Ummm i don't know what the pmf would be but the probability of grabbing a blue sock would be 10 out of 100...
Show that:
[tex]\bigg(\frac{ \sqrt{7} + i \sqrt{3} }{\sqrt{7} - i \sqrt{3} } + {\frac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } } \bigg) \: is \: real \\ [/tex]
Please answer this question.
Step-by-step explanation:
[tex]\large\underline{\sf{Solution-}}[/tex]
Consider,
[tex]\rm \longmapsto\:\dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } [/tex]
On taking LCM, we get
[tex]\rm \: = \: \dfrac{ {( \sqrt{7} + i \sqrt{3})}^{2} + {( \sqrt{7} - i \sqrt{3})}^{2} }{( \sqrt{7} + i \sqrt{3})( \sqrt{7} - i \sqrt{3})} [/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}}} \\ [/tex]
and
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}} \\ [/tex]
So, using these Identities, we get
[tex]\rm \: = \: \dfrac{2\bigg[ {( \sqrt{7})}^{2} + {(i \sqrt{3}) }^{2} \bigg]}{ {( \sqrt{7}) }^{2} - {(i \sqrt{3})}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{2(7 + 3 {i}^{2})}{7 - {3i}^{2} } [/tex]
We know,
[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1}}} \\ [/tex]
So, using this, we get
[tex]\rm \: = \: \dfrac{2(7 - 3)}{7 + 3} [/tex]
[tex]\rm \: = \: \dfrac{2 \times 4}{10} [/tex]
[tex]\rm \: = \: \dfrac{4}{5} [/tex]
Hence,
[tex] \red{\rm\implies \:\boxed{\sf{ \dfrac{ \sqrt{7} + i \sqrt{3} }{ \sqrt{7} - i \sqrt{3}} + \dfrac{ \sqrt{7} - i \sqrt{3} }{ \sqrt{7} + i \sqrt{3} } \: is \: purely \: real}}}[/tex]
-2 1/3+(1 3/4 I need help for a test so if you guys can help me I'll be happy :D
What is \frac{1.88x10^6}{2000} in scientific notation?
Answer:
Its actually 9.4 × 10²
Step-by-step explanation:
A laboratory is testing a product by heating or cooling it at different rates. The table shows the results of four tests. Drag a number to each empty cell to complete the table.
ill give brainliest
Answer:Cell content
Started at 20° and dropped 4° each minute -4
Cell content
Started at −20° and rose 1° each minute 1
Cell content
Started at 20° and dropped 1° each minute -1
Cell content
Started at −20° and rose 4° each minute 1
Step-by-step explanation:
Answer:
Cell content
Started at 20° and dropped 4° each minute -4
Cell content
Started at −20° and rose 1° each minute 1
Cell content
Started at 20° and dropped 1° each minute -1
Cell content
Started at −20° and rose 4° each minute 1
Step-by-step explanation:
Betty was charged 15 1/2% interest for the year
on her loan of £2 400. James was charged 12% interest for the year on his loan of £4 000.
How much more interest did James pay for the
year?
HELP PLEASE
Answer: James was charged with $180 more for the year that Betty
Step-by-step explanation: So I dont know how your money currency works sorry, also Ive never done this kind of math problem so I dont know if its right
Solve the quadratic equation numerically (using tables of x- and y-values).
x2 + 9x + 18 = 0
a. x = 6 or x = 2
c. x = -6 or x = -3
b. x = 6 or x = -3
d. X = 6 or x = -1
Answer:
Third Option: [tex]x=6[/tex] or [tex]x=-3[/tex]
Step-by-step explanation:
[tex]x^2+9x+18=0[/tex]
[tex](x+6)(x+3)=0[/tex]
[tex]x=6[/tex] or [tex]x=-3[/tex]
May I please receive help???
Please
Answer:
sorry i don't know the answer!
Step-by-step explanation:
if i knew i would'v helped..
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
this is algebra 1 id appreciate it if you could help me thx!
Evaluate x(y+3)/(3+y)z for x = 2, y = 5, and z = 1.
4
3
2
1
Answer:
2
Step-by-step explanation:
hope this helps
PLSSS HLEPP ME OUTT ITS URGENTTTT
Answer:
[tex]P(B) = \frac{4}{18} = \frac{2}{9} = 0.2[/tex]
Step-by-step explanation:
Sample space 2+5+7+4=18
Answer:
4/18 or 2/9
Step-by-step explanation:
The total number of balls = 2 + 5 + 7 + 4 = 18
4 out of the 18 balls are blue ∴ the probability is 4/18 or 2/9
Hope this helps!
the line through (6, 1) and (-3,5) in
slope-intercept form
Answer: y = -4/9x + 11/3
Step-by-step explanation:
Suppose you have $20 in a bank account. You start saving $5 each week. Your friend has $5 in his account and is saving $10 each week. Assume that neithet you nor your friend makes any withdrawls.
a) After how many weeks will you and your friend have the sane amount of money
b) How much money will you have when your balances are the same?
Answer: y = $35 & 3 weeks
Step-by-step explanation:
Answer:
A) 3 week
B) $35
Step-by-step explanation:
$20-$5=15
$20+$15=35
Jim and his friends went out for dinner at a restaurant and the bill was $68.50 if Jim wants to tip 18% what should the tip be
Answer:
$12.33
Step-by-step explanation:
Since the bill is $68.50, and Jim wants to tip 18%, it will be $80.83 in total
18% = 0.18
since you don't want to DECREASE the bill, it's 1.18
1.18 x 68.5 = 80.83
hope this helped :)
can somebody help me with these 2 questions plz
Answer:
1) 14/3 (D)
2) -0.6 (C)
Step-by-step explanation:
1) 5-(2/3)*(2/3//4/3)
2)|-1.2-2.03|-2.03/-2
The types Flowers on the table make up an arrangement. What percent of the flowers in the arrangement her roses
Answer:
60%
Step-by-step explanation:
You could make a fraction to help solve for the answer. The denominator is 25 because you add 4 + 15 + 6. The numerator is 15, because it is the number of roses. 15/25 as a percent is 60% because you just times both the numerator and denominator by 4.
Which of the following best describes the algebraic expression 10x +2?
A. The sum of ten times a number and two.
B. Ten times the sum of a number and two.
C. The product of ten plus a number and two.
D. Ten times the quantity of a number plus two.
Step-by-step explanation:
option A describes the algebraic expression 10x + 2.
hope this answer helps you dear!
If there are three black, four white, two blue, and four gray socks in a drawer, what would be the probability of picking a blue sock? Round your answer to the nearest tenth.
Answer:
3/13 which is 0.23 as a decimal
Step-by-step explanation:
6) Which numbers are irrational?
7.27, 5/9, square root of 15 , square root of 196
Answer:
The square route of 15 is irrational
Use the slope-intercept form to graph the equation y = -4/3 x + 1
Answer:
the y intercept is 1 so you plot (0,1) on the graph, then you take -4/3 and go up 4 from the y intercept and over the left 3 times. Finally you go back to the y intercept and got down 4 and to the right 3 time then connect it with a line with arrows on both ends. hope this helps!
HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Commutative Property
Step-by-step explanation:
Hope it helps. Please mark me brainliest if you would :D
i will give you brainliest if you help
Power: An expression that has a ______________ and an __________________.
Answer:
base number and exponent
Step-by-step explanation:
A negative correlation means ________. a third variable eliminates a correlational relationship one variable decreases as the other increases there is a relationship between two variables, but it is not statistically significant two variables increase together, but they are associated with an undesirable outcome
Answer:
A negative correlation means one variable decreases as the other increases.
Algebra one please help
Answer: a
Step-by-step explanation: In the picture
please give me a brainliest answer
Step-by-step explanation:
just look at the graph and check the typical "special" points.
e.g. when x = 0, and when y = 0, and maybe (depending on the curve) some other interesting ones.
so, what does the graph tell for x = 0 ?
it says y = 5.
that rules out C and D, because they would deliver y = 1/5 for x = 0.
so, it can only be A or B.
now, what does the graph tell us for y = 0 ?
ok, it tells us, x = 1.
that does not help us in this case, as both, A and B deliver y = 0 for x = 1
so, let's look at another good point. good points are points, where we can see pretty precisely their coordinates on the chart, and where these coordinates are even integer numbers.
I see e.g.
x = 2, and y = -5
let's try A
-5 = -5 × cubic root(2 - 1) = -5 × cubic root (1) = -5×1 = -5
so, -5 = -5, that is correct.
let's verify by checking also B
-5 = 5 × cubic root (1 - 2) = 5 × cubic root (-1) = 5×-1 = -5
-5 = -5, again, this is correct.
hmmmmm.
when we think about it, in fact, A and B are the same function (by the way, C and D are equal to each other too).
either your teacher made a mistake or tried to trick you.
A and B are both the right answer.
why ?
A (I only write "cr" for cubic root now)
y = -5 × cr(x - 1) = 5 × -1 × cr(x - 1) = 5 × cr((-1)³(x - 1)) =
= 5 × cr(-1 × (x - 1)) = 5 × cr(x×-1 - 1×-1) = 5 × cr(1 - x) = B
so, A and B are actually equal.
Think about all the ways in which a circle and a parabola can intersect.
Select all of the number of ways in which a circle and parabola can intersect.
0
1
2
3
4
5
Answer:
3
Step-by-step explanation:
Answer:
0,1,2,3,4
Step-by-step explanation:
trustttttt meee
if x=1 and y =-2 what's 3(2-x)+4(3-y)
explanation please
Answer:
23
Step-by-step explanation:
Please lemme know soon, ty
Answer:
PHOTO IS BLACK . SO , I CAN'T ANSWER UR QUESTION
Find the sample standard deviation and the population standard deviation of the data set.
17, 37, 56, 16, 12, 16, 19, 45, 14, 37, 21, 26, 43, 46, 42
a.
5 - 13.97
5 - 3.73
0= 14.46
0 - 3.61
b.
d.
5 - 14.46
5-3.61
0-13.97
0 - 3.73
Please select the best answer from the choices provided
А
Answer:
Step-by-step explanation:
a
A health club charges a one-time sign-up fee and a monthly membership fee. The
equation y = 35x + 20 represents what the health club charges. Find the rate of
change.
=
Answer:
+35 per month
Step-by-step explanation:
Can anyone help me, I can’t find the answer.
Answer:
(p = 2) = -2
Step-by-step explanation: