6. The length of the minor arc AB of a circle, centre O, is 2π cm and the length of the major arc is 22π cm. Find: a) the radius of the circle
b) the acute angle AOB.

Answers

Answer 1

Answer:

Answer:

a) 24 [cm]; b) 30°.

Step-by-step explanation:

a) the length of full the circle is: min_arc(AB)+maj_arc(AB)=π(22+2)=24π [cm]. Then the radius is: r=L/π; ⇒ r=24π/π=24 [cm];

b) if the full circle is 360° (L=24π), then m(∠AOB):2=360°:24 and the required measure of the acute angle AOB is:

m(∠AOB)=360*(1/12)=30°.

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Find the slope and the y-intercept of the line.y=2x-7
In determining automobile-mileage ratings, it was found that the mpg (X) for a certain model is normally distributed, with a mean of 33 mpg and a standard deviation of 1.7 mpg. Find the following:__________. a. P(X<30) b. P(28c. P(X>35) d. P(X>31) e. the mileage rating that the upper 5% of cars achieve.

Write an expression that represents 72 divided by n plus 4

Answers

Answer:

The answer is

$(72)/(n)+4$

Step-by-step explanation:

we know that

A quotient is the division of two numbers

In the expression $72$ divided by n

the numerator is equal to $72$

the denominator is equal to $n$

the quotient is equal to

$(72)/(n)$

The complete expression $72$ divided by n plus $4$ is equal to

$(72)/(n)+4$

72/n+4

Hope that helps

James has $20.00 in his checking account. He goes to the bank and withdraws $20.00. How much money does James have in his account immediately after withdrawing the $20.00?

Answers

Answer:

$0.00

Step-by-step explanation:

$20.00-$20.00=$0.00

The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12. The probability that the average sales per customer from a sample of 36 customers, taken at random from this population, exceeds $78 is:

Answers

The probability that the average sales per customer from a sample of 36 customers, taken at random from this population, exceeds $78 is 0.0668.

Calculation of the probability:

Since The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12.

Here we need to find out the z score

= $78-75/ 12/ 36$

= 1.5

Here we considered normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332

So, the average is less or equal to 78.

Now

Subtract from 1 to get the complement.

So,

P(x>78)=1-0.9332

=0.0668

Learn more about probability here: brainly.com/question/24613748

Answer:

0.0668

Step-by-step explanation:

Assuming the distribution is normally distributed with a mean of $75,

with a standard deviation of $12.

We can find the z-score of 78 using;

$z=(x-\mu)/((\sigma)/(√(n) ) )$

$\implies z=(78-75)/((12)/(36) ) =1.5$

Using our normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332

This is the area corresponding to the probability that, the average is less or equal to 78.

Subtract from 1 to get the complement.

P(x>78)=1-0.9332=0.0668

In the checksums, you validated that the average SAT score for all of the records is 1,059.07. When we work with the data more rigorously, several tests will require us to transform NULL values. If you were to transform the NULL SAT values into 0, what would happen to the average (would it stay the same, decrease, or increase?

Answers

Answer:

It would decrease.

Step-by-step explanation:

The null almost always acts like a placeholder where there is nothing to record for that entry, we can say that it is a dummy character.

The difference between null and zero is that zero has a value in a context whereas null does not have any value.

So given the example in the question, if we replace the null values with zeros, that would affect the average because of the fact that zero values are going to get included in the average, null values were not included. Therefore this will result in the average being decreased.

I hope this answer helps.

5a - 3b if a=5 and b=7

Answers

Answer:

5(5) - 3(7) = 4

The similar triangle is the image of the bigger triangle after a sequence of transformations. What is the value of x?

Answers

Answer:

The value of x is: 2.5 units

Step-by-step explanation:

Two triangles are said to be similar if the ratio of the corresponding sides of the two triangles are equal.

i.e. if two triangles ΔABC and ΔDEF are similar such that the sides of the triangle ABC are a, b and c and the corresponding sides in ΔDEF are d,e and f respectively then we have:

$(a)/(d)=(b)/(e)=(c)/(f)$