Answer:
4989600 ways
Step-by-step explanation:
From the question,
The word MATHEMATICS can be arranged in n!/(r₁!r₂!r₃!)
⇒ n!/(r₁!r₂!r₃!) ways
Where n = total number of letters, r₁ = number of times M appears r₂ = number of times A appears, r₃ = number of times T appears.
Given: n = 11, r₁ = 2, r₂ = 2, r₃ = 2
Substitute these value into the expression above
11!/(2!2!2!) = (39916800/8) ways
4989600 ways
Hence the number of ways MATHEMATICS can be arranged without duplicate is 4989600 ways
Find the surface area of the number cube below.
Answer:
Surface area = 24 in.²
Step-by-step explanation:
Surface area of the cube = 6a²
Where,
a = length of the each side of the cube = 2 in.
Plug in the value into the formula
Surface area of the cube = 6(2²)
= 6 × 4
Surface area = 24 in.²
WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
(2, -1)
Step-by-step explanation:
because that's where the lines intersect
Aşağıda verilen balik kılçığı diyagramını tamamlayalım.
Answer:
Let's complete the fishbone diagram given below
thats what they said
Step-by-step explanation:
7 cups converted to fluid ounces.
No links they don’t work
Look at the cylinder.
The cylinder is sliced in half, as shown by the dotted line.
Which shape is the cross section that is formed?
circle
cone
O rectangle
O sphere
rectangle for sure my teacher told me
Name the coordinates of P(-8, 3) under a reflection across the y-axis.
Answer:
(8,3)
Step-by-step explanation:
Hello There!
This is the rule for reflection over y axis:
(x,y) -----> (-x,y)
So if the point (-8,3) we're to reflect over the y axis then the x value would stay the same but the sign would flip
So instead of -8 it would be +8
The y value does not change so the new coordinates would be
(8,3)
(−5g5h6)2(g4h2)4
i need the simplified answer asap plz
Answer:
-40g^{9}h^{8}
Step-by-step explanation:
Which of the following theorems verifies that ABC ~ STU?
Answer:
B. AA
Step-by-step explanation:
The diagram given shows that two angles in ∆ABC are congruent to two corresponding angles in ∆STU.
Invariably, the third unknown angle of both triangles would also be equal going by the third angle theorem.
Thus, based on the AA Similarity Theorem which says that two triangles are similar to each other if two corresponding angles of one is congruent to two angles in the other, ∆ABC ~ ∆STU.
If a cylinder has a height of 5 and a volume of 98, what is the radius to the nearest tenth?
Answer:
r ≈ 2.5
Step-by-step explanation:
98 = 5(πr^2)
divide 5 by both sides
19.6 = πr^2
divide π by both sides
6.2388 = r^2
square root both sides
r = 2.49777
r ≈ 2.5
Tessa is training for a marathon she runs 13 km a day for 3 days
nice
i think there's supposed to be more to the problem lol
???
No question but I gonna answer anyway.
The total number of km she ran in 3 days = 13 x 3=39.
A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale. How many cups of flour does Henry need? can someone tell me the qestion
I hope this helps you answer your question.
You can perform 6 push-ups in 24 seconds. Write and
graph an equation that represents the relationship
between time and the number of push-ups. At this rate,
how many pushups can you perform in 2 minutes?
PLS HURRY!!!
Answer:
480 push ups
Step-by-step explanation:
24/6 = 4
meaning they are doing 4 push ups per second, this is your slope
the equation of your line is y = 4x, you can graph this using a table of values (i attached a graph tho)
2 minutes = 120s
y = 4(120)
y = 480
Function f is defined by f (x) = 1.5º. Function g is defined by g(x) = 500:c² + 3452
a. Which function is quadratic? Which one is exponential?
Fill in each blank with the correct choice.
find the surface area of a square pyramid if the base area is 25 square inches and the area of each triangular side is 36 square inches
9514 1404 393
Answer:
169 square inches
Step-by-step explanation:
The surface consists of one square base and four triangles. So, the total surface area is ...
base area + 4 × triangle area = 25 in² + 4×36 in² = 169 in²
Find the area of the shaded region.
24 In
18 in
6 in
24 in
inches squared
Area
Answer:
180
Step-by-step explanation:
triangle: 1/2bh = 1/2 24x24 = 288
rectangle : 18x6 = 108
288-108 = 180in ^2
What value of x would make lines land m parallel?
Answer:
[tex]x = 75[/tex]
Step-by-step explanation:
Given
See attachment
Required
The value of x that makes l and m parallel
Let the angles be ABC (See attachment 2)
[tex]\angle CAB[/tex] is corresponding to 50 degrees. So:
[tex]\angle CAB=50[/tex]
[tex]\angle ABC[/tex] is corresponding to 55 degrees. So:
[tex]\angle ABC = 55[/tex]
This means that:
[tex]\angle ABC + \angle CAB + x = 180[/tex]
[tex]50 +55 + x = 180[/tex]
Solve for x
[tex]x = 180 - 50 - 55[/tex]
[tex]x = 75[/tex]
Bill is renovating this house.
Bill measures the length of the front of the house.
The length is most likely to
1.440 m
O
14,40 m
14.40 mm
144.0 m
1440 mm
Scroll to read more »
9514 1404 393
Answer:
14.40 m
Step-by-step explanation:
A typical suburban home site in the US might have a width between 15 and 50 meters. So, the front of Bill's house is most likely to be about 14.4 m, of the choices offered.
Convert 121 days to seconds
Answer:
10,454,400 sec
Step-by-step explanation:
1Day=24hr
1hr=60min
1min=60sec
121 days=121*24*60*60=10,454,400sec
Please help me I need help with this as quick as possible my dad is right next to me...
Answer:
there isnt a question... what do you need help with?
Answer:
.-. >_>
Step-by-step explanation:
help me please:(**********
Answer:
11.7
Step-by-step explanation:
First HK can be found via Pythagorean Theorem
6^2 + 10^2 = 36 + 100 = 136
The square root of 136 is (rounded to the nearest tenth): 11.7
GJ is congruent to HK
GJ = 11.7
The quadratic formula gives which roots for the equation 2x^2 + x - 6 = 0?
Answer:
The roots are [tex]x = (\frac{3}{2}, -2)[/tex], which is given by option C.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
In this question, we have that:
[tex]2x^2 + x - 6 = 0[/tex]
Which is a quadratic equation with [tex]a = 2, b = 1, c = -6[/tex]. So
[tex]\Delta = 1^{2} - 4*2(-6) = 1 + 48 = 49[/tex]
[tex]x_{1} = \frac{-1 + \sqrt{49}}{2*2} = \frac{6}{4} = \frac{3}{2}[/tex]
[tex]x_{2} = \frac{-1 - \sqrt{49}}{2*2} = \frac{-8}{4} = -2[/tex]
So the roots are [tex]x = (\frac{3}{2}, -2)[/tex], which is given by option C.
You hit a tennis ball with an initial vertical velocity of 25 m/s. The ball leaves the tennis racket 2 meters above the ground, h_o. How much time does your opponent have before the ball hits the ground on the other side of the net, h(t)? Use h(t) = -5t^2 + v_0t + h_0 where h(t) is the height of a tennis ball being hit h_0 is the initial height v_0 is the velocity in meters/second after time (t) in seconds
Answer:
here
Step-by-step explanation:
Solving a quadratic equation, it is found that your opponent has 5.08 seconds to react before the ball hits the ground on the other side of the net.
What is the quadratic equation for the ball's height?It is given by:
[tex]h(t) = -5t^2 + v_0t + h_0[/tex]
In which:
[tex]v_0[/tex] is the initial velocity of the ball.[tex]h_0[/tex] is the initial height of the ball.You hit a tennis ball with an initial vertical velocity of 25 m/s. The ball leaves the tennis racket 2 meters above the ground, hence [tex]v_0 = 25, h_0 = 2[/tex].
Then, the equation is:
[tex]h(t) = -5t^2 + 25t + 2[/tex]
It hits the ground when h(t) = 0, hence:
[tex]-5t^2 + 25t + 2 = 0[/tex]
The solutions are h = 5.08 and h = -0.08.
Since time is a positive measure, your opponent has 5.08 seconds to react before the ball hits the ground on the other side of the net.
More can be learned about quadratic equations at https://brainly.com/question/24737967
I will give brainliest
You want to put a stake every metre around the perimeter of a square plot that measures 100 metres on every side. How many stakes will you need?
The number of stakes that you need to be required should be 400 stakes.
Calculation of the number of stakes:Since You want to put a stake every metre around the perimeter of a square plot that measures 100 metres on every side.
So here the square does have 4 sides
So,
= 100 (4)
= 400
hence, The number of stakes that you need to be required should be 400 stakes.
Learn more about perimeter here: https://brainly.com/question/24891826
Need help quick!!!!! Karl set out to Alaska in his truck the amount of fuel remaining in the trucks tank in liters as a function of distance driven is graphed how fast did
the truck consume it’s fuel
Answer:
can you plz picture the graph so my answer you correctly .
The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot. A 4-column table has 3 rows. The first column has entries third-row seats, no third-row seats, total. The second column is labeled 4-wheel drive with entries 18, 7, 25. The third column is labeled no 4-wheel drive with entries 12, 28, 40. The fourth column is labeled total with entries 30, 35, 65. What is the probability that a randomly selected car with no 4-wheel drive has third-row seats?
Answer:
a. 0.3
Step-by-step explanation:
The probability that a randomly selected car with no 4-wheel drive has third-row seats is 0.3 option (A) 0.3 is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Let's suppose A is the car with no 4-wheel drive
Let's suppose B is the car with third-row seats
As we know,
P(B|A) = n(A ∩ B)/n((A)
The probability that a randomly selected car with no 4-wheel drive has third-row seats:
From the table:
n(A ∩ B) = 12
n((A) = 40
P(B | A) = 12/40
P(B | A) = 0.3
Thus, the probability that a randomly selected car with no 4-wheel drive has third-row seats is 0.3 option (A) 0.3 is correct.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ6
Population The world population in 2000 was approximately 6.08 billion. The annual rate of increase was about 1.26%. If this rate of increase continues, what will be the approximate world population in 2050?
Answer:
Population in 2050 = 11,369,600,000
Step-by-step explanation:
Given:
Population in 2000 = 6,080,000,000
Rate of increase = 1.26%
Find:
Population in 2050
Computation:
Number of year = 50
Population in 2050 = Population in 2000[1+r]ⁿ
Population in 2050 = 6,080,000,000[1+1.26%]⁵⁰
Population in 2050 = 6,080,000,000[1.87]
Population in 2050 = 11,369,600,000
Which statement best describes the effects on the graph of f(x)=3x when f(x) is replaced by −3f(x+7)−2?
Answer: to move a graph up c units, add c to the whole function
so basicaly what you did is you subtraced 3 from the whole function
the whole graph shifts 3 units down
B is answer
Step-by-step explanation:
A biologist studying trees constructed the confidence interval (0.14, 0.20) to estimate the proportion of trees in a large forest that are dead but still standing. Using the same confidence level, the interval was later revised because the sample proportion had been miscalculated. The correct sample proportion was 0.27. Which of the following statements about the revised interval based on the correct sample proportion is true?
A) The revised interval is narrower than the original interval because the correct sample proportion is farther from 0.5 than the calculated proportion is
B) The revised interval is narrower than the original interval because the correct sample proportion is closer to 0.5 than the mis-calculated proportion is
C) The revised interval is wider than the original interval because the correct sample proportion is farther from 0.5 than the mis-calculated proportion is
D) The revised interval is wider than the original interval because the corect sample proportion is closer to 0.5 than the mis-calculated proportion is.
E) The revised interval has the same width as the original interval.
Answer:
D) The revised interval is wider than the original interval because the corect sample proportion is closer to 0.5 than the mis-calculated proportion is.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The larger the closer to 0.5 the value of [tex]\pi[/tex], the larger the margin of error and the wider the interval is.
A biologist studying trees constructed the confidence interval (0.14, 0.20)
This means that the estimate used was of:
[tex]\pi = \frac{0.14 + 0.2}{2} = \frac{0.34}{2} = 0.17[/tex]
The correct sample proportion was 0.27.
With [tex]\pi = 0.27[/tex], the margin of error is larger as 0.27 is closer to 0.5 than 0.17. Thus, the revised interval will be wider, and the correct answer is given by option D.
Suppose that are Yi.....Yn are i.i.d random variables with a Nâ(âμY, Ï^2Y â) distribution. How would the probability density of ȳ change as the sample size n âincreases? â
a. As the sample sizeâ increases, the variance of decreases.â So, the distribution of becomes less concentrated around.
b. As the sample sizeâ increases, the variance of decreases.â So, the distribution of becomes highly concentrated around.
c. As the sample sizeâ increases, the variance of increases.â So, the distribution of becomes highly concentrated around.
d. As the sample sizeâ increases, the variance of increases.â So, the distribution of becomes less concentrated around.
Answer:
b. As the sample size â increases, the variance of decreases. â So, the distribution of becomes highly concentrated around.
Step-by-step explanation:
Let : Yi,.... Yn are = i.i.d are random variables. The probability density of the distribution varies along with the sample size. When the sample size changes, the probability density of [tex]$E^3$[/tex] also changes.
The probability distribution may be defined as the statistical expression which defines the likelihood of any outcome for the discrete random variable and it can be opposed to the continuous random variable.
In the context, when the size of the sample of the distribution size increases, it causes a decrease in the variance and so the distribution becomes highly concentrated around.
Harry’s tv plan cost 49.99 per month plus 3.49 per first run movie how many first run movies can he watch if he wants to keep his monthly bill to be a maximum of 100
Answer:
He can watch 14 first run movies to keep his monthly bill to be a maximum of $ 100.
Step-by-step explanation:
Given that Harry’s TV plan cost $ 49.99 per month plus $ 3.49 per first run movie, to determine how many first run movies can he watch if he wants to keep his monthly bill to be a maximum of $ 100, the following calculation must be performed:
100 - 49.99 = 50.01
50.01 / 3.49 = X
14.32 = X
49.99 + (3.49 x 14) = 98.85
Thus, he can watch 14 first run movies to keep his monthly bill to be a maximum of $ 100.