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Murljashka [212]
3 years ago
10

The Hiking Club plans to go camping in a State park where the probability of rain on any given day is 2/3. What is the probabili

ty that it will rain on exactly four of the four days they are there? Round your answer to the nearest thousandth.
Mathematics
1 answer:
Aleksandr [31]3 years ago
3 0

Answer:

19.75%

Step-by-step explanation:

Since we are trying to find the probability for a sequence of events then we need to multiply the probability of each event happening separately from each other. Since the probability of it raining on a single day is 2/3 we need to multiply this value with itself 4 times (one for each day).

2/3 * 2/3 * 2/3 * 2/3 = 16/81 or 0.1975 or 19.75%

Therefore the probability would be 16/81 or 0.1975 or 19.75%

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If ​f(x)equals 2xminus5 and ​j(x)equals ​f(x)plus3​, write the equation for​ j(x).
yanalaym [24]
F(x)=2x-5
j(x)=f(x)+3=2x-5+3=2x-2

j(x)=2x-2
8 0
3 years ago
What is the length of RST in centimeters
kiruha [24]
Idk maybe 106* who knows right?
4 0
3 years ago
1. A senator is thinking about running for president. But she will only do so if more than 60% of the voters view her favorably.
OLga [1]

The senator is faced with the making a decision to run for President, based

on the conclusion she can make from the data she gathers.

The statistical method that would be best for her to use is <u>inferential </u>

<u>statistic method</u> such as finding the percentage of supporters she has to a

given <u>confidence level</u>.

Reason:

The two main types of statistical methods are;

Inferential statistics methods; Theses are methods used to reach a

conclusion that extends past the given or available data.

Descriptive statistics methods; Theses are statistical method used as a

summary of a data set.

Given that the senator is trying to draw conclusion based on the data she

gathers, she should use inferential statistic method.

The type inferential statistic method that can be used is the confidence

interval.

From the data collected, the proportion of voters that view her favorably is

used at a given confidence level to determine the true proportion of voters

that view her favorably.

Therefore;

The statistical method that would be best for her to use is the

finding of the <u>confidence interval which is a inferential statistic method</u>.

Learn more here:

brainly.com/question/15873157

7 0
3 years ago
Which of the following is the correct usage of the distributive property of the expression: 3(x+1) ?
Alchen [17]

Answer:  =3x+3

Step-by-step explanation:

3\left(x+1\right)

\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac

3\left(x+1\right)=3x+3\cdot \:1

=3x+3\cdot \:1

\mathrm{Multiply\:the\:numbers:}\:3\cdot \:1=3

=3x+3

3 0
3 years ago
Given the functions ƒ(x) and g(x), which of the following statements is true? x -2 -1 0 1 2 ƒ(x) -3 3 5 3 -3 g(x) = -x2 + 4x ƒ(x
Morgarella [4.7K]

Answer:

The correct option is 1.

Step-by-step explanation:

From the given table is notices that the function f(x) is a downward parabola.

The maximum value of f(x) is 5 at x=1.

The function g(x) is

g(x)=-x^2+4x

vertex of the parabola is

(\frac{-b}{2a}, g(\frac{-b}{2a}))

(\frac{-4}{2\times 1}, g(\frac{-4}{2\times 1})

(2, g(2))

Put x=2.

g(x)=-2^2+4(2)=4

Therefore the vertex of g(x) is (2,4). The vertex of a downward parabola is the maximum point of the function.

Therefore ƒ(x) has the greater maximum. Option 1 is correct.

5 0
3 years ago
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