can anybody help me with this?

It will take the jogger 12 seconds to reach the end of a 20 m long driveway. To determine the car's acceleration during the collision, we can use the equation.

acceleration = (final velocity - initial velocity) / time

The initial velocity is 50 km/h, which needs to be converted to m/s:

initial velocity = 50 km/h = (50 * 1000) / 3600 m/s = 13.89 m/s

The final velocity is 0 m/s since the car comes to a complete stop.

The time taken for the car to stop is 0.18 s.

Using the equation above, we can calculate the acceleration:

acceleration = (0 - 13.89) / 0.18 = -77.17 m/s^2

The car's acceleration during the collision is -77.17 m/s^2.

To determine how much larger this acceleration is compared to the gravitational acceleration (g), we can divide the car's acceleration by g:

acceleration ratio = acceleration / g = -77.17 m/s^2 / 9.8 m/s^2 = -7.88

The car's acceleration during the collision is about 7.88 times larger than the gravitational acceleration.

For the jogger, we can use the equation of motion:

final velocity = initial velocity + acceleration * time

The initial velocity is 0 m/s since the jogger starts from rest.

The final velocity is 8.0 km/h, which needs to be converted to m/s:

final velocity = 8.0 km/h = (8.0 * 1000) / 3600 m/s = 2.22 m/s

We need to solve for the time taken to reach the final velocity, given that the distance traveled is 20 m.

20 = 0 + (1/2) * acceleration * time^2

Using the formula of motion, we can solve for time:

time = sqrt((2 * distance) / acceleration) = sqrt((2 * 20) / (2.22 / 5)) = 12 s

Therefore, it will take the jogger 12 seconds to reach the end of a 20 m long driveway.

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Answer:

x = 323.65

Step-by-step explanation:

A number can be represented through x.

x + 35% = 324

35% means 0.35

x + 0.35 = 324

   - 0.35    - 0.35

x = 323.65

hope this helps!

The number increased by 35% and the value is 323.65.

We have to determine the result

A number can be represented through x.

A complete search of the internet has found these results. The number is increased. is the most popular phrase on the web.

x + 35% = 324

35% means 0.35

We have to determine the value of x

x + 0.35 = 324

  - 0.35    - 0.35

x = 323.65

Therefore, The number is increased by 35% and the value is 323.65.

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Step-by-step explanation:

The said tower is not shown.

But to find the percentage of the surface area that is green, since this excludes the surface area underneath the tower, we find the surface area of the total area subtract the surface area underneath the tower, calculate the surface area that is green, divide this last result by the surface are of the whole area that doesn't include underneath the tower, and multiply by 100. This is the percentage we are looking for.

Answer:

Jan has 28 dimes.

Step-by-step explanation:

It would take 24 quarters or 60 dimes or 120 nickels to make $6.

So, I simply divided 24 by 3, which is 8 (but I did 7).

7 quarters is 1.75, and 28 dimes make 2.80, and 29 nickels make 1.45

1.75 + 2.80 + 1.45 = $6

Answer:

If a researcher cannot gain access to a target population, snowball sampling procedures can assist in locating subjects. In regard to sampling procedures, if a researcher wants to be able to generalize results to the total population of interest, then a purposeful sampling technique is the best approach.

Answer:

Non-probability sampling

Step-by-step explanation:

Non-probability sampling is a method of selecting units from a population using a subjective  method.

Answer:

See below.

Step-by-step explanation:

A(x) = x^2 + 5x

A(x) = x^2 + 5x = 14

x^2 + 5x - 14 = 0

(x + 7)(x - 2) = 0

x + 7 = 0  or  x - 2 = 7

x = -7 or x = 2

x is the height of a rectangle.

The only viable solution is x = 2 because the height of a rectangle cannot be a negative number such as -7.

The only viable solution for the height is x= 2, because height cannot be a negative value.

A rectangle is a quadrilateral with four right angles.

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is \(ax^{2} +bx+c=0\)

Given,

Area of the rectangle = \(x^{2} +5x\) = 14

Then,

\(x^{2} +5x-14=0\\(x+7)(x-2)=0\)

Therefore x = -7 and 2

But the Height cannot be negative therefore x = 2

Hence, only viable solution for the height is x= 2, because height cannot be a negative value.

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a. The differential equation that can be used to model the growth of the colony of bacteria is dN/dt = kN, where N is the number of bacteria and k is a constant of proportionality.

b. If the number of bacteria in the colony increases by 20% in the first 5 hours, we can use the equation N = N₁e^(kt) to solve for k. We know that N/N₁ = 1.2 and t = 5 hours, so we can substitute those values into the equation and simplify to find that k = ln(1.2)/5. Therefore, the exact value of the constant k is approximately 0.0441.
For this bacterial growth problem:
a. The given information states that the growth rate is proportional to the number of bacteria present. Thus, we can write a differential equation as dN/dt = kN, where N represents the number of bacteria, t is time, and k is the constant of proportionality.
b. In 5 hours, the number of bacteria increases by 20%. This means N(t=5) = 1.2N₁. To find the relationship between N and N₁, we'll solve the differential equation: dN/dt = kN. Integrating, we get N = N₁e^(kt). At t=5, we have 1.2N₁ = N₁e^(5k). Dividing by N₁ and solving for k, we find k = ln(1.2)/5. Therefore, N = N₁e^(kt) with k as an exact value, ln(1.2)/5.

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Answer:

Step-by-step explanation:

You had the first part of the first question correct. The answer is 100:64

The sides of the squares

Area of e = 69% more than area of area of f

e^2: f^2 = ( 1 + 69/100 ) / 1

e^2 : f^2 = (1.69)/1            Take the square root of both sides

e:f  = 1.3:1

Answer:

D.Triangles are not similar

Answer:

The best option would be c

Step-by-step explanation:

C

because the ration of all the three respective sides are similar as follows:

3/2 = 1.5

4.5/3 = 1.5

6/4 = 1.5

so basically the second triangle is just 1.5 times bigger than the first triangle and since ratio of all the three sides are similar SSS should be the similarity.

A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;

c + f = 13

200c + 650f = 4400

where; c is the number of cans of soup and f is the number of frozen dinners.

Let us denote c as the number of cans of soup and f is the number of frozen dinners.

The total number of items is 13 and so, we can write;

c + f = 13

The total amount of sodium is 4400 mg.  Each can of soup has 200 mg, and each frozen dinner has 650 mg.

200c + 650f = 4400

We can use substitution or elimination to solve the equation for c and f but we are not asked to find it. Thus, we will conclude that;

A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;

c + f = 13

200c + 650f = 4400

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Answer:

Step-by-step explanation:

11970658976

a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled Sprinkles going to a value of 12, the second bar labeled Nuts going to a value of 17, the third bar labeled Hot Fudge going to a value of 44, and the fourth bar labeled Chocolate Chips going to a value of 27 correctly displays the data.

To calculate the probability of missing 5 or more free throws in a randomly selected game, we can use the binomial distribution formula. The result is the probability of the player missing 5 or more free throws in a randomly selected game.

P(X >= 5) = 1 - P(X < 5)

where X is the number of free throws missed out of 12 and P(X < 5) is the probability of missing less than 5 free throws.

To find P(X < 5), we can use Excel or a binomial probability table. Using Excel, we can use the formula:

=BINOM.DIST(4,12,0.25,TRUE)

where 4 is the number of free throws missed, 12 is the total number of free throws, 0.25 is the probability of missing a free throw, and TRUE specifies that we want the cumulative probability up to and including X = 4.

This gives us P(X < 5) = 0.675, so

P(X >= 5) = 1 - 0.675 = 0.325

Therefore, the probability of missing 5 or more free throws in a randomly selected game is 0.325 or approximately 32.5%. It is important to note that this probability does not necessarily indicate that the player was nervous or failed, as it could simply be due to chance or other factors.

To calculate the probability of the basketball player missing 5 or more free throws in a randomly selected game, we can use the binomial probability formula or Excel's built-in function BINOM.DIST.

Here's a step-by-step explanation:

1. Identify the variables:
  - n (number of free throws): 12
  - p (probability of missing a free throw): 0.25
  - x (number of missed free throws): 5 or more

2. Calculate the probability of missing exactly 5, 6, 7, ... up to 12 free throws using the binomial probability formula or Excel's BINOM.DIST function:

  In Excel, for each value of x from 5 to 12, use the following formula:
  =BINOM.DIST(x, n, p, FALSE)

  For example, for x=5:
  =BINOM.DIST(5, 12, 0.25, FALSE)

3. Sum the probabilities for missing 5 to 12 free throws to find the probability of missing 5 or more:

  In Excel, sum the probabilities obtained in step 2:
  =SUM([Probability_x=5], [Probability_x=6], ... ,[Probability_x=12])

4. The result is the probability of the player missing 5 or more free throws in a randomly selected game.

By following these steps, you can calculate the probability and determine if the fans' belief that the player failed due to nervousness is justified or if it is within the expected range of missed free throws.

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Answer:

x ≈ 25.1

Step-by-step explanation:

Using the sine ratio in the right triangle

sin26° = \(\frac{opposite}{hypotenuse}\) = \(\frac{11}{x}\) ( multiply both sides by x )

x × sin26° = 11 ( divide both sides by sin26° )

x = \(\frac{11}{sin26}\) ≈ 25.1 ( to 1 dec. place )

"Correct" Answer:

53

Step-by-step explanation:

It's automadically 90 degrees because it's an acute angle, so you add 11 + 26 which gives you 37. Subtract 90 from 37 and it gives you 53, the variable.

26 + 11 = 37

90 - 37 = 53

Answer:

w = -18

Step-by-step explanation:

0 = 6 + 1/3w

-6 = 1/3w

-18 = w

Answer:

7 + 3 sqrt 2

7 - 3 sqrt 2

Step-by-step explanation:

Answer:

2/5 =w

Step-by-step explanation:

4/w = 10

Multiply each side by w

4/w *w = 10*w

4 = 10w

Divide by 10

4/10 = 10w/10

2/5 =w

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(w=\frac{2}{5}\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Calculating the Answer...}}\\\\\frac{4}{w}=10\\-----------\\\rightarrow (\frac{4}{w})w =10*w\\\\\rightarrow 4 = 10w\\\\\rightarrow 10w=4\\\\\rightarrow\frac{10w=4}{10}\\\\\rightarrow w=\frac{4}{10}\\\\-----------------\\\frac{4}{10}\text{ can be simplified.} \\\\\rightarrow\frac{4}{10}=\frac{4/2}{10/2}=\frac{2}{5}\\-----------------\\\\\rightarrow\boxed{w=\frac{2}{5}}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x = squareRoot(15^2 + 14^2)(Pythagoras theorem)

x = 20.5 cm

Step-by-step explanation:

The answer is 1. The ΣX for a sample of n=12 scores with M=8 is 96, 2. The mean for combined samples of n=15 (mean=10) and n=10 (mean=8) is 9.33, 3a. The original mean before adding 6 points is 8, 3b. The original mean before multiplying scores by 4 is 8, 4. The new sample means after removing X=18 is 22.5, and 5. The score added to a population with μ=24 to achieve μ=34 is 34.

1. For any sample, we can find the sum of the scores (ΣX) by multiplying the mean by the number of scores. So in this case:ΣX = M * nΣX = 8 * 12ΣX = 96Therefore, the ΣX value for this sample is 96.

2. To find the mean of the combined samples, we can use the formula: Mean of combined samples = (n1 * mean1 + n2 * mean2) / (n1 + n2) = Mean of combined samples = (15 * 10 + 10 * 8) / (15 + 10) = Mean of combined samples = 9.33. Therefore, the mean for the combined samples is 9.33.

3. a: We can use the formula for shifting the mean to find the original mean: M1 = M2 - kM1 = 14 - 6M1 = 8. Therefore, the value for the mean before 3 points were added to each score is 8. b. The researcher then realizes that she instead needs to multiply each score by 4. Using the original scores, she multiplies each by 4 and finds the mean to be M=32. We can again use the formula for shifting the mean to find the original mean: M1 = M2 / kM1 = 32 / 4M1 = 8. Therefore, the value of the mean prior to multiplying each score by 4 points is 8.

4. To find the new sample mean, we need to remove the score and adjust the mean accordingly. We can use the formula: New mean = (ΣX - X) / (n - 1)New mean = (ΣX - 18) / 10. Given that the original mean is 22, we can solve for ΣX:22 = ΣX / 1122 * 11 = ΣX243 = ΣX. Now we can plug in to find the new mean: New mean = (243 - 18) / 10 = New mean = 22.5. Therefore, the value of the new sample mean is 22.5.

5. We can use the formula for adding a score to a population to find the value of the added score: N μ = ΣX / NN * μ = ΣX / N + 1. Given that N = 10 and μ = 24 for the original population, we can solve for ΣX:10 * 24 = ΣX240 = ΣX. Now we can use the new mean and the formula to solve for the added score:11 * 34 = 240 + X / 11274 = 240 + XX = 34. Therefore, the value of the score that was added is 34.

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The answer provides solutions to the various statistical maths problems that involve calculations of mean and sum of scores. These problems explore the understanding of the concept of mean, summation and basic operations.

To answer these questions, you'll need to understand basic concepts of statistics, specifically the calculation of means, and summation of scores (ΣX). So, let's break them down one by one:

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Answer:

24 in

Step-by-step explanation:

formula

\( \sqrt{(a) {}^{2} - (c) {}^{2} } = b\)

square root (74)² - (70)² = b

square root (5476 - 4900) = b

square root 576 = 24

Answer:

Pretty much everything, my dude

Step-by-step explanation:

May I have brainliest please? :)

The required position of the -2.25 lies above the -2.25 on the vertical number line.

Given that,
If -2.5 < -2.25, how are the positions of the two numbers related on the vertical number line is to be determined.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
Since -2.5 is 0.25 lower than -2.25, and also the -2.25 is greater than -2.5.
So on the vertical number line, -2.25 lies 0.25 units above the number -2.5.

Thus, the required position of the -2.25 lies above the -2.25 on the vertical number line.

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Answer:

On the vertical number line, -2.5 is located below -2.25.

Step-by-step explanation:

edmentum answer. have a good day

Density curves can occur in a variety of shapes, depending on the distribution of the underlying data.

The normal distribution is the most commonly encountered density curve, other shapes are also possible, including skewed, bimodal, uniform, and multimodal distributions.

A skewed density curve can be either positively skewed, where the tail is longer on the right-hand side, or negatively skewed, where the tail is longer on the left-hand side.

A density curve for income data might be positively skewed, since there are more people with lower incomes than with higher incomes, and the higher incomes have a longer tail to the right.

Another type of density curve is the bimodal distribution, which has two peaks or modes.

This can occur when there are two distinct groups or populations within the data, such as in the case of height data for men and women.

Density curves can also take on other shapes, such as a uniform distribution where all values are equally likely, or a multimodal distribution where there are more than two modes.

Density curves can occur in a variety of shapes depending on the underlying distribution of the data.

The normal distribution is the most commonly encountered density curve, other shapes are also possible, including skewed, bimodal, uniform, and multimodal distributions.

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Answer:

40

Step-by-step explanation:

Given that:

Number of options available for transmission = 2 (Standard or Automatic)

Number of options for doors = 2 (2 doors or 4 doors)

Number of exterior colors available = 10

To find:

Total number of outcomes = ?

Solution:

First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.

1. Standard - 2 doors

2. Standard - 4 doors

3. Automatic - 2 doors

4. Automatic - 4 doors

Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2\(\times 2\))

Now, these 4 will be mapped with 10 different exterior colors.

Therefore total number of outcomes possible :

Number of transmission modes \(\times\) Number of doors options  \(\times\) Number of exterior colors

2 \(\times\) 2 \(\times\) 10 = 40

The number of possible outcomes of a new car will be 40. Then the correct option is B.

A sample is a collection of well-defined elements. A sample is represented by a capital letter symbol and the number of elements in the finite sample is shown as a curly bracket {..}.

A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors.

Then the number of possible outcomes will be

\(\rm Possible \ outcomes = 2*2*10\\\\Possible \ outcomes = 40\)

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Answer:

when a number has more than two factors it is called a composite number

Step-by-step explanation:

here u go first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71 etc..

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The number 63 is not a prime number because it is possible to express it as a product of prime factors. In other words, 63 can be divided by 1, by itself and at least by 3 and 7. So, 63 is a 'composite number'.

List of prime numbers between 29 and 63:

29, 31, 37, 41, 43, 47, 53, 59, 61.

We have the next system of equations

y+2=4x

y=2

we substitute the value of y in the first equation

2+2=4x

we simplify

4=4x

then we divide between 4 on both sides

4/4=4x/4

1=x

ANSWER

x=1

y=2

Answer:

12.5

Step-by-step explanation:

2 1/2 or 2.5 (in decimal form) times 5 equals 12.5

By multiplication of numbers, The solution of the expression 2 1/2 × 5 in form of a fraction is,

⇒ 2 1/2 × 5 = 25 / 2

The multiplication of numbers means to add or sum a number to itself a particular number of times. And, The Multiplication can be viewed as a process of repeated addition.

We have to given that;

The expression of the multiplication is,

⇒ 2 1/2 × 5

Now, We can multiply the numbers as;

Here, The expression of the multiplication is,

⇒ 2 1/2 × 5

Change into improper form;

⇒ 5/2 × 5

⇒ 5 x 5 / 2

After multiply the numbers as;

⇒ 25 / 2

Therefore, By multiplication of numbers, The solution of the expression 2 1/2 × 5 in form of a fraction is written as,

⇒ 2 1/2 × 5 = 25 / 2

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Answer: She bought 28 daises and 10 Tulips.

Step-by-step explanation:

Let x represent the number of daises bought.

Let y represent the number of tulips bought.

Your friend want to have 38 of her favorite flowers. This means that

x + y = 38

Her favorite flowers are daisies at 1.50 each and tulips at 2.50 each if the total bill was 67, it means that

1.5x + 2.5y = 67 - - - - - - - - - - - - 1

Substituting x = 38 - y into equation 1, it becomes

1.5(38 - y) + 2.5y = 67

57 - 1.5y + 2.5y = 67

- 1.5y + 2.5y = 67 - 57

y = 10

x = 38 - y = 38 - 10

x = 28

Answer: She bought 28 daises and 10 Tulips.

Step-by-step explanation:

Let x represent the number of daises bought.

Let y represent the number of tulips bought.

Your friend want to have 38 of her favorite flowers. This means that

x + y = 38

Her favorite flowers are daisies at 1.50 each and tulips at 2.50 each if the total bill was 67, it means that

1.5x + 2.5y = 67 - - - - - - - - - - - - 1

Substituting x = 38 - y into equation 1, it becomes

1.5(38 - y) + 2.5y = 67

57 - 1.5y + 2.5y = 67

- 1.5y + 2.5y = 67 - 57

y = 10

x = 38 - y = 38 - 10

x = 28