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andreyandreev [35.5K]
2 years ago
12

Find the distance and midpoint between (- 8, 1) and (4, 6)

Mathematics
1 answer:
Natali5045456 [20]2 years ago
5 0

Answer:

Distance: 13, Midpoint: (-2, 3.5)

Step-by-step explanation:

The distance formula is \sqrt{(x2-x1)^{2} +(y2-y1)^{2} }. We can plug in the numbers from your question so it would be √(4+8)^2+(6-1)^2 =  √144+25=169 =√169 = 13

The midpoint formula is ((x1+x2)/2, (y1+y2)/2), which is -8+4/2, 1+6/2 = (-2, 3.5).

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Write and solve the equation and then check your answer.
uysha [10]

Answer:

StartFraction g Over 6 EndFraction = 16; g = 96

Step-by-step explanation:

The quotient of a number and six is sixteen.

A quotient is a result obtained by dividing one quantity by another.

Thus, we have g to be the unknown number = g / 6 = 16

Thus, g = 16*6 = 96.

3 0
3 years ago
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
The graph of the function P(x) = −0.52x2 + 23x + 92 is shown. The function models the profits, P, in thousands of dollars for a
elena-14-01-66 [18.8K]

Answer:

6.84 ≤ x ≤ 37.39

Step-by-step explanation:

we have

P(x)=-0.5x^2+23x+92 -----> equation A

we know that

The company wants to keep its profits at or above $225,000,

so

PXx)\geq 225 -----> inequality B

Remember that P(x) is in thousands of dollars

Solve the system by graphing

using a graphing tool

The solution is the interval [6.78,39.22]

see the attached figure

therefore

A reasonable constraint for the model is

6.84 ≤ x ≤ 37.39

4 0
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The product of negative nine and x
Montano1993 [528]
<u>-9x
</u>........................................<u>
</u>
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3 years ago
У
Talja [164]

Answer:

hey I'm sorry did you ever get the answer yo this question

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