15 represent the car travled 15 miles / gallons.
Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
We have been given that -
y = 15 * x
Where y = the distance and
x = the number of gallons of gas to cover that distance.
A common unit of capacity in English-speaking countries, equal to four quarts, the U.S. standard gallon being equal to 231 cubic inches (3.7853 liters), and the British imperial gallon to 277.42 cubic inches (4.546 liters).
Consider the units:
y[miles] = 15[??] * x[gallons]
15[??] = y[miles] / x[gallons]
[??] = [miles] / [gallons]
So the units of the parameter 15 must be [miles / gallon] to convert the gallons to miles.
Therefore 15 represents the miles / gallon for the vehicle.
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Traveling along a path from A to B, what is the ratio of the change in y to the change in x?
A. 5/3
B. 4/7
C. 3/5
D. 2/3
Answer:
Option C. is correct
Step-by-step explanation:
Slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Please note the slope measures the ratio of the change in y to the change in x.
The points of the graph are A=(-3,-2) B=(7,4). Calculating the slope:
[tex]\displaystyle m=\frac{4-(-2)}{7-(-3)}[/tex]
[tex]\displaystyle m=\frac{6}{10}[/tex]
Simplifying by 2:
[tex]\displaystyle m=\frac{3}{5}[/tex]
Option C. is correct
EASY HIGH POINTS
In parallelogram WXYZ, the longer sides are three times the length of the shorter sides.
Parallelogram W X Y Z. The length of sides W Z and X Y are 12 inches.
If W Z = 12 inches, what is the length of ZY?
3
4
8
12
Answer:
D. 12
Step-by-step explanation:
12 by 3 is 36 and since its three times the length if you divide it by 3 it would be 12.
Answer:
4
Step-by-step explanation:
[tex]log_{9}log_{2}log_{2}256[/tex]
Answer:
I hope it will help you...
. Marilyn bought a Christmas ornament for each of her grandchildren. She spent $5.35 for each ornament and paid $4.50 in sales tax. The total bill came to $68.70. How many ornaments did she buy? Let n represent the number of ornaments she purchased.
Answer:
she purchased 7 ornaments
can someone please help me
Answer
7 or 5 or both
Step-by-step explanation:
so first, you know it has to be 7 or 5 because all the other numbers are already on the chart and it M was that then you would get the same output value. now you figure out the equation. thats all I can help you with because I am dumb but hope you can figure out the equation.
Simplify.
[tex]\sqrt{44}[/tex]
At a real estate agency, an agent sold a house for $397,000. The commission rate is 4.5% for the real estate agency and the commission rate for the agent is 20% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
1. $97,265
2. $17,865
Step-by-step explanation:
Step one:
given data
cost of the house= $397,000.
we are told that the commission is 4.5% real estate agency
and also the agent commission is 20%
Step two:
1. How much did the agency make on the house?
this amount is 20% plus 4.5% together.
=20/100*397,000 +4.5/100*397,000
=0.2*397,000. +0.045*397,000.
=79400+17865
=97,265
The agent made a total of $97,265 on the house
2. How much did the agent earn in commission?
in commission, the rate is 4.5% which amounts to $17,865
(please i need help)
Tiya flipped a coin 40 times. The coin landed heads up 16 times and tails up 24 times.
Part A: Based on the results, what is the experimental probability of the coin landing heads up? Show your work. (5 points)
Part B: What is the theoretical probability of the coin landing heads up? Show your work
Answer:
A) 16/40
B) P(H)= 0.4
Step-by-step explanation:
A) 16+24=40 is your denominator.
16 times it landed heads up, so 16/40
B) 16/40 as decimal (16 divided by 40) = 0.4
P= probability
(h)= (Heads up)
the function f(x) is defined by the set of ordered pairs {(5,-2),(-6,-2),(3,-2),(4,-2)
Answer:
Assuming it is a constant function.
[tex]f(x)=0x-2[/tex]
Step-by-step explanation:
(5,-2)
(-6,-2)
(3,-2)
(4,-2)
From the points, we can see that for any value of [tex]x[/tex], the function will give -2. The graph of this function will be a horizontal line, parallel to the [tex]x[/tex]-line passing the y-intersect point -2.
So the function might be
[tex]f(x)=0x-2[/tex]
If it is a constant function.
I'm considering that there are no discontinuities.
Answer:
Domain: x>=-6
Range: y=-2
Step-by-step explanation:
I think this is the one but I’m not entirely sure
Benny went to his local zoo that featured 6 lion exhibits. If these lion exhibits make up 25% of the zoo's exhibits, then how many exhibits does the zoo have in total?
Answer:
24
Step-by-step explanation:
if 6 exhibits are 25% of the entire zoo. You would need four times that amount to get the total number of exhibits because 25% × 4 = 100%. So, if you multiply 6 × 4 the total number of exhibits would be 24.
A line passes through (1, –5) and (–3, 7). a. Write an equation for the line in point-slope form. b. Rewrite the equation in slope-intercept form.
Answer:
Point-slope form: y + 5 = 13/-4 (x-1)
Slope-intercept form:
Step-by-step explanation:
Ok, so first to find the equation in point-slope form, you need to find the slope. So, the slope would be 7- (-5)/-3-1 , which is 13/-4. That is your slope, or m. Now, for point-slope form, you have the equation y - y1 = 13/-4 (x-x1). Now, you take one of your points, say (1, -5), and you put it into the equation. So your point-slope form equation would be y - (-5) = 13/-4 (x - 1). This would simplify to y + 5 = 13/-4(x - 1).
Now for slope-intercept form, you have m, the slope, which is 13/-4. Substituting that into the equation, you have y = 13/-4x + b. To find b, you substitute one of your coordinates into the equation. For example, (1, -5). Then you have -5 = (13/-4 * 1) +b. Simplify this, and you have b = -5+ 13/-4, which is -20/4 + 13/-4, which is -20/4 - 13/4 = -33/4. So your final equation is y = 13/-4x - 33/4.
Hope that helped.
A random sample of 400 voters in a certain city are asked if they favor an additional 4% gasoline tax to provide badly needed revenues for street repairs. If more than 220 but fewer than 260 favor the sales tax, we shall conclude that 60% of the voters are for it.a.) Find the probability of committing a type I error if 60% of the voters favor the increased tax.b.) What is the probability of committing a type II error using this test procedure if actually 48% of the voters are in favor of the additional gasoline tax?
Answer:
A) α = 0.04136
B) β = 0.00256
Step-by-step explanation:
We are given;
Sample size; n = 400
Proportion; p = 60% = 0.6
Formula for mean is;
μ = np
μ = 400 × 0.6 = 240
Standard deviation is given by;
σ = √npq
Where q = 1 - p = 1 - 0.6 = 0.4
σ = √(400 × 0.6 × 0.4)
σ = √96
σ = 9.8
A) our null hypothesis is at p = 0.6
Probability of making a type I error means we reject the null hypothesis when it is true.
This can be expressed in reference to the question as;
α = P(x < 220) + P(x > 260) all at p = 0.6
Now,
P(x < 220) = z = (x¯ - μ)/σ = (220 - 240)/9.8 = -2.04
Also;
P(x > 260) = z = (260 - 240)/9.8 = 2.04
Now, from z-distribution table probability of a z-score of -2.04 is 0.02068.
Also, probability of z-score of 2.04 is (1 - P(z < 2.04) = 1 - 0.97932 = 0.02068
Thus;
α = 0.02068 + 0.02068
α = 0.04136
B) Type II error occurs when we fail to reject the null hypothesis even though it's false.
In this case our alternative hypothesis is at p = 48% = 0.48
Thus;
μ = np
μ = 400 × 0.48 = 192
Standard deviation is given by;
σ = √npq
Where q = 1 - p = 1 - 0.48 = 0.52
σ = √(400 × 0.48 × 0.52)
σ = √99.84
σ = 9.992
Type II error would be given by;
β = [((x1¯ - μ)/σ) < z > ((x2¯ - μ)/σ)]
β = [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]
β = (2.8 < z > 6.81)
Rearranging this gives us;
β = P(z < 6.81) - P(z < 2.8)
From z-distribution tables, we have;
β = 1 - 0.99744
β = 0.00256
In this exercise, we have to calculate the gasoline rates, and the answer will be:
A)[tex]\alpha= 0.04136[/tex]
B)[tex]\beta= 0.00256[/tex]
We are given that the sample size; n = 400, proportion; p = 60% = 0.6 so the formula for mean is;
[tex]\mu= np\\\mu=(400)(0.6)= 240[/tex]
Standard deviation is given by;
[tex]\sigma= \sqrt{npq}[/tex]
Where:
[tex]q = 1 \\p= 0.6\\q-p=0.4[/tex]
[tex]\sigma= \sqrt{(400)(0.6)(0.4)} \\=\sqrt{96} = 9.8[/tex]
A)Our null hypothesis is at p = 0.6. Probability of making a type I error means we reject the null hypothesis when it is true. This can be expressed in reference to the question as:
[tex]\alpha= P(x<220)+P(x>260)[/tex]
Now,
[tex]P(x < 220) = z = (x^-- \mu)/\sigma = (220 - 240)/9.8 = -2.04\\P(x > 260) = z = (260 - 240)/9.8 = 2.04[/tex]
Now, from z-distribution table probability of a z-score of -2.04 is 0.02068. Also, probability of z-score of 2.04 is:
[tex](1 - P(z < 2.04) = 1 - 0.97932 = 0.02068[/tex]
Thus;
[tex]\alpha= 0.02068+0.02068\\\alpha= 0.04136[/tex]
B) Type II error occurs when we fail to reject the null hypothesis even though it's false. In this case our alternative hypothesis is at p = 48% = 0.48. Thus:
[tex]\mu= np\\\mu= (400)(0.48)=192[/tex]
Standard deviation is given by;
[tex]\sigma= \sqrt{npq} \\=\sqrt{(400)(0.48)(0.52)} = 9.992[/tex]
Type II error would be given by:
[tex]\beta= [((x^{-1} - \mu)/\sigma) < z > ((x^{-2} - \mu)/\sigma)]\\= [((220 - 192)/9.992) < z > ((260 - 192)/9.992)]\\= \beta = (2.8 < z > 6.81)\\[/tex]
Rearranging this gives us:
[tex]\beta = P(z < 6.81) - P(z < 2.8)\\= 0.00256[/tex]
See more about statistics at : brainly.com/question/7412334
If f(x) = 2x - 5, then f(4) is _____.
Decide whether Equation A or B would be used to solve the problem.
You had $1.65. After a friend returned the money you had loaned her, you
had $3.50. How much did she give you?
a. n + 1.65 = 3.50
b. n - 1.65 = 3.50
Answer:
The correct answer is B because you had less when the friend did not give you the money. Therefore before you had 3.50-1.65
Step-by-step explanation:
(Wap) Urgent I need help with this question
Answer:
12.1
Step-by-step explanation:
In this question, we can use the pythagoras theorem to solve it.
the equation is [tex]\sqrt{11^{2}+5^{2} }[/tex] = slant height.
= 12.1
Which equation is a point slope form equation for line AB?
y+1=−2(x−6)
y+2=−2(x−5)
y+6=−2(x−1)
y+5=−2(x−2)
Answer:
Option 2: y+2=−2(x−5) is the correct answer.
Step-by-step explanation:
We can see two points on the line A and B.
Their coordinates are:
A = (x1,y1) = (1,6)
B = (x2,y2) = (5,-2)
The point slope form is given as:
[tex]y-y_1 = m(x-x_1)[/tex]
Here m is the slope which is found using the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Putting the values
[tex]m = \frac{-2-6}{5-1}\\m=\frac{-8}{4}\\m = -2[/tex]
Putting the value of slope
[tex]y-y1 = -2(x-x_1)[/tex]
Putting both points to get two forms of point slope form of equation
Putting (1,6):
[tex]y-6 = -2(x-1)[/tex]
Putting (5,-2):
[tex]y+2 = -2(x-5)[/tex]
Looking at the equations and options it can be concluded that
Option 2: y+2=−2(x−5) is the correct answer
help please this is also do very very soon thank you!!!
Answer:
700
Step-by-step explanation:
100:2
???:14
14*100
=1400
1400/2
=700
Answer:
The answer is 650
Step-by-step explanation:
You need to find the slope.
i took the points (2, 100) and (4, 200)
Then i put it into the slope formula which is y2 - y1/ x2- x1
I got that the slope is 50. So every two hours 5o millmeters for water drops. So now at 12 hours on the graph it says 600 millimeters of wate has already dropped. The graph is at intervals of two. Now at the next point it will be 14. So just add 50 to 600 and you get 650. So at 14 hours 650 water should have dripped
pls mark brainlest
8300 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 14 years , to the nearest cent?
Answer:
bruh
Step-by-step explanation:
42
Superman needs to save Lois from the clutches of Lex Luthor. After flying for 7 seconds, he is 1708 meters
from her. Then at 11 seconds he is 1484 meters from her.
What is Superman's average rate?
meters per second
How far does Superman fly every 13 seconds?
meters
How close to Lois is Superman after 24 seconds?
meters
Step-by-step explanation:
1) rate = ( 1484 - 1708) ÷ ( 11 - 7) = - 56 m/ s
2) rate × 13 = - 56 × 13 = - 728 m per 13 s
3) rate = - 56
t = 24 s
d = - 56 × 24 = 1344 m
whole distance = 2100
7 × 56 = 392
and he flay till 1708 then whole distance = 392 + 1708
so the remaining distance between him and her
2100 - 1344 = 756 m
Convert 2x + 37y = 18 to point-slope form.
Answer:
x=−37/2 y+9
Step-by-step explanation:
2x+37y=18
2x+37y+−37y=18+−37y
2x=−37y+18
2x2=−37y+18/2
x=−37/2 y+9
Does this look good I made it this morning
Answer:
looks delicious
Step-by-step explanation:
Answer:
Man looks so good!
Step-by-step explanation:
Send me some in the mail. lol ☺☻♥
Mrs. Johnson earned $31,500.00 in salary this year. Her salary will increase by 10% next year. Mrs. Johnson is paid on a monthly basis. By how much will her monthly salary increase when she receives her raise?
Answer:
34650 dollars by next year
Step-by-step explanation:
Answer:
Step-by-step explanation31500x.10. 3150. 31500+3150. 34650. 34650/12 2887.50. 31500/12. : 2625. Difference per month 262.50
A carpenter has 183 doorknobs in his workshop. Of those doorknobs, 95 are round and the rest are square. If he wants to place 9 square doorknobs in each bin, about how many bins would he need? The carpenter will need about bins.
Answer:
10 bins needed approximately
Step-by-step explanation:
Total door knobs = 183
Round door knobs = 95
Square door knobs = x
Total door knobs = Round door knobs + Square door knobs
183 = 95 + x
183 - 95 = x
88 = x
Square door knobs = x = 88
If he wants to place 9 square doorknobs in each bin, about how many bins would he need?
Divide total square knobs by square knobs in each bin
Total bins needed = Total square knobs / knobs in each bin
= 88 / 9
= 9.78
Approximately 10 to the nearest number of bins
Bins needed is approximately 10
Express this ratio in its simplest form.
240cm : 3.6m
Pls help i reall need help with this
Simplify Each
1. 3 - {7 - [8 + (7 - 3)] }
2. 12 - ( 3 - 4) - [8 - 6] + 5
3. - {2 - [7 - 8] + 2 - (1 - 3)}
4. 6 + 3
2 + 3
5. 4+5
- [ 8 - (245)]
1 - 4
Answer:
1.8
2.16
3.-7
5.-702
I didn't understand the 4th one
Answer:
1) 8
2) 16
3) -7
4) 14
5) 243
Step-by-step explanation:
For number 4 i just assumed you meant 6 + 3 + 2 + 3
whats 10 divided by 489
Answer:
0.02044989775
Step-by-step explanation:
Find the new price after the discount given. Round to the nearest cent if necessary.
$34.589 discounted 8%
Answer:
$31.82
Step-by-step explanation:
1) Mark's new car can drive 725 miles in 8
hours. How many miles can Mark's car drive in
an hour? How many miles can his car drive in
3 hours?
Answer: 271 miles
Step-by-step explanation:725÷8 to find the MPH which is 90.625. Then
multiply 90.625 by 3 which is 271.
A digital thermometer costs $599.99. The company offers a $200 rebate. What percent of the cost is
the rebate?
Answer:
33.33%
Step-by-step explanation:
600/3 is 200 which means 1/3 of it is rebated
True or False: A check is a document that directs the bank to deduct money from your account and make a payment
Answer:true
Step-by-step explanation: An order to a bank to pay a stated sum from the drawer's account, written on a specially printed form.