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Vera_Pavlovna [14]
3 years ago
13

A bucket contains 3 small red blocks, 5 small yellow blocks, 5 large yellow blocks and 7 large red blocks. If a block is drawn r

andomly, what is the probability that the block is yellow, given that it is one of the large blocks?
Mathematics
1 answer:
Galina-37 [17]3 years ago
7 0

Answer:

P = 5/12 = 0.42

Step-by-step explanation:

In the bucket we have:

3 small red blocks

5 small yellow blocks

5 large yellow blocks

7 large red blocks

Ok, now we know that we draw one of the large blocks, and we want to find the probability that the block is yellow.

The probability will be equal to the quotient between the number of larger yellow blocks (5) and the total number of large blocks (5 + 7 = 12) (we only care for the large blocks because we start by assuming that we draw one of these)

Then the probability is:

P = 5/12 = 0.42

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A tree farm owner uses a grid to mark where to plant trees in the spring. The first tree is planted at (2, 3). Each of the other
Tatiana [17]

Answer:

See attached image for the drawing of the first four trees (circled in green)

The patterns is:

x = 2+3n  and  y= 3+2n

Position of 7th tree is: (20,15) (circled in orange in the image)

Step-by-step explanation:

Starting at the location (2,3) the next x and y positions are given by:

x = 2+3n since the horizontal position needs to be increased by 3 units on each iteration,

and y= 3+2n since the vertical position needs to be increased by 2 units on each iteration

being n= 1 through 6 (to account for the next 6 trees that need to be planted)

With such pattern, the location of the seventh tree would be:

x = 2 + 3*6 =2 + 18 = 20

y = 3 + 2*6 = 3 + 12 = 15

That is, the point (20,15) on the plane.

Also see attached image.

8 0
4 years ago
Find the equation of the line
Valentin [98]

Answer:

y=-5x+1

Step-by-step explanation:

m=15-5/-6+4\\m=10/-2\\m=-5\\y=-5x+b\\x=4, y=5\\5=1(4)+b\\5=4+b\\5-4=b\\b=1\\y=-5x+1

7 0
3 years ago
Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than u
Fynjy0 [20]

Answer:

The probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

Step-by-step explanation:

Given:

Weight of a given sample (x) = 2.33 oz

Mean weight (μ) = 1.75 oz

Standard deviation (σ) = 0.22 oz

The distribution is normal distribution.

So, first, we will find the z-score of the distribution using the formula:

z=\frac{x-\mu}{\sigma}

Plug in the values and solve for 'z'. This gives,

z=\frac{2.33-1.75}{0.22}=2.64

So, the z-score of the distribution is 2.64.

Now, we need the probability P(x\geq 2.33 )=P(z\geq  2.64).

From the normal distribution table for z-score equal to 2.64, the value of the probability is 0.9959. This is the area to the left of the curve or less than z-score value.

But, we need area more than the z-score value. So, the area is:

P(z\geq  2.64)=1-0.9959=0.0041=0.41\%

Therefore, the probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

5 0
3 years ago
Calculate the length of AB. *
arsen [322]

Answer:

the answer will be 9.6 cm

4 0
4 years ago
If x = 7 units, y = 2 units, and h = 8 units, find the area of the trapezoid shown using decomposition.
fgiga [73]

Answer:

A. 72 square units.

Step-by-step explanation: I got it right on edginuity.

4 0
3 years ago
Read 2 more answers
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