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jeka94
3 years ago
13

a family went on vacation and used 5.4 gallons of gasoline to travel 150 miles how many total gallons of gassoline will they nee

d to travel 200 more miles
Mathematics
2 answers:
Vinil7 [7]3 years ago
8 0

150 / 5.4 = 27.7777 miles per gallon

200 / 27.7777 = 7.2 gallons

Elina [12.6K]3 years ago
8 0
Their consumption is 150 / 5.4  =  27.78  m p g
to travel 200 miles more they will need another 200/27.78 = 7.2 gallons

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Step-by-step explanation:

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4 years ago
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The ratio of the measure of the angles of a tirangle is 1:2:3. find the measure of each angle​
SIZIF [17.4K]

Answer:

30,60,90

Step-by-step explanation:

A triangle’s interior angles sum to 180.

1:2:3 ratio

180 divided by 6 (add up the ratio numbers)= 30. Use 30 in the ratios.

(30x1=30, 30x2=60, 30x3=90)

30,60,90

30+60+90=180 (add back up to make sure they sum to 180 to check your answer)

3 0
3 years ago
The diagram shows a regular dodecagon.Work out the size of one interior angle
nikdorinn [45]

Answer:

150°

Step-by-step explanation:

number of terms=12

sum of exterior angles=360

one exterior angle=360/12=30

interior angle=180-30=150°

5 0
3 years ago
What is the answer?1 2 3 4
Vesna [10]

Answer:

x = 52

Step-by-step explanation:

Vertical angles are angles that are opposite from each other.

According to the vertical angles theorem, vertical are are congruent. Therefore, if the angles opposite of x is 52 degrees, angle x also equal 52 degrees.

8 0
3 years ago
Use the fact that the mean of a geometric distribution is μ= 1 p and the variance is σ2= q p2. A daily number lottery chooses th
butalik [34]

Answer:

a). The mean = 1000

     The variance = 999,000

     The standard deviation = 999.4999

b). 1000 times , loss

Step-by-step explanation:

The mean of geometric distribution is given as , $\mu = \frac{1}{p}$

And the variance is given by, $\sigma ^2=\frac{q}{p^2}$

Given : $p=\frac{1}{1000}$

             = 0.001

The formulae of mean and variance are :

$\mu = \frac{1}{p}$

$\sigma ^2=\frac{q}{p^2}$

$\sigma ^2=\frac{1-p}{p^2}$

a). Mean =   $\mu = \frac{1}{p}$

              = $\mu = \frac{1}{0.001}$

              = 1000

  Variance =   $\sigma ^2=\frac{1-p}{p^2}$

                  = $\sigma ^2=\frac{1-0.001}{0.001^2}$

                           = 999,000

   The standard deviation is determined by the root of the variance.

    $\sigma = \sqrt{\sigma^2}$

        = $\sqrt{999,000}$ = 999.4999

b). We expect to have play lottery 1000  times to win, because the mean in part (a) is 1000.

When we win the profit is 500 - 1 = 499

When we lose, the profit is -1

Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).

$\mu=\Sigma\ x\ P(x)= 499 \times 0.001+(-1) \times (1-0.001)$

  = $ 0.50

Since the answer is negative, we are expected to make a loss.

4 0
3 years ago
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