Ms. Vasquez's daughter lives 1,650 miles away. Ms. Vasquez won a gift card for 100 gallons of gas. If her car can travel 35 miles on each gallon, can she travel roundtrip to see her daughter on free gas? Explain how you know.

Answers

Answer 1

Answer:

yes, since it takes 48 gallons of gas to go one direction to go back it is 96

Step-by-step explanation:

Answer 2

Answer:

Yes

Step-by-step explanation:

If her daughter lives 1,650 miles away, and her gift card is for q00 miles of gas, and her car can travel 35 miles on each gallon, it would take about 47 gallons to make the 1,650 mile trip to her daughter. Leaving 53 gallons on her car.

To make the 1,650 mile trip back to her own home, it would take another 47 gallons. Since she still has 53 gallons left from her trip there, she will be able to make the trip back with still 6 gallons in her tank.


Related Questions

find the sale price of the item. round to two decimal places if necessary original price $225.60 markdown 80 %

Answers

Answer:

gan if you could anssbdhe

Step-by-step explanation:

n 1990, the mean height of women 20 years of age or older was 63.7 inches based on data obtained from theCDC. Suppose that a random sample of 45 women who are 20 years of age or older in 2015 results in a meanheight of 63.9 inches with a standard deviation of 0.5 inch. Does your sample provide sufficient evidencethat women today are taller than in 1990

Answers

Answer:

The sample does not provide sufficient evidence that women today are taller than women in 1990.

The difference in mean height is not significant to arrive at such a conclusion.

Step-by-step explanation:

Mean height of women 20 year of age or older in 1990 = 63.7 inches

Mean height of women 20 years of age or older in 2015 = 63.9 inches

The standard deviation of the mean height in 2015 = 0.5 inch

The difference between the two years' mean height is 0.2 (63.9 - 63.7) inch.

This difference is less than the standard deviation of the mean height in 2015.

Therefore, the difference does not provide sufficient evidence that women today are taller than women in 1990.

Name the figure below in two different ways.

Answers

Answer:

LDM

MDL

Step-by-step explanation:

The names of a figure are gotten from the points on the figure. The names of the figure are LDM  and MDL.

There are three points on the given figure, and these points are: point L, point D and point M, where Point D is between L and M.

This means that, when naming the figure, alphabet D must be at the middle while alphabets M and L can be at either sides of D.

So, the possible names of the figure are: LDM  and MDL.

Read more about naming figures at:

https://brainly.com/question/1514423

A sample size 25 is picked up at random from a population which is normally
distributed with a mean of 100 and variance of 36. Calculate-
(a) P-{ X<99}
(b) P{98X

Answers

Answer:

a) P(X < 99) = 0.2033.

b) P(98 < X < 100) = 0.4525

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 100 and variance of 36.

This means that [tex]\mu = 100, \sigma = \sqrt{36} = 6[/tex]

Sample of 25:

This means that [tex]n = 25, s = \frac{6}{\sqrt{25}} = 1.2[/tex]

(a) P(X<99)

This is the pvalue of Z when X = 99. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{99 - 100}{1.2}[/tex]

[tex]Z = -0.83[/tex]

[tex]Z = -0.83[/tex] has a pvalue of 0.2033. So

P(X < 99) = 0.2033.

b) P(98 < X < 100)

This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So

X = 100

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{100 - 100}{1.2}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

X = 98

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{98 - 100}{1.2}[/tex]

[tex]Z = -1.67[/tex]

[tex]Z = -1.67[/tex] has a pvalue of 0.0475

0.5 - 0.0475 = 0.4525

So

P(98 < X < 100) = 0.4525

x^2 =1 how many solutions are there

Answers

Answer:

Answer:

x=1 or x=−1

Step-by-step explanation:

I think just 2

Answer:

x=1, x=-1

Step-by-step explanation:

x^2=1

x=sqrt(1)=+-1

Thus, there are 2 solutions: 1 and -1

This had me confused i need big help!!!!

Answers

Answer:

[tex]3\frac{7}{8}[/tex]

Step-by-step explanation:

Equation: 4 1/7 + 2 1/8 + x= 10 1/7

Convert into improper fractions:

29/7 + 17/8= 71/7

Add fractions

351/56+x= 71/7

Subtract on both sides

X= 31/8 or 3 7/8

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

Is it multiple choice? If it is then it’s B and D

Step-by-step explanation:

Help 80 Points BRAINLIEST FOR CORRECT ANSWER!!!!

Answers

Answer:

3x+5-7

Step-by-step explanation:

Answer:

If im not mistaken it should be answer 3. Because you would have to divide amongst groups.

Can someone please tell me the answer

Answers

It's B because 2 equals 86 dgrees since its vertical angles

2. Solve the following problems involving simple interest. Recall
Simple Interest-INT=PV*r*t
An investor decides to offer a business owner a $45,000 loan at simple interest of 3.5%
per year. Find the total amount in dollars, the investor will receive when the loan is
repaid after 7 years.

Answers

Answer:

A = $56025

Step-by-step explanation:

Given that,

An investor decides to offer a business owner a $45,000 loan at simple interest of 3.5%  per year.

Principal, P = 45,000

Rate of interest, R = 3.5%

We need to find the total amount the investor will receive when the loan is  repaid after 7 years.

The formula for the simple is given by :

[tex]I=\dfrac{PRT}{100}\\\\=\dfrac{45000\times 3.5\times 7}{100}\\\\=\$ 11025[/tex]

We know that,

Amount = Principal + simple interest

So,

A = 45,000 + 11025

A = $56025

So, the required amount is equal to $56025.

Lawrence got a car loan from a bank, with the car as collateral. What kind of loan did he get?

Answers

Answer:

secured loan

Step-by-step explanation:

Answer: Here

Step-by-step explanation:

You Go

Which graph represents the function f(x)=|x−1|−3 ?

Answers

It’s the first 1 because it’s the absolute value

f(x)=x^2x+3;f(x)=-2x+12

Answers

Answer:

F

(

2

x

+

12

)

=

8

x

3

+

144

x

2

864

x

+

1731

Step-by-step explanation:

Find the distance between A(4, —2) and B(—1, 2).
Round to the nearest tenth.

Answers

The distance between A and B is 5.

Answer:

6.4 to nearest tenth.

Step-by-step explanation:

AB = √[(x2 - x1)^2 + (y2-y1)^2]

= √[(-1 - 4)^2 + (2 - (-2))^2]

= √(25 + 16)

= 6.403

PLS ANSWER QUICK, HELP

Answers

Answer:

1014 in

Step-by-step explanation:

(13 x 13) x 6 = 1014 in^3

Answer:

The answer should be A (676)

Step-by-step explanation:

Pls help its urgent
Question 1:
In my backyard there are chickens and cows (no other animals). Among them there is a total of 366 eyes and 558 legs. How many chickens do I have in my backyard?

Answers

The total animals = 139, and we can substitute this value into equation (3) to obtain:x = 2(139) - 279 => x = -1This doesn't make sense since we can't have negative chickens.

Let the number of chickens be x and the number of cows be y in the backyard. We can create two equations based on the given information:The total number of animals is x + y = total animals ...

(1)The total number of eyes and legs can also be expressed as 2x + 2y = 366 (since each animal has two eyes) and 2x + 4y = 558 (since each chicken has 2 legs and each cow has 4 legs).

Simplifying the equations, we get:x + y = total animals ... (1)x + 2y = 279 ... (2)From equation (1),

we can substitute y = total animals - x in equation (2) to obtain:x + 2(total animals - x) = 279 => 2total animals - x = 279 => x = 2total animals - 279 ... (3)We also know that x + y = total animals, so y = total animals - x.

Substituting equation (3) into this expression, we get:y = total animals - (2total animals - 279) => y = 279 - total animals ... (4)

To find the value of x, we need to know the value of total animals. We can obtain this value by adding equations (1) and (4):x + y + (279 - total animals) = total animals => x + y = 279/2 => x + y = 139.5

Since x and y are both whole numbers, they must add up to an even number. The only possible value is 70 + 69 = 139.  Therefore, there must be a mistake in the problem statement or calculations.

To learn more about : value

https://brainly.com/question/843074

#SPJ8

In a class of 23 students, 9 play an instrument and 7 play a sport. There are 3
students who play an instrument and also play a sport. What is the
probability that a student does not play an instrument given that they play a
sport?

Answers

Answer:

4/7

Step-by-step explanation:

The probability that a student does not play an instrument given that they play a sport is 4/23.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Total number of students = 23

From the Venn diagram,

Number of students who play sport but not an instrument = 4

The probability that a student does not play an instrument given that they play a sport.

= 4/23

Thus,

The probability is 4/23.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ2


Please help and stop with the links!

Answers

It C)
This is because the sum of the two smaller sides in a triangle has to be larger than the bigger sides. 10+12=22.
22 is smaller than 24 which is the third side this no triangle is formed

How many boys are there in an introductory Chinese course if 390 students are enrolled and there are seven boys to every three girls?

Answers

39 I think because seven plus 3 is 10 and divide with 390 it will be 39

Clarissa wants to create more shade in her yard to block the hot sun, so she buys a sapling of an oak tree and plants it in the yard. To make sure the tree is growing at a healthy rate, she makes the following table to track its height over a period of weeks. What is the average rate of change in the tree's height from week 3 to week 9? Enter your solution into the box below.

Answers

Answer:

The answer is 7.

Step-by-step explanation:

Determine what values to use from the table to find the average rate of change.  

The problem asks for the average rate of change (AROC) from week 3 to week 9. The points referring to these measurements would be (3, 41) and (9, 83), respectively.

Step 2

FInd the AROC from (3, 41) to (9, 83).

The formula for the slope of a line between two given points (which is the same as AROC from the first two the second point) is

AROC  = y2−y1x2−x1

In your points, x1 is 3, x2 is 9, y1 is 41, and y2 is 83. Plug these values into the above formula and simplify.

AROC =  83−419−3=426=7  

The AROC is 7.

Step 3

Enter your solution.

Enter the value 7 and move on to the next question.

The amount of paint needed to cover a wall is proportional to its area. The wall is rectangular and has an area of 4z^2+2z square meters. Factor this polynomial

Answers

Answer:

2z(2z+1)

Step-by-step explanation:

yup

solve for x in the equation

Answers

Answer:

third option

Step-by-step explanation:

subtract 125/4 from each side to get:

x² + 11x -1

use quadratic formula to get:

-11 ± √121 - 4(-1)/2

= -11 ± ([tex]\sqrt{125}[/tex]) / 2

* [tex]\sqrt{125}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]

= -11 ± (5[tex]\sqrt{5}[/tex]) / 2

Anyone can help me with questions

Answers

Answer:

3x+18+4x+15=180

7x+33=180

7x=147

x=21

A rectangle is 17 inches long and 7 inches wide find the area

Answers

17 x 7 = 119 inches squared

Answer:

119

Step-by-step explanation:

A=w 1=7x17=119

A machine that is programmed to package 1.20 pounds of cereal is being tested for its accuracy In a sample of 36 cereal boxes, the sample mean filling weight is calculated as 1.22 pounds. The population standard deviation is known to be 0.06 pound. Identify the relevant parameter of interest for these quantitative data. The parameter of interest is the proportion filling weight for all cereal packages. The parameter of interest is the average filling weight for all cereal packages.
A-1. Identify the relevant parameter of interest for these quantitative data.
A) The parameter of interest is the average filling weight of all cereal packages.
B) The parameter of interest is the proportion filling weight of all cereal packages.
A-2. Compute its point estimate as well as the margin of error with 95% confidence. (Round intermediate calculations to 4 decimal places.
B-1. Calculate the 95% confidence interval.
B-2. Can we conclude that the packaging machine is operating improperly?
A) Yes, since the confidence interval contains the target filling weight of 1.20.
B) Yes, since the confidence interval does not contain the target filling weight of 1.20.
C) No, since the confidence interval contains the target filling weight of 1.20.
D) No, since the confidence interval does not contain the target filling weight of 1.20.
C. How large a sample must we take if we want the margin of error to be at most 0.01 pound with 95% confidence?

Answers

Answer:

A) The parameter of interest is the average filling weight of all cereal packages. ;

Point estimate = 1.22

Margin of Error = 0.0196

Confidence interval = (1.2004, 1.2396)

C) No, since the confidence interval contains the target filling weight of 1.20.

Step-by-step explanation:

A) The parameter of interest is the average filling weight of all cereal packages.

The point estimate = sample mean = 1.22

The margin of error with 95% confidence :

Zcritical * σ/sqrt(n)

Zcritical at 95% confidence = 1.96

Margin of Error = 1.96 * 0.06/sqrt(36)

Margin of Error : 1.96 * 0.01

Margin of Error = 0.0196

Confidence interval :

xbar ± margin of error

1.22 ± 0.0196

Lower boundary = 1.22 - 0.0196 = 1.2004

Upper boundary = 1.22 + 0.0196 = 1.2396

(1.2004, 1.2396)

C) No, since the confidence interval contains the target filling weight of 1.20.

Since, the internal contains 1.20, then we can conclude that it is filling properly.

PLEASE HELP!!!!!

Part A: Which person has earned more money after working 3 hours? Show or explain your work.

Part B: After how many hours of work Will Mary Ann and Carlos have saved the same amount?
show or explain your work.​

Answers

Answer:

huh [•.•ิ] that's confusing sry

Answer:

after 3 hours they would each earn $21

Step-by-step explanation:

A student ties a string around a weight and swings the weight in a circle around her body. If the student
represents the Sun and the weight represents

Answers

Maybe a planet I’m guessing

help plzzzz!!!!!!!!!​

Answers

Answer:

28.27

Step-by-step explanation:

3.14 x 9

is how to do this problem

Teresa is a video game designer andher annual income is $134,723. Teresa must pay income tax of 6%. What is the amount of income tax in dollars and cents that Teresa pays



PLEASE HELP EASY 30 POINTS

Answers

Answer:

I want her mollah

Step-by-step explanation:

Pls help I’ll pay u 30$ if it’s right

Answers

Answer:

8 5 7 1 3 2 4 6

Step-by-step explanation:

my Cashsap kinqcollin

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It was named after its founder Zoroaster Let X and Y be independently random variables, with X uniformly distributed on [0, 1] and Y uniformly distributed on (0,2). Find the PDF fz (z) of Z = max{X,Y}.1. For z < 0 or z > 2: fz (z) =2. For 0 3. For 1 PLEASE HELP!!! Ill mark brainliest What happened during the Grenada War? Explain the financial reporting for special assessment bonds when a government assumes responsibility for debt service should special assessment collections be insufficient, and when the government assumes no responsibility whatsoever. Find a power series representation for the function. +3 f(x) = (x 4)2 00 f(x) = ) n = 0 Determine the radius of convergence, R. R= why does following American traditions, having a strong sense of nationality, and partaking in American customs and culture make and American an American. (Jeez, this is such a stup'id question. My English teacher hats my scrawny guts, I swear!)Also, please answer with just whatever you think. 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