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Ivan
2 years ago
14

Three married couples have purchased theater tickets and are seated in a row consisting of just six seats. If they take their se

ats in a completely random fashion (random order), what is the probability that Jim and Paula (husband and wife) sit in the two seats on the far left?
Mathematics
1 answer:
JulsSmile [24]2 years ago
7 0

Answer:

The required probability is : \frac{1}{15}

Step-by-step explanation:

Three married couples have purchased theater tickets and are seated in a row consisting of just six seats.

First we will check the total arrangements that is 6! ways.

6! = 6\times5\times4\times3\times2\times1=720

Jim and Paula can sit at far left in 2 ways and the remaining 4 in 4! ways,.

So, probability will be = 2\times\frac{4!}{6!}

= 2\times\frac{24}{720}

= \frac{48}{720}

= \frac{1}{15}

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The average heights of four samples taken from a population of students are shown in the table. Which of these is most likely cl
Ne4ueva [31]

Answer:

It would be D, 62

Step-by-step explanation:

The sample size for the group with the average height is the highest, being at 40 instead of 30, 20, or 10, and therefore has the most accurate average height.

7 0
2 years ago
Read 2 more answers
in june , a camp has 325 campers and 26 counselors, in july,265 campers leave and 215 new campersarrive.How many counselors does
Lostsunrise [7]

Answer:

  • <u>22 counselors</u>

<u></u>

Explanation:

<u>1. Ratio of campers to counselors in june:</u>

  • number of campers: 325

  • number of counselors: 26

  • Ratio = number of campers / number of counselors

  • Ratio = 325 campers / 26 counselors

<u />

<u>2. Ratio of campers to counselors in july:</u>

  • number of campers = 325 - 265 + 215 = 275

  • number of counselors = x (unknown)

  • Ratio = 275 campers / x

<u />

<u>3. Equivalent ratios:</u>

  • 325 campers / 26 counselors = 275 campers / x

Solve for x:

  • x = (26counselors/325campers) × 275campers = 22 counselors ← answer

3 0
1 year ago
Eliza started her savings account with $100. Each month she deposits $25 into her account. Determine the average rate of change
Afina-wow [57]
First, lets create a equation for our situation. Let x be the months. We know four our problem that <span>Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:
</span>f(x)=25x+100
<span>
We want to find the average value of that function </span>from the 2nd month to the 10th month, so its average value in the interval [2,10]. Remember that the formula for finding the average of a function over an interval is: \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1} }. So lets replace the values in our formula to find the average of our function:
\frac{25(10)+100-[25(2)+100]}{10-2}
\frac{350-150}{8}
\frac{200}{8}
25

We can conclude that <span>the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.</span>
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1 year ago
250 employees in an organization were surveyed about their hair color and height. The data collected is presented in the table.
morpeh [17]
250 ÷ 164 = 0.656
D. 0.656
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2 years ago
The point guard of a basketball team has to make a decision about whether or not to shoot a three-point attempt or pass the ball
melamori03 [73]

the expected value for the 3 point shot = (3 * 0.30) + (0 * 0.70) = 0.90

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the expected value for the 2 point shot is higher than the 3 point shot so he should pass the ball

5 0
2 years ago
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