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3 years ago

Choose the equation below that represents the line passing through the point (-3,-1) with a slope of 4.

1 answer:

8 0

Y = mx + b
slope(m) = 4
(-3,-1)...x = -3 and y = -1
now we sub...we r looking for b, the y int.
-1 = 4(-3) + b
-1 = -12 + b
-1 + 12 = b
11 = b

so ur equation is : y = 4x + 11

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How long would it would take to travel 198 km at the rate of 36 km/h ?

djyliett [7]

Time = Distance ÷ Speed

= 198 km ÷ 36 km/h

= 5.5 h

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3 years ago

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4 years ago

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With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en

mrs_skeptik [129]

Answer:

0.9167 = 91.67% probability that the entire batch will be accepted

Step-by-step explanation:

The CDs are chosen without replacement, which means that the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

2100 write-rewrite CDs, and 60 are defective.

This means, respectively, that $N = 2100, k = 60$

3 of these CDs are randomly selected for testing

This means that $n = 3$

What is the probability that the entire batch will be accepted?

Probability of none defective, so P(X = 0).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,2100,3,60) = \frac{C_{60,0}*C_{2040,3}}{C_{2100,3}} = 0.9167$

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3 years ago

If g (x) = 3x²-4, then find g (-3)

Semenov [28]

Answer:

g(-3) = 23

Step-by-step explanation:

This question is telling us that x = -3. Knowing this, we can plug x into the equation and solve to find g(-3).

$g(-3) = 3(-3)^{2} -4$

$g(-3) =3(9)-4$ Square -3 to get 9

$g(-3) = 27-4$ Multiply 9 by 3 to get 27

$g(-3) = 23$ Subtract 4 from 27 to get 23

Thus, g(-3) is equal to 23.

I hope this helps! Good luck!

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2 years ago

When a survey was conducted among 100 students to find their favorite pizza topping, 45 students voted for pepperoni, 25 for mus

amm1812

Answer:

The central angle for the cheese sector would be 108 degrees.

Step-by-step explanation:

We know that a pi chart takes the form of a circle so the total angle measure is 360 degrees.

Now we want to find out what ratio of the pie chart that cheese takes up and apply it to the total degree measure.

30 of 100 students voted for cheese:

so the ratio would be 30/100 or 3/10

Now apply that to the total angle measure:

3/10*360 degrees= 108 degrees.

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3 years ago