Answer:
[tex] P_{44} = 29.9 [/tex]
Step-by-step Explanation:
The 44th percentile, [tex] P_{44} [/tex], of the given data can be calculated using the kth formula for percentile given as:
[tex] i = \frac{k}{100}(n + 1) [/tex]
where,
i = the ranking or the position of the percentile = ?
k = the percentile = 44
n = total number of the given data values = 23
Plug in the values into the formula to find "i"
[tex] i = \frac{44}{100}(23 + 1) [/tex]
[tex] i = \frac{44}{100}(24) [/tex]
[tex] i = \frac{1,056}{100} [/tex]
[tex] i = 10.56 [/tex]
Since "I", 10.56, is not an integer, round the number down, and round it up to the nearest integer, then look for the position each occupy in the ordered data set, and find their average.
Thus,
[tex] i_{down} = 10.56 = 10 [/tex]
[tex] i_{up} = 10.56 = 11 [/tex]
The data occupying the 10th position on the data set = 28.7
11th = 31.1
[tex] P_{44} = \frac{28.7 + 31.1}{2} = \frac{59.8}{2} [/tex]
[tex] P_{44} = 29.9 [/tex]
What is the point-slope form given the following slope and a point on the line? m = 3/7 , (7, -4)
Answer:
The equation is y = (3/7)x - 7.
Step-by-step explanation:
Given that the point slope form of an equation is y = mx + b where m represents the gradient and b is the y-intercept. Then, you have to substitute the following values into the equation :
[tex]y = mx + b[/tex]
[tex]let \: m = \frac{3}{7} ,x = 7,y = - 4[/tex]
[tex] - 4 = \frac{3}{7} (7) + b[/tex]
[tex] - 4 = 3 + b[/tex]
[tex] - 4 - 3 = b[/tex]
[tex]b = - 7[/tex]
c.
A train is traveling 1 mile every 75 seconds. If the train continues at this rate, then how
far will it travel in two hours?
Answer:
96 miles.
Step-by-step explanation:
2 hours = 2*60*60 = 7200 seconds.
So the required distance = 7200/75
= 96 miles.
Answer:
96 miles
Step-by-step explanation:
i did this a few months ago (coincidence I think not)
PLZZZZZZZZZZZ HELP!!!!!!!!!!!!!!!!
Answer:
A. Graph B
Step-by-step explanation:
The reasoning is because the 2 lines are parallel; therefore, it is impossible for them to overlap or intersect, which is the only way a solution can be found. Parallel lines can never have a solution. Hope this helped!
2x² - (5 + 2x) + 6x²
Answer: 8x^2-2x-5
Step-by-step explanation:
Plz help would the answer be -30
Answer:
Yes
Step-by-step explanation:
-27+(-3) can be simplified to -27-3
-27-3= -30
Answer: Yes you are correct. The answer is -30
Explanation:
We are adding 2 negatives. So we effectively add the positive versions of each number, and then make the result negative.
You can think of it in terms of money: you start off 27 dollars in debt and then borrow 3 more dollars to be a total of 27+3 = 30 dollars in debt.
Or you can think of it like you're under the ocean. Writing -27 could mean you're 27 feet below sea level. Adding on -3, ie subtracting 3, would then move you down 3 feet to get to 27+3 = 30 feet below sea level.
People drive, on average, 11,979 miles per year. About how many miles each week is that?
(Type a whole number or decimal rounded to the nearest tenth as needed)
Answer:
230.4
Step-by-step explanation:
11,979 divided by 52 is 230.365384615.
230.365384615 Rounded gets the answer
The graph shows the speed of a ball in free fall for 10 seconds. Which is the constant of proportionality shown in the graph? It's on TTM.
Answer:A
Step-by-step explanation:
Evaluate the expression if x = 3, y = 4 and z = 5. 6y - 2xy
Answer:
the answer is 0
Step-by-step explanation:
6 (4) -2 (3)(4)
24-24=0
What number divided by 9 is greater than 700?
Answer:
Any number greater than 6,300
Step-by-step explanation:
Identify the pair of angles shown in the figure. Linear pair Vertical Supplementary Complementary
Answer:
Complementary angles
Step-by-step explanation:
The sum of the 2 angles = 27° + 63° = 90°
This is the definition of Complementary angles
The difference between a number x and 17 is 22
Answer:
X-17=22
X=22+17
X=39 this is the answer
simplify the expression
Answer:
[tex]\sqrt[3]{215}[/tex]
Decimal Form: 5.99072641
Look down for explanation
Step-by-step explanation:
[tex]\sqrt[3]{215}[/tex]
You have to simplify.
[tex]= \sqrt[3]{215}[/tex].
Decimal Form: 5.99072641
Now you have the answer to your question!
Hope this helps!
[tex]0.05x^{2}[/tex]how do i evaluate 0.05
The reduce feature on a copy machine is set at 84%. The picture being copied is 4.5 inches wide. What will be the width of yhe reduced picture?
Answer:
The answer is 3.825 inches, the reduced picture will be 84% of the size of the original
Answer:
3.78 inches
Step-by-step explanation:
if the original length is 4.5 and we are making it 84 percent of that size we multiply 4.5 times 84 percent(that is 0.84).
If we type in 4.5 * 0.84 on a calculator the answer comes back as 3.78
so the answer is 3.78 inches
What is 910 in scientific notation?
Answer:
9.1 x 10²
Step-by-step explanation:
Please help :) which angles are supplementary
Answer:
The first one BED and DEA. AEC and BEC.
Step-by-step explanation:
Supplementary angles are 2 angles that when added equals 180. Also, if there are no numbers given, the 2 angles should make a straight line when next to each other.
A chemist has 42 grams of aluminum. There are for aluminum. How many milliliters of aluminum does the chemist have?
Answer:
4,200 g. of aluminum
Step-by-step explanation:
42x100=4,200
The 42 grams of aluminum implies that the chemist has 0.06429ml of aluminum
How to determine the amount of aluminum?The mass is given as:
Mass = 42 grams
The density of aluminum is:
Density = 2.7 g/cm³
So, we have:
Volume = Density/Mass
This gives
Volume = 2.7/42
Evaluate
Volume = 0.06429cm³
Convert to ml
Volume = 0.06429ml
Hence, the chemist has 0.06429ml of aluminum
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Timothy has three friends. The following table shows the distance and time it takes him to drive to each of his friends’ houses. 5 km 11 km 18 km to 10 min 15 min 20 min. Is the time it takes Timothy to drive to his friends’ houses proportional to the distance
Answer:
No
Step-by-step explanation:
The time it takes Timothy to drive to his friends' houses is not proportional. This is because when going to the first house, he is going at 4km per minute, but when visiting the second and third houses he is no longer traveling at that speed.
In a directly proportional relationship, increasing one variable will increase another. The given relationship is not proportional.
What is the directly proportional and inversely proportional relationship?In a directly proportional relationship, increasing one variable will increase another.
This directly proportional relationship between p and q is written as
p∝q where that middle sign is the sign of proportionality.
Inversely proportional relationship increasing one variable will decrease the other variable if both are inversely proportional.
This directly proportional relationship between p and q is written as
p∝1/q where that middle sign is the sign of proportionality.
Given that the table shows the distance and time it takes him to drive to each of his friends’ houses.
Now, to know if the time it takes Timothy to drive to his friends’ houses proportional to the distance, find the ratio of distance to time for each row. Therefore, the ratios can be written as,
R₁ = 5km / 10 min = 0.5 km per min
R₂ = 11 km / 15 min = 0.7334 km per min
R₃ = 18 km / 20 min = 0.9 km per min
Since the ratio of distance and time in different cases is different, therefore, the given relationship is not proportional.
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A scientist creates a colony of bacteria in a dish. This type of
bacteria duplicates itself per minute.
If at 9am the experiment started with a single cell and at 9:13
the dish was half-full, at what time will the dish be full?
Answer: 9:14
Step-by-step explanation: So if he started if 1 bacteria, it becomes 2 bacteria at 9:01, etc. So at 9:13, it is 2^13 and if that is half, that means 2^14 is when it is full so 9:14.
The dish will be full at 9:14 am.
Given, the bacteria duplicates itself per minute.
The experiment started with a single cell at 9 am and at 9:13 am the dish was half full.
So it is clear that after 13 minutes of experiment started the dish was half full.
Now, let here is only 1 bacteria in the dish which is duplicating per minute,so after 1 minute it becomes 2 after that it becomes 4 and after that it becomes 8. Hence it is clear from the example the bacteria doubles itself in powers of her minute. ([tex]2^x[/tex]) here x is the number of minute.
Since after 13 minutes the dish was half full, it means there are [tex]2^{13}[/tex] bacteria in the dish. hence the full dish is [tex]2^{14}[/tex] bacteria. so the bacteria will take 1 more minute for the dish to be full.
Hence at 9:14 am the dish was full.
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Please help me with my homework :(
13. -5/6
14. -7/8
15 -7/10
Step-by-step explanation:
Jack picks 5 pounds of apples in 8 minutes. Jill picks 6 pounds of apples in 10 minutes. Working together at these rates, how many pounds of apples will they pick in 40 minutes?
-2x+11+6x help please ASAP
what is the constant of the polynomial 2x3 - 8x2 + 3x - 7
Answer:
-7
Step-by-step explanation:
A constant number is a number that contains no variables like x and y. The only constant in that problem is -7.
A constant is a number which independent of anything and never changes thus the constant in the given expression 2x³ - 8x² + 3x - 7 is -7.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
As per the given expression,
2x³ - 8x² + 3x - 7
Here, x is a variable.
The constant multiplied by a variable is said to be the coefficient.
Thus, 2,-8,3 are the coefficient.
A number independent constant is -7 will be constant.
Hence "A constant is a number which is independent of anything and never changes thus the constant in the given expression 2x³ - 8x² + 3x - 7 is -7."
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Identify the property of equality that makes Equation 1 and Equation 2 equivalent.
Equation 1
4.2x – 1.5 = 1.7x + 8.3
Equation 2
42x - 15 = 17x + 83
We use the multiplicative property of equality to make Equation 1 and Equation 2 equivalent.
Given,
Equation 1 - 4.2x – 1.5 = 1.7x + 8.3
Equation 2 - 42x - 15 = 17x + 83
We have to Identify the property of equality that makes Equation 1 and Equation 2 equivalent.
We have,
Equation 1 - 4.2x – 1.5 = 1.7x + 8.3
Equation 2 - 42x - 15 = 17x + 83
If we multiply 10 on both sides of the equation, we get
10 (4.2x – 1.5) = 10 (1.7x + 8.3)
10 x 4.2x - 10 x 1.5 = 10 x 1.7x + 10 x 8.3
42x - 15 = 17x + 8.3
We get,
42x - 15 = 17x + 8.3 which is equivalent to equation 2.
This property is called the multiplicative property of equality.
Thus we use the multiplicative property of equality to make Equation 1 and Equation 2 equivalent.
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What is the solution to this equation?
5x + 9 - 3x = 18 + 15
A. x= 3
B. x = 8
C. x = 12
D. x = 21
Answer:
21
Step-by-step explanation:
5x-3x=18+15-9
2x=42 /:2
x=21
A refrigerator sells for $1201. If the sales tax rate is 6.8%, what is the total price that you would pay for the fridge?
The answer is $1282.66
Explanation:
The sales tax rate (in this case 6.8%) is paid as part of selling a product. Also, to find the final price of a product, find the tax rate (percentage) of the price of the product and add this number to the price. The process to know the final price of the fridge is shown below:
1. Determine the 6.8% of $1201
1.1. Write the values
1201 = 100
x = 6.8
1.2. Cross multiply and solve the equation
x100 = 8166
x= 8166 ÷ 100
x = 81.66
2. Add this value to the original price
$1201 + $ 81.66 = $1282.66 (Total price including the sales tax)
[easy points] what is the verbal expression to this equation
Answer:
b
Step-by-step explanation:
BECAUSE x-25 = 3
shows something mines 25 that equals 3
you are playing an online game with your friend and they are on level four. You are on level 6 and can beat, on average, four levels per hour. if your friend can beat five levels per hour, how many hours will it take for you and your friend to be on the same level?
Answer:
2 hours
Step-by-step explanation:
at one hour, you would be on lvl 10 and he would be on lvl 9, at 2 hour you would be on lvl 14, and he would be on lvl 14.
Add 15,7,.5 step by step please I'll mark u brainlest PLEASE
Answer:
27
Step-by-step explanation:
15+5=20
20+7=27
Answer: 27
Step-by-step explanation:
15+5=20
20+7=27
What type of number is pie/2 ?
Answer:
its a irrational number