The number 2 or 6 would be rolled 200 times.
Important information:
A number cube is rolled 600 times.Expected value:Number cube has six numbers 1, 2, 3, 4, 5, 6. So, the probability of getting either 2 or a 6 is:
[tex]P(2\cup 6)=\dfrac{2}{6}[/tex]
[tex]P(2\cup 6)=\dfrac{1}{3}[/tex]
The expected value of getting a 2 or a 6 would be rolled is:
[tex]E(2\cup 6)=600\times P[/tex]
[tex]E(2\cup 6)=600\times \dfrac{1}{3}[/tex]
[tex]E(2\cup 6)=200[/tex]
Therefore, the number 2 or 6 would be rolled 200 times.
Find out more about 'Expected value' here:
https://brainly.com/question/1213954
Juana is measuring two pyramids whose base are isosceles right triangles. The second pyramid has the same height, but has 9 times the volume. What is the side length of its base
9514 1404 393
Answer:
3 times the smaller triangle base
Step-by-step explanation:
The volume is proportional to the height and to the area of the base.
If the height is unchanged, the larger pyramid must have a triangular base with an area that is 9 times the smaller base area.
Since the bases are similar, the area ratio is the square of the side length ratio. The side lengths of the larger base triangle must be √9 = 3 times the side lengths of the smaller base triangle.
What is a correct expansion of (4x+1)(2x^2-2)
A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)
B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)
Answer: B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
Step-by-step explanation: Hope this help :D
Answer:
A. 4x * 2x^2 + 4x * (-2) + 1 * 2x^2 + 1 * (-2)
Step-by-step explanation:
We have the binomial (4x + 1)(2x^2 - 2) and are asked to see how it looks like expanded.
When solving binomials, we need to follow the FOIL method :
First - First number in first parenthesis multiplied by first number in second parenthesis
Outer - First number in first parenthesis multiplied by second number in second parenthesis
Inner - Second number in first parenthesis multiplied by first number in second parenthesis
Last - Second number in first parenthesis multiplied by second number in second parenthesis
If we follow the definitions given, we can find our correct answer and also see where all the other answers mess up at :
A. 4x*2x^2+4x*(-2)+1*2x^2+1*(-2)
This follows FOIL entirely from start to finish.
B. 4x*2x^2+4x*(-2)+1*4x+1*(-2)
This did not follow the Inner part of FOIL.
C. 4x*2x^2+4x*(1)+1*2x^2+1*(-2)
This did not follow the Outer part of FOIL.
equivalent expression for 4(2x+1) and for 1/2 (4x-8)
Answer:
8x+4 and 2x-4
Step-by-step explanation:
We are going to use factoring to make equivalent expressions. What you do is you take the number next to the parenthesis and multiply it with what is inside the parenthesis. So it would be 8x+4 and 2x-4. Hope this helps! :)
Billy and Tommy are playing a dice game with a six-sided die. Billy needs to roll a 5 or higher to win the game. What is the probability that Billy will roll a 5 or higher?
Answer:
Probability that Billy will roll a 5 or higher [tex]=\frac{1}{3}[/tex]
Step-by-step explanation:
Probability refers to chances of occurrence of any event.
If a six-sided die is thrown, possible outcomes are [tex]1,2,3,4,5,6[/tex].
Billy needs to roll a 5 or higher to win the game.
So,
Favorable outcomes are [tex]5,6[/tex]
Number of favorable outcomes [tex]=2[/tex]
Total number of outcomes [tex]=6[/tex]
Probability that Billy will roll a 5 or higher
= Number of favorable outcomes ÷ Total number of outcomes
[tex]=\frac{2}{6}[/tex]
[tex]=\frac{1}{3}[/tex]
What is the product of 2/5 and 4/6
Answer:
[tex] \frac{2}{5} \times \frac{4}{6} \\ = \frac{4 \times 2}{5 \times 6} \\ = \frac{8}{30} \\ = \frac{4}{15} [/tex]
Answer:
4/15 is the correct answer of this question.hope this helps
which of the following is equivalent to the expression below when x >0?
Answer:
C
Step-by-step explanation:
kkgkckyxitxitzoyfoycyoc
This graph shows both a reflection and a
translation. What function is being graphed?
y=-285
y = 3x - 2-1
O
y=-3/x-2-1
y=-3x + 2-1
Answer:
4th choice: y=-∛(x+2) - 1
Step-by-step explanation:
It's horizontal translation to left 2 units and vertical translation down 1 unit from y = -∛x
It's reflection of y = ∛(x-2) - 1 over y axis
Which ordered pair describes the point (2, 5) after a translation of 2 units down and 3
units right?
A (0, 2)
B (5,3)
C (4,2)
D (4,8)
Answer this question to get marked as brainliest!!!!!
Answer:
A
Step-by-step explanation:
In 2009, James paid $2281.60 in social security tax. If the tax rate was 6.2% to the maximum of $90,000 that year, what was Faith's taxable income?
Answer:
36,800
Step-by-step explanation:
Taxable income x .062=2281.60
taxable income=2281.60/.062
taxable income - 36,800
please answer 10-14, will give brainliest if correct
Answer:
10. No solutions -- Because 5 can't = 0
11. Infinite Solutions -- Because on both sides of the (=) there is a 10 and a B that (b) and be any # and it will still be =
12. No Solutions -- Because 8 can't = 2
13. One Solution -- Because something (-4) = 9 only one # will fit for x and that # is 13 because 13-4=9
14. Infinite Solutions -- Because both sides of the (=) there is 6z because (3+3) z = (6)z = 6z. and if you but any # for z they will always be =
What is the mode of the following numbers?
8, 10, 8, 5, 4, 7, 5, 10,8
Answer:
8
Step-by-step explanation:
is 10/24 equivalent to 8/20
The median value is _________.
Answer:
Its the number that balnces the numbers
Step-by-step explanation:
Answer:
is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. ... If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above.
Step-by-step explanation:
Help I don’t know how to do this
Answer:
y = 140°
Step-by-step explanation:
we know that sum of two opposite interior angles are equal to one exterior
=> y = 120° + 20°
=> y = 140°
hope it helps
Find the value of the missing indicated angle. Show all work.
Help please ??
Answer:
77.5 degrees
Step-by-step explanation:
sin(90)/42=sin(?)/41
sin(90)/42 times 41=0.9761904
sin^-1(0.9761904)=77.47209456 degrees
8. A welder is making a metal sphere. The radius will be 115 cm. What is the surface area of the metal sphere? Use 3.14 for π.
9. Thirty percent of the metal sphere will be covered in a metal that is tinted red. What is the area of the section of the sphere that is tinted red?
please help :))
Step-by-step explanation:
Given that,
8. The radius of a sphere, r = 115 cm
We need to find the surface area of the metal sphere. The formula for the surface area of a sphere is given by :
[tex]A=4\pi r^2[/tex]
Put all the values,
[tex]A=4\times 3.14 \times (115)^2\\\\=166106\ cm^2[/tex]
9. Thirty percent of the metal sphere will be covered in a metal that is tinted red.
So, the area of the section that is tinted red is :
[tex]A=30\%\ of\ 166106\\\\=\dfrac{30}{100}\times 166106\\\\=49831.8\ cm^2[/tex]
Hence, this is the required solution.
i need help with this
Answer:
with what???
Step-by-step explanation:
URGENT! PLEASE HELP WITH THIS PROBLEMS.
Show two of the triangles below are similar. Include a similarity statement and show your work to support your statement (blurry numbers are both 8’s).
Answer:
Hypotenus property a2 +b2 =c2
In right △ABC altitude overlineBD is drawn to hypotenuse overline{AC} If AD = 5 and BC = 2√ 21, find DC, BD, and ABAB.
Answer:
[tex]\overline {DC}[/tex] = 7
[tex]\overline {BD}[/tex] = √35
[tex]\overline {AB}[/tex] = 2·√15
Step-by-step explanation:
Please find attached the drawing of right triangle ABC created with MS Visio
Let 'x' represent [tex]\overline {BD}[/tex] let 'y' represent [tex]\overline {DC}[/tex], and let 'z' represent [tex]\overline {AB}[/tex], we get;
5² + x² = z²...(1)
x² + y² = (2·√21)² = 84
x² + y² = 84...(2)
84 + z² = (5 + y)²...(3)
From equation (1), we have;
x² = z² - 5²...(4)
From equation (2), and equation (4), we have;
x² + y² = 84 = (z² - 5²) + y² = 84
∴ z² = 84 - y² + 5² = 109 - y²
z² = 109 - y²...(5)
From equation (3), and equation (5), we have;
84 + z² = (5 + y)² = 84 + (109 - y²) = (5 + y)²
84 + (109 - y²) = (5 + y)²
(5 + y)² - (84 + (109 - y²)) = 0
2·y² + 10·y - 168 = 0
y² + 5·y - 84 = 0
y = (-5 ± √(5² - 4 × 1 × (-84)))/(2 × 1)
y = 7, or y = -12
We note that 'y' is a natural number, therefore, the correct option of the two options is y = 7
y = [tex]\overline {DC}[/tex] = 7
From equation (2), we have;
x² + y² = 84
x² = 84 - y² = 84 - 7² = 35
x = √35
x = [tex]\overline {BD}[/tex] = √35
z² = 109 - y²
∴ z² = 109 - 7² = 60
z = √60 = 2·√15
z = 2·√15
z = [tex]\overline {AB}[/tex] = 2·√15.
This is my third time asking for helpppppppppp
Answer:
The new shape will be like the one that i have drawn for you , i think .
Step-by-step explanation:
add two ( to base* from both sides of it * )
delete one ( from hights )
Hope it was useful ;)
can sombody solve this
Answer:
90 - 43 = x
Step-by-step explanation:
Answer: 47
Step-by-step explanation:
Dude just subtract 43 from 90, since you are given a 90 degree angle.
But if you need the equation: 43+x-7=90
add 43 and (-7) which gives us 36
new equation is now: 36+x=90
move the 36 to the other side
x=54
now plug it in x(54)-7=47
Fifty people put there name
into a two different drawings
(30 males and 20 females).
One drawing is for an iPad and
the other is for a flat screen
TV. What is the probability
that a female will win the iPad
and a male win the flat
screen?
Possible answers⇒
13%
27%
36%
49%
Will GIVE BRAINLIST!!
Answer:
24%
Step-by-step explanation:
Probability for a female to win the iPad= 30/50
And a male to win the TV= 20/50
[tex]\frac{30}{50}[/tex]×[tex]\frac{20}{50}[/tex]
[tex]=\frac{600}{2500}[/tex]
[tex]=\frac{6}{25}[/tex]
[tex]=\frac{24}{100}[/tex]
[tex]=0.24[/tex]
=24%
So, the probability that a male will win the TV and a female will win the iPad is 24%.
distance between (20,15) and (10,25)
Answer:
14.14
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√(10 - 20)² + (25 - 15)²
√(-10)² + (10)²
√(100) + (100)
√200
= 14.14
I need this solved! FAST! thank you
Answer:
140
Step-by-step explanation:
4 * 4 =16
Right triangle is 10 because 5 *4=10
9 * 9 = 81
7*5=35
16 + 10 + 81 + 35= 142
142 rounded to the nearest ten is 140
What is the domain of f(x) = 9 – x?
Answer:
(-∞,∞)
Step-by-step explanation:
What are the solutions of the equation (2x + 3)^2 + 8(2x + 3) + 11 = 0? Use “u” substitution and the quadratic formula to
solve.
A.
B.
C.
D.
Answer:
A
Step-by-step explanation:
The equation of a circle is x^2 + y^2 -9
Work out the length of the diameter
Answer:
d = 6 units
Step-by-step explanation:
If x^2 + y^2 = 9, x^2 + y^2 = 3^2 = r^2. The radius is 3 and the diameter is twice that, or d = 6 units
please help me answer this
Answer:
Angle 3 is 113°
Step-by-step explanation:
Angles 2 & 3 is supplementary, so it equals 180°. Subtract 67 from 180 and you get 113. DUH.
Good Luck!!
Answer:
113°
Step-by-step explanation:
6 & 2 make a 180 ° angle
180-67 = 113
113° = angle 6
angle 6 is equivalent to angle 3
can someone please help me .
3/5 = x/15, x = ??
Answer:
9
Step-by-step explanation:
multiply both sides by 15 to get:
45/5 = x
9 = x