Answer:
25:3
Step-by-step explanation:
50 / 6 is simplified to 25 / 3 which would equal 25 : 3.
2. The table shows distance, y, that Mario runs in x minutes.
Mario’s Running Speed
Time,
(min) Distance,
(mi)
7 1
21 3
35 5
(a) Based on the information in the table, write an equation that can be used to model the relationship between the time (x) and distance (y). Show your work.
(b) What is the rate of change for this linear relationship? Show your work.
(c) What is Mario’s distance given that he ran for 70 minutes? Show your work.
Answer:
Equation: y = ⅐x
Rate of change: ⅐
Distance = 10 miles
Step-by-step explanation:
Given
The information in the above table
Solving (a): The equation
To get the equation, we need to first calculate the slope (m)
Take any two corresponding values of x and y
(x1,y1) = (7,1)
(x2,y2) = (21,3)
m = (y2 - y1)/(x2 - x1)
m = (3 - 1)/(21 - 7)
m = 2/14
m = ⅐
The equation is calculated using
y - y1 = m(x - x1)
Substitute values for m, x1 and y1
y - 1 = ⅐(x - 7)
y - 1 = ⅐x - 1
Add 1 to both sides
y = ⅐x
Solving (b) Rate of change:
The calculated slope in (a) above represents the rate of change.
So:
Rate of change = Slope = ⅐
Solving (c): Distance when time is 70 minutes
This implies that x = 70
Substitute 70 for x in y = ⅐x
y = ⅐ * 70
y = 10 miles
Estimate 55.8 ÷ (-3.1). Then find the quotient.
Answer:
-18 is your answer
Step-by-step explanation:
To check is -18 is the right answer or not, you can just multiply -18 and -3.1 which should equal up to 55.8
For the function, find f (−2), f (−0.5), and f (3).
f(x) = −5x + 2
Answer:
2
Step-by-step explanation:
becaue i siad so
Mr. Butler is playing a game with the pictured spinner. He wins the amount of money shown if he spins green. He loses the amount
of money shown if he spins yellow. Is this a fair game? Explain why or why not.
A)
Yes; Mr. Butler has an equal chance of winning money or losing money,
B)
Yes; Mr. Butler is more likely to win money than lose money.
No; Mr. Butler is more likely to win money than lose money.
D)
No; the same number would need to be on every piece.
Answer: He is more likely to win more money than lose money, but he has a equal chance of winning/losing.
The answer is number B
The mean volume for a bottle of cologne is 4 ounces and the standard deviation is 0.22 ounces. A random sample of 121 bottles is taken. What is the probability of obtaining a sample mean within 0.04 ounces of the population mean?
a. 0.9545
b. 0.0363
c. 0.3085
d. 0.5000
Answer:
The standard error of the mean is 0.02
Step-by-step explanation:
Here, we want to calculate the standard error of the mean.
Mathematically;
standard error of mean = SD/ √n
where SD is the standard deviation and n is the number of samples
From the question, SD = 0.22 and n = 121
Inserting this into the equation
Standard error of the mean = 0.22/√121
= 0.22/11 = 0.02
The probability of obtaining a sample mean is "0.9545".
According to the question,
Mean,
[tex]\mu = 4[/tex]
Standard deviation,
[tex]\sigma = 0.22[/tex]
Random sample,
[tex]n = 121[/tex]
By Central limit theorem,
→ [tex]\bar {x} \sim (4, \frac{0.22}{\sqrt{121} } )[/tex]
[tex]= 0.2[/tex]
Now,
→ [tex]P(|\bar{x} - \mu| \ \alpha \ 0.04) = P(-0.04 \ \alpha \ \bar{x} - \mu \ \alpha \ 0.04)[/tex]
[tex]= P(\frac{-0.04}{0.02} \ \alpha \ z \ \alpha \ \frac{0.04}{0.02} )[/tex]
[tex]= P(-2 \ \alpha \ z \ \alpha \ 2)[/tex]
[tex]= 0.9545[/tex]
Thus the above response i.e., "option a" is appropriate.
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A popular podcast poses questions to subscribers at the end of each segment, asking listeners to enter their
responses on a website to join the sample. One of the questions was: "Do you regularly read nonfiction novels?" More
than 45,000 people responded, with 59 percent saying "Yes." Which of the following is true?
A) The sample is too small to draw any conclusion.
B) About 59% of people in the US regularly read nonfiction novels.
C) The poll uses voluntary response, so the results tell us little about the population of all adults.
D) The poll uses a convenience sample, so the results tell us little about the population of all adults.
E) The poll suffers from nonresponse bias, so the results tell us little about the population of all adults.
Answer:
The poll uses voluntary response, so the results tell us little about the population of all adults.
Step-by-step explanation:
I took the test
The one which is true would be; C poll uses voluntary response, so the results tell us little about the population of all adults.
How to calculate confidence interval for population mean for small sample?If the sample size is given to be n < 30, then for finding the confidence interval for mean of population from this small sample, we use t-statistic.
Let the sample mean given as [tex]\overline{x}[/tex] and
The sample standard deviation s, and
The sample size = n, and
The level of significance = [tex]\alpha[/tex]
About 59% of the 45,000 people responded as "Yes" to the question
The sample size is n = 45,000.
The sample proportion is p = 0.59.
The sample selected is a voluntary sample, such that the individuals provided their responses voluntarily. So, the sample is not a true representative of the population.
Thus the results tell us little about the population of all adults because of the large sample size.
The correct option is C poll uses voluntary response, so the results tell us little about the population of all adults.
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Find the slope of each graph. Express the answer in simplest form.Can you please show me a graph you answer
Answer:
[tex]m=\frac{3}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-4, -2)
Point (0, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4+2}{0+4}[/tex]Add: [tex]m=\frac{6}{4}[/tex]Simplify: [tex]m=\frac{3}{2}[/tex]And we have our final answer!
The low temperature for 5 days was -5° -7° -29.29 and -3°. What was the average low temperature for those
days
If you help me I will give a brianlist
Answer:
4:6, 12:18
Step-by-step explanation:
i think this is correct
Mark and Dennis need 4 pounds of sassafras to make one barrel of rootbeer but they only have 1 pound. How much rootbeer can they make?
a school newspaper pays $175 in set up fees and $2 per copy to print each issue What is the rate of change
Tell me weather the transformation is a dilation Explain
Answer:
A dialation is an enlargment or reduction of a figure. The size changes. To find dilation, multiply each point by a scale factor(k). (x, y)➡(kx, ky)
Ex. scale factor is 3
(2, 5)➡(6, 15)
Step-by-step explanation:
I just learned this.
In the first round of a card game, niki scored 20 points. Then, she lost 10 points on one turn and a additional 25 points on her final turn. What’s niki’s final score?
True or False 2 is a root of x^6-9x^4+24x^2-16=0 two times
Answer:
True
Step-by-step explanation:
No need for explanation
Nancy was buying peaches to make a cobbler. She needed 4.5 pounds of peaches, and they are on sale for $1.60 per pound. How much will the peaches cost?
Given:
Required quantity of peaches = 4.5 pounds
Cost of peach = $1.60 per pound.
To find:
The total cost of required peaches.
Solution:
We know that,
Total cost = Number of units × Cost per unit
Now,
[tex]\text{Total cost of peaches}=\text{Number of peaches}\times \text{Cost per peach}[/tex]
[tex]\text{Total cost of peaches}=4.5\times 1.60[/tex]
[tex]\text{Total cost of peaches}=7.20[/tex]
Therefore, the total cost of peaches is $7.20.
Write a multiplication expression without exponents that is equivalent to 3^4
How many factors of 3 did you write?
Answer:
Answer: 3⁴ = 3×3×3×3
3⁴ means multiply four threes together.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
You just needed to Multiply maning the three, 4 times
In \triangle BCD,△BCD, \overline{DB}\cong \overline{CD} DB ≅ CD and \text{m}\angle C = 36^{\circ}.m∠C=36 ∘ . Find \text{m}\angle D.m∠D.
The measure of m∠D will be 36 degrees
What is a triangle?A triangle is a shape with 3 sides and angles
For the △BCD, since the side DB ≅ CD, then the base angles will also be equal. This shows that the triangle is an isoscecles triangle.
For the given triangle m<C = m<DGiven that m∠C = 36 degrees, hence the measure of m∠D will be 36 degrees
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A high school math class has 28 students: 18 seniors and 10 juniors. What is the probability that four randomly selected students will be seniors?
Answer:
18/28, or percentage wise, approximately 64.2%
Step-by-step explanation:
Take the seniors and divide it by the total # of students, and you got your probability!
Prompt: A car is traveling down a highway at the constant speed, described by the equation “d=65t” , where “d” represents the distance, in miles, that the car travels at this speed in “t” hours.
Question 1:
1. What does 65 tell us in this situation?
a. The car travels 65 miles in 1 hour.
b. The constant of proportionality is 65 miles per hour.
c. The car traveled a total of 65 miles
d. The car is traveling 65 miles per hour.
—————————————————————
Question 2:
2. How many miles does the car travel in 1.5 hours?
The car travels □ miles in 1.5 hours.
—————————————————————
Question 3:
3. How long does it take the car to travel 26 miles at this speed?
“Type your response in the down below”
Please Help!
Answer:
1) d
2) 97.5 miles
3)I am unsure on
Step-by-step explanation:
1) d=65t means that it is moving 65 miles per that amount of time (in this case using mph)
2) you take your equation "d=65t" and fill in your time (1.5) 65(1.5)=97.5
3) I don't know but possibly 2.5 minutes? (65/25) but I'm not sure I'm sorry
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Plz Help
Answer:
y=-4x+5 or -8/2x+5
Step-by-step explanation:
rise over run, to get the slope. when you do this you get rise is 8 because you count from one point to the other on the y axis and get 13-5=8. Then run is 2 do the same but for the x-axis and get 2-0=2. so you end up with 8/2 or 4 and since the line is going downwards its negative. The y intercept is 5 because that's where it intersects the y-axis. and the 5 is positive because it is a positive y, where the point of intersection is
A swim club has two payment plans.
You can become a member by paying a $12 new member fee and use the pool for $3 a visit.
Or, you can use the pool as a nonmember for $5 a visit.
For how many visits would it cost the same to be a member or a nonmember?
What is the domain of the relation graphed below? There are 6 points on a coordinate plane. The points are (negative 5, 0), (negative 4, 1), (negative 3, 4), (1, negative 2), (2, 4), (5, negative 3).
Answer:
3
Step-by-step explanation:
Work out 4/7 + 2 1/3
It's 61/21. That's the answer.
Write a polynomial function of least degree in standard form that has the given zeros: -1, 2, 3−1,2,3
Answer:
well base on my stuck knowledge i think jimmy neutron can answer that
thanks me later
In an effort to cut costs and improve profits, any US companies have been turning to outsourcing. In fact, according to Purchasing magazine, 54% of companies surveyed outsourced some part of their manufacturing process in the past two to three years. Suppose 555 of these companies are contacted.
A. What is the probability percentage that 338 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal places.
B. What is the probability percentage that 285 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal place.
C. What is the probability percentage that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to tywo decimal places.
Answer:
Following are the solution to this question:
Step-by-step explanation:
Given:
[tex]\ Mean = 0.54 \times 555 \\[/tex]
[tex]= 299.7[/tex]
[tex]SD = 11.74[/tex]
In point a:
[tex]\to Z = \frac{(338 - 299.7)}{11.74}[/tex]
[tex]= \frac{(38.3)}{11.74}\\\\= 3.26[/tex]
[tex]\to P = 0.000557\\\\\to \% = 0.06 \%[/tex]
In point b:
[tex]\to Z = \frac{(285 - 299.7)}{11.74}[/tex]
[tex]= \frac{(-14.7)}{11.74}\\\\= -1.25\\[/tex]
[tex]\to P = 0.8944\\\\\to \% = 89.44 \%[/tex]
In point c:
[tex]\to 48\% \times 555 = 266.4\\\\\to Z = \frac{(266.4 - 299.7)}{11.74}\\\\[/tex]
[tex]= \frac{(-33.3)}{11.74}\\\\= -2.83[/tex]
[tex]\to P = 0.002256\\\\\to \% = 0.23 \%[/tex]
the cost of 2 cups of strawberries is $6. write an expression for the relationship between the cost, c, and the cups of strawberries,s.
2cup=6$
Im sorry if it isnt good.
My fellow Americans, tonight, I’d like to talk with you about immigration.
For more than 200 years, our tradition of welcoming immigrants from around the world has given us a tremendous advantage over other nations. It’s kept us youthful, dynamic, and entrepreneurial. It has shaped our character as a people with limitless possibilities—people not trapped by our past, but able to remake ourselves as we choose.
–Address to the nation on immigration, President Obama, 2014
Which advantages of immigration does President Obama name in this passage? Check all that apply.
It has helped create new businesses.
It has helped boost the nation’s military.
It has helped shift the nation’s death rate.
It has shaped the character of the country.
It has given us benefits that other countries do not have.
Answer:
A, D, and Eso basically, It has helped create new businesses. It has shaped the character of the country. It has given us benefits that other countries do not have.
Answer:
A,D, and E
Step-by-step explanation:
just answered the question
A coin is tossed 7 times. What is the probability that the number of tails obtained will be between 5 and 7 inclusive?
Answer:
6/49
Step-by-step explanation:
a grocery store sells different types of trail mix as shown in the table below
Suppose that you draw one card from a well-shuffled deck of 52 playing cards. What is the probability that the card that you draw is a black 7 or a black 8
The probability that the card that you draw is a black 7 or a black 8 is 1/13
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
So, the probability that the card that you draw is a black 7 = 4/52
So, the probability that the card that you draw is a black 8 = 2/26
Therefore,
the probability that the card that you draw is a black 7 or a black 8 = 4/52 - 2/26 = 1/13
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