What's y-3x+10 in standard form

A population of values has a normal distribution with μ=204.9μ=204.9 and σ=81.9σ=81.9. You intend to draw a random sample of siz

marin [14]

Answer:

7. μ=204.9 and σ=5.4968

8. μ=75.9 and σ=0.7136

9. p=0.9452

Step-by-step explanation:

7. - Given that the population mean =204.9 and the standard deviation is 81.90 and the sample size n=222.

-The sample mean, $\mu_x$ is calculated as:

$\mu_x=\mu=204.9, \mu_x=sample \ mean$

-The standard deviation, $\sigma_x$ is calculated as:

$\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{81.9}{\sqrt{222}}\\\\=5.4968$

8. For a random variable X.

-Given a X's population mean is 75.9, standard deviation is 9.6 and a sample size of 181

-#The sample mean, $\mu_x$ is calculated as:

$\mu_x=\mu\\\\=75.9$

#The sample standard deviation is calculated as follows:

$\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{9.6}{\sqrt{181}}\\\\=0.7136$

9. Given the population mean, μ=135.7 and σ=88 and n=59

#We calculate the sample mean;

$\mu_x=\mu=135.7$

#Sample standard deviation:

$\sigma_x=\frac{\sigma}{\sqrt{n}}\\\\=\frac{88}{\sqrt{59}}\\\\=11.4566$

#The sample size, n=59 is at least 30, so we apply Central Limit Theorem:

$P(\bar X>117.4)=P(Z>\frac{117.4-\mu_{\bar x}}{\sigma_x})\\\\=P(Z>\frac{117.4-135.7}{11.4566})\\\\=P(Z>-1.5973)\\\\=1-0.05480 \\\\=0.9452$

Hence, the probability of a random sample's mean being greater than 117.4 is 0.9452

7 0

3 years ago

Lily bottles 4 1/8 quarts of barbecue sauce then she bottles another 5 7/8 quarts of barbecue sauce how many 1 cup servings of b

Viktor [21]

10 cups because 4 1/8 + 5 7/8 = 10

4 0

3 years ago

Content attribution

chubhunter [2.5K]

Answer:

6

Step-by-step explanation:

The mode of a data set, is the value that occurs the most often. There can be multiple modes, if two values have the same amount of frequency in a data set as well as having the highest frequency. So in this case case it appears there is only 1 mode with that being 6, since it appears 3 times. with no other value appearing this much in the data set.

4 0

1 year ago

From 250 kilograms of milk 12 kg is obtained

Lina20 [59]

12kg,=12000gm

now 12000/200= 60

250kg= 250000 /60=4166.66

So 4166.66 gm of milk will be needed to produce 200 gm of oil.

7 0

2 years ago

Read 2 more answers

Select the correct answer. What are the solutions of this quadratic equation? -3x2 + 1 = 3x − 2

lara31 [8.8K]

Answer: Answer:

x

=

−

1

2

+

−

1

2

5

or

x

=

−

1

2

+

1

2

5

Step-by-step explanation:

Let's solve your equation step-by-step.

−

3

x

2

+

1

=

3

x

−

2

Step 1: Subtract 3x-2 from both sides.

−

3

x

2

+

1

−

(

3

x

−

2

)

=

3

x

−

2

−

(

3

x

−

2

)

−

3

x

2

−

3

x

+

3

=

0

Step 2: Use quadratic formula with a=-3, b=-3, c=3.

x

=

−

b

±

b

2

−

4

a

c

2

a

x

=

−

(

−

3

)

±

(

−

3

)

2

−

4

(

−

3

)

(

3

)

2

(

−

3

)

x

=

3

±

45

−

6

x

=

−

1

2

+

−

1

2

5

or

x

=

−

1

2

+

1

2

5

8 0

2 years ago