Answer:
x
Step-by-step explanation:
x
Answer:
x = 6 + 4.796i and x = 6 - 4.796i
Step-by-step explanation:
For this problem, we will simply apply the quadratic formula to find the values of x. The quadratic formula is as follows:
x = [-b +/- sqrt(b^2 - 4ac)] / 2a
Using the formula let's find the values of x.
x^2 - 12x - 6 = -65
x^2 - 12x - 6 + 65 = -65 + 65
x^2 - 12x + 59 = 0
The coefficient of x^2 is a, the coefficient of x is b, and the constant 59 is c.
Hence, for our formula we have the following values:
a = 1
b = -12
c = 59
x = [-b +/- sqrt(b^2 - 4ac)] / 2a
x = [-(-12) +/- sqrt( (-12)^2 - 4(1)(59) ) ] / 2(1)
x = [ 12 +/- sqrt ( 144 - 236 ) ] / 2
x = [ 12 +/- sqrt ( -92 ) ] / 2
x = [ 12 +/- sqrt ( -4 * 23 ) ] / 2
x = [ 12 +/- 2i sqrt(23) ] / 2
x = 6 +/- i sqrt(23)
Hence from the formula, we have two possible values for x, both complex solutions. Note, i is an imaginary number.
x = 6 + i sqrt(23) and x = 6 - i sqrt(23)
x = 6 + 4.796i and x = 6 - 4.796i
Cheers.
Marcus hiked 4 3/2 miles. John hiked 3 1/3 miles. How much further did Marcus hike?
Answer:
2.16666666667
plz give me brainliest
15% of X is 20 what is 23% of X
John has 6 pancils, 3 blue pens, 5 black pens, and 2 red pens in a cup on his desk Without looking, John pulls a writing utensil out of the cup. Enter the probability that John pulls out a pencil.
Answer:
john has a 6 out of 10 chance of picking a pencil
Answer:
P=37.5%
Step-by-step explanation:
Frequentist Probability
The probability of an outcome is defined as the frequency of the number of times the outcome occurs relative to the number of times that it could have occurred.
The equation to calculate the probability is:
[tex]\displaystyle P=\frac{f}{n}[/tex]
Where f is the number of favorable cases and n is the total cases.
John has in a cup of his desk:
6 pencils
3 blue+5 black+2 red pens=10 pens
Picking one of the utensils from the cup can be done in 16 different ways. That is the total number of cases n=16
The outcome of taking a pencil can be done in 6 ways. That is the number of favorable cases. f=6.
The probability is:
[tex]\displaystyle P=\frac{6}{16}[/tex]
Simplifying:
[tex]\displaystyle P=\frac{3}{8}[/tex]
Or expressed as a percentage:
P=3/8*100%
P=37.5%
how many days are in 2 years + 18 months?
please help!!!!
Answer:
1277
Step-by-step explanation:
Answer:
1278.04
Step-by-step explanation:
Why? In 1 year there are approximately 365.24 days, but in 1 month there are approx 30.42 days.
So 365.24 × 2 = 730.48
And 30.42 × 18 = 547.56 (+
-----------------------
1278.04
Hey
What’s 8=D mean? I see it all the time but can’t figure it out! Help! My peers laugh at me. Is it simple math?
Answer:
it's a dirty joke, like when you type things into a calculator and turn it upside down to make it look like a word. It's not an equation
Step-by-step explanation:
Answer:
its a depiction using symbols from a calculator about mens sexual organs its really dirty and you shouldn't use it especially if you are too inoccent to know what it is
The length of a rectangle is 11 feet more than the width. If the perimeter is 46 feet, then what is the length of the rectangle, in feet?
Answer:
Hi there!
Your answer is:
The length is 17
Step-by-step explanation:
L= 11+w
P=46
perimeter formula:
W+W+L+L = P
W+W+(11+w)+(11+w) = P
First solve for W
4W+22 = 46
-22
4w=24
/4
w=6
Now plug in W for the L formula
l=11+w
L= 11+ 6
L=17
*
1. What is the measure of angle A?
A box contains 180 wooden cubes. You open the top of the box and count 9 cubes across the front and 4 cubes along a side. How many layers of wooden cubes are in the box?
Answer:
5
Step-by-step explanation:
9 x 4 = 36
180/36 = 5
Cual es El opuesto de 0?
Answer: no hay opuesto de cero, cero es el último número de positivos y negativos
Write the following repeating decimal using a bar over the repeated digit(s).
0.355555555...
Answer:
just write 0.35 and write a line like this "---" above the five since it's the number repeating.
Step-by-step explanation:
What is the greatest common divisor of 6, 9, and 12? *
If: \qquad AC = 64 AB = 7x + 8, and BC= 3x+6, Find BC
The answer is 21.
First you Add both AB and BC which is 10x +14. Then you put 64 into the equation. 10x+14=64. Subtract 14 from 64 which is 50. So 10x=50. Then divide 10 from 50. which would be x=5. So if you plug it in. It would be 21.
According to an airline, flights on a certain route are on time % of the time. Suppose flights are randomly selected and the number of on-time flights is recorded. (a) Explain why this is a binomial experiment. (b) Find and interpret the probability that exactly flights are on time. (c) Find and interpret the probability that fewer than flights are on time. (d) Find and interpret the probability that at least flights are on time. (e) Find and interpret the probability that between and flights, inclusive, are on time.
Answer:
(a) Explained below.
(b) 0.0294
(c) 0.0173
(d) 0.09827
(e) 0.0452
Step-by-step explanation:
The complete question is:
According to an airline, flights on a certain route are on time 80% of the time. Suppose 25 flights are randomly selected and the number of on-time flights is recorded.
(a) Explain why this is a binomial experiment.
(b) Find and interpret the probability that exactly 16 flights are on time.
(c) Find and interpret the probability that fewer than 16 flights are on time.
(d) Find and interpret the probability that at least 16 flights are on time.
(e) Find and interpret the probability that between 14 and 16 flights, inclusive, are on time.
Solution:
(a)
Let the random variable X be defined as the number of on-time flights.
A Binomial experiment has the following properties:
There are a fixed number of trials (n). Each trial are independent of the others. Each trial has only two outcomes: Success and Failure Each trial has the same probability of success (p).If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.
All of these properties can be confirmed for the random variable X.
Thus, this is a binomial experiment.
(b)
Compute the probability that exactly 16 flights are on time as follows:
[tex]P(X=16)={25\choose 16}(0.80)^{16}(0.20)^{25-16}[/tex]
[tex]=2042975\times 0.0281475\times 0.000000512\\=0.029442375072\\\approx 0.0294[/tex]
Thus, the probability that exactly 16 flights are on time is 0.0294.
(c)
Compute the probability that fewer than 16 flights are on time as follows:
[tex]P(X<16)=\sum\limits^{15}_{x=0}{{25\choose x}(0.80)^{x}(0.20)^{25-x}}[/tex]
[tex]=0.0000+0.0000+....+0.011777\\=0.0173[/tex]
Thus, the probability that fewer than 16 flights are on time is 0.0173.
(d)
Compute the probability that at least 16 flights are on time as follows:
[tex]P(X\geq 16)=1-P(X<16)[/tex]
[tex]=1-0.0173\\=0.9827[/tex]
(e)
Compute the probability that between 14 and 16 flights, inclusive, are on time as follows:
[tex]P(14\leq X\leq 16)=\sum\limits^{16}_{x=14}{{25\choose x}(0.80)^{x}(0.20)^{25-x}}[/tex]
[tex]=0.004+0.0118+0.0294\\=0.0452[/tex]
Thus, the probability that between 14 and 16 flights, inclusive, are on time is 0.0452.
Judy’s Cake Shop makes fresh cakes to customer orders. After receiving the order by Judy’s assistant, which takes 2 minutes, Judy then takes 8 minutes to mix the ingredients for the cake and loads a cake pan for baking. Then the cake is put into the oven for 30 minutes. The oven can hold three cakes at one time. When the cake is taken out of the oven, it is cooled for 1 hour. The assistant then takes 2 minutes to pack the cake for pickup and bills the customer, which takes 3 minutes. a. What is the capacity of the process, and what is the bottleneck? b. What is the throughput time for a typical cake? c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Time taken to receive order = 2 minutes
Ingredient mixing and cake loading = 8 minutes
Baking time = 30 minutes
Number of cakes oven can hold at a time = 3
Cooling time = 1 hour = 60 minutes
Cake packing = 2 minutes
Billing customer = 3 minutes
a. What is the capacity of the process, and what is the bottleneck?
The capacity of the process:
Within an hour : two bakings can be done =(30 minutes * 2) = 60 minutes
Also oven can hold 3 cakes, so, 3 cakes can be baked at a time.
Hence, 3 cakes in 30 minutes ;
6 cakes in an hour;
Hence, capacity of the process is 6cakes per hour.
The bottleneck is the oven, because if the number of ovens were to be increased, the process capacity will increase, similarly, if one of the oven gets faulty, then the process capacity reduces further.
b. What is the throughput time for a typical cake?
The throughput time, is the summation of all the time taken to fully complete an order :
Receipt of order + mixing + baking + cooling + packing + billing
2 + 8 + 30 + 60 + 2 + 3 = 105 minutes
c. If on average five orders are taken per hour, how many cakes are there in the process (on average)?
(Throughput time / 60) * average number of order
(105/60) * 5
= 1.75 * 5
= 8.75
what's the answer? please help
Answer:
the slope is -7/3
Step-by-step explanation:
8-15/10-7
-7/3
The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern History—and the chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 45 sections total, there are 4,700 students who would like to take a course, and there are 58 professors to teach them. Sections of Ancient History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200 students each. Modern History sections are taught by a team of two professors, while Ancient and Medieval History need only one professor per section. How many sections of each course should the chair schedule in order to offer all the sections that they are allowed, accommodate all of the students, and give one teaching assignment to each professor?
Answer:
The number of sections in Ancient history is 10, number of students in Medieval history is 22 and the number of students in Modern history is 13.
Step-by-step explanation:
[tex]x[/tex] = Number of sections in Ancient history
[tex]y[/tex] = Number of sections in Medieval history
[tex]z[/tex] = Number of sections in Modern history
The number of sections that are allowed is 45 so
[tex]x+y+z=45[/tex]
The number of students in each section is 4700 where 100 of them take ancient history 50 of them take medieval history and 200 take modern history so
[tex]100x+50y+200z=4700[/tex]
The number of professors is 58 where Ancient and Medieval History need only 1 professor per section and Modern History sections are taught by a team of 2 professors, so
[tex]x+y+2z=58[/tex]
Solving the first and last equations by subtracting them we get
[tex]-z=-13\\\Rightarrow z=13[/tex]
Substituting this value in the second equation and first equation we get
[tex]100x+50y+2600=4700\\\Rightarrow 100x+50y=2100\\\Rightarrow 2x+y=42[/tex]
[tex]x+y+13=45\\\Rightarrow x+y=32[/tex]
Solving these equations by subtracting them we get
[tex]x=10[/tex]
[tex]x+y=32\\\Rightarrow y=32-10=22[/tex]
So, [tex]x=10, y=22, z=13[/tex]
Hence, the number of sections in Ancient history is 10, number of students in Medieval history is 22 and the number of students in Modern history is 13.
Divide.
4 1/5 divided by 2/3
Express your answer as a mixed number in simplest form.
Enter your answer in the box.
Answer:
63/10 or 6 3/10
Step-by-step explanation:
Turn 4.131313 into a mixed fraction
Answer:
1313
4 -------
10000
Step-by-step explanation:
just imagine if they were a fraction
stwyrthegfcvidfghhuw cgy5wd
A clothing company wants to ship more items per box. The length, width and height of the new boxes are all twice as long as those of the old
boxes
How does the volume of a new box compare to the volume of an old box?
O A The volume of the new box ls 2 times the volume of the old box.
OB The volume of the new box is 4 times the volume of the old box.
O c The volume of the new box is 6 times the volume of the old box
OD. The volume of the new box is 8 times the volume of the old box.
Answer:
I believe the answer is A
Step-by-step explanation:
I say it's A because the volume is double like it told us. Compared to the new box it's twice as long as the old boxes.
I hope this helps! ~~~~
The volume of the new box is 8 times the volume of the old box.
The correct answer is option (D).
Volume of rectangular box:The volume of a rectangular box with length L, width W and height H is,
V = L × W × H
Given: -
Let [tex]l,w,h[/tex] represents the length, width and height of the old rectangular boxes.
Let [tex]V_o[/tex] represents the volume of the old rectangular box.
⇒ [tex]V_o=l\times w \times h[/tex]
The length, width and height of the new boxes are all twice as long as those of the old boxes.
This means the length, width and height of the new boxes would be [tex]2l,2w,2h[/tex].
Let [tex]V_n[/tex] represents the volume of the new rectangular box.
So, the volume of the new rectangular box would be,
⇒ [tex]V_n=2l \times 2w \times 2h[/tex]
⇒ [tex]V_n = 8 \times l \times w \times h[/tex]
⇒ [tex]V_n=8 \times V_o[/tex]
This means, the volume of the new box is 8 times the volume of the old box.
Hence, option (D) is the correct answer.
Learn more about rectangular prism here:
https://brainly.com/question/21308574
#SPJ2
PLEASE HELP PICTURE ATTACHED
Answer: Its 48in
Step-by-step explanation:
Love you all. And good luck.
what is the square root of 49
Answer:
2
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Write the number in exponential form with the base of 7
[tex]\sqrt{7^{2} }[/tex]
Reduce the index of the radical and exponent with 2
7
Solution
7
round 75. 9913 to the nearest tenth, hundredth, thousandth
Please help
A population’s instantaneous growth rate is the rate at which it grows for every instant in time. Function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.
Given:
The function is
[tex]r(x)=0.05(x^2+1)(x-6)[/tex]
where, function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.
To find:
Number of complex and real zeros.
Time intervals for which the population increased and population deceased.
Solution:
We have,
[tex]r(x)=0.05(x^2+1)(x-6)[/tex]
[tex]r(x)=0.05(x^3+x-6x^2-6)[/tex]
Here, degree of function x is 3. It means, the given function has 3 zeros.
From the given graph it is clear that, the graph of function r(x) intersect x-axis at once.
So, the given function r(x) has only one real root and other two real roots are complex.
Therefore, function r has 2 complex zeros and one real zero.
Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.
Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.
Therefore, based on instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.
Answer:
Function r has two complex zeros and one real zero. Based on the instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.
Step-by-step explanation: I got it right
f(n)=3+4)2 find the 4 terms of the sequence
Answer:25 + 24 + 49 :)
Step-by-step explanation:
Hope this helped :)
Solve:
r5 - 6 = -1
A) r = 1
B) r = 5
C) r = 10
D) r = 25
Answer:
1
Step-by-step explanation:
1 ×5-6=-1 Define this stuff is really easy are you going to do is look at all the options that they have there for our and fill in for our or whichever one works will equal to -1 so in this case the one that works is -1 Sol is think about it all you got to do is just fill it in like they give an example ours and they gave us a question or sequel to one just put one size 5 - 6 is equal to -1 -1 is what you trying to get
please answer correctly
will give out brainliest, a THX, a friend request, and will rate ur answer
Answer:
10 11/15
Step-by-step explanation:
the improper fraction you would use is 23/5 and 7/3
to convert improper fractions you would take the whole number multiply by the denominator and then add the numerator so 4*5 which is 20 + 3
do that to both fractions then multiply
23 7 and you will get 161/15 which simplifies to 10 11/15
5 3
Answer:
Hi there!!
Your answer is:
[tex]10 \times \frac{11}{15} [/tex]
Step-by-step explanation:
[tex]4 \times \frac{3}{5} [/tex]
Multiply 4 by the denominator and add to the numerator!
4×5+3
20+3
23
23/5 ×
[tex]2 \times \frac{1}{3} [/tex]
2×3+1
6+1
7
7/3×
7/3 × 23/5
7× 23 = 161
3×5= 15
161/15
SIMPLIFY!
10 & 11/15
Hope this helps
A bus makes 28 stops every 2 hours. How many stops does it make in 3 hours? in 4 hours?
Answer:
it make 42 stops in 3 hours and in 4 hour it would have made 56 stops in 4 hours
Step-by-Step
my explanation would be so you said 3 hours so take half of 28 and add 14 and 28 together would be 42 and in 4 hours it would have made 56 stops
County Wexford in Ireland is 10 feet below sea level Dublin Ireland’s capital is 289 feet higher than this
Answer:
239
Step-by-step explanation:
Answer:
The answer is 279.
Step-by-step explanation:
What is the product of (–0.9)(–2.4)?
–3.3
–2.16
2.16
3.3
Answer:
-2.16
Step-by-step explanation: for all you edge people
The area of Jordan's yard can be modeled by the expression 3x2 - 2x + 1. Jordan purchases additional land from his neighbors. The area
this land can be modeled by the expression 4x2 + 3x + 7. Which expression represents the new area of Jordan's yard
Answer:
Step-by-step explanation:
For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.
