Answer:
Average = 7.83
Variance = 20.8339
Step-by-step explanation:
Since the average number of teeth lost in years 5-9 was 7 teeth this means that the average was 7 each year. Therefore, to estimate the average of teeth lost per year including all the years then we need to add the average each year and divide by the number of years being included like so...
7 + 7 + 7 + 7 + 7 + 12 = 47 teeth
47 teeth / 6 days = 7.83
Now that we have the mean we can find the variance.
[tex](7-7.83)^{2}[/tex] = 0.6889
[tex](12 - 7.83)^{2}[/tex] = 17.3889
0.6889 + 0.6889 + 0.6889 + 0.6889 + 0.6889 + 17.3889 = 20.8339
Miko has a vast collection of books in her library. English books make up
3
8
of her collection.
5
7
of the remaining books are Chinese books and the rest are German books. How many books are there in her book collection if there are 75 Chinese books?
Answer:
168 books
Step-by-step explanation:
Given
[tex]English = \frac{3}{8}[/tex]
[tex]Chinese = \frac{5}{7}[/tex] of the remaining books
Required
Determine the total number of books
If the proportion of the English books is 3/8, the the remaining is:
[tex]Remaining = 1 - English[/tex]
[tex]Remaining = 1 - \frac{3}{8}[/tex]
Take LCM
[tex]Remaining = \frac{8 - 3}{8}[/tex]
[tex]Remaining = \frac{5}{8}[/tex]
From the question, we understand that:
[tex]Chinese = \frac{5}{7}[/tex] of the remaining books
This means:
[tex]Chinese = \frac{5}{7} * \frac{5}{8}[/tex]
[tex]Chinese = \frac{5*5}{7*8}[/tex]
[tex]Chinese = \frac{25}{56}[/tex]
From the question, we also understand that 75 are Chinese books.
The total number of books can then be calculated using:
[tex]Chinese = \frac{25}{56} * Total[/tex]
Substitute 75 for Chinese
[tex]75 = \frac{25}{56} * Total[/tex]
Make Total the subject:
[tex]Total = \frac{56 * 75}{25}[/tex]
[tex]Total = \frac{4200}{25}[/tex]
[tex]Total = 168[/tex]
There are 168 books are there in her book collection if there are 75 Chinese books.
Given
Miko has a vast collection of books in her library.
English books = 3/8
Chinese books = 5/7.
Ratio proportion;A ratio is a comparison of two or more numbers that indicates their quantities in relation to each other.
The proportion of the English books is 3/8, the remaining is:
[tex]\rm Remaining\ books=1-\dfrac{3}{8}\\ \\ Remaining\ books=\dfrac{8-3}{8}\\\\ Remaining\ books=\dfrac{5}{8}[/tex]
Then,
Chines books = ratio of Chinese book × ratio of remaining books × Total books
[tex]\rm 75=\dfrac{5}{7}\times \dfrac{5}{8}\times Total \ books\\\\Total \ books =\dfrac{75 \times 7\times 8}{5\times 5}\\\\Total \ books =3\times 56\\\\Total \ books=168\\[/tex]
Hence, there are 168 books are there in her book collection if there are 75 Chinese books.
To know more about proportion click the link given below.
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A roll of fabric was 132 inches long.A customer bought 2 feet of fabric. How many feet of fabric were remaining?
Answer:
9 FEET
Step-by-step explanation:
YOU CONVERT THE INCHES TO FEET THEN SUBTRACT THE 2 FEET YOU GET 9 FEET
plz solve for brainlyest
Answer:
1.80
Step-by-step explanation:
If there are 22 students in a class and each student makes 4 posters how many posters will the class make
Answer:
88 is the answer 22 × 4 =88
!!!10 points + brainly!!!
Answer:
The number of fours divided by the total number of possibilities. If there are two fours and 8 spaces, the probability is 2/8 = 1/4.
Step-by-step explanation:
Two similar triangles are show below:
Answer:
Third one!! I thinkk number 3
Factoring
a. 35x+49y
b. 77x-56y
Answer:
a. 7 ( 5 x + 7 y )
b.7 ( 11 x − 8 y )
Step-by-step explanation:
im pretty sure that this is correct and hope it helps!
If Matt buys 3 oranges for $2.79 at the fruit start, what is the rate per orange.
Answer:
the rate is $0.93 per orange
Answer: $0.93
Step-by-step explanation:
A triangle has sides with lengths of 8 miles, 15 miles, and 18 miles. Is it a right triangle?
Answer:
No
Step-by-step explanation:
for it to be a right triangle, a² + b² = c². C must be the larger of the 3 sides, which in this case is 18. if you substitute 8 for a and 15 for b, you do not get C = 18, meaning that this is not a right triangle
F(-2)=x^2-3x+4; find f(-2)
Can someone help me?
Answer:
12xe=d
Step-by-step explanation:
Dakota and Justine are training to be in the Sweat for Fun Run. They ran the same distance on Saturday, but Dakota finished in less time. They each plan to run for the same amount of time on Sunday. If their average speeds are consistent, who will run farther on Sunday?
Answer:
Dakota will run farther on Sunday.
Step-by-step explanation:
when they ran the same distance Dakota finished first, so she ran more miles per hour than Justine did. If they both run at the same speed on sunday that they ran on saturday, dakota will run farther because her speed is greater than justine's speed
Answer:
Dakota will run farther on Sunday.
Step-by-step explanation:
What is one third time two hundred twenty two?
Answer:
74
Step-by-step explanation:
Eight less than the product of a number n and 1/4 is no more than 98
Answer:
1/4n-8<98, make sure to put the line up under the inequality sign
Angle x is (2n+12) and angle y is 3n+18 find the measure of angle x
Answer:
I have a solution.
Step-by-step explanation:
(2n+12) and 3n+18
=2n+12=3n+18
=2n+3n=12+18
=5n=30
=n=30÷5
=n=6
therefore,x=n=6
1. y = x - 1
y = -x + 1
Answer:
hdbjjvdskj djjvdvbkhhbvhj s
Step-by-step explanation:
A radio DJ frequently announces how much money is currently in a jackpot. Every day several randomly selected residents are called and asked to identify the amount, and thereby win it. Those who keep track of the jackpot amount are most likely to be reinforced on a __________ schedule.
Answer:
"Variable interval" is the right solution.
Step-by-step explanation:
A variable-interval timetable seems to be a fiber-reinforced routine where another sensitivity or reaction would be commended because an unanticipated or unstable transaction has taken place, which would be the exact reverse of either a fixed-interval routine. The whole such schedule results in a slow or predictable, fairly constant targeted respondents.he label on a juice carton says there are 50 calories in a 4-ounce serving of juice.
Arthur drinks 12 ounces of juice.
How many calories will he consume?
48 calories
58 calories
150 calories
200 calories
Answer:
Step-by-step explanation:
150
Which of the following is an irrational number
Answer:
D) any number that isn't a perfect square is irrational
Step-by-step explanation:
Answer:
D PLEASE MARK BRANLIEST
Can u guys help me please I need a correct answer
Answer:
4 4/7
Step-by-step explanation:
You multiply the n by 7 first because you are cross multiplying. So it would be 7n = 32.
So to simplify you would divide 32 by 7 to get n= 4 4/7
4 4/7 is a mixed number 4 is the whole and 4/7 is the fraction just to clarify
Or as a fraction it would be 32/7
A van traveled 242 km at a speed of 55 km/h. How long did it travel?
Answer:
Your answer would be 4 hrs and 24 minutes for how long the van traveled
Step-by-step explanation:
Which is the equation of the parabola?
y = −one eighth(x + 3)2 + 2
y = one eighth(x − 3)2 − 2
y = one eighth(x + 2)2 + 3
y = −one eighth(x − 2)2 − 3
The equation that represents the given parabola is -
[tex]$y=\left(-\frac{1}{\left(8\right)}\right)\left(x-3\right)^{2} - 2[/tex]
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a graph showing a parabola.
Refer tot the graph attached. It shows a step by step process of how the general function of a parabola : y = x² is modified step by step to give the resulting graph. The graph shown in the image is given by equation -
[tex]$y\ +2=\left(-\frac{1}{\left(8\right)}\right)\left(x-3\right)^{2}[/tex]
Therefore, the equation that represents the given parabola is -
[tex]$y=\left(-\frac{1}{\left(8\right)}\right)\left(x-3\right)^{2} - 2[/tex]
To solve more questions on functions, expressions and polynomials, visit the link below -
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Use the Table below to find the Average Rate of Change from x = -2 to x = 1. Show your work for full credit.
x f(x)
-3 0
-2 3
-1 4
0 3
1 0
Answer:
We conclude that:
The average rate = -1
Step-by-step explanation:
We need to find the Average Rate of Change from x = -2 to x = 1.
From the table it is clear that:
at x₁ = -2, f(x₁) = 3
at x₂ = 1, f(x₂) = 0
The formula to determine the average rate of change from x = -2 to x = 1.
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [0 - 3] / [1-(-2)]
= -3 / 3
= -1
Therefore, we conclude that:
The average rate = -1
helpppppzzzz
1 HOUR LEFT
use the given function F(x)= 0.08x+4.02 to evaluate the values below
a) f (12.6) =
b) f (-1.09) =
I am really stuck it would mean the world if you could help :)
Step-by-step explanation:
Substituting value of x in the equation we get the answers.
The required values are F(12.6) = 5.028 and F(-1.09) = 3.9328 for the given function.
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
The function is given in the question as:
F(x) = 0.08x + 4.02
We have to evaluate the values F(12.6) and F(-1.09) for given function.
As per the question, we have
F(x) = 0.08x + 4.02 ....(i)
For evaluate the value F(12.6),
Substitute the value of x = 12.6 in the given function,
F(12.6) = 0.08(12.6) + 4.02
F(12.6) = 1.008 + 4.02
F(12.6) = 5.028
For evaluate the value F(-1.09),
Substitute the value of x = -1.09 in the given function,
F(-1.09) = 0.08(-1.09) + 4.02
F(-1.09) = -0.0872 + 4.02
F(-1.09) = 3.9328
Thus, the required values are F(12.6) = 5.028 and F(-1.09) = 3.9328 for the given function.
Learn more about the function here:
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when Larissa's watch is fully charged, it can last for up to 20 hours before running out of battery. It has been 12 hours since Larissa's watch was fully charged. Write an inequality to describe the situation, then complete the sentence
Answer:
x + 12 ≤ 20 x=8
Step-by-step explanation:
Since Larissa is able to use it up for 20 hours and she has been using it for 12 hours now so add 12 with 12 and 20 with 12 then subtract the sum from the added numbers and you will get 8
So Larissa has 8 hours left on her watch before it needs to charge
Jordan has a checking account. he withdrew $90 from an ATM Tuesday. Thursday he deposited $20. Friday he wrote a check for $15 what was the total change in Jordan account
Answer:
The total change in his account is of -$85, that is, a loss of $85
Step-by-step explanation:
We combine these changes. So
On Tuesday, he withdrew $90 from his account, which means that, the total change, initially of $0, is now of -$90.
On Thusday, he deposited $20, which means that the total change of -$90 is now of -$90 + $20 = -$70
On Friday, he wrote a check of $15, removing 15 from his account, which means the total change will be of -$70 -$15 = -$85
PLEASE HELP ME ILL GOVE BRAINLY OR WHATEVER
?
What is the y-intercept of f(x) =(1/4)^x
a. (0,1)
b. (0,0)
c. (1,0)
d. (1, 1/4)
Answer:
(0,1)
Step-by-step explanation:
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21 X 372
Try to find the answer
Answer:
7812 is what i got
Answer:
7812
Step-by-step explanation:
brainliest plzzzzzz
What is the perpendicular slope of m=0?
Answer: The slope of a line perpendicular to a line with a slope of 0 is undefined. The perpendicular line is a vertical line. A line with a slope of 0 is a horizontal line.
Step-by-step explanation:
