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kondaur [170]
3 years ago
6

2

Mathematics
1 answer:
kotykmax [81]3 years ago
6 0

Answer:

16.5 hours

Step-by-step explanation:

The bicycle costs $240.  Eva already has $42.  She is making $12 per hour.

240 = 12x + 42

Solve for x to find out how many hours Eva needs to work to buy the bicycle.

240 = 12x + 42

240 - 42 = (12x + 42) - 42

198 = 12x

198/12 = (12x)/12

16.5 = x

Eva needs to work 16.5 hours to be able to buy the bikw.

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Why do we study patterns in mathematics
Mariulka [41]
Patterns allow someone to make educated guesses.
4 0
3 years ago
Find the slope of a line parallel to x+y=14
Alex787 [66]

Answer:

Slope = -1

Step-by-step explanation:

x+y = 14

First convert the equation into slope-intercept form

y = -x+14

Parallel lines have the same slope, so its -1.

4 0
3 years ago
A suburban specialty restaurant has developed a single drive-thru window. Customers order, pay, and pick up their food at the sa
d1i1m1o1n [39]

Answer:  Option 'c' is correct.

Step-by-step explanation:

Since we have given that

Average number of arrivals = 6 per hour

Service rate = 3 every 15 minutes

Service rate is given by

\mu=\dfrac{60\times 3}{15}=12

So, the average number of customers in the system is given by

\dfrac{\mu}{\mu-\lambda}\\\\=\dfrac{6}{12-6}\\\\=\dfrac{6}{6}\\\\=1

Hence, Option 'c' is correct.

8 0
3 years ago
Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x overbarequals100.
LenaWriter [7]

Answer:

\hat y = -3.34+ 1.07(91) = 94.03

Step-by-step explanation:

Data given

n=20 represent the sampel size

\bar X = 100.39 represent the sample mean for the independent variable (IQ score of the husband)

\bar y = 103.6 represent the sample mean for the dependent variable.

r =0.925 represent the correlation coefficient

Solution to the problem

The general expression for a linear model is given by:

y = \beta_0 + \beta_1 x

Where \beta_0 is the intercept and \beta_1 the slope

For this case we have a linear model given by the following expression:

\hat y = -3.34 +1.07 x

Where -3.34 is the intercept and 1.07 the slope. In order to find the best predicted value when X = 91 we just need to replace into the equation the value of 91 and we got this:

\hat y = -3.34+ 1.07(91) = 94.03

On this case is the best predicted value because E(\hat y) = y we have an unbiased estimator.

8 0
3 years ago
Can someone explain this to me please?
IrinaK [193]
8/x^4

I multiply to get everything out of the Parentheses.
Then a lot more steps
But the answers is 8 over x to the power of 4
6 0
2 years ago
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