Answers
Answer:
C, 33 1/3%
Step-by-step explanation:
Because there are only two even number that follow this rule: 2<x≥6, and since there are only 6 possible outcomes, the probabilty is 2/6, which is 1/3. In a percent form, this is 100%*2/3, or 33 1/3%.
Related Questions
Question
Find the third degree polynomial function that has an output of 320 when x = 4, and has zeros 2 and
-8i
Answers
Answer:
[tex]f(x)=2(x-2)(x^2+64)[/tex]
Step-by-step explanation:
A standard polynomial in factored form is given by:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where p and q are the zeros.
We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.
First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.
Therefore, we acquire:
[tex]f(x)=a(x-(2))(x-(-8i))(x-(8i))[/tex]
Simplify:
[tex]f(x)=a(x-2)(x+8i)(x-8i)[/tex]
Expand the second and third factors:
[tex]=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64[/tex]
Hence, our function is now:
[tex]f(x)=a(x-2)(x^2+64)[/tex]
It equals 320 when x = 4. Therefore:
[tex]320=a(4-2)(4^2+64)[/tex]
Solve for a. Evaluate:
[tex]320=(2)(80)a[/tex]
So:
[tex]320=160a\Rightarrow a=2[/tex]
Our third-degree polynomial equation is:
[tex]f(x)=2(x-2)(x^2+64)[/tex]
Answer:
f(x)=2(x-2)(x^2+64)
Step-by-step explanation:
Help please someone please
Answers
Answer:
i dont know im just doing this for the points
On a map, the distance of two inches is equal to ten miles. How many
miles does 4 inches represent on the map?
10
20
30
40
Answers
PLS HELP ASAP IM RUNNING OUT OF POINTS PLSS
Answers
Answer:
x = 35°
Step-by-step explanation:
180 - (40+40) = 2x+30
180 -80 = 2x+30
100 = 2x+30
2x = 100-30
x = 70/2
x = 35°
Determine which lines, if any, are parallel? Explain.
PLEASE PLEASE HELP ME ASAP
Answers
Answer:
The 2 on the right because they don't cross and they are straight
Step-by-step explanation:
I need help please help
Answers
Answer: 25.12
Step-by-step explanation: good luck
Last year, Jason's average in math was a 72. This year, his average is a 90. What is the percent increase in Jason's grade?
Answers
Answer:
20% increase
Step-by-step explanation:
All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20
g(x) = 2x
Find g(g(-3))
Answers
Let event A = The animal is a bird
Let event B = The animal can fly.
Which outcomes are in A and B?
A. {penguin, robin, sparrow, pelican, bat)
OB. {robin, sparrow, pelican}
O C. (penguin, robin, sparrow, pelican}
O D. (robin, sparrow, pelican, bat)
Answers
Answer:
B. {robin, sparrow, pelican}
Step-by-step explanation:
hope it helps you...
The outcomes are in A and B is,
⇒ {robin, sparrow, pelican}
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Let event A = The animal is a bird
Let event B = The animal can fly.
Hence, We get;
The outcomes are in A and B in which animal is a bird and also can fly.
Thus, The outcomes are in A and B is,
⇒ {robin, sparrow, pelican}
Hence, The outcomes are in A and B is,
⇒ {robin, sparrow, pelican}
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
45633 seconds en heures minutes et seconds
Answers
Higher Order Thinking a carpenter plans to extend the length of rectangular desk by 7 feet. Let x represent the desk's original length. The expression 96 + 7) represents the area of the desk surface where 9 is the width, in feet, and () represents the extended length, in feet, of the desk. The carpenter thinks that the area of the extended portion of the desk is 16 square feet Which choice below includes the expanded form of the area expression for the deck's surface and the correct area of the extended portion of the desk's surface?
a. 10x + 16 and 10k square feet
b. 9x+63 and 9x square feet
c. 9x + 7 and 7 square feet
d. 9x + 63 and 63 square feet
Answers
Answer:
d. 9x + 63 and 63 square feet
Step-by-step explanation:
Given
Original
[tex]Length = x[/tex]
[tex]Width = 9[/tex]
Extended
[tex]Length = x + 7[/tex]
[tex]Width = 9[/tex]
[tex]Area = 9(x + 7)[/tex]
Required
Determine an expression and the value of the extended area
First, we calculate the area of the original desk
[tex]A_1 = x * 9[/tex]
[tex]A_1 = 9x[/tex]
From the given parameters, we have:
[tex]Area = 9(x + 7)[/tex] --- area of the new surface
Open bracket
[tex]Area = 9x + 63[/tex]
The area of the new surface is the summation of the area of the original desk and the area of the extended portion (E)
So:
[tex]Area = A_1 + E[/tex]
Make E the subject
[tex]E= Area - A_1[/tex]
[tex]E= 9x + 63 - 9x[/tex]
[tex]E= 63[/tex]
Hence, the area of the extended portion is 63
A hipopótamos weight 1.5 tons what is its weight in ounces
Answers
Answer:
48000
Step-by-step explanation:
multiply the mass value by 32000
Answer:
48000
Step-by-step explanation:
.
20 POINTS!!!! PLEASE HELP ME!!!!!!
Please do not tell me the answer tell me how to do it with showing my work
Answers
Answer:
Step-by-step explanation:
a)
2.64÷3.3 ( said 2.64 divided by 3.3)
3.3√2.64 ( yes I know it's not the division sign but it's as close as we can get)
2.64 / 3.3
All three representations are the same. each say divide 2.64 by 3.3. If you're thinking that last one looks more like a fraction, you're right, but.. that's also what that means. I'm showing these different ways to express the idea of division b/c it's part of what is involved with showing the work and understanding it.
so, to do the above let's move the decimal point to the right .. and do we want to move it one or two places. :? one because of 3.3 or two , because of 2.64, well we want to move it so we don't have to think about it in the problem... so move it the biggest amount that you need to, get the the decimil out of both numbers.. since the 2.64 needs two moves to the right of the decimal... use 100 times to move it 2 places, If you needed 3 then use 1000, 4 , 10,000 ect ect... see the pattern?
so
100(3.3 √ 2.64 )
move the decimal point in both 2 places right
330.0 √ 264.0
I put the extra zeros in, just so you can see the decimal easy. The zeros to the right of the decimal make no difference here.
now I'll know to put the number that I use to divde with above the zero, of 264.0 .. and i'll think about how many times 3 goes into 26 ,without going over. 3*8 = 24 so I want an 8
↓ ← ← ← 0.8
330.0 √ 264.0 ( multiply 8 * 330 = 2640 )
↓ → -264 .0 ( subtract 2640 from the number above )
0
you are done with that one, since there is zero left over and 0.8 is the answer
b)
0.324 ÷ 0.27
0.27 √ 0.324
0324 / 0.27
1000( 0.27 √ 0.324)
270 √ 324.0
↓ ← ← 1.2
270 √ 324.0
↓→ - 270 ( multiply by the 1 )
↓ = 54
↓→ - 540 (multiply by the 2 )
0
since there is zero left over you are done. The answer is 1.2
C)
0.32 ÷ 0.16
0.16 √ 0.32
100(0.32 / 0.16)
↓ ← 2
16 √32
↓→ -32 ( multiply 16 * 2 = 32 )
0
zero left over you are done. the answer is 2 :)
d)
16.92 ÷ 9.4
9.4 √ 16.92
100(16.92 / 9.4)
↓ ← ← 1.8
940 √1692.0
↓→→ - 940 (multiply by 1 )
↓ 7520
↓→ - 7520 (multiply by 8 )
0
since there is zero left you are done, The answer is 1.8
that was a lot, really nobody has talked or told you how to do this before?
where is your teacher? :/
WILL GIVE BRAINLIEST
Answers
Answer:
[tex]\sqrt{65}[/tex] is the closest to 8
Step-by-step explanation:
[tex]\sqrt{61}=7.81 \\\sqrt{66}=8.12 \\\sqrt{65} =8.06\\\sqrt{62} =7.87[/tex]
A school buys 1,950 pencils. The pencils are sold in boxes, with 30 pencils in each box. If each box costs $4.05, what is the total cost, in dollars, that the school will pay for the pencils?
Answers
1950/30=65 boxes
Cost of 1 box is =4.05
The cost of 65 boxes=4*65=263.5
Here is a circle. Points A, B, C, and D are drawn, as
well as Segments AD and BC.
D.
What is the area of the circle, in square units?
Answers
A=pi*4^2
A=50.24 square units
Hope it helps
Consider the parabola given by the equation: f(x) = 2x2 + 14.0 – 4
Find the following for this parabola:
A) The vertex:
B) The vertical intercept is the point
C) Find the coordinates of the two z intercepts of the parabola and write them as a list, separated by
commas:
It is OK to round your value(s) to to two decimal places.
Answers
Answer:
Step-by-step explanation:
f(x) = 2x² + 14x - 4
= 2(x² + 7x) - 4
= 2(x² +7x + 3.5²) - 2(3.5²) - 4
= 2(x+3.5)² - 28.5
vertex (3.5, -28.5) = (7/2, -57/2)
The vertical intercept is the y-intercept, i.e., f(0) = -4.
The x-intercepts are the values of x for which y=0.
2x² + 14x - 4 = 0
x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27
With a capacity of 6,300 people, Royal Caribbean’s Oasis of the Seas is the world’s largest cruise ship. The average beer consumption over 35 randomly selected seven-day cruises on the ship was 81,740 bottles. From historical data you know that the population standard deviation of beer consumption is 4,590 bottles. Royal Caribbean would like to estimate the average beer consumption to plan its beer inventory levels on future cruises. (The ship certainly doesn’t want to run out of beer in the middle of the ocean!)
A. Construct a 95% confidence interval to estimate the average beer consumption per cruise.
B. Verify this interval using excel.
C. What assumptions need to be made about this population?
Answers
Step-by-step explanation:
Mean = 81740
Standard deviation = 4590
Sample size = 15
Alpha level = 1-0.95 = 0.05
Df = 15-1 = 14
Critical value:
alpha/2 = 0.05/2 = 0.05
t0.025
t critical value = 2.145
Margin of error ME
2.145 x 4590/√15
2.145 x 4590/3.873
ME = 2542.09
Confidence interval
Lower CI = mean - ME
= 81740-2542.09
= 79197.91
Upper CI = mean + ME
= 81740+2542.09
= 84282.09
[ 79197.91, 84282.09]
B.
Using excel, exact answer for CI
Lower limit = 79198.142724212173
Upper limit = 84281.8572757827
C.
The assumptions to be made from the population are that
1. Samples are random
2. These samples are gotten from an approximately normal distribution
A boy standing on a vertical cliff, observed two buoys in line with him, whose angles of depression are 19 degrees and 26 degrees. If the distance between the buoys is 222m, find the height of the cliff
Answers
Decide whether each statement is true or false. If a statement is true, say which of Euclid’s five postulates apply to it, then write the converse and contrapositive statements, and then decide which of these statements are true (it may help to rewrite the statements in “if-then” form). If it is false, give a counterexample or explain why.
a. A triangle can be drawn from any three points that are not on the same line.
b. A square can be drawn from any four points not on the same line.
c. When two lines intersect, the four angles they make add to 360 degrees.
d. There is only one parallel line to any given line.
Answers
Answer:
A) True
B) False
C) True
D) False
Step-by-step explanation:
A. This statement is True.
From euclid's postulates, if there are three straight lines that intersect each other another, and the sum of the interior angles formed between one of the straight lines and the other two straight lines is less than 180°, then it can be said that the other two straight lines will cross each other if they are both further extended on the same side of the figure in which the sum of the angles was less than 180° as we earlier said.
The converse statement is;
If three lines are drawn and two of the lines converge, then it means the third line can be drawn in such a way that the sum of the interior angles between this third line and the other two lines would be less than 180°.
The contrapositive statement is;
If the sum of the interior angles between the first line and the other two lines equals 180°,then it means that the other two lines will not intersect each other.
B. This statement is false.
The reason is because 4 sides of a square are always equal in length. As a result,all the 4 interior angles must be equal to 90°.
c. This statement is True.
From the first answer above, we saw that if there are three straight lines that intersect each other another, the sum of the interior angles formed between one of the straight lines and the other two straight lines is less than 180°.
Therefore, on the opposite side of the intersection, the sum of the adjacent angles would be equal to 180°
Thus;
180° + 180° = 360°
The converse statements is;
If two lines meet at a point then it means that the sum of the angles at that point equals 360°
The contrapositive statements is;
If the two lines do not meet at any point, then the sum of the angles on each straight line is 180°
d. This statement is False.
The reason is because there is not only one parallel line to any given line because a parallel line can be drawn from aso many points not even on the line in question.
5 members or 20% of the math league did not come to the meet. how many total members are there
Answers
5 = (20%) x (total)
5 = (0.20) x (total)
Divide each side by (0.20):
Total = (5 / 0.20)
Total = 25
When a trucker opens the back of a truck filled with candy bars,
he sees a wall 9 cartons high and 6 cartons wide with no room
left over. How wide is the back of a candy company truck?
Answers
Answer:6 cartons wide
Step-by-step explanation:
It is 6 cartons wide due to the fact that there is no room left over. Awnser achived through text.
2. Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given root.
4 - 5i
Answers
Answer:
p(x) = x^2 - 8x + 41
Step-by-step explanation:
If a polynomial with rational coefficients has a complex root, then the roots come in complex conjugate pairs. If the polynomial we need to find has the root 4 - 5i, then it must also have its complex conjugate 4 + 5i as a root.
p(x) = [x - (4 - 5i)][x - (4 + 5i)]
p(x) = [(x - 4) + 5i][(x - 4) - 5i]
Now it's a difference of two squares.
p(x) = (x - 4)^2 - (5i)^2
p(x) = x^2 - 8x + 16 + 25
p(x) = x^2 - 8x + 41
Write an equation of the line that passes through (-2, 0) and is perpendicular to the line y=-1/3x+3
Answers
Slope of y = -⅓x + 3 is -⅓ (on comparing with m of y = mx + c)
As the required line is perpendicular to this, slope of the required line = - 1 / (-⅓) = 3
Equation:
=> y - y1 = m(x - x1)
=> y - 0 = (3)(x - (-2))
=> y = 3(x + 2)
=> 3x - y + 6 = 0
Carl has 50 apps on his phone. Of these apps, 12 are music apps. What percent of Carl’s apps are music apps?
AANNSSWWEER
AASSAAPP
Answers
Answer:
12 50 I don't know
Step-by-step explanation:
calculate the actual sales since the sales tax were rung up together. assume sales tax of 6% and total sales of $27,000. What is the actual sales? ( round your answer to the nearest cent.)
Answers
Answer:
$25471.7
Step-by-step explanation:
1.06*25471.7=27000.002
Hope this helps
Can someone help me plsssss
Answers
Answer:
Sorry I don't know this.
Step-by-step explanation:
Answer:
wheel: radius=3/2 diameter=3 circumference=3pi
propeller: radius=24 diameter=48 circumference=48pi
orange: radius=10/pi diameter=20/pi circumference=20
Step-by-step explanation:
work out the circumference of this circle
give your answer in terms of pi and state its units
14cm
Answers
Answer:
43.96
Step-by-step explanation:
Well, the first step is finding out the diameter. And then the basic outline is d x 3.14. So I simply just punched in 14 x 3.14 in my calculator.
Answer:
14π cm
Step-by-step explanation:
Circumference of the circle
= 2πr
= 2π(14/2)
= 14π cm
Pls hurry I need an instant answer ASAP! Thank you
Answers
Answer:
A= -2
Step-by-step explanation:
Hope I helped!! Negitive 2
Please help me in ASAP
Answers
Step-by-step explanation:
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Pass:HELLO
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