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3 years ago

Michael drove 303 miles using 15 gallons of gas. At this rate, how many miles would he drive using 16 gallons of gas?

Mathematics

1 answer:

Oksana_A [137]3 years ago

5 0

Answer:

323.2 miles

Step-by-step explanation:

Since the rate is constant, Michael will go 16/15 times as far on 16/15 times as much gas:

... (16/15)·303 miles = 323.2 miles

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Find the area A of the sector of a circle of radius 90 in formed by central angle 1/6 radian.

miv72 [106K]

Answer:

2121 $in^{2}$ Rounded to the nearest inch.

Step-by-step explanation:

A = $\pi r^{2}$ Is the formula for a circle, but we only have a portion of a circle so we will have to adjust the formula for a part of the circle.

A = $\frac{\frac{\pi }{6} }{2\pi }$ $\pi r^{2}$ The $\frac{\pi }{6}$ is the part of the circle and the whole circle is 2 $\pi$

$\frac{\frac{\pi }{6} }{2\pi }$ is the same as $\frac{\pi }{6}$ ÷ $\frac{2\pi }{1}$ Which is the same as $\frac{\pi }{6}$ x $\frac{1}{2\pi }$ Which is the same a $\frac{1}{12}$

A = $\frac{1}{12}$ $\pi$ $90^{2}$

A = $\frac{1}{12}$ (3.14)(90)(90) = 2119.5. When you use the $\pi$ on your calculator you get a slightly different number. This is due to rounding.

A = 2120.575041

5 0

1 year ago

Find the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject H0

Leviafan [203]

Answer: We do not reject the null hypothesis.

Step-by-step explanation:

When the p-value is greater than the significance level , then we do not reject the null hypothesis or if p-value is smaller than the significance level , then we reject the null hypothesis.

Given : Test statistic : $z = -2.28$

Significance level : $\alpha=0.02$

By using the standard normal distribution table ,

The p-value corresponds to the given test statistic ( two tailed ):-

$2P(Z>|z|)=2P(Z>2.28)=0.0226$

Since the p-value is greater than the significance level of 0.02.

Then , we do not reject the null hypothesis.

8 0

3 years ago

Please help me, I'm being timed

ki77a [65]

Answer:

1.5x=6

x=4

Step-by-step explanation:

The area is length times width so 1.5 times x is the correct equation. Make x equal to one by dividing both sides by 1.5. x=6/1.5. Simplify this to get x=4.

Please mark as brainliest

4 0

3 years ago

Three times a number decreased by 5 equals 10. Write the equation and find the number.

damaskus [11]

Answer:

3x - 5 = 10

Step-by-step explanation:

5 0

3 years ago

Find the values of the unknown angles marked with letters. 50 points!!!!!!!

IceJOKER [234]

Answer:

a = 115°, alternate interior angles are congruent
b = 70°, same as above
c = 180° - 115° = 65°, angles forming a straight angle are supplementary
d = 180° - 70° = 110°, same as above

3 0

3 years ago

Read 2 more answers