In probabilities, variables p and q are often used as complements of another.
The value of q is 0.421The value of p is 0.129The relationship between variables p and q is:
[tex]\mathbf{p+ q = 1}[/tex]
So, we have:
(a) p = 0.579
Substitute 0.579 for p in [tex]\mathbf{p+ q = 1}[/tex]
[tex]\mathbf{0.579 + q = 1}[/tex]
Make q the subject
[tex]\mathbf{q = 1 - 0.579}[/tex]
[tex]\mathbf{q = 0.421}[/tex]
The value of q is 0.421
(b) q = 0.871
Substitute 0.871 for q in [tex]\mathbf{p+ q = 1}[/tex]
[tex]\mathbf{p + 0.871 = 1}[/tex]
Make p the subject
[tex]\mathbf{p = 1 - 0.871}[/tex]
[tex]\mathbf{p = 0.129}[/tex]
The value of p is 0.129
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what is the quotient of
Answer:
9
Step-by-step explanation:
3 x 5 =15 + 3 = 18. so 18 over 5 divided by 2 over 5. you flip the 2nd fraction and multiply. the 5s cancel. 18 ÷2 = 9
angle M and angle N are complementary. The measure of angle M is 38 degrees less than the measure of angle N Find the measure of each angle.
Answer:
M = 26 degrees, N = 64 degrees
Step-by-step explanation:
When 2 angles are complementary, it means they add up to 90 degrees. We can set up a system of equations to represent the situation.
M is measure of angle M
N is measure of angle N
M + N = 90 degrees
M = N - 38 (measure of angle M is 38 degrees less than measure of angle N)
We can then use the second equation to substitute in M in the first equation with N - 38
N - 38 + N = 90
2N - 38 = 90
2N = 128
N = 64 degrees
We plug this value back into the first equation to find M
M + 64 = 90
M = 26 degrees
The measure of ∠M and ∠N are 26° and 64° respectively.
What is a supplementary angle ?Supplementary angles sum to 180°.If two angles are supplementary their sum is 180° and sum of two complementary angles is 90°.
According to the given question angle M and angle N are complementary.
∴ Sum of these two angles ∠M + ∠N = 90°.
Assuming measure of ∠N to be x°,So the measure of ∠M is (x-38)°.
Therefore, x + (x-38) = 90°.
2x = 90° + 38°
2x = 128°.
x = 64°.
∴ The measure of ∠M is (64 - 38 )° = 26°.
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On the grid below, which point is located in the quadrant where the x-coordinate is a negative number and the y-coordinate is a positive number? ASAP!!
Group of answer choices
A
B
C
D
Is it B?
Answer:
B
Step-by-step explanation:
B is on the upper half of the plane meaning its y-value is positive, however it is on the left side of the plane meaning its x-value is negative.
A would be (+,+)
C would be (-,-)
D would be (+,-)
x>-1
help please!!!!!
Answer:
but if it was x>1 it would be less equal to
Step-by-step explanation:
x < 1 is greater than
8 7/3 divided 7 1/2
6 1/2 divided 34/4
23/3 divided 6 2/5
Pls help ASAP
1) 1 17/45
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
31/3 ÷ 15/2
Applying the fractions formula for division,
= 31 × 2/3 × 15
= 62/45
Simplifying 62/45, the answer is
1 17/45
2) 13/17
First:
Convert any mixed numbers to fractions.
Reduce fractions where possible.
Then your initial equation becomes:
13/2 ÷ 17/2
Applying the fractions formula for division,
= 13 × 2/2 × 17
= 26/34
Simplifying 26/34, the answer is
13/17
3) 1 19/96
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
23/3 ÷ 32/5
Applying the fractions formula for division,
= 23 × 5/ 3 × 32
=115/96
Simplifying 115/96, the answer is
1 19/96
What is the decimal equivalent of 2
- ?
3
Answer:
.666
Step-by-step explanation:
is 24:4 equivalent to 6:1
Someone PLZ answer this I willl give brainliest
Answer:
8
1
1/2
20
Step-by-step explanation:
hope helful plsgive brainliest
Answer:
[tex]\frac{1}{2}[/tex] is the 3rd one 1 is the last one 20 is the first one 8 is the second one
Step-by-step explanation:
Algebra 2 11th grade
4. If x = y + 3, then in the second equation you can write
-3 (y + 3) + 3y = 6
Expanding and simplifying gives
-3y - 9 + 3y = 6
-9 = 6
but this is clearly not true, so this system as no solution.
5. Solve the first equation for x :
x + 2y = 4 ===> x = -2y + 4
Substitute into the other equation:
2 (-2y + 4) - 3y = 1
-4y + 8 - 3y = 1
-7y = -7
y = 1
Solve for x :
x = -2•1 + 4
x = -2 + 4
x = 2
6. Solve the first equation for y :
2x - y = 6 ===> y = 2x - 6
Substitute into the other equation:
x + 2 (2x - 6) = -2
x + 4x - 12 = -2
5x = 10
x = 2
Solve for y :
y = 2•2 - 6
y = 4 - 6
y = -2
7. Solve either equation for x :
x + 4y = 10 ===> x = -4y + 10
Substitute into the other equation:
(-4y + 10) - 2y = -8
-6y = -18
y = 3
Solve for x :
x = -4•3 + 10
x = -12 + 10
x = -2
8. Solve the first equation for y :
-2x + y = 1 ===> y = 2x + 1
Substitute into the other equation:
4x - 2 (2x + 1) = 5
4x - 4x - 2 = 5
-2 = 5
This is false, so there is no solution.
9. Solve the second equation for x :
-x - 4y = -3 ===> x = -4y + 3
Substitute into the other equation:
2 (-4y + 3) + 8y = 6
-8y + 6 + 8y = 6
0 = 0
This means any value of x and y will satisfy these two equations, so there are infinitely many solutions.
Solving Exponential Equations and Inequalities Solve for x 169% = 13"
Answer:
x = 100/13
Step-by-step explanation:
x 169% = 13
x = 13/169%
x = 13/1.69 = 13/169/100
x = 13 × 100/169
x = 100=13
[tex]\\ \sf\longmapsto 169\%x=13[/tex]
[tex]\\ \sf\longmapsto 1.69x=13[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{13}{1.69}[/tex]
[tex]\\ \sf\longmapsto x=7.69[/tex]
Find the equation in slope-intercept form that describes line.
A line through (-1, 1) and (2,3)
Answer:
y = 2/3 x + 5/3.
Step-by-step explanation:
Slope m = (3-1)/(2-(-1)) = 2/3.
y - y1 = m(x - x1)
y - 1 = 2/3(x - (-1))
y - 1 = 2/3(x + 1)
y - 1 = 2/3 x+ 2/3
y = 2/3 x + 5/3.
Plz help me I don’t understand. Thanks
there are two answer these are them:
5x + 2y = 10 and 15x = -6y - 9
Step-by-step explanation:
Winter fills 2/5 of a water bottle in 1/4
of a minute. How many bottles can
Winter fill in 1 minute?
Answer:
1.6 (decimal), 1 6/10 (proper), and 8/5 (improper)
Step-by-step explanation:
If it’s 2/5 in 1/4 and to get one while you need four 1/4 you need to multiply to get how much it can fill in that 4/4. To do this multiply 2/5 by 4 which is 1.6 (decimal) and 1 6/10 fractional. Or if you want it improper, 8/5
420 seconds to 10 minutes
Answer:
420 seconds is equal to 7 min
So 7 to 10 or 7 : 10
pls brainliest
These are the steps that you should follow in order to make the necessary calculations to convert 420 Seconds to Minutes. In order to convert from [s] to [min], we have to devide the amount of Seconds by 60.
Then the second step, is to substitute the amount of Seconds with the value of 420 and calculate the division. After successfuly calculating it the result should for 420 Seconds to Minutes should be 7
So 7 to 10 or 7 : 10
Hope this helped!
Have a great day
hello can anyone please help with this.
Selina takes 1 and a half hours to cycle 12 miles.
What is her average cycling speed?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Given terms :
Distance covered (d) = 12 miles
Time taken (t) = 1.5 hour
Average speed :
[tex]v = \dfrac{d}{t} [/tex][tex]v = \dfrac{12}{1.5} [/tex][tex]v = 8 \: \ \: mph[/tex]average speed = 8 mph
Answer:
8mph
Speed= Distance/Time
12/1.5= 8mph
[tex]\sqrt{2,25}.1,46-2,25.0,02\\[/tex]
Answer:
i dont understand what your asking
Step-by-step explanation:
PERIOD
DATE
NAME
Practice
Solving Equations with the Variable on Each Side
Justify each step.
1. 4k - 3 = 2k + 5
4k-3-2k = 2k +5 - 2k
2k-3 = 5
2k - 3 + 3 = 5 + 3
2k = 8
2k 8
N100
2
k=4
Answer:
K = 4
Step-by-step explanation:
In pic
(Credits: Symbolab)
(Hope this helps can i pls have brainlist (crown)☺️)
Answer:
The answer is 4 or N100. Have an good day.
Please help me due in an hour
Answer:
Ok so it would be square root 1
Step-by-step explanation:
I really need help i need this ASPA
Answer:
Vertical angles
Actually the correct answer should be Vertically opposite angles
Can someone help me plz!!
Answer:
RMT or TMR
Step-by-step explanation:
The angle between the sides is just the angle at which they meet. Since MR and TM meet at M, the resulting angle must include M as well as the ends of the angle, T and R.
What is the effect on the graph of f(x) = x2 when it is transformed to
h(x) = 2x2 +15?
A. The graph of f(x) is horizontally compressed by a factor of 2 and
shifted 15 units to the left.
B. The graph of f(x) is vertically stretched by a factor of 2 and shifted
15 units up.
C. The graph of f(x) is vertically stretched by a factor of 2 and shifted
15 units to the left.
D. The graph of f(x) is horizontally stretched by a factor of 2 and
shifted 15 units up.
SUBMIT
Answer: A. The graph of f(x) is horizontally compressed by a factor of 2 and
shifted 15 units to the left.
Step-by-step explanation:
Hope this helps!
what should the exponent be for 11 am
Answer:
-1
---------------------
Answer:
2nd power is 121
3rd power is 1331
Step-by-step explanation:
LOL
Help please help me
Answer:Hi
Step-by-step explanation:
what is 17 = x - 15 with written work please
Answer:
32
Step-by-step explanation:
15+17=32
x=32
hope this helps
32
Step-by-step explanation:
17 = x - 15
or, 17 + 15 = x
or, 32 = x
Therefore, x = 32 Ans
Jerry played with 3 friends today, all at different times. He played with Tommy for 1 7/8 hours, then Nathan for 1 3/4 hours, then Chris for 3/2 hours.
How many hours did Jerry play with his 3 friends today?
Answer:
4hrs 7 minutes and 30 seconds
Step-by-step explanation:
1 7/8 = (1=60) + (7/8 * 60) = 1 : 52:50 time played with Tommy 1 3/4 = (1=60 ) ( (3/4 * 60) = 1:45:00 time played with Nathan 3/2 = (3/2 *60) = 90 = 1:30:00 time played with Chris Total played with 3 friends = 1:52:50 + 1:45:00+1:30:00= 4:07:50 = 4hrs 7 minutes and 30 seconds
4x - 1 < 7 i don’t know what to do
Find the slope, m, and y-intercept, b, for the graph of the linear equation represented by the table below.
Answer:
y = -3x - 2
Step-by-step explanation:
M: -3
B: -2
if x represent a base number in the following equation what is the value of x in 3x+101x-24x=8
Answer:
x = 1/10Step-by-step explanation:
if x represent a base number in the following equation what is the value of x in 3x+101x-24x=8?
3x + 101x - 24x = 8
80x = 8
x = 1/10
-------------------------
check
3 * 1/10 + 101 * 1/10 - 24 * 1/10 = 8
8 = 8
the answer is goodhow do you solve y=x+12 y=-18
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
9+99999999999999999999
Answer:
1e20 or written as 100,000,000,000,000,000,008