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shtirl [24]
3 years ago
7

Adam wants to buy a surfboard that costs $249. He has a summer job that pays him $6 per hour. The function y=6.50h represents Ad

am’s total savings. To be able to buy the surfboard, how many hours does he need to work?
Mathematics
1 answer:
Mrrafil [7]3 years ago
4 0

Answer:

38.3 hours

Step-by-step explanation:

Given data

We have been given the function that describes his pay, which is

y=6.50h

Where h is the number of hours

now we have the amount y= 249

substitute

249=6.50*h

make the subject of the formula

249/6.5=h

h=38.3

Hence he needs to work for at least 38.3 hours

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Beverly drew the line AB shown below. She then constructed line DC which is the perpendicular bisector of AB.
earnstyle [38]

Answer:

D

Line segments are congruent due to the side-angle-side congruence postulate.

Step-by-step explanation:

DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:

AE = BE

Also DE ≅ DE (reflexive property of congruence)

Also ∠AED = ∠BED = 90° (perpendicular bisector)

We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD

5 0
2 years ago
3(-4y+5)-8(-2y-4) can be written in the form (ay+b) by following the following steps:
Dominik [7]

Answer:

Does the correct answer necessarily HAVE to be one of those three options? Because I'm looking at the steps and there seems to no mistakes at all. Forgive me if I'm mistaken though!

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The prices of all college textbooks follow a bell-shaped distribution with a mean of $113 and a standard deviation of $12. Using
Soloha48 [4]

Step-by-step explanation:

In statistics, the empirical rule states that for a normally distributed random variable,

  • 68.27% of the data lies within one standard deviation of the mean.

  • 95.45% of the data lies within two standard deviations of the mean.

  • 99.73% of the data lies within three standard deviations of the mean.

In mathematical notation, as shown in the figure below (for a standard normal distribution), the empirical rule is described as

                             \Phi(\mu \ - \ \sigma \ \leq X \ \leq \mu \ + \ \sigma) \ = \ 0.6827 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi(\mu \ - \ 2\sigma \ \leq X \ \leq \mu \ + \ 2\sigma) \ = \ 0.9545 \qquad (4 \ \text{s.f.}) \\ \\ \\ \Phi}(\mu \ - \ 3\sigma \ \leq X \ \leq \mu \ + \ 3\sigma) \ = \ 0.9973 \qquad (4 \ \text{s.f.})

where the symbol \Phi (the uppercase greek alphabet phi) is the cumulative density function of the normal distribution, \mu is the mean and \sigma is the standard deviation of the normal distribution defined as N(\mu, \ \sigma).

According to the empirical rule stated above, the interval that contains the prices of 99.7% of college textbooks for a normal distribution N(113, \ 12),

                \Phi(113 \ - \ 3 \ \times \ 12 \ \leq \ X \ \leq \ 113 \ + \ 3 \ \times \ 12) \ = \ 0.9973 \\ \\ \\ \-\hspace{1.75cm} \Phi(113 \ - \ 36 \ \leq \ X \ \leq \ 113 \ + \ 36) \ = \ 0.9973 \\ \\ \\ \-\hspace{3.95cm} \Phi(77 \ \leq \ X \ \leq \ 149) \ = \ 0.9973

Therefore, the price of 99.7% of college textbooks falls inclusively between $77 and $149.

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Answer:

C or A

Step-by-step explanation:

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3 years ago
.Solve the following equations, leaving your answer as a fraction where appropriate: 10(2x + 12) = -7(x + 12) ​
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The answer is going to be 68/9 and the fraction is negative.
hope this help!
8 0
2 years ago
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