Answers
Answer:
true
Step-by-step explanation:
the incenter of a triangle is the common intersection of the angle bisectors.hence always remains inside the triangle.
Related Questions
There are twenty students in Mr. Smith's class. He chooses two students randomly each day. How many ways can he choose two students?
Answers
Answer:
190Step-by-step explanation:
This is the combination of 2 out of 20:
20C2 = 20!/18!2! = 20*19/2 = 190 waysWe have to find,
The number of ways in which he can choose two students.
Now the 2 out of 20 combination is,
→ 20C2
→ 20!/18!2!
→ 20 × 19/2
→ 10 × 19
→ 190 ways
Hence, there are 190 ways.
Me ayudan con el problema:
Answers
Consider the series ∑n=0∞54n. The sum of a series is defined as the limit of the sequence of partial sums, which means
Answers
(a) The n-th partial sum of the infinite series,
[tex]\displaystyle\sum_{n=0}^\infty\frac5{4^n}[/tex]
is
[tex]S_n = \displaystyle\sum_{k=0}^n\frac5{4^k} = 5\left(1+\frac14+\frac1{4^2}+\cdots+\frac1{4^n}\right)[/tex]
Multiplying both sides by 1/4 gives
[tex]\dfrac14S_n = \displaystyle\sum_{k=0}^n\frac5{4^k} = 5\left(\frac14+\frac1{4^2}+\frac1{4^3}+\cdots+\frac1{4^{n+1}}\right)[/tex]
Subtract this from [tex]S_n[/tex] and solve for [tex]S_n[/tex] :
[tex]S_n-\dfrac14S_n = 5\left(1-\dfrac1{4^{n+1}}\right)[/tex]
[tex]\dfrac34 S_n = 5\left(1-\dfrac1{4^{n+1}}\right)[/tex]
[tex]S_n = \dfrac{20}3\left(1-\dfrac1{4^{n+1}}\right)[/tex]
(your solution is also correct)
(b) The infinite sum is equal to the limit of the n-th partial sum:
[tex]\displaystyle\sum_{n=0}^\infty \frac5{4^n} = \lim_{n\to\infty} \boxed{\sum_{k=0}^n \frac5{4^k}}[/tex]
and the sum indeed converges to 20/3.
difference between mutually exclusive
Answers
Answer:
A mutually exclusive event is when there are two events that can occur, such as flipping a coin, either it will be a head or a tail. Hence, both the events here are mutually exclusive.
An independent event is termed as an event that occurs without being affected by other events. The happening of one event has nothing to do with the happening of the other and there is no cause-effect between the two.
20 slips of paper are put into a bag numbered from 1 to 20. One slip is randomly selected from the bag. We are interested in selecting even numbers. What is the probability of selecting an even number from the bag?
Answers
Answer:
2/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are 10 even numbers from 1 to 20
2 4 6 8 10 12 14 16 18 20
There 20 possible choices.
P(Even) = 10 /20 = 1/2
Find the area of a circle having a radius of 9 cm
Answers
Answer:
81 pi cm^2
or approximately 254.34 cm^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
A = pi (9)^2
A = 81 pi
Using 3.14 as an approximation for pi
A = 81 (3.14)
A =254.34 cm^2
Answer:
81pi cm^2
Step-by-step explanation:
formula : pi*r^2
pi*9^2
pi*81
Find the area of athletic field if it's length is 120cm and its width is 28cm .A. 397.6cm B. 3360cm C. 296 cm D. 4592cm E. 3356cm
Answers
Answer:
B 3360
Step-by-step explanation:
Area of Rectangle = Length X Width
120 X 28
= 3360 cm
Answered by Gauthmath
A farmer wants to build a rectangular pen and then divide it with two interior fences. The total area inside of the pen will be 264 square meters. The exterior fencing costs $15.60 per meter and the interior fencing costs $13.00 per meter. Find the dimensions of the pen that will minimize the cost.
Answers
Answer:
x = 12 m and y = 22 m
Step-by-step explanation:
Total area = 264 [tex]m^2[/tex]
∴ xy = 264
[tex]$y=\frac{264}{x}$[/tex] ............(1)
Cost function = [tex]C(x,y) = 2 x (15.60) + 2y(15.60) + 2x(13)[/tex]
[tex]C(x,y) = 57.2 x + 31.2y[/tex]
Therefore, using (1),
[tex]$C(x) = 57.2x+31.2 \left(\frac{264}{x} \right)$[/tex]
[tex]$C(x) = 57.2x+\frac{8236.8}{x} \right)$[/tex]
So, cost C(x) minimum where C'(x) = 0
[tex]$C'(x) = 57.2 - \frac{8236.8}{x^2}=0$[/tex]
[tex]$x^2=\frac{8236.8}{57.2}$[/tex]
[tex]$x^2=144$[/tex]
[tex]$x=12$[/tex] m
Therefore, [tex]$y=\frac{264}{x}$[/tex]
[tex]$=\frac{264}{12}$[/tex]
= 22 m
So the dimensions are x = 12 m and y = 22 m.
Male Color Blindness When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness (based on data from the National Institutes of Health).X Px0 0.6591 0.2872 0.0503 0.0044 0.0015 0+In determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied.
Answers
Answer:
The sum of the probabilities of all possible outcomes is not 1, which means that a probability distribution is not given.
Step-by-step explanation:
We are given these following probabilities:
[tex]P(X = 0) = 0.6591[/tex]
[tex]P(X = 1) = 0.2872[/tex]
[tex]P(X = 2) = 0.0503[/tex]
[tex]P(X = 3) = 0.0044[/tex]
[tex]P(X = 4) = 0.0015[/tex]
Determine whether a probability distribution is given.
We have to see if the sum of the probabilities of all possible outcomes is 1. So
[tex]0.6591 + 0.2872 + 0.0503 + 0.0044 + 0.0015 = 1.0025[/tex]
The sum of the probabilities of all possible outcomes is not 1, which means that a probability distribution is not given.
Divide. Write Divide. Write your answer in simplest form. −7/5÷1/5=?
Answers
[tex] \frac{ - 7}{5} \div \frac{1}{5} \\ = \frac{ - 7}{5} \times \frac{5}{1} \\ = \frac{ - 7}{1} \times \frac{1}{1} \\ = \frac{ - 7}{1} \\ = - 7[/tex]
This is the answer.
Answer:
- 7
Step-by-step explanation:
- [tex]\frac{7}{5}[/tex] ÷ [tex]\frac{1}{5}[/tex]
Leave the first fraction, change division to multiplication and turn the second fraction upside down.
- [tex]\frac{7}{5}[/tex] × [tex]\frac{5}{1}[/tex] ← cancel 5 on numerator and denominator
= - 7 × 1
= - 7
The wholesale price of 6 oz plastic bottles is 6 cents how many plastic bottles can be purchased for $98.41
Answers
Answer:
1640
Step-by-step explanation:
Take the total amount and divide by the amount for one
Make sure to write 6 cent in dollar form (.06)
98.41 / .06
1640.1666
Round down since we need to buy whole bottles
1640
Britany wants to read a book. In her room, she has 5 mysteries, 15 historical fictions, 12 modern fantasies, and 7 blographies.
How many different choices are available?
pleaseee
Answers
Answer:
39
Step-by-step explanation:
5 + 15 + 12 + 7 = 39
Answer:
39
Step-by-step explanation:
5 + 15 = 20, 12 + 7 = 19, 20 + 19 = 39.
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.5 years with a standard deviation of 0.7 years. Step 2 of 2 : If a sampling distribution is created using samples of the ages at which 43 children begin reading, what would be the standard deviation of the sampling distribution of sample means
Answers
Answer:
[tex]S.E = 0.108[/tex]
Step-by-step explanation:
From the question we are told that:
Mean age [tex]\=x=5.5[/tex]
standard deviation [tex]\sigma= 0.7 years.[/tex]
Sample size [tex]n=43[/tex]
Generally the equation for Standard error is mathematically given by
[tex]S.E= \sigma \bar x[/tex]
[tex]S.E= \frac{\sigma}{\sqrt n}[/tex]
[tex]S.E= \frac{0.7}{\sqrt 43}[/tex]
[tex]S.E = 0.108[/tex]
Select the correct answer.
Which is the minimum or maximum value of the given function?
dndnsn
Answers
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the function is not given. So, I will make an assumption.
A quadratic function is represented as:
[tex]f(x) = ax^2 + bx + c[/tex]
If [tex]a > 0[/tex], then the function has a minimum x value
E.g. [tex]f(x) = 4x^2 - 5x + 8[/tex] ------ [tex]4 > 0[/tex]
Else, then the function has a maximum x value
E.g. [tex]f(x)= -4x^2 -5x + 8[/tex] ---- [tex]-4 < 0[/tex]
The maximum or minimum x value is calculated using:
[tex]x = -\frac{b}{2a}[/tex]
For instance, the maximum of [tex]f(x)= -4x^2 -5x + 8[/tex] is:
[tex]x = -\frac{-5}{2*-4}[/tex]
[tex]x = -\frac{5}{8}[/tex]
So, the maximum of the function is:
[tex]f(x)= -4x^2 -5x + 8[/tex]
[tex]f(-\frac{5}{8}) = -4 * (-\frac{5}{8})^2 - 5 *(-\frac{5}{8}) +8[/tex]
[tex]f(-\frac{5}{8}) = 9.5625[/tex]
A trough has ends shaped like isosceles triangles, with width 2 m and height 5 m, and the trough is 18 m long. Water is being pumped into the trough at a rate of 8 m3/min. At what rate (in m/min) does the height of the water change when the water is 2 m deep
Answers
9514 1404 393
Answer:
5/9 m/min
Step-by-step explanation:
The depth of the water is 2/5 of the depth of the trough, so the width of the surface will be 2/5 of the width of the trough:
2/5 × 2 m = 4/5 m
Then the surface area of the water is ...
A = LW = (18 m)(4/5 m) = 14.4 m²
The rate of change of height multiplied by the area gives the rate of change of volume:
8 m³/min = (14.4 m²)(h')
h' = (8 m³/min)/(14.4 m²) = 5/9 m/min
Describe the motion of a particle with position (x,y) as t varies in the given interval. x=3sint, y=1+cost, 0≤t≤3π/2
Answers
Answer:
The motion is centered about (0,1)
Step-by-step explanation:
x = 3sint ---- (1)
y = 1 + cos(t) ----- (2)
x^2 = 9 *sin(t)*sin(t)
hence; (x^2)/9 = sin(t)*sin(t) ---- (3)
y-1 = cos(t)
hence; (y-1)^2 = cos(t) * cos(t) ---- (4)
adding equation 3 and 4
(x^2)/9 + ( y - 1 )^2 = 1
The motion is centered about (0,1)
Manuel has 18 yards of fabric to make table runners. It takes 3/4 of a yard to make each runner. The expression that represents the amount of fabric left after making t table runners is 18 - 3/4 t. Which are possible runners that Manuel could make? Select three options.
20
22
24
26
28
Answers
Answer:
20
22
24
Step-by-step explanation:
To determine the maximum number of runners that Manuel could make take the amount of cloth and divide by 3/4
18 ÷ 3/4
Copy dot flip
18 * 4/3
18/3 *4
6*4
24
He can make less than or equal to 24
Answer:
20, 22, 24
Step-by-step explanation:
There are 9 members of Collin colleges board of trustees how many different ways can a chairman a vice chairman a secretary and a treasurer be selected
Answers
Answer:
Amount of members = 9
then we multiply the different probabilities of the trustess which is 4, so we do 9 x 4= 36
Step-by-step explanation:
So there are 36 different ways
answer: 36 different ways
Eleven seconds after a deep sea diver jumps into the ocean he is 69 feet below sea level and 28 seconds later, he is195 feet below sea level. If he is descending under water at a constant rate, how many feet below sea level will hebe 1.5 minutes after his initial descent
Answers
Answer: [tex]405.7\ ft[/tex]
Step-by-step explanation:
Given
After 11 sec, diver is 69 feet below sea level
after 28 s , it is 195 feet
rate of traveling
[tex]\Rightarrow u=\dfrac{195-69}{28}\\\\\Rightarrow u=4.53\ ft/s[/tex]
after 1.5 minutes, that is 90 s, diver must have traveled
[tex]\Rightarrow d=4.53\times 90\\\Rightarrow d=407.7\ ft[/tex]
Answer:
7299 feet
Step-by-step explanation:
At 11 second the depth is 69 feet
At 28 seconds the depth is 195 feet
Let the initial velocity at the time t = 0 is u.
Use second equation of motion
[tex]s = u t +0.5 at^2\\\\69 =11 u + 0.5 a\times 11\times 11\\\\69 = 11 u + 60.5 a..... (1)\\\\195 = u (28 -11) +0.5 a\times (28-11)^2\\\\195 = 17 u + 144.5 a .....(2)[/tex]
By soling (1) and (2)
a = 1.73 m/s^2, u = 3.25 m/s
So, the distance in 1.5 minutes is
h = 3.25 x 1.5 x 60 + 0.5 x 1.73 x 1.5 x 1.5 x 60 x 60
h = 292.5 + 7006.5 = 7299 ft
What is the value of the expression (2x + y) (2x - y) when x = 4 and y = -5?
Answers
Answer:
39
Step-by-step explanation:
1. (2(4)-5)(2(4)+5)
2.(3)(13)
3.39
Answer:
Step-by-step explanation:
This is a difference of squares question. You should 64 = 25 = 39 Let's see if that happens.
Difference of squares
(2x - y) ( 2x + y) = 4x^2 - y^2
4(4)^2 - (5)^2
64 - 25 = 39
Now do the question exactly as it is written.
(2*4 - -5)(2*4 + -5)
(8 +5)(8 - 5)
3 * 13
39
They really do give the same answer.
Suppose your marketing colleague used a known population mean and standard deviation to compute the standard error as 52.4 for samples of a particular size. You don't know the particular sample size but your colleague told you that the sample size is greater than 70. Your boss asks what the standard error would be if you quintuple (5x) the sample size. What is the standard error for the new sample size? Please round your answer to the nearest tenth. Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
Answers
Answer:
The standard error for the new sample size is of 23.4.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Interpretation:
From this, we can gather that the standard error is inversely proportional to the square root of the sample size, that is, for example, if the sample size is multiplied by 4, the standard error is divided by the square root of 4, which is 2.
Standard error of 52.4, sample size multiplied by 5. What is the standard error for the new sample size?
The standard error of 52.4 divided by the square root of 5. So
[tex]s = \frac{52.4}{\sqrt{5}} = 23.4[/tex]
The standard error for the new sample size is of 23.4.
Find the medien: 16,12,10,15,7,9,16
Answers
Answer:
12
Step-by-step explanation:
arrange the numbers in ascending order and cross out from either side till you have a middle line
FINAL ANSWER:
12
Step-by-step explanation:
Median is the middle number in the data set.
so first of ... we need to arrange the group of numbers from lower to greater.
16, 12, 10, 15, 7, 9, 16 ⇒ 7, 9, 10, 12, 15, 16, 16
Now that we have arranged the numbers from least to greatest all we need to do is to find the middle number of the data set (data set? they are the group of numbers)
Ok, so what you want to do here is to just count the numbers until you get to the middle number of the data set...
7, 9, 10, 12, 15, 16, 16
the median in the given data set is 12.
I hope this helps you!!! Let me know if my answer is incorrect or not...
HAVE A GREAT DAY AND GOD BLESS YOU ;)!!!
Which expression is equal to
(3x – 4)(2x – 5)?
Answers
Answer:
6x^2-23x+20
Step-by-step explanation:
i think the expanded form of that equation is equal to it.
(3x-4)(2x-5)
3x(2x-5)-4(2x-5)
6x^2-15x-8x+20
6x^2-23x+20
I hope this helps and sorry if it's wrong
Choose the graph of y = 2 tan x.
Answers
Answer:
The image shows the graph of y = 2 tan x.
WILL GIVE BRAINLIST IF CORRECT What is the vertex of the function f(x) = |x − 9| + 2
Answers
Answer:
a. (9, 2)
Step-by-step explanation:
Find the slope of the line #67
Answers
Hope your day is going well
The slope form is y2-y1/x2-x1
So I’m going to use (1,1) (-1,4)
Y2= 4
Y1=1
X2= -1
X1= 1
Then you plug in those equations 4-1/ -1 -1
3/-2 that’s the fraction form
The decimal form is -1.5 this is the slope
Hope this helps *smiles*
Michael drove 210 miles in 3 1/2. Jordan drove 330 miles in 6 hours. Which is an accurate comparison of the rates at which the two people drove?
Answers
Michael = 210 / 3.5 = 60 miles per hour
Jordan = 330/ 6 =55 miles per hour
Jordan drove 5 miles per hour slower than michael
The line l with equation x - 2y + 2 = 0 crosses the y-axis at the point P. The line
m with equation 3x + y - 15 = 0 crosses the y-axis at the point Q and intersects
l at the point R. Find the area of triangle PQR.
Answers
Answer:
Area of ΔPQR is 28 units²
Step-by-step explanation:
-P is the point with coordinates ( 0, y-intercept for line x-2y+2 =0)
-rearrange the equation in the point-slope form y=mx+b to find the y coordinate of the point P( 0, b)
x-2y+2 = 0, subtract x and 2 from both sides
-2y = -x-2, divide by -2 both sides
y= (1/2)x +1 so b=1 and P (0, 1)
-Q is the point with coordinates ( 0, y-intercept for line 3x+y -15 =0)
-rearrange the equation in the point-slope form y=mx+b to find the y coordinate of the point Q( 0, b)
3x +y -15 =0, subtract 3x and add 15 to both sides
y= -3x +15 so b=15 and Q(0,15)
-R is the intersection of the two lines so is the solution of the system of equations y= (1/2)x +1 and y= -3x +15
(1/2)x +1 = -3x +15, add 3x and subtract1
(1/2) x+3x = 15-1, combine like terms
(7/2)x = 14 , multiply both sides by 2
7x = 28, divide both sides by 7
x= 4
y= (1/2)x +1 = (4/2) +1 =3 so R(4,3)
- the area of ΔPQR is (base *height)/2
base= 15-1= 14
height = 4
A= (14*4)/2 = 14*2 = 28
Simplify: 3.5 x 10^-2 + 2.3 x 10^-2
Answers
Given:
The given expression is:
[tex]3.5\times 10^{-2}+2.3\times 10^{-2}[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]3.5\times 10^{-2}+2.3\times 10^{-2}[/tex]
It can be written as:
[tex]=(3.5+2.3)\times 10^{-2}[/tex]
[tex]=5.8\times 10^{-2}[/tex]
Therefore, the simplified form of the given expression is [tex]5.8\times 10^{-2}[/tex].
The value of 33 + 42 = ___.
Numerical Answers Expected!
Answer for Blank 1:
Answers
3^3 + 4^2 = 43
Step-by-step explanation:
Please write the numbers like this 3^3 + 4^2 next time
3^3 + 4^2 =
Solve for 3^3
3^3 = 3 • 3 • 3 = 27
Solve for 4^2
4^2 = 4 • 4 = 16
Add 27 and 16
27 + 16 = 43
[tex] \sf Q) \: {3}^{3} + {4}^{2} = {?}[/tex]
[tex] \sf \to \: {3}^{3} + {4}^{2} [/tex]
[tex] \sf \to \: 27 + 16= 43 [/tex]
Thus, the value is 43.
