ANSWER
[tex]3{a}^{4 } [/tex]
EXPLANATION
The cube root of
[tex]27 {a}^{12} [/tex]
is
[tex] \sqrt[3]{27 {a}^{12} } [/tex]
This is the same as:
[tex](27 {a}^{12} )^{ \frac{1}{3} } [/tex]
[tex]( {3}^{3} ({a}^{4})^{3} )^{ \frac{1}{3} } [/tex]
[tex] = (3{a}^{4} )^{3 \times \frac{1}{3} } [/tex]
[tex] = 3{a}^{4 } [/tex]
A triangle has angles measuring 15 degrees and 45 degrees what is the measure of the 3rd triangle’s 3rd angle?
Answer:
60
Step-by-step explanation:
15+45-180
120-180
60
Side 3=60
Answer:
120
Step-by-step explanation:
15+45=60
180-60=120
FIRST CORRECT ANSWER GETS BRAINLIEST!! (Please don't rush to answer, I've gotten a lot of incorrect answers from people who answer within the minute)
Which table shows a proportional relationship between x and y?
Answer:
B
Step-by-step explanation:
y is 3 times the x
Answer:
B
Step-by-step explanation
1/3=3
6/2=3
12/4= 3
15/5=3
The scores on an exam are normally distributed, with a mean of 75 and a standard deviation of 5. What percent of the scores are less than 80?
A. 50%
B. 84%
C. 13.5%
D. 16%
Answer:
B. 84%
Step-by-step explanation:
Given
Mean= π=75
Standard Deviation= σ=5
As we have to calculate the percentage of score less than 80, we will find the z-score of 80
z=(x-μ)/σ
= (80-75)/5
=5/5
=1
The z-score table value for 1 is 0.8413.
For converting this value into percentage, the value will be multiplied by 100.
So,
Percentage of students whose score is less than 80 = 0.8413*100
=84.13%
Rounding off gives us : 84%
So option B is the correct answer..
In a lottery game, a player picks six numbers from 1 to 20. If the player matches all six numbers, they win 30,000 dollars. Otherwise, they lose $1.
What is the expected value of this game?
The expected value of the lottery game is -$0.62, suggesting a long-term average loss of 62 cents per game played. This value is calculated by considering the probability of each outcome and the associated gain or loss.
Explanation:In order to calculate the expected value of the lottery game, we must first understand what expected value truly represents. The expected value is essentially a description of the average outcome of a series of events if these events are repeated many times. It's a statistical concept used to predict the long-range behavior of random events, such as lottery games.
The expected value is calculated as the sum of all possible values each multiplied by the probability of its occurrence. For the lottery game described, there are two possible outcomes: a win of $30,000 or a loss of $1.
The probability of winning is extremely low. In this game, the player is attempting to choose the correct 6 numbers out of 20, which is a 1 in 38,760 chance. Whereas, the probability of losing is extremely high, practically 38,759 out of 38,760.
Thus, the Expected Value (E) can be calculated as follows: (probability of winning x winnings) + (probability of losing x loss). Plugging in our values gives us an expected value of -$0.62, rounded to the nearest cent. This figure indicates that if one were to play this game repeatedly, their average loss per game would be about 62 cents.
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A fast food restaurant sells burgers, chicken sandwiches, and entree salads. If a customer buys a burger, the probability they buy french fries is 0.80. Fifty percent of customers who purchase a chicken sandwich also buy fries, but only 10% of those buying an entree salad buy fries. Of all customers, 65% buy a burger, 20% a chicken sandwich, the rest buy an entree salad.
What proportion of customers get a burger and fries?
Answer:
52%
Step-by-step explanation:
We are told that, of all customers 65% buy a burger. This would imply that the proportion of customers who buy a burger is 0.65.
Moreover, if a customer buys a burger, the probability they buy french fries is 0.80. This implies that the proportion of customers who buy fries given that they bought a burger is 0.8.
Therefore, the proportion of customers who get a burger and fries is simply the product of the two probabilities;
= 0.65*0.8
= 0.52
Therefore, 52% of all customers get a burger and fries
Timothy's box holds 5 kilograms of magazines and 27 kilograms of books.What is the total mass of the magazines and books
Answer:
31
Step-by-step explanation:
Answer:
135
Step-by-step explanation:
you multiply 5 times 27 equals 135
Draw an angle of negative pie over three in
Standard position.
Check the picture below.
recall that negative angles go "clockwise".
Select the three sums equivalent to 13/8.
Answer:
26/16, 39/24, 52/32
Step-by-step explanation:
Answer: can you give me answer choises so i can answer?
PLEASE HELP Which expression is equivalent? 8 − 5(3x − 7)
A) 15x + 43 B) 9x − 21 C) −9x + 21 D) −15x + 43
Which expression is equivalent? 6(2x + 3) − 4(5x + 2)
A) 8x + 10 Eliminate B) 8x − 10 C) −8x + 10 D) −8x − 10 Which is equivalent to the expression? 4(x + 5) + 4x + 8
A) 4(2x + 7) B) 5x + 17 C) 8(x + 4) D) 8x + 13
Answer:
Q1. D) -15x + 43Q2. C) -8x + 10Q3. A) 4(2x + 7)Step-by-step explanation:
[tex]Q1:\\8-5(3x-7)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=8-(5)(3x)+(-5)(-7)=8-15x+35=-15x+(8+35)\\=\boxed{-15x+43}[/tex]
[tex]Q2:\\6(2x+3)-4(5x+2)\qquad\text{use the distributive property}\\\\=(6)(2x)+(6)(3)+(-4)(5x)+(-4)(2)=12x+18-20x-8\\\\\text{combine like terms}\\\\=(12x-20x)+(18-8)=\boxed{-8x+10}[/tex]
[tex]Q3.\\4(x+5)+4x+8\qquad\text{use the distributive property}\\\\=(4)(x)+(4)(5)+4x+8=4x+20+4x+8\\\\\text{combine like terms}\\\\=(4x+4x)+(20+8)=\boxed{8x+28}=(4)(2x)+(4)(7)=\boxed{4(2x+7)}[/tex]
Please help me with probability!
What’s your question
The plate consists of 70 (7*10) squares with dimensions 1x1 square mm. Let [tex]w[/tex] be the number of white squares and [tex]b[/tex] the number of black squares. Then
[tex]b+w=70[/tex]
We're told there are 2 more black squares than white, so
[tex]b=2+w[/tex]
Then
[tex](2+w)+w=2+2w=70\implies1+w=35\implies w=34[/tex]
so there are 34 white squares and 36 black squares. The probability that Crystal is looking at a white square is
[tex]\dfrac{34}{70}=\dfrac{17}{35}[/tex]
which is a prime number 7 63 33 27
The answer is seven
you randomly choose a natural number from 1 to 20. what id the probability that you will choose 8 or a multiple of 4?
Answer:
20%
Step-by-step explanation:
The elements or numbers are 1,2,3,4....20
And the probability you looking for is 4 and 8...thus only two elements... Counting them individually out of the total elements... Hence this gives... 2/20=1/10
50+ POINTS AND BRAINLIEST! PLEASE BE CORRECT!
What is the surface area of the prism?
Answer:
=234 mm^2
Step-by-step explanation:
The surface area of a rectangular prism is given by
SA = 2 (lw +lh +hw) where l is the length, w is the width and h is the height
SA = 2 ( 15*3 + 15*4 + 3*4)
= 2( 45+60+12)
= 2(117)
=234 mm^2
Find the area of the trapezoid to the nearest tenth.
plz help :(
Check the picture below.
[tex]\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\ \cline{1-1} a=0.5\\ b=1.3\\ h=\frac{1.1}{\sqrt{2}} \end{cases}\implies A=\cfrac{\frac{1.1}{\sqrt{2}}(0.5+1.3)}{2} \\\\\\ A=\cfrac{~~\frac{1.1(1.8)}{\sqrt{2}}~~}{\frac{2}{1}}\implies A=\cfrac{1.98}{2\sqrt{2}}\implies A=\cfrac{0.99}{\sqrt{2}}\implies A\approx 0.7[/tex]
Mr. Ornelas needed to travel 400 miles to reach Chicago from his
home. He went to Chicago in 8 hours and came back at an average speed
of 52 miles per hour. Which part of his trip was faster and how do you
know?
Answer:
Driving to Chicago Driving Back
d=rt
400/8=r(8)/8
r=50 mph < r= 52 mph
Step-by-step explanation:
suppose a triangle has sides a,b, and c, and that a²+b²>c². Let theta be the measure of the angle opposite the side of length of C
Answer:
The triangle is not a right triangle
[tex](\theta)[/tex] is an acute angle
[tex]cos(\theta) > 0[/tex]
Step-by-step explanation:
we know that
If a²+b²>c²
then
Is an acute triangle
therefore
angle theta must be less than 90 degrees
Hence
The triangle is not a right triangle
[tex]cos(\theta) > 0[/tex]
[tex](\theta)[/tex] ---> is an acute angle
Which of the following are necessary when proving that the opposite angles of a parallelogram are congruent? A. Opposite sides are perpendicular B. Opposite sides are congruent C. Angle addition postulate D. Segment Addition postulate
Answer:
The statements that are necessary when proving that the opposite angles of a parallelogram are congruent are:
B. Opposite sides are congruent - This has to be true as opposite sides should be similar.
C. Angle Addition Postulate. It states that if a point lies on the interior of an angle, that angle is the sum of two smaller angles with legs that go through the given point.
The options that are necessary when proving that the opposite angles of a parallelogram are congruent are:
Opposite sides are congruent.Angle addition postulate.What is needed to prove that opposite angles of a parallelogram?A parallelogram is known to be a quadrilateral tat is said to have two pairs of parallel sides.
Note that triangles ΔABD and ΔCDB are said to be congruent due to the fact that the angle-side-angle are congruent. parallelogram is said to have opposite sides are congruent sue to the fact that they have opposite sides that are similar.
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Divide -3x3 - 2x2 - x - 2 by x – 2.
Answer:
The answer..,
Step-by-step explanation:
Let me know if you wanted the steps (:
ANSWER
[tex] \frac{ - 3 {x}^{3} - 2 {x}^{2} - x - 2}{x - 2} = - 3 {x}^{2} - 8x - 17 - \frac{36}{x - 2} [/tex]
EXPLANATION
We want to divide
[tex] - 3 {x}^{3} - 2 {x}^{2} - x - 2[/tex]
by
[tex]x - 2[/tex]
We perform synthetic division to obtain:
The remainder to be -36.
The quotient is
[tex] - 3 {x}^{2} - 8x - 17[/tex]
Therefore,
[tex] \frac{ - 3 {x}^{3} - 2 {x}^{2} - x - 2}{x - 2} = - 3 {x}^{2} - 8x - 17 - \frac{36}{x - 2} [/tex]
The figure below shows trapezoid ABCD on a coordinate plane. Which following expressions represents the area of the figure EBCD in square units
The answer is 74 square units so B
Hope this helps you
Have a great day
☆ Dont forget to mark brainliest ☆
Answer:
EBCD=55.5 square units
Step-by-step explanation:
Since EBCD is a trapezoid you would plug in the lengths of the sides into the formula. First I will give you the side lengths.
BC=√37
EB=√37
CD=√74
ED=2√37
To solve for the area of EBCD we have to plug the numbers into the trapezoid formula 2√37+√37 divided by 2 times √37 =111/2 which that equals 55.5 square units.
I also know this is correct because I just took the assignment myself.
Find the missing side length. When the area is 12ft.
Answer: Since you are finding the missing side of a rectangle, it is 3.
Step-by-step explanation:
Area of rectangle= (l)(w)
The length of the missing side is 3ft.
What is Area ?Area is defined as the space occupied by a flat surface .
It is measured in square units.
It is given in the question
A rectangle with one side as 4ft.
Area of the rectangle = 12 sq.ft
Other side = ?
Area of a rectangle is given by Length * Breadth
Area = one side * other side
Substituting the values
12 = 4 * other side
other side = 3 ft.
Therefore the length of the missing side is 3ft.
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Nelly runs a 10 mile race in 88 minutes. At this rate, how long would it take him to run 6.5 mile race.
Answer:
57.2 minutes
Step-by-step explanation:
One way in which to solve this problem is to write and solve an equation of ratios:
6.5 mi x
------------ = -----------
10 mi 88 min
Cross-multiplying, we get:
10x = 572
Then x = 57.2 minutes (to run this 6.5 mile race)
For your instagram ad, you will be paying 80 cents per click.You get 3,320 clicks what is your cost?
Answer:
I wont tell you the answer. But, the answer is 3320/.8
Step-by-step explanation:
Whats 3320/.80?
The total cost of clicks $2656.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Per click charges= 80 cents
Total clicks= 3320
So, charges for 3320 clicks
= 3320 x 80
= 265600 cents
= $2656
Hence, the total cost of clicks $2656.
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In the figure, angle A measures 41° and angle D measures 32°. What is the measurement of angle E?
triangles angles always add up to 180° that being said,
41+32=73
180-73=107
angle e= 107°
hope this helps!
Fraction less than 3/6
Well you shaded in two of the six, so it is 2/6.
2/6 would be less than 3/6
An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X. The angle at city X created by the paths of the two planes moving away from city X measures 60°. What is the distance between the two airplanes to the nearest mile? Assume that the planes are flying at the same altitude.
Answer:
The distance between the two airplanes (to the nearest mile) is 1058 miles.
Step-by-step explanation:
An airplane A is at a location 800 miles due west of city X. So AX = 800 miles.
Another airplane is at a distance of 1,200 miles southwest of city X. So BX = 1200 miles.
The angle at city X created by the paths of the two planes moving away from city X measures 60°. So angle ∠AXB = 60°.
In triangle ΔAXB, AX = 800 miles, BX = 1200 miles, ∠AXB = 60°.
Using law of cosines:-
AB² = AX² + BX² - 2 * AX * BX * cos(∠AXB).
AB² = 800² + 1200² - 2 * 800 * 1200 * cos(60°).
AB² = 640000 + 1440000 - 2 * 960000 * 1/2
AB² = 2080000 - 960000
AB² = 1120000
AB = √(1120000) = 1058.300524
Hence, the distance between the two airplanes (to the nearest mile) is 1058 miles.
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Add (6x^2-3x)+(5x-7)
No problem.
The answer is 31x.
Hope this helped
6x^2+2x-7 is the answer to that problem
What type of association does the following scatter plot represent?
A. Positive linear association
B. Negative linear association
C. Positive nonlinear association
D. Negative nonlinear association
B negative linear association
Answer choices
F(x) or G(x)
for both A and B
Answer:
A. f(x)
B. g(x)
Step-by-step explanation:
The initial amount if the value of the function at x = 0.
Here that value is 2000 for the f(x) and 1000 for the g(x), so the f(x) has the higher initial value.
For the second part, by looking at the graph, you can determine that the function for the g(x) is 1000(3)^x (because the g(1) is 3000). Plugging in two for both the function, you get the f(x) = 8,000 and the g(x) = 9,000, so the g(x) has the greater amount of bacteria after two days.
Answer:
A. f(x)
B. g(x)
Step-by-step explanation:
The initial amount if the value of the function at x = 0.
Here that value is 2000 for the f(x) and 1000 for the g(x), so the f(x) has the higher initial value.
For the second part, by looking at the graph, you can determine that the function for the g(x) is 1000(3)^x (because the g(1) is 3000). Plugging in two for both the function, you get the f(x) = 8,000 and the g(x) = 9,000, so the g(x) has the greater amount of bacteria after two days.
Which expression is equal to (f - g)(x)?
ANSWER
[tex](f-g)(x) = 11 |x| - 32[/tex]
EXPLANATION
The functions are:
[tex]f(x) = 10 |x| + 26[/tex]
[tex]g(x) = 58 - |x| [/tex]
[tex](f-g)(x) = f(x) - g(x)[/tex]
Plug in the functions:
[tex](f-g)(x) = 10 |x| + 26 - (58 - |x| )[/tex]
[tex](f-g)(x) = 10 |x| + 26 - 58 + |x| [/tex]
[tex](f-g)(x) = 10 |x| + |x| + 26 - 58[/tex]
[tex](f-g)(x) = 11 |x| - 32[/tex]
The correct choice is A
Answer:
11|x|-32 hope this helps :D
Step-by-step explanation:
10|x|+26-(58-|x|)
10|x|+26-58+|x|
10|x|+|x|+26-58
11|x|-32
Write and solve the equation and then check your answer.
A number increased by twenty-six is forty-two.
Which statements are correct? Check all that apply.
This is an addition problem.
This is a subtraction problem
The correct equation is s + 26 = 42.
The correct equation is s – 26 = 42.
To solve the equation, add 26 to both sides.
To solve the equation, subtract 26 from both sides.
Answer:
(statements listed below are correct)
this is an addition problem.correct equation is s + 26 = 42.to solve the equation, subtract 26 from both sides.Step-by-step explanation:
The correct statements are Option(A), Option(C) and Option(F).
What is an equation?A mathematical statement that consists of an equal symbol between two algebraic expressions with the same value is known as an equation.
Let the number be = S
When it is increased by 26 it becomes 42
S + 26 = 42( Option(A) and Option(C))
Subtract 26 from both the sides (Option(F))
S + 26 - 26 = 42 - 26
S = 16
Hence, it is proved that Option(A), Option(C) and Option(F) are correct.
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