An arithmetic sequence is described by the formula f(n)=128+15(n−1). Find f(12).
Answer:
Step-by-step explanation:
Putting value of n = 12
f(12) = 128 + 15(12 - 1)
= 128 + 180 - 15
= 293
There are 7 yellow marbles, 6 blue marbles, 5 green marbles and 3 red marbles. What is the probability of drawing a red and then a blue marble
WITHOUT replacement?
Answer:
3/70
Step-by-step explanation:
P(R,B) no replacement: 3/21 x 6/20 = 1/7 x 3/10 or 3/70 reduced
3 A headline misreported
that 95% of students
purchased books for
class. By how many
percentage points was
the headline off?
The headline was off by 5 percentage points.
What is percentage ?
Percentage is a way of expressing a fraction or ratio as a number out of 100. It is a common way of measuring quantities or values that are relative to a whole. For example, if there are 100 students in a class, and 75 of them passed an exam, we can say that the pass rate is 75%, which means that 75 out of 100 students passed the exam.
To calculate a percentage, we can use the formula:
Percentage = (Part / Whole) x 100%
According to the question:
If the actual percentage of students who purchased books for class was different from the reported percentage of 95%, we can find the difference between the two percentages to determine how many percentage points the headline was off.
Let's say the actual percentage of students who purchased books for class was x%. Then the difference between the actual percentage and the reported percentage is:
Difference = |Reported percentage - Actual percentage|
Difference = |95% - x%|
For example, if the actual percentage was 90%, then the difference would be:
Difference = |95% - 90%|
Difference = |5%|
Difference = 5%
This means that the headline was off by 5 percentage points.
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Find the value of x to the nearest tenth. In a triangle, one angle is 46 degree and second angle is 20 degree. The adjacent side of 46 degree angel is 7 and opposite side is x.
The value of x in the triangle is approximately 7.2 to the nearest tenth.
To determine the value of x in the triangle, we can use the trigonometric ratio of tangent (tan).
We are Given that one angle of the triangle is 46 degrees and the adjacent side to this angle is 7, we need to find the length of the opposite side (x).
The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.
tan(46°) = x/7
Take the tangent of both sides of the equation:
tan(46°) = x/7
Multiply both sides by 7 to isolate x:
7 x tan(46°) = x
Use a calculator to find the tangent of 46 degrees:
tan(46°) ≈ 1.0355
Multiply 7 by the approximate value of the tangent:
7 x 1.0355 ≈ 7.249
Rounding the value of x to the nearest tenth, we find that x ≈ 7.2.
Therefore, to the nearest tenth, the value of x in the triangle is approximately 7.2.
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The value of x to the nearest tenth is approximately 5.0.
To find the value of x, we can use the trigonometric relationship of the sine function in a right triangle. In this case, we have an angle of 46 degrees and the opposite side x.
The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse. However, in this case, we don't know the length of the hypotenuse, but we can still find the value of x using the adjacent side.
Let's label the angle of 46 degrees as A, the adjacent side as B, and the opposite side as C.
sin(A) = C / B
sin(46°) = x / 7
To find the value of x, we can rearrange the equation:
x = 7 * sin(46°)
Using a calculator, we can evaluate sin(46°) and calculate the value of x:
x ≈ 7 * 0.7193
x ≈ 5.0351
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The college dean obtains an alphabetical list of full-time students at her college and she selects the 26 names on that list and interviews those students to find them. Amount of student debt incurred by each of them. She uses the results to estimate the average (mean) amount of student debt incurred by college students in the united states. What type of sampling is used?
Answer:
The right approach is "Systematic sampling".
Step-by-step explanation:
Some kind of probabilistic sampling system where population or sampling units from some kind of broader group have been randomly chosen, although at a predetermined periodic interval, is termed as Systematic sampling.Where there would be a moderate possibility of information manipulation, it's indeed better to simply such samples.When Jennifer and Tom visit another country, they find two types of coins are used there, one with a Q on it and one with an E on it. Jennifer has 13 Q coins and Tom has 5 Q coins and 7 E coins. If Jennifer's coins have a total value of $0.65 and Tom's coins have a total value of $3.75, what is the value of each type of coin?
Answer:
q = $0.05
e = $0.5
Step-by-step explanation:
13q = 0.65 equation 1
5q + 7e = $3.75 equation 2
in equation 1, divide both sides of the equation by 13
q = 0.65 / 13 = 0.05
Substitute for the value of q in equation 2
5(0.05) + 7e = 3.75
0.25 + 7e = 3.75
collect like terms
3,75 - 0.25 = 7e
3.5 = 7e
e = 0.5
If a1=10 and an An-1 + 4 then find the value of
05.
Answer:
26
Step-by-step explanation:
Just put n = 5 and substitute
Then a5 = a4 + 4 = a3 + 8 = a2 + 12 = a1 + 16 = 26
The discriminant of the function f(x) = 2x2 – 3x + 3 is -15.
What is true about the function?
Answer:
The function has two unequal, complex roots
Step-by-step explanation:
Because the discriminant is negative, the function has two unequal, complex roots.
What is the area of sector GPH?
The area of sector GPH is
=____square yards.
Answer:
sector GPH = 16π yd²
Step-by-step explanation:
area of full circle = πr² = (π)(12²) = 144π yd²
area of 40° segment = (40/360)(144π) = 16π yd²
Mary bought a bag of parsnips that weighed 2 1/4 pounds. She also bought a bag of turnips that weighed 3 times as much as the parsnips. How many pounds of turnips did Mary buy?
Step-by-step explanation:
2 1/4 is improper fraction, because it's 21/4. To simplify;
21/4 = 21/4
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.
21/4 = 5 1/4
With 21/4 simplified into 5 1/4, you would then do 5 1/4•3 which would be;
15.75
Conlusion/Answer:
Mary bought 15.75 pounds of turnips.
Please helpp!! (30 POINTS)!!!
Answer:
b
Step-by-step explanation:
11+11+10+10=42cm
A company's flexible budget for 12,500 units of production showed sales, $50,000; variable costs, $20,000; and fixed costs, $15,000. The operating income expected if the company produces and sells 15,000 units is:
Answer: $21000
Step-by-step explanation:
First, we calculate the contribution margin which will be:
=Sales - Variable cost
= $50,000 - $20,000
= $30,000
Therefore, the contribution margin per unit will then be:
= $30,000 / 12500
= $2.4 per unit
The operating income will be the difference between the total contribution margin and the fixed cost. This will be:
The total Contribution margin will be:
= $2.4 × 15000
= $36000
Fixed costs = $15000
Operating income = $36000 - $15000
= $21,000
Johnny can build 3 1/2 lego planes in 60 minutes. How many can he build in 40 minutes?
the answer needs to be a mixed fraction
2 1/3 Lego planes every 40 minutes
another one! please help ..
Answer:
n has to be negative
Step-by-step explanation:
To solve this equation, 15 has to be subtracted from 2 which is negative
Since n is positive then the overall result will be negative
B=cos-1(16) as a decimal
which of the following is true about the expression √3*√12
evaluate functions from their graphs
Answer:
what graphs i don't see any
Step-by-step explanation:
?????
The rectangular prisim below has a total surface area of 158 in use the net to determine the missing dimension
Answer:
The problem seems to be incomplete, after an online search I couldn't find the complete question, to be able to solve the question, I will assume that the known measure is the width W.
For a rectangular prism of length L and width W, the surface area is calculated as:
S = W*L
For the assumption we took, we have:
W = 39.5ft
And we also know that S = 158 ft^2
And we want to find the missing dimension, in this case is L, then we need to solve:
158 ft^2 = W*L
We just need to divide both sides by the known measure, W
We get:
(158 ft^2)/W = L
So you just need to replace the known value, and can find the missing one.
PLEASE HELP 50 POINTS
The angle measurements in the diagram are represented by the following expressions.
Answer:
30°Step-by-step explanation:
A and B are same side interior angles and hence supplementary:
m∠A + m∠B = 180°Substitute values and solve for x:
6x - 18 + 14x + 38 = 18020x + 20 = 18020x = 160x = 160/20x = 8Find the measure of ∠A:
m∠A = 6*8° - 18° = 30°3y to the power of two + 14y
Answer:
23y
Step-by-step explanation:
3y² + 14y
9y + 14y
23y
Answer: (3y+2)(y+4)
Step-by-step explanation:
3y^2 +14y
This question would factor to:
(3y+2)(y+4)
i need this answer asap (as soon as possible) i spelled it so the ones who dont know what asap means:/
Answer:
3 root 2, a
Step-by-step explanation:
goodluck on your test
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Jamie is going to pretend he is a race car and run around the outside of the track from point A to point B
How far is Jamie going to run?
A 471 feet
B 150 feet
C 540 feet
D 84 feet
The Answer Is 540 Feet.
Angle AB is 45% of 1,200, 1/2 of the full track.
Do 0.45x1,200=540.
Geraniums are $2.95 each. How much will 5 plants cost? (include 7% sales tax.)
A cook makes vegetable barley soup by mixing 2 pounds of barley into 7 quarts of vegetable broth. Assume that the cook continues to use the same rate to make more batches of soup. How many pounds of barley soup should the cook mix with 35 quarts of broth?
Answer:
10 lbs
Step-by-step explanation:
7 qts x 5 qts = 35 qts broth
2 lbs x 5 lbs = 10 lbs barley
Find the perimeter and area of the following shape using correct math
a. Perimeter =
b. Area =
Answer:
Area: 79.25
Perimeter:33.7
PLEASE CAN YOU HELP ME WITH THIS AND EXPLAIN
Answer:
sorry it's very long........
evaluate 5^28·5^-32·5^-4
A. 17,920
B. 0.017920
C. 0.000256
D. 0.00000256
Answer:
D 0.00000256
Step-by-step explanation:
[tex]5^{28} *5^{-32}*5^{-4}=5^{28-32-4}=5^{-8}=\frac{1}{5^{8}} =0.00000256[/tex]
Answer:
B. 0.000256
Step-by-step explanation:
5^28 . 5^- 32 . 5^ -4
= 5^( 28 - 32 - 4 )
= 5^( 28 - 36 )
= 5^- 8
= 1 / 5^8
= 1 / 390625
= 0.000256
Milton bought a bike that costs 84.21. THe sales tax rate is 6% How much did miltion pay for the bike altogether??
Answer:
$89.26
Step-by-step explanation:
Before Tax Price: $84.21
Sale Tax: 6.00% or $5.05
After Tax Price: $89.26
Please help, 25 points. Will mark brainliest if correct :)
Answer: The answer to this question is measure of angle DGE = 1/2 (measure of arc DGE - measure of arc DE).
Step-by-step explanation:
The formula for an angle outside of the arc can be written as measure of angle x is equal to the larger arc starting from the ends of the segments forming x subtracted to the smaller arc starting from the ends of the segments forming x divided by 2.