some plz help because the teacher says that I have to do it by my self I need help

Answer:A.1.5

Step-by-step explanation:

First rebound. 0.4 * 150= 60

Second rebound. 60 * 0.4=24

Third rebound. 24 * 0.4 = 9.6

Fourth rebound. 9.6 * 0.4= 3.84

Five rebound. 3.84 * 0.4= 1.5

The bungee jumper rebound 1.5 feet on the fifth rebound.  

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that the a bungee jumper falls 150 feet.

And each rebound is 40 percentage of the distance of the previous fall.

So first rebound;

40% of 150 feet = 150 × 40 / 100

                          = 60 feet

Second rebound = 40% of 60 feet

                            = 60 × 40 / 100

                            = 24 feet

Third rebound = 40% of 24 feet

                        = 24 × 40 / 100

                        =  9.6 feet

Forth rebound = 40% of 9.6 feet

                        = 3.84 feet

Fifth rebound = 40% of 3.84 feet

                       = 1.5 feet

Therefore, 1.5 feet the bungee jumper rebound on the fifth rebound.

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Answer:

They have room for 166 more people.

Step-by-step explanation:

485 - 319 = 166

Answer:

166 people.

Step-by-step explanation:

If there is room for 485 and 319 people are coming, just subtract. 485-319=166.

Answer:

The initial amount

Step-by-step explanation:

Given

\(f(x)= 5000 * (1.08)^x\)

See comment for complete question

Required

What 5000 represents

The given formula represents an exponential function

\(f(x) = ab^x\)

Where

\(a \to\) initial value

So, by comparison:

\(a = 5000\)

In this context, 5000 represents the initial amount

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

The probability that more than 2 students will attend is 0.9179.

Part (a) List the values that X may take on.

X may take on the values 0, 1, 2, 3, ..., 13.

Part (b) Give the distribution of X.

The distribution of X can be represented as follows: X-0:0, 1:0.23, 2:0.23, 3:0.23, 4:0.23, 5:0.23, 6:0.23, 7:0.23, 8:0.23, 9:0.23, 10:0.23, 11:0.23, 12:0.23, 13:0.23

Part (c) How many of the 13 students do we expect to attend the festivities? (Round your answer to the nearest whole number.)

We can expect 3 students to attend the festivities.

Part (d) Find the probability that at most 3 students will attend. (Round your answer to four decimal places.)

The probability that at most 3 students will attend is 0.6923.

Part (e) Find the probability that more than 2 students will attend. (Round your answer to four decimal places.)

The probability that more than 2 students will attend is 0.9179.

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Answer: 20 people

Step-by-step explanation:

If each car has 2 benches and 2 people fit on each bench, you have to multiply 2 x 2 which equals 4. Then you have to multiply the number of how many people fit on each car by the number of cars. ( 4 x 5 = 20 ) Hence the answer is 20 people.

Answer:

20 people

Step-by-step explanation:

2 benches × 5 cars = 10 benches

10 benches with 2 people on each of them (10×2)

=20

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer: (x+6)(x-3)

Step-by-step explanation:

y=x^2+3x-18

(x+6)(x-3 )

7293.16

Step-by-step explanation

42.7 x 2= 85.4, 85.4 ft to cubic feet = 7293.16

Answer:

\(\displaystyle \frac{2(x + 2)}{x - 10}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

\(\displaystyle \frac{2x^2 + 20x + 32}{x^2 - 2x - 80}\)

Step 2: Simplify

Before we can answer this question, it is important to understand the difference between the rate of change and the initial value.

The rate of change is the slope of a function. It describes the increase in y in response to an increase in x. In this problem, the y-axis represents the number of lawns mowed, and the x represents the months. So, the rate of change would be the number of lawns mowed per month.

The initial value in this problem describes how many lawns were mowed initially. It does not depend on x, which is what differentiates it from the rate of change. If we were thinking about a random function, it would be the y-intercept.

We are told that Homer mowed 5 lawns in the first month. This means that the initial value would be 5 lawns. We are also told that he increased the number of lawns he mowed by 2 each month. This means that each month, Homer mowed two more lawns than he did in the previous month. The rate of change is 2 lawns per month.

If we were to put these together, only the second choice accurately interprets the rate of change and the initial value. Initial value: 5 lawns, Rate of change: 2 lawns per month

The growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The normal yearly growth of a plant is 60 inches.

Let's suppose the growth of the plant last year was x

The normal growth was ten inches more than twice the amount of last year.

From the above statement:

10 + 2x = 60

2x = 50

x = 25 inches

Thus, the growth of the plant last year was 25 inches if the normal growth was ten inches more than twice the amount of last year.

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Answer:

6.667

Step-by-step explanation:

I just did the calculations

There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5  number of wins. Causation cannot be established because their relationship was not in a controlled setting.

When if a relationship between two variables is said to be  negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.

Therefore, even though  the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.

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If we assume that the first card drawn is green and it is replaced before the second draw, then the probability of drawing two green cards in a row is 12/51, or approximately 0.235.

If we assume that the first card drawn is green and it is replaced before the second draw, then we can say that each draw is independent of the other, and the probability of drawing a green card on each draw is the same.

Let's assume that the deck of cards contains 52 cards, with 13 green cards. Since we know that the first card drawn is green, there are now 51 cards left in the deck, with 12 green cards.

The probability of drawing a green card on the second draw is 12/51, since there are 12 green cards left in the deck out of a total of 51 cards.

To find the probability of drawing two green cards in a row, we need to multiply the probability of drawing a green card on the first draw (which we assumed to be 1 since we know the first card is green) by the probability of drawing a green card on the second draw:

P(drawing two green cards) = 1 x 12/51

Simplifying this expression, we get:

P(drawing two green cards) = 12/51

Therefore, the probability of drawing two green cards is approximately 0.235.

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Answer:

We can't see the paint, and what's the question?

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

We need to find the probability the average salary will be between R3685 and R3783 for a sample of 38 employees.

We know that the mean salary of the population is R3578 and its standard deviation is R1980.

Thus, the z-score Z of the sample of N = 38 employees is given by:

Thus, the probability P that the average salary will be between R3685 and R3783 is given by:

Answer:

2,5

Step-by-step explanation:

Answer:

800 grams flour ÷ 5 grams flour/biscuit = 160 biscuits

160 biscuits × 3 grams butter/biscuit = 480 grams butter

160 biscuits × 2 grams sugar/biscuit = 320 grams sugar

Katie needs 320 grams sugar.

Kate needs 270g of sugar to make the maximum number of biscuits possible.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Now, Based on the ratio of flour, butter, and sugar of 5:3:2, we can determine that Kate needs;

⇒ 800g + 550g

= 1350g of the mixture.

Hence, For find out the amount of sugar needed, we need to determine the proportion of sugar in the mixture.

We can do this by adding up the ratio numbers;

(5+3+2) = 10.

Then we can divide each ratio number by the total (10) to get the proportion of each ingredient.

So the proportion of sugar in the mixture is 2/10. To find out how much sugar Kate needs, we can set up a proportion:

2/10 = x/1350

We can solve for x by cross-multiplying:

2 × 1350 = 10x

2700 = 10x
x = 270

Therefore, Kate needs 270g of sugar to make the maximum number of biscuits possible.

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Final speed after slowing down by 15 miles per hour and reducing the speed by one third is 25 miles per hour.

Let's break down the steps to determine the final speed:

Step 1: Convert the speed from miles per minute to miles per hour.

Since you're driving one and a half miles per minute, we need to convert it to miles per hour. There are 60 minutes in an hour, so we multiply 1.5 by 60 to get 90 miles per hour.

Step 2: Slow down by 15 miles per hour.

Subtract 15 from the initial speed of 90 miles per hour, resulting in 75 miles per hour.

Step 3: Reduce the speed by one third.

To find one third of 75 miles per hour, we divide it by 3, which gives us 25 miles per hour.

Therefore, the final speed after slowing down by 15 miles per hour and reducing the speed by one third is 25 miles per hour.

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Since

Using the z-distribution, we have that:

a)

b) Since the p-value of the test is of 0.0668 > 0.05, there is not enough evidence to conclude that the manufacturer's advertising campaign is legitimate.

Item a:

At the null hypothesis, it is tested if the mean is still of 50 miles per gallon, that is:

\(H_0: \mu = 50\)

At the alternative hypothesis, it is tested if the mean has increased, that is:

\(H_1: \mu > 50\)

Item b:

We have the standard deviation for the population, hence, the z-distribution is used to solve this question.

The test statistic is given by:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

The parameters are:

Hence, the values of the parameters are:

\(\overline{x} = 51.5, \mu = 50, \sigma = 6, n = 36\)

Hence, the value of the test statistic is:

\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{51.5 - 50}{\frac{6}{\sqrt{36}}}\)

\(z = 1.5\)

Using a z-distribution calculator, with a right-tailed test, as we are testing if the mean is greater than a value, with z = 1.5, the p-value is of 0.0668.

Since the p-value of the test is of 0.0668 > 0.05, there is not enough evidence to conclude that the manufacturer's advertising campaign is legitimate.

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Answer:

Use a mixed fractional calculator. No one is gonna help u with this many questions...

https://www.calculatorsoup.com/calculators/math/mixednumbers.php

GL

Step-by-step explanation:

Answer:

The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.

The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.

If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).

Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.

Solving for x, we get x=2/3.

Therefore, the cocoa types A and B are mixed in the proportion 2:1.

Step-by-step explanation:-

Let p + q = 2( p - q) be eqn.1 and pq = 675 be eqn.2

Now , lets expand eqn.1

\(=> p + q = 2p - 2q\)

\(=> 2p - p = 2q + q\)

\(=> p = 3q\)

Lets put the value of p in eqn.2

\(=> 3q \times q = 675\)

\(=> 3q^{2} = 675\)

\(=> q^{2} = \frac{675}{3} = 225\)

\(=> q = \sqrt{225} = +15 \: or \: -15\)

Lets find out the value of p.

When q = +15 , \(p = 3 \times 15 = 45\)

When q = -15 , \(p = 3 \times - 15 = -45\)

Hence ,

p = ±45

q = ±15

Answer:

q=15

p=45

Step-by-step explanation:

p+q=2(p-q)

p+q=2p-2q

simplify: add 2q to each side and subtract one p from each side of the equation.

p=3q

given that pq=675, substitute:

(3q)q=675

3q^2=675

q^2=225

q=15

then p=3q or p=3(15)=45

p=45