Find the GCF (Greatest Common Factor) of each pair of numbers:
9 and 36
35 and 42
100 and 120
84 and 42

Answer:

Step-by-step explanation:

P(A U B) = P (A) + P (B) - P (A and B)

= 0.64 + 0.4 - 0.356

= 0.684

The value of P(A∪B) is 0.684

Probabilities are used to determine the chances of events

The given parameters are:

P(A)=0.64,

P(B)=0.4

P(A∩B)=0.356

To find the value of P(A∪B), we make use of the following formula

P(A∪B) = P(A) + P(B) - P(A∩B)

So, we have:

P(A∪B) = 0.64 + 0.4 - 0.356

Evaluate the expression

P(A∪B) = 0.684

Hence, the value of P(A∪B) is 0.684

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Answer:

89.70 dollars

Step-by-step explanation:

If Juwad picked 30 bags of apples and only sold 26 of them for 3.45 each, then you would have to multiply the number of bags sold by the price, and you would get your answer. So in this case:

1. (#sold)* (price)= total amount of money made

2. 26*3.45= 89.70

3. And you can check by dividing 89.70(your answer) by the price of the apples

4. 89.70/3.45= 26

The slope of the road and the change in elevation over a one-mile stretch of the road. The slope of the road and the change in elevation over a one-mile stretch of the road can be determined using the given inclination angle.

The inclination angle of the road, θ = 0.15 radian. The slope of the road is given as tangent of the inclination angle. Slope, S = tan θSlope, S = tan 0.15Slope, S = 0.26795The slope of the road is 0.26795 or 0.27 (approximate to two decimal places).The change in elevation, h can be determined using the relation between angle, slope and height as given below; h = L × sin θwhere L is the length of the road. For a one-mile stretch of the road, L = 1 mile = 1.609344 km. Substituting the values in the relation, we get; h = 1.609344 × sin 0.15h = 0.400138 km. The change in elevation is 0.400138 km.

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Answer: 6\(a^{2}\)+a-12

Step-by-step explanation:

First, you want to distribute (2a+3)(3a-4) ---> 2a(3a-4) + 3a(3a-4)

That will get you 6\(a^{2}\)-8a+9a-12

Next, you will want to combine like terms to get 6\(a^{2}\)+a-12

Since you cannot simplify that any further, 6\(a^{2}\)+a-12 is your answer.

Answer:

r=f-(gm)

Step-by-step explanation:

Benz wagon has f gallons of gas

We are now told that Benz Wagon uses (g) gallons of gas for every mile traveled

Thus, amount of gas used after "m" miles is; gm

We are given r as the amount of gas remaining.

Thus;

r=f-(gm)

1. The fixed point iteration method can be used to find roots of equations. In this case, the root of the equation -2x-5e^x=0 greater than zero is 2.44948. 2. The root of the equation 2cos(sin(sqrt(x)))/sqrt(x)-1=0 accurate to 4 significant figures is 3.16228.

1. The fixed point iteration method is a numerical method for finding roots of equations. It works by repeatedly substituting a guess for the root into the equation until the guess converges to the root. In this case, the guess for the root of -2x-5e^x=0 was 2. The method was repeated until the error between successive guesses was less than 0.00001. The root was then rounded off to seven decimal places. 2. The fixed point iteration method was also used to find the root of 2cos(sin(sqrt(x)))/sqrt(x)-1=0. The guess for the root was 3. The method was repeated until the error between successive guesses was less than 0.0001. The root was then rounded off to six decimal places.

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The complement = x

The angle we are finding = 3x + 26

Complementary angles are angles that add up to 90 degrees.

90 = x + 3x + 26

Combine like terms

90 = 4x + 26

Subtract 26 from both sides

64 = 4x

Divide both sides by 4

16 = x

The angle we are trying to find = 3(16) + 26 = 48 + 26 = 74 degrees

Jacinta needs to order 3 cases of 216 mm x 279 mm x 270 mm printer paper to have the 7,000 sheets needed

information from the question

500 sheets of printer paper 216 mm x 279 mm x 45 mm

packaged in cases 216 mm x 279 mm x 270 mm

Jacinta needs to order 7,000 sheets

Jacinta can only order full cases

Analyzing the size of the printer paper it can be seen that the thickness of 500 sheets is 45 m. The thickness of the cases is 270mm

The amount of packages in a case is solved by

= 270 / 45

= 6

Therefore one case contains

= number of packages in a case * number of sheets per package

= 6 * 500

= 3000 sheets

But Jacinta wants 7000 sheets hence  the number of cases

= 7000 / 3000

= 2.333

Jacinta can only buy full case hence she buys 3 cases. This is because 2 cases will be short of 0.333. To take care of the extra she order full package making it three

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The mean of the given histogram is: 15.7

The steps to find the mean of the histogram are:

step 1:

For each bar in the histogram, we multiply the categories (numbers) by the height of the bar (how many of each number there are).

Step 2:

Sum all the products found in step 1 to get the grand total of the data.

Step 3:

Divide this total by the total bar height to get the average. 

Thus, we can find the mean of the given histogram as follows:

(5 * 2.5) + (7.5 * 8) + (12.5 * 14) + (17.5 * 14) + (22.5 * 2) + (27.5 * 2) + (32.5 * 2) + (37.5 * 1) + (42.5 * 1) + (47.5 * 1))/(5 + 8 + 14 + 14 + 2 + 2 + 2 + 1 + 1 + 1)

= 785/50

= 15.7

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Answer: n < 33/2

Step-by-step explanation:

3 + 2n > 36

The number from the equation is less than 11

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be = x

Now , the equation is

Sum of a number and 3 more than twice the number is less than 36

Let us assume the sum of the numbers is 36

So ,

x + 3 more than twice the number = 36

And ,

x + ( 3 + 2x ) = 36

On simplifying the equation , we get

3x + 3 = 36

Subtracting 3 on both sides , we get

3x = 33

Divide by 3 on both sides , we get

x = 11

But , the inequality equation is less than 36

So , x < 11

Therefore , the number is less than 11

Hence , the number from the equation is less than 11

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Answer: 80% or 4/5

Step-by-step explanation:

so I don’t know how many numbers there are on this cube (a standard number cube has #1-6) but I’m going to go with 10 numbers (don’t know how this is possible but anyway-). I’ll edit my answer if needed.

10 numbers

10 (numbers) - 2 (#8 and #10) = 8 (possible numbers)

so 8/10 or 80%

reduced fraction: 4/5

percentage: 80%

fraction: 8/10

*will edit if needed

Answer:

Protein structure and function are governed by the exact types and order of amino acids. The arrangement of glucose molecules in starch determines both its structure and its purpose. The particular nucleotide sequence governs the structure and functionality of nucleic acids, such as DNA and RNA. Contrarily, the arrangement of fatty acid chains and other components determines lipids rather than the order of amino acids directly.

Answer:

3 1/6

brainliest?

A z-score represents the number of standard deviations a data point is away from the mean. A score that is 2.5 standard deviations below the mean would have a z-score of -2.5 that is option D.

A z-score is a statistical measure that indicates how many standard deviations a particular data point is away from the mean of a distribution. It is calculated using the formula:

z = (x - μ) / σ

Where:

z is the z-score,

x is the value of the data point,

μ is the mean of the distribution, and

σ is the standard deviation of the distribution.

If a score is 2.5 standard deviations below the mean, it means that the value of x is 2.5 times the value of σ below the mean. In other words, it is located in the left tail of the distribution.

Since the z-score represents the number of standard deviations away from the mean, a score that is 2.5 standard deviations below the mean would have a z-score of -2.5. The negative sign indicates that the score is below the mean.

So, if we substitute the values into the z-score formula:

z = (x - μ) / σ

-2.5 = (x - μ) / σ

This equation represents the z-score being -2.5, indicating that the score is 2.5 standard deviations below the mean.

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Answer:

y = \(\frac{t}{a+v}\)

Step-by-step explanation:

Given

ya + yv = t ← factor out y from each term on the left side

y(a + v) = t ( divide both sides by a + v )

y = \(\frac{t}{a+v}\)

Answer: y = yah

Step-by-step explanation:

The original price of the swimming pool is $1030.

From the information, the swimming pool is on sale for $875.50 and the sale price is discounted 15% from the original price.

Let the original price be x.

This will be illustrated as:

(x - 15% × x) = 875.50

x - 0.15x = 875.50

0.85x = 875.50

Divide

x = 875.50 / 0.85

x = 1030

The original price is $1030.

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Answer:

Step-by-step explanation:

it would just increase by 10%

There were 20 questions on the quiz.

Let's start by using algebra to solve the problem.

Let x be the total number of questions on the quiz.

If Jianna got 87.5% of the questions correct, then she got 0.875x questions

correct.

We also know that Jianna got 17.5 questions correct.

So we can set up the equation:

0.875x = 17.5

To solve for x, we can divide both sides by 0.875:

x = 20

Therefore, there were 20 questions on the quiz.

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Answer:

  $900

Step-by-step explanation:

You want to know Lauren's average daily balance if she was charged a $13.50 finance charge on a card with an APR of 18%.

The finance charge is the product of the monthly interest rate and the average daily balance. The monthly rate is 1/12 of the annual rate. This tells us ...

  finance charge = ADB × 18%/12

  $13.50 = ADB × 0.015

  ADB = $13.50/0.015 = $900

Lauren's average daily balance was $900.

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The sequence can be used to find exact values when the level of the pattern increases or decrease

The mathematical expression that connects the number of tiles and the grouping method is presented as follows; tₙ = 9 + (n - 1)× 3

From the given diagram, we have that the number of green tiles = 18

Grouping method 1 has 15 green colored tiles with Figure size 3

We have;

Grouping method 1

The figure size number of the shape with 15 green colored tiles = 3

Grouping method 2, figure size 4

The figure size number of the shape with 18 green colored tiles = 4

The size number of the shape with 12 green colored tiles = 2

The size number of the shape with 9 green colored tiles = 1

Therefore the sequence is an arithmetic progression having the following characteristics;

nth term, tₙ = a + (n - 1)·d

In the first term, a = 9

The common difference, d = 3

The mathematical expression that connects the grouping methods above, and gives the number of green tiles, tₙ, is tₙ = 9 + (n - 1)× 3

Where;

n = The grouping method number

The number of green tiles is given by the equation, tₙ = 9 + (n - 1)× 3

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Answer:

-15

1.9

Step-by-step explanation:

-7 - 8 = -15

1 and 6/7 = 1.857142857142857142857142.....

about 1.9

Answer: 32

Step-by-step explanation: 480 divided by 15

approximately 75.8% of college students will take more than 4.22 minutes when trying to find a parking spot in the library parking lot.

To find the number of minutes that 75.8% of college students will take or exceed when trying to find a parking spot in the library parking lot, we need to use the properties of the normal distribution and its associated Z-scores.

Since we are given the mean (μ = 3.5 minutes) and the standard deviation (σ = 1 minute), we can use these values to calculate the Z-score corresponding to the desired percentage.

First, we need to find the Z-score corresponding to the cumulative probability of 0.758. We can use a standard normal distribution table or a calculator to find this Z-score.

Using a standard normal distribution table, we can find that the Z-score corresponding to a cumulative probability of 0.758 is approximately 0.72.

Now, we can use the Z-score formula to find the corresponding value in terms of minutes:

Z = (X - μ) / σ

0.72 = (X - 3.5) / 1

0.72 = X - 3.5

X = 3.5 + 0.72

X ≈ 4.22

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Not really sure about what kind of an answer you want here...

I think you should count up every student's favorite choice and create a table. Then, let's just say there are a total of 30 students. 25 prefer ice cream over cake. The fraction of the students who prefer ice cream over cake is \(\frac{25}{30} = \frac{5}{6}\).

Using a calculator, divide 5/6 to find the decimal percentage. 5/6 = 0.8333 (continuing on forever). Fractions are always more accurate, so when finding the percentage it won't be fully accurate since the 3s continue forever. This will be with a lot of numbers like 1/3 or even 2/3.

Now, shift the decimal two spaces forward, making 83.33

83.33% is your answer to this example problem I have created.

Do the same with yours!

Hope this helped! Feel free to ask anything else.

Answer:256960ft

Step-by-step explanation: LENGTHXWIDTH . So you would want to multiply 440x584 and that is 256960 So it is 256960ft I think.

Answer:

297 ft

Step-by-step explanation:

In order to restore general equilibrium, price adjustments are undertaken. In the short run, prices increase, and when expectations rise above actual inflation, prices continue to climb until they do. answer is option (d). price level.

The term "aggregate demand" in macroeconomics refers to the overall demand for locally produced commodities, including capital goods, consumer products, and services. Aggregate demand is calculated as the total of spending by consumers, corporate and governmental investment spending, and net imports and exports.

The overall demand of final products and services in an economy at any particular time is known as aggregate demand, often referred to as domestic final demand. Effective demand is a frequent word for it, however occasionally this phrase is used to distinguish between two things. This is the demand for a nation's gross domestic product.

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