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2 years ago

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There are 8 blue marbles, 9 green marbles, and 7 yellow marbles in a jar. What is the probability of picking a blue marble on th

e first try?

1 answer:

horsena [70]2 years ago

5 0

Answer:

The probability of picking a blue marble is 33%.

Step-by-step explanation:

Total marbles: 24

Blue marbles: 8
Green marbles: 9
Yellow marbles: 7

$\frac{8}{24} = \frac{1}{3} =0.33$

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woman has 7 coworkers' man. How many different possible groups of four people could do the project, if one out of three is women

aliina [53]

Answer: 24ways

Step-by-step explanation:

Given data:

No of men in the workplace = 7

No of women in the workplace = 1

How many ways can a group of 4 people carry out a project if on out of the 3 must be a woman.

Solution.

A group of 4 can carry out the project with one be a woman

This means there must be 3 males and 1 female in the group

= 4p3

= 24ways

The project can be carried out by 4 groups in 24 ways

6 0

3 years ago

A box with a volume of 40 cubic inches holds 10 balls. A box with a volume of 60 cubic inches holds 15 of the same kinds of ball

lesya692 [45]

Pretend these are coordinates that you can use to find the slope of the line.
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:
$m= \frac{60-40}{15-10}$ and the slope is 4. Now use one of the points and the slope of 4 to solve for b, the y-intercept:
40 = 4(10) + b so b = 0. The equation of the line then is y = 4x + 0 or just
y = 4x

6 0

3 years ago

Two liquids Kaylin mixed two liquids for science experiment one container had 7/8 Cup and the other health 9/10 cup what is the

seraphim [82]

Answer:

Step-by-step explanation:

<em>Step 1: Determine quantity per liquid</em>

liquid 1=7/8 cup

liquid 2=9/10 cup

<em>Step 2: Derive expression to calculate total amount of mixture</em>

The expression below can be derived;

T=a+b

where;

T=total amount of mixture

a=total amount of liquid 1

b=total amount of liquid 2

In our case;

a=7/8 cup

b=9/10 cup

replacing;

T=(7/8)+(9/10)=1 31/40 cups

The total amount of mixture=1 31/40 cups

3 0

3 years ago

Suppose the weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams. The weights

user100 [1]

Answer:

a) 0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.

b) The weight that 80% of the apples exceed is of 78.28g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams.

This means that $\mu = 85, \sigma = 8$

a. Find the probability a randomly chosen apple exceeds 100 g in weight.

This is 1 subtracted by the p-value of Z when X = 100. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{100 - 85}{8}$

$Z = 1.875$

$Z = 1.875$ has a p-value of 0.9697

1 - 0.9696 = 0.0304

0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.

b. What weight do 80% of the apples exceed?

This is the 100 - 80 = 20th percentile, which is X when Z has a p-value of 0.2, so X when Z = -0.84.

$Z = \frac{X - \mu}{\sigma}$

$-0.84 = \frac{X- 85}{8}$

$X - 85 = -0.84*8$

$X = 78.28$

The weight that 80% of the apples exceed is of 78.28g.

5 0

3 years ago

Can you help meee get this ?

nikdorinn [45]

Answer: y=4/5x-2 or y=4/5x+(-2)

Step-by-step explanation:

The formula for slope-intercept form is y=mx+b.

To find the slope, we can use the formula $m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$ and plugging in the points given.

$m=\frac{6-2}{10-5} =\frac{4}{5}$

We know our slope is 4/5. We can plug this into our slope-intercept form and then plug in a point to find b, y-intercept.

$y=\frac{4}{5} x+b$

$2=\frac{4}{5}(5)+b$

$2=4+b$

$b=-2$

We know the y-intercept is -2.

THe final equation is y=4/5x-2 or y=4/5x+(-2).

4 0

3 years ago