Answer:
1/6
Step-by-step explanation:
We can start by determining all the different combinations we can get.
We are using 6 sided dices, so we have a chance of getting 6 different numbers for each dice.
If we only have 1 dice, the our possible values would be:
1, 2, 3, 4, 5, 6
However, we have 2 dices. As such, our combinations have been multiplied, and now our possibilities are:
(1 , 1) , (1 , 2) , (1 , 3) , (1 , 4) , (1 , 5) , (1 , 6) , (2 , 1) , (2 , 2) , (2 , 3) , (2 , 4) , (2 , 5) , (2 ,6), and so on for 3, 4, 5, and 6
We can find the number of combinations by simply multiplying the amount of possible values for each dice.
Since both dices have 6 possible values, we multiply 6 by 6, and the amount of possible combinations is 36.
Now, let's determine the possibility for getting a double.
First, let's determine how many doubles we can get:
(1 , 1) , (2 , 2) , (3 , 3) , (4 , 4) , (5 , 5) , (6 ,6)
There are 6 different combinations for rolling a double.
So, our probability of rolling a double on two 6 sided dices is 6 out of 36
We can simplify that to 1 out of 6.
So the probability of rolling a double on two 6 sided dices is 1/6
Which quadrant of the coordinate plane has ordered pairs in the form of a positive number
and a negative number, (+,-)?
Y у
quadrant IV
10
-9
quadrant III
8
7
6
Quadrant
quadrant 11
Quadrant
II
5
4
quadrant 1
2
- 1
2
-Z
3
5
6
7
8
9
-10-9-8-7-6-5-4-3
10
-1 0
-1
-2
-3
-4
-5
Quadrant
III
Quadrant
IV
-6
-7
-8
-9
-10
Answer:
Quadrant IV
Step-by-step explanation:
On the graph, the x-axis numbers are positive and the y-axis numbers are negative
whats 10.50x +64=300
Answer:
74.5
Step-by-step explanation:
A culture of 100 bacteria grows at a continuous rate of 20%. Two hours later. 60 of the same type of bacteria are placed in a culture that allows a 30% growth rate. After how many hours do both cultures have the same population? Explain your answer.
Answer:
Both cultures will have the same population after 11 hours.
Step-by-step explanation:
Exponential equation for population growth:
The exponential equation for population growth is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
A culture of 100 bacteria grows at a continuous rate of 20%.
This means that [tex]P(0) = 100, r = 0.2[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P_{1}(t) = 100(1+0.2)^t[/tex]
[tex]P_{1}(t) = 100(1.2)^t[/tex]
The other culture starts to hours later, and we want to take that time as a parameter. So
[tex]P_{1}(2) = 100(1.2)^2 = 144[/tex]
Which means that when culture 2 growth starts, the population size of culture 1 is described by the following equation:
[tex]P_{1}(t) = 144(1.2)^t[/tex]
Two hours later 60 of the same type of bacteria are placed in a culture that allows a 30% growth rate.
This means that [tex]P(0) = 60, r = 0.3[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P_{2}(t) = 60(1+0.3)^t[/tex]
[tex]P_{2}(t) = 60(1.3)^t[/tex]
After how many hours do both cultures have the same population?
This is t for which:
[tex]P_{1}(t) = P_{2}(t)[/tex]
So
[tex]144(1.2)^t = 60(1.3)^t[/tex]
[tex]\frac{(1.3)^t}{(1.2)^t} = \frac{144}{60}[/tex]
[tex](\frac{1.3}{1.2})^t = \frac{144}{60}[/tex]
[tex]\log{(\frac{1.3}{1.2})^t} = \log{\frac{144}{60}}[/tex]
[tex]t\log{\frac{1.3}{1.2}} = \log{\frac{144}{60}}[/tex]
[tex]t = \frac{\log{\frac{144}{60}}}{\log{\frac{1.3}{1.2}}}[/tex]
[tex]t = 11[/tex]
Both cultures will have the same population after 11 hours.
TRUE OR FALSE (answer these two questions)
800 is a compatible number that is close to 704
Spencer should add compatible numbers to fund the estimate. (The number is 704)
-6 ( x – 8) = 60
can you explain it step by step for me
Answer:
-2
Step-by-step explanation:
-6(x-8)=60
x-8=60/-6
x-8=-10
x=-10+8
x=-2
1
Which expression is equivalent to al3 + ?
Answer: A
Step-by-step explanation: Hope this help :D
how do i factor this trinomial 5y^2 — 7y — 6
Answer:
(5y+3) x (y-2)
Step-by-step explanation:
5y^2-7y-6
5y^2+3y-10y-6
y(5y+3(-2(5y+3)
(5y+3) x (y-2)
What is the median of 8, 7.5, 6, 5.75, 10.25, 13.75, 6.5, 8.75, 9, 8, 9.25, 10, 8.25, 8.25, 9.25, 11, 6.75, 7, 9.5, 8.5
Answer:
8.375
Step-by-step explanation:
5.75,6, 6.5, 6.75, 7, 7.5, 8, 8, 8.25, 8.25, 8.5, 8.75, 9, 9.25, 9.25, 9.5, 10, 10.25, 11, 13.75
8.25 + 8.5 = 16.75
16.75/2 = 8.375
Find the area of oC. Round your answer to the nearest hundredth,
Answer:
Area ≈ 314.16 square inches
Step-by-step explanation:
Radius of circle (r) = ½(20) = 10 in.
Formula for area of circle, A = πr²
Plug in the value into the formula
Area = π × 10²
Area = π × 100
Area = 314.159265
Area = 314.16 in.² (nearest hundredth)
Who is correct?
PLease answer ASAP!! pls (:
Answer: Isaiah is correct because you can never be sure whether it’s gonna be a queen but you can be sure that the card could be red
Step-by-step explanation:
PLZ HELP!!!!!
Calculate x
Answer:
x = 31
Step-by-step explanation:
The two triangles are similar, so [tex]\triangle{NPO} \sim \triangle{YZO}[/tex].
Vertex N matches up with vertex Y.
Vertex P matches up with vertex Z.
Vertex[tex]\frac{NO}{YO}=\frac{1}{4}\\\\\frac{x}{124}=\frac{1}{4}\\\\4x=124\\\\x=31[/tex] O matches up with itself.
Corresponding sides are in proportion. To find the proportion between the two triangles, you use known sides from each.
[tex]\frac{NP}{YZ}=\frac{23}{92}=\frac{1}{4}[/tex] meaning the small triangle is 1/4 the size of the large one.
To find x , notice that it is side NO which corresponds to side YO from the large triangle.
What is the common ratio between successive terms in the sequence? 27,9,3,1, 1/3, ,1/9, 1/27
Answer:
1/3
Step-by-step explanation:
Take the second term and divide by the first
9/27 = 1/3
Take the third term and divide by the second
3/9 = 1/3
Check each subsequent ratio, we can see the common ratio is 1/3
The volume of a cylinder is 117.1 cubic feet, and its height is 15 ft. Find the diameter of the base of the cylinder.
Answer:
3.15 ft
Step-by-step explanation:
V
Volume of a cylinder: πr²h. Solving for r², we get r² = ---------
πh
Here, we get r² = (117.1 ft³) / (3.14·15 ft) = 2.48 ft² and r = √(2.48 ft²), or
1.58 ft, so that the diameter is 2r, or 3.15 ft
The diameter of the base of the cylinder is 3.15 ft.
In a survey, 12% of people have no pets,
44% of the people have 1 pet, 16% of the
people have 2 pets, and 28% have 3 or
more pets. If 126 people have 2 or fewer
pets, how many people were in the
survey?
126=12%+44%+16%=72%
175/100=1.75
1.75*72=126
so there was 175 people in the server
Peter has an average daily balance on his credit card of $127.50. His credit card charges 14.99% annual interest. What will his monthly finance charge be
Answer:
$1.59
Step-by-step explanation:
monthly finance charge = average daily balance x monthly interest
monthly interest = 14,99% / 12 = 1.249%
1.249% x $127.50 = $1.59
Given triangle ADE shown below with overline BC || overline DE . if AB=16, BD=8, and DE = 30, which of the following is the length of overline BC
1) 20
2) 60
3) 15
4) 22
Ashley average is a 85, but she forgets to do her finals. Which is the 20% of her grade. What is her final average now?
Answer:
Her final average now is 68.
Step-by-step explanation:
In order to find the grade average, you have to multiply each item for its percentage and add the results. Since the statement indicates that the final is 20% of the grade and she forgot to do it, that means that she got 0 for that 20%. Also, we can say that the average she has of 85 represents 80% of her grade and you have to multiply the average for the percentage:
85*0.8= 68
According to this, the answer is that her final average now is 68.
How many diagonals does a convex angle have?
Write 3 expressions that can be used to find angle C.
Answer:
[tex]sin^{-1}(x) = \frac{55}{73} \\\\cos^{-1}(x) = \frac{48}{73} \\\\tan^{-1}(x) = \frac{48}{55}[/tex]
Step-by-step explanation:
Since you're finding the angle, you use the inverse of sin, cos, and tan.
Callie uses leather cord to make necklaces. She has a piece of leather cord that has a length of 4 yards. Each necklace will have a length of 28 inches. How many necklaces can Callie make?
A. 32
B. 24
C. 4
D. 5
Which number is the additive inverse of 47? Hi. SI56 -47 1 W om 04
Answer:
4 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The additive inverse is the value that must be added to the number to give zero.
- 4 [tex]\frac{1}{4}[/tex] + 4 [tex]\frac{1}{4}[/tex] = 0
↑ additive inverse
You want to estimate the number of students in your school who support extra funding for the music club. You survey every second student who enters the school.
Determine whether the sample is biased or unbiased.
Answer: It’s UNBIASED!
Step-by-step explanation:
WHICH EXPRESSION HAS THE GREATEST VALUE
Answer:
The second, 16^3/2
Step-by-step explanation:
The first is equal to 16
The second is equal to 64
The third is equal to 16
The fourth is equal to 16
The required, greatest volume among the given number is [tex]16^{3/2}[/tex].
What is simplification?Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.
Here,
The given number,
∛64² simplified to 16,
[tex]16^{3/2}[/tex] simplified to 64.
√16² simplified to 16
∛8⁴ simplified to 16
Thus, the required, greatest volume among the given number is [tex]16^{3/2}[/tex].
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ3
40. A triangle is placed inside of a circle of radius 3x. The base of the
triangle is 2x and the height is x
a. Find the area of the circle not covered by the triangle.
b. Find the area when x =
4 in.
Answer:
P=a+b+c. To find the area of a triangle, we need to know its base and height. ... Name. Choose a variable to represent it. Let x= the measure of the angle. Step 4.
Step-by-step explanation:
A cube has edge lengths of 11 ft. What is the volume of the cube?
Answer:
1331 ft³
Step-by-step explanation:
The volume of a cube = (edge length)³
From the above question,
Edge length = 11 ft
The volume of the cube = (11 ft)³
= (11 ft × 11 ft × 11 ft)
= 1331 ft³
The volume of the cube = 1331 ft³
Calculate the average of the numbers shown. 23.8, 12.1 ,-17.6, 31.3
A)12.4
B)12.8
C)13.4
D)13.8
Answer:A.
Step-by-step explanation:
add the numbers together
23.8 + 12.1 + -17.6+ 31.3 = 49.6
then divide by number of numbers(4)
49.6/4=12.4
Which number line shows the solution to a +1 <5?
+
17
+
18
13 14
15
16
19
+
1
-2 -1
0
1
2
+
14
13
15
16
17
18
19
-2.
0
1
2
3
4
Answer:
6 bghyjy UC Houston post Getty photo Getty hide and the new Yorker
Please help,
NO LINKS PLEASE
Answer:the photo is to bleary
Step-by-step explanation:
el valor de mis acciones ,tras subir un 5% es de 20,000 ¿Cuál era el valor anterior ?
Answer:
400,000
Step-by-step explanation:
Ok so, su ecusión es 0.05p = 20,000 p = 400,000
lo siento si esto está mal no soy genial con el español.
find the height of the 6 -story building
Answer:
60 to 90 feet tall
Step-by-step explanation:
i just looked it up