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trasher [3.6K]
3 years ago
8

Emma had 10 Balls in a bag. The balls were numbers 1 through 10. She wanted to test the probability of drawing a ball that is a

multiple of 3.
Also, write a prediction about if there is an unlikely, impossible, likely, even, or certain change of drawing a multiple of 3.
Mathematics
2 answers:
Goryan [66]3 years ago
5 0

Answer:

  • 30%
  • Unlikely

Step-by-step explanation:

<u>The balls - multiples of 3 are:</u>

  • 3, 6 and 9

<u>The probability of a multiple of 3 is:</u>

  • 3 out of 10 or
  • P = 3/10 = 30%

30% probability is in the range 0%-50% so this event is unlikely

NNADVOKAT [17]3 years ago
5 0
  • Total balls=10
  • Multiples of 3=3,6,9

Total multiples=3

\\ \sf\longmapsto P(3)=\dfrac{Multiples\:of\:3}{Total \:balls}

\\ \sf\longmapsto P(3)=\dfrac{3}{10}

\\ \sf\longmapsto P(3)=30\%

  • It is <50%;

So it is unlikely to happen.

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Which of the following lengths can be the sides of a triangle?
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Answer:

C. 44 cm, 30cm, and 16 cm

Step-by-step explanation:

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3 years ago
Robert and Freddie like to go to the library in their town to borrow books. Robert goes to the library every 9 days and Freddie
Gwar [14]

Answer: 36 days

Step-by-step explanation:

that’s the lowest multiple of 9 that also is a multiple of 12. It’s the LCF aka Least Common Factor

3 0
2 years ago
A cup of raw Arborio rice weighs 7 ounces. One cup will serve 1 people. Arborio rice is purchased in 2-pound boxes for $1.99. Ho
kow [346]

The rice will cost $17.6  for serving 40 people

<h3><u>Solution:</u></h3>

We need to determine the cost of serving 40 people with rice

Arborio rice is purchased in 2-pound boxes for $1.99

The price of 1 pound box will be \frac{\$ 1.99}{2}=\$ 0.995

1 Pound (lb) is equal to 16 ounces (oz)

Therefore, the price of 16 ounces is  $0.995

A cup of raw Arborio rice weighs 7 ounces and it serve 1 people

\begin{array}{l}{\text { The cost per person is } \frac{\$ 0.995}{16} \times 7=\$ 0.44} \\\\ {\text { The cost for serving } 40 \text { people }=\$ 0.44 \times 40=\$ 17.6}\end{array}

Therefore rice will cost $17.6  for serving 40 people

7 0
4 years ago
A farmer has a collapsable grain bag which can expand both vertically and horizontally as he needs it to. He wants to find a fun
bija089 [108]

Answer:

3x^{3}+15x^{2}+x+5

Step-by-step explanation:

We are told that the area of the bag can be represented by the function f(x)=3x^{2} +1 and as the bag is raised up its height can be represented by the function g(x)=x +5.

Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.  

\text{Volume of collapsible bag}=f(x)*g(x)  

\text{Volume of collapsible bag}=(3x^{2}+1)*(x +5)

After using distributive property we will get,

\text{Volume of collapsible bag}=3x^{2}(x+5)+1(x+5)

\text{Volume of collapsible bag}=3x^{3}+15x^{2}+x+5

Therefore, the collapsible bag can hold 3x^{3}+15x^{2}+x+5 grain.

6 0
3 years ago
Find the equation of the line that is perpendicular to the line 4x+2y=1 and passes through the point (-4,3)
serious [3.7K]

First find the slope of the given line:

4x +2y = 1

Subtract 4x from each side:

2y = -4x + 1

Divide both sides by 2:

y = -2x +1/2

The slope is -2.

Now use the slope to find the y-intercept. Because  the line is perpendicular, you need to use the negative inverse of the slope.

The negative inverse of -2 is 1/2

Now using the point-slope form y - y1 = m(x-x1)

Use the inverse slope for m, and the given point(-4,3) to get:

y - 3 = 1/2(x+4)

Simplify:

y - 3 = x/2 +2

Add 3 to each side:

y = x/2 + 5

Reorder the terms to get y = 1/2x +5

The answer is D.

5 0
4 years ago
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