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lukranit [14]
2 years ago
12

A game has 15 balls for each of the letters B, I, N, G, and O. The table shows the results of drawing balls 1,250 times.

Mathematics
1 answer:
Mariana [72]2 years ago
4 0

Theoretically, each letter should have the same probability of occurring since there are 15 of each. There are 5 letters that can be drawn, so there is a total of 75 balls, and each letter has a probability \dfrac{15}{75}=\dfrac15 of being drawn.

This means one would expect a theoretical frequency of \dfrac{1250}5=250, i.e. any given letter should get drawn 250 times, which means the answer is D.

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The shape below is constructed from six squares, and the lengths of the sides of the three smallest squares are written inside o
Maurinko [17]

Answer:

78

Step-by-step explanation:

Smallest square: 1

Small Square: 2, Area of 4

Mid Square: 3, Area of 9

Mid White Square: 5, Area of 25

Big Square: 8, Area of 64

1 + 4 + 9 + 64 = 78

5 0
2 years ago
Carmen lives in Maine and pays 5% in sales tax. She just bought $70 in
galina1969 [7]

Answer:

The correct answer is option A.

Step-by-step explanation:

Let's start by analyzing the information we have.

We know that Carmen pays 5% tax on everything she buys, and has made a purchase of $ 70.

But they also tell us that there is $ 25 of that purchase that will not be charged with taxes.

Therefore, what will be charged with taxes will be:

70-25 = 45

Now we must know how much is 5% of 45 and that we can find out by multiplying 45 by 0,05:

45.0,05 = 2,25

Now that we know that the tax was 2.25, we just have to add it to the total purchase to find out how much Carmen paid:

2.25 + 70 = 72.25

Therefore, the total value of the purchase is 72.25.

8 0
2 years ago
Read 2 more answers
The Unique Glass Company reported sales of $24 million in 1995, and sales increased by 15% each year for the next 10 years.
Dimas [21]

Answer:

n + 1 = 24 million x 1.15

Step-by-step explanation:

The sales is increased 15 percent, so every year 24million is multiplyed with 1.15 to get the result... so yea

3 0
2 years ago
The net of a triangular prism is shown below. What is the surface area of the prism? A. 128 cm^2 B. 152 cm^2 C. 176 cm^2 D. 304
shtirl [24]

Answer:

B. 152 cm²

Step-by-step explanation:

To find the surface area using a net, do this:

Take apart the figure. We see that there are three rectangles and two triangles. Find the area of each (A=l*w) and then add the values together:

The first rectangle on the left is the same as the one on the right.

5*8=40

Two measures are 40 cm².

The middle rectangle is:

6*8=48

48 cm²

The formula for the area of a triangle is A=\frac{1}{2}*b*h:

A=\frac{1}{2}*6*4\\\\A=\frac{1*6*4}{2}\\\\A=\frac{24}{2}\\\\ A=12

The area of the two triangles is 12 cm².

Now add the values:

40+40+48+12+12=152

The area of the figure is 152 cm².

:Done

4 0
2 years ago
ΔABC is an isosceles triangle with AB = BC= 6 units. D and E are the midpoints or AB and BC, respectively. The length of AC is 8
nydimaria [60]
There are two triangles that exist in this problem. First is the given triangle ABC, witch AB = BC = 6 and AC = 8
Next is the smaller triangle formed by connecting points D and E; triangle EAD, with EA = AD = 3 and the length of DE is unknown.
Because these triangles are similar, a simple ratio may be set up in order to calculate DE.
DE / AC = EA / AB
DE = 3/6 * 8
DE = 4 units
7 0
2 years ago
Read 2 more answers
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