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Mariulka [41]
3 years ago
14

Complete the equation of the line through [1,4] and [2,2]

Mathematics
1 answer:
son4ous [18]3 years ago
6 0

First find the slope of the line so change in y over change in x so 4-2/1-2 which is 2/-1 so -2 is your slope then plug that as well as a point from above to find your y intercept so y=mx+b 2=-2(2)+ b then you have 2=-4+b then add 4 to each side and you find b is six then you make ur equation from your slope and y int(b) y=-2x+6
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A simple random sample of 12 iPhone's being sold over the Internet had the
bearhunter [10]

Answer:

The upper bound is 399.5

Step-by-step explanation:

Let's start by calculating the mean value of the distribution as the addition of all values given divided by 12:

Average = 289.75.

If the standard deviation is 56, then the upper bound in 95% the confidence interval for the mean price of the phones is going to be given by the mean value added to 56 times 1.96 (since 95% of the population is withing 1.96 times the standard deviation)

That is: 289.75 + 56 * 1.96 = 399.51

which rounded to one decimal place gives: 399.5

7 0
3 years ago
Kevin and Randy Muise have a jar containing 32 ​coins, all of which are either quarters or nickels. The total value of the coins
givi [52]

Answer:

19 quarters and 13 nickles

Step-by-step explanation:

You have 32 coins in your pocket consisting of nickels and quarters with a total value of $5.40

How many nickels and quarters do you have?

Step 1: Setup Coin Value and Coin Total Equation:

Coin Value Equation → 0.05n + 0.25q = $5.40 where n = nickels and q = quarters

Coin Total Equation → n + q = 32

Step 2: Rearrange Coin Total Equation in terms of nickels (n)

n = 32 - q ← Revised Coin Total Equation

Step 3: Plug in our Revised Coin Total Equation for n into our Coin Value Equation:

0.05(32 - q) + 0.25q = $5.40

0.05(32) - 0.05(q) + 0.25q = $5.40

1.6 - 0.05q + 0.25q = $5.40

1.6 + (0.25 - 0.05)q = $5.40

1.6 + 0.2q = $5.40

Step 4: Subtract 1.6 from each side of the equation to isolate q

1.6 - 1.6 + 0.2q = $5.40 - 1.6

0.2q = 3.8

Step 5: Divide each side of the equation by 0.2 to isolate q

0.2q

0.2

=

3.8

0.2

q = 19

Step 6: Using our value for q, Solve for n using our Coin Total Equation:

n + 19 = 32

Subtracting 19 from both sides, we get n + 19 - 19 = 32 - 19

n = 13

Summarizing our word problem, we see that 19 quarters and 13 nickels adds up to $5.40

8 0
2 years ago
Julie wrote the rate $108 in 6 weeks as a unit rate. Find her mistake and correct it.
Goshia [24]
Julie wants to express $108 in 6 weeks as a unit rate.

Her errors are:
$108 = $54   (Not true)
6 weeks = 3 weeks (Not true).

Instead,
\frac{\$108}{6\,weeks} \\ = \frac{\$54 \times 2}{3\,weeks \times 2} \\ = \frac{\$54}{3\,weeks} \\ =18 \,  \frac{\$}{week}

The correct unit rate is 18 $/week.
6 0
3 years ago
True or false:
fenix001 [56]

Answer:

True ;]

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Solve for n. 5/30= n/60
drek231 [11]
N=10 ...................................
6 0
3 years ago
Read 2 more answers
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