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3 years ago

15

There are 5 boys and 4 girls in my class. All of them are distinguishable. In how many ways can they be seated in a row of 9 cha

irs such that at least 3 girls are all next to each other?

1 answer:

GalinKa [24]3 years ago

8 0

There are 16 ways to arrange the row so that at least 3 girls always sit next to each other.

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Find the power of 1.4 product is 3.<br><br><br>1.64<br><br>2.744<br><br>4.2<br><br>1.96

Natasha2012 [34]

Answer:

the answer would be 4.2

5 0

3 years ago

Read 2 more answers

Health insurers are beginning to offer telemedicine services online that replace the common office visit. A company provides a v

Veronika [31]

Answer:

$\text {CI} = (60.54, \: 81.46)\\\\$

Therefore, we are 95% confident that actual mean savings for a televisit to the doctor is within the interval of ($60.54 to $81.46)

Step-by-step explanation:

Let us find out the mean savings for a televisit to the doctor from the given data.

Using Excel,

=AVERAGE(number1, number2,....)

The mean is found to be

$\bar{x} = \$71$

Let us find out the standard deviation of savings for a televisit to the doctor from the given data.

Using Excel,

=STDEV(number1, number2,....)

The standard deviation is found to be

$s = \$ 22.35$

The confidence interval is given by

$\text {confidence interval} = \bar{x} \pm MoE\\\\$

Where the margin of error is given by

$$ MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $ \\\\$

Where n is the sample of 20 online doctor visits, s is the sample standard deviation and $t_{\alpha/2}$ is the t-score corresponding to a 95% confidence level.

The t-score is given by is

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

Degree of freedom = n - 1 = 20 - 1 = 19

From the t-table at α = 0.025 and DoF = 19

t-score = 2.093

So, the margin of error is

$MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) \\\\MoE = 2.093\cdot \frac{22.35}{\sqrt{20} } \\\\MoE = 2.093\cdot 4.997\\\\MoE = 10.46\\\\$

So the required 95% confidence interval is

$\text {CI} = \bar{x} \pm MoE\\\\\text {CI} = 71 \pm 10.46\\\\\text {CI} = 71 - 10.46, \: 71 + 10.46\\\\\text {CI} = (60.54, \: 81.46)\\\\$

Therefore, we are 95% confident that actual mean savings for a televisit to the doctor is within the interval of ($60.54 to $81.46)

7 0

3 years ago

How do you solve 111.8 divided by 13

rodikova [14]

Line the decimal first then divide 3

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3 years ago

PLWEASE HELPP PLEASEEEEEE CAN U PLS HELP ILL MARK BRAINIEST

Alexus [3.1K]

Answer:

the first one that looks like a star

Step-by-step explanation:

because the shape on the base is a pentagon for the pyramid, and look for another pentagon in the middle of the images in the anwser choice and you find the first one is correct

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3 years ago

Mr. Chen is painting one wall of a room in his attic. He needs to detemine the area of the wall so he will know how much paint h

MAVERICK [17]

Area of the figure

= (area of rectangle) + (area of triangle)

= (8 × 10) + (½ × 4 × 8)

= 80 + 16

= 96

Area = 96ft²

Quarts of paint needed

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= 4.36

Mr. Chen will have to buy 5 quarts of paint.

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3 years ago