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AveGali [126]
3 years ago
9

Segment Addition Postulate ( help )

Mathematics
1 answer:
Komok [63]3 years ago
4 0

Answer:

x = 13

Step-by-step explanation:

NM + ML + LK = x - 6 + 9 + 2x - 19

NK = 23

x - 6 + 9 + 2x - 19 = 23

3x - 16 = 23

3x = 39

x = 13

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Which point on the graph shows the amount of water in the bucket after 1 second? Hint: Type your answer in the form (x coordinat
Taya2010 [7]

Answer:

\displaystyle \left(1,\frac{5}{12}\right)

Step-by-step explanation:

<u>Graphs</u>

The graph shows the amount of water in gallons as a function of time in seconds.

We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.

Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

w=mt+b

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.

Using the point (0,0):

0=m(0)+b

It follows that b=0

The equation now takes the form:

w=mt

Using the point (12,5):

5=m(12)

We find m:

\displaystyle m=\frac{5}{12}

The final equation is:

\displaystyle w=\frac{5}{12}\cdot t

Substituting t=1:

\displaystyle w(1)=\frac{5}{12}\cdot (1)=\frac{5}{12}

The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:

\boxed{\displaystyle \left(1,\frac{5}{12}\right)}

6 0
3 years ago
Find the arithmetic mean of the sales per day in a fair price shop in a week.
BabaBlast [244]

Answer:

11060.83

Step-by-step explanation:

Sum = 10000 + 10250 + 10790 + 9865 + 15350 + 10110

= 66365

No. of days (N) = 6

Arithmetic mean = Sum/ N

= 66365/6

= 11060.83

4 0
3 years ago
Read 2 more answers
A random sample of 35 business students required an average of 50.7 minutes to complete a statistics exam. Assume that the popul
love history [14]

Answer:

(47.3, 54.1)

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{10.4}{\sqrt{35}} = 3.4

The lower end of the interval is the sample mean subtracted by M. So it is 50.7 - 3.4 = 47.3

The upper end of the interval is the sample mean added to M. So it is 50.7 + 3.4 = 54.1

The answer is (47.3, 54.1).

6 0
3 years ago
What number must we multiply by -2/3 to get a product of 3/4?
kap26 [50]

Answer:

5/4

Step-by-step explanation:

hope this helps ;)

5 0
3 years ago
Find the product of (5x+20) and the multiplicative inverse of 5.
Fiesta28 [93]

Answer:x

+

4

Explanation:

Product is the answer to a multiplication.

The multiplicative inverse is the same as the reciprocal.

(

5

x

+

20

)

×

1

5

=

5

x

+

20

5

=

x

+

4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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