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densk [106]
3 years ago
5

Write the equation of the parabola in vertex form.

Mathematics
1 answer:
alisha [4.7K]3 years ago
8 0

Answer: Hi! The answer is, y=-(x-2)^2

Step-by-step explanation:(The explanation is in the image below) I hope that this helps you!

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Which of the following is an algebraic expression that represents the phrase X increased by 20
iren2701 [21]

Answer:

The expression means that X+20

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A bag contains 5 yellow marbles and 10 blue marbles. If a representative sample contains 2 yellow ​marbles, then how many blue m
Dmitry [639]

Answer:

There will be 4 blue marbles

Step-by-step explanation:

Yellow to blue marbles is in a ratio of:

5:10

the representative sample is:

2:x

simplee cross multiplication can be aplied

5x = 2*10

5x = 20

divide both sides by 5

x = 4

there should be four blue marbles

4 0
3 years ago
Read 2 more answers
The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of
Cloud [144]
Part a : you could draw a line from each corner to the middle
This would give you 7 triangles in total

Part b : area of one triangle : 4.5*7.8 = 35.1 / 2 = 17.55in <-- area of 1 triangle

Part c : so if there are 7 triangles and the area of 1 triangle is 17.55, you would do:
7 * 17.55 = 122.85

5 0
3 years ago
Pls help 100 point <br>i really need help​
Umnica [9.8K]

Answer:

ASA - Angle Side Angle, it creates two separate triangles that face each other in which makes it identified as an Angle Side Angle.

(Picture Placed Below)

Step-by-step explanation:

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
3 years ago
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