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SVEN [57.7K]
3 years ago
14

A country commits to decreasing spending for infrastructure in various ways at a rate of 30% per year. At the time of the

Mathematics
2 answers:
mojhsa [17]3 years ago
7 0

Answer:

Step-by-step explanation:

As the options are not given in the question, lets find the amount spend in next 6 years and make a graph of it. I hope it helps

For year = 0:

Total spending = $12 billion

For year = 1:

Total spending is decreased by 30% as compared to year = 0

Find 30%:

\frac{30}{100}\cdot12=3.6

Total spending = 12 - 3.6 = $8.4 billion

For year = 2:

Total spending is decreased by 30% as compared to year = 1

Find 30%:

\frac{30}{100}\cdot8.4=2.5

Total spending = 8.4 - 2.5 = $5.9 billion

For year = 3:

Total spending is decreased by 30% as compared to year = 2

Find 30%:

\frac{30}{100}\cdot5.9=1.77

Total spending = 5.9 - 1.77 = $4.13 billion

For year = 4:

Total spending is decreased by 30% as compared to year = 3

Find 30%:

\frac{30}{100}\cdot4.13=1.24

Total spending = 4.13 - 1.24 = $2.89 billion

For year = 5:

Total spending is decreased by 30% as compared to year = 4

Find 30%:

\frac{30}{100}\cdot2.89=0.87

Total spending = 2.89 - 0.87 = $2.02 billion

For year = 6:

Total spending is decreased by 30% as compared to year = 5

Find 30%:

\frac{30}{100}\cdot2.02= 0.6

Total spending = 2.02 - 0.60 = $1.42 billion

<h3>Graph:</h3>

x-axis = no. of year

y-axis = Total spending

Join the point to get the desired graph (see the picture)

<h3 />

vladimir2022 [97]3 years ago
6 0

Answer: D

Step-by-step explanation:

I got the answer right on Edge

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Two airplanes leave the airport. Plane A departs at a 44° angle from the runway, and plane B departs at a 40° angle from the run
lawyer [7]

Answer: Answer:

Plane B was farthest away from the airport

Step-by-step explanation:

"This question requires you to visualize the run way as the horizontal distance to be covered, the height from the ground as the height gained by the plane after take of and the distance from the airport as the displacement due to the angle of take off.

In plane A

The take-off angle is 44° and the height gained is 22 ft.

Apply the relationship for sine of an angle;

Sine Ф°= opposite side length÷hypotenuse side length

The opposite side length is the height gained by plane which is 22 ft

The angle is 44° and the distance the plane will be away from the airport after take-off will be represented by the value of hypotenuse

Applying the formula

sin Ф=O/H where O=length of the side opposite to angle 44° and H is the hypotenuse

In plane B

Angle of take-off =40°, height of plane=22miles finding the hypotenuse

Solution

After take-off and reaching a height of 22 ft from the ground, plane A will be 31.67 miles from the airport

After take-off and reaching a height of 22 ft from the ground, plane B will be 34.23 miles away from the airport."

Excerpt from Brainly

3 0
2 years ago
Read 2 more answers
An article written for a magazine claims that 78% of the magazine's subscribers report eating healthily the previous day. Suppos
Schach [20]

Answer:

89.44% probability that less than 80% of the sample would report eating healthily the previous day

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.78, n = 675

So

\mu = E(X) = np = 675*0.78 = 526.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{675*0.78*0.22} = 10.76

What is the approximate probability that less than 80% of the sample would report eating healthily the previous day?

This is the pvalue of Z when X = 0.8*675 = 540. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{540 - 526.5}{10.76}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

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Hi!! can someone help me PLEASE? and DON'T BE AN IP ADDRESS TRACKER!!!!!!!
Artist 52 [7]

Answer:

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Step-by-step explanation:

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4 0
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How many feet are there in 216 yards
Dafna11 [192]
There are 648 ft in 216 yds. :)
8 0
3 years ago
Help ASAP!!!!!! 20 points!!
nekit [7.7K]

Answer:

Hey there!

\frac{3+2-4^2(7)-5+2}{16-6(6)^2}

\frac{3+2-16(7)-5+2}{16-6(36)}

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\frac{-110}{-200}

\frac{11}{20}

Let me know if this helps :)

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