A pencil pouch has 12 pencils and 30 led pencils, What is the ratio of
pencils to led pencils?

Answer:

Step-by-step explanation:

W=2.5, L=x

A=LW=2.5x

P=2(L+W)=2(2.5+x)=5+2x

P=A

5+2x=2.5x

5-0.5x=0

-0.5x=-5

x=10

The correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

A bleach and water solution with a 2:3 ratio means that for every 2 parts of bleach, there should be 3 parts of water. This ratio is typically expressed in terms of volume or quantity.

To understand this ratio, let's break it down using different units:

A. 1/3 part bleach and 2/3 part water:

If we consider 1/3 part bleach, it means that for every 1 unit of bleach, there should be 2 units of water. However, this does not match the given 2:3 ratio.

B. 2 cups of bleach and 3 cups of water:

If we consider cups as the unit of measurement, this means that for every 2 cups of bleach, there should be 3 cups of water. This matches the given 2:3 ratio, making it a valid interpretation.

C. 3 cups of bleach and 2 cups of water:

If we consider cups as the unit of measurement, this means that for every 3 cups of bleach, there should be 2 cups of water. However, this interpretation does not match the given 2:3 ratio.

Based on the given options, the correct interpretation of a bleach and water solution with a 2:3 ratio would be option B: 2 cups of bleach and 3 cups of water.

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The ladder should be approximately 61.8 feet long to reach the windowsill 50 feet above the ground. Rounded to the nearest foot, the length of the ladder needed is 62 feet.

To find the length of the ladder needed to reach a windowsill 50 feet above the ground, we can use the trigonometric relationship of a right triangle.

Let's denote the length of the ladder as L. The ladder forms a right triangle with the ground and the side of the building. The height of the windowsill is the opposite side, and the distance from the base of the ladder to the building is the adjacent side.

The angle between the ladder and the ground is given as 5π/12 radians.

Using the trigonometric function tangent (tan), we can set up the following equation:

tan(5π/12) = height / distance

tan(5π/12) = 50 / distance

To solve for the distance, we rearrange the equation:

distance = 50 / tan(5π/12)

Using a calculator, we can evaluate the tangent of 5π/12 radians:

tan(5π/12) ≈ 1.37638192047

Substituting this value back into the equation:

distance ≈ 50 / 1.37638192047

distance ≈ 36.3114 feet

Therefore, the distance from the base of the ladder to the building is approximately 36.3114 feet.

To find the length of the ladder, we can use the Pythagorean theorem:

L^2 = distance^2 + height^2

L^2 = 36.3114^2 + 50^2

L^2 ≈ 1317.7532 + 2500

L^2 ≈ 3817.7532

L ≈ √3817.7532

L ≈ 61.8 feet

Therefore, the ladder should be approximately 61.8 feet long to reach the windowsill 50 feet above the ground. Rounded to the nearest foot, the length of the ladder needed is 62 feet.

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Answer:i

Step-by-step explanation:

Answer:

It is E and F

Step-by-step explanation:

A quadratic equation is written in the form of ax²+bx+c. The two values of x that are the roots of the polynomial are E and F.

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The roots of the quadratic equation are found as shown below,

\(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

If the given equation x²-11x+17 is compared with the general quadratic equation ax²+bx+c, then the value of a, b, and c is 1, -11, and 17, respectively.

The roots of the given polynomial x²-11x+17=0 can be found as shown below. Therefore, The roots of the polynomial are,

\(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\x = \dfrac{-(-11) \pm \sqrt{(-11)^2 - 4(1)(17)}}{2(1)}\\\\x = \dfrac{11 \pm \sqrt{121 - 68}}{2}\\\\x = \dfrac{11 \pm \sqrt{53}}{2}\)

x= (11 + √53)/2 , (11 - √53)/2

Hence, the two values of x that are the roots of the polynomial are E and F.

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The expression which represents the value of sin s + 12 > 100 is 70r + 185.Given that sin s + 12 > 100.

By subtracting 12 from both sides, we get sin s > 88Now, we can take any value of 'r' from 0 to infinity to represent the sin s value as sin s is greater than 1 which is not possible.Using r = 1, we get sin s = 70 × 1 + 185 = 255, which is greater than 88.Therefore, 70r + 185 represents the value of sin s + 12 > 100.The equation you provided, sin(s) + 12 > 100, involves trigonometric functions and an inequality. It does not directly correspond to any of the options you provided. It seems like there might be some confusion or missing information. Could you please provide more context or clarify the equation?

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Answer:

c

Step-by-step explanation:

48 points equals one game

The correct answer is option 2: 0.089.  the margin of error for the survey results described. In a survey of 125 adults, 30% said that they had tried acupuncture at some point in their lives.

To find the margin of error for the survey results, we can use the formula:

Margin of Error = Critical Value * Standard Error

The critical value is determined based on the desired confidence level, and the standard error is a measure of the variability in the sample data.

Assuming a 95% confidence level (which corresponds to a critical value of approximately 1.96 for a large sample), we can calculate the margin of error:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the proportion of adults who said they had tried acupuncture (30% or 0.30 in decimal form), and n is the sample size (125).

Standard Error = sqrt((0.30 * (1 - 0.30)) / 125)

Standard Error = sqrt(0.21 / 125)

Standard Error ≈ 0.045

Margin of Error = 1.96 * 0.045 ≈ 0.0882

Rounding the margin of error to three decimal places, we get 0.088.

Therefore, the correct answer is option 2. 0.089.

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Answer:

Option B. -4

Step-by-step explanation:

-12 x (1/3)

=> -12 ÷ 3

=> -4

Therefore, -4 is our answer.

Hoped this helped.

The area of the circle grows by a factor of 9, and the actual area is 360

The given parameters are:

Old area = 40

Scale factor = 3

When the circle is dilated, the new area becomes

New area = Old * (Scale factor)^2

Substitute 3 for scale factor

New area = Old * 3^2

Evaluate the exponent

New area = Old * 9

This means that the area of the circle grows by a factor of 9, and the actual area is:

New area = 40 * 9 = 360

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Answer:

first option

Step-by-step explanation:

The equation representing a proportional relationship is

y = kx ← k is the constant of proportion

Here k = 0.7, thus

y = 0.7x ← is the required equation

Given

\(\frac{y}{x}\) = \(\frac{7}{10}\) ( cross- multiply )

10y = 7x ( divide both sides by 10 )

y = \(\frac{7}{10}\) x = 0.7 x ← the required equation

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Square is the answer

hope it helps u

plz mark it as brainliest

False. To determine if a sample correlation is large enough to conclude that there is a real correlation in the general population, we need to perform a hypothesis test. In this case, we would use a two-tailed test with an alpha level of 0.05.

The null hypothesis (H0) for this test would be that there is no correlation in the general population (ρ = 0). The alternative hypothesis (Ha) would be that there is a correlation in the general population (ρ ≠ 0).

To conduct the test, we would calculate the test statistic, which is the sample correlation r transformed into a t-value using the formula:

t = (r√(n-2))/√(1-r²)

In this case, with a sample correlation of r = 0.355 and a sample size of n = 30, we would calculate the t-value and compare it to the critical value from the t-distribution with (n-2) degrees of freedom.

If the calculated t-value falls outside the critical region, we would reject the null hypothesis and conclude that there is a real correlation in the general population. Otherwise, if the calculated t-value falls within the critical region, we would fail to reject the null hypothesis and conclude that there is not enough evidence to support a real correlation in the general population.

Since we don't have the critical value or the calculated t-value, we cannot make a definitive conclusion. However, we can say that the statement provided does not provide enough information to determine if there is a real correlation in the general population based on the given sample correlation and sample size.

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Answer:

-8.5411

Step-by-step explanation:

I just did this with the desmos calculator !

a.The probability that X > 37, P(X > 37) = 0.9641

b. P(X < 41) = 0.1587

c. X = 39

d. X = 42 and X = 50 (symmetrically distributed around the mean)

a. To find the probability that X > 37, we need to calculate the area under the normal distribution curve to the right of 37. Using the z-score formula:

z = (X - μ) / σ

where X is the given value, μ is the mean, and σ is the standard deviation, we can calculate the z-score:

z = (37 - 46) / 5 = -1.8

Using the cumulative standardized normal distribution table, we can find the corresponding probability. The table indicates that P(Z < -1.8) = 0.0359.

Since we are interested in P(X > 37), which is the complement of P(X ≤ 37), we subtract the obtained value from 1:

P(X > 37) = 1 - 0.0359 = 0.9641 (rounded to four decimal places)

b. To find the probability that X < 41, we calculate the z-score:

z = (41 - 46) / 5 = -1

From the cumulative standardized normal distribution table, we find that P(Z < -1) = 0.1587.

Therefore, P(X < 41) = 0.1587 (rounded to four decimal places).

c. To find the X-value for which 10% of the values are less, we need to find the corresponding z-score. From the cumulative standardized normal distribution table, we find that the z-score for a cumulative probability of 0.10 is approximately -1.28.

Using the formula for the z-score:

z = (X - μ) / σ

we rearrange it to solve for X:

X = μ + (z * σ)

X = 46 + (-1.28 * 5) ≈ 39 (rounded to the nearest integer)

Therefore, 10% of the values are less than X = 39.

d. To find the X-values between which 60% of the values are located, we need to determine the z-scores corresponding to the cumulative probabilities that bracket the 60% range.

Using the cumulative standardized normal distribution table, we find that a cumulative probability of 0.20 corresponds to a z-score of approximately -0.84, and a cumulative probability of 0.80 corresponds to a z-score of approximately 0.84.

Using the z-score formula:

X = μ + (z * σ)

X1 = 46 + (-0.84 * 5) ≈ 42 (rounded to the nearest integer)

X2 = 46 + (0.84 * 5) ≈ 50 (rounded to the nearest integer)

Therefore, 60% of the values are between X = 42 and X = 50.

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Answer:

g(x) = x^2 + 6

Step-by-step explanation:

We are trying to find what is g(x) from the graph. f(x) = x^2 translated to g(x).

g(x) = (x - h)^2 +k

It appears the graph is just translated up by k = 6 and no transition of left/right h = 0.

g(x) = (x-0)^2 + 6

g(x) = x^2 + 6

The variance of the given returns is approximately 0.1475. The variance measures the dispersion or variability of the returns from the mean return.

To calculate the variance, we need to follow a few steps:

Calculate the mean (average) return:

Mean = (Year 1 + Year 2 + Year 3 + Year 4) / 4

= (16% + 6% + (-25%) + (-3%)) / 4

= -6% / 4

= -1.5%

Calculate the squared deviations from the mean for each year:

Deviation from mean for Year 1 = 16% - (-1.5%) = 17.5%

Deviation from mean for Year 2 = 6% - (-1.5%) = 7.5%

Deviation from mean for Year 3 = -25% - (-1.5%) = -23.5%

Deviation from mean for Year 4 = -3% - (-1.5%) = -1.5%

Square each deviation:

Squared deviation for Year 1 = (17.5%)^2 = 0.0306

Squared deviation for Year 2 = (7.5%)^2 = 0.0056

Squared deviation for Year 3 = (-23.5%)^2 = 0.5525

Squared deviation for Year 4 = (-1.5%)^2 = 0.000225

Calculate the average of the squared deviations:

Variance = (0.0306 + 0.0056 + 0.5525 + 0.000225) / 4

= 0.589925 / 4

≈ 0.1475

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Answer:

si

Step-by-step explanation:

si

Answer:

Step-by-step explanation:

if the ratio of red to blue circles is 1:3 how many more red circles need to be added to make it a ratio of 3:1

add 8 red =

9/3 = 3/1

Answer:

Let's start by using a proportion to find the total number of questions on the test. We know that Charles answered 23 questions correctly and received a grade of 92%, which means he missed 8% of the questions.

Let x be the total number of questions on the test. Then 8% of the questions that Charles missed can be expressed as 0.08x.

The number of questions that Charles answered correctly plus the number of questions he missed must add up to the total number of questions on the test:

23 + 0.08x = x

Simplifying and solving for x, we get:

0.92x = 23

x = 23 / 0.92

x ≈ 25

Therefore, the total number of questions on the test was approximately 25.

Answer:

9(x+3)

Step-by-step explanation:

9x + 27

Taking 9 as the common factor in the 2 terms

=> 9(x) + 9(3)

=> 9(x+3)

Answer:

g

Step-by-step explanation:

g

The area under the curve y = x² + 5/7x - x² from 1 to 6 is equal to 25 square units.

To find the area of the region under the given curve from 1 to 6, we need to integrate the function y = x² + 5/7x - x² with respect to x over the interval [1, 6].
First, we need to simplify the function by combining like terms:
y = x² + 5/7x - x²
y = 5/7x
Now, we can integrate the function over the interval [1, 6]:
∫[1, 6] (5/7x) dx = (5/7) * ∫[1, 6] x dx
= (5/7) * [x^2/2] from 1 to 6
= (5/7) * (36/2 - 1/2)
= (5/7) * (35)
= 25

Therefore, the area of the region under the given curve from 1 to 6 is 25 square units.

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beans

BEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAANNNNNNNNNNNNS

this deserves five stars and branliyest

The eigenvector of the linear transformation is [1, -2, 1].

To find the eigenvectors of the linear transformation that projects points onto the plane W generated by u = (1, 2, 3) and v = (1, 0, 1), we can determine the null space of the projection matrix.

Create the projection matrix P:

P = (uu^T + vv^T)/(||u||^2 + ||v||^2)

Here, "*" denotes the dot product, "^T" denotes the transpose, and "|| ||" denotes the magnitude of a vector.

uu^T = (1, 2, 3)(1, 2, 3)^T = [1 2 3; 2 4 6; 3 6 9]

vv^T = (1, 0, 1)(1, 0, 1)^T = [1 0 1; 0 0 0; 1 0 1]

||u||^2 = 1^2 + 2^2 + 3^2 = 14

||v||^2 = 1^2 + 0^2 + 1^2 = 2

P = [1/16 1/8 3/16; 1/8 1/4 3/8; 3/16 3/8 9/16]

Find the null space of P:

To find the eigenvectors, we need to solve the equation P * x = 0, where x is a column vector representing the eigenvector.

Solving the system of equations, we find:

x1 = -t

x2 = 2t

x3 = -t

Thus, the null space of P is spanned by the vector [1, -2, 1].

Therefore, the eigenvector of the linear transformation is [1, -2, 1].

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The point (-2,4) lies in second quadrant, (3,-1) lies in fourth quadrant, (-4,0) lies in second quadrant, (-4,0) lies in second quadrant, (2,3) lies in first quadrant, abscissa of origin is -4, the sign of y - coordinate below the x-axis is negative and the coordinate of a point lying on the y axis at -3 is (0,-3).

Given nothing but we are required to answer the given questions.

a)The point (-2,4) lies in second quadrant, (3,-1) lies in fourth quadrant, (-4,0) lies in second quadrant, (-4,0) lies in second quadrant, (2,3) lies in first quadrant.

b) Abscissa of origin is -4.

c) The sign of y - coordinate below the x-axis is negative,

d) The coordinate of a point lying on the y axis at -3 is (0,-3).

Hence the point (-2,4) lies in second quadrant, (3,-1) lies in fourth quadrant, (-4,0) lies in second quadrant, (-4,0) lies in second quadrant, (2,3) lies in first quadrant, abscissa of origin is -4, the sign of y - coordinate below the x-axis is negative and the coordinate of a point lying on the y axis at -3 is (0,-3).

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whenever you see this kind of question you don't need to start doing all the expressions, but look at the first and last numbers of the answer, the ones that cannot be changed (have no x or y or have those that cannot be changed in this expression):

the answer can't be a or c because in the given expression we can find 3x²y² and that's the only number where we can find x²y², so it cannot be changed. (you'll have 3x²y² in the answer)

now let's look at the last digit, that doesn't have a x or a y:

in b and d we can find 2 different results so this can determine which answer is correct:

let's look back at the given expression: -7+4= -3

so the answer is b

Answer: 24

Step-by-step explanation:

Answer:

By using the pythsgorean theorem! simple

Answer:\(\sqrt{155}\)

Step-by-step explanation:

Oh god pythagorean triples got thrown out the window for this one. This will be a bit ugly.

First, we find the other side length of the rectangle using the pythagorean theorem.

Then, we use that side length in ANOTHER pythagorean theorem to get our answer.

Well, we know that the side length is \(\sqrt{5^{2}+9^{2} }\)

We'll use whatever that number is, let's call it x for now, in our other expression:

\(\sqrt{x^{2}+7^{2}}\)

So we can do this in one clean equation by substituting our first equation as x in the second one.

Or do them separately. Your choice.

Anyways, try to solve this one now that you know what to do. If you need more help then message.