Think of a three digit number whose product is twenty and whose sum is nine

Answer:

\(x=3\)

Step-by-step explanation:

We can try and isolate x on one side of the equation to find its value.

First let's apply the distributive property on the left side and get a simpler equation.

\(7(2-2x)=-13-5x\\\\14-14x = -13-5x\)

Now, to simplify this down, we can add 5x to both sides.

\(14-14x + 5x = -13-5x + 5x\\\\14-9x=-13\)

Now we can add 13 to both sides:

\(14-9x+13=-13+13\\\\27-9x=0\)

Now we subtract 27 from both sides:

\(27-9x-27=0-27\\\\-9x=-27\)

And finally we divide both sides by -9.

\(-9x\div-9=-27\div-9\\\\x=3\)

Hope this helped!

Answer:

\(\Huge \boxed{x=3}\)

Step-by-step explanation:

\(7(2-2x)= -13-5x\)

Expanding brackets.

\(14-14x= -13-5x\)

Adding 5x and -14 to both sides.

\(-14x+5x=-13-14\)

\(-9x=-27\)

Dividing both sides by -9.

\(x=3\)

Numbers of ways to distribute 10 identical cards into 3 boxes is 36

Combination is is a way of selecting items from a collection where the order of selection does not matter.

Formula of combination:

Let a x-combination of a set is a subset of x distinct elements of S. If the set has n elements, the number of x-combinations is equal to the binomial coefficient.

ⁿCₓ = n(n-1)(n-2)(n-3). . . (n-x+1) / (x-1)(x-2)(x-3) . . . .(1)

which can be written as ⁿCₓ = n! / (n-x)! x!   , when n > x

ⁿCₓ = 0 , when n < x

Where n = distinct object to choose from

C = Combination

x = spaces to fill

According to the question,

Number of identical cards : n =10

Number of box cards are being distributed : x = 3

Number of ways to distribute when no condition is given : ⁿ⁺ˣ⁻¹Cₓ₋₁

If we place one one card in each box then

Number of cards left with us = 10 - 3

= 7

Now, condition of at least one cards in each box is satisfied ,

Then total number of ways to distribute 7 cards into 3 =  ⁷⁺³⁻¹C₃₋₁

=> ⁹C₂ = 9! / (9 - 2)! 2!

=>  9×8×7! / 7!2!

=> 9×8/2

=> 9×4

=>36 ways

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Answer:

110

Step-by-step explanation:

2750ft/ 25mins = 110 ft per min. I hope this helps.

The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990 is an example of a fixed exchange rate policy

We know

The fixed exchange rate policy is the rule to ties the country's official currency exchange rate to another country's currency which set by the central bank or government.

Here,

The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990. The fixed exchange policy is used here

Hence, The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990 is an example of a fixed exchange rate policy

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Answer:

True

Step-by-step explanation:

Four-sided polygons are usually referred to as quadrilaterals, quadrangles or sometimes tetragons. In geometry the term quadrilateral is commonly used.

Answer: True

Step-by-step explanation: :D

Answer:

15-10-11-14

Step-by-step explanation:

15+10= 25

25+11= 36

36+14= 50

Step-by-step explanation:

Hi, Hope this will help:)

Answer:

Use the slope-intercept form y=mx+b to find the slope m. m=−1

Step-by-step explanation:

lets take the x's away from: -5x+4x

That will be -5+4

-5+4=-1

Because remember:

When adding positive numbers, count to the right.

When adding negative numbers, count to the left.

When subtracting positive numbers, count to the left.

When subtracting negative numbers, count to the right.

I hope this helps.       :)

Answer:

m= 4

Step-by-step explanation:

Rewrite the slope-intercept form

y = 4x - 5

the using the slope-intercept form, the slope-intercept is 4

sorry if this doesn't help

The slope-intercept form of the line is y = -5x + 17.

What is a slope-intercept form?

Using a straight line's slope and the location of its y-axis intersection, the slope-intercept equation can be used to determine the general equation of the line. Y = mx + b is the equation in slope-intercept form.

Here, we have

Given: a slope of -5, and passes through the point (-4,3).

The slope-intercept form of the line : (y-y₁) = m(x-x₁)

Now, we put the given values and we get

m = -5 and point(-4,3).

(y-y₁) = m(x-x₁)

(y-3) = -5(x-(-4))

y - 3 = -5x + 20

y = -5x + 17

Hence, the slope-intercept form of the line is y = -5x + 17.

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The correct statement that describes where the fraction pi/4 comes from in the formula derivation is:

B. It is the ratio of the area of the circle to the area of the square from a cross section.

In the derivation of the formula for the volume of a cone, we consider a cross-section of the cone and the pyramid that it fits inside. The cross-section consists of a square base of the pyramid and the circle formed by the base of the cone. The fraction pi/4 represents the ratio of the area of the circle (base of the cone) to the area of the square (base of the pyramid) in that cross-section. This ratio is crucial in determining the volume relationship between the cone and the pyramid.

The right answer to the question regarding the origin of the fraction pi/4 in the formula derivation is B. It is the ratio of the cross-sectional area of the circle to the cross-sectional area of the square.

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p(x < c) is best described as the area under the cumulative distribution function (cdf), f(x), to the left of c.

In probability theory, the cumulative distribution function (cdf) is a function that provides the probability of a random variable taking on a value less than or equal to a given value. In this case, p(x < c) represents the probability that the random variable x is less than the value c. To find this probability, we look at the area under the cdf, f(x), to the left of c.

The cdf, f(x), is defined as the integral of the probability density function (pdf) of the random variable. The pdf gives the relative likelihood of the random variable taking on a specific value. By integrating the pdf from negative infinity to c, we obtain the area under the curve of the pdf up to the value c, which corresponds to the probability p(x < c).

Therefore, p(x < c) can be interpreted as the area under the cumulative distribution function, f(x), to the left of the value c. It represents the probability that the random variable x is less than c.

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Answer:

Around 52.94%

Step-by-step explanation:

We can use the percentage error formula, which is

\(\frac{|approx-exact|}{exact}\cdot100\).

The approximated value was 8, however the exact value was 17, so we can substitute inside the equation.

\(\frac{|8-17|}{17}\cdot100 \\\\\frac{|-9|}{17}\cdot100 \\\\\frac{9}{17}\cdot100 \\\\0.5294...\cdot100 \\\\52.94\)

Hope this helped!

The given statement " The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are completely accurate so that this is the only one whose true value may differ from its original estimate " is false because the allowable range for an objective function coefficient assumes that the original estimates for other coefficients are approximately correct

The allowable range for an objective function coefficient assumes that the original estimates for all the other coefficients are approximately correct, but not necessarily completely accurate. The allowable range takes into account the potential variability or uncertainty in the estimated values of the other coefficients, as well as the impact of any errors or discrepancies in the data used to estimate the model.

Therefore, the allowable range provides a range of values within which the objective function coefficient can vary while still producing a valid and useful model. It does not assume that the other coefficients are completely accurate or that this is the only coefficient whose true value may differ from its original estimate.

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Laura has 15 red sheets after using the final blue sheet and 3 red sheets from the given ratio. There were originally 19 sheets of construction paper in the bundle.

B/R = 2/7

The day before

=18 red + 1 blue

=19 sheets.

Given that she still possesses 15 red and that the ratio of B/R=2/7, she must have started with:

The original batch of paper contained 135 sheets, or 15 x 7 = 105 red sheets and 2/7 x 105 = 30 blue sheets.

4 sheets every day, during a period of 135 - 19 = 116 sheets, were used: 116/4 =29 days.

18 red sheets remain for the final day (105 - 29*3).

30 - 29*1 = 1 blue sheet remaining for the final day.

The correct question is : In a pack of construction paper, the numbers of blue and red sheets are originally in the ratio 2:7. Each day, Laura uses 1 blue sheet and 3 red sheets. One day, she uses 3 red sheets and the last blue sheet, leaving her with 15 red sheets. How many sheets of construction paper were in the pack originally?

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Residual Plot A indicates that the linear model is not appropriate because the fanned pattern shows that the model's predicting power decreases as the values of the explanatory variable increases. Residual Plot B indicates that the linear model is appropriate because the scattered residuals suggest a linear relationship.

Residual Plot A shows a fanned pattern which indicates that the linear model is not appropriate. This means that the model's predicting power decreases as the values of the explanatory variable increases. This suggests that the relationship between the dependent and independent variables is not linear and a different model may be necessary. Residual Plot B, on the other hand, shows a scattered pattern which suggests that the linear model is appropriate. The scattered pattern indicates that the data points are randomly distributed, which is a sign of a linear relationship. This indicates that the linear model is an appropriate fit for the data.

the complete question is :

Tell what each of the residual plots to the right indicates about the appropriateness of the linear model that was fit to the data. (a). Choose the best answer for residuals plot A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases. B. The fanned pattern indicates that the linear model is not appropriate. C. The model's predicting power increases as the values of the explanatory variable increases. The scattered residuals plot indicates an appropriate linear model. (b). Choose the best answer for residuals plot A. The scattered residuals plot indicates an appropriate linear model. B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear. C. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

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The measure of central angle of the circle is x = 130°

Given data ,

Let the measure of the major arc of the circle is = 295°

So , the measure of the minor arc = 65°

Now , Central Angle = 2 x Angle in other segment

On simplifying , we get

Central angle x = 2 ( 65 )

x = 130°

Hence , the measure of x of circle is 130°

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t is 1.383.

HTML tags cannot be used on the platform. However, the solution to the question is as follows:

Step 1: We must first find the t value such that 0.1 of the area under the curve is to the right of t.

For the given problem, the area to the left of t is 1 - 0.1 = 0.9.The value of t can be found using a t-table. This will give us the corresponding t-value for 0.9 area to the left of t.

Step 2: Assuming the degrees of freedom equals 9, select the t-value from the t table.Since we have 9 degrees of freedom and we need to find the t-value for 0.9 area to the left of t, we must look at the row that corresponds to 9 degrees of freedom in the t-table. In that row, we must look for the column that has a value closest to 0.9.

The t-value in that column will be the required value of t. The t-value that has a 0.9 area to the left of it is 1.383.So, the value of t such that 0.1 of the area under the curve is to the right of t is 1.383.

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Answer:

its b

Step-by-step explanation:

Answer:

Answer: 2x² + 8x -30 and 12 feet

Step-by-step explanation:

Just took the quiz

Answer: rotational symetry, reflection, and point

Step-by-step explanation:

Answer:

s= 2 as the traingles are similar so their ratio is 2:1

Answer:

22$

Step-by-step explanation:

Answer:

$41.89

Step-by-step explanation:

100%=35.50

1%=0.3550

18%=6.39

$35.50+6.39=$41.89

Answer: 49.89 percent

Step-by-step explanation:

Be a good boy

Increasing the sample size from 25 to 35, while keeping all other factors constant in a two-sided hypothesis test, will decrease the probability of a type II error. However, the extent of the decrease will depend on various factors such as the effect size, significance level, and power of the test.

If nothing else changes about the hypothesis test except the sample size, increasing the sample size from 25 to 35 will generally reduce the probability of a type II error.

This is because as the sample size increases, the standard error of the estimate decreases and the test becomes more powerful, making it more likely to reject the null hypothesis when it is false (i.e., reduce the probability of a type II error).

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Answer:

The zeros of a function are the points where the graph of the function crosses the x-axis.

Clearly Graph in option D could be the function which has 5 zeroes as it passes through the axis at 5 points.

Step-by-step explanation:

The graph of the function will intersect the x-axis five times. Then the correct option is D.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

If the function f has five distinct zeros.

Then the graph represents the complete graph of the function in the xy-plane will be

We know that the zeroes of the function are the intersection points of the x-axis and the function.

That means the graph will intersect the x-axis five times.

Then the correct option is D.

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Answer:

AB║CD

let a & b be length of parallel sides distance between them is h.

area of trapezium =

1/2 ah + 1/2 bh = 1/2 h ( a + b )

hope this answer helps you.....

The standard matrix of a linear transformation is a matrix that represents the transformation. In this case, the linear transformation t: R^2 → R^3 is defined by the values of t(2,3), t(3,4), and t(4,5).

To find the standard matrix of the linear transformation t, we consider how the transformation maps the standard basis vectors of R^2 to R^3. The standard basis vectors in R^2 are (1,0) and (0,1), and their images under t are the respective columns of the standard matrix.

Using the given values, we have:

t(1,0) = (t11, t21, t31) = t(2,3) - t(0,0) = (2,4,0) - (0,0,0) = (2,4,0)

t(0,1) = (t12, t22, t32) = t(3,4) - t(0,0) = (1,3,2) - (0,0,0) = (1,3,2)

Therefore, the standard matrix of the linear transformation t is:

| t11 t12 |

| t21 t22 |

| t31 t32 |

Substituting the values we found, the standard matrix is:

| 2 1 |

| 4 3 |

| 0 2 |

This matrix represents the linear transformation t: R^2 → R^3.

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The Epmo metric is 0.075.

Given in the Question:

We have given there are a sample of 1000 applicants

So, total number of applicants = 1000

In which 75 fail to meet the requirement

So the number of applicants who fail to meet the requirement = 75

Now, we will find the epmo metric.

We will use the formula of epmo metric:

epmo metric = number of applicant to fail to meet the requirements/

                         total number of applicants

epmo metric = 75/1000

= 0.075

Hence, the epmo metric is 0.075.

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The probability that a class of 50 has an average score that is less than 77 is approximately 11.90%.

To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means will be approximately normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
In this case, we have a population of marks on a biology final test that is normally distributed with a mean of 78 and a standard deviation of 6. We want to know the probability that a class of 50 has an average score that is less than 77.
Using the central limit theorem, we can calculate the standard error of the mean as follows:
standard error of the mean = standard deviation / square root of sample size
standard error of the mean = 6 / √50
standard error of the mean = 0.8485
Next, we need to calculate the z-score for a sample mean of 77:
z-score = (sample mean - population mean) / standard error of the mean
z-score = (77 - 78) / 0.8485
z-score = -1.18
We can use a standard normal distribution table or calculator to find the probability associated with a z-score of -1.18. The probability of a sample mean less than 77 is approximately 0.1190 or 11.90%.
Therefore, the probability that a class of 50 has an average score that is less than 77 is approximately 11.90%.

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Answer:tryna. Get points don't mind me

Step-by-step explanation:

Rounding to the nearest tenth, the area of the triangular windowpane is approximately 8.2 square feet.

To find the area of a triangular windowpane, we need to use the formula for the area of a triangle, which is:

Area = (1/2) x Base x Height

In this case, the base is 4 feet 8 inches and the height is 3 feet 6 inches. However, we need to convert these measurements to the same units before we can calculate the area. Since there are 12 inches in 1 foot, we can convert the measurements as follows:

Base = 4 feet + 8 inches/12 = 4.67 feet

Height = 3 feet + 6 inches/12 = 3.5 feet

Now we can plug in these values into the formula and calculate the area:

Area = (1/2) x 4.67 feet x 3.5 feet

Area = 8.1675 square feet

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