Answer:
(a) What is the probability that you roll a 6?
1/6
(b) What is the probability that you either roll a 6 or do not roll a 6?
1
(c) What is the probability that you don't roll a 6?
5/6
Step-by-step explanation:
(a) What is the probability that you roll a 6?
In a 6- sided cube, a 6 occurs only once. That is only one face is labelled 6. Therefore, the probability that you roll a 6 is;
(number of faces labelled 6)/(totals number of sides) = 1/6
(b) What is the probability that you either roll a 6 or do not roll a 6?
The probability of rolling a 6 was found to be, 1/6.
On the other hand, the probability of not rolling a 6 is;
(number of faces not labelled 6)/(totals number of sides) = 5/6
Therefore, the probability that you either roll a 6 or do not roll a 6 is;
1/6 + 5/6 = 1
These two events are mutually exclusive and exhaustive.
(c) What is the probability that you don't roll a 6?
The probability of not rolling a 6 is;
(number of faces not labelled 6)/(totals number of sides) = 5/6
We have 5 faces not labelled 6 out of 6 possible faces or outcomes
Point S is _____.
1.inside the circle
2.on the circle
3.collinear with the diameter AC.
4.outside the circle
Answer:
point s is inside the circle.
Point s is inside the circle
5x=3x+14
Solve for x and name the steps taken.
Answer:
Simplifying
5x = 3x + 14
Reorder the terms:
5x = 14 + 3x
Solving
5x = 14 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
5x + -3x = 14 + 3x + -3x
Combine like terms: 5x + -3x = 2x
2x = 14 + 3x + -3x
Combine like terms: 3x + -3x = 0
2x = 14 + 0
2x = 14
Divide each side by '2'.
x = 7
Simplifying
x = 7
Step-by-step explanation:
A circular pool with a 10 foot diameter is surrounded by a deck.
What is the area of the deck which surrounds the pool? Use 3.14 for pi
Answer:
Step-by-step explanation:
the a square deck as a whole area is 225
side^2 so 15^2
the circles area is 78.54
area of circle formula= pi(r^2)
if you subtract the circle from the squares area you get the outside.
area of deck= 146.46
Answer:
146.5 or option A
Step-by-step explanation:
edg 2021
how do i divide fractions ΓΓΓ
Dividing fractions is basically the same thing as multiplying but by the reciprocal. I will give an example.
1/2 divided by 1/3
To solve this you do 1/2 multiplied by 3/1 so you switch the numerator and denominator.
Write the numerator of a fraction equivalent to 3/4 that has a denominator of 20?
Answer:
I think 15/20
Step-by-step explanation:
If you multiply the denominator by 5 it would equal 20 and if you multiply 3 by 5 it would equal 15, which you would of wanted to know what could 3 and 4 both get multiplied by to get a number.
Hope i have helped you!
What is the inverse equation of the function, y=5x-4
Answer:
y^-1 = (x + 4)/5
Step-by-step explanation:
To find the inverse equation of the function y=5x - 4, first we need to switch the x and y:
→ y = 5x - 4
→ x = 5y - 4
Now, solving for 'y':
→ x = 5y - 4
→ x + 4 = 5y
→ y = (x + 4)/5
therefore, the inverse equation is: y^-1 = (x + 4)/5
which value makes this equation true -4x = 20
Answer:
x= -5 makes the given equation -4x = 20 true
Step-by-step explanation:
We have been given the equation;
-4x = 20
we are to determine the value of x that will make the equation true. We simply make x the subject of the formula;
divide both sides of the equation by -4;
(-4x)/(-4) = 20/(-4)
x = -5
Therefore, x= -5 makes the given equation -4x = 20 true
Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
The given linear equation is:
-4x = 20
To find the value of x that makes the equation true, we need to solve for x.
We divide both sides by -4 to obtain:
[tex]\frac{-4x}{-4}=\frac{20}{-4}[/tex]
This is the sane as:
[tex]\frac{-4x}{-4}=\frac{-5\times-4}{-4}[/tex]
We cancel out the common factors to get:
[tex]x=-5[/tex]
What is the point slope form of a line with slope -5 that contains the point (2,-1)?
A.y+1=-5(x-2)
B.y-1=5(x+2)
C.y-1=-5(x-2)
D.y+1=5(x+2)
Answer:
a
Step-by-step explanation:
20 POINTS- ANSWER IF YOU KNOW
A rectangular hotel swimming pool is sixty feet long, twenty-five, and seven feet deep. How much water will the swimming pool hold if it is only filled six feet deep?
Answer: It will hold 9,000 gallons (I'm guessing as that is the stand unit of water for something like this)
Step-by-step explanation:
60 * 25 = 1,500
1500 * 6 = 9000
Answer:
9000 feet cubed
Find the surface area of a sphere with a diameter of 14 cm. Leave your answer in terms of pi.
Answer:
196 pi
Step-by-step explanation:
Equation for Surface Area = 4 pi r^2
r = 14/2 = 7
4(7^2)pi
(4)(49)pi
196pi
If t>0 and t2−25=0, what is the value of t?
Answer:
Final answer is [tex]t=5[/tex].
Step-by-step explanation:
Given equation is [tex]t^2-25=0[/tex].
Now we need to solve that equation for t when [tex]t>0[/tex].
[tex]t^2-25=0[/tex]
[tex]t^2-5^2=0[/tex]
[tex](t+5)(t-5)=0[/tex]
or [tex](t+5)=0[/tex], [tex](t-5)=0[/tex]
or [tex]t+5=0[/tex], [tex]t-5=0[/tex]
or [tex]t=-5[/tex], [tex]t=5[/tex]
Given that t>0
so that means t=-5 is not possible.
Hence final answer is [tex]t=5[/tex].
Helpppppppp!!!!!!!!!! PLEASE
A) a'(0,-4), b'(2,-1), c'(3,-5)
since the coordinates are only moved 5 units down, just reduce the y-coordinates by 5
1-5= -44-5= -10-5= -5Which graph represent the equation y=-2
Answer:
The top left graph.
Step-by-step explanation:
That is because it goes through y=-2
Final answer:
To find the total cost per mile to rent the car, add the rental cost for 5 days to the gasoline cost, then divide by the miles driven. Ruth Barr's total cost per mile was approximately $0.3785.
Explanation:
To calculate the total cost per mile to rent the car, we need to add the cost of renting the car for 5 days to the cost of gasoline and then divide the sum by the number of miles driven.
Calculate the rental cost for 5 days: 5 days × $59.95/day = $299.75.
Add the cost for gasoline: $299.75 (rental cost) + $137.76 (gasoline) = $437.51.
Divide the total cost by the number of miles driven: $437.51 ÷ 1156 miles = approximately $0.3785 per mile.
The total cost per mile Ruth Barr spent to rent the car was approximately $0.3785.
What is the sokution of -(x)=-8
Answer:
x = 8
Step-by-step explanation:
Given
- x = - 8 ( multiply both sides by - 1
- x × - 1 = - 8 × - 1, that is
x = 8
Answer:
x = 8
Step-by-step explanation:
Given
- x = - 8 ( multiply both sides by - 1
- x × - 1 = - 8 × - 1, that is
x = 8
Help please and explanation please
For this case we must add the given series. We expanded the series for each of the values of i, that is, from 1 to 5:[tex]3 (1) +3 (2) +3 (3) +3 (4) +3 (5) =\\3 + 6 + 9 + 12 + 15 =[/tex]
We add the terms:
[tex]9 + 9 + 12 + 15 =\\18 + 12 + 15 =\\30 + 15 =\\45[/tex]
Finally, the value of the given series is 45.
Answer:
45
What is the measure of ced?
Answer:
212°
Step-by-step explanation:
We have the measure of CE and the measure of ED, so all we have to do is combine those two to get the measure of CED.
The arc CE measures 52 degrees.
The arc ED measures 160 degrees
The arc CED is the sum of arc CE and ED, so:
CED = 52° + 160° = 212°
We don't have any length measurement inside that circle to calculate the length of the arc CED in inches, centimeters or otherwise... so we can only measure it degrees.
does this have a. Proportional relationship
No, to be proportional, there would be a consistent pattern between x and y. For example 2 times 2.5 is 5. And 3 times 2 is 6. The ratio is not the same.
PLEASE HELP PLEASE PLEASE
44% of a number is 88. What is 1% of the number?
A) 2
B) 200
C) 38.72
D) 132
Answer: The answer to your question is 200
Step-by-step explanation: because when you are multiply a percentage by a whole number, you are trying to find what percentage of the whole number makes the problem true. In your case, the problem would be set up like this:
44% of what number is 88
0.44 of x is 88
So, now that you have the problem set up, the final answer would be 200 after you have gone through each answer and substituted each value to come up with a true statement
6. When making adjusting entries, which account is never affected?
A. Capital
B. Withdrawal
C. Fees Expense
D. Cash
It never affects D. Cash
Answer:
Cash is never affected.
Step-by-step explanation:
When making adjusting entries, cash is never impacted.
Adjusting entries means to make the account up to date at the end of the accounting period.
All adjusting entries affect a minimum of one income statement account and one balance sheet account, but this never affects cash.
x to the 2nd power +2-4x
What is the question being asked here?
Answer:
x² - 4x + 2 = (x - 2)²
need help fast !!!!!!!!!!!!!!!!!!!
f(30)= 14-0.5(30)
f(30)= 14-15
f(30)= -1
Answer is f(-30)= -1
ANSWER
[tex]f(30) = - 1[/tex]
EXPLANATION
The given expression is
f(x)=14-0.5x
We want to finfmd f(30).
We substitute x=30 into the expression to obtain:
[tex]f(30)=14-0.5(30)[/tex]
Multiply out the last term to obtain,
[tex]f(30)=14-15[/tex]
Simplify to get,
[tex]f(30)= - 1[/tex]
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 7.4% per hour. How many hours does it take for the size of the sample to double
Answer:18.12
Step-by-step explanation:
a rectangular prism with dimensions 3 by 4 by 8 has the same volume as a different rectangular prism with dimensions 4 by 4 by what?
let's recall that the volume of a rectangular prism is simply the product of its 3 dimensions.
so the volume for the first one is simply 3*4*8 = 96.
now, let's do some quick prime factoring of that 96
96 = 2*2*2*2*2*3
since we know the factors of 96, and we can rearrange them in any way we wish and will always have a product of 96, well, le'ts do some rearranging for the second prism.
the second prism has 4 and 4, namely 2*2 and 2*2, what's leftover? 2*3.
so the second prism must be (2*2) * (2*2) * (2*3), namely a 4x4x6.
Question 7 (2 points)
Which theorem or postulate proves that ATNI is similar to AMNA?
SSS Similarity Theorem
SAS Similarity Theorem
AA Similarity Postulate
None of these
SSS Similarity Theorem
Which expression is equivalent to −1/12x−1/3 ?
1/12(−x+4)
1/12(−x−1/4)
1/12(−x−1/3)
1/12(−x−4)
The answer is the last one, 1/12(-x-4).
Explanation:
Which linear inequality is represented by the graph
For this case we have that the boundary line of inequality is dotted, therefore equality is not included.
We find the slope of the line, substituting two points that pass through it:
[tex](0,3)\\(3,5)\\m = \frac {5-3} {3-0} = \frac {2} {3}[/tex]
We evaluate a point within the region and see which case is met:
[tex](x, y) :( 0.6)[/tex]
We replace:
[tex]A) y <\frac {2} {3} x + 3\\6 <0 + 3\\6 <3[/tex]
It is not fulfilled, we discard the first option.
[tex]C) y> \frac {2} {3} x + 3\\6> 0 + 3\\6> 3[/tex]
Is fulfilled!
Answer:
Option C
find the given angle to the nearest degree.
Answer:
[tex]\alpha=44\°[/tex]
Step-by-step explanation:
By definition, the tangent of an angle is the quotient between the side opposite the angle and the side adjacent to the angle
In other words:
[tex]tan(\alpha) = \frac{opposite}{adjacent}[/tex]
In this triangle, the length of the side adjacent to the desired angle is 50, and the length of the opposite side is 48
So:
[tex]tan(\alpha) = \frac{48}{50}\\\\tan(\alpha)= 0.96[/tex]
Finally
[tex]\alpha =arctan(0.96)\\\\\alpha=44\°[/tex]
Answer:
Final answer is [tex]?=44[/tex] degree.
Step-by-step explanation:
Using given information in the picture, we need to find the missing value of angle "?"
Apply formula of tangent function which is :
[tex]\tan\left(\theta\right)=\frac{opposite}{adjacent}[/tex]
[tex]\tan\left(?^o\right)=\frac{48}{50}[/tex]
[tex]\tan\left(?^o\right)=0.96[/tex]
[tex]?=\tan^{-1}\left(0.96\right)[/tex] degree
[tex]?=43.830860672092581097187030418859[/tex] degree
Hence final answer is [tex]?=44[/tex] degree.
help asap, please!!!!!!!!
1/6p + (-4/5) is the equivalent expression. You have to add like terms, meaning constants are added to constants, variables are added to variables, etc. the result you get from adding like variables leaves you with 1/6p + (-4/5) or 1/6p - 4/5
Sally's $8,800 savings is in two accounts. One account earns 2% annual interest and the other earns 6%. Her total interest for the year is $440. How much does she have in each account?
Answer:
In the 2% account, Sally has $2200 and in the 6% account, Sally has $6600.
Step-by-step explanation:
Suppose the amount invested at 2% is $X and the amount invested at 6% is $Y (assuming that the college student invested all his/her income on the two schemes). Therefore:
X + Y = 8800 (The sum of investments is basically the total income).
0.02X + 0.06Y = 440 (The sum of the interest received from the invested amounts is actually the total return).
Now solving these 2 simultaneous equations:
x + y = 8800 (Equation 1)
2x + 6y = 44000 (Equation 2)
From (Equation 1):
x = 8800 - y (Equation 3)
Put (Equation 3) in (Equation 2):
2(8800 - y) + 6y = 44000.
17600 - 2y + 6y = 44000.
4y = 26400
y = 6600.
To find x, substitute y = 6600 in equation 3. This gives:
x = 8800 - y.
x = 8800 - 6600.
x = 2200.
So in the 2% account, Sally has $2200 and in the 6% account, Sally has $6600!!!
For the inverse variation equation xy=k, what is the constant of variation, k, when x=-2 and y=5?
-10
-2/5
5/2
10
Answer:
-10
Step-by-step explanation:
xy = k
(-2)(5) = k
-10 = k
Answer: -10
Step-by-step explanation:
Given: The inverse variation equation is given by :-
[tex]xy=k[/tex]
To find : The constant of variation, k, when x=-2 and y=5
Substitute the given values of x and y in the given inverse equation , we get
[tex]-2\times 5=k\\\\\Rightarrow\ k=-10[/tex]
Hence, the value of constant of variation = -10