Answers
9514 1404 393
Answer:
5 miles
Step-by-step explanation:
It may get a bit messy, but we can solve for the desired value directly. Let d = the distance walked (in miles). Then 20-d is the distance traveled in the car. The relevant relation is ...
time = distance / speed
The total travel time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours. Here is the equation for total travel time.
total time = time spent walking + time spent riding
13/6 = (d/3) + (20-d)/30
Multiplying by 30 gives ...
65 = 10d + 20 -d
45 = 9d . . . . . . . . . . subtract 20
5 = d . . . . . . . . . . . . divide by 9
The girl walked 5 miles.
_____
Check
Her walking time was (5 mi)/(3 mph) = 5/3 h = 1:40.
Her riding time was (15 mi)/(30 mph) = 1/2 h = 0:30.
Her total travel time was 1:40 +0:30 = 1:70 = 2:10, as required.
Related Questions
An NBA trainer wants to know if his stretching routine is helping the players on his team jump higher. He records the average height jumped for 8 players before completing his stretching routine, and then again after they have stretched. What is the parameter? Group of answer choices dbar = the true sample mean difference in jump height mu_d = the true sample mean difference in jump height dbar = the true population mean difference in jump height mu_d = the true population mean difference in jump height
Answers
Answer:
a. mu_d = the true population mean difference in jump height
Step-by-step explanation:
In statistical parlance, observations used for a study could either be randomly chosen points or members of a large group or population, this small chosen observation obtained from a larger group is called the sample, the statistical measures or characteristic of such group is called statistic; while statistical characteristic, computations or measurement of the entire group of observations is called the parameter.
Mean of sample are usually represented with a bar sign on top such as (xbar) ; while mean of a population is represented as μ.
Which statement is true about the polynomial 5s^6t^2 + 6st^2 - 8s^6t^2 - 6t^7 after it has been fully simplified?
Answers
Given:
The polynomial is
[tex]5s^6t^2+6st^2-8s^6t^2-6t^7[/tex]
To find:
The correct statement about the given polynomial.
Solution:
We have,
[tex]5s^6t^2+6st^9-8s^6t^2-6t^7[/tex]
On combining like term, we get
[tex]=(5s^6t^2-8s^6t^2)+6st^9-6t^7[/tex]
[tex]=-3s^6t^2+6st^9-6t^7[/tex]
Here, the terms are [tex]-3s^6t^2, 6st^9, 6t^7[/tex]. So, the number of terms is 3.
The degree of the polynomial is the highest power of the variable or the product of the variables.
Powers of [tex]-3s^6t^2, 6st^9, 6t^7[/tex] terms are 6+2=8, 1+9=10, 7.
Since the highest power of the product of the variable is 10, therefore, the degree of the polynomial is 10.
Hence the correct option is b.
It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance. Athletes are tested to see if they are using illegal drugs or not using illegal drugs and the test can come back positive or negative. The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user). What is the probability that an athlete tests negative and is not a user of an illegal drug
Answers
Answer:
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Not a user of an illegal drug.
Event B: Tests negative.
The test for this drug is 90% accurate for non-drug users (this means there is a 90% chance the test comes back negative if the person is a non-user)
This means that [tex]P(B|A) = 0.9[/tex]
It is estimated that 3% of the athletes competing in a large tournament are users of an illegal drug to enhance performance.
So 100 - 3 = 97% probability that the athlete does not use the drug, so [tex]P(A) = 0.97[/tex]
What is the probability that an athlete tests negative and is not a user of an illegal drug
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = 0.9*0.97 = 0.873[/tex]
0.873 = 87.3% probability that an athlete tests negative and is not a user of an illegal drug
Select the correct answer.
Identify the axis of symmetry of the function graphed below.
A. X=1
B. X=3
C. X=5
D. X=4
Answers
x=3
found by the vertex
Answer:
B. ( X = 3 )
Step-by-step explanation:
it's correct edmentum/plato
A counselor at the local chapter of Impulse Buyers Anonymous had just conducted a weekend workshop on how to be less suggestible. To find out if the workshop had any effect, she had each participant fill out a questionnaire that measured suggestibility, with high scores indicating high suggestibility. (Several such questionnaires exist.) Suppose that the national norm (mean) for the questionnaire that was used was 25 and that the participants produced the following statistics. Construct a 95 percent confidence interval and sentence of interpretation that tells about the effect of the workshop.ΣΧ = 242 ΣΧ2 = 5,413 N = 11
Answers
Answer:
(20.322 ; 23.678)
Step-by-step explanation:
Given that :
ΣΧ = 242 ; ΣΧ2 = 5,413 ; N = 11
Mean, m = ΣΧ / N = 242 / 11 = 22
Standard deviation = sqrt[(ΣΧ2/N) - (ΣΧ/N)²]
Standard deviation = sqrt[(5413/11) - (242/11)^2]
Standard deviation = sqrt(8.0909090) = 2.84
Confidence interval = m ± Zcritical * s/sqrt(n)
Zcritical at 95% = 1.96
Lower boundary = 22 - 1.96*2.84/sqrt(11)
Lower boundary = 22 - (1.96 * 0.8562922) = 20.322
Upper boundary = 22 + (1.96 * 0.8562922) = 23.678
URGENT! Please answer!
Answers
Answer: 22/3
Step-by-step explanation:
So, the first step is to add 9/2 to both sides. We cant do that unless there is a common denominator between -8/3 and 9/2. I will leave the 1/4 alone because we will have to divide that later. When you divide a fraction, you multiply by the reciprocal, which doesnt require a change in denominator. That is my reason for not changing the 1/4.
The common denominator of the two would be 6.
[tex]-\frac{16}{6} =\frac{1}{4}x-\frac{27}{6}[/tex]
Add the 27/6 to both sides
[tex]\frac{11}{6}=\frac{1}{4}x[/tex]
Divide the 1/4 to both sides
[tex]x=\frac{11}{6}*\frac{4}{1} =\frac{44}{6}= \frac{22}{3}[/tex]
1. A shirt, x, is discounted 20%; what is the sale price?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
2. A family left a 20% tip after their meal. What is the final cost of their meal if the food cost x dollars?
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
3. A store adds a 120% markup to the cost of an item before selling it to the customers
A. y = 2.2x
B. y = 0.8x
C. y = 1.2x
D. y = 1.02x
E. y = 0.02x
Answers
Answer:
.8x
Step-by-step explanation:
4 2/3 = 5 − 1/3
true or false
Answers
Answer:
true
Step-by-step explanation:
take away 1/3 from 5 and you get four and a third
Which table represent a linear function? Pic attached and I will mark Brainly
Answers
Answer:
3 one
Step-by-step explanation:
seems logical hope this helped
Help needed today plsss
Answers
Answer:for #2 it's answer 1. #3 is " five less than twice a number is 2x-5. Then 5 times the sum of two numbers if 5x+y. The the difference of 5 and a number squared is (5-x)*2
Step-by-step explanation:
Hope this helps
The volume inside a rectangular storage room is 2061 feet The room is 9 feet high find the area of the floor
Answers
Answer:
229 ft²
Step-by-step explanation:
Note that the volume is 2061 ft³, not 2061 ft.
area of floor = volume÷height = (2061 ft³)/(9 ft) = 229 ft²
Simon's monthly take-home pay after taxes) is $2100. If he pays 22% of his gross pay (before taxes) in tax, what is his gross pay?
Simon's gross pay is $
(Round to the nearest dollar as needed.)
Answers
Answer:
[tex]approximately \: 2692 \: dollars[/tex]
Step-by-step explanation:
[tex]2100 = x \times 0.78[/tex]
We take both sides divided by 0.78
[tex]2100 \div 0.78 = x \\ 2692 = x \\ x = 2692 \: dollars[/tex]
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
Which letter is it??
Answers
reeeeeeeeeeeeeeeeeeeeeeee
How do we write equations from word problems?
Answers
Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. Let k>0 be the constant of proportionality. Assume the coffee has a temperature of 200 degrees Fahrenheit when freshly poured, and 11 minutes later has cooled to 190 degrees in a room at 62 degrees.
Required:
a. Write an initial value problem for the temperature T of the coffee, in Fahrenheit, at time t in minutes.
b. Solve the initial value problem in part (a).
Answers
Answer:
Tt = Ts + Ce^-kt
Tt = 62 + 138e^-0.0068t
Step-by-step explanation:
The initial value problem for the Newton cooling rate is :
Tt = Ts + Ce^-kt
Initial temperature,when freshly poured Ti = 200°F
Temperature after 11 minutes = 190°F
Temperature of room, Ts= 62°F
Using the relation :
Tt = Ts + Ce^-kt
Temperature after time, t
When freshly poured, t = 0
k = constant of proportionality
We can then solve for C and k as follows :
200 = 62 + Ce^-0k
200 = 62 + C
C = 200 - 62 = 138°F
Using the Temperature after 11 minutes ; we can find, k, proportionality constant:
Temperature, Tt after, t = 11 minutes = 190
Tt = Ts + Ce^-kt
190 = 62 + 138e^-11k
128 = 138e^-11k
128 / 138 = e^-11k
0.9275 = e^-11k
Take In of both sides :
−0.075223 = - 11k
k = −0.075223 / - 11
k = 0.0068
The model function becomes :
Ts = 62 ; C = 138
Tt = 62 + 138e^-0.0068t
Which of the following is a quadratic equation whose roots are 3 and -1?
Answers
(x-3)(x+1)
x^2-2x-3
Answer:
JK up FMyRick they rock TBD Trinity scrump TV TM in
K+22=17 would be K=15 right plz correct me if I'm wrong
Answers
Answer:
k = -5
Step-by-step explanation:
A hockey team scored the following number of goals in their last 5 games:
2, 3, 5, 3, 2
Which is the mean absolute deviation of the number of goals?
Answers
Answer:
3.3
Step-by-step explanation:
Please smart people
Consider the graph of a unit circle and a point traveling along the circumference of the circle. Which
statement is true?
O A. The point travels a distance of about 6 units in one revolution around the circle.
B. The point travels a distance of about 1 unit in one revolution around the circle.
O C. The point travels a distance of about 3 units in one revolution around the circle.
D. The point travels a distance of about 2 units in one revolution around the circle.
Answers
What is the volume of the triangular prism below?
7 yd
18 yd
12 yd
Answers
Step-by-step explanation:
V = 1/2 a x c x h
1/2 * 7*12*18 = 756 yd ^3
Lucy is building a fence for her pigpen that that the pigs cannot escape. The area of the rectangular pigpen is 96 sq ft. The length of the pigpen measures 12 ft. What is the width,in feet?
Answers
So divide area by the width to get the answer
96 divided by 12 is 8
8 Ft is the other side.
Good luck
Brainleist would be appreciated
3. Which number is a natural number?
A-2.5
B 5-151
C-13+51
D|-81-2
Answers
Answer:
C
Step-by-step explanation:
A natural number is a number that you would use to count kids in a class for example. Like, 1,2,3,4 and so on. 2.5 is not a natural number since there cant be 2.5 of a student. 5-151 is a negative number and there cant be negative students. -13+51=38. 38 is a natural number. Now, in D it looks like there mightve been a absolute value sign but im not sure. If D has absolute value signs then D works too. Hope I could help.
if the director tells you to walk upstage, you will be moving towards or away from?
Answers
I think it's away
Step-by-step explanation:
here's how I see it it's the director is telling you to move upstage the director isn't on the stage therefore you would have to move away from him
Answer:
To the back of the stage, away from the audience.
Step-by-step explanation:
Old stages used to tilt down to the audience so upstage meant to walk to the higher back part of the stage.
When the American Idol competition was down to the final two contestants, the winner was ahead of the second-place finisher by $12$ million votes. If the total number of votes was $90$ million, how many votes did the winner get?
Answers
Answer:
I know you go to aops...
Step-by-step explanation:
First show your thinking before you ask others how to solve a problem, and ASK YOUR TEACHER FOR HELP!!
Mr. Kelly and mr. Sully each make some new units for geometry. Total they need to make 12 units.
Answers
Answer:
What exactly do you need to be answered?
Step-by-step explanation:
Xavier's new car uses 25 gallons for 528 miles, approximately how many miles does it travel per gallon ?
Answers
!!! ASAP! PLEASE ANSWER WILL GIVE A LOt OF POINTS AND MARK BRAINLIEST !!!!!
Answers
Answer:
80 minutes
35.2 km
Step-by-step explanation:
You can't give more than the 6 points you have allocated. If I am the only person answering, you have to come back to award the Brainliest -- it varies how much time. Usually 2 or 3 days. Few people do.
The answer to this question depends on you understanding that both girls will be side by side when the second one catches the first. So the distances will be equal
That means that
.44t = 35t + 7.2 Subtract 0.35t from both sides
0.44t - .35t = 7.2
0.09 t = 7.2 Divide
t = 7.2/0.09
t = 80 minutes
How far apart are they from the starting point?
d = 0.44t
d = 0.44 * 80
d = 35.2 km from the starting point.
1. In Mrs. Taylor's English class, 12 of the 21 students received a B on their
essay. What percent of students earned a B?
Answers
Answer:
57.1% (to 3 s.f.)
Step-by-step explanation:
12/21 *100
Here are step-by-step instructions showing you how we calculated 12 out of 21 as a percentage:
The first step is to divide 12 by 21 to get the answer in decimal form:
12 / 21 = 0.5714
Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:
0.5714 * 100 = 57.14%
Therefore the answer is 57.14% of students earned a B
A rectangle has an area of 48 cm² and a perimeter of 38 cm. What are the dimensions of the rectangle?
A. 1 cm X 48 cm
B. 2 cm x 24 cm
C. 3 cm x 16 cm
D. 4 cm x 12 cm
E. 6 cm x 8 cm
Answers
Answer:
c
Step-by-step explanation:
3x16=48
3+16+3+16=48
pls brainliest
what does the denominator of 3/2 mean?
Answers
Hello!
The denominator is like the number under the line. So in this case, 2 would be the denominator.
~Sophia
