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NARA [144]
3 years ago
15

azul is planting a vegetable garden. he is using a bag of marbles to determine how many of each veggie to plant. his bag contain

s 10 red marbles representing tomatoes, 80 green marbles representing zucchini, and 110 orange and marbles representing carrots. zillow randomly selects a marble from the bag, then replaces it and shakes up the bag before selecting another marble. if he repeats this 50 times, about how many zucchini can he expect plan?
Mathematics
2 answers:
kaheart [24]3 years ago
3 0
1. Total number of marbles=10 red marbles+80 green marbles+110 orange marbles=200 marbles
2. Let's call "V" the event that consists that he selects a green marble from the bag. Then:
 P(x)=80/200
 P(x)=0.4

 3. This problem can be represented by a binomial distribution, where:

 P=0.4
 q=1-P=0.6
 n=50

 4. The expect value in a binomial function is written as below:

 E(x)=nxP
 E(x)=50x0.4
 E(x)=20

 The answer is: He can expect 20 zucchini.
Anna11 [10]3 years ago
3 0

Answer:20 zucchini

Step-by-step explanation:

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Answer:  x \ge -3

Explanation:

Follow PEMDAS in reverse to undo what's happening to x.

We first add 1 to both sides, then divide both sides by 5 to fully isolate x.

Refer to the steps below to see what I mean.

-1 + 5x \ge -16\\\\5x \ge -16+1\\\\5x \ge -15\\\\x \ge -15/5\\\\x \ge -3\\\\

The inequality sign stays the same the entire time. The only time it flips is when you divide both sides by a negative number.

The solution set for x is anything -3 or larger.

If x was an integer, then we could say the solution set is {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, ...}

7 0
2 years ago
What is the difference of the fractions? Use the number line to help find the answer.
vova2212 [387]
<h2>Explanation:</h2>

Hello, remember you need to write complete questions in order to get good and exact answers. Here you haven't provided any fractions, so I'll give you my own fractions.

The first fraction is:

\frac{1}{2}

The second fraction is:

\frac{1}{4}

So let's say that difference is:

\frac{1}{2}-\frac{1}{4}

Therefore, the result is:

\frac{1}{2}-\frac{1}{4}=\frac{1}{4}

The representation of this problem is shown using the number line below. As you can see, we have written both 1/2 and 1/4 and the difference is also indicated giving the result 1/4. That is, if we walk from 1/4 to 1/2 we'll walk 1/4 units.

6 0
3 years ago
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A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 46 degrees, what does ADC measures?
den301095 [7]
Answer: 23 degrees

---------------------------------------
---------------------------------------

Explanation:

Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC. The reason why is because they both cut off the minor arc AC

Angle ABC is given to be 46 degrees, the formula we use is shown below

central angle = 2*(inscribed angle)
angle ABC = 2*(angle ADC)
46 = 2*(angle ADC)
46/2 = 2*(angle ADC)/2 ... divide both sides by 2
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5 0
3 years ago
By what percent will a fraction increase if its numerator is decreased by 30%
Nadya [2.5K]

Answer:

40%

Step-by-step explanation:

Let x = numerator

Let y = denominator

\implies \dfrac{x}{y}

Decreased by 30% = 100% - 30% = 70% = 70/100 = 0.7

Decreased by 50% = 100% - 50% = 50% = 50/100 = 0.5

\implies \dfrac{0.7x}{0.5y}

\implies \dfrac{0.7}{0.5}=1.4

\implies 1.4 \ \dfrac{x}{y}

1.4 as a percentage = 1.4 x 100 = 140%

Therefore, the percentage increase is 140 - 100 = 40%

3 0
2 years ago
2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of th
liraira [26]

Answer:

11.25

Step-by-step explanation:

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8 0
3 years ago
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