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Aleksandr-060686 [28]
3 years ago
7

A contractor purchases 7 dozen pairs of padded work gloves for $103.32. He incorrectly calculates the unit price at $14.76 per p

air? What is the correct price?What error did the contractor likely make?
Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

Answer:

The correct unit price would be $1.23.

The contractor divided 103.32 by 7, resulting in an error.

Step-by-step explanation:

If we know a dozen equals 12, then 7 dozen looks like:

7(12)

Multiply.

84

Now we know the contractor purchases 84 pairs of padded work gloves.

Let's find our unit price:

<em>unit price =</em> \frac{cost}{units}

Substitute.

<em>unit price = </em>\frac{103.32}{84}

Divide.

<em>unit price = </em>1.23<em />

<em>__</em>

To find the error of the contractor, let's try substituting in a number (7) provided in the question to see if we get $14.76 per pair:

\frac{103.32}{7}

Divide.

14.76

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6. Suppose that a fair coin is tossed 2 times, and the result of each toss (H or T) is recorded.
nekit [7.7K]

Answer:

a) S= {HH, HT, TH, TT}

b) P(X=0) = (2C0) (0.5)^0 (1-0.5)^{2-0}= 0.25

P(X=1) = (2C1) (0.5)^1 (1-0.5)^{2-1}= 0.5

P(X=2) = (2C2) (0.5)^2 (1-0.5)^{2-2}= 0.25

And we have the following table:

X     |     0   |     1   |      2

P(X) |  0.25 |  0.5 |  0.25

Step-by-step explanation:

Let's define first some notation

H= represent a head for the coin tossed

T= represent tails for the coin tossed

We are going to toss a coin 2 times so then the size of the sample size is 2^2 = 4

a. What is the sample space for this chance experiment?

The sampling space on this case is given by:

S= {HH, HT, TH, TT}

b. For this chance experiment, give the probability distribution for the random variable of the total number of heads observed.

The possible values for the number of heads are X=0,1,2. If we assume a fair coin then the probability of obtain heads is the same probability of obtain tails and we can find the distribution like this:

P(X=0) = (2C0) (0.5)^0 (1-0.5)^{2-0}= 0.25

P(X=1) = (2C1) (0.5)^1 (1-0.5)^{2-1}= 0.5

P(X=2) = (2C2) (0.5)^2 (1-0.5)^{2-2}= 0.25

And we have the following table:

X     |     0   |     1   |      2

P(X) |  0.25 |  0.5 |  0.25

5 0
3 years ago
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Step-by-step explanation:

4 0
3 years ago
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3241004551 [841]

Answer:

\frac{5x - 8}{3}

Step-by-step explanation:

Find the LCM of the denominators and then solve:

\frac{4x - 5}{2} - \frac{2x - 1}{6} \\\\

\frac{4x - 5}{2} - \frac{2x - 1}{6} \\\\\frac{3(4x - 5) - 2x - 1}{6} \\\\\frac{12x - 15 - 2x - 1}{6}\\\\\frac{10x - 16}{6}\\\\ \frac{2(5x - 8)}{2 * 3} \\\\ \frac{5x - 8}{3}

4 0
3 years ago
Find NL. Not sure to to solve this.
Paul [167]

Answer:

NL= 2 × HI

x+24 =2 × (X+16)

x+24=2x + 32

2x-x= 24-32

x= – 8

NL=x+24 = –8 +24= 16

So ; NL= 16

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4 0
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Vanessa bought a total of 5⁄3 pounds of green and red peppers. She bought 2⁄3 of a pound of green peppers. How many pounds of re
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Answer:

1  pound or 3/3

Step-by-step explanation:

Subtract the green peppers from the total (5/3 - 2/3 = 3/3)

To convert to a whole number, divide 3 by 3, which equals 1, so 1 whole pound of red peppers.

8 0
3 years ago
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