Answer:
1/6
Step-by-step explanation:
P(3) = number of three's / total number of outcomes
= 1/6
Please help with my Algebra What is the solution to the system of equations? {6x−2y=−144x−3y=−31
Answer:
(x , y)=(-31/306 , 775/51)
Step-by-step explanation:
6x-2y=-144x-3y=-31
Write as a system of equations.
6x-2y=-31
-144x-3y=-31
Multiply both sides of the equation by 24.
144x-48y=-744
-144x-3y=-31
Sum the equations vertically to eliminate at least one variable.
-51y=-775
Divide both sides of the equation by -51.
y=775/51
Substitute the given value of y into the equation 6x-2y=-31.
6x-2x775/51=-31
Solve the equation for x.
x=-31/306
The possible solution of the system is the ordered pair (x , y).
(x , y)=(-31/306 , 775/51)
Given that 6 > –2, which statements are true? Check all that apply.
(2)(6) > (–2)(2)
StartFraction 6 over 2 EndFraction less-than StartFraction negative 2 over 2 EndFraction
(–2)(6) > (–2)(–2)
StartFraction 6 over negative 2 EndFraction less-than StartFraction negative 2 over negative 2 EndFraction
(2)(6) < (–2)(2)
StartFraction 6 over 2 EndFraction less-than StartFraction negative 2 over 2 EndFraction
Answer:
1,4,6, are the answers
Step-by-step explanation:
Answer:
the first, the fourth and the sixth
Step-by-step explanation:
i just did it
Joshua's total monthly income is $2850. His rent is $750, his car payment is $350, his car insurance is $117, and his renters insurance is $58. How much money does Joshua have left after he pays his fixed expenses? Enter the answer as a whole number, such as: $500
Helllp fast please someone
Answer: -10
Step-by-step explanation:
-4 - 6 = -10
One angle is
angle is 65 degrees, the other is
90 degrees, what is my missing angle?
What is my first and last name?
Answer:
your missing angle is
90+65 = 155
180-155 = 25
so your missing angle is 25 degrees
8.) Mrs. Ruiz bought six 2-liter bottles of juice. How many dekaliters of juice
did she buy?
a.) 0,012 dekaliter
b.) 0.12 dekaliter
c.) 1,2 dekaliters
d.) 120 dekaliters
Maya is building a wooden box with a rectangular base that is 20 in and by 14 in tall. If she wants an open box without a top how much wood will Maya use?
Which exponential function has a growth factor of One-half?
f(x) = 2(0.5x)
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It goes through (negative 1, 2) and crosses the y-axis at (0, 0.5).
f(x) = 0.5(2x)
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries one-eighth, one-fourth, one-half, 1, 2.
Answer:
C f(x) = 0.5(2x)
Step-by-step explanation: I got a 96 on the the test so you can trust, unlessssss this is the one question I got wrong!!! .... It's not though so don't worry.
f(x) = 2(0.5)ˣ is the exponential function which has a growth factor of One-half.
What is a function?A relation is a function if it has only One y-value for each x-value.
An exponential function with a growth factor of 1/2 would have 1.5^x as part of it
y=a(1+0.5)ˣ is the general term of the exponential function.
In the given functions
f(x) = 2(0.5)ˣ On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
It goes through (negative 1, 2) and crosses the y-axis at (0, 0.5).
Hence, f(x) = 2(0.5)ˣ is the exponential function which has a growth factor of One-half.
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In rectangle WXYZ, A is on side WX such that AX = 4, B is on side YZ such that BY = 18, and C is on side XY such that angle ACB= 90 degrees and CY = 2CX. Find AB.
Answer:2*sqrt(130)
Step-by-step explanation:[tex]From right triangle $AXC$, we have $\angle XAC = 90^\circ - \angle XCA$. We also must have $\angle YCB + \angle ACB + \angle XCA = 180^\circ$, so $\angle YCB = 180^\circ - 90^\circ - \angle XCA = 90^\circ - \angle XCA$, which means $\angle YCB = \angle XAC$. Combining this with $\angle X = \angle Y$, we have $\triangle XCA \sim \triangle YBC$ by AA Similarity, and\[\frac{CX}{AX} = \frac{BY}{CY},\]so\[\frac{CX}{4} = \frac{18}{2CX}.\]\\\\This gives us $2CX^2 = 72$, so $CX^2 =36$ and $CX=6$. \\\\\\\\[/tex][tex]Therefore, $CY = 12$.Applying the Pythagorean Theorem to right triangles $XCA$ and $CYB$ gives us\begin{align*}CA^2 &= XA^2 + XC^2 = 16 + 36 = 52,\\BC^2 &= CY^2 + BY^2 = 144 + 324 = 468.\end{align*}Applying the Pythagorean Theorem to right triangle $ABC$ gives\[AB = \sqrt{AC^2 + BC^2} = \sqrt{52 + 468} = \sqrt{520} = \boxed{2\sqrt{130}}.\](We can also compute $AB$ by dropping a perpendicular from $A$ to $\overline{YZ}$, which creates a right triangle.)[/tex]
The length of the side AB from the figure is approximately 22.8.
Given a rectangle WXYZ.
Consider triangles ΔACX and ΔBCY.
∠AXC = ∠BYC
Also, ∠CAX + ∠ACX = 180° - 90°
So, ∠CAX = 90° - ∠ACX [Equation 1]
Given that ∠ACB = 90°
Also, ∠ACX, ∠ACB, and ∠BCY form linear angles.
So, ∠ACX + ∠ACB + ∠BCY = 180°
So, ∠ACX + 90° + ∠BCY = 180°
∠ACX + ∠BCY = 90°
∠BCY = 90° - ∠ACX [Equation 2]
From [Equation 1] and [Equation 2], ∠CAX = ∠BCY
By AA similarity, triangles ΔACX and ΔBCY are similar.
So, the corresponding sides are proportional.
AX / CY = CX / BY
4 / 2CX = CX / 18
(CX)² = 36
CX = 6
Now, using the Pythagoras theorem:
AC = √(4² + 6²) = √52
BC = √(18² + 12²) = √468
So, AB = √(√52)² + (√468)²
= √520
≈ 22.8
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Find the function that represents the relationship in the table
a)
y = 14x + 14
b)
y = 8x + 14
c)
y = 8x
d)
y = 14x + 8
Answer:
option B
Step-by-step explanation:
when the x value is multiplied by 8 and the result is added to 14 you will get the corresponding y value
A jar of marbles has 23 red marbles, 12 white marbles, 18 yellow marbles and 28 black marbles. What are the chances of the following:
1) Picking a black marble?
2) Picking a purple marble?
3) Picking a red or white marble?
4) Picking a marble whose color has 5 letters in it?
Answer:
1.) Chances of picking a black marble: 28/81 or 34.6%
2). 0/81 chances of picking a purple marble or 0%
3.) Chances of picking a red or white marble: 35/81 or 43.2%
4.) Chances of picking a marble whose color has 5 letter in it: 40/81 or 49.4%
Which of the following graphs represents exponential decay?
Answer:
C
Step-by-step explanation:
C is the only viable answer, because it it the only one that decreases as x approaches infinity. Exponential decay decreases, hence the decay part.
The graph of the unknown function C represents exponential decay.
The correct option is C.
What is exponential decay?An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.
The exponential decay function:
Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.
Given:
Two graphs of the unknown functions are given.
And when the value of x approaches to positive infinity,
the value of y decrease exponentially.
And from the above definition,
the graph is C.
Therefore, the graph is C.
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Please help with this
Answer:
D) reflection across the origin
Step-by-step explanation:
How to make 24 using 13,6,9,3
solve for v: 3/5 v= 1/5
Answer:
Step-by-step explanation:
solve for v: simplifying both sides of the equation, then the variable.
Exact Form:
v= 1/3
Decimal Form:
v=0.3
Find two numbers that differ by 8 and whose square roots differ by 1. Those two numbers are ___ and ____
Answer: 12.25 and 20.25
Step-by-step explanation:
20.25 - 12.25 = 8
Square root of 20.25 is 4.5
Square root of 12.25 is 3.5
4.5 - 3.5 = 1
Hope this helped
If you travel 200 miles in 300 minutes. How
fast did you travel in MPH...mile per hour?
Answer:
40 miles per hour
Step-by-step explanation:
Change 300 minutes to hours. There are 60 minutes to hours
300 minutes * 1 hour/ 60 minutes = 5 hours
Now take the miles and divide by hours
200 miles / 5 hours = 40 miles per hour
Answer: 40 mph
Step-by-step explanation: 300 minutes is 5 hours. 40 mph for 5 hours is 200 miles traveled.
8. Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?
Answer:
19.75. The apples cost 19.75 before the tax.
Step-by-step explanation:
0.97(x)=19.16
19.75
Drive a car at a rate of 40 kilometers per hour or drive a car at a rate of 15 meters per second? (With the work please)
Answer:
15 meters per second is equivalent to 54 kilometres per hour.
Answer:
15 meters per second
Step-by-step explanation:
PLZ HELP GUYS I RLLY NEED HELPPP!
i rlly rlly rlly need help, i am not good at mathh! :(((((((((
Answer:
1`. y = 4x+6
2. y = -6x + 29
3. y= 3x+1
4. y = x -2
5. y = 11.5x+ 3
6. y = -2x -4
Step-by-step explanation:
One angle is
102 degrees, the other
is 12 degrees, What is my missing
angle? What is my first and last
name?
Step-by-step explanation:
your missing angle is
102 + 12
=114
the sum of triangle is 180 degree
180 - 114
= 66
the missing angle is 66 degree
Answer:
66 Degrees
Step-by-step explanation:
All angles equal 180 degrees so we know that :
180-102-12 =66
so the angle that is missing is 66 degrees.
Multiply
X2 + 4x + 2
2x2 + 3x - 4
A. 2x4 + 11x3 + 12x2 - 10x - 8
B. 3x2 + 7x-2
C. 2x4 + 23x2 - 10x - 8
D. 2x4 + 12x2 - 8
How do I solve this equation:
-5(n-1)=7(n+3)
Answer:
-3/4
Step-by-step explanation:
The First step is to distribute the 7 in the second part of parentheses.
-5+5-7n=21
-5-7n=21+5
Then collect the terms
-12n=16
Lastly distribute both sides by -12
And the answer is -3/4
Pleeaassee heeellllllppppp
Answer:
Nn
Step-by-step explanation:
how many integers between 17 and 2678 are multiples of 11
Answer:
242 integers
Step-by-step explanation:
We have to find the number of integers between 17 and 2678 which are the multiple of 11.
Divide 17 by 11 = [tex]\frac{17}{11}=1.55[/tex]
Smallest multiple of 11 which is greater than 11 = 2nd multiple = 22
Divide the largest number 2678 by 11 = [tex]\frac{2678}{11}=243.45[/tex]
Largest multiple of 11 which is less than 2678 = 443rd multiple
= 243 × 11
= 2673
Therefore, number of integers between 17 and 2678 multiple of 11
= 243 - 2 + 1
= 242 integers
What is the value of X?
Answer:
45
Step-by-step explanation:
The two angles with measures are a linear pair and supplementary, so their measures add to 180 deg.
3x + x = 180
4x = 180
x = 45
____________________________________
Solution,
X°+3x°=180°( sum of angle in straight line)
or,4x°=180°
or,X=180/4
X=45
The right answer is 45
hope it helps
Good luck on your assignment
___________________________________
Which is the equation of the graphed line written in standard form?
A. y=x
B. x-1/2y=0
C. x-y=0
D. y=1/2x
Answer:
The standard for of this equation is x – y = 0
Firstly, options A and D are not in standard form, so they are not options.
To decided between B and C, we choose a point on the line and see if it works. For example, we'll use (2, 2).
x – y = 0
2 - 2 = 0
0 = 0
This is true for option C. Therefore, it is correct.
hope this helps
A normal distribution has a mean of μ=54 and a standard deviation of σ=6. What is the probability of randomly selecting a score less than X=51? What is the probability of selecting a Random sample of n=4scores with a mean less than m=51? What is the probability of selecting a sample of n=36scores with a mean less than m=51?
Answer:
A)The probability of randomly selecting a score less than X=51 is 0.3085
B)The probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587
C)The probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013
Step-by-step explanation:
Mean =[tex]\mu = 54[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
A)What is the probability of randomly selecting a score less than X=51 i.e. P(x<51)?
Formula : [tex]Z =\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{51-54}{6}[/tex]
Z=-0.5
Refer the Z table for p value
So, P(x<51)=0.3085
So,the probability of randomly selecting a score less than X=51 is 0.3085
B)What is the probability of selecting a Random sample of n=4scores with a mean less than m=51?
Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{51-54}{\frac{6}{\sqrt{4}}}[/tex]
Z=-1
Refer the Z table for p value
So, P(x<51)=0.1587
So, the probability of selecting a Random sample of n=4scores with a mean less than m=51 is 0.1587
C) What is the probability of selecting a sample of n=36scores with a mean less than m=51?
Formula : [tex]Z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z=\frac{51-54}{\frac{6}{\sqrt{36}}}[/tex]
Z=-3
Refer the Z table for p value
So, P(x<51)=0.0013
So,the probability of selecting a sample of n=36scores with a mean less than m=51 is 0.0013
Choose which one you believe doesn't belong, then explain the reason why you chose your answer above! ( thank you :) )
1. 5, 9, 13, 17, 21...
2. 5, 15, 45, 135, 405...
3. 5, 2, -1, -4, -7...
4. 10, 13, 16, 19, 22...
Answer:
2
Step-by-step explanation:
1,3,4 are arithmetic sequences
2 is a geometric sequence
Answer:
number 2
Step-by-step explanation:
i think this right.. its just because 45 doesnt come after 15 when counting by 5's.. 20 does :) hope this helps
A bacteria colony is quickly growing in a petri dish. The number of bacteria, y , is modeled by the function y=2(10)^2 where x is the number of days since the colony started. Baelsed on the equation how many more bacteria are there on day 4 than on day 2?
A. 19800
B. 9900
C. 159600
D. 40
Answer:
C = 159600
Step-by-step explanation:
Because its Y=2 (10) square so times by its self.