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3 years ago

Whats the equation of a line that passes through (-6,2) andbuas a slope of -(1)/(2)

Mathematics

1 answer:

inysia [295]3 years ago

4 0

I believe your answers are...

Slope Intercept Form:

y= -2x+2

Point Slope Form:

y-2=-2(x-(-6))

Hope this helps.

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If it takes 15 gallons of gas to drive 330 miles how many miles can be driven using 20 gallon of gas

Iteru [2.4K]

15 / 330 = 20 / x...15 gal. to 330 miles = 20 gal to x miles
cross multiply because this is a proportion
(15)(x) = (20)(330)
15x = 6600
x = 6600/15
x = 440 <=== 20 gallons will take u 440 miles

3 0

3 years ago

16. A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours

Reika [66]

Answer:

a) 23.11% probability of making exactly four sales.

b) 1.38% probability of making no sales.

c) 16.78% probability of making exactly two sales.

d) The mean number of sales in the two-hour period is 3.6.

Step-by-step explanation:

For each phone call, there are only two possible outcomes. Either a sale is made, or it is not. The probability of a sale being made in a call is independent from other calls. So we use the binomial probability distribution to solve this question.

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.

A telemarketer makes six phone calls per hour and is able to make a sale on 30% of these contacts. During the next two hours, find:

Six calls per hour, 2 hours. So

$n = 2*6 = 12$

Sale on 30% of these calls, so $p = 0.3$

a. The probability of making exactly four sales.

This is P(X = 4).

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

$P(X = 4) = C_{12,4}.(0.3)^{4}.(0.7)^{8} = 0.2311$

23.11% probability of making exactly four sales.

b. The probability of making no sales.

This is P(X = 0).

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

$P(X = 0) = C_{12,0}.(0.3)^{0}.(0.7)^{12} = 0.0138$

1.38% probability of making no sales.

c. The probability of making exactly two sales.

This is P(X = 2).

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

$P(X = 2) = C_{12,2}.(0.3)^{2}.(0.7)^{10} = 0.1678$

16.78% probability of making exactly two sales.

d. The mean number of sales in the two-hour period.

The mean of the binomia distribution is

$E(X) = np$

$E(X) = 12*0.3 = 3.6$

The mean number of sales in the two-hour period is 3.6.

4 0

3 years ago

What is the greatest common factor of 3x^2-9x

sp2606 [1]

The answer is 3x.
Factor out 3x and u get 3x(x-3).

3 0

3 years ago

Area of the shaded segment=

garik1379 [7]

The area of the entire sector is $(\pi)(6^{2}) \left(\frac{60}{360} \right)=6\pi$

The area of the triangle OAB is $\frac{\sqrt{3}}{4}(6^{2})=9\sqrt{3}$ .

So, the area of the segment is $\boxed{6\pi-9\sqrt{3}}$

5 0

2 years ago

Find the equation (in terms of x ) of the line through the points (-5,-1) and (3,-4)

Nataly [62]

9514 1404 393

Answer:

y = -3/8x -23/8

Step-by-step explanation:

The slope is found using the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (-4 -(-1))/(3 -(-5)) = -3/8

Then the point-slope equation of the line is ...

y -k = m(x -h) . . . . line with slope m through point (h, k)

For m = -3/8 and (h, k) = (-5, -1), the line is ...

y +1 = -3/8(x +5)

In slope-intercept form, this is ...

y = -3/8x -23/8

4 0

3 years ago