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3 years ago

7

Find the value of x. A. 3 B. 2 C. 6 D. 5

1 answer:

solmaris [256]3 years ago

3 0

To solve this, you use the rule where AK x KC = DK x KB. In this case, 14(3+3X) = 12(4X+1). Then you solve like it's basic algebra. Your answer is then x=5. Or in this case answer choice D.

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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

2 years ago

Marcia sells bracelets. She sells each one for $1.50. This year she spent $32.76 on supplies. At the end of the year, she made $

Marianna [84]

Answer:

$1.5b - $32.76 = $292.74

Step-by-step explanation:

Profit = total revenue - total cost

total revenue = price per unit x total unit of bracelet sold

total revenue = $1.50 x b = $1.50b

b = total units of bracelets sold

total cost = $32.76

$1.5b - $32.76 = $292.74

3 0

3 years ago

Please help i’m sorry!!! 15 points again!

morpeh [17]

Answer:

Guess I'll agree with the other person.

Step-by-step explanation:

7 0

2 years ago

Please help me solve this thank you so much.

PtichkaEL [24]

Y= -3. Someone else had the same question I just answered lol

8 0

3 years ago

Find the area of the following polygon:

Masja [62]

Given:

ABCD is a quadrilateral

AC = 12, DE = 4 and FB = 5

To find:

The area of the polygon.

Solution:

AC bisects the quadrilateral into two triangles.

Area of triangle:

$$A=\frac{1}{2}\times\text{base}\times\text{height}$

<u>Area of triangle DAC:</u>

$$A=\frac{1}{2}\times AC \times DE$

$$A=\frac{1}{2}\times 12 \times 4$

$A=24$

Area of triangle DAC = 24 square units.

<u>Area of triangle BAC:</u>

$$A=\frac{1}{2}\times AC \times FB$

$$A=\frac{1}{2}\times 12 \times 5$

$A=30$

Area of triangle BAC = 30 square units.

Area of polygon = Area of triangle DAC + Area of triangle BAC

= 24 square units + 30 square units

= 54 square units

The area of the polygon is 54 square units.

3 0

3 years ago