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2 years ago

5

A container has 3 apple juice boxes, 4 grape juice boxes, and 5 orange juice boxes. Alex picks one juice box, drinks it and then

picks another juice box.
What is the probability that Alex will pick a grape juice and then a orange juice?

1 answer:

Vinil7 [7]2 years ago

5 0

The probability is 10/12. If you need it as a decimal, it should be about 8.3%

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Harold measures the heights in inches of the new plants that are growing in his greenhouse. He records the lengths shown below a

viva [34]

Answer:

The least value plotted on the line plot is 18.0

The greatest value plotted on the line plot is 22.0

The height of inches occurs the most often is 19.5 with 3 times

Step-by-step explanation:

A line plot is a graph that shows frequency (the number of times the data value occur) of data along a number line.

The line plot has dots plotted on it over each value of the number line.

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1 year ago

The nth term of a sequence is 2n2 − 1 The nth term of a different sequence is 40 − n2 Show that there is only one number that is

allsm [11]

Answer:

Step-by-step explanation:

nth term of a sequence = 2n² - 1

Therefore, terms of the sequence will be,

1, 7, 17, 31, 49, ........... n terms

nth term of a different sequence = 40 - n²

Therefore, terms of the sequence will be,

39, 36, 31, 24, 15, 4, -9, -24 .......... n terms

Since, there is no negative number in the first sequence,

Therefore, out of 6 positive terms of second sequence only one number (31) is common in both the sequences.

5 0

2 years ago

If the area of a garden is 11 square feet what could be the dimensions of the garden

sergejj [24]

Assuming that the garden is rectangular in shape, the area of a rectangle is given by length x width.

11 is a prime with factors 1 and 11.

Therefore, if the area of a (rectangular) garden is 11 square feet, then the possible dimension of the garden is 1 feet by 11 feet.

7 0

2 years ago

Given right triangle XYZ, what is the value of tan(60°)?

Svetlanka [38]

we know that

Step $1$

in the right triangle XYZ

Applying the Pythagorean Theorem

Find the value of ZY

$XY^{2}=XZ^{2} +ZY^{2} \\ ZY^{2}=XY^{2}-XZ^{2}\\ ZY^{2}=42^{2}-21^{2}\\ ZY^{2}=1,323\\ ZY=\sqrt{1,323}\ units$

$ZY=21\sqrt{3}\ units$

Step $2$

in the right triangle XYZ

Find tan $60$ °

we know that

$tan\ 60=\frac{opposite\ side\ angle\ 60}{adjacent\ side\ angle\ 60}$

in this problem

opposite side angle $60$ is ZY

adjacent side angle $60$ is XZ

so

$tan\ 60=\frac{ZY}{XZ} \\ \\ tan\ 60=\frac{21\sqrt{3}}{21} \\ \\ tan\ 60=\sqrt{3}$

therefore

the answer is

$\sqrt{3}$

3 0

1 year ago

Read 2 more answers

Miguel and his brother Ario are both standing 3 meters from one side of a 25-meter pool when they decide to race. Miguel offers

Westkost [7]

Answer:

Miguel start to swim when Ario has traveled 4.4 m.

Step-by-step explanation:

The total lenght of the pool is 25.

Since both of them standing 3 m from one side of the pool, then, the total distance both need to cover is $25-3$ m= 22 m.

Assume that the distance traveled by Ario before Miguel start to swin is $x$ . That means, the remaining distance to Ario (to cover the total size of the pool) is $22-x$ .

Then, in acoordance to the problem, the ratio between these two distances must be equal to 1/4.

That is,

$\frac{x}{22-x}=\frac{1}{4}$ .

So, we need to obtain $x$ from this equation. We must note that $x\neq 22$ , otherwise we have a zero in the denominator.

So, we rearrange the equation,

$4x=22-x$ (Multiplying both sides of equation by ( $4(22-x)$ ).

Then, $5x=22$ .

Therefore, $x=4.4$ m.

3 0

2 years ago