2) Shannon and Lisa start running at the same time
in the same direction
3
Shannon can run 1 - miles in 1/2 of an hour.
4
2
Lisa can run 2 1/2 miles in of an hour.
3
They both continue running at a constant rate.
WIN
How far apart will they be after 3/4 of an hour?
Answers
Answer:
0.1875 miles (or 3/16 of a mile)
Step-by-step explanation:
In order to make the math easier for calculating the distance, the values have to be calculated to whole hours.
1.75*2 = 3.5
2.5 * 3 = 7.5, 7.5/2 = 3.75
Now, I divide the whole hours into quarters
3.5/4 = 0.875
3.75/4 = 0.9375
Multiply both values by 3 to get the distance after 3/4 of an hour
0.875 = 2.625
0.9375 = 2.8125
remove the smaller value from the larger value
2.8125 - 2.625 = 0.1875
I might have used a more over-complicated method than what you might have been taught, but it should be just as efficient. Good luck with your assignment!
Related Questions
Find the RANGE
135 120 125 133 66 78 81 91 145 135 68
Answers
145-66=79
please help me with this question!!
“Steven's mother asked him to buy 750 grams of sugar. At the supermarket, he finds that the sugar packages give the weight in kilograms. What is the amount of sugar in kilograms that Steven needs to buy?”. i DO NOT know the answer. it would be so awesome if someone could help.
Answers
Answer:
0.75
Step-by-step explanation:
there is 1000 grams in 1 kilogram so I divided 750 by 1000 to get 0.75.
Jefferson purchased a jacket originally
priced $129 on sale for $90.30. What was the
percent of discount?
Answers
solve For X if 9( x²_1 )= 27 x 2187
Answers
Answer:
use photomath it'll slove it for you
Step-by-step explanation:
5. Consider kite HIJK. If HK = 8 and HP = 5, find KP.
H
К.
Р
Answers
Answer:
Step-by-step explanation:
KP²+HP²=KH²
KP²+5²=8²
KP²=64-25=39
KP=√39
PLEASE HELP ME ASAPPPPPPPPPPPPPPPPPPPPP
Answers
Box=cubic feet
Good luck!
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 40 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 115.8. If the organization's claim is correct, what is the probability of having a sample mean of 115.8 or less for a random sample of this size
Answers
Answer:
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.
This means that [tex]\mu = 118, \sigma = 17[/tex]
A randomly selected group of 40 members
This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]
What is the probability of having a sample mean of 115.8 or less for a random sample of this size?
This is the pvalue of Z when X = 115.8.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]
[tex]Z = -0.82[/tex]
[tex]Z = -0.82[/tex] has a pvalue of 0.2061
0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size
Help I need nhelp on this question and no links please
Answers
Image of answer
I hope that helps
- 4018669
On the Federal Job site it states that at a 90% confidence level that the true population mean salary of High School Mathematics teachers in Bergen County New Jersey is between $52,000 and $108,000 per year. 9) I am offered a job as a High School Mathematics teacher in Dale county Florida. The salary they offer is $48,000 a year. Can I make any conclusions based on the confidence interval
Answers
Answer:
Option c (I cannot........Florida) is the appropriate response.
Step-by-step explanation:
The given statement of query seems to be incomplete. Please find the attachment of the complete problem below.
Throughout New Jersey, the Federative Recruitment agency informs you of the average wage of mathematics in high schools.Unless you're in Florida and therefore don't know concerning Dale County Florida wages, this same work you've been given is well beyond the area whereby you know the compensation of teachers or instructors, you can't make any view.The other three given alternatives aren't related to the question. Thus option c is the correct one.
Eric is studying two number patterns. Pattern A starts at 0 and has the rule "add 6." Pattern B starts at 0 and has the rule "add 3." What is the relationship between corresponding terms in the two patterns?
The terms in Pattern B are 3 times the corresponding terms in Pattern A.
The terms in Pattern B are 2 times the corresponding terms in Pattern A.
The terms in Pattern B are one third the corresponding terms in Pattern A.
The terms in Pattern B are one half the corresponding terms in Pattern A.
Answers
Answer:
D) The terms in Pattern B are one half the corresponding terms in Pattern A.
Step-by-step explanation:
Pattern A | Pattern B
0 divided by 1/2 = 0
6 divided by 1/2 = 3
12 divided by 1/2 = 6
18 divided by 1/2 = 9
24 divided by 1/2 = 12
Which are solutions of
x/5= 1/+4?
A. -5 and 1
B. -1 and 5
C. 0 and 5
D. 0 and - 1
E. 2 and 3
Answers
Answer:
I think a is correct answer.
A student paid 256.37 in school fees how much has he paid to the nearest hundred
Answers
Answer:
300
Step-by-step explanation:
256.37 5 and 6 is high enoughh to boost that 2 up to a 3
Answer:
uhhh 256.37 is rounded to the nearest hundreth
Unless you mean hundred thwn it would be 300
For which of the following sample sizes is the sample median most likely to be above $250,000?
A. n = 10
B. n = 50
C n = 100
D. n = 1000
E Impossible to determine without more information
Answers
Answer:
A. n=10
Step-by-step explanation:
your welcome
Answer:
n=100
Step-by-step explanation:
In a residential neighborhood, the median value of a house is $200,000. For which of the following sample sizes is the sample median most likely to be above $250,000? That was the exact question I had on the quiz. I'm not sure why it is n=100, but I got it correct.
what numbers multiply to give 100 and when summed up give 25................................
Answers
I need help ASAP i will give brainlist
Answers
Answer:
M
Step-by-step explanation:
Answer:
Point M
Step-by-step explanation:
Each line represents 0.05 so M would best represent 1/3
Find the circumference of a circle with a diameter of 35 ft. Use 22/7 for π.
Answers
Answer:
110
Step-by-step explanation:
the equation for circumference of a circle is 2 multiplied by pie multiplied by radius. so you do 22/7 multiply that by two and then divide 35 by 2 and get 17.5 and multiply that by the pie times 2
You go to the quad on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36° with the ground. How high is the kite in the air? Round your answer to the nearest tenth. Show your work!.
Answers
Answer:
23.51m is the height
Step-by-step explanation:
the kite creates a triangle. 40•sin(36°) = 23.51141009 and round it to 23.51
A circular patio has a radius of 4 yards. The patio is expanded so that the
radius increases by 2 yards. By how many square yards does the area of the
patio increase?
Answers
Answer:
20pi or 62.83
Step-by-step explanation:
when r=4
pi r^2
16pi
when r=6
pi r^2
36pi
36pi-16pi=20pi or 62.83
Which of the statements is false about the additive identity?
A. if y is the additive identity, then x+y=x
B. the value of the additive identity is 0
C. Adding the additive identity corresponds to making no movements at all on the number line
D. it is the number you add to another number to get 0
Answers
Which function is linear?
A) y = x^2 + 4
B) 2y = 4x^2
C) 2y = x + 4
D) x^2=2y
Answers
Answer:
A
Step-by-step explanation:
its a
Answer:
C) 2y = x + 4
Step-by-step explanation:
all other functions include x²
Need answer quick please
Answers
In line 3, it will be 7x to the power 2 not 4.
So, the answer will be
[tex]{7x}^{2} + 2x - 1[/tex]
Vincent gathered groups of 1 to 8 people and gave every group the same positive salt. He recorded the number of minutes it took each you to solve the puzzle in Porter resort. What is the best description of this relationship
Answers
Answer:
Larger groups take less time
Step-by-step explanation:
What is the height (h) of the prism?
3ft
6ft
Answers
Answer:
6ft
Step-by-step explanation:
The height is 6ft, because the 3 foot measurements are the width of the prism.
Find the equation of the line shown. Enter yoir answwr in slope intercept form
Answers
Answer:
y = x
Step-by-step explanation:
The equation for slope is y = mx +b. If you look at the line you see that it passes through the origin, this is your y-intercept, 0. If you look at two points at the line and use the rise over run method, you get the slope to be 1. If you substituent these values into the equation you get, y = x.
Hope this helps!
-Luna
simplify (a-4b)(a-2b)
Answers
If one loaf of bread requires 450g of flour determine the maximum number of loaves of bread that can be baked from 12,5kg of flour
Answers
Use the distributive property to simplify the expression 7 (8x+3).
7(8X+3=
Answers
Answer:
56x+21
Step-by-step explanation:
7times 8x is 56x
7 times 3 is 21
add them together and you get 56x+21
A 6 inch personal pizza has 620 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.
Answers
9514 1404 393
Answer:
310 calories (120 from fat)
Step-by-step explanation:
A 12-inch pizza has double the diameter of the 6-inch pizza, so will have 2² = 4 times the area. 1/8 of that pizza will have 4/8 = 1/2 the area of the personal pizza. If calories are proportional to the area, then the slice will have ...
(1/2)(620 calories) = 310 calories . . . in 1 slice of 12-in pizza
How do you write 5.09 104 in standard form?
Answers
Hope that helped :)
5.
3. The Manhattan Island Cruise Company sold 57
tickets for its Circle-the-Island Cruise. Each adult had
to pay $22 for the cruise and each child had to pay
$10. The company's total receipts were $774. How
many children went on the cruise?
Answers
Answer:
40 children went on the cruise.
Step-by-step explanation:
This question can be solved by a system of equations.
I am going to say that:
x is the number of adults on the cruise
y is the number of children on the cruise.
57 tickets were sold:
This means that [tex]x + y = 57[/tex], and since we want the number of children y, [tex]x = 57 - y[/tex]
Each adult had to pay $22 for the cruise and each child had to pay $10. The company's total receipts were $774.
This means that:
[tex]22x + 10y = 774[/tex]
Since [tex]x = 57 - y[/tex]
[tex]22(57 - y) + 10y = 774[/tex]
[tex]1254 - 22y + 10y = 774[/tex]
[tex]12y = 480[/tex]
[tex]y = \frac{480}{12}[/tex]
[tex]y = 40[/tex]
40 children went on the cruise.