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Tomtit [17]
3 years ago
15

Eric spent $21.85, including sales tax, on 2 jerseys and 3 pairs of socks. The jerseys cost $6.75 each and the total sales tax w

as $1.03. Fill in the table with the correct prices.
Item Cost
Cost of each jersey $
Cost of each pair of socks $
Cost of sales tax $
Mathematics
1 answer:
maria [59]3 years ago
6 0

Answer

Cost of each jersey $6.75

Cost of each pair of socks $4.69

Cost of sales tax $1.03

Step-by-step explanation:

To find the cost of the socks you fist add $6.75 + $1.03 and you get $7.78.Then you subtract that by $21.85.After that you do $14.07 divided by 3 and you get $4.69.

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Twenty percent of drivers driving between 10 pm and 3 am are drunken drivers. In a random sample of 12 drivers driving between 1
Lesechka [4]

Answer:

(a) 0.28347

(b) 0.36909

(c) 0.0039

(d) 0.9806

Step-by-step explanation:

Given information:

n=12

p = 20% = 0.2

q = 1-p = 1-0.2 = 0.8

Binomial formula:

P(x=r)=^nC_rp^rq^{n-r}

(a) Exactly two will be drunken drivers.

P(x=2)=^{12}C_{2}(0.2)^{2}(0.8)^{12-2}

P(x=2)=66(0.2)^{2}(0.8)^{10}

P(x=2)=\approx 0.28347

Therefore, the probability that exactly two will be drunken drivers is 0.28347.

(b)Three or four will be drunken drivers.

P(x=3\text{ or }x=4)=P(x=3)\cup P(x=4)

P(x=3\text{ or }x=4)=P(x=3)+P(x=4)

Using binomial we get

P(x=3\text{ or }x=4)=^{12}C_{3}(0.2)^{3}(0.8)^{12-3}+^{12}C_{4}(0.2)^{4}(0.8)^{12-4}

P(x=3\text{ or }x=4)=0.236223+0.132876

P(x=3\text{ or }x=4)\approx 0.369099

Therefore, the probability that three or four will be drunken drivers is 0.3691.

(c)

At least 7 will be drunken drivers.

P(x\geq 7)=1-P(x

P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]

P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]

P(x\leq 7)=1-[0.9961]

P(x\leq 7)=0.0039

Therefore, the probability of at least 7 will be drunken drivers is 0.0039.

(d) At most 5 will be drunken drivers.

P(x\leq 5)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)

P(x\leq 5)=0.06872+0.20616+0.28347+0.23622+0.13288+0.05315

P(x\leq 5)=0.9806

Therefore, the probability of at most 5 will be drunken drivers is 0.9806.

5 0
3 years ago
Martin Luther King, Jr. Middle School has a bake sale, selling only cookies and cupcakes. For every 15 cookies sold, there are 7
goldfiish [28.3K]
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3 years ago
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What is the slope of a line that is perpendicular to the line represented by the equation y=3/4x-1/2?
kherson [118]
The answer is:   " - (4/3) " .
____________________________________
Explanation:
____________________________________
The original equation given has a slope of (3/4).

Note:  We know this since the equation for the slope of the line is written in "slope-intercept form" ; also known as: "point-slope form";  that is:

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____________________________________________________
The slope of a line PERPENDICULAR to an equation, when written in "slope-intercept form", is the "negative reciprocal" of the slope of the original line.

Hence, the negative reciprocal of "(3/4)"  is:  "-(4/3)" .
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Evaluate the expression 2b to the third power+ 5 when b=5
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Answer:

1005

Step-by-step explanation:

10 to the third power + 5 =

1000 + 5 =

1005

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