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SashulF [63]
3 years ago
9

Gary has 2 red apples, 2 green apples, and 2 yellow apples in a sack. He also has 2 packages of peanuts, 2 packages of almonds,

and 2 packages of cashews in another sack. If he reaches into each sack without looking, what is the probability that he will grab a red apple and a package of peanuts?
Mathematics
1 answer:
o-na [289]3 years ago
3 0
1/3 or approximately 0.3333333334 percent
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What is the equation of the line that passes through (1,3) and (2,5)
kramer

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3 0
3 years ago
Drawing a card- four cards are drawn from a desk without replacement.Find these probabilities.
svetlana [45]

The deck consists of 4 jacks, 26 black cards, and 13 hearts.

There is only 1 way of drawing all 4 jacks: \dbinom44=\dfrac{4!}{4!(4-4)!}=1.

There are \dbinom{26}4=14,950 ways of drawing 4 black cards.

There are \dbinom{13}4=715 ways of drawing 4 hearts.

There are \dbinom{52}4=270,725 ways of drawing any 4 cards.

The probabilities are then

a.

\dfrac{\binom44}{\binom{52}4}=\dfrac1{207,725}\approx0.00000369

b.

\dfrac{\binom{26}4}{\binom{52}4}=\dfrac{46}{833}\approx0.0552

c.

\dfrac{\binom{13}4}{\binom{52}4}=\dfrac{11}{4165}\approx0.00264

5 0
3 years ago
A company manufactures two types of electric hedge trimmers, one of which is cordless. The cord-type trimmer requires 2 hours to
Delvig [45]

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:

x + y ≤ 200

2x + 10y ≤ 1000

<h3>What is inequality?</h3>

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Total number of hours = 1000

Total number of trimmers = 200

Let x represent the number of cord-type models,

Let y represent the number of cordless models.

Now,

x + y ≤ 200

2x + 10y ≤ 1000

Thus,

The inequalities that describe the constraints on the number of each type of hedge trimmer produced are:

x + y ≤ 200

2x + 10y ≤ 1000

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ1

6 0
1 year ago
Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the
nadezda [96]
Y = 6 + x

We can use this equation to find the total amount of flour that Otto used in the recipe.

The constraints on 'x' and 'y' are that they must both be positive, because we cannot have a negative amount of flour.

<span>And a restraint something like 50 cups of flour total because one person making a recipe won't use that many cups of flour.</span>
5 0
4 years ago
Find the size of angle YZX
Tasya [4]

Answer:

21.001 cm

Step-by-step explanation:

The diagram shows right triangle with

Hypotenuse ZY = 22.3 cm

Leg XY = 7.5 cm

By the Pythagorean theorem,

XY^2+XZ^2=ZY^2\\ \\7.5^2+XZ^2=22.3^2\\ \\XZ^2=22.3^2-7.5^2\\ \\XZ^2=(22.3-7.5)(22.3+7.5)\\ \\XZ^2=14.8\cdot 29.8\\ \\XZ^2=441.04\\ \\XZ=\sqrt{441.04}\approx 21.001\ cm

3 0
3 years ago
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