Answer: Therefore the scale factor is 48 times.
Step-by-step explanation: Since the drawing is in inches, the scale will be 1/4
the scale is 1 inch to 4 FEET.
Convert feet to inches
1 inch to 48 inches
So the ratio is 1:48
what is 1 2/3 + 5/7
Answer:
50/21 or 2 8/21
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
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
Write in normal form 2.8 x 10⁶ ?
Answer
The answer is2600000
Please help me:) i will give brainliest to the right answer<3
Answer:
It does
Step-by-step explanation:
It does have a proportional relationship because if you try to find the relationship between the first two inputs and outputs, you can find that it is 21 (1 to 21, 21 divided by 1 would be 21) then if you use that relationship with the other numbers (times 21) you would get the same answer. For example in the second one, the two numbers are 2 and 42, 2 times 21 would equal 42. The next one would be 3 times 21 to equal 63 and etc.
Hope this Helps!!
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?
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.
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]
a school newspaper pays $175 in set up fees and $2 per copy to print each issue What is the rate of change
ANSWER IT PLZ ITS DUE IN 5 MIN!11111
Answer:
y = -2x - 3
Step-by-step explanation:
2x + y = 3
y = -2x + 3
Parallel slope --> m = -2
y = mx + b
-5 = -2(1) + b
-5 = -2 + b
-3 = b
y = -2x - 3
Hope this helps!
GIVING BRAINLIEST HELP ASAP!! 3x + 5y = 12 in slope intercept form please show work
Answer:
y= -3/5x + 12/5
Step-by-step explanation:
Remember, the formula is y= mx + b
#1 So we're gonna put it into that order by subtracting 3x from both sides:
3x + 5y= 12
-3x -3x
We are left with this:
5y= -3x + 12
#2 Now we will divide 5 to both sides to isolate the variable
5y/5= -3x/5 + 12/5
#3 Now that the variable is isolated we are left with the answer:
y= -3/5x +12/5
Hope this helps :)
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
Learn more about probability here;
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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.
Learn more about confidence interval here:
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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
Look at image please help me asap
Answer: [tex]b^2[/tex]
You can write this as b^2
===================================================
Work Shown:
[tex]c = \frac{(ab^5)^{1/2}}{(ab)^{1/2}}\\\\c = \left(\frac{ab^5}{ab}\right)^{1/2}\\\\c = \left(b^4\right)^{1/2}\\\\c = b^{4*1/2}\\\\c = b^{2}\\\\[/tex]
So how's everyone day?
Is schoolwork fun, or terrible??
Is it hard to pretend that u actually like dis year :))))))
Answer:
2020 is trash brooo like dannnggg wegaofygawpyfgwy
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
The lowest point on Earth is Challenger Deep, at the bottom of the Marina Trench: 35,797 feet below sea level. The highest point is the summit of Mount Everest: 29,029 feet above sea level. What is the distance, in feet, between Challenger Deep and Mount Everest? Explain your answer.
Answer:
Step-by-step explanation:
add the two together to get your answer of 64,826. the reason why you would is because the marina trench is represented as 35,797 with sea level being 0. so to find the difference you would do 29,029-(-35,797), or just add the two together
Answer:
100,623
Step-by-step explanation:
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
If you help me I will give a brianlist
Answer:
4:6, 12:18
Step-by-step explanation:
i think this is correct
Whoever answers gets brainlist!
Answer:
The answer is 3 to the power of 2= 9
Step-by-step explanation:
a grocery store sells different types of trail mix as shown in the table below
Work out 4/7 + 2 1/3
It's 61/21. That's the answer.
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
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?
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.
Learn more:
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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
What is 3:2/3? How many 2/3's are in 3? *
0 41/3
9
O
2.
0 4 1/2
Answer:
4.5
Step-by-step explanation:
3 = 9/3
2/3 goes in 9/3 4.5 times
(1) Interpret the correlation r = 0.2. What all does it tell you about a bivariate data set? *
Answer:
a correlation of r = -0.2 suggest a weak, negative association. A correlation close to zero suggests no linear association between two continuous variables.
Step-by-step explanation:
help plzzzz I begg you
Answer:
1/2
Step-by-step explanation: