they are equal

10x = 2x + 60

8x = 60

x = 7.5

Answer:the lost the war

Step-by-step explanation:

Answer:

one tin of cheese $23

one tin of caramel $27

Step-by-step explanation:

let 'x' = cost of cheese tin

let 'y' = cost of caramel tin

10x + 8y = 446

22x + 11y = 803

i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms

  -110x - 88y = -4906

+  176x + 88y = 6424

    66x = 1518

     x = 1518 / 66

     x = 23

find 'y':  10(23) + 8y = 446

             230 + 8y = 446

              8y = 216

               y = 27

Answer:

691,255(0.985)t ≤ 621,859; t ≥ 7

Step-by-step explanation:

i just did it. it was C

Answer:

Yes it is corect,

C

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

From the sequence it is obvious that the next number was simply the addition of 13, so by adding 13 to 36 we get 49

Answer:

h - 18 = 67

Step-by-step explanation:

If h is her height, then her height minus 18 is 67, or h - 18 = 67

Answer:

67 = h - 18

Step-by-step explanation:

Sry I meant h-18 = 67

Answer: D 35/100

Step-by-step explanation: if you divide 35/100, the answer would be .35, which is the decimal form of 35%.

Answer:

99 / 324,870 or 3%

Step-by-step explanation:

there are 12 face cards out of a total of 52 cards

probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]

The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Since 5 cards are drawn at random from a standard deck

Also, we know that

there are 12 face cards out of a total of 52 cards

So here the probability be like

[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]

= [tex]99 / 324,870[/tex]

Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Learn more about probability here: https://brainly.com/question/21102470

Answer:

Step-by-step explanation:

just add 36 and 3

Answer:

c

Step-by-step explanation:

because all the x values in c are different

Answer:

A. Cendric is correct because he used the inverse of subtraction and added 4.5

Step-by-step explanation:

To solve for x, all we needed to do was to make x stand alone. To do this, we have to apply addition property of equality. This means we would add 4.5 to both sides for the equation to balance. Thus, we would have z standing alone which equals 3.

Therefore, Cendric was correct because he used the inverse of subtraction of -4.5, which is 4.5 that was later added to both sides of the equation.

Answer:

21,656

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

18 × 2 = 36

Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg