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Rudiy27
3 years ago
13

∠DGC and ∠CGB are □ angles. Adjacent Complementary Supplementary Vertical

Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0

Answer:

angle DGC and angle CGB are adjacent angles

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The cost of unleaded gasoline in the Bay Area once followed an unknown distribution with a mean of $4.09 and a standard deviatio
WINSTONCH [101]

Answer:

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

\mu_{\bar X} = 4.09

\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}= \frac{0.08}{\sqrt{16}}= 0.02

So the best answer for this case would be:

\bar X \sim N (4.09,  \frac{0.08}{\sqrt{16}}= 0.02)

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the costs of unleaded gasoline of a population, and for this case we know the distribution for X is given by:

X \sim N(4.09,0.08)  

Where \mu=4.09 and \sigma=0.08

We select a sample size of n =16. Since the distribution for X is normal then 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} = 4.09

\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}= \frac{0.08}{\sqrt{16}}= 0.02

So the best answer for this case would be:

\bar X \sim N (4.09,  \frac{0.08}{\sqrt{16}}= 0.02)

3 0
3 years ago
Q=3(r+1)/r<br> Make r the subject of the formula
DiKsa [7]

Distribute the 3 to the parentheses.  Q=3r+3/r

Next multiply both sides by r to get rid of the division sign.

Qr=3r+3

Subtract 3r on both sides and you get Qr-3r=3

Since both numbers have an r in it, we can factor out the r

r(Q-3)=3

Then we divide Q-3 on both sides

r=3 / (Q-3)

8 0
3 years ago
after eating 25 percent of the pretzels, Sonya had 42 left. how many pretzel did Sonya have originally? ​
Shtirlitz [24]

Answer:

56

Step-by-step explanation:

she ate 25% so she is left with 75%

you want to find that 25% so you do 75÷25=3

42÷3=14

25×4=100

14×4=56

she had 56 pretzels

7 0
3 years ago
What is the instantaneous slope of y=-5\x at x=5
Sedbober [7]
y=-5x^{-1}
\frac{dy}{dx}=\frac{5}{x^{2}}
The instantaneous slope at x = 5 is 1/5.

The answer is 1/5.
8 0
3 years ago
Read 2 more answers
A number n plus 8 is greater than 11? What is the inequality and the solution?
fomenos

Answer:

n+8 > 11

subtract 8 from 11

n>3

7 0
3 years ago
Read 2 more answers
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