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Allushta [10]
3 years ago
10

Circle O and circle P are congruent. What can you conclude from the diagram?

Mathematics
1 answer:
lianna [129]3 years ago
5 0
The answer is AB is congruent to DE
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the ratio of boys and girls in class is 3:2 Tthere are 15 boys how many total of boys and girls are in class
balandron [24]

Answer: 15 boys and 10 girls

Step-by-step explanation:

15/3=5, so the you have to multiply 2 by 5 to get the number of girls. 2x5=10, so to get the total number of students you add 15+10 which gets you 25 students, but if it’s just asking for girls, then it’s 10.

3 0
3 years ago
Read 2 more answers
For the function y = -2 + 5 sin (pi/12(x-2)), what is the minimum value?
LekaFEV [45]

Answer:

The maximum value is 3.

Step-by-step explanation:

The given trigonometric function is

y=-2+5\sin(\frac{\pi}{12}(x-2))

The amplitude of this function is 5.

|A|=5

-5\le A\le5

The function is shifted vertically down by two units.

To find the maximum value, we add -2 to the upper boundary of A.

The maximum values is 5-2=3

3 0
3 years ago
The distribution of actual weights of 8-ounce wedges of cheddar cheese produced at a dairy is Normal with mean 8.1 ounces and st
Sonja [21]

Answer:

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

\bar X \sim N(\mu=8.1, \frac{0.2}{\sqrt{10}}=0.063)

approximately Normal, mean 8.1, standard deviation 0.063.

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".

Let X the random variable weights of 8-ounce wedges of cheddar cheese produced at a dairy. We know from the problem that the distribution for the random variable X is given by:

X\sim N(\mu =8.1,\sigma =0.2)

We take a sample of n=10 . That represent the sample size.

What can we say about the shape of the distribution of the sample mean?

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

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

\bar X \sim N(\mu=8.1, \frac{0.2}{\sqrt{10}}=0.063)

approximately Normal, mean 8.1, standard deviation 0.063.

3 0
4 years ago
Which of the following expressions could give the total amount of a $45 restaurant bill with a 15% tip added on?
Sergio [31]
6.75  is the answer.........
8 0
4 years ago
Jesse wants to start driving himself to and from school each day. His parents want to know how much driving time would be involv
PSYCHO15rus [73]

Answer:

175 minutes

Step-by-step explanation:

Add up the 8 different times then divide by 4 to get the average driving time for 1 day:

⇒ 12 + 18 + 13 + 21 + 15 + 22 + 15 + 22 = 138

⇒ 138 ÷ 4 = 34.5 mins

Now multiply the average drive time for 1 day by 5 to determine the time taken to drive to and from school for 5 days:

⇒ 34.5 x 5 = 172.5 minutes

As 172.5 ≈ 175 minutes, the nest response is 175 minutes

5 0
2 years ago
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