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xeze [42]
3 years ago
14

Madison's family traveled 5 7 of the distance to her uncle's house on Saturday. They traveled 1 2 of the remaining distance on S

unday. What fraction of the total distance to her uncle's house was traveled on Sunday?
Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Answer:

The fraction of the total distance to her uncle's house that was traveled on Sunday is 1/7

Step-by-step explanation:

Let the total distance from Madison house to her uncle is 1 unit

She travels 5/7th of the total distance on Saturday

Remaining distance = 1-\frac{5}{7} = \frac{2}{7}

She travels 1/2 of the remaining distance on Sunday.

Hence, the fraction of the total distance to her uncle's house that was traveled on Sunday is 1/2 * 2/7 = 1/7

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A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m
arsen [322]

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let <em>X</em> = number of individuals in the United States who held multiple jobs.

The probability that an individual holds multiple jobs is, <em>p</em> = 0.13.

The sample of employed individuals selected is of size, <em>n</em> = 225.

An individual holding multiple jobs is independent of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 225 and <em>p</em> = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion <em>p</em>.

Conditions of Normal approximation to Binomial are:

  • np ≥ 10
  • n (1 - p) ≥ 10

Check the conditions as follows:

np=225\times 0.13=29.25>10\\n(1-p)=225\times (1-0.13)=195.75>10

The distribution of the proportion of individuals who hold multiple jobs is,

p\sim N(p, \frac{p(1-p)}{n})

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

P(p

*Use a <em>z</em>-table.

Thus, the probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

7 0
3 years ago
X-7= -3(x+1) over 5<br><br> What is x?
laila [671]

Answer:

x=4

Step-by-step explanation:

Multiply to remove the fraction, then set equal to  0  and solve.

6 0
3 years ago
Read 2 more answers
3x^2+ 4x + 5 for x = -2
Alexus [3.1K]
The answer is 33
3(-2)^2+4(-2)+5
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7 0
3 years ago
Fill in the blanks to complete the sentence
user100 [1]

Answer:

You would use the cos function because you are given the adjacent side and you are finding the opposite side.

Step-by-step explanation:

SOH CAH TOA

Sin = O/H

Cos = A/H

Tan = O/A

O is the Opposite side

H is the Hypotenuse

A is the adjacent side

4 0
2 years ago
Hey! This is due today and I’m lowkey not having a good brain day, could you help?
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