Answer:
Step-by-step explanation:
= 2.839 × 106
(scientific notation)
= 2.839e6
(scientific e notation)
= 2.839 × 106
(engineering notation)
(million; prefix mega- (M))
= 2839000
(real number)
What are the coefficients of 6kp+9k+kp-14
Answer:
6, 9, 1
Step-by-step explanation:
a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
Answer:
6 and 9
Step-by-step explanation:
I hope this helped!
g(t) = 3t+3 and h(t) = -2
(g•h)(t)
Answer:
(g · h)(t) = -6t - 6
Step-by-step explanation:
To find (g · h)(t), multiply g(t) by h(t).
g(t) = 3t + 3
h(t) = -2
(g · h)(t) = (-2)(3t + 3)
(g · h)(t) = -6t - 6
In 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to complete the 42.2 km (26.2 mile) race. If 100 runners are chosen at random, find the probability that exactly 97 of them finished the marathon
Answer:
The probability that exactly 97 of them finished the marathon is 0.221.
Step-by-step explanation:
We are given that in 2019, approximately 97.4% of all the runners who started the Boston Marathon were able to complete the 42.2 km race.
100 runners are chosen at random.
The above situation can be represented through the binomial distribution;
[tex]P(X = x) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x = 0,1,2,3,......[/tex]
where, n = number of trials(or samples) taken = 100 runners
r = number of success = exactly 97
p = probability of success which in our question is the probability
that runners finished the marathon, i.e; p = 0.974
So, X ~ Binom(n = 100, p = 0.974)
Now, the probability that exactly 97 of them finished the marathon is given by = P(X = 97)
P(X = 97) = [tex]\binom{100}{97} \times 0.974^{97} \times (1-0.974)^{100-97}[/tex]
= [tex]161700 \times 0.974^{97} \times 0.026^{3}[/tex]
= 0.221
Hence, the required probability is 0.221.
Using the binomial distribution, it is found that there is a 0.2207 = 22.07% probability that exactly 97 of them finished the marathon.
For each runner, there are only two possible outcomes, either they finished the marathon, or they did not. The probability of a runner finishing the marathon is independent of any other runner, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
97.4% of all runners finished the marathon, hence [tex]p = 0.974[/tex].100 runners are chosen at random, hence [tex]n = 100[/tex]The probability that exactly 97 of them finished the marathon is P(X = 97), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 97) = C_{100,97}.(0.974)^{97}.(0.026)^{3} = 0.2207[/tex]
There is a 0.2207 = 22.07% probability that exactly 97 of them finished the marathon.
A similar problem is given at https://brainly.com/question/24863377
I NEED HELPPP QUICKK
I don't know how to do this can someone help me plz!?!?
Answer:
7) no 8) no 9) no 10)yes 11) yes 12) yes 13) k=42 14) c=30 15)a=42
Step-by-step explanation:
Answer:
do you still need help
Step-by-step explanation:
A coin is tossed and then a number between 1 and 10 is chosen as random. What is the probability of getting heads then a number less than 4?
Answer:
3/20
Step-by-step explanation:
P(heads) = 1/2
P(less than 4) = 3/10
P(heads then less than 4) = (1/2) (3/10) = 3/20
The large 96 ounce popcom says it has 240 actual popped kernels. How many kernels
are in the 16 ounce small popcorn?.
Can someone thoroughly explain this implicit differentiation with a trig function. No matter how many times I try to solve this, I get it wrong. I’ve tried the quotient rule, and I’ve tried multiplying that (8 + x^2) to the other side to do the chain + product rule. I wanna know where I went wrong
Answer:
[tex]\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)(1+\sec^2(x-y)(8+x^2))}[/tex]
Step-by-step explanation:
So we have the equation:
[tex]\tan(x-y)=\frac{y}{8+x^2}[/tex]
And we want to find dy/dx.
So, let's take the derivative of both sides:
[tex]\frac{d}{dx}[\tan(x-y)]=\frac{d}{dx}[\frac{y}{8+x^2}][/tex]
Let's do each side individually.
Left Side:
We have:
[tex]\frac{d}{dx}[\tan(x-y)][/tex]
We can use the chain rule, where:
[tex](u(v(x))'=u'(v(x))\cdot v'(x)[/tex]
Let u(x) be tan(x). Then v(x) is (x-y). Remember that d/dx(tan(x)) is sec²(x). So:
[tex]=\sec^2(x-y)\cdot (\frac{d}{dx}[x-y])[/tex]
Differentiate x like normally. Implicitly differentiate for y. This yields:
[tex]=\sec^2(x-y)(1-y')[/tex]
Distribute:
[tex]=\sec^2(x-y)-y'\sec^2(x-y)[/tex]
And that is our left side.
Right Side:
We have:
[tex]\frac{d}{dx}[\frac{y}{8+x^2}][/tex]
We can use the quotient rule, where:
[tex]\frac{d}{dx}[f/g]=\frac{f'g-fg'}{g^2}[/tex]
f is y. g is (8+x²). So:
[tex]=\frac{\frac{d}{dx}[y](8+x^2)-(y)\frac{d}{dx}(8+x^2)}{(8+x^2)^2}[/tex]
Differentiate:
[tex]=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}[/tex]
And that is our right side.
So, our entire equation is:
[tex]\sec^2(x-y)-y'\sec^2(x-y)=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}[/tex]
To find dy/dx, we have to solve for y'. Let's multiply both sides by the denominator on the right. So:
[tex]((8+x^2)^2)\sec^2(x-y)-y'\sec^2(x-y)=\frac{y'(8+x^2)-2xy}{(8+x^2)^2}((8+x^2)^2)[/tex]
The right side cancels. Let's distribute the left:
[tex]\sec^2(x-y)(8+x^2)^2-y'\sec^2(x-y)(8+x^2)^2=y'(8+x^2)-2xy[/tex]
Now, let's move all the y'-terms to one side. Add our second term from our left equation to the right. So:
[tex]\sec^2(x-y)(8+x^2)^2=y'(8+x^2)-2xy+y'\sec^2(x-y)(8+x^2)^2[/tex]
Move -2xy to the left. So:
[tex]\sec^2(x-y)(8+x^2)^2+2xy=y'(8+x^2)+y'\sec^2(x-y)(8+x^2)^2[/tex]
Factor out a y' from the right:
[tex]\sec^2(x-y)(8+x^2)^2+2xy=y'((8+x^2)+\sec^2(x-y)(8+x^2)^2)[/tex]
Divide. Therefore, dy/dx is:
[tex]\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)+\sec^2(x-y)(8+x^2)^2}[/tex]
We can factor out a (8+x²) from the denominator. So:
[tex]\frac{dy}{dx}=y'=\frac{\sec^2(x-y)(8+x^2)^2+2xy}{(8+x^2)(1+\sec^2(x-y)(8+x^2))}[/tex]
And we're done!
Use the order of operations to evaluate this expression: 7+(5-9)2 + 3(16-8).
Answer:
23
Step-by-step explanation:
Order of Operations: BPEMDAS
1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction
Left to Right
Step 1: Write expression
7 + (5 - 9)2 + 3(16 - 8)
Step 2: Parenthesis (subtraction)
7 + (-4)2 + 3(8)
Step 3: Parenthesis (multiplication)
7 - 8 + 24
Step 4: Subtract
-1 + 24
Step 5: Add
23
combine like terms 6x - (5x) + 2x + (-3)
Answer:
13x - 3
Step-by-step explanation:
Step 1:
6x - ( 5x ) + 2x + ( - 3 ) Equation
Step 2:
6x + 5x + 2x - 3 Open Parenthises
Answer:
13x - 3 Add
Hope This Helps :)
Would it be 6x-3 or 6x^2-3? Composite function
g(x) = 3x
g(x) = 3( x )
g( f(x) ) = 3( f(x) ) ... replace every x with f(x)
g( f(x) ) = 3( 2x-1 ) .... plug in f(x) = 2x-1
g( f(x) ) = 3( 2x) + 3( -1 ) ... distribute
g( f(x) ) = 6x - 3
You are correct in saying D is the answer
20 POINTS HELP!!!!!!———-
Yosef is trying to determine whether or not he drinks enough water each day. Today, on average, he drank 2/5 of a glass of water every hour for 10 hours. To determine how much water he had, he set up an equation 2/5 x10=? What is the total amount of water yosef drank?
A: 1/25 of a glass
B:1/4 of a glass
C: 4 glasses
D:25 glasses
Answer:
C 4 glasses
I took the thing
aubrey buys 12 bottles of orange juice at the corner store for a total cost of $3.36. If each bottle costs the same amount, how much is each bottle of juice
Answer: A bottle of juice cost $0.28
Step-by-step explanation:
12x = $3.36
Divide 12 on both sides
x = $0.28
Arden’s Grandpa tries to challenge him in his mathematics studies by creating problems for him to solve. For one problem, Grandpa said, “I am thinking of some positive integer, let’s call it k, which I then multiply by the number 1357 and I end up with a product whose final four digits are 9502. Find the smallest value of k that will make this work.”
Answer:
7
Step-by-step explanation:
Positive integer = k
If Arden's Grandpa multiplies the integer by the number 1357, or will become 1375 × k = 1375k
If he ends up with a four digits result of 9502, to get the least value of k that will make it work, we will equate 1357k to 9502.
1357k ≥ 9502 (since we need the least value, this also means k can be greater than this value).
Divide both sides by 1357
1357k ≥ 9502
1357k/1357 ≥ 9502/1357
k ≥ 7.00
Hence the smallest value of k that will make this work is 7
If your annual salary is $64,710, what is your semimonthly salary?
a) $1,244.42
Ob) $2,696.25
O d) $5,392.50
O c) $2,488.84
D. Every other month you are paid, just estimate an amount times 6 and just pick the most realistic answer
Answer:
ob) $2,696.25
Step-by-step explanation:
its B because you divide your annual salary by 2*12 (semimonthly means 2 times a month and theirs 12 months in a year) so that would be 24 divided by $64,710 which is $2,696.25
Which graph represents the equation y=2/3x−2?
Answer:
D is the correct answer
Answer:
option D is the answer
Step-by-step explanation:
the -2 tells you where the y intercept is and the 2/3x tells you what the slope of the line is.
Which sections should you survey while reading difficult material? a. Diagrams c. Main ideas b. Visual Aids d. All of these Please select the best answer from the choices provided A B C D
Answer:
D all of these
Step-by-step explanation:
When reading challenging information, you should pay close attention to the diagrams, important points, visuals, etc. The answer to this question is D, or all of them, as a result.
What are the points that one must observe in reading?Reading comprehension, vocabulary, phonics, fluency, phonemic awareness, and many other skills are important to keep in mind when reading. Each of them plays a unique part in any literary work.
Each and every reader must adhere to a number of requirements before reading. You must focus on the diagram first and foremost when conducting the survey because it quickly and efficiently interprets all of the data. However, in order to absorb the information quickly, the primary ideas and visual aids are equally crucial.
Hence option D is correct.
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Decrease £110 by 10%
6x-7y= -2 please help me
Answer:
X=7/6y+-1/3
Step-by-step explanation:
It will be hard for me to demonstrate the equation
Can someone explain to me how this right?
Step-by-step explanation:
Mmm I mean what you had to do was just take the number and divide by the total number of people in that area. For Math it was 120 and for Social Studies it was 70. And then you just turn the decimals that you get into percentages. That's all!
A movie theater has 400 seats. Tickets at the theater cost $8 for students, $10 for adults, and $7 for senior citizens. On a night when all the seats were sold, the theater made $3,535 from ticket sales. If the number of adult tickets sold was 10 less than the number of student and senior tickets combined, how many senior tickets were sold?
a. 55 senior tickets
b. 150 senior tickets
c. 195 senior tickets
d. 255 senior tickets
Answer: 55 senior tickets
Step-by-step explanation:
The tickets that were sold to senior citizen is 55.
What is System of equations?When two or more equations are solved together and the solution satisfies all the equation , then the set of equation are termed as system of equations.
It is given in the question that
A movie theater has 400 seats
Tickets at the theater cost
$8 for students
$7 for senior citizens
$10 for adults
All the tickets were sold
Total revenue made from sales = $3,535
If the number of adult tickets sold was 10 less than the number of student and senior tickets combined
Let the ticket sold to students = x
Sold to senior citizen = y
Sold to adults = z
z = (x+y) - 10
x+y+z = 400
x+y+x+y-10= 400
2(x+y) = 410
x+y = 205
z= 205-10
z = 195
8 *x +7*y +10*z = 3535
8x+7y +1950 = 3535
8x+7y = 1585
x+y = 205
8x+8y=1640
y =55
Therefore the tickets that were sold to senior citizen is 55.,
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Last summer, Brianna planted 2 plants
per square foot in her garden box.
How many plants will she plant this
summer?
Answer: how many square feet are there? multiple each square foot by 2
Step-by-step explanation:
What is
a-7=21 it’s for class obviously
Answer:
28
Step-by-step explanation:
7+21=28
a-7=21
Answer: a=28
Step-by-step explanation:
find the range of the function if the domain is 5. =4x+8
Answer:
28
Step-by-step explanation:
your domain is X 4 times 5 is 20 plus 8 is 28
the question is in the photo
Step-by-step explanation:
I think the answer is 3x square multiplied by 1
Coz anything raised to power 0 will always equal to 1
Write a sentence for equation 4m =52
Answer:
4 multiplied by m equals 52
PLZZZ HURRRRYYY!!!!!!!
Which of the following symbols could correctly finish the statement? Choose all that apply. |9|___9? ≤ = > < ≥ ≠
Answer:
=
Step-by-step explanation:
The absolute value of 9 is 9.
NEED HELP FAST WILL GIVE BRAILYIST What is the solution to Negative 1 minus 7?
–8 –6 6 8
Answer:
-8
Step-by-step explanation:
took the test
compare square inch for 8 inch square and 8 inch round circle
Answer:
An 8 inch Circle has a diameter of 8 inch, whereas the 8 inch square has length and width of 8 inch
Step-by-step explanation:
For a circle to be an 8 inch, the diameter should be 8 inches. Square's sides are equal, so we would have 8 inches on each side of the square. The area of this 8 inch square would be 64 in^2, whereas the 8 inch circle's area is 50.24 inch ^2. (because (3.14)(r^2))
Which inequality can this number line represent?
If a driver gear has 15 teeth and the follower gear has 5 teeth, what would the gear ratio be?
a. 5:1
b. 2:1
c. 1:2
d. 1:5
Answer:
3:1
Step-by-step explanation:
Driver : Follower --> 15:5 which is reduced to 3:1