A room is made up of 3 doctors and 7 nurses. If one is selected at random, what is the probability that they choose a nurse?
Answer:
7/10
Step-by-step explanation:
There are 10 people in total and 7/10 of them are nurses
or 0.7 out of 1 probability
The conjugate of (2+i)²/3+i, in the form of a+ib, is
13/2 + i(25/2)
13/10 + i(-15/2)
13/10 +(-9/10)
13/10+(9/10)
Given that
(2+i)²/(3+i)
On multiplying both numerator and the denominator with (3-i) then
⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]
⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]
⇛ [(2+i)²(3-i)]/[(3²-i²)
⇛ [(2+i)²(3-i)]/(9-i²)
⇛ [(2+i)²(3-i)]/[9-(-1)]
Since ,i² = -1
⇛ [(2+i)²(3-i)]/(9+1)
⇛ [(2+i)²(3-i)]/10
⇛ [{2²+i²+2(2)(i)}(3-i)]/10
⇛ (4+i²+4i)(3-i)/10
⇛ (4-1+4i)(3-i)/10
⇛ (3+4i)(3-i)/10
⇛ (9-3i+12i-4i²)/10
⇛ (9+9i-4(-1))/10
Since, i² = -1
⇛(9+9i+4)/10
⇛(13+9i)/10
⇛ (13/10)+ i (9/10)
We know that
The conjugate of a+ib is a-ib
So,
The conjugate of (13/10)+ i (9/10) is
(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)
Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)
Additional comment:
The conjugate of a+ib is a-ib and i = -1(a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².
Three numbers are in the ratio 3.5 7. If the largest number is multiplied by 3, the result is 26 more than the sum of the first and second numbers. Use an algebraic
solution to find the numbers
Answer:
6,10,14
Step-by-step explanation:
If you type 30 words per minute, what is the words per minute ratio?
Answer:
30:1
Step-by-step explanation:
If you type 30 words every minute, it would be 30 words to 1 minute, which is 30 words : 1 minute, 30:1.
plz help!:> also your so awesome, and I hope you have an amazing day!
pls help asap! i will mark brainliest!
What is an equation of the line perpendicular to y =-3x - 5
that contains (-3,7)
Answer:
y=1/3x-5
Step-by-step explanation:
when it is perpendicular you just flip the -3x and he its reciprocal
Write an equation for the n term of the arithmetic sequence -1, 4, 9, 14, . Then find a50
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1
To find the common difference subtract the previous term from the next term
We have
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5
Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]
Hope this helps you
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)dwhere a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1To find the common difference subtract the previous term from the next term
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]
3/7 rounded to 3 decimal places
Answer:
0.429 is the correct answer.
please help asap…………
Step-by-step explanation:
the most common form of line equation is
y = ax + b
a is the slope of the line. it is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
b is the y-intercept (the y value when x = 0).
so, in our case, the slope is 2, the y-intercept is -3.
the y-intercept gives you the first point : (0, -3)
using the slope of 2 we know that for every unit x increases, y increases by 2.
so, you can pick a next point e.g. x = 2, which makes y = -3 + 2×2 = -3 + 4 = 1
that gives us (2, 1)
mark both points on the chart and then draw a straight line through both points.
y=-2x + 7
y = 5х – 7
Find the solution
Answer:
x = 2
Step-by-step explanation:
Given:
y = -2x + 7 y = 5х – 7If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.
=> -2x + 7 = 5х – 7
=> 7x = 14
=> x = 2
Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.
=> y = 5х – 7
=> y = 5(2) - 7
=> y = 10 - 7
=> y = 3
Hoped this helped.
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS PLS THANKS
Answer: 4
Step-by-step explanation: I divided 200 by 42 and got 4.761904762. Then I multiplied 42 by 4 and got 168. 200-168 is 32. You would only have 32 dollars left and that is not enough to have the car for another day.
PLS ASAPPPPPPPPPP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Slope is 4.
y=4x + 1
Take coordinates (0,1) & (1,5)
Rise/Run
5-1/1-0 = 4
Two thousand four hundred sixty-three tickets were sold for a 2-day basketball
tournament. For the first day of the tournament, 1,087 tickets were sold. How many
tickets were sold on the second day of the tournament?
Answer:
Step-by-step explanation:
1376!
Answer:
yeah it's 1367
Step-by-step explanation:
I did the math!!!!
Find the intercept the slope of this line.
Answer:
the last option
Step-by-step explanation:
what is the perimeter of a pool that is 30 meters long and 18 meters wide?
Answer:
Step-by-step explanation:
Perimeter=2(length+widht)
Given values:
length=30 m
width=18 m
Substitute values in formula:
Perimeter=2(20+18) m
Perimeter=2(38) m
Perimeter= 76 m
If you need to ask any questions, please let me know.
Which measure of center is most appropriate, and what
is the value of the measure of center?
You are a sports agent's assistant. You are preparing a
report on contracts you have obtained for the agent's
clients. You recently negotiated the following annual
contracts: $2.8 million, $18.9 million, $1.5 million, $1.2
million, $1.5 million, and $3.5 million per year. The
standard deviation of the data is 6.3, and the range is
17.7.
O median; $1.35 million
O mode; $1.5 million
O median; $2.15 million
O mean; $4.9 million
O mean; $5.58 million
Mark this and return
Save and Exit
Next
Submit
Answer:
Median;$1.35 million
Step-by-step explanation:
You are a sports agent’s assistant. You are preparing a report on contracts you have obtained for the agent’s clients. You recently negotiated the following annual contracts: $2.8 million, $18.9 million, $1.5 million, $1.2 million, $1.5 million, and $3.5 million per year. The standard deviation of the data is 6.3, and the range is 17.7.
Which measure of center is most appropriate, and what is the value of the measure of center?
median; $1.35 million
mode; $1.5 million
median; $2.15 million
mean; $4.9 million
mean; $5.58 million
Answer: 1.35 is wrong.
Step-by-step explanation:
4. Find a polynomial function of degree 3 with the given zeros. Write your answer in the form:
Ax) = ax + bx² + cx+d
x= -2, x=-1, x=2
Answer:
I'm assuming the equation "Ax) = ax + bx² + cx+d" is really meant to read:
A(x) = ax^3 + bx² + cx+d
A(x) = x^3 + x^2 -4x -4
Step-by-step explanation:
(x+2)*(x+1)*(x-2) [This reflect the fact that x= -2, x=-1, x=2 all result in a zero]
Multiply this out to get A(x) = x^3 + x^2 -4x -4
a.
Write the equation in slope intercept form of a line that goes through the points
(-7, 10) and (1,4). Hint: once you find m, you will need to solve for b
Answer:
y= -¾x + 19/4
Step-by-step explanation:
get gradient and substitute
I rlly need help it’s due tmrw
Answer:
3.Top: |-80| + |50| = 80 + 50 = 130m
Bottom: same as top
Left: |50| + |-20| = 50 + 20 = 70m
Right: same as left
4.
130m+130m+70m+70m=400m
The perimeter is 400 meters
"Lin is shopping for a couch with her dad and hears him ask the salesperson, “How much is your commission?” The salesperson says that her commission is 5.5 % of the selling price.
How much commission will the salesperson earn by selling a couch for $495?"
Answer:
Commission = $24.75
Step-by-step explanation:
Commission = Sale Price × Commission %
Commission = $450 × .055 5.5% = as a decimal (.055)
Commission = $24.75
With an 18% discount, Joah was able to save $13.23 when buying a coat.
What was THE original price?
Answer:
The original price of the coat is $ 73.5Step-by-step explanation:Let x be the original price( in dollars ) of the coat.
Step-by-step explanation:
Tisha is drawing stars in her notebook. She draws 999 stars on the first page, 999 stars on the second page, 999 stars on the third page, and 999 stars on the fourth page. What kind of sequence is this?
Answer:
The sequence is that, for every page 999 stars are drawn.
Step-by-step explanation:
999
999
999
999
3996
--
The evolution of 999 began when artist Juice WRLD decided to turn the evil number 6 into good... making and upside down 6 become a 9. Think of it as, "turn that frown upside down", or "turn evil into good".
HELPPP.!! I don’t understand
A group of 40 people goes to a football game. Each ticket to the game costs $55. Each person pays $8 for transportation to and from the game. What is the total cost for the 40 people to go to the game?
man to be honest there is a girl i really like should i tell her how i feel
Answer:
I think if you haven't hung out with her a lot, you should start hanging out with her, getting along, until you have built up courage to tell her you have feelings for her.
Solve the equation: (5y + 2)(y - 3) = -13(2 + y)
Answer:
2i
Step-by-step explanation:
Distribute:
(5y + 2)(y - 3)
5y^2-15y+2y-6
Which can be simplified into 5y^2-13y-6
Now the equation now looks like this: 5y^2-13y-6=-13(2+y)
For -13(2+y) multiply -13 with 2+y
Which is -26-13y
5y^2-13y-6=-26-13y
Simplify:
5y^2+20
Which can be simplified into 5(y^2+4)
y^2+4=0
y^2=-4
y=2i
Hope this helps!
PLEASE HELP ME WILL GIVE BRAINLIEST!!!!!
How do you graph the solution set to a system of linear inequalities in two variables (pretend you are the teacher and you are teaching me how to graph it)?
Answer:
Graph both of the line inequalities on the same coordinate graph, and then the overlap will be your answer.
Step-by-step explanation:
An example is attached! The purple-ish on the right would be your solution set.
I mode
Simplify the expression.
2(8 + 24) = 23 x 4
X
X
ngles.
How do you simplify this?
Answer:
okay so IM not 100 percent sure but I think its 64 = 92
Pls help i only have 20 mins to complete
Plz post your question now....