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soldi70 [24.7K]
3 years ago
7

Find the equation of the line.​

Mathematics
1 answer:
anygoal [31]3 years ago
7 0

Answer:

y=4x + 7

Step-by-step explanation:

Line=y=ax+b

b = where the line crosses the y-axis (where x=0). Here, it's 7.

a= vertical distance ÷ horizontal distance.

You can take any pair of distances to a point on the line, for example (4,1) is easy to read in the graph.

x=0 to 1 (horizontal distance=1-0=1)

and

y= 0 to 4 (vertical distance= 4-0=4)

a=4÷1=4.

So, the answer is y=4x + 7 as a= 4 and b=7.

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Hector is competing in a 42-mile bicycle race. He has
m_a_m_a [10]

Answer:

Let x = the hours needed for Wanda to catch up to Hector.

Hector has already completed 18 miles. Hector travels at 12 miles per hour.

After x more hours, Hector will travel

18 + 12x miles

Wanda travels at 16 miles per hour. In x hours, she travels

16x miles

If Wanda catches up to Hector, then

16x = 18 + 12x

4x = 18

x = 4.5 hours

Answer:  4 hours, 30 minutes (or 4.5 hours)

Step-by-step explanation:

7 0
2 years ago
The manager of a supermarket would like to determine the amount of time that customers wait in a check-out line. He randomly sel
garri49 [273]

Complete question:

The manager of a supermarket would like to determine the amount of time that customers wait in a check-out line. He randomly selects 45 customers and records the amount of time from the moment they stand in the back of a line until the moment the cashier scans their first item. He calculates the mean and standard deviation of this sample to be barx = 4.2 minutes and s = 2.0 minutes. If appropriate, find a 90% confidence interval for the true mean time (in minutes) that customers at this supermarket wait in a check-out line

Answer:

(3.699, 4.701)

Step-by-step explanation:

Given:

Sample size, n = 45

Sample mean, x' = 4.2

Standard deviation \sigma = 2.0

Required:

Find a 90% CI for true mean time

First find standard error using the formula:

S.E = \frac{\sigma}{\sqrt{n}}

= \frac{2}{\sqrt{45}}

= \frac{2}{6.7082}

SE = 0.298

Standard error = 0.298

Degrees of freedom, df = n - 1 = 45 - 1 = 44

To find t at 90% CI,df = 44:

Level of Significance α= 100% - 90% = 10% = 0.10

t_\alpha_/_2_, _d_f = t_0_._0_5_, _d_f_=_4_4 = 1.6802

Find margin of error using the formula:

M.E = S.E * t

M.E = 0.298 * 1.6802

M.E = 0.500938 ≈ 0.5009

Margin of error = 0.5009

Thus, 90% CI = sample mean ± Margin of error

Lower limit = 4.2 - 0.5009 = 3.699

Upper limit = 4.2 + 0.5009 = 4.7009 ≈ 4.701

Confidence Interval = (3.699, 4.701)

5 0
3 years ago
PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5 STAR RATING
natta225 [31]

Answer:

1/3

Step-by-step explanation:

4 0
1 year ago
Y = 15x + 10, where y is the total cost of renting 1 bicycle on the boardwalk for x hours. Determine whether the function is pro
vova2212 [387]

Answer:

The function is non-proportional.

Step-by-step explanation:

If the function was proportional, when the number of hours spent riding the bicycle is equal to 0, the total cost of renting the bicycle would also be 0. In other words, the function would be proportional if y=0 when x=0. However, this is not the case.

y=15x+10

Plug 0 into the equation as x

y=15(0)+10\\y=10

When 1 bicycle has been rented for 0 hours, the customer still has to pay 10 dollars just for renting it. When x=0, y=10. This means that the function is non-proportional.

I hope this helps!

4 0
3 years ago
All of the points in which quadrant have negative x-coordinates and negative y-coordinates?
pentagon [3]
Quadrant 3 or III
hope this helped

3 0
3 years ago
Read 2 more answers
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