Graph the line with x-intercept 9 and y-intercept 7.<br>What is the slope m of this line?

-6x - 7 is greater than or equal to - 19. Please guide me through the steps of this... I will give brainliest

3241004551 [841]

Answer:

x ≤ 2

Step-by-step explanation:

-6x - 7 ≥ -19

Add 7 to both sides: -6x ≥ -12

Divide both sides by 6: -x ≥ -2

Divide both sides by -1: x ≤ 2

When you divide by a negative, you have to switch the sign around (hence why I chose to do this in separate steps, so it's clearer)

7 0

2 years ago

Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone

Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of each system working:

4 components, which means that $n = 4$

Each has a 30% probability of failing, so $p = 1 - 0.3 = 0.7$

For the system to work, all 4 components have to work. This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401$

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so $n = 7$

0.2401 probability of a system working.

We have to find P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615$

16.15% probability that exactly 3 of them would function

5 0

3 years ago

A local food mart donates 20% of it's friday's sales to charity.

Digiron [165]

Answer:

$64

Step-by-step explanation:

We have been given that a local food mart donates 20% of it's Friday's sales to charity. This Friday the food mart had sales totaling 320.00 dollars.

To find the the amount donated to the charity, we will find 20% of $320.

$\text{The amount donated to the charity}=\$320\times\frac{20}{100}$

$\text{The amount donated to the charity}=\$320\times0.20$

$\text{The amount donated to the charity}=\$64$

Therefore, $64 were donated to the charity.

5 0

3 years ago

2. The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability th

coldgirl [10]

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

8 0

3 years ago

https://tex.z-dn.net/?f=%286%29%5C+%5C+%5C+f%28x%29%3Dax%5E2%5C+%5C+%5C+and%5C+%5C+%5C+f%282%29%3D48%5C%5C.%5C+%5C+%5C+%5CRighta

snow_tiger [21]

Answer:

What the what???????

4 0

3 years ago

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Graph the line with x-intercept 9 and y-intercept 7.What is the slope m of this line?​

Graph the line with x-intercept 9 and y-intercept 7.What is the slope m of this line?