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stepan [7]
3 years ago
9

Which of the two functions below has the largest maximum y-value?

Mathematics
2 answers:
Pavel [41]3 years ago
4 0
The answer is 'D'
APEX
kvv77 [185]3 years ago
3 0

Answer:  D. g(x)

Step-by-step explanation: since,f(x)=-x^4-2

x^4>=0 for all x so,-x^4<=0 for all x

⇒ -x^4-2<=-2 for all x

⇒ f(x)<=-2 for all x so, maximum possible value of f(x)=-2

whereas g(x)= -3x^3+2 can take values from (-∞,∞)

so, g(x) has the maximum y value

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A helicopter hovers at an altitude that is 1000 feet above a mountain of altitude 5210 feet. A second, taller peak is viewed fro
ehidna [41]
Given: 

Height of Mountain A = 5210 feet
Distance of Mountain A from a helicopter above the peak = 1000 feet
Angle of depression:
       Mountain B to helicopter = 43 degrees
       Mountain B to Mountain A = 19 degrees
 
 First, draw an illustration and label the enumerated given values.

Observe that there are two right triangles formed:

From the triangle formed by the helicopter and Mountain B, 

let x = total height of mountain B
     y = leg of first triangle (helicopter and mountain b)
     h = hypotenuse
Use the Pythagorean Theorem:

cos (43) = y / h

From the second triangle formed by mountain b and a,

cos (19) = (1000 + y) / h

solve for h and y

then, solve for the height of Mountain B:

x = 1000 + y + 5210
6 0
3 years ago
How do you a shade a venn diagram of B-A
natali 33 [55]

Don't shade the part A and the part between A and B. Shade the B part only.

5 0
2 years ago
A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the
Leokris [45]

Answer:

0.025 = 2.5% probability that the sample proportion will differ from the population proportion by more than 0.03

Step-by-step explanation:

I am going to 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:

n = 314, p = 0.06. So

\mu = E(X) = np = 314*0.06 = 18.84

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{314*0.06*0.94} = 4.2083

If 314 are sampled, what is the probability that the sample proportion will differ from the population proportion by more than 0.03?

Either it differs by 0.03 or less, or it differs by more than 0.03. The sum of these probabilities is decimal 1.

Probability it differs by 0.03 or less

pvalue of Z when X = 314*(0.06 + 0.03) = 28.26 subtracted by the pvalue of Z when X = 314*(0.06 - 0.03) = 9.42

X = 28.26

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

Z = \frac{28.26 - 18.84}{4.2083}

Z = 2.24

Z = 2.24 has a pvalue of 0.9875

X = 9.42

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

Z = \frac{9.42 - 18.84}{4.2083}

Z = -2.24

Z = -2.24 has a pvalue of 0.0125

0.9875 - 0.0125 = 0.9750

More than 0.03

p + 0.975 = 1

p = 0.025

0.025 = 2.5% probability that the sample proportion will differ from the population proportion by more than 0.03

3 0
3 years ago
What percent of 300 is 0.6 <br><br><br> and<br><br><br> what number is 0.5% of 8
Solnce55 [7]

Answer:

0.5% of 8 is 0.04

0.6 is 300 = 0.2%



8 0
3 years ago
Which is another way to check the sum of 52 + 23 + 10 + 78?
Tanzania [10]
Whatever you do It has to add up to 163 so the answer is D
5 0
3 years ago
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