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miss Akunina [59]
3 years ago
14

At a pumpkin patch, if Armando guesses the weight of his pumpkin within 0.3 pounds, he gets to take the pumpkin home for free. I

f his pumpkin weighs 4.9 pounds, which two equations can be used to find the minimum and maximum weights he can guess in order to get his pumpkin for free?
x – 0.3 = 4.9 and x – 0.3 = –4.9
x + 0.3 = 4.9 and x + 0.3 = –4.9
x + 4.9 = 0.3 and x + 4.9 = –0.3
x – 4.9 = 0.3 and x – 4.9 = –0.3
Mathematics
2 answers:
Reil [10]3 years ago
7 0

Answer: last option

Step-by-step explanation:

You know that the weight of his pumpkin 4.9 pounds and that, if he guesses its weight within 0.3 pounds, he will get the pumpkin for free.

Then, to find the minimum weight he can guess  in order to get his pumpkin for free, it's necessary to write the expression:

x-0.3=4.9

Rewriting it:

x-4.9=0.3

To find the maximum weight he can guess  in order to get his pumpkin for free, it's necessary to write the expression:

x+0.3=4.9

Rewriting it:

x-4.9=-0.3

guapka [62]3 years ago
5 0

Answer:

d. x – 4.9 = 0.3 and x – 4.9 = –0.3

Step-by-step explanation: just took the test

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Find the value of (+328.62) – (+98.6). A. 230.02 B. 427.22 C. –427.22 D. –230.02
Jet001 [13]

Answer:

Option A - (+328.62)-(+98.6)=230.02

Step-by-step explanation:

We have given the expression (+328.62)-(+98.6)

We have to find the value of the expression ?

Solution :

Step 1 - Write the expression

=(+328.62)-(+98.6)

Step 2 - Applying symbol rule i.e. multiplication of positive into negative is always negative, (-)(+)=(-)

=328.62-98.6

Step 3 - Solve

=230.02

Therefore, The value of the expression is (+328.62)-(+98.6)=230.02

So, Option A is correct.

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3 years ago
A) hat contains 4 red marbles and 3 blue marbles. Draw a tree diagram to illustrate the possible outcomes for selecting a marble
Charra [1.4K]

Answer:

there are 7 outcomes.

the chances of one is one in 7 and the chances of two is 1 in 14. the third is somewhere around 43%

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Step-by-step explanation:

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3 years ago
Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos
crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c)  P(X = 2) is unusual, P(X = 0) is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

A number of sucesses x is considered unusually low if P(X \leq x) \leq 0.05 and unusually high if P(X \geq x) \geq 0.05

In this problem, we have that:

Two cans are randomly chosen, so n = 2

Two out of 18 cans are filled with diet coke, so \pi = \frac{2}{18} = 0.11

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that P(X = 2) is unusual, since P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958

There is a 19.58% probability that exactly one is diet and exactly one is regular.

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