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AlexFokin [52]
2 years ago
3

Sophia has a bag with 3 purple marbles and 4 blue marbles in it. She is going to randomly draw a marble from the bag 280 times,

putting the marble back in the bag after each draw. Complete the following statement with the best prediction. Sophia will draw a purple marble...
Can anyone help me????
Mathematics
2 answers:
sasho [114]2 years ago
5 0

Answer:

close to 120 times but probably not exactly 120 times

Step-by-step explanation:

Anna71 [15]2 years ago
4 0

Answer:

Sophia will draw a purple marble <u>120 times</u> .

Step-by-step explanation:

Number of purple marbles in the bag = 3

Number of blue marbles in the bag = 4

Total number of marbles in the bag = 7

\text{Probability of drawing purple marble from the bag = }\frac{3}{7}

Each time the marble drawn is put back into the bag.

Also, number of draws = 280

So, Sophia will draw a purple marble = Probability of drawing a purple marble × Number of draws

\textbf{Hence, Sophia will draw purple marble = }\bf\frac{3}{7}\times 280=120\:\:times

Therefore, Sophia will draw a purple marble <u>120 times</u> .

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A certain forest covers an area of 4000 km2. Suppose that each year this area decreases by 7%. What will the area be after 5 yea
Levart [38]
Answer:

2,600

Explanation:

Your first step is to find 7% of 4000 ( this is what it is decreasing by per year).
As a result you end up with 280.
Multiply 280 by 5.
1,400 should be your answer( amount of km decreasing after 5 years). This is a decreasing forest, so you subtract 4,000by 1,400.
8 0
2 years ago
37 For a class picnic, two teachers went to the same store to purchase drinks. One teacher purchased 18 juice boxes and 32 bottl
Pavel [41]

Answer:

Step-by-step explanation:

Let j represent the cost of a juice box.

Let w represent the cost of a bottle of water.

One teacher purchased 18 juice boxes and 32 bottles of water, and spent $19.92.. This means that

18j + 32w = 19.92 - - - - - - - - - - - - 1

The other teacher purchased 14 juice boxes and 26 bottles of water, and spent $15.76. This means that

14j + 26w = 15.76- - - - - - - - - - - - 2

Multiplying equation 1 by 14 and equation 2 by 18, it becomes

252j + 448w = 278.88

252j + 468w = 283.68

Subtracting, it becomes

- 20j = - 4.8

j = - 4.8/- 20 = 0.24

Substituting j = 0.24 into equation 1, it becomes

18 × 0.24 + 32w = 19.92

4.32 + 32w = 19.92

32w = 19.92 - 4.32 = 15.6

w = 15.6/32 = 0.4875

Kara's prices are incorrect.

the cost of a juice box is $0.24

the cost of a bottle of water is $0.4875

7 0
2 years ago
Elena wants to make a scale drawing of her bedroom. Her bedroom is a rectangle with length 5 m and width 3 m. She decides on a s
katovenus [111]

We are given dimensions of rectangular bedroom = length of 5m and width 3 m.

Also scale drawing of factor 1/50 of the original dimension.

In order to find the dimensions of scale drawing, we need to multiply scale factor by each dimension.

Therefore, length of the scale drawing is 5 * 1/50 = 1/10 m and

Let us convert it in centimeter now.

1 m = 100 cm

1/10 m = 100 * 1/10 = 10cm.

Width of the scale drawing = 3 * 1/50 = 3/50 m.

100*3/50 = 6 cm.

Therefore, the dimensions of a scale drawing of Elenas bedroom is length 10cm and width 6cm.

7 0
2 years ago
Read 2 more answers
the diameter of a football is five times the diameter of a cricket ball ratio of surface area of football and cricket ball is​
LenKa [72]

Answer:

25 : 1

Step-by-step explanation:

The diameter of the football is 5 times the diameter of the cricket ball. This means that the radius of the football is also 5 times the radius of the cricket ball.

Let the radius of the football be R.

Let the radius of the cricket ball be r.

This implies that:

R = 5r

Both balls are spherical.

The surface area of the cricket ball is given as:

a = 4\pi r^2

The surface area of the football is given as:

A = 4\pi R^2

=>A = 4\pi (5r)^2\\\\A = 100\pi r^2

Therefore, the ratio of their surface areas is:

A : a

100\pi r^2 : 4\pi r^2

= 100 : 4

25 : 1

5 0
2 years ago
What is the yyy-intercept of y=-3-7xy=−3−7xy, equals, minus, 3, minus, 7, x?
stiv31 [10]

<em><u>Complete Question:</u></em>

What is the y intercept of y = -3-7x

<em><u>Answer:</u></em>

<h3>The y intercept is (0, -3)</h3>

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

y = -3 - 7x

The y intercept is the point where the line crosses the y axis

<u>Finding y intercept: </u>

To determine the y-intercept, we set x equal to zero and solve for y

Substitute x = 0 in given equation

y = -3 - 7(0)

y = -3 - 0

y = -3

Thus the y intercept is (0, -3)

8 0
2 years ago
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