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zzz [600]
3 years ago
8

On a two-week job, a repairman works a total of 60 hours. He charges $80 plus $35 per hour. An equation shows this relationship,

where x is the number of hours and y is the total fee. What number is the slope of the line shown by the equation?
Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0

y=35x+80

since gradient (slope) is M of Mx+C, which is how much he charges/hour minus the constant, the slope would be 35

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A right-angled triangle has one side of length 1.5 cm. Its hypotenuse is 6 cm. How long is its other side?
irga5000 [103]

Answer:

Step-by-step explanation:

pythagorean theorem. a^2+b^2=c^2

1.5^2+b^2=6^2

2.25+b^2=12

12-2.25=b^2

b^2=9.75

take the square root

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Answer:

V=1/3hπr². Basically, 1/3 x height x 3.14 (pi) x radius squared.

Step-by-step explanation:

The formula of figure 2 would be 1/3 x 15 x 3.14 x 8 squared.  The volume of figure 2 would be 1005.30965

the formula for figure 3 would be 1/3 x 15 x 3.14 x 4 squared. The volume of it would be 251.32741

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Simplify 150−55t to get the correct answer
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62% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the
velikii [3]

Answer:

a) 0.1829

b) 0.6823

c) 0.0413

Step-by-step explanation:

We are given the following information:

We treat adult having little confidence in the newspaper as a success.

P(Adult have little confidence) = 62% = 0.62

Then the number of adults follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

a) exactly 5

P(x =5)\\\\=\binom{10}{5}(0.62)^5(1-0.62)^5\\\\=0.1829

0.1829 is the probability that exactly 5 out of 10 U.S.adults have very little confidence in newspapers.

b) atleast six

P(x \geq 6)\\\\ = P(x = 6) + P(x = 7)+P(x = 8)+P(x = 9)+P(x=10)\\\\= \displaystyle\sum \binom{10}{n}(0.62)^n(1-0.62)^{10-n}, n =6,7,8,9,10\\\\= 0.6823

0.6823 is the probability that atleast 6 out of 10 U.S. adults have very little confidence in newspapers.

c) less than four

P(x

0.0413 is the probability that less than 4 out of 10 U.S. adults have very little confidence in newspapers.

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3 years ago
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