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Lubov Fominskaja [6]
3 years ago
9

Ernesto wants to buy a snack from the vending machine. The vending machine has 5 different kinds of chips, 8 different candy bar

s, and 2 different kinds of cookies. If he chooses one at random, what is the probability that it is a cookie?
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
6 0

Answer:

The probability that it is a cookie is   \frac{2}{15}

Step-by-step explanation:

To find the probability  that it is a cookie if he chooses one at random;

probability = required outcome / all possible outcome

The all possible outcome will be gotten by adding up all the snacks. that is;

required outcome = 5 + 8 + 2 = 15

The required outcome is the snack he chooses, that is; required outcome = 2

Probability (of choosing a cookie) =required outcome / all possible outcome

                                                         =\frac{2}{15}

Therefore, the probability that it is a cookie is   \frac{2}{15}

                                                           

                                 

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1512

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2 years ago
What is the value of c in the interval (5,8) guaranteed by Rolle's Theorem for the function g(x)=−7x3+91x2−280x−9? Note that g(5
jeyben [28]

Answer:

\displaystyle c = \frac{20}{3}

Step-by-step explanation:

According to Rolle's Theorem, if f(a) = f(b) in an interval [a, b], then there must exist at least one <em>c</em> within (a, b) such that f'(c) = 0.

We are given that g(5) = g(8) = -9. Then according to Rolle's Theorem, there must be a <em>c</em> in (5, 8) such that g'(c) = 0.

So, differentiate the function. We can take the derivative of both sides with respect to <em>x: </em>

<em />\displaystyle g'(x) = \frac{d}{dx}\left[ -7x^3 +91x^2 -280x - 9\right]<em />

Differentiate:

g'(x) = -21x^2+182x-280

Let g'(x) = 0:

0 = -21x^2+182x-280

Solve for <em>x</em>. First, divide everything by negative seven:

0=3x^2-26x+40

Factor:

<h3>0=(x-2)(3x-20)</h3>

Zero Product Property:

x-2=0 \text{ or } 3x-20=0

Solve for each case. Hence:

\displaystyle x=2 \text{ or } x = \frac{20}{3}

Since the first solution is not within our interval, we can ignore it.

Therefore:

\displaystyle c = \frac{20}{3}

3 0
3 years ago
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kozerog [31]
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6 0
2 years ago
1. The US Mint has a specification that pennies have a mean weight of 2.5g. From a sample of 37 pennies, the mean weight is foun
Evgesh-ka [11]

Answer:

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checking for z= 0.0 under 55 gives 0.0219 (value gotten from the table of normal distribution)

we subtract the value of z from 0.5 (1- (0.5+0.0219)) = 0.4781 > 0.05claim

since 0.4781 > 0.05claim, therefore, the pennies does not conform to the US mints specification

the claim state a 5% significance level whereas the calculated significance level is 47.81%. therefore, the claim should be rejected

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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8 0
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