Answer:
Simplified: 9 2/3
Step-by-step explanation:
Convert the mixed numbers into improper fractions
To do this, multiply the denominator by the whole number and add the numerator: (denominator × whole number + numerator)/denoninator
First fraction:
5 11/12
(12 × 5 + 11)/12
(60 + 11)/12
71/12
Next fraction:
3 9/12
(12 × 3 + 9)/12
(36 + 9)/12
45/12
Substitute these fractions in the original problem now:
71/12 + 45/12
Add the numerators only. The denominators stay the same.
(71 + 45)/12
116/12
Now that the calculations are done, convert this back into a whole number
How many times does 12 fit into 116 equally? If you answered 9 times, then you are correct. This 9 will sit as the whole number in the fraction
12 × 9 = 108
This doesn't equal 116 perfectly so we must find the left over
116 - 108 = 8 left over (which is used as the numerator)
9 8/12
If your class or problem asks that you simplify your answer, then look at both the numerator and denominator to determine any common factors within them
8 and 12 both have common factors of 2 and 4
Since 4 is the bigger number, divide both 8 and 12 by 4 to simplify your answer
9 2/3
"The sum of 4 and a number, divided by 2 is less than -6."
Answer:
[tex]\frac{4+n}{2} < -6[/tex], n < -16
Step-by-step explanation:
To write this into an inequality you need to recognize keywords. The first keyword is "sum" this means the two numbers must be added; so the first part of the inequality is 4+n. Then, it says the sum is "divided by" 2; this means both numbers must be put over two like [tex]\frac{4+n}{2}[/tex]. Finally, this is "less than" negative. Therefore, this must be an inequality with a sign opening towards -6. So the final answer is [tex]\frac{4+n}{2} < -6[/tex].
To solve the inequality isolate the variable. Multiply both sides by 2, so the new inequality is [tex]4+n<-12[/tex]. Next, subtract 4 from both sides. The answer is n < -16.
[4 ×{ 3 - ( 2- 1/3 )}]
25 points plus brainliest This is language art
Answer:
Its blurry and I can't see
Calculate the rate per litre at which a car uses petrol,if it uses 20l of petrol to travel 180 km
Answer:
1 L of petrol is used to travel 9 km.
Step-by-step explanation:
You can find the answers through the ratio method
20 L : 180 km
1 L : x
( x is the number we must find )
20 x = 180
x =
x = 9 km
What percent of 74 is 13.6? Write your answer to the nearest tenth.
Answer:
18.37 is the answer so it should be 18.4
Step-by-step explanation:
Find a linear equation to solve for the following unknown quantities: One number is three more than twice another number. If the sum of the two numbers is 36, what are the numbers?
james has a recipe that calls for 6 cups of sugar he wants to use only 1/2 of the recipe today how much sugar will he need do you multiply or divide
answer:
he would use 3 cups of sugar and would need to multiply
step-by-step explanation:
since he only wants 1/2, we would multiply by the original amount6 X 1/2 = 3 cups of sugar
What is the value of this expression when c = -4 and d = 10
Answer:
B: 9
Step-by-step explanation:
First plug in the numbers to the equation
[tex]\frac{1}{4} (c^{3} + d^{2})[/tex]
[tex]\frac{1}{4} (-4^{3} + 10^{2})[/tex]
Then use PEMDAS to solve
[tex]\frac{1}{4} (-4^{3} + 10^{2})[/tex]
[tex]\frac{1}{4} (-64 + 100)[/tex]
[tex]\frac{1}{4} (36)[/tex]
9
Find the solution of the system of equations.
6x + 2y = 16
2x - =
2y = 32
Answer:
x=6 and y=−10
Step-by-step explanation:
You can also solve this system by elimination.)
6x+2y=16;2x−2y=32
Step: Solve6x+2y=16for x:
6x+2y+−2y=16+−2y(Add -2y to both sides)
6x=−2y+16
it's proceeds
Can anyone help me please
Answer:
4x-8=2x+4
x=6
Step-by-step explanation:
fyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
Standard Form:
80.92
Expanded Form:
80 + 0 + 0.9 + 0.02 = 80.92
Standard Form:
67.03
Expanded Form:
60 + 07 + 0.0 + 0.03 = 67.03
Hope its correct :)
Answer:
what they said
Step-by-step explanation:
Each bracelet needs 7_2/3 inches of string. If Samantha is making 4 bracelets, how many inches of string does she need?
Answer:
30.667 inches of string
Step-by-step explanation:
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webwork / W2021math267 / assignment_3_power_series_and_taylor_series / 8
rses
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signment 3
wer Series and
lor Series
Assignment 3 Power Series and Taylor Series: P
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Problem 8
ettings
cos(4x2) - 1
(1 point) Let f(x) =
Evaluate the 10th derivative of f at x = 0.
x2
Problems
f(10)(0) =
Hint: Build a Maclaurin series for f(x) from the series for cos(x).
1
2
3
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The faculty of a certain four-year college consists of 179 teachers. There are 663 first-year students. The student-to-faculty ratio for the entire college is 15 to 1. What is the total number of second-, third-, and fourth-year students?
A 1,989
B 2,022
C 2,652
D 2,685
Find the mean, median, mode, and range of these numbers 75,95,90,95,60,95,75,95,90
Answer:
Mean=85.56, median=90, mode=95 and range=35
Step-by-step explanation:
To calculate the mean is the same as the average value in a data set. Median is data value separating the upper half of a data set from the lower half. The median is the data value separating the upper half of a data set from the lower half. The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number from the largest number.
Cual es la razón de 3:4
PLEASE ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST THANK YOU
Answer:
11 cows and 6 ducks
Step-by-step explanation:
The amount C in grams of carbon-14 present in a certain substance after t years is given by
C = 52e-0.0001097
a. What is the initial amount of carbon-14 present?
Answer:
987e-628479.9079083
Step-by-step explanation:
Answer:
maybe 7
Step-by-step explanation:
In order to avoid power failures due to falling limbs and down trees, power companies will intentionally kill trees growing near their lines. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 25% of elm trees. The power company tests the chemical on 300 elms. Consider these an SRS from the population of all elm trees.
A) What are the mean and standard deviation of the proportion of trees that are killed?
B) Is it okay to use normal calculations for this problem? Explain.
C) What is the probability that at least 26% of the sample is killed?
Answer:
a)
Sample mean p = 25% = 0.25
standard deviation σ = 0.025
b)
YES, it okay to use normal calculations for this problem since the sample size is 300, hence np>10 and nq>10
so the conditions satisfied for normal approximation/calculations
c) the probability that at least 26% of the sample is killed is 0.6554
Step-by-step explanation:
Given the data in the question;
Suppose that one such chemical would kill 25% of elm trees. The power company tests the chemical on 300 elms
sample size n = 300
a) What are the mean and standard deviation of the proportion of trees that are killed?
Sample mean p = 25% = 0.25
standard deviation σ = √( pq / n ) = √( (0.25 × (1 - 0.25)) / 300 )
σ = √( (0.25 × 0.75) / 300 )
σ = √( 0.1875 / 300 )
σ = √0.000625
σ = 0.025
standard deviation σ = 0.025
b) Is it okay to use normal calculations for this problem?
YES, it okay to use normal calculations for this problem since the sample size is 300, hence np>10 and nq>10
so the conditions satisfied for normal approximation/calculations
c) the probability that at least 26% of the sample is killed
Now we are to find
P( P < 0.26 )
since its a normal approximation, we can convert p to z
so
P( P < 0.26 ) = P( Z < ( x-p / σ )
P( P < 0.26 ) = P( Z < ( 0.26-0.25 / 0.025 )
= P( Z < (0.01 / 0.025) )
= P( Z < 0.4 )
form z score table; P( Z < 0.4 ) = 0.6554
so
P( P < 0.26 ) = 0.6554
the probability that at least 26% of the sample is killed is 0.6554
Please help ! I don’t get it!
Answer:
PR = 16
SR = 12
Step-by-step explanation:
6/8 = (x-3)/(x+1)
8x-24 = 6x+6
simplify
2x = 30
x = 15
PR = 15 + 1 = 16
SR = 15 - 3 = 12
Helllllpppp please
Help
Answer: it is B "67%"
Step-by-step explanation:
If you take 100% of the population and subtract 33% you will end up with an ending product of 67%
Help me please thanks
Answer:
Step-by-step explanation:
you have a right triangle
to find the missing length(x) you will use
a^2+b^2=c^2
where c is the hypotenuse
49^2=25^2+x
x^2=49^2-25^2=2401-625=1776
x=[tex]\sqrt{1776}[/tex]=42.1
Answer:
fguiio0wasiswillandandisandiswas747andtheinthatisthattheisandintheandthatisand8thethehaiandinis66Consider the following incomplete mapping diagrams.
Part A: Complete Diagram A so that it is a function.
Part B: Is it possible to complete Diagram B so that it is NOT a function? If so, complete the diagram to show a relation, but not a function. If not, justify your reasoning.
Part C: Is it possible to complete the mapping diagram for Diagram C so it represents a function? If so, complete the diagram to show a function. If not, justify your reasoning.
Answer:
a
Step-by-step explanation:
Statistics Question. Use the Desmos graphing calculator to find the least-squares regression line for the dataset in the table:
Given:
The table of values.
To find:
The least-squares regression line for the data set in the table by using the desmos graphing calculator.
Solution:
The general form of least-squares regression line is:
[tex]\hat{y}=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
By using the desmos graphing calculator, we get
[tex]m\approx 2.55,b\approx -6.435[/tex]
Substitute these values in (i).
[tex]\hat{y}=(2.55)x+(-6.435)[/tex]
[tex]\hat{y}=2.55x-6.435[/tex]
Therefore, the correct option is A.
The graph of regression line is attached below.
The equation of regression line is [tex]y=2.55x-6.435[/tex]
Equation of regression line:A graphing calculator is a calculator device that has the ability to display plotted graphs for complex equations.
First we have to enter the given table in graphing calculator,
After entering the data given into table,
We get, m= 2.55 and b= -6.435
So that, the equation of regression line is [tex]y=2.55x-6.435[/tex]
Learn more about the regression line here;
https://brainly.com/question/26059078
A student graduated from a 4-year college with an outstanding loan of
$9650 where the average debt is $8455 with a standard deviation of $1865. Another student
graduated from a university with an outstanding loan of $12,360 where the average of the outstanding
loans was $10,326 with a standard deviation of $2143. Which student had a higher debt in
relationship to his or her peers?
Answer:
University student has more debt
Step-by-step explanation:
9650-8455/1865 =0.64 College student
12360-10326/2143 =0.95 University student
Hopefully this helps
Which statement is true?
D
Show Your Work
A The greatest common factor of 10 and 14 is 5
B. The greatest common factor of 10 and 15 iss.
C. The greatest common factor of 13 and 21 is 3
D. The greatest common factor of 14 and 21 is 3
8. Which situation is best modeled by an exponential function?
A The number of mold spores on a loaf of bread, if the amount of mold is quadrupling every 5 days.
B. The amount of tip a person will leave if he or she tips 20% of a food bill.
C. The value of a baseball card that is decreasing by $0.75 every 4 years.
D. The cost to purchase salmon that costs $8.99 per pound.
If answered soon i will give brainliest
Answer:
C. The value of a baseball card that is decreasing by $0.75 every 4 years.
Step-by-step explanation:
The exponential function would represent a mathematical function in the form of f(x) = a^x
where
x denotes the variable
a denotes the constant
So according to the given options, the option C would represent the exponential function
Hence, the option c is correct
1. Complete the table below to show the dimensions of
the figure if it is enlarged or reduced by the scale factor.
PLEASE HELP I Need This done now for homework
Answer:
I really want to help but I cant
Round 5.23 to the nearest tenth.
Answer:
The answer is 5.20
Step-by-step explanation:
Since the tenth place is lower than 5 it stays the same
Can someone please Solve x^2+2x -3 =x^2
The answer i worked out is x=3/2