An auto race consists of 15 laps. Jon Kimm completes the first 3 laps at an average speed of 195 mph, and the remaining laps at an average speed of 205 miles per hour. Let d represent the length of one lap. Choose the time in terms of d that it takes the driver to complete the race.

Answer:

Step-by-step explanation:

Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week \(\sf = 19 \times 40 = \$760\)

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, \(\sf \dfrac{8x}{100}=760\)

Or, \(\sf 8x= 76000\)

Or, \(\sf x= \dfrac{76000}{8}=9500\)

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

Step-by-step explanation:

numbers divisible by 2 end with an even number (2,4,6,8,0)

numbers divisible by 5 end with either 5 or 0

Answer:

A,D, and F

Step-by-step explanation:

Any number that is even is divisible by 2.

A D and F are even numbers. If a number ends in 2,4,6,8, or 0 then it is an even number, so you can just look at the last number and determine weather it is divisible by 2.

Answer:

If you have ownership of something it means that you are the owner; it belongs to you. ... The term does not only refer to people, but also to other entities. For example, the government is the owner of a state company. Also, a holding company owns its subsidiary businesses.

Answer:

Amadi: 20 years old

Chima : 4 years old

The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

Read more about sequence at

brainly.com/question/6561461

#SPJ1

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

The probability density function will be expressed as f_M(x) = n * x^(n-1) and cumulative density function is f_Z(z) = n * (1-z)^(n-1).

To find the probability density function of M, we need to find the probability that M takes on a particular value x, which is equal to the probability that all of the random variables U1, ..., Un are less than or equal to x. Since the Ui are independent, this probability is equal to the product of the individual probabilities that each Ui is less than or equal to x. Since each Ui has a uniform distribution over [0, 1], the probability that Ui is less than or equal to x is simply x. Therefore, the probability that M takes on a particular value x is equal to x^n.

This means that the probability density function of M is given by:

f_M(x) = n * x^(n-1)

for x in the range [0, 1].

For the second part of the question, we want to find the cumulative distribution function (c.d.f.) and probability density function (p.d.f.) of Z = min(U1, ..., Un). We can find the c.d.f. of Z by finding the probability that Z is less than or equal to a particular value z. This is equal to the probability that all of the random variables U1, ..., Un are greater than or equal to z. Since the Ui are independent, this probability is equal to the product of the individual probabilities that each Ui is greater than or equal to z. Since each Ui has a uniform distribution over [0, 1], the probability that Ui is greater than or equal to z is simply 1-z. Therefore, the probability that Z is less than or equal to z is equal to (1-z)^n.

This means that the cumulative distribution function of Z is given by:

F_Z(z) = (1-z)^n

for z in the range [0, 1].

To find the probability density function of Z, we can differentiate the cumulative distribution function with respect to z. This gives us:

f_Z(z) = n * (1-z)^(n-1)

for z in the range [0, 1].

Learn more about probability density at:

brainly.com/question/28021875

#SPJ4

Answer: 1.05 dollars

Step-by-step explanation:

Since an 8 minute phone call is 1.20 dollars, we divide 1.2 by 8 to get the price per minute of .15. This means we now multiply by seven to get 1.05 dollars.

Answer:

C. y = 1/8x

D. y = x - 133

Step-by-step explanation:

In order to find the answer, you have to think about the answer choices

A. is saying that if you multiply 152 by 8, you will get 19 which is definitely not true

B. is saying that y is equal to 152/133 which is not true since 152/133= 8/7 which is some wacky decimal

C. would make sense because if you divide 152 and 8, you will get 19

Which makes the equation true because if you multiply 1/8 by 152/1, you get 152/8 which simplifies to 19 which satisfies the equation

D. This would also make sense since 152-133=19

So at the end, we can come to a conclusion that:

C. and D. are the equations that satisfy the relation

hii!

Is there any more info? The question is a bit unclear!! Thank you! Repost with full questions thanks.

Brainliest??

Answer:

0.15m

Step-by-step explanation:

1m = 100cm

15/100

= 0.15m

The loaded die appears to behave differently from a fair die.Based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

To test the claim that the outcomes of the loaded die are not equally likely, we can use the chi-square goodness-of-fit test. The null hypothesis (H₀) assumes that the outcomes are equally likely, while the alternative hypothesis (H₁) assumes that they are not equally likely.

Step 1: Set up hypotheses

H₀: The outcomes of the die are equally likely.

H₁: The outcomes of the die are not equally likely.

Step 2: Select the significance level

The significance level is given as 0.025, which means we have a two-tailed test and an alpha level of 0.025 for each tail.

Step 3: Compute the test statistic

We calculate the chi-square test statistic using the observed frequencies and the expected frequencies assuming equal probabilities for each outcome.

Expected frequencies (fair die):

1: 200/6 = 33.33

2: 200/6 = 33.33

3: 200/6 = 33.33

4: 200/6 = 33.33

5: 200/6 = 33.33

6: 200/6 = 33.33

Applying the chi-square formula, we get the test statistic:

χ² = ∑((observed - expected)² / expected)

Calculating this value, we get χ² ≈ 13.97.

Step 4: Determine the critical value

Since the significance level is 0.025 and the test is two-tailed, we divide the significance level by 2 to find the critical value associated with each tail. With 5 degrees of freedom (6 categories - 1), the critical value is approximately 11.07.

Step 5: Make a decision

The test statistic (13.97) is greater than the critical value (11.07), which leads us to reject the null hypothesis. Thus, we have evidence to suggest that the outcomes of the loaded die are not equally likely.

The loaded die appears to behave differently from a fair die.

In conclusion, based on the chi-square test, the loaded die does not exhibit equal probabilities for each outcome.

For more such questions die,click on

https://brainly.com/question/31368101

#SPJ8

Answer: 20

Step-by-step explanation:

Answer:

Y=2x-4

Step-by-step explanation:

\(\sqrt{24}+\sqrt{27} ~~ \begin{cases} 24=2\cdot 2\cdot 2\cdot 3\\ \qquad 2^2\cdot 2\cdot 3\\ 27=3\cdot 3\cdot 3\\ \qquad 3^2\cdot 3 \end{cases}\implies \sqrt{2^2\cdot 2\cdot 3}+\sqrt{3^2\cdot 3} \\\\\\ 2\sqrt{2\cdot 3}+3\sqrt{3}\implies 2\sqrt{2}\cdot \sqrt{3}+3\sqrt{3}\implies \stackrel{\textit{common factoring}}{\underset{ \textit{\LARGE k} }{(2\sqrt{2}+3)} ~~ \sqrt{3}}\)

The average rate of change in the elevation of the cyclist from 5 minutes to 10 minutes is: 400 ft/min

The formula for the average rate of change is:

Average rate of change = (y₂ - y₁)/(x₂ - x₁)

Now, we want to find the average rate of change  in the elevation of the cyclist from 5 minutes to 10 minutes.

Elevation at 10 minutes = 1140 ft

Elevation at 5 minutes = 940 ft

Thus:

Average rate of change = (1140 - 940)/(10 - 5)

Average rate of change = 200/5

Average rate of change = 400 ft/min

Read more about Average rate of change at: https://brainly.com/question/8728504

#SPJ1

The maximum amount you can finance is $896.

We are given that;

The monthly gross income = $3,200

Now,

28% of your gross monthly income on your mortgage, including taxes and insurance

The percentage = 28%

3200* 28/100

=32*28

=896

Therefore, by percentage the answer will be $896.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ1

Answer:

This area is represented by the function m (x), where x is the length of the radius of the circle in feet. The homeowner estimates that he will pay $1.50 per square foot of mulch. This cost is represented by the function g (m), where m is the area requiring mulch.

Step-by-step explanation:

To find the height of Sophia's fig tree, we subtracted 38 from 74 and got the result that the height of her fig tree is 36 inches.

In this problem, we are given information about the height of Sophia's lemon tree and the relationship between the heights of her lemon and fig trees. We are asked to find the height of the fig tree.

First, we use "f" to represent the height of the fig tree. We are told that the fig tree is 38 inches shorter than the lemon tree, which we know is 74 inches tall. To find the height of the fig tree, we can subtract 38 from 74:

We know from the problem that Sophia's fig tree is 38 inches shorter than her lemon tree, which is 74 inches tall. So we can write the following equation:

f = 74 - 38

Simplifying this equation, we get:

f = 36

Therefore, the height of Sophia's fig tree is 36 inches.

To learn more about height please click on below link        

https://brainly.com/question/10726356

#SPJ1

best answer of this equation is 10.772

Answer: 10.772

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

exact form:

x= 10 4/3

--------- (its a fraction)

2

decimal form: 10.77217345....

after that round to the nearest thousandth.

Answer:

A. $,143,699,010

Step-by-step explanation:

Use a calculator my friend.

A. 1,430,699,010

put it in a calculator and then you should have the right answer

Answer:

105

Step-by-step explanation:

So, we know the formula is:

D=rt or D=r*t

We only need 2 of the 3 sets of values given in the table, one to find our answer, and the other to double check our answer.

Here are the two sets we can look at:

t=2, d=210

t=3, d=315

Lets plug these in and solve:

210=r*2

Divide both sides by 2 to get r alone:

105=r

Now lets check if this is true by pluggin in 105 for r in the second set, and seeing if it works:

D=r*t

315=105*3

=

315=315

So 105 is our answer.

Hope this helps!

Based on the information given, it can be deduced that the value of the 15th term is B. 80.

In an arithmetic sequence., uₙ = a + (n-1)d

Given in the question,

\(a_{5}\) = 20 , \(a_{9}\) = 44  

Using above formula

for \(a_{5}\) => a + 4d = 20 ..... (i)

for \(a_{9}\) => a + 8d = 44 ...... (ii)

Subtract (ii)  from (i)

\(a + 8d = 44 \\- a - 4d = -20\\ -------\\ 0 + 4d = 24\)

=> 4d = 24

=> d = 24/4

=> d = 6

Therefore, a will be:

a + 4d = 20 .......(i)

a + 4(6) = 20

a + 24 = 20

a = 20 - 24

a = -4

Therefore, the 15th term will be:

\(a_{15}\) = a + (15 - 1)d

\(a_{15}\) = a + 14d

\(a_{15}\) = -4 + 14 x 6

\(a_{15}\) = -4 + 14 x 6

\(a_{15}\) = 14 x 6 - 4

\(a_{15}\) = 80

The 15th term is 80.

Learn more about arithmetic progression here:

https://brainly.com/question/28557516

Answer:

World population = 7,468,935,407

Step-by-step explanation:

Given that:

Percent of people who have internet connection = 41%

Number of people who have internet connection = 3,062,263,517

Let,

x be the world population.

41% of x = 3062263517

\(\frac{41}{100}x=3062263517\\\)

0.41x = 3062263517

Dividing both sides by 0.41

\(\frac{0.41x}{0.41}=\frac{3062263517}{0.41}\\x=7468935407\)

Hence,

World population = 7,468,935,407

Answer:

the answer to this problem I believe is 6xy

Answer:

8x^3*y^3 if you meant ^3 otherwise it is 6xy if you meant *3

Step-by-step explanation:

If you could give brainliest it would be much appreciated

The measure of PR if PR has a point Q between points P and R is 32

Given the following functions:

PQ = x + 1

PR = 3x -13.

If PR has a point Q between points P and R, then;

PQ + QR = PR

PQ + PQ = PR

2PQ = PR

2(x + 1) = 3x - 13

2x + 2 = 3x - 13

2x - 3x = -13 - 2

x = 15

We can get the measure of PR

Recall that PR = 2PQ

PR = 2(x+1)

PR = 2(15+1)

PR = 32

Hence the measure of PR if PR has a point Q between points P and R is 32

Read more: https://brainly.com/question/17247176

Answer:

1 out of 6

Step-by-step explanation:

Each roll of the die is an independent event. This means that the second roll does not rely on the first roll. The probability of rolling a six is one out of six. The probability of rolling a two is also one out of six. Since the two events are independent of each other, you would take the average of the two probabilities, which since they are both one out of six, the probability of rolling a six and then a two is one out of six.

Answer:

me too (help)

Step-by-step explanation:

Answer:

5<3x2\(i think\)

Step-by-step explanation:

The required equation is 5 − 2n = 3 representing the statement  "5 less than twice a number is 3." which is the correct answer would be an option (C).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The required equation is 5 − 2n = 3

This equation represents the statement "5 less than twice a number is 3."

The expression "5 less than" is represented by the subtraction of 5 from the other term, and "twice a number" is represented by 2 times the number.

The other equations do not correctly represent the statement.

For example, equation A represents the statement "2 times a number minus 5 is equal to 3," which is not the same as the original statement.

Similarly, equation B represents the statement "3 minus 2 times a number is equal to 5," and equation D represents the statement "2 times a number minus 3 is equal to 5."

Both of these are different from the original statement as well.

Hence, the correct answer would be an option (C).

Learn more about the equations here:

brainly.com/question/10413253

#SPJ2

Answer:

Step-by-step explanation:

3x+8y=-5

-2x+2y=18

Ok, so you want to get either x or y to cancel out so lets multiply the first equation by 2 and the second equation by 3.

6x+16y=-10

-6x+6y=54

Now x can cancel out. The new equation is:

22y=44

y=2

Now you input 2 into one of the original problems.

-2x+2(2)=18

-2x+4=18

Now subtract 4 from both sides.

-2x=14

Divide

x=-7

Now check your answer.

-2(-7)+2(2)=18

14+4=18