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MArishka [77]
2 years ago
15

Y = 3x – 10 y = 6x – 22

Mathematics
1 answer:
Nady [450]2 years ago
5 0

Answer:

x = 4

y = 2

Step-by-step explanation:

y = 3x – 10 (Multiply by -1)

y = 6x – 22

y = 6x – 22

-y = -3x + 10

0 = 3x - 12

3x = 12

x = 4

y = 3x – 10

y = 3(4) - 10

y = 12 - 10

y = 2

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An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average birth weight was x = 119.6 ounc
Evgen [1.6K]

Answer:

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\mu_{\bar X}= \mu = 119.6

And now for the deviation we have this:

SE_{\bar X} = \frac{6.5}{\sqrt{25}}=1.3

So then the correct answer for this caee would be:

c. 1.30 ounces.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\mu_{\bar X}= \mu = 119.6

And now for the deviation we have this:

SE_{\bar X} = \frac{6.5}{\sqrt{25}}=1.3

So then the correct answer for this caee would be:

c. 1.30 ounces.

6 0
3 years ago
2(3×+4)=4×+12 i need help with this problem​
Tema [17]

Answer:

x = 2

Step-by-step explanation:

2(3x + 4) = 4x + 12

6x + 8 = 4x + 12

2x + 8 = 12

2x = 4

x = 2

3 0
3 years ago
WILL MARK BRAINLIEST! Solve for x and y in the figure below. Thank you!
il63 [147K]

Answer:

x=64

y=40

Step-by-step explanation:

2x+x-12=180

3x=192

x=64

3y+y+20=180

4y=160

y=40

7 0
3 years ago
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Please help me please help please help me please thank You
vlabodo [156]

Answer:

05

Step-by-step explanation:

1

8 0
3 years ago
Find the 11th term of the sequence 11, 19, 27, 35
iragen [17]

Answer:

  91

Step-by-step explanation:

Each term is 8 more than the last, so you can write the terms of the sequence until you get there:

  11, 19, 27, 35, 43, 51, 59, 67, 75, 83, 91

__

Or, you can use the formula for the general term of an arithmetic sequence. You have first term a1=11 and common difference d=8.

  an = a1 +d(n -1)

  a11 = 11 + 8(11 -1) = 11 + 80

  a11 = 91

7 0
3 years ago
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