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maria [59]
3 years ago
10

AC is tangent to circle O at A. If mBY =24, what is m

Mathematics
1 answer:
Leokris [45]3 years ago
4 0
The correct question in the attached figure

we know that
<span>the inscribed angle measures half of the arc it comprises.
</span>then
m∠YAB=(1/2)*m∠BY-------------> m∠YAB=(1/2)*24°=12°
m∠YAC=90°-m∠YAB=90°-12°=78°

the answer is the option C) 78°    

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Please help IM SO CONFUSED!
rodikova [14]

Answer:

18

Step-by-step explanation:

You can see from the table that 2 bracelets are made every 30 minutes.

There are 9 intervals of 30 minutes each in 4.5 hours.

So, the number of bracelets that are made in 4.5 hours is

9x2=18

Another way to see this is to note from the table that 4 bracelets are made in 60 minute, which is 1 hour.  So, in 4 hours, 16 bracelets will be made. Also, from the table, 2 bracelets are made in 30 minutes, which is 1/2 hour.  So, adding up, 18 bracelets are made in 4.5 hours.

4 0
3 years ago
A solid silver spoon has a mass of 65.1g.
Keith_Richards [23]

Answer:

D=M/V

D=65.1/6.2

Density is 10.5 grams per centimetre cube

Step-by-step explanation:

3 0
3 years ago
Suppose the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1
svet-max [94.6K]

Answer:

a) 0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

b) 0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.0 ounces and a standard deviation of 1.1 ounces.

This means that \mu = 8, \sigma = 1.1

(a) If 5 potatoes are randomly selected, find the probability that the mean weight is less than 9.3 ounces?

n = 5 means that s = \frac{1.1}{\sqrt{5}} = 0.4919

This probability is the pvalue of Z when X = 9.3. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{9.3 - 8}{0.4919}

Z = 2.64

Z = 2.64 has a pvalue of 0.9959

0.9959 = 99.59% probability that the mean weight is less than 9.3 ounces

(b) If 6 potatoes are randomly selected, find the probability that the mean weight is more than 9.0 ounces?

n = 6 means that s = \frac{1.1}{\sqrt{6}} = 0.4491

This probability is 1 subtracted by the pvalue of Z when X = 9. So

Z = \frac{X - \mu}{s}

Z = \frac{9 - 8}{0.4491}

Z = 2.23

Z = 2.23 has a pvalue of 0.9871

1 - 0.9871 = 0.0129

0.0129 = 1.29% probability that the mean weight is more than 9.0 ounces

8 0
3 years ago
Question 3 of 8
erastova [34]

Answer:

A. and C.

Step-by-step explanation:

We don't know the area of the roof or the number of people in the group so they would both be represented by variables in an equation.

6 0
3 years ago
Find a &amp; b if the point p(6,4)&amp;q(2,3) lie on the graph of ax+by=20
Cerrena [4.2K]

Answer:

a = - 2 , b = 8

Step-by-step explanation:

Since the points p and q lie on the graph then they satisfy the equation

(6, 4 ) , substitute x = 6 , y = 4 into the equation

6a + 4b = 20 → (1)

(2, 3 ) , substitute x = 2, y = 3 into the equation

2a + 3b = 20 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate a

- 6a - 9b = - 60 → (3)

add (1) and (3) term by term to eliminate a

0 - 5b = - 40

- 5b = - 40 ( divide both sides by - 5 )

b = 8

Substitute b = 8 into either of the 2 equations and solve for a

Substituting into (1)

6a + 4(8) = 20

6a + 32 = 20 ( subtract 32 from both sides )

6a = - 12 ( divide both sides by 6 )

a = - 2

4 0
3 years ago
Read 2 more answers
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