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Brilliant_brown [7]
2 years ago
6

Earth has a radius of about 6400 km, the sun has a radius of about 7.0´105 km, and a rubber ball has a radius of 6.4 cm. if you

were to construct a scale model of the solar system using the rubber ball to represent earth, what is the radius of a ball needed to represent the sun in your model?
Mathematics
1 answer:
tresset_1 [31]2 years ago
4 0
<span>700 cm
I might be wrong though
have fun with it</span>
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An equation was used to predict possible sales of phones for 6 months. The actual sales of phones are also listed.
LekaFEV [45]
They were up 15+0+25+10-20-10=20. The sum was 20 :)
3 0
2 years ago
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A major department store chain is interested in estimating the mean amount its credit card customers spent on their first visit
viva [34]

Answer: D) \$50\pm\$11.08

Step-by-step explanation:

As per given , we have

Sample size : n= 15

sample mean : \overline{x}=\$50.50

Sample standard deviation: s= $20

Since population standard deviation is unknown , so we use t-test.

Significance level for 95% confidence : \alpha=1-0.95=0.05

Critical t-value : t_{n-1, \alpha/2}=t_{014,0.025}=2.145  [Using students' t-value table]

Required 95% Confidence interval :-

\overline{x}\pm t_{n-1, \alpha/2}\dfrac{s}{\sqrt{n}}\\\\ =\$50.50\pm(2.145)\dfrac{\$20}{\sqrt{15}}\\\\\approx \$50\pm\$11.08

Hence, the required 95% confidence interval for the mean amount its credit card customers spent on their first visit to the chain's new store in the mall assuming that the amount spent follows a normal distribution.:

\$50\pm\$11.08

5 0
2 years ago
Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose
TEA [102]
Answer:
Steps 3 and 4 are incorrect because
(a) An incorrect value for slope was obtained in step 3.
(b) The incorrect value for the slope was used in step 4.

Explanation:
Let us evaluate Talia's steps.

Step 1: Select (2, 5) as a point on the line.
            CORRECT

Step 2: Select another point (1, 3) on the line.
            CORRECT

Step 3: Count units to the right and count units up, to determine the slope.
            Units right = 2 - 1 = 1
            Units up = 5 - 3 = 2
            Slope = (Units up)/(Units right) = 2/1 = 2
            INCORRECT because Talia did not obtain a slope of 2.

Step 4: Substitute obtained values in the point-slope form.
             (y - y1) = m(x - x1). If we select the point (1, 3), then
            y - 2 = 2(x - 1).
            Talia's equation is INCORRECT because she used an incorrect value
            for the slope.
8 0
2 years ago
Read 2 more answers
Chandresh is helping his father paint the fence in their back yard. The fence is represented by the shaded part of the diagram b
Lyrx [107]

B. The total area painted is 864; they must buy two cans of paint.

Step-by-step explanation:

Step 1:

A rectangle's area can be calculated by multiplying its length and its width. The wall is made up of 5 different types of rectangular walls. All walls are 8 feet tall but the length varies.

Step 2:

The area of the 20 feet long wall = (length)(width)= (20)(8) =160,

The area of the 10 feet long wall = (length)(width)= (10)(8) =80,

The area of the 5 feet long wall = (length)(width)= (5)(8) =40,

The area of the 4 feet long wall = (length)(width)= (4)(8) =32,

The area of the 15 feet long wall = (length)(width)= (15)(8) =120.

The area of all the walls = 432 square feet.

Since there are two sides for every wall, total area = 432(2)=864 square feet.

Step 3:

If one paint can covers 500 square feet,

the number of cans required to paint 864 square feet = \frac{864}{500} = 1.728 cans.

so 2 paint cans are needed to paint 864 square feet which is option B.

7 0
2 years ago
Robert called two bowling centers, Fannin Lanes and Fun Times Lanes, to déterminé the cost to bowl. Fannin Lanes charges 2.50 pe
Archy [21]

Answer:

4 games

Step-by-step explanation:

<em>Robert called two bowling centers, Fannin Lanes and Fun Times Lanes, to déterminé the cost to bowl.</em>

Let x number of games played

y represents total cost to bowl

  • Fannin Lanes charges 2.50 per games plus 2 for shoe rental

y = 2.50x + 2

  • Fun Time Lanes charges 2 per game plus 4 for shoe rental.

y = 2x + 4

<u><em>If total cost to bowl be same at both center</em></u>

2.50x + 2 = 2x + 4

2.5x - 2x = 4-2

        0.5x = 2

             x = 4

Hence, 4 games will the cost to bowl be the same at both center.

3 0
2 years ago
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