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3 years ago

a hybrid car uses 1 gallon of gasoline to drive 54 miles. how many gallons of gas would be used to travel 162 miles

Mathematics

1 answer:

Firlakuza [10]3 years ago

7 0

Answer:

Step-by-step explanation:

162/54 = 3

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4x^2=27x+40<br> Solve by factoring

worty [1.4K]

Answer: hewo, there! your answer is below

x= -5/4

or x= 8

Step-by-step explanation:

step 1: Subtract 27x+40 from both sides.

4x2−(27x+40)=27x+40−(27x+40)

4x2−27x−40=0

Step 2: Factor left side of equation.

(4x+5)(x−8)=0

Step 3: Set factors equal to 0.

4x+5=0 or x−8=0

hope this helps you

have a great Day

Plz makr branilest

8 0

3 years ago

Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93

Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

$M = \frac{a + b}{2}$

The standard deviation of the uniform distribution is:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

Uniform distribution between 2.93 and 3.1 volts

This means that $a = 2.93, b = 3.1$ . So

Mean:

$M = \frac{2.93 + 3.1}{2} = 3.015$

Standard deviation:

$S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049$

What is the probability that a battery has a voltage less than 2.98?

$P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941$

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

6 0

3 years ago

a sporting good store received an order of 90 baseball caps, of which 18 were green. if 1 of the 90 caps is selected at random,

makvit [3.9K]

<span>Visualize that out of the 90 caps, how many were green? 18 were green. So how many were not green? 90 caps - 18 caps = 72 caps. That means 72 caps were not green in that sporting good order. Therefore, the probability of one cap selected at random from the total 90 caps will not be green will be 72/90 which is roughly 0.8 or 80 percent. </span>

4 0

4 years ago

Here is the picture I didn’t know how before lol

Hatshy [7]

6 ft i’m pretty sure

5 0

4 years ago

A plane at an altitude of 7000 feet is flying in the direction of an island. If the angle of elevation is 21 degrees from the pl

sleet_krkn [62]

Answer:

6,535.06 feet

Step-by-step explanation:

The set up is right angles

hypotenuse = 7000feet

angle of elevation = 21 degrees

Required

horizontal distance (adjacent)

Using SOH, CAH TOA trig identity

cos theta = adj/hyp

cos 21 = adj/7000

adj = 7000 cos 21

adj = 7000(0.9336)

adj = 6,535.06

Hence the HORIZONTAL distance until the plane flies over the island is 6,535.06 feet

5 0

3 years ago