3. Which of the following is the difference of two squares?
9x2 - 12y2
25a? - 3666
100m² + 9n?
169 -- 49h

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

The probability of making a basket on the sixth shot is 0.075. The probability that the first and second baskets occur on the fourth and eighth shots is 0.031.

For the first shot to be on the sixth trial, five earlier shots must have failed.

The probability of a missed basket is 1 - 0.45 = 0.55.

The probability of five missed baskets in a row is (0.55)5 = 0.166.

The probability of making a basket on the sixth shot is 0.45.

Hence, the probability of making a basket on the sixth shot is 0.45 * 0.166 = 0.075.
There are a few possible ways to get the first and second baskets to happen on the fourth and eighth shots, respectively.

In the end, either of the following two paths will work:
4 failures, then 2 successes, then 2 failures
3 failures, then 1 success, then 1 failure, then 1 success, then 2 failures
Using the multiplication rule, we get the following probabilities for each course:
P(4 failures, 2 successes, 2 failures) = (0.55)4 * (0.45)2 * (0.55)2

= 0.018
P(3 failures, 1 success, 1 failure, 1 success, 2 failures) = (0.55)3 * (0.45) * (0.55) * (0.45) * (0.55)2

= 0.013
The probabilities of the two possible routes must be summed up to arrive at the answer.
Hence, the probability that the first and second baskets occur on the fourth and eighth shots, respectively, is 0.018 + 0.013 = 0.031.

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Answer:

In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .

Step-by-step explanation:

Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3

Answer: One solution

Step-by-step explanation:

Given

-5x-8=8

Add 8 on both sides

-5x-8+8=8+8

-5x=16

Divide -5 on both sides

-5x/-5=16/-5

x=-3.2

Therefore, it has one solution

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Answer:

7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".

3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".

To solve the equation, we can start by distributing the 3 on the left side:

3(m + 2) = 15

3m + 6 = 15

Then, we can subtract 6 from both sides:

3m + 6 - 6 = 15 - 6

3m = 9

Finally, we can divide both sides by 3:

3m/3 = 9/3

m = 3

Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.

5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".

To simplify the expression, we can use the distributive property to expand the second term:

5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m

Therefore, the simplified expression is m^2 + 3m.

Answer:

1) 54+2x=5x−6−18x Distributive Property

2) 60=−15x Division Property of Equality

3) −4=x Division Property of Equality

Explanation:

1.) This answer is Distributive Property because the parenthesis in the original equation were removed through the process of distributing.

3(–2 – 6x) was distributed by multiplying 3 • –2 and 3 • –6x to get –6 – 18x

2.) This answer is Division Property of Equality because for all real numbers x, y, and z, if x = y and z ≠ 0, then x/z = y/z. This is true in this equation because of 60/–15 = −15x/–15.

3.) Division is used to get the value of x, which is –4.

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The smallest number by which 3^6 * 3^5 must be multiplied (or divided) to become a perfect square is 2.

To find the smallest number by which 3^6 * 3^5 must be multiplied (or divided) so that the product (or quotient) becomes a perfect square,

First, let's simplify the expression 3^6 * 3^5 by using the exponent rule for multiplication. When we multiply numbers with the same base, we add the exponents:

3^6 * 3^5 = 3^(6+5) = 3^11.

Now, we have 3^11. To make this expression a perfect square, we need the exponent to be an even number. In this case, we want the exponent of 3 to be divisible by 2.

The smallest number by which we can multiply 3^11 to make it a perfect square is 2. By multiplying 3^11 by 2, we get:

2 * 3^11 = (2^2) * (3^11) = (2*3)^11 = 6^11.

Now, 6^11 is a perfect square because the exponent of 6 (11) is divisible by 2. Therefore, the smallest number by which 3^6 * 3^5 must be multiplied to become a perfect square is 2.


To find the smallest number by which 3^6 * 3^5 must be multiplied (or divided) so that the product (or quotient) becomes a perfect square, we need to simplify the expression 3^6 * 3^5. By applying the exponent rule for multiplication, we can add the exponents:

3^6 * 3^5 = 3^(6+5) = 3^11.

Now, we have the expression 3^11. To make it a perfect square, we need the exponent of 3 to be divisible by 2. Since 11 is an odd number, we need to multiply or divide 3^11 by a number that will make the exponent even.

The smallest number by which we can multiply 3^11 to make it a perfect square is 2. By multiplying 3^11 by 2, we get:

2 * 3^11 = (2^1) * (3^11) = (2*3)^11 = 6^11.

Now, 6^11 is a perfect square because the exponent of 6 (11) is divisible by 2.

Therefore, the smallest number by which 3^6 * 3^5 must be multiplied (or divided) to become a perfect square is 2.

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Answer:

This is really tilted, and I CANNOT see! But it looks like ratio, on one of the parts. Sorry, but I don't know!

Answer: 4

Step-by-step explanation:

Answer:

The most appropriate inferential statistic test in the present situation is the;

b. Two-sample t-test

Step-by-step explanation:

From the question, we have;

The number of subjects in each sample, n₁ = 100

The number of samples = 2

The nature of the test = To compare the two means

The value of the population standard deviation, σ = Unknown

From the given parameters, we have;

The t-test is a method of inferential statistics for determining whether the difference between the mean of two groups is significant, that is if the observed difference are due to chance, where the groups are likely to have some characteristics that are related

The t-test is utilized when testing an hypothesis, and it is used for small samples, where the population standard deviation is unknown

The types of t-test used are;

a) One-sample t-test

b) Two-sample t-test

c) Paired Sample t-test

Therefore, a two-sample t-test is most appropriate.

As per the sampling technique, Let us consider what you know about the sampling distribution of the sample proportion. this sampling distribution will have a center equal to the population proportion, or p.

Here we have to find  what you know about the sampling distribution of the sample proportion. This sampling distribution will become more variable as the sample size increases.

Here for the given question, let us check all the given statements in the options

Here we know that the shape is approximately normal. Then the given option will be false.

Next, it is collection of all samples taken from the population, So the given option will be false

Now, we have to check as the sample size increases, the value of n increases. here n is the value on the denominator of the equation of standard deviation.

Therefore, due to an increase in the value of n, then there will be decreases in the standard deviation.

Then the less standard deviation means a small variance.

Therefore, as a result, as the sample size grows, the variation will be minimal.

So, the center is the same as the sample proportion p.

Therefore, this is correct.

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5 and 2 fifteenths

Step-by-step explanation:

3 and 4/5 can go to 3 and 12/15 and 1 and 1/3 can go to 1 and 5/15

Answer:

The answer is 5 and 13/100

Step-by-step explanation:

Answer:

14 apple pies

Step-by-step explanation:

Answer:

Option no. B is a unit tile in that tesselation

i.e rectangular shape

Step-by-step explanation:

Well, it's because we all know that tesselation

only use one shape and it's sum is always 360°

meanwhile sum of rectangle=360°

as each side of rectangle are 90°

90°*4=360°##

I hope it helped you to understand more clearly...

Answer:

x=9, therefore 72=72

Step-by-step explanation:

I just distributed.

Answer:

x = 9

Step-by-step explanation:

7x + 3x - 18 = 6(x + 3) ← distribute parenthesis by 6

10x - 18 = 6x + 18 ( subtract 6x from both sides )

4x - 18 = 18 ( add 18 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

Given:

To solve for j :

Explanation:

Multiplying by 2 on both sides,

Adding 38 on both sides, we get

Final answer:

The value of j is 6.

The measure of line segment FB is 5 inches and the measure of FG is 14 inches.

Diameter of Circle A = 8 inches

Diameter of Circle B  = 18 inches

Diameter of Circle C  = 11 inches

The measure of FB and FG.

Let's first find the radius of each circle:

Radius of Circle A (A F) = 1/2 × Diameter of Circle A

= 1/2 × 8 inches

= 4 inches

Radius of Circle B (A G) = 1/2 × Diameter of Circle B

= 1/2 × 18 inches

= 9 inches

Now, let's find the measure of FB using the radius of the big circle (AB) and the radius of the small circle (A F)

FB = AB - A F

AB = A G = 9 inches

Substituting the values into the equation

FB = 9 inches - 4 inches = 5 inches

Therefore, the measure of FB is 5 inches.

FG = A G - A F

= 18 - 4

= 14 inches

Therefore, the measure of FG is 14 inches.

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Answer:6.5 7.5

Step-by-step explanation:

I know you can do this if you need help you can contact me

Answer:

The expression \(\frac{1}{2}x+7\) can be used to find Ayliah's age.

Step-by-step explanation:

Given statement is:

Ayliah is 7 years more than 1/2 of Deb's age.

Let,

x represent Deb's age.

The expression for Ayliah's age would be;

7 more means addition.

Ayliah's age = \(\frac{1}{2}x+7\)

Hence,

The expression \(\frac{1}{2}x+7\) can be used to find Ayliah's age.

The correct population should she answered is  is A) 7th graders in the school

To find out the favorite after-school activity of 7th grade students, Ms. Smith should sample the population directly related to the question. In this case, the most appropriate population to sample would be:

A) 7th graders in the school

By sampling the 7th graders in the school, Ms. Smith can directly gather information about their favorite after-school activities. This population consists of the students themselves who engage in the activities, and they would have first-hand knowledge and experience of their preferences.

B) Parents of 7th graders in the school might provide some insights, but they may not accurately represent the activities chosen by the students themselves.

C) Other 7th-grade teachers in the school may have some observations, but it may not reflect the preferences of the entire 7th-grade student population.

D) Sampling all students in the school would be broader than necessary and may not specifically address the favorite after-school activities of 7th-grade students.

Therefore, option A) 7th graders in the school is the most suitable population for Ms. Smith to sample in order to answer her question about the favorite after-school activity of 7th-grade students.

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Answer:

2

Step-by-step explanation:

\(\frac{(-2)(-3)(-4)}{-9 + (-3)}\)

First, simplify the top and bottom separately:

\(\frac{-24}{-12}\)

Then, just divide:

\(-24 / -12 = 2\)

The distance between points A and B is given as follows:

E. 54.4 feet.

The law of cosines states that we can find the length of the missing side c of a triangle as follows:

c² = a² + b² - 2abcos(C)

In which the parameters of the equation are given as follows:

From the diagram given by the image presented at the end of the answer, the values of the parameters are given as follows:

a = 45, b = 69, C = 52º.

Hence the distance between points A and B is the missing length C obtained as follows:

c² = a² + b² - 2abcos(C)

c² = 45² + 69² - 2 x 45 x 69 x cos(52º)

c² = 2962.74223826

c = sqrt(2962.74223826)

c = 54.4 feet.

Meaning that option E is correct.

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Answer:

$290,080

Step-by-step explanation:

Given:

Average price = 259,000

Average monthly rent = 2500

Monthly rent of home = $2800

Gross Rent Multiplier = price per monthly rent

GRM = Price / monthly rent

The GRM = 259000 ÷ 2500

= $103.60

The price = GRM * Monthly rent

Price = $103.60 * $2800

Price = $290,080

Step-by-step explanation:

y varies INVERSELY as x.

that means

y = k/x

therefore,

22 = k/6

k = 22×6 = 132

and then, when y = 15

15 = 132/x

15x = 132

x = 132/15 = 8.8