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weeeeeb [17]
3 years ago
8

If f(x) = -x^3 + 2x^2 - 3, find f(2). A) -19 B) -3 C) -1 D) 5

Mathematics
1 answer:
AfilCa [17]3 years ago
7 0

Answer:

B

Step-by-step explanation:

To evaluate f(2) substitute x = 2 into f(x), that is

f(2) = - (2)³ + 2(2)² - 3 = - 8 +2(4) - 3 = - 8 + 8 - 3 = - 3

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Help me answer, please
Illusion [34]

Answer:

B = 35° , a = 55.256, b = 32.401

Step-by-step explanation:

To get B we know that triangle has sum of ° 180, for solving a and b we will use law of sine where a/sinA = b/sinB = c/sinC

6 0
2 years ago
Jim is enclosing a rectangular garden with 170 feet of fencing. The length of the garden is 10 feet more than twice it’s width,
Darina [25.2K]

Answer:

1,500\ ft^2

Step-by-step explanation:

Let

L ----> the length of the rectangular garden in feet

w ---> the width of  the rectangular garden in feet

step 1

Find the width

we know that

The perimeter of the rectangular garden is

P=2(L+W)

P=170\ ft

so

170=2(L+W)

Simplify

85=(L+W) ----> equation A

L=2W+10 ----> equation B

substitute equation B in equation A and solve for W

85=(2W+10+W)

85-10=3W

3W=75

W=25\ ft

Find the value of L

L=2(25)+10=60\ ft

step 2

Find the area

we know that

The area of the rectangular garden is

A=(LW)

substitute the values

A=(60)(25)=1,500\ ft^2

6 0
3 years ago
Maya’s chocolate is 59% cocoa. If the weight of the Chocolate bar is 93 grams, how many grams cocoa does it contain? Round your
Natasha2012 [34]

Answer:

54.9 because it is the answer

7 0
3 years ago
Read 2 more answers
The sports shop has 9 part-time employees and 21 full-time employees. What percentage of the employees at the sports shop work p
eduard

Answer:

30% of employees work part-time

Step-by-step explanation:

i just added 9 and 21 which is 30 and then i figured out that 9 is 30% of 30

7 0
3 years ago
A report indicated that 37% of adults had received a bogus email intended to steal personal information. Suppose a random sample
fiasKO [112]

Answer:

5.05% probability that no more than 34% had received such an email.

Step-by-step explanation:

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

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 = 700, p = 0.37

\mu = E(X) = np = 700*0.37 = 259

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{700*0.37*0.63} = 12.77

In a random sample of 700 adults, what is the probability that no more than 34% had received such an email?

34% is 0.34*700 = 238

So this probability is the pvalue of Z when X = 238.

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

Z = \frac{238 - 259}{12.77}

Z = -1.64

Z = -1.64 has a pvalue of 0.0505

5.05% probability that no more than 34% had received such an email.

7 0
3 years ago
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