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2 years ago

The football team gained 8 yards on the first play. Lost 6 yards on the next. Gained 3 yards on the

Mathematics

2 answers:

Marrrta [24]2 years ago

8 0

Answer:

-7 yards

Step-by-step explanation:

Might help to line everything up

First play: gained 8 yards (+8)

Second play: lost 6 yards (-6)

Third play: gained 3 yards (+3)

Fourth play: lost 12 yards (-12)

Then put it all together and solve (I'll solve left to right):

(8-6)+3-12

(2+3)-12

5-12

-7

The final change in yardage was -7 yards

Aliun [14]2 years ago

5 0

The difference is negative seven I believe

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Prove the identity with steps.

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Remember that a double angle formula for cosine is
$\cos(2x)=\cos^{2}x-\sin^{2}x$

So
$\cos^{2}(2x)-\sin^{2}(2x)=\cos(4x)$
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4 0

3 years ago

On a map, the distance between two towns is 12 centimeters. If 3 centimeters represents 90 miles, what is the actual distance be

dolphi86 [110]

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3 years ago

In a recent survey of college professors, it was found that the average amount of money spent on entertainment each week was nor

Alenkinab [10]

Answer:

0.0918

Step-by-step explanation:

We know that the average amount of money spent on entertainment is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.

The mean and standard deviation of average spending of sample size 25 are

μxbar=μ=95.25

σxbar=σ/√n=27.32/√25=27.32/5=5.464.

So, the average spending of a sample of 25 randomly-selected professors is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.

The z-score associated with average spending $102.5

Z=[Xbar-μxbar]/σxbar

Z=[102.5-95.25]/5.464

Z=7.25/5.464

Z=1.3269=1.33

We have to find P(Xbar>102.5).

P(Xbar>102.5)=P(Z>1.33)

P(Xbar>102.5)=P(0<Z<∞)-P(0<Z<1.33)

P(Xbar>102.5)=0.5-0.4082

P(Xbar>102.5)=0.0918.

Thus, the probability that the average spending of a sample of 25 randomly-selected professors will exceed $102.5 is 0.0918.

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3 years ago

A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic met

ivanzaharov [21]

Answer:

2880

Step-by-step explanation:

V=whl=12·12·20=2880

3 0

2 years ago

Plz help me thank youuu

kobusy [5.1K]

You have to show the question more I can’t see the graph

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3 years ago