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Schach [20]
3 years ago
12

Marta and Kim are sisters. Five years ago Kim's age was twice as great as martas age. If Marta is no m years old, what expressio

n represents Kim's age now?
Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0

Answer:

y = 2m-5

Kim's age now is y = 2m-5

Step-by-step explanation:

Let m represent martas age now and y represent Kim's age now

Given;

Five years ago Kim's age was twice as great as martas age.

(y-5) = 2(m-5)

Solving for y;

y-5 = 2m-10

y = 2m-10+5

y = 2m-5

Kim's age now is y = 2m-5

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Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence i
Pavlova-9 [17]

Answer:

\bar X = \frac{Lower +Upper}{2}

\bar X= \frac{1.9+3.3}{2}= 2.6

And the margin of error with this one:

\bar X = \frac{Upper-Lower}{2}

ME = \frac{3.3-1.9}{2}= 0.7

Step-by-step explanation:

Assuming that the parameter of interest is the sample mean \mu. And we can estimate this parameter with a confidence interval given by this formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

For this case the confidence interval is given by (1.9, 3.3)

Since the confidence interval is symmetrical we can estimate the sample mean with this formula:

\bar X = \frac{Lower +Upper}{2}

\bar X= \frac{1.9+3.3}{2}= 2.6

And the margin of error with this one:

\bar X = \frac{Upper-Lower}{2}

ME = \frac{3.3-1.9}{2}= 0.7

7 0
3 years ago
Yesterday morning at 8 a.m. the temperature was -14˚F. At noon it was 10 degrees warmer. The temperature increase between noon a
OLEGan [10]
The temperature was -14°F at 8 a.m.

At noon is was 10 degrees warmer - the temperature increase was 10°F
-14°F + 10°F = -4°F

The tempertaure increase between noon and 4 p.m. was twice the previous increase in temperature, which was 10°F.
10°F x 2 = 20°F

We want to know the temperature at 4 p.m. so we just add it up to the previous result.
-4°F + 20°F = 16°F

16°F is the correct answer
4 0
3 years ago
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What is the next term in the sequence?
-Dominant- [34]

Answer: 51

Step-by-step explanation:

6 0
3 years ago
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What is x in 2x − 3 + 4x = 21
Serggg [28]

Answer: x = 4

Step-by-step explanation:

2x - 3 + 4x = 21

6x - 3 = 21

6x - 3 (+3)  = 21 (+3)

6x = 24

24/6

x = 4

7 0
2 years ago
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EMERGENCY (NEED HEP NOW!!!)
diamong [38]

Answer:

x=-2.25,y=-2.25

Step-by-step explanation:

The given system is

4x - y =  - 9 \\ 3x - 3y = 0

We want to solve the system for x and y that makes the system true.

Let us multiply the first equation by 3 while maintaining the second equation:

12x -3 y =  - 27 \\ 3x - 3y = 0

Subtract the current second equation from the first one.

12x =  - 27

Divide through by 12:

x =  -  \frac{27}{12}  =  - 2.25

From the second equation we have:

3x = 3y

This implies that:

x = y =  - 2.25

8 0
3 years ago
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