Answer:
2/12
Step-by-step explanation:
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
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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What is the slope in the Y intercept of the line on the graph below
slope= -4, Y intercept = 1
slope =-4, Y intercept = 4
slope = -1/4, Y intercept = 1
slope = -1/4, Y intercept = 4
Answer:
just by looking at the graph you can see that the y int is one, so that eliminates two answers already. Then the slope is rise over run. (best thing to remember in math. rise over run) so pick two points. (0, 1) and (4,0) were the first ones i saw. to get from those two points you go from (0,1) over 4 (thats your run) and from there down 1 (thats your rise) to get to (0,4). You would then do rise over run (and because your rise goes down its negative) to get -1/4 as your slope. The answer is slope= -1/4, Y intercept = 1
Answer:what he said is true
Step-by-step explanation:
hope this helps
If an items costs $41.04, including an 8% sales tax, what was the cost of
the item before taxes?
Answer:
$38
Step-by-step explanation:
I solved this by doing a proportion, 41.04/108 = x/100 to find the original price before the 8% tax. To solve this proportion you have to isolate the variable, so you would do the cross product and multiply (41.04 x 100) and have that equal to 108x. So then because you have 108x = 4104, isolate x by dividing by 108 and you get 38, thus $38.
You can also check your work by multiplying 38 by 0.08 to find the amount of sales tax added, and if you do this you will get the value $41.04.
A percentage is a number or ratio that represents a fraction of 100.
If an item costs $41.04, including an 8% sales tax then the cost of the item before the tax is $37.76.
What is a percentage?A percentage is a number or ratio that represents a fraction of 100.
Example:
50% = 50/100 = 1/2
20% = 20/100 = 1/5
25% = 25/100 = 1/4
10% = 10/100 = 1/10
5% = 5/100 = 1/20
We have,
Cost of an item including tax = $41.04
Sales tax = 8%
8% = 8/100
The cost of the item without the sales tax:
= 41.04 - (8% of 41.04)
= 41.04 - (8/100 x 41.04)
= 41.04 - 3.2832
= 37.76
Thus,
The cost of the item before the tax is $37.76.
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a grocery store sells different types of trail mix as shown in the table below
Apply the distributive property to the expression to write an equivalent expression. 5x + 35 Complete the statements. Find the GCF of . Now, factor out the GCF by dividing each term in the expression by . 5x divided by the GCF is , and 35 divided by the GCF is . The equivalent expression is .
Answer:
Apply the distributive property to the expression to write an equivalent expression.
5x + 35
Complete the statements.
Find the GCF of
✔ 5x and 35
.
Now, factor out the GCF by dividing each term in the expression by
✔ 5
.
5x divided by the GCF is
✔ x
, and 35 divided by the GCF is
✔ 7
.
The equivalent expression is
✔ 5(x + 7)
.
The equivalent expression is 5(x + 7).
Calculation of the equivalent expression;Here we need to apply the distributive property
The equation is 5x + 35
Now we have to determine the GCF by dividing the 5
So, it comes 5(x + 7).
Hence, we can conclude that The equivalent expression is 5(x + 7).
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.
12=r-(34-2) equation
what is the value of f(g(-3)?
Answer:
f(x) + g(x) = (-2x + 8)+ 3x
f(x) + g(x) = -2x + 8 + 3x Combine like terms.
f(x) + g(x) = x + 8
f(x) + g(x) = (f+g)(x) = x + 8
(f + g)(-1) = -1 + 8
(f + g)(-1) = 7
Step-by-step explanation:
a school newspaper pays $175 in set up fees and $2 per copy to print each issue What is the rate of change
What is the value of this expression if h = 8,7 = -1, and k = -12? 13 20
Answer:
Step-by-step explanation:
What is the value of this expression if h = 8,7 = -1, and k = -12? 13 20
6 More Than a Number is 14 what is the number?
Answer:
8
Step-by-step explanation:
a+6=14
a=14-6
a=8
Therefore
8+6=14
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.
Which of the tables represents a function? 50 points i will give braileist
Table P
Input Output
6 3
1 2
6 7
Table Q
Input Output
5 1
7 8
5 6
Table R
Input Output
2 5
6 7
9 8
Table S
Input Output
3 6
4 7
4 5
Question 2 options:
1)
Table P
2)
Table Q
3)
Table R
4)
Table S
Answer:
Table RStep-by-step explanation:
Table P
Not a function as repeat input of 6 with different outputsTable Q
Not a function as repeat input of 5 with different outputsTable R
FunctionTable S
Not a function as repeat input of 4 with different outputsFor 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
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!
Detyra 3: Takim me furnitorin
Rovena shkon me makinë nga restoranti
te furnitori i perimeve, 9 km larg. Secili nga
shokët mban shënim të gjitha udhetimet qe
bëhen në lidhje me restorantin dhe kohen
e shpenzuar në takime ne menyre qe
shpenzimet t'u rimbursohen dhe te dine sa
kohe po investojne
a Vizatoni një grafik të largesës në varësi te
kohës për udhëtimin e Rovenes
b Ne cilen orë kthehet ajo ne restorant
c Për sa kohë nuk ishte ajo ne restorant
Artesohun
50
Work out 4/7 + 2 1/3
It's 61/21. That's the answer.
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!
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?
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:
Will give brainlist to who finds this out!
Answer:
1
2
4
Step-by-step explanation:
Answer:
[tex]\sqrt{1}, \sqrt{4}, \sqrt{9}[/tex]
Step-by-step explanation:
First, remember that rational numbers either terminate or have repeating decimals. Those three are the only answers with perfect squares, [tex]\sqrt{1} = 1, \sqrt{4} = 2, \sqrt{9} = 3[/tex]. As you can see all of these answers terminate and therefore are rational, the rest go one forever while never repeating.
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.
Help plzzz will give brainliest
Answer:
1/3 and false at least i think wait for other answer to make sure it is correct
Step-by-step explanation:
A music store owner noted that CD sales had dropped 12% from one quarter to the next. If the owner sold 460 units in the first quarter, how many did she sell in the next quarter?
Answer:
404.8
Step-by-step explanation:
100%=460
12%=x
x=(12*460)/100
x=55.2
Answer=460-x
Whoever answers gets brainlist!
Answer:
The answer is 3 to the power of 2= 9
Step-by-step explanation:
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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8x2+4x−3 is divided by 2x−1
I hope it is helpful for you
Answer:
the answer is 1
Step-by-step explanation: i took the test on k12 hope this helps
please help it’s due right now. ofc it’s a quiz:D
Answer:
D is the answer.
Step-by-step explanation:
Y is going up by 3, while x is going up by 2. 3 over 2, which is the last answer.
we now its 3/2 because of the formula rise/run (rise over run).
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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Write in normal form 2.8 x 10⁶ ?
Answer
The answer is2600000