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4 years ago

14

A union charges monthly dues of $6.00 plus $0.15 for each hour worked during the month. A union member's dues for March were $30

.60. How many hours did the union member work during the month of March?

1 answer:

faltersainse [42]4 years ago

8 0

Answer:

4.5

Step-by-step explanation:

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Jose plans to watch 3 movies each month. Write an equation to represent the total number of movies n that he will watch in m mon

Ostrovityanka [42]

I think that the answer to this is: n X m

3 0

3 years ago

Which expressions are equivalent to 2^5 2^4

KIM [24]

Answer with explanation:

The given expression is

$=2^5 \times 2^4$

→As, multiplication of real number follows Commutative property.

Which states that, if a and b are any two real numbers , then

a × b= b × a

The Expression equivalent to ,the above expression are

$1. 2^4 \times 2^5\\\\ 2. 2^5=32 \text{and} 2^4=16, \text{So} 2^5 \times 2^4=32 \times 16=512$

5 0

3 years ago

Read 2 more answers

Find the mean median and mode of the data set round to the nearest tenth 15,13,9,9,71,11,10,13,1,13

ser-zykov [4K]

Answer:

Organize: 1, 9, 9, 10, 11, 13, 13, 13, 15, 71

Mean: 16.5

Median: 12

Mode: 13

Step-by-step explanation:

Mean (average): 1+9+9+10+11+13+13+13+15+71 = 165 165/10 = 16.5

10-> how many numbers

Median (middle #): 1, 9, 9, 10, <u>11, 13</u>, 13, 13, 15, 71

(11+13)/2 = 12 <---11 and 13 because there are two middle numbers, so you calculate the average of those two #s

Mode (most frequent #): 1, 9, 9, 10, 11, <em><u>13, 13, 13</u></em>, 15, 71 --->13 appears the most

6 0

3 years ago

Read 2 more answers

A manufacturer knows that their items have a normally distributed length, with a mean of 16.2 inches, and standard deviation of

statuscvo [17]

Answer:

57.926%

Step-by-step explanation:

Calculation for the probability that it is less than

16.4 inches long

Using this formula

z = (X - μ) / σ

Where,

X represent Date=16.4

μ represent Mean=16.2

σ represent Standard deviation=0.9 inches

Let plug in the formula

z = (16.4 - 16.2) /0.9 inches

z=0.2/0.9 inches

z = 0.2

Using Z-score table to find the area of 0.2

z=0.57926*100

z=57.926%

Therefore the probability that it is less than

16.4 inches long is 57.926%

6 0

3 years ago

A bag contain 3 black balls and 2 white balls.

Troyanec [42]

Answer:

Step-by-step explanation:

Total number of balls = 3 + 2 = 5

1)

a)

$Probability \ of \ taking \ 2 \ black \ ball \ with \ replacement\\\\ = \frac{3C_1}{5C_1} \times \frac{3C_1}{5C_1} =\frac{3}{5} \times \frac{3}{5} = \frac{9}{25}\\\\$

b)

$Probability \ of \ one \ black \ and \ one\ white \ with \ replacement \\\\= \frac{3C_1}{5C_1} \times \frac{2C_1}{5C_1} = \frac{3}{5} \times \frac{2}{5} = \frac{6}{25}$

c)

Probability of at least one black( means BB or BW or WB)

$=\frac{3}{5} \times \frac{3}{5} + \frac{3}{5} \times \frac{2}{5} + \frac{2}{5} \times \frac{3}{5} \\\\= \frac{9}{25} + \frac{6}{25} + \frac{6}{25}\\\\= \frac{21}{25}$

d)

Probability of at most one black ( means WW or WB or BW)

$=\frac{2}{5} \times \frac{2}{5} + \frac{3}{5} \times \frac{2}{5} \times \frac{2}{5} + \frac{3}{5}\\\\= \frac{4}{25} + \frac{6}{25} + \frac{6}{25}\\\\=\frac{16}{25}$

2)

a) Probability both black without replacement

$=\frac{3}{5} \times \frac{2}{4}\\\\=\frac{6}{20}\\\\=\frac{3}{10}$

b) Probability of one black and one white

$=\frac{3}{5} \times \frac{2}{4}\\\\=\frac{6}{20}\\\\=\frac{3}{10}$

c) Probability of at least one black ( BB or BW or WB)

$=\frac{3}{5} \times \frac{2}{4} + \frac{3}{5} \times \frac{2}{4} + \frac{2}{5} \times \frac{3}{4}\\\\=\frac{6}{20} + \frac{6}{20} + \frac{6}{20} \\\\=\frac{18}{20} \\\\=\frac{9}{10}$

d) Probability of at most one black ( BW or WW or WB)

$=\frac{3}{5} \times \frac{2}{4} + \frac{2}{5} \times \frac{1}{4} + \frac{2}{5} \times \frac{3}{4}\\\\=\frac{6}{20} + \frac{2}{20} + \frac{6}{20} \\\\=\frac{14}{20}\\\\=\frac{7}{10}$

6 0

3 years ago