The probability of rolling a sum of 12 or smaller than 5 is:
P = 7/36 = 0.194
How to find the probability?Each dice has a total of 6 outcomes. Then for rolling two die, the total number of outcomes is:
6*6 = 36
The probability of rolling a sum of 12 or smaller than 5, is equal to the quotient between the number of outcomes that meet the above condition and the total number of outcomes.
There is only one outcome that adds up to 12.
And by looking at the table, we can see that there are 6 outcomes that add up to numbers smaller than 5.
So 7 outcomes meet the condition.
Then the probability is:
P(sum of 12 or <5) = 7/36 = 0.194
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Find the lateral surface area of the triangular prism.
Answer:
672
[tex]A_L = (a+b+c)h = (12+10+20)*16 = 672[/tex]
Find the solutions to x² = 12.
O A. x = +2√3
OB. x=+5√2
X
C. x= +2√5
OD. x = 13√2
Answer:
[tex]x = \pm 2\sqrt3[/tex]
Step-by-step explanation:
Hello!
Let's use the square root property to solve this question
Solve:
[tex]x^2 = 12[/tex][tex]\sqrt{x^2} = \sqrt{12}[/tex][tex]x = \pm\sqrt{12}[/tex][tex]x = \pm \sqrt{4 * 3}[/tex][tex]x = \pm 2\sqrt3[/tex]The answer is option A: x = ±2√3
Which is an equation of an asymptote of the hyperbola? y = 3x 10 y = –3x 8 y = x 2 y = x
The equation of the asymptote of the hyperbola is y = 3x + 10
How to determine the asymptote?From the complete question the asymptote passes through the points:
(x,y) = (-1, 7) and (-3,1)
The slope of the line is calculated using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{7 - 1}{-1 + 3}[/tex]
This gives
m = 3
The equation is then calculated using:
y = m(x -x1) + y1
This gives
y = 3(x + 1) + 7
Evaluate
y = 3x + 3 + 7
y = 3x + 10
Hence, the equation of the asymptote is y = 3x + 10
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A cylindrical well has a radius of 6 feet and a height of 12 feet. How many cubic feet of water will it take to fill the well?
Assume that π = 3.14 and round to the nearest tenth when necessary.
maybe 1375 cubic feet of water will take to fill the well
3 (x + 4) answer ? lol need for sister
Answer:
3x + 12
Step-by-step explanation:
This is an 'expression' ...there is no 'answer' but it can be re-arranged
3(x+4) = 3 * x + 3 * 4 = 3x + 12
Hey there!
3(x + 4)
= 3(1x + 4)
DISTRIBUTE 3 WITHIN the PARENTHESES
= 3(1x) + 3(4)
= 3(x) + 3(4)
= 3x + 12
Therefore, the answer should be:
3x + 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the height of a cylinder if the diagonal is 13 inches and the radius is 5 inches?
Answer:
12 inches.
Step-by-step explanation:
You have to use the pythagorean formula. The measurements you stated form a right angle. Therefore, a^2 + b^2 = c^2. In this equation, we know c=13, and b=5. So therefore c^2 - b^2 = 144. We have to solve for a, so square root 144 to get 12.
Answer:12 in
Step-by-step explanation:
I don’t know how to figure this question out I need help I need the steps to this
Answer:
19.5625
Step-by-step explanation:
To find the mean, you add all of your values together and divide by the number of values you have.
Here are the values in the dot plot listed:
12, 12, 15, 15, 15, 15, 16, 18, 20, 20, 22, 25, 25, 25, 29, 29
To find the mean:
(12 + 12 + 15 + 15 + 15 + 15 + 16 + 18 + 20 + 20 + 22 + 25 + 25 + 25 + 29 + 29)/16 = 19.5625
the area of a triangle is 49.28 square centimetres. if the base of the triangle is 8.8 centimeters, what is the height
Answer:
11.2
Step-by-step explanation:
GIVING BRAINLIEST!!!!!
Answer:
23.33
Step-by-step explanation:
The sum of the internal angles of a triangle is 180°, which is given by The Angle Sum Property of Triangles.
⇒ 3x - 17 + 2x + 5 + x + 52 = 180
⇒ 6x + 40 = 180
⇒ 6x = 140
⇒ x = 140/6
⇒ x = 70/3
⇒ x = 23.33
Answer: x = 23.333
In any triangle, all the three angles will ALWAYS add up to 180°. According to that:
▪ 180° = <a + <b + <c
(2x + 5) + (3x - 17) + (x + 52) = 180
2x + 5 + 3x - 17 + x + 52 = 180
Rearrange according to like terms
2x + 3x + x + 52 - 17 + 5 = 180
6x + 40 = 180
Now we'll find the value of x
6x = 180 - 40
x = 140/6
By cross cancellation we get
x = 70/3
You could change it into decimal as well
x = 23.333 answer
therefore, the third option that says 23.33 is correct.
Hope that helps...
Please someone help me this is super easy I just forgot how to do it
Answer:
_48x +32
Step-by-step explanation:
_(16*3x_16*2)
_(48x_32)
_48*+32
Emma lends half her collection of anime novels to her friend, Emily. Emma then buys six more novels. If she has 14 books now, how many novels did Sweden have initially?
Answer:
16
(14-6)×2=16 So initially Emma had 16 books.
Evaluate the expression.
Answer:
-1331
Step-by-step explanation:
Just ask. :)
W
Which inequality represents this problem?
• Jerry has $30 in his savings account, and he deposits $6 each month.
• Amber has $80 in her savings account, and she does not make any
additional deposits or withdrawals.
After how many months, m, will Jerry have more money in his account than
Amber?
OA. 80> 30 + 6m
OB. 30+6m> 80 + 6m
OC. 6+30m> 80
OD. 30+ 6m> 80
Does anyone know how to do these two questions I have to turn this in ( I will be very grateful
Answer:1. 72.5
Step-by-step explanation: in number one you add so is equal to 0.2 ÷ 14.5
number to we put 1÷25(42,000) so is equal to 1680 the we substract 42000-1680=40,320
Can anyone explain how to work this equations pls?
Answer:
[tex]\frac{3}{y^{2} }[/tex]
Step-by-step explanation:
This question is asking you to simplify using the law of indices:
Just to write out the question in fraction form:
[tex]\frac{12y^{7} }{4y^{9} }[/tex]
Cancel out the 4:
[tex]\frac{3y^{7} }{y^{9} }[/tex]
Cancel out y^7:
[tex]\frac{3}{y^{2} }[/tex]
Hope this helped and brainliest please
Answer:
3/y^2
Step-by-step explanation:
1. Rewrite the division as a fraction.
= 12y^7/4y^9
2. Cancel the common factor of 12 and 4
= 4(3y^7)/4y^9
= 3y^7/y^9
3. Cancel the common factor of y^7 and y^9
= y^7 ⋅ 3/y^9
= 3/y^2
The difference between a number and three fourths of itself is 15. Find the number.
Answer:
60
Step-by-step explanation:
lets say the number is X so:
X-3/4X=15
then multiple both sides by 4 then you will get
4X-3X=60
SO:X=60
Answer:
60Step-by-step explanation:
let x be the number that we are trying to figure out.
the statement “The difference between a number and three fourths of itself is 15” means x + (3/4)x = 15
then
(1/4)x = 15
Then
x = 4 × 15
Then
x = 60
Evaluate
4! - (11-2)!
8!
Answer:
Step-by-step explanation:
The expanded value of n! is (n) * (n - 1) * (n - 2) until we reach one.
Given:
4! - ((11-2)!) / 8!)
Rewrite:
[tex]\displaystyle 4! - \frac{(11-2)!}{8!}[/tex]
Subtract:
[tex]\displaystyle 4! - \frac{9!}{8!}[/tex]
Expand:
[tex]\displaystyle 4*3*2*1 - \frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1}[/tex]
Cancel out values that equal one in the fraction:
[tex]\displaystyle 4*3*2*1 - \frac{9}{1}[/tex]
Multiply:
[tex]\displaystyle 24 - \frac{9}{1}[/tex]
Simplify:
24 - 9
Subtract:
15
The volume of a sphere is 9,198.m3 To the nearest ,meter what is the radius of the sphere? Use 3.14 for .pi
Using the given information, the radius of the sphere to the nearest meter is 13m
Calculating Volume of a sphereFrom the question, we are to determine the radius of the sphere
Using the formula for calculating the volume of a sphere,
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
Where V is the volume
and r is the radius
From the given information,
V = 9198 m³
Then,
[tex]9198 = \frac{4}{3} \times \pi r^{3}[/tex]
[tex]9198 = \frac{4}{3} \times 3.14 \times r^{3}[/tex]
[tex]4 \times 3.14 \times r^{3} = 9198 \times 3[/tex]
[tex]4 \times 3.14 \times r^{3} = 27594[/tex]
[tex]r^{3} = \frac{27594}{4 \times 3.14}[/tex]
[tex]r = \sqrt[3]{\frac{27594}{4\times 3.14} }[/tex]
r = 12.99995 m
r ≅ 13 m
Hence, the radius of the sphere to the nearest meter is 13m.
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9. Which function's graph is a translation of the graph of f(x) = x shifted 7 units to the left?
Answer:
b) g(x) = x + 7
it may seem like its x - 7, but it's actually x + 7 since it shifts up the graph 7 units.
A D Show that 4h² - 4dh + x² = 0 T: Join OA, the radius of the centre and use the Pythagoras theorem. Express OA and OB in terms of d and/or h. B 11
See below for the proof of the equation 4h² - 4dh + x² = 0 using the Pythagoras theorem
How to prove the equation?The Pythagoras theorem states that:
Hypotenuse² = Opposite² + Adjacent²
The question is incomplete, as the figure is not given.
So, I will complete the proof using the following parameters:
Hypotenuse = 2√dhOpposite = xAdjacent = 2hSubstitute the above values in the following equation
Hypotenuse² = Opposite² + Adjacent²
So, we have:
(2√dh)² = x² + (2h)²
Evaluate the exponents
4dh = x² + 4h²
Subtract 4dh from both sides
0 = x² + 4h² - 4dh
Rewrite as:
4h² - 4dh + x² = 0
Hence, the equation has been proved
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What is m∠Q? Round only your final answer to the nearest tenth. 24.1º 30.8º 59.2º 125.1º
The measure of the angle m∠Q is 30.8 degree after applying the law of cosine.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
Let's suppose the angle m∠Q is A
So applying law of cosine:
[tex]\rm 40^2 = 64^2+32^2-2(64)(32) \ cosA[/tex]
CosA = 0.859
A = 30.75 ≈ 30.8 degree
Thus, the measure of the angle m∠Q is 30.8 degree after applying the law of cosine.
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3. A is a set of points that extends infinitely in both directions.
ray
point
plane
line
Answer:
line
Step-by-step explanation:
quizlet
cliffnotes
2 angles that are supplementary are always linear pair true or false?
Answer: true
Step-by-step explanation: The answer is true. As a linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180 degrees.
Answer:
true
Step-by-step explanation:
Quadrilateral abcd is a parallelogram if both pairs of opposite angles are congruent. prove that quadrilateral abcd is parallelogram by finding the measure of the opposite angle pairs?
Answer:
you how are doing please study and work hard
3 ten thousands, 41 thousands, 45 hundreds, 49 tens, and 8 ones.
Regroup
Answer:
75,998.Step-by-step explanation:
3 ten-thousands:
3000041 thousands:
41,00045 hundreds:
4,50049 tens:
4908 ones:
8Add them all up:
30,000 + 41,000= 71,000 + 4,500= 75,500 + 490= 75,990 + 8= 75,998.Answer is 75,998.| Jill was given $175 but her mother was given five times as
much. How much was her mother given?
Answer:
$875
Step-by-step explanation:
Jill was given $175 and her mother was given 5 times the amount.
Multiply 175 and 5.
Amount for mother = $175 x 5Amount for mother = $875Simplify the expression. Write your answer as a power.
Answer:
π^8
Step-by-step explanation:
π^30/π^22= π^8
When Camden runs the 400 meter dash, his finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 3 seconds. What percentage of races will his finishing time be between 69 and 75 seconds, to the nearest tenth?
Answer
60%
Step-by-step explanation:
Im not certain but i think its 60%,because the standard deviation is 6 and that as a percent is 60%
What is the phenotype of a Squibble that is heterozygous for the trait of fur color?
Trait
AA
Aa
Number of Fingers 4
4
Fur color
Blue
Tail Length
Short
Eye Color
Brown
Green
Short
Brown
3
Gray
Long
Green
Answer:
charlie brown chicken sandwich
Step-by-step explanation:
Lea and adam are selling cheesecakes for a school fundraiser. customers can by new york cheesecakes and chocolate marble cheesecakes. lea sold 14 new york cheesecakes and 11 chocolate marble cheesecakes for a total of $293. adam sold 7 new york cheesecakes and 2 chocolate marble cheesecakes for a total of $80. what was the cost for one chocolate marble cheesecake?
Answer: $19
Step-by-step explanation:
We will set up equations to solve and pull the information we need from the given passage. Let x be new york cheesecakes and y be chocolate marble.
Lea sold 14 new york and 11 chocolate marble. She made $293 total.
14x + 11y = 293
Adam sold 7 new york and 2 chocolate marble for $80 total.
7x + 2y = 80
Now I will graph the two equations. The y-coordinate in the point of intersection is the solution is the answer to your question.
(6, 19)
$19
The cost for one chocolate marble cheesecake is $19.