Find the length of x 10/15=x/20

Answer: 56

Step-by-step explanation:

Answer:

250 minutes.

Step-by-step explanation:

1/5=50/x

cross product

5*50=1*x

250=x

Answer:

distance between the two ships changing at that time is 36 mph

Step-by-step explanation:

given data

ship = 40 mi from port

ship moving = 30 mph

oil tanker = 30 mi from port

oil tanker moving = 20 mph

solution

we will apply here pythagoras theorem so we get here

x² + y² = L²   .....................1

here x is distance of ship from port

and y is distance of oil tanker from port

and L is distance between oil tanker and ship

so put here value and we get

40² + 30² = L²

L = 50 mile

now we differentiate equation1 with respect to time t

\(2x\ \frac{dx}{dt} + 2y\ \frac{dy}{dt} = 2L\ \frac{dL}{dt}\)      ...............2

put here value  and we get

40 × 30 + 30 × 20 = 50 × \(\frac{dL}{dt}\)  

\(\frac{dL}{dt}\)   = 36 mph

so distance between the two ships changing at that time is 36 mph

Answer:

part A: the warmer the city temp was the more lemonade that was sold so a hotter day will sell more lemonade

part B: i used points 40,8 and 90,20 and got m= 25/6 then i did y=mx+b

90=25/6(1)+b

90/1=25/6+b

25/6   25/6

and then B= 21.6

Step-by-step explanation: im not sure if i did it right so i would check i havent done this since like the 6th grade like 4 years or so ago lol

Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A.

Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A. This is due to the fact that for any symmetric matrix A, the image (column space) and kernel (null space) are orthogonal subspaces. Since v is in the image of A and w is in the kernel of A, their dot product must be zero, indicating orthogonality.

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a. The sample proportion is calculated by dividing the number of voters in favor of the school bond measure (281) by the total number of voters in the sample (1000). Therefore, the sample proportion is 0.281.

b. The margin of error for a 90% confidence level can be calculated using the formula: margin of error = 1.645 x sqrt[(sample proportion x (1 - sample proportion)) / sample size]. Plugging in the values, we get: margin of error = 1.645 x sqrt[(0.281 x 0.719) / 1000] = 0.028.
c. The margin of error for a 95% confidence level can be calculated using the same formula: margin of error = 1.96 x sqrt[(sample proportion x (1 - sample proportion)) / sample size]. Plugging in the values, we get: margin of error = 1.96 x sqrt[(0.281 x 0.719) / 1000] = 0.032.
d. The 95% confidence interval can be calculated using the formula: sample proportion +/- (margin of error x z-score), where the z-score for a 95% confidence level is 1.96. Plugging in the values, we get: 0.281 +/- (0.032 x 1.96) = [0.219, 0.343]. Therefore, the 95% confidence interval is [0.219, 0.343].

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Answer:

Step-by-step explanation:

28.57% profit.

You're welcome.

<3

Answer:

Step-by-step explanation:

28.57%

round off to

28.6%

A genetic experiment with peas resulted in a sample of 412 green peas and 155 yellow peas.

To estimate the percentage of yellow peas in the population, we can construct a 90% confidence interval. Using a calculator or statistical software, we find that the margin of error is 0.035 and the interval extends from 0.253 to 0.335. To express these percentages in decimal form, we divide by 100 to get 0.253 and 0.335.
Next, we compare this interval to the expected percentage of yellow peas, which was 25%. The interval does not include 0.25, so we cannot be 90% confident that the true percentage of yellow peas in the population is 25%. However, this does not necessarily mean that the results contradict expectations. The confidence interval includes values both above and below 0.25, so it is possible that the true percentage is still close to 25%. Additionally, it is important to consider the sample size and potential sources of error in the experiment before drawing conclusions about the results.

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Answer: To estimate how many Hershey's Kisses can be made with 200 gallons of liquid chocolate, we need to make a number of assumptions and estimates based on the available information.

First, we need to determine how much liquid chocolate is required to make a single Hershey's Kiss. This information is not readily available, but we can estimate based on the weight of a single Kiss and the density of chocolate. According to Hershey's website, a single Hershey's Kiss weighs about 4.5 grams. The density of chocolate varies depending on the type of chocolate and the specific recipe, but we can assume a density of around 1.2 grams per milliliter.

To convert 200 gallons to milliliters, we can use the conversion factor 1 gallon = 3785.41 milliliters. So:

200 gallons x 3785.41 milliliters/gallon = 757,082 milliliters

Assuming a density of 1.2 grams per milliliter, 757,082 milliliters of liquid chocolate would weigh:

757,082 milliliters x 1.2 grams/milliliter = 908,498 grams

Dividing this total weight of chocolate by the weight of a single Hershey's Kiss (4.5 grams) gives an estimate of the total number of Kisses that could be made with 200 gallons of liquid chocolate:

908,498 grams ÷ 4.5 grams/Kiss ≈ 201,778 Kisses

Of course, this is a rough estimate that makes a number of assumptions and simplifications. In reality, the actual number of Hershey's Kisses that could be made with 200 gallons of liquid chocolate would depend on a variety of factors, including the specific recipe and production process, as well as the size and shape of the Kisses themselves. However, this estimate provides a reasonable starting point for further analysis and exploration.

Step-by-step explanation:

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

x = 2

Step-by-step explanation:

\(5x + 3 = 7x - 1 \\ 3 + 1 = 7x - 5x \\ 4 = 2x \\ \frac{4}{2} = x \\ 2 = x \\ x = 2\)

If the building itself will be used as one of the sides of the enclosed area. The maximum area that can be enclosed by the fencing is: 31,250ft².

Let the area be x ft long

Let the width be (500 -x )/2

Hence,

x × (500 - x)/2 = -1/2x² + 250x

When,

x = 250

So,

Maximum area =-1/2 × 250² +250 ×250

Maximum area = -31,250ft + 62,500ft

Maximum area = 31,250ft²

Therefore 31,250ft² is the maximum area.

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If people prefer a choice with risk to one with uncertainty, they are said to be averse to uncertainty.

Uncertainty and risk are related concepts in decision-making under conditions of incomplete information. However, they represent different types of situations.

- Risk refers to situations where the probabilities of different outcomes are known or can be estimated. In other words, the decision-maker has some level of knowledge about the possible outcomes and their associated probabilities. When people are averse to risk, it means they prefer choices with known probabilities and are willing to take on risks as long as the probabilities are quantifiable.

- Uncertainty, on the other hand, refers to situations where the probabilities of different outcomes are unknown or cannot be estimated. The decision-maker lacks sufficient information to assign probabilities to different outcomes. When people are averse to uncertainty, it means they prefer choices with known risks (where probabilities are quantifiable) rather than choices with unknown or ambiguous probabilities.

In summary, if individuals show a preference for choices with known risks over choices with uncertain or ambiguous probabilities, they are considered averse to uncertainty.

If people prefer a choice with risk to one with uncertainty, they are said to be averse to uncertainty.

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Answer:

A

Step-by-step explanation:

\(3^{5} = 243\\3^{2} = 9\\243/9 = 27\\27 = 3^{3}\)

Answer:

3⁵÷3²

Applying law of indices rule of division of power.

(If we have same term then we can make it one and then we can subtract the power)

3⁵ ‐ ²

3 ³

SO ANSWER IS (A)

In the given proof shown below, the idea of tangents and perpendicularity is used to set up a relationship between two lines, AR and BS.

The tangent is a term that is used to tell more or described as the  point of contact between a circle or an ellipse and a single line.

Based on the fact  that the tangent line is perpendicular to radius of the circle.

Hence, AR ⊥ RS and BS ⊥ RS

Therefore, AR and BS ⊥ similar to line RS.

So,  the line AR or BS are said to be either in same line or parallel. because , they are the radius of different circles.

Therefore, AR ║BS.

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Answer:

144

Step-by-step explanation:

f(4)=3*4^2

f(4)=12^2

12*12=144

Answer:

This many.

Step-by-step explanation:

Simplifying

5 = 5x + -20

Reorder the terms:

5 = -20 + 5x

Solving

5 = -20 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

5 + -5x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0

5 + -5x = -20 + 0

5 + -5x = -20

Add '-5' to each side of the equation.

5 + -5 + -5x = -20 + -5

Combine like terms: 5 + -5 = 0

0 + -5x = -20 + -5

-5x = -20 + -5

Combine like terms: -20 + -5 = -25

-5x = -25

Divide each side by '-5'.

x = 5

Simplifying

x = 5

Answer

O False

Step-by-step explanation

Let's plug in each co-ordinate into the inequality:

\(\sf{3x+2y\leqslant2}\)

I plug in 2 for x and 1 for y:

\(\sf{3(2)+2(1)\leqslant2}\)

Simplify

\(\sf{6+2\leqslant2}\)

\(\sf{8\leqslant2}\)

Hence, the (2,1) doesn't make the inequality true, so the statement is false.

Answer:

The dimensions of this rectangle are 65 in by 39 in ⇒ B

Step-by-step explanation:

Let us use the ratio method to solve the question

∵ The perimeter of the rectangle = 2(length + width)

∵ The perimeter of a rectangle is 208 inches

∴ 208 = 2(length + width)

→ Divide both sides by 2

∴ 104 = length + width

∵ The ratio  of its length to its width is 5: 3

∴ The sum of the ratios = 5 + 3 = 8

→ By using the ratio method

→  length  :  width  :  length + width

→  5           :  3         :  8

→  x            :  y         :  104

→ By using cross multiplication

∵ x × 8 = 5 × 104

∴ 8x = 520

→ Divide both sides by 8

∴ x = 65

∵ y × 8 = 3 × 104

∴ 8y = 312

→ Divide both sides by 8

∴ y = 39

∵ x and y represents the length and the width of the rectangle

∴ The length = 65 inches

∴ The width = 39 inches

∴ The dimensions of this rectangle are 65 in by 39 in

Answer:

14.6mm

Step-by-step explanation:

The formula for finding the circumference of a circle is 2πr.

The circumference is 91.688 millimeters inorder to find the radius we have to do the opposite or inverse of multiplication which is division.

So we divide the circumference by 2 and pi which is 3.14 which will give us the radius

r = radius = 91.668 ÷ 3.14 ÷ 2 = 14.6

Answer: its c

Step-by-step explanation:

verify each option

AC is not changed -

ED is not changed

BC is changed

answer is

AC and ED

When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.

A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.

As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.

The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.

So, the correct answer is B

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9514 1404 393

Answer:

  C)  18

Step-by-step explanation:

  GD = GF + FE + ED

The lengths of GF and ED can be found from the relations ...

  GF + FE = GE

  GF + 1 = 12 . . . .use the given lengths

  GF = 11 . . . . . . . subtract 1

and ...

  FE + ED = FD

  1 + ED = 7 . . . . use the given lengths

  ED = 6 . . . . . . . subtract 1

Then the length of interest is ...

  GD = GF + FE + ED

  GD = 11 + 1 + 6

  GD = 18

Answer:

2/3

Step-by-step explanation:

Jan used 4 1/5 yards of ribbon and has 1 1/4 yards left. Jan started with 109/20 yards of ribbon, which can also be expressed as 5 9/20 yards.

The amount Jan used: 4 1/5 yards

The amount Jan has left: 1 1/4 yards

To add these two amounts, we can convert both to improper fractions:

\(4 1/5 = (4 * 5 + 1) / 5 = 21/5\)

\(1 1/4 = (1 * 4 + 1) / 4 = 5/4\)

To convert the mixed fraction to an improper fraction, we multiply the whole number (4) by the denominator of the fraction (5) and add the numerator (1) to get the numerator of the improper fraction: (4 * 5) + 1 = 21.

Now we can add the two fractions:

\(21/5 + 5/4\)

To add fractions, we need to find a common denominator, which in this case is 20:

\((21/5) * (4/4) + (5/4) * (5/5) = 84/20 + 25/20 = 109/20\)

Therefore, Jan had a total of 109/20 yards of ribbon to start with.

To simplify the fraction, we can divide the numerator by the denominator:

\(109/20 \div 1 = 109/20\)

So Jan started with 109/20 yards of ribbon, which can also be expressed as 5 9/20 yards.

To convert the improper fraction to a mixed number, we divide the numerator (59) by the denominator (20) and express the remainder as a fraction:

59 ÷ 20 = 2 remainder 19

So, Jan started with 2 19/20 yards of ribbon.

In decimal form, this is approximately 2.95 yards.

Therefore, Jan started with approximately 2.95 yards of ribbon.

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

\(25x = 75\)

divide both sides by 25

\(\dfrac{25x }{25} = \dfrac{75}{25}\)

evaluate following

\(x = 3\)

substitute x = 3 in expression

\(25(3) = 75\)

\(75 = 75\)

Hence, the statement is true.

SOLUTION:

Given:

Aaron's height: 60 inches

Required: Find Monique's height.

Relationship: Monique's height minus 5 inches equals Aaron's height.

Statement: Let Monique's height be represented by m

Equation:

Final answer:

Monique is 65 inches tall