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Natali [406]
3 years ago
12

Could someone explain how to solve this? Thanks!

Mathematics
1 answer:
GarryVolchara [31]3 years ago
3 0
Since B is the midpoint, set the expressions as an equation and solve for x. So 3x-2=6x-5.
x will be 1. Substituting 1 for x, that means AB=1 and BC=1 So AC will be 2.
Your answer is 2
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The tables below show the values of Y for different values of X
pogonyaev

Answer:

Option D

Step-by-step explanation:

Rate of change of a linear function between two points (x_1,y_1) and (x_2,y_2) is given by,

Rate of change 'm' = \frac{y_2-y_1}{x_2-x_1}

From the given table,

Rate of change of the function between (-2, 6) and (-4, 9),

Rate of change 'm' = \frac{9-6}{-4-(-2)}

                           m = \frac{3}{-2}

Initial value = y-intercept

Let the equation of the line passing through a point (h, k) is,

y - k = m(x - h)

If a point (-2, 6) is lying on the graph of the function,

y - 6 = -\frac{3}{2}(x+2)

y = -\frac{3}{2}x-3+6

y = -\frac{3}{2}x+3

Y-intercept of the function = 3

Therefore, initial value of the function = 3

Option D is the answer.

3 0
2 years ago
Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp
zepelin [54]

Answer:

C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.

Step-by-step explanation:

Given that 20% of the residents in a certain state support an increase in the property tax.

Sample size = 400

We want the sample proportion to be within 0.04 of the true proportion (i.e., between 0.16 and 0.24)

i.e. margin of error <0.04

Std error of sample = \sqrt{\frac{pq}{n} } =\sqrt{\frac{0.2(0.8)}{400} } \\=0.02

Critical value = margin of error/ std error = \frac{0.04}{0.02} \\=2

We know z value for 95% two tailed roughly equals 2.

Hence 95% confidence is right.

C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.

6 0
3 years ago
Help please I need to find the area I don’t know how thanks
otez555 [7]

Answer:

49.62

Step-by-step explanation:

You can start by dividing the shape into 2 separate rectangles to make calculating the area easier.

9.3 x 2.4 = 22.32

10.5 x 2.6 = 27.3

Then, add the areas of the two separate rectangles to find the total area of the shape.

22.32 + 27.3 = 49.62. Hope that helped

4 0
3 years ago
What is the metric system
Anettt [7]

Answer:

the decimal measuring system based on the meter, liter, and gram as units of length, capacity, and weight or mass. The system was first proposed by the French astronomer and mathematician Gabriel Mouton (1618–94) in 1670 and was standardized in France under the Republican government in the 1790s.

Step-by-step explanation:

7 0
3 years ago
A small company plans to invest in a new advertising campaign. There is a 20% chance that the company will lose $5,000, a 50% ch
Viktor [21]

A small company plans to invest in a new advertising campaign.

There is a 20% chance that the company will lose $5,000 ,

50% chance of a break even, and a 30% chance of a $10,000 profit


So the expected value from the advertisement campaign is calculated as - 20% of 5000 + 0% of 5000 + 30% of 10,000

= -1000 + 0 + 3000

= 2000


The expected value from the advertisement campaign is $2000.

So the Company must go ahead with the campaign.


Answer : Option A


Hope it helps.


Thank you ..!!

3 0
3 years ago
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