Answer:
x = 46°
Step-by-step explanation:
the obtuse triangle is isosceles so the angle adjacent to ∠x is 22°
therefore, ∠x = 180-(90+22+22) = 46
A quick quiz consists of a multiple-choice question with 5 possible answers followed by a multiple-choice question with 5 possible answers. If both questions are answered with random guesses, find the probability that both responses are correct.
Answer:
1/25
Step-by-step explanation:
P of both answers are correct =
P first question is answered correct and P second question is answered correct
in probability, and = multiplication
P first question is answered correct =1 correct answer/5 possible answers =1/5
P second question is answered correct = 1/5
P of both answers are correct = (1/5) · (1/5) = 1/25
helppp please i need this answered fast please :⊂
Answer:
dang good luck
Step-by-step explanation:
Write the equation of the line parallel to y=1/2x−6 that passes through (−10,4).
Answer:
y = 1/2 x + 9
Step-by-step explanation:
y = 1/2 x + b
4 = (1/2)(-10) + b
4 = -5 + b
b = 9
Which one hurry
A.2 unit sides
B.3 unit sides
C.4 unit sides
D.5 unit sides
Answer:
4 units
Step-by-step explanation:
P of a square is P =4s
A of a square is A = s^2
4s = s^2
Divide each side by s
4s/s = s^2/s
4 =s
Please help due today
Answer:
55
Step-by-step explanation:
all of the angles in a triangle ALWAYS add up to 180 degrees.
do the math.
A medical researcher is studying the spread of a virus in a population of 1000 laboratory mice. During any week, there is a 70% probability that an infected mouse will overcome the virus, and during the same week there is a 40% probability that a noninfected mouse will become infected. Four hundred mice are currently infected with the virus. How many will be infected next week and in 3 weeks?
(a) next week mice rilex
(b) in 3 weeks mice
Answer:
a) 360 mice
b) 364 mice
Step-by-step explanation:
Assume :
A = number of infected mice , B = number of non-infected mice
P( infected mice overcoming infection ) = 70% = 0.7
P ( Infected mice not overcoming infection ) = 1 - 0.7 = 0.3
P( mice becoming infected ) = 40% = 0.4
P ( mice not becoming infected ) = 1 - 0.4 = 0.6
Number of infected mice = 400
Number of non-infected mice = 1000 - 400 = 600
step 1 ; express the probabilities in matrix form
[tex]P = \left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex]
[tex]X = \left[\begin{array}{ccc}400\\600\\\end{array}\right][/tex]
step 2 : multiply the matrix above to determine the number of mice that will be infected
a) For next week
PX = [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex]
i.e. 360 mice will get infected next week
next 2 week = P ( PX )
= [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex] * [tex]\left[\begin{array}{ccc}360\\640\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]
b) In 3 weeks time
P ( P(PX) = [tex]\left[\begin{array}{ccc}0.3&0.4&\\0.7&0.6&\\\end{array}\right][/tex] * [tex]\left[\begin{array}{ccc}364\\636\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}363.6\\636.4\\\end{array}\right][/tex]
i.e. 364 mice will get infected in 3 weeks time
Please help me with this I need it bad
Answer:
1
Step-by-step explanation:
The average rate of change is the gradient _
Gradient = Rise / Run = (y2 - y1) / (x2 - x1)
From the table ;
x2 = 4 ; x1 = - 1 ; y2 = 5 ; y1 = 0
Gradient = (y2 - y1) / (x2 - x1) = (5-0) / (4 - - 1) = 5/5 = 1
Solve. Four times the sum of 2 and some number is - 8. What is the number?
Answer:
-4
Step-by-step explanation:
Let say other number is 'x'
Equation:-
4(2 + x) = -8
8 + 4x = -8
4x = - 16
x = - 16/4
x = - 4
Can someone please help me? thank you
Answer:
c = (ef-ab)/d
Step-by-step explanation:
ab+cd = ef
Subtract ab from each side
ab+cd -ab = ef-ab
cd = ef-ab
Divide by d
cd /d =(ef-ab)/d
c = (ef-ab)/d
4x+9=41 x is equal to
Answer and Step-by-step explanation:
Simply solve for x (very easy to do).
4x + 9 = 41
Subtract 9 from both sides of the equation.
4x = 32
Divide both sides of the equation by 4.
x = 8
x is equal to 8.
#teamtrees #PAW (Plant And Water)
Translate and solve: twenty-three greater than b is at least −276.
Answer:
b+23≥-276
b≥-276-23
b≥-299
Step-by-step explanation:
hope this is helpful
PLEASE HELP FOR 10 POINTS what is the length of PM
A.) 3 units
B.) 4 units
C.) 5 units
D.) 6 units
Answer:
D
Step-by-step explanation:
The figures are the same just flipped. We can tell AD=NM ON=AB, BC=OP. Thus DC =MP
DC has the length of 6 and because MP is congruent to DC it also has 6.
NASCAR A driver receives -25 points for each
rule violation. What integer represents the
change in points after 4 rule violations?
Answer:
after 4 rule violations he will recieve -100 points. so if total points is 100, then the driver gets 0 points
Use this table to find how much tax you need to pay on a taxable income of 40,000
Answer:
$14,386.25
Step-by-step explanation:
Which value is in the domain of f(x)? PLS help :)
Answer:
(c) 4
Step-by-step explanation:
Given
The piecewise function
Required
The value in f(x) domain
The domain of f(x) is:
[tex]-6 < x \le 0[/tex] and [tex]0 < x \le 4[/tex]
Combine both inequalities:
[tex]-6 < x \le 4[/tex]
List the values of the inequality
[tex]-6 < x \le 4 = \{-5,-4,-3,-2,-1,0,1,2,3,4\}[/tex]
From the list of given options
Only 4 is among the domain
Others are not
Which expression is equivalent to the given expression?
(776) (2y-4)2
Answer:
(776) (2y-4)²
(776) (4y²-8y-8y+16)
(776)(4y²-16y+16)
=3104y²-12416y+12416
Order of operation problem who two operations inside parentheses and two outside ( using all add, subtract, multiply and divide). I need examples
Here is one: PEMDAS
12- ( 6 + 3) - 19 x 1 divided by 1
I hope this helps
can someone help asap
Answer:
C
Step-by-step explanation:
8×26×6=1200 cubic centimeters
hence, C is the closest
What is an equivalent expression to 4( x + 2) + 6x
Work Shown:
4(x+2) + 6x
4x+8 + 6x
(4x+6x) + 8
10x+8
the range of a function is?
If the function f(2x + 3) = 3x- 8, find f -¹(x)
Answer:
(2x + 35)/3
Step-by-step explanation:
f(2x + 3) = 3x - 8
= 3(2x)/2 - 8
= 3(2x + 3 - 3)/2 - 8
= 3(2x + 3)/2 - 3(3)/2 - 8
= ( 3(2x + 3) - 25)/2
Therefore, f(x) = (3x - 25)/2
Let f(x) = (3x - 25)/2 = y
Therefore,
x = (2y + 35)/3 = f(y)
Hence,
f-¹(x) = f(y) = (2y + 35)/3
Just by merely replacing y,
f-¹(x) = (2x + 35)/3
Answer:
Step-by-step explanation:
[tex]let~g(x)=2x+3,~ then~f\circ g(x)=f(g(x)=3x-8\\\\[/tex]
lets assume that f(x) is a line, so f(x)=mx+b
[tex]f(g(x))=m(2x+3)+b=2mx+3m+b=3x-8[/tex]
the follow equation system results:
[tex]2m=3 \\ 3m+b=-8[/tex]
[tex]m=\frac{3}{2}\\\\b=-\frac{25}{2}[/tex]
finally:
[tex]y=f(x)=\frac{3}{2}x-\frac{25}{2}[/tex]
now is time to calculate the inverse function:
[tex]y=\frac{3}{2}x-\frac{25}{2}=>2y+25=3x=>x=\frac{2}{3}y+\frac{25}{3}[/tex]
so
[tex]f^{-1}(x)=\frac{2}{3}x+\frac{25}{3}[/tex]
how do i solve this problem
Answer:
[tex]A\approx 159.6[/tex]
Step-by-step explanation:
1. Approach
To solve this problem, divide the given figure up into two smaller figures, a rectangle and a semi-circle. Find the area of each figure and add up the values to find the total area. Remember the formula to find the area of a rectangle is as follows ([tex]A=(length)(width)[/tex]). The formula to find the area of a circle is the following, ([tex]A=(\pi)(r^2)[/tex]).
2. Find the area of the rectangle
The radius is the measurement in a circle from the center of a circle to any point on the circle's circumference (outer edge). The diameter is a line going through a circle connecting two opposite edges on a circle and passing through the center of a circle. By its definition, the diameter is always twice the radius of a circle.
As one can see in the rectangle, the side of the rectangle is made of the diameter of the circle. Since the diameter of a circle is twice the radius, one must multiply the radius by (2), then multiply that value by the length of the rectangle to find the area of the rectangle,
[tex]A=(length)(width)\\[/tex]
Substitute,
[tex]A_r=(length)(2(radius))\\A_r=(14)(2(5))[/tex]
Simplify,
[tex]A_r=(14)(2(5))\\A_r=(14)(10)\\A_r=140[/tex]
3. Find the area of the semi-cricle
Now one has to find the area of the semi-circle. Since a semi-circle is half of a circle, one must divide the formula to find the area of a circle by (2) in order to find the area of a semi-circle. Remember parameter (r) represents the radius, and ([tex]\pi[/tex]) represents the numerical value (3.1415...)
[tex]A=\frac{(\pi)(r^2)}{2}[/tex]
Substitute,
[tex]A_s=\frac{(\pi)(5^2)}{2}[/tex]
Simplify,
[tex]A_s=\frac{(\pi)(5^2)}{2}\\A_s=\frac{(\pi)(25)}{2}\\A_s=12.5\frac{(\pi)}{2}\\A_s\approx19.635[/tex]
4. Find the total area
To find the total area of the figure, one must add up the two components, add the area of the rectangle to the area of the semi-circle,
[tex]A=A_r+A_s\\[/tex]
Substitute,
[tex]A=140+19.635[/tex]
Simplify,
[tex]A=159.635[/tex]
[tex]A\approx 159.6[/tex]
50 POINTS!!!!!!!!!!!!!!!
28,45,12,34,36,45,19,20
Find the mean absolute deviation of this set of data. PLEASE PUT STEPS
Answer:
10.125
Step-by-step explanation:
Given the data :
28,45,12,34,36,45,19,20
The mean absolute deviation of the data is :
Σ|x - mean| / n
n = number of values = 8
Mean = Σx / n = 239 / 8
Mean = 29.875
Take the sum of the absolute value if the difference between each data value and the mean, then divide by the data size
Using a mean absolute deviation calculator ;
Mean absolute deviation = Σ|x - mean| / n = 10.125
Pls helpi neeed the answer
Answer:
I believe that the answer is 80X (or C)
Step-by-step explanation:
it looks like it is just under a right angle so i believe that it would be 80X
Answer:
y=6x
Step-by-step explanation:
the average of three numbers is 25. two of the numbers are 18 and 40. what is the third number
Step-by-step explanation:
the third number is 17 thank you very much please mark me the brainliest you can calculate the answer by supposing the number as one of the variables I supposed it as X so similarly similarly making it as an equation the equation will be 25 is equal to 18 + 40 + X by 3 similarly when you solve the equation you get the answer thank you please mark me the brainliest thank you
The third number is 17
Average
The average of numbers is the mean value of the numbers
The given parameters are:
Average = 25Numbers = 18 and 40Assume the third number is x
So, the average is calculated as:
[tex]Average = \frac{\sum x}{3}[/tex]
This gives
[tex]\frac{18 + 40 + x}{3} = 25[/tex]
[tex]\frac{58 + x}{3} = 25[/tex]
Multiply both sides by 3
[tex]58 + x = 75[/tex]
Subtract 58 from both sides
[tex]x = 17[/tex]
Hence, the third number is 17
Read more about average at:
https://brainly.com/question/20118982
A dancing competition has 13 competitors, of whom four are American, two are Mexicans, four are Russians and three are Italians. If the contest result lists only the nationality of the competitors, how many outcomes are possible?
Answer:
900,900 outcomes are possible.
Step-by-step explanation:
Arrangements with repetition:
The number of possible arrangements of n elements, considered that they are divided in classes of [tex]n_1,n_2,...,n_n[/tex] elements, is given by:
[tex]A = \frac{n!}{n_1!n_2!...n_n!}[/tex]
A dancing competition has 13 competitors
This means that [tex]n = 13[/tex]
Four are American, two are Mexicans, four are Russians and three are Italians.
This means that [tex]n_1 = 4, n_2 = 2, n_3 = 4, n_4 = 3[/tex]
How many outcomes are possible?
[tex]A = \frac{13!}{4!2!4!3!} = 900900[/tex]
900,900 outcomes are possible.
What is the common ratio for the geometric sequence below, written as a fraction?
768, 480, 300, 187.5, …
/
Answer:
5/8
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous one:
480/768
= 0.625
Convert this to a fraction:
0.625
= 5/8
So, the common ratio is 5/8
I needddd helpppp
Which point is a representation of -(-3)???
Answer:
Point a
negative means on a number line to the left side
Step-by-step explanation:
Cho tam giác ABC vuông cân tại A
Cạnh đáy BC 5cm, AB 7cm. Tính diện tích
Answer:
7 × 5 :2 it is the answer ,i love you
Find the value of x for which WXYZ must be a parallelogram.
Answer:
[tex](5x - 4) \degree = (2x + 14)\degree \\ 3x = 18\\ x = 6[/tex]