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3 years ago

Sarah has a bag of 100 marbles. 40 are blue, 40 are green, and 20 are purple.

Mathematics

1 answer:

Lynna [10]3 years ago

4 0

Answer: The probability of Sarah picking a blue marble on 2 consecutive draws without replacement = 15.8%

Step-by-step explanation:

Given: Sarah has a bag of 100 marbles. 40 are blue, 40 are green, and 20 are purple.

The probability of Sarah picking a blue marble on 2 consecutive draws without replacement = $\dfrac{40}{100}\times\dfrac{39}{99}=0.157575757576\approx15.8\%$

Hence, the probability of Sarah picking a blue marble on 2 consecutive draws without replacement = 15.8%

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3 years ago

Camilla makes and sells jewelry. She has 8,160 silver beads and 2,880 black beads to make necklaces. Each necklace will contain

Katarina [22]

8,160 ÷ 85 = <span>96

2,880 </span>÷ 30 = 96

SO, Camilla can make 96 necklaces.

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3 years ago

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Yakvenalex [24]

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Answer:

a = 9 meters

Step-by-step explanation:

The perimeter is the sum of the side lengths:

28 m = a + 2m + a + 8m

18 m = 2a . . . . . . . . . . . . . . . . subtract 10m, collect terms

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3 years ago

A pen talking pyramid has a volume of 1536in what is the volume of the pentagonal pyramid if measures are multiplied by 1/4

Natasha2012 [34]

$\bf \textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}Bh\qquad 
\begin{cases}
B=\textit{area of its base}\\
h=height\\
----------\\
B=\frac{1}{4}B\\\\
h=\frac{1}{4}h
\end{cases}\implies V=\cfrac{1}{3}\cdot \cfrac{B}{4}\cdot \cfrac{h}{4}
\\\\\\
V=\cfrac{1}{3}\cdot \cfrac{1}{4\cdot 4}Bh\implies V=\cfrac{1}{16}\left( \cfrac{1}{3}Bh \right)$

so, you'd end up with a pyramid with a volume "one sixteenth" of the original then

now, the original had a volume of 1536, the quarterized version will then just be one sixteenth of that, or 1536 * 1/36

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3 years ago

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givi [52]

Step-by-step explanation:

$ 3750 = truck rental; $125 per ton of sugar transported

C is cost; S is number of tons transported

Equation relating C to S would be a linear equation like y = mx + b

C = 125S + $3750

This equation would be graphed in the first quadrant only

you would start with your y-intercept at (0, 3750)

As x increases by 1, your y increases by 125 yielding these points:

(1, 3875) (2, 4000) (3, 4125) etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

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3 years ago

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