subtract 7xy (x² - 2xy + 3y²) -
8x (x²y - 4xy + 7x y2) from
3y(4x²y-5xy +8xy²)
​

Answer:

x = 25

Step-by-step explanation:

First we need to show that these two triangles are similar.  Add up the angles 68 and 38 degrees in the first triangle, and then subtract this sum from 180 degrees.  This results in 74 degrees, which matches 74 degrees in the second triangle.

Next we write and solve an equation of ratios:

 6        10

----- = -------

15         x

Cross multiplying returns 6x = 150, so that x = 25.

Note that 6/15 is the ratio of the shortest sides, and 10/x is the ratio of the longest sides.

Answer:

Step-by-step explanation:

its volume is h.r^2.ℼ

r = radius

h = height

5 x (5x5) x ℼ = 125ℼ

125ℼ is approximately 392.7  

The statement 'Based on Figure 1 and Figure 2 that are similar and have the measurements shown in units where I C.x/y = 4/2 and  D.x/y = 5/3', Because By taking common denominator we prove that x/y = 2/4. The proportion that is true is x/y = 2/4.

When two figures are similar, it means that their corresponding  angles

are equal, and the ratios of their corresponding sides are proportional.

This statement is expressed in what is  known as the similarity theorem.

Let's write the proportions for Figure 1 and Figure 2 using the variables x and y:

For Figure 1,

x/4 = y/5

5x = 4y

x/y = 4/5

For Figure 2,

x/2.4 = y/3

3x = 2.4y

x/y = 2.4/3

To compare the two proportions, we need to find a common denominator:

x/y = 4/5

x/y = 2.4/3

To find a common denominator, we can multiply the first fraction by 3/3 and the second fraction by 5/5:

x/y = 12/15

x/y = 12/15

Therefore, x/y = 2/4 is the true proportion.

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Answer:

The decimal is 0.125

Step-by-step explanation:

The greatest common factor (GCF) of 1 and 8 is 1. Convert 1/8 to its simplest form by dividing the numerator and denominator by its GCF and you get

1/1=1

-   -

8/1= 1 over eight

By using parallelogram EFGH, the proof should be completed to prove that opposite angles of a parallelogram are congruent as follows;

By the alternate interior angles theorem, ∠FGE ≅ ∠HEG and ∠EGH ≅ ∠GEF.

Thus, by ASA, ΔEFG ≅ ΔGHE.

By the alternate interior angles theorem, ∠EFH ≅ ∠GHF and ∠HFG ≅ ∠FHE.

Thus, by ASA, ΔEFH ≅ ΔGHF.

In Mathematics and Geometry, the Alternate Interior Angles Theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent:

By applying the alternate interior angles theorem to parallelogram EFGH, we have the following:

∠FGE ≅ ∠HEG and ∠EGH ≅ ∠GEF.

ΔEFG ≅ ΔGHE (Angles, Side, Angle).

By applying the alternate interior angles theorem to parallelogram EFGH, we have the following:

∠EFH ≅ ∠GHF and ∠HFG ≅ ∠FHE.

ΔEFH ≅ ΔGHF (Angles, Side, Angle).

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0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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Answer:

a. Since 10 out of 70 had a tag we can write the ratio 10:70. We need to solve for x in 90:x. x = 630 so the answer is 630.

b. An assumption he could have made is that the number of deer that had a tag and the total amount of deer were directly proportional.

The mean of the number of drivers expected not to be wearing seatbelts is approximately 4.35, the variance is approximately 15.62, and the standard deviation is approximately 3.95 and they expect to stop approximately 4.35 cars before finding a driver whose seatbelt is not buckled.

a. To find the mean, variance, and standard deviation of the number of drivers expected not to be wearing seatbelts, we can model the situation using a geometric distribution.

Let's define a random variable X that represents the number of cars stopped until the first driver without a seatbelt is found. The probability of a driver not wearing a seatbelt is given as p = 0.23.

The mean (μ) of a geometric distribution is given by μ = 1/p.
μ = 1/0.23 ≈ 4.35

The variance (σ^2) of a geometric distribution is given by σ^2 = q/p^2, where q = 1 - p.
σ^2 = (0.77)/(0.23^2) ≈ 15.62

The standard deviation (σ) is the square root of the variance.
σ = √(15.62) ≈ 3.95


b. The expected number of cars they expect to stop before finding a driver whose seatbelt is not buckled is equal to the reciprocal of the probability of success (finding a driver without a seatbelt) in one trial. In this case, the probability of success is p = 0.23.

Expected number of cars = 1/p = 1/0.23 ≈ 4.35

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Answer:

The answer is D: Max hasn't planted any but he says he can plant 20 flowers per hour. Reagan has planted 9 plants per hour in her mother's flower garden. Max says he will  finish planting the other 25.

Step-by-step explanation:

Answer:

Step-by-step explanation:

probability of a student choosing Monday chemistry class is

35/280

=1/8

Answer: $1.44

Step-by-step explanation: hope this helps please give me brainliest.

From the given table, let's complete the stem and leaf plot.

Part (a):

From the given table, we have 27 data.

It consists of just the data for the round-trip commute time for the employees.

Therefore, data were collected for 1 quantitative variable.

Part (b):

The data constitute a sample

Part (c):

To compute the stem and leaf plot, we have:

Stems------------->Leaves

5--------------------> 0, 0, 3, 3, 3, 4, 7, 7, 9

6----------------------> 0, 1, 3, 4, 5, 7, 8, 8

7------------------------> 0, 3, 4, 4, 5

8------------------------>0, 1, 9

9-------------------------> 0, 4

Part d:

The shape of the data can be said to be right skewed .

The solution set {(-4, 2)} is satisfied when C = 3 and D = -4. Hence, the correct answer is option C.

To find the values of C and D that satisfy the given system of equations, we substitute the coordinates of the solution set {(-4, 2)} into the equations and solve for C and D.

Substituting x = -4 and y = 2 into the first equation, we have:

C(-4) - 2(2) = -16

-4C - 4 = -16

-4C = -12

C = 3

Next, substituting x = -4 and y = 2 into the second equation, we have:

2(-4) + D(2) = -16

-8 + 2D = -16

2D = -8

D = -4

Therefore, the values of C and D that satisfy the system of equations and yield the solution set {(-4, 2)} are C = 3 and D = -4. Thus, the correct answer is option c: C = 3, D = -4.

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The probability that they have an average weight of greater than 10 pounds and less than 15 pounds is 0.84134

In this question we have been given there are 250 dogs at a dog show who weigh an average of 15 pounds, with a standard deviation of 6 pounds. of 10 dogs are chosen at random.

We need to find the probability that they have an average weight of greater than 10 pounds and less than 15 pounds.

Given, μ = 12, σ = 8, n = 4

P(X > 8)

= P(z > (8 - 12 / 8/√4))

= P(z > -1)

= 1 - P(z ≤ -1)

= 1 - [1 - P(z ≤ 1)]

=  P(z ≤ 1)

= 0.84134

Therefore, the required probability is 0.84134

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A key requirement for the process of testing hypotheses in the scientific method is experimentation. A hypothesis is an idea or explanation for a phenomenon that is grounded in existing knowledge or observations, and the scientific method involves testing those hypotheses through experimentation.

The process of testing hypotheses requires the development of a testable hypothesis, the design of experiments to test the hypothesis, and the collection and analysis of data from those experiments to evaluate the hypothesis. The experiments must be designed carefully, with appropriate controls and variables to ensure that the results are reliable and valid. Scientists also need to communicate their findings to the scientific community, which involves publishing their results in scientific journals and presenting their work at conferences.

This helps to ensure that other scientists can replicate their experiments and validate their findings, which is a critical part of the scientific process. Ultimately, the process of testing hypotheses is essential for advancing scientific knowledge and understanding how the world works.

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The probability that the sample mean is between 43 and 52 minutes is

0.9098 or 91%

To unravel this issue, we got to utilize the central restrain hypothesis, which states that the test cruel of an expansive test estimate (n>30) from any populace with a limited cruel and standard deviation will be roughly regularly dispersed.

Given the cruel and standard deviation of the populace, able to calculate the standard blunder of the cruel utilizing the equation:

standard mistake = standard deviation / √(sample estimate)

In this case, the standard error is:

standard blunder = 11 / √(25) = 2.2

Another, we ought to standardize the test cruel utilizing the z-score equation:

z = (test cruel - populace cruel(mean)) / standard mistake

For the lower restrain of 43 minutes:

z = (43 - 46) / 2.2 = -1.36

For the upper restrain of 52 minutes:

z = (52 - 46) / 2.2 = 2.73

Presently, ready to utilize a standard ordinary conveyance table or a calculator to discover the probabilities comparing to these z-scores.

The likelihood of getting a z-score less than -1.36 is 0.0869, and the likelihood of getting a z-score less than 2.73 is 0.9967.

Hence, the likelihood of the test cruel being between 43 and 52 minutes is:

0.9967 - 0.0869 = 0.9098 or approximately 91D

44 In conclusion, the likelihood that the test cruel is between 43 and 52 minutes is around 91%, expecting typical dissemination and a test measure of 25. 

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Answer:

$16

Step-by-step explanation:

Simple interest is based on the principal amount of a loan or deposit, whereas compound interest is based on the principal amount and the interest that accumulates on it in every period.

Simple Interest = P x r x n

where P = Principal amount, r = Annual interest rate, n = Term of loan, in years​

2% = 2 ÷ 100 = 0.02  so r = 0.02

Therefore,  

Simple Interest = 400 x 0.02 x 2 = 16

So she will be paid $16 in the first two years.

Answer:

Mary paid interest $16 in the first 2 years.

Step-by-step explanation:

As per given question we have provided that :

Here's the required formula to find the Principal :

\({\longrightarrow{\pmb{\tt{I= \dfrac{PRT}{100}}}}}\)

Substituting all the given values in the formula to find the Principal :

\({\longmapsto{\sf{Interest= \dfrac{PRT}{100}}}}\)

\({\longmapsto{\sf{Interest= \dfrac{P \times R \times T}{100}}}}\)

\({\longmapsto{\sf{Interest= \dfrac{400 \times 2 \times 2}{100}}}}\)

\({\longmapsto{\sf{Interest= \dfrac{4 \cancel{00} \times 2 \times 2}{1 \cancel{00}}}}}\)

\({\longmapsto{\sf{Interest= 4 \times 2 \times 2}}}\)

\({\longmapsto{\sf{Interest= 8 \times 2}}}\)

\({\longmapsto{\sf{Interest = \$16}}}\)

\(\star{\underline{\boxed{\sf{\purple{Interest = \$16}}}}}\)

Hence, the interest is $16.

\(\rule{300}{2.5}\)

The approximate length of ab is 12.2 feet

A right triangle's hypotenuse (the side that faces the right angle) has a square length that, according to the Pythagorean theorem, is equal to the sum of the squares of the other two sides' lengths.

It can be written as c2 = a2 + b2 where c is the hypotenuse's length and a and b are the other two sides' lengths. Pythagoras, a Greek mathematician, is credited with discovering the theorem, which bears his name.

The Pythagorean theorem, which asserts that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side, can be used to estimate the length of AB (the hypotenuse).

The distances along the room's 11-foot and 13-foot sides serve as the two shorter sides in this situation, while AB serves as the hypotenuse. AB is around the following length:

√(11^2 + 13^2 + 10^2) = √(146) = 12.2 feet

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(a) The variable educ might be endogenous

(b) The variable brthord is birth order (one for the first-born child, two for a second-born child and so on) could be used as an instrument for educ in equation

a) The variable instruction might be endogenous because as compensation increases the income expansions which additionally make able to an individual more educating himself. So there is an opportunity for the instruction might be an endogenous variable.

The indigeneity may involve the 32 the coefficient of knowledge as well different variables like married, black, south, urban, etc.

b) There is a substantial high relationship exists between birth order and the status of teaching. it is more possible to have higher schooling with less the order of child-born and the birth order is autonomous of the error term as well with wage. So the variable "birth order" is a good variable to use as an agency for the endogenous variable instruction.

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Answer:  it takes 7.5 seconds for the object to reach the ground.

Step-by-step explanation:

The equation for the height of the object is h=-16t^2+900. To find the time when the object reaches the ground, we need to find the value of t when h=0.

Therefore, we can set h=-16t^2+900 = 0 and solve for t:

-16t^2+900 = 0

-16t^2 = -900

t^2 = 56.25

t = sqrt(56.25)

t = 7.5

So, it takes 7.5 seconds for the object to reach the ground.

The LCM of the numbers 2, 3, 5, 9, and 17 is 510.

Algebra 2 is a branch of mathematics that deals with equations and functions. Algebra 2 provides the building blocks for advanced studies in many fields, including science, engineering, and mathematics.

The following is the step-by-step solution to the given problem:Find the LCM of the numbers 2, 3, 5, 9, and 17:LCM (2, 3, 5, 9, 17)First, write each number as a product of prime factors.2 = 2¹3 = 3¹5 = 5¹9 = 3²17 = 17¹Next, write the LCM as a product of prime factors.2¹ × 3² × 5¹ × 17¹ = 510

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We know that the time is inversely proportional to the work.

Let t₁ is the time taken by Jeff and t₂ is the time taken by Jeff's dad.

We know that the formula:

Given:

Therefore,

Hence, it took Jeff's dad 12hours to wash the car himself.

They need to complete Ginny's pen with 300 feet of fencing. No, I can't find more answer. That's only the answer.

        w = l/2

        Perimeter = 2l + 2w

                         = 2l + 2(l/2)

                         = 2l + l

                         = 3l

        l = perimeter ÷ 3

        w = l/2

      60 = l/2

          l = 60 × 2

          l = 120 feet

        This gives us a length of 120 feet for one side.

        l = perimeter ÷ 3

        l = 300 ÷ 3 = 100.

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The option √37 < 6.1 < \(\rm \tfrac{45}{7}\) shows the numbers in order from least to greatest. Thus option B is correct.

Ascending οrder refers tο the arrangement οf numbers in which the smallest number cοmes befοre the largest. The numbers are listed in this fashiοn in ascending οrder. It is ideal fοr the first number tο be less than the secοnd. Descending οrder refers tο arrange the integers frοm largest tο least value.

Lets find οut the decimal values οf all the numbers:

√37 ≈ 6.082763

6.1 is just already at decimal value

\($\rm \frac{45}{7} = 6. 428571\)

Now, as we have

6.082763 < 6.1 <  6. 428571

We can conclude that , √37 < 6.1 < \(\rm \tfrac{45}{7}\) shows the numbers in order from least to greatest.

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Answer:

im pretty sure we keeps the account sorry this isnt for the math question

Step-by-step explanation:

826×98=80948

Answer:

80,948

Step-by-step explanation:

that's the answer.

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 1.4\%\to \frac{1.4}{100}\dotfill &0.014\\ t=years\dotfill &6 \end{cases} \\\\\\ A=5000[1+(0.014)(6)]\implies A=5000(1.084) \implies A = 5420\)

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

Hey there!

By looking through figure, l and m are parallel lines and a transversal line passes through the lines.

Now,

7x + 12° = 12x - 28°( alternate angles are equal)

12°+28° = 12x - 7x

40° = 5x

\(x = \frac{40}{5} \)

Therefore, x = 8°

Now,

12x - 28° + 9y - 77 = 180° ( being linear pair)

12×8° - 28° + 9y -77° = 180°

96° - 28° + 9y - 77° = 180°

-9 + 9y = 180°

9y = 180° + 9°

y = 189°/9

Therefore, y = 21°

Therefore, X = 8° and y= 21° .

Hope it helps....

The ratio of the number of unshaded to shaded squares is 7 : 3.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

It is also defined as the fraction of one quantity with respect to other.

The ratio of a and b is denoted as a : b.

Given is a grid of squares which is given below.

Total number of squares = 10

Of that,

Number of shaded squares = 3

Number of unshaded squares = 7

We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.

Ratio of unshaded squares to shaded squares = 7 : 3

Hence 7 : 3 is the ratio of unshaded to shaded.

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In 1996, the cooperative expects approximately 40% of cranberries processed to be water-harvested.

This is a decrease of 18% from 1995. This decrease is likely due to the fact that water-harvested cranberries cost more to process than traditional dry-harvested cranberries.

Additionally, the cooperative may not be able to find enough cranberry farmers willing to switch to the water-harvesting method, which is a labor-intensive process.

Thus, the cooperative is likely to experience a decrease in the percentage of water-harvested cranberries processed in 1996.

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