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denis23 [38]
3 years ago
14

Ms. Johnson buys a family-size bag of chips. She gives 20% to Jackie. Another 20% to Ronald. Ms. Johnson gives 1/4 to Mark and S

usan takes 1/2 of what's left. What percent does Ms. Johnson has left to eat?
Mathematics
1 answer:
Kobotan [32]3 years ago
3 0

Answer: 17.5%

Step-by-step explanation:

Percentage of chips given to Jackie = 20%

Percentage of chips given to Ronald = 20%

Percentage of chips given to Mark = 1/4 × 100 = 25%

From the above calculation, we can see that Ms Johnson has given out ((20% + 20% + 25%) = 65% worth of chips out. The percentage she'll have left will be:

= 100 - 65

= 35%

Since Susan takes half of what's left, the percent that Ms. Johnson has left to eat will be:

= 1/2 × 35%

= 17.5%

She has 17.5% left to eat.

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The distance formula uses the coordinates of points and the Pythagorean Theorem to calculate the distance between points. If A and B form the hypotenuse of a right triangle, then the length of AB can be found using this formula, leg2 + leg2 = hypotenuse2 (or you can use A squared + B squared = C squared)

Am not a real genius but I hope that answers your question! ^w^

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imagine that the number 2 button on your calculator is damaged and cannot be used.use a flow chart to show 3 different ways in w
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\left\begin{array}{ccc}24=3\cdot8\\12=3\cdot4\end{array}\right\}24\cdot12=3\cdot8\cdot3\cdot4\\\\\\\left\begin{array}{ccc}24=144:6\\12=36:3\end{array}\right\}24\cdot12=144:6\cdot36:6\\\\\\\left\begin{array}{ccc}24=96:4\\12=48:4\end{array}\right\}24\cdot12=96:4\cdot48:4\\\\\\\left\begin{array}{ccc}24=16+8\\12=9+3\end{array}\right\}24\cdot12=(16+8)\cdot(9+3)\\sequence\ of\ key:16+18=M+;\ 9+3=\times MR=\\\\\\
4 0
3 years ago
Harrison Water Sports has two retail outlets: Seattle and Portland. The Seattle store does 60 percent of the total sales in a ye
Anna11 [10]

Answer: P = 0.75

Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}

We have also the set of sales of boat accesories S_b, the colored one in the image.

We are given the data:

P(S_s) = 0.6\\P(S_b | S_s) = \frac{P(S_b\bigcap S_s)}{P(S_s)}=0.4\\P(S_b|S_p) =\frac{P(S_b\bigcap S_p)}{P(S_p)}=0.2

From these relations you can compute the probabilities of the intersections colored in the image:

pink\;set:\;P(S_b \bigcap S_s) =0.6*0.4=0.24\\blue\;set\;:P(S_b \bigcap S_p)=(1-0.6)*0.2 =0.08

You are asked about the conditional probability:

P(S_s|S_b) = \frac{P(S_s \bigcap S_b)}{P(S_b)}

To calculate this, you need  P(S_b) . In the image you can see that the set S_b is the union of the two disjoint pink and blue sets. Then:

P(S_b)=P((S_b \bigcap S_s)\bigcup(S_b \bigcap S_p)) = 0.24 + 0.08 = 0.32

Finally:

P(S_s|S_b) = \frac{0.24}{0.32}=0.75

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Answer:

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Step-by-step explanation:

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