Valentina is trying to decide whether to join her school's swim team. During the summer, the team practices 4 days per week. Each of those days, they practice for 3 hours in the morning and practice again in the afternoon. They practice for a total of 20 hours each week.
Which equation can you use to find h, the length of each afternoon practice in hours?
Question 9 options:

4h+3=20


3h+4=20


3(h+4)=20


4(h+3)=20

What we can conclude by the given triangle about similarity is;

ΔPQR ∼ ΔPST

Similar triangles are defined as triangles that have the same shape, but their sizes may vary. Thus, if two triangles are similar, then it means that their corresponding angles are congruent and corresponding sides are in equal proportion.

Now, there are three types of similarity theorems for triangles namely;

Angle Angle(AA) Similarity

Side Angle Side(SAS) Similarity

Side Side Side(SSS) Similarity

We see that both triangles PQR and PST have equal angle R and angle T which are both 36 degrees. Thus, they are both similar by the AA Similarity theorem

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Answer:

22.62 degrees

Step-by-step explanation:

Right triangle

  you can pick cosine or sine to calculate angle r

        sin r = opposite leg/ hypotenuse = 5/13

                arcsin(5/13) = 22.62 degrees

         cos r =  12/13  

                r = arccos(12/13) =  22.62 degrees

Answer:

The person above (or below) me is correct, the answer is:

A.) Hundreds of thousands of women signed up for the US military.

B.) Women were hired to do jobs traditionally done by men.

E.) New laws ended discrimination in the government and defense industries.

F.) More African Americans and other minority workers were able to find jobs.

Step-by-step explanation:

I had this question on Edge, 2022.

(See the attachment below.)

Hope this helped, good luck on the assignment and quiz!

The  statements describe America’s workforce during World War II are:

Labor shortages were caused by military and economic development. To close the gender gap, the government and industry encouraged women to enter the labour force. While the majority of working women continued to work in more traditional jobs such as waitressing and teaching, millions took better-paying jobs in military manufacturers.

By the end of the war, over six million women had entered the labour sector, and by 1945, they accounted for about 37 percent of the workforce, up from only 27 percent in 1940.

Their contributions to the war effort were critical. Women accounted up 65 percent of all employees in the aerospace industry alone.

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The 98% confidence interval for the true proportion of working adults who feel that Statistics skills are important in their job is approximately 0.6303 to 0.7277.

Given that  the sample proportion is p^ = 323/475 = 0.679, and the critical value corresponds to a z-score of 2.33.

a) To compute the margin of error for the 98% confidence interval, we need to calculate the standard error.

The formula for the standard error of a proportion is given by:

SE = \(\sqrt{}\)((p^ * (1 - p^)) / n)

where p^ is the sample proportion, (1 - p^) is the complement of the sample proportion, and n is the sample size.

In this case, the sample proportion is p^ = 323/475 = 0.679.

Plugging in the values, gives:

SE = \(\sqrt{}\)((0.679 * (1 - 0.679)) / 475)

SE = \(\sqrt{}\)((0.679 * 0.321) / 475)

SE ≈ 0.0209

The margin of error (ME) is calculated by multiplying the standard error by the critical value.

For a 98% confidence level, the critical value corresponds to a z-score of 2.33 (obtained from a standard normal distribution table).

ME = 2.33 * SE

ME = 2.33 * 0.0209

ME ≈ 0.0487

Therefore, the margin of error for the 98% confidence interval is approximately 0.0487.

b) To calculate the confidence interval, we use the formula:

Confidence Interval = p^ ± ME

where p^ is the sample proportion and ME is the margin of error.

Plugging in the values, we have:

Confidence Interval = 0.679 ± 0.0487

To achieve the endpoints of the interval, and subtract and add the margin of error to the sample proportion:

Lower Endpoint = 0.679 - 0.0487

Lower Endpoint ≈ 0.6303

Upper Endpoint = 0.679 + 0.0487

Upper Endpoint ≈ 0.7277

Therefore, the 98% confidence interval for the true proportion of working adults who feel that Statistics skills are important in their job is approximately 0.6303 to 0.7277.

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Answer:

2/3x

Step-by-step explanation

Answer:

(x³-3x²-3x-1) / (27x³)

Step-by-step explanation:

((x-1) / (3x))³

= (x-1)³ / /3x)³

(x-1)³ = (x-1)(x-1)(x-1) = x³ - 3x² - 3x - 1

then:

(x-1)³ / (3x³) = (x³-3x²-3x-1) / (27x³)

The area inside the circle but outside the square is approximately 0.0474 square units.

To find the area inside the circle but outside the square, we first need to calculate the area of both the circle and the square.

The area of a square is given by the formula: side length squared. So, for a square with a side length of 11, the area would be 11^2 = 121 square units.

The area of a circle is given by the formula: pi times the radius squared. In this case, the radius is √3/3. Plugging this value into the formula, we get pi * (√3/3)^2.

Simplifying this, (√3/3)^2 = 3/9 = 1/3. Therefore, the area of the circle is pi * (1/3).

To find the area inside the circle but outside the square, we subtract the area of the square from the area of the circle. So, the required area is pi * (1/3) - 121.

Calculating this, we get the final answer as approximately 0.0474 square units.

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Answer:

20 movies ; $70

Step-by-step explanation:

Company 1:

Monthly charge = $40 ; additional = 1.5 per movie

Let number of movies = x ; t = cost

Equation 1:

y = 40 + 1.5x

Company 2:

Monthly charge = $30

Additional = $2 per movie

Equation 2:

y = 30 + 2x

1) for equation 1 = equation 2

40 + 1.5x = 30 + 2x

40 - 30 = 2x - 1.5x

10 = 0.5x

x = 10/0.5

x = 20

Hence, 20 movies

B.)

y = 30 + 2x

y = 30 + 2(20)

y = 30 + 40

y = $70

Answer:yellow

Step-by-step explanation:1/2x x is the number and decrease by 9

Answer:

Im bleeding i cant yet the hospital said i need to do math so

Step-by-step explanation:

Answer:

8 min

4 min

6 min

The second gardener trimmed the fastest

Step-by-step explanation:

You have to divide the amount of time by the number of bushes for each gardener.

First gardener: 72min / 9 bushes = 8min/bush

Second gardener:  20min / 5 bushes = 4min/bush

Third gardener: 48 min / 8 bushes = 6min/bush

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

b. m∠KML + m∠MLK = m∠JKM

Step-by-step explanation:

right on edge

The statement regarding the diagram "m∠KML + m∠MLK = m∠JKM" is true option (B) m∠KML + m∠MLK = m∠JKM is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a triangle shown in the picture:

As we know, triangle is a polygon with three sides and three interior angles.

From the definition of the triangle, The triangle's interior angles add up to 180°

m∠MKL + m∠MLK + m∠KML = 180

Also, the sum of the two interior angles is equal to the exterior angle.

m∠KML + m∠MLK = m∠JKM

Thus, the statement regarding the diagram "m∠KML + m∠MLK = m∠JKM" is true option (B) m∠KML + m∠MLK = m∠JKM is correct.

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The shaded area is 239.4 ft²

Answer:

They wil next leave at 2:10pm

Step-by-step explanation:

HCM of 9 and 15 is 45.

1:25+45mins= 2:10

Janelle bought 3 movie tickets and an order of popcorn for her family for $32.50. Jon bought 4 movie tickets and 2 orders of popcorn for his family for $46.So, the cost of a movie ticket is $9.50.Correct option is d. $9.50.

Let the cost of a movie ticket is x and the cost of order of popcorn is y.

Given that:

3x + y = 32.50 (Equation 1)

4x + 2y = 46 (Equation 2)

To solve the equations, we can use the method of substitution or elimination. Let's use the elimination method:

Multiply Equation 1 by 2 to make coefficient of y the same as in Equation 2:

6x + 2y = 65 (Equation 3)

Now, subtract Equation 3 from Equation 2:

(4x + 2y) - (6x + 2y) = 46 - 65

-2x = -19

x = 9.50

So, the cost of a movie ticket is $9.50.

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Answer:

9.

Step-by-step explanation:

The square root of 10 is approximately 3.16 so it would be closer to 9.

24 kilograms is equal to 52.91044 pounds.

The unit conversion between kilograms (kg) and pounds (lbs) is important to understand for people in various fields. To convert 24 kilograms (kg) into pounds (lbs), you will use a simple formula based on the fact that 1 kilogram is equal to 2.20462 pounds.

Here's how to perform the conversion:

Multiply 24 by 2.20462.

The result is the equivalent weight in pounds. In this case, 24 kilograms is equal to 52.91044 pounds.

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Answer:

Step-by-step explanation:

Answer: the area of the whole shape is 0.77. hope this helped.

Step-by-step explanation:

The correct answer is option c. 95%. Reaching out two standard errors on either side of the sample proportion gives us an interval of 95% confidence.

This is due to the fact that two standard errors on either side of the sample proportion will cover around 95% of the population's cases.

We can typically determine the true proportion in the population using this range of two standard errors on either side of the sample proportion.

This is because it helps us identify any potential outliers in the population and provides a range of population proportions for which we may be 95% certain.

We are 95% certain that the true percentage is capable inside the interval if we stretch out two standard errors on either side of the sample proportion.

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Answer:

the answer is $880.200

Step-by-step explanation:

The cross product assuming that u×v=⟨7,6,0⟩.(u−7v)×(u+7v) is                ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩.

The cross product of two vectors using the distributive property:

(u - 7v) × (u + 7v) = u × u + u × 7v - 7v × u - 7v × 7v

Also, cross product is anti-commutative. Specifically, the cross product of v × w is equal to the negative of the cross product of w × v. So, we can simplify the expression as follows:

(u - 7v) × (u + 7v) = u × 7v - 7v × u - 7(u × 7v)

Now, using u × v = ⟨7, 6, 0⟩ to evaluate the cross products:

u × 7v = 7(u × v) = 7⟨7, 6, 0⟩ = ⟨49, 42, 0⟩

7v × u = -u × 7v = -⟨7, 6, 0⟩ = ⟨-7, -6, 0⟩

Substituting these values into the expression:

(u - 7v) × (u + 7v) = ⟨0, 7u_2 - 6u_3, 7u_3 - 6u_2⟩ - 7⟨7, 6, 0⟩ - 7⟨-7, -6, 0⟩

= ⟨0, 7u_2 - 6u_3, 7u_3 - 6u_2⟩ - ⟨49, 42, 0⟩ + ⟨49, 42, 0⟩

= ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩

Therefore, (u - 7v) × (u + 7v) = ⟨-49, -7u_2 + 6u_3, -7u_3 + 6u_2⟩.

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Answer:

-6/5

Step-by-step explanation:

The slope of a line passing through two points (x1, y1) and (x2, y2) can be found using the slope formula:

slope = (y2 - y1) / (x2 - x1)

Plugging in the given points, we get:slope = (14 - 8) / (-3 - 2) = 6 / (-5)

To write this in simplest form, we can divide the numerator and denominator by their greatest common factor, which is 1 in this case. So the slope in simplest form is:

slope = 6 / (-5) = -6/5

Using the rise/run notation, we can say that the slope of the line passing through the points (2, 8) and (-3, 14) is -6/5, or -6 over 5.

The rise is -6 (since we move down 6 units from y1 to y2), and the run is 5 (since we move 5 units to the left from x1 to x2).

Answer:

810!

Hope this helped! Have a nice day!!

Answer:

30% of 2,700 is 810

Step-by-step explanation:

proportions

0.30×2,700

810

Answer:

Seems correct. I would never use pen for a math assignment though ;-;

Here’s the answer sheet lol.

Step-by-step explanation:

Answer:

Answer:56.8

Step-by-step explanation:

First you get how much he earned

Then you get how much days he worked

Then you divide

£284/5

Answer: £57.20

Hope this helps you guys!

Answer:

the second and third one

Step-by-step explanation:

With a frame length of 1, the expectation is 5 seconds and the         standard deviation is approximately 3.464 seconds for the number of seconds between two consecutive connections.

(a) To determine the frame length Δ that gives a probability of 0.15 of an arrival during any given frame, we need to consider the Binomial counting process and its probability distribution.

In a Binomial distribution, the probability of success (an arrival) is given by p, and the probability of failure (no arrival) is given by q = 1 - p. In this case, p = 12 connections per minute.

We can use the cumulative distribution function (CDF) of the Binomial distribution to find the frame length Δ. The CDF gives the probability of having k or fewer arrivals in a given number of frames.

Using a binomial probability table or a calculator, we find that when p = 0.15, the corresponding value of k is 1. Therefore, the frame length Δ that gives a probability of 0.15 of an arrival during any given frame is 1 frame.

(b) With a frame length Δ of 1, we can compute the expectation (mean) and standard deviation for the number of seconds between two consecutive connections.

The average rate of connections is 12 per minute. To find the average time between two consecutive connections, we take the reciprocal of the rate: 1/12 minutes per connection.

To convert minutes to seconds, we multiply by 60: (1/12) * 60 = 5 seconds.

Therefore, the expectation (mean) for the number of seconds between two consecutive connections is 5 seconds.

The standard deviation can be calculated using the formula for the standard deviation of a Poisson process, which is the limit of the Binomial distribution as the number of trials becomes large. For a Poisson process, the standard deviation is equal to the square root of the average rate: √(12) ≈ 3.464 seconds.

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Answer:

Step-by-step explanation:

Since the plumber charges $50 regardless of how many hours he works, then the equation must be 50 + ....

Since the plumber charges $80 for each hour, then the equation will be y = 50 + 80x.