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2 years ago

7

Two cars head toward each other from opposite ends of a freeway 2286 miles long. If the speed of the first car is 68 miles per h

our and the speed of the second car is 59 miles per hour, how long will it take before the cars pass each other? hours

1 answer:

exis [7]2 years ago

3 0

Answer:

Step-by-step explanation:

multiply 68*59

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The amount of soda dispensing machine pours into a can of soda is normally distributedwith a mean of 12 ounces and a standard de

kaheart [24]

Answer:

0.1056

Step-by-step explanation:

Mean(μ) = 12 ounce

Standard deviation (σ) = 0.2 ounce

P(x<11.75) = ???

Let x be the random variable for the amount of soda a machine will dispense.

Using normal distribution

Z = (x - μ) / σ

Z = (11.75 - 12) / 0.2

Z = (-0.25)/0.2

Z = -1.25

From the normal distribution table

1.28 is 0.3944

Φ(z) is the tabular value of z

Φ(z) = 0.3944

Recall that when Z is negative

P(x<a) = 0.5 - Φ(z)

P(x < 11.75) = 0.5 - 0.3944

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3 years ago

Which ordered pair is the best estimate of the solution of the system 3x+y=4 x-3y=4?

vovangra [49]

$3x+y=4\ \ \ \ \ \ ..............equation(1)\\x-3y=4\ \ \ \ \ \ ..............equation(2)\\\\ Using~equation~(2), \\\\
x-3y=4\\x=4+3y\\\\Now,\ using\ the\ value\ of\ x\ in\ equation\ (1),\ we\ get,\\\\(4+3y)-3y=4\\\\4=4$

Since all the variables cancel out and the coefficient equal to eachother, this system of equation has <u>infinitely many solutions!</u>

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3 years ago

- 3 ( n + 5 ) = 12<br> What is N?

lana66690 [7]

The answer will be n=-9

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2 years ago

G(x) = x to the power of 2 - 6 over 3x + 10 & g(4) = what over what

dalvyx [7]

Answer:

We have that:

$g(x) = \frac{x^2 - 6}{3*x + 10}$

And we want to find the value of g(4)

Then we are evaluating the function g(x) in x = 4, this means that we need to locate all the "x" in g(x), and replace them by 4.

If we do that, we get:

$g(4) = \frac{4^2 - 6}{3*4 + 10}$

Now we can just solve this to get:

$g(4) = \frac{4^2 - 6}{3*4 + 10} = \frac{16-6}{12-10} = \frac{10}{2} = 5$

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3 years ago

What is the volume of a cone with a height of 9.5 inches and a radius of 8 inches? Cone V = 1 3 Bh 1. Rewrite the formula for th

Nesterboy [21]

Answer:

636.4 in³

Step-by-step explanation:

Volume of a cone is given by:

$V = \frac{1}{3}\pi r^2 h$

where r is the radius of the base of the cone and h is its height.

It is given that, the radius of the base of the cone is, r = 8 in

The height of the cone is, h = 9.5

$\Rightarrow V = \frac{1}{3} \times 3.14 \times (8)^2 (9.5) = 636.4 in^3$

Thus, the volume of the cone is 636.4 in³

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3 years ago

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