Answer:
P(B) = 0.6
Step-by-step explanation:
P(A and B) = P(A) * P(B)
0.12 = 0.2 * P(B)
P(B) = 0.6
P(A or B) = P(A) + P(B) - P(A and B)
0.68 = 0.2 + P(B) - (0.12)
P(B) = 0.6
.Resolva as equações, sendo U = Q (separe as respostas por vírgulas). A) 3y - 2 = - y + 4 B) 5 - 4x = x + 3 + 2x C) - 12 - 9x = - 4 - 12x D) - x - 6 + 3x = -2x + 8x + 15
Answer:
[tex](A) y=1.5[/tex]
[tex](B)x=\dfrac27[/tex]
[tex](C)x=2\dfrac23[/tex]
[tex](D)x=-5.25[/tex]
Step-by-step explanation:
(A)
[tex]3y - 2 = - y + 4\\3y+y=4+2\\4y=6\\y=\dfrac64\\\\y=1.5[/tex]
(B)
[tex]5 - 4x = x + 3 + 2x\\5 - 4x = 3 +3x\\5-3=3x+4x\\7x=2\\x=\dfrac27[/tex]
(C)
[tex]-12 - 9x = - 4 - 12x\\-9x+12x=-4+12\\3x=8\\x=\dfrac83\\\\x=2\dfrac23[/tex]
(D)[tex]- x - 6 + 3x = -2x + 8x + 15[/tex]
[tex]2x-6 = 6x + 15\\2x-6x=15+6\\-4x=21\\x=\dfrac{21}{-4} \\\\x=-5.25[/tex]
Which number(s) below belong to the solution set of the inequality Check all that apply. x + 30 < 60 a.50 b.45 c.300 d.1 e.29 f.30
Answer:
e.29 d.1
Step-by-step explanation:
x+30<60 :we will replace with the values we have :
300 that's a big number . Obviously it isn't a solution 50 : 30+50 = 80>60 so no 45: 30+45= 75 >60 so no 30+30 = 60 we have < not ≤ so no 1 yes . it's obvious 29 +30 = 59<60 so yes !Please explain how to do this and one answer.
Answer:
In counting to a base, when we get to the point where the base integer comes up, we replace by 10, on the first time and by 10 at every other time the integer is about to come up
We now this in base 10 as when we get to 10 we input 10 and so and so till we get to 99 where since we are in base 10 the next number is 100 because that is the highest we can go while in base 11 100 in base is equivalent to 91
So we have for base 5
1 , 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44, 100, 101, 102, 103, 104, 110, 111, 112, 113, 114, 120, 121, 122, 123, 124, 130, 131, 132, 133, 134, 140, 141, 142, 143, 144, 200
We see that on getting to 4 instead of the next digit to be 5 we replace it with 10 because 5 cannot be displayed in base 5
Similarly after 14 is 20 because 5 cannot be displayed at 24 the next number is 30 because 5 cannot be displayed
at 34 the next 40, while at 44 the next is (we could have written 50 but 5 is 10 in base 5 so we write 100) 100
At 144, we note that 44 = 100 + 44, therefore, the next number will be 100 + 44+ 1 = 100 + (45 but 45 = 100 in base 5) 100 so that the next number is 200
Base 2
In base 2 we have;
1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111, 10000, 10001, 10010, 10011, 10100, 10101, 10110, 10111, 11000, 11001, 11010, 11011, 11100, 11101, 11110, 11111, 100000, 100001, 100010, 100011, 100100, 100101, 100110, 100111, 101000, 101001, 101010, 101011, 101100, 101101, 101110, 101111, 110000, 110001, 110010
We see that there are no 2s and after 11 we get 100 just like after 99 we get 100 in base 10 and after 44 we get 100 in base 5
So we need to still have an idea of the number system just as we did for base 10
Step-by-step explanation:
if f(x)=x sqrt -25 and g(x)=x-5, what is the domain of (f/g)(x)?
Answer:
R-{5}Step-by-step explanation:
f(x)=x²-25=(x-5)(x+5)
g(x)=x-5
(f/g)(x)=(x-5)(x+5)/(x-5)=x+5; for x≠5
D=R-{5}
i need mega help quick plz
Answer:
option AAngle B is the answer
The plot below represents the function f(2):
4
3
2
1
5 4 3 2 1
Evaluate f (4):
f14)
41
X
Solve f(x) = 4:
ONE
Question Help D Video Message instructor D Pos
Stanit Question
Answer:
f(4) = 3
x = -1
Step-by-step explanation:
Line graphed shows a linear function.
Since this line passes through two points (4, 3) and (-1, 4)
Let the function is,
f(x) = mx + b
where 'm' = slope of the line
b = y-intercept of the line
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{4-3}{-1-4}[/tex]
= [tex]-\frac{1}{5}[/tex]
f(x) = [tex]-\frac{1}{5}x+b[/tex]
Since a point (4, 3) lies on the line,
f(4) = [tex]-\frac{1}{5}(4)+b[/tex]
3 = [tex]-\frac{4}{5}+b[/tex]
b = 3 + 0.8
b = 3.8
Therefore, f(x) = -0.2x + 3.8
For x = 4
f(4) = -0.2(4) + 3.8
= -0.8 + 3.8
= 3.0
For f(x) = 4
4 = -0.2x + 3.8
0.2x = 3.8 - 4
x = [tex]\frac{-0.2}{0.2}[/tex]
x = -1
Answer:
Step-by-step explanation:
someone help me pleaseeeeeeeeee
Answer:
4:11 = french : no french
Step-by-step explanation:
the ratio of thosenwho have french:
2/3 * 2/5 = 4/15
and the ratio of those who dont:
1-4/15= 11/15
and one ratio against another:
4/15 : 11/15 = 4:11 = with french : those without
A hiker leaves camp and walks 6 miles east. Then he walks 18 miles south. How far from camp is the hiker? Distance in miles: Using quadratic applications
Answer: 19 miles
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between the hiker and the camp) and a and b are the other sides.
Replacing with the values given:
x^2 = 6^2 + 18^2
x^2 = 36+324
x^2 = 360
x = √360
x = 18.97miles = 19 miles
Feel free to ask for more if needed or if you did not understand something.
Which statement best describes the function below : F(x)=2x^2-3x+1
Answer:
it is a many to one function:)
Step-by-step explanation:
The statement which best describes the function F(x)=2x^2-3x+1 is it is a many to one function.
How do you find the piecewise function?
A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.
What is a function example?f(x) = x2 shows us that function "f" takes "x" and squares it. Example: with f(x) = x2: an input of 4. becomes an output of 16.
Learn more about piecewise function at https://brainly.com/question/27262465
#SPJ2
Can someone please help me I really need help please help me thank you
Answer:
x = a + b
Step-by-step explanation:
This is a proof
Exterior angle of a triangle = Sum of Interior and opposite angles
Exterior angle of a triangle = x
Sum of Interior and opposite angles = a + b
know that
a + b + c = 180 ______1 (total sum of angles in a triangle)
x + c = 180 _______2 (total sum of angles on a straight line)
from equation 1
c = 180 - (a + b)
from equation 2
c = 180 - x
hence
180 - (a + b) = 180 - x
180 - 180 + x = a + b
x = a + b
PLEASE HELP!! WILL GIVE BRAINLIEST!! 50 PTS
Step-by-step explanation:
Reflexive property
Reflexive property
AA similarity- if two pairs of corresponding angles are congruent, then the triangles are similar
Answer:
Reflexive property
Reflexive property
AA similarity- if two pairs of corresponding angles are congruent, then the triangles are similar same thing he said pretty much
Step-by-step explanation:
Determine the measure of the unknown angles.
PLEASE HELP!!! ASAP!!
(Picture included)
(V.O.A) means vertically opposite angle.
Consider the following 8 numbers, where one labelled x is unknown.
11, 1, 34, x, 41, 10, 47, 2
Given that the range of the numbers is 67,
work out 2 values of x.
Answer:
x=-20 or x=68
Step-by-step explanation:
you can either make it so 47 remains the largest number and so take 67 from 47 (=-20) or you can leave 1 as the smallest number and add 67 to 1 (=68)
A square with a length of 14 cm is scaled up
to create an image, using a scale factor of 3.25.
What is the area of the image?
Answer:
The area of the image is 2,070.25 cm^2
Step-by-step explanation:
The first thing we do here is to scale up the square using the factor given.
Thus, for a length of 14 cm scaled up by 3.25, the new length becomes 14 * 3.25 = 45.5 cm
Mathematically, the area of the square is L^2
where L in this case is 45.5 cm
The area of the scaled up square would be 45.5 * 45.5 = 2,070.25 cm^2
Urgent ‼️50 POINTS NO BS OR I WILL REPORT YOU Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding 1/3 the length of the directed line segment?
Answer:
3rd option
Step-by-step explanation:
The ratio of 1:3 mean that one part is 1 to the other part being 3.
That means the total is 1 + 3 = 4.
1 part to 3 parts is the same as 1 part to a whole of 4 and 3 parts to a whole of 4.
Answer: 3rd option
Answer:
The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.
Step-by-step explanation:
I like to call the numbers in the ratio 1 : 3 "ratio units".
That is, the short length is 1 ratio unit long, and the longer length is 3 ratio units long. The total (whole) length is 1+3 = 4 ratio units long. Then the short length (1 ratio unit) is 1/4 of the whole length (4 ratio units).
_____
Coment on the answer wording
I think you need to be careful with terminology. The word "part" has a different meaning in the first answer sentence "... part to part" than it does in the second answer sentence "... parts in the whole ...".
In the first sentence, it refers to "a piece of the line, no matter its length." In the second sentence, it refers to "that length of the line represented by 1 in the ratio."
Functions can also be represented using a table of values. For the table shown in the figure, what kind of function does it correspond to?
Answer:
This function s a linear relationship because this function increases about a consistent slope. The equation is 2x+5, where 2 is the slope.
Step-by-step explanation:
Answer the following questions 0.2 is what percent of 1 3/5 ? plzzz help me
Answer:
1 3/5 = 8/5
.2=2/100
Step-by-step explanation:
make an equality:
x/(8/5)=2/100
it kinds looks weird on here but write it out on paper
then cross multiply:
100x=(2)(8/5)
100x=16/5
now divide each side by 100:
x=4/125
same for the second one:
make an equality:
x/2=2/100
cross multiply:
100x=(2)(2)
100x=4
x=1/25
Mrs. Carlyle bought a bag of peanuts for her children. when Philip Joy Brent and Preston came home from school and they each took some peanuts from the bag. Phillip took 1/3 of peanuts from the bag Joy took 1/4 of the remaining peanuts. Brent 1/2 of the remaining peanuts. Preston took 10 peanuts there 71 peanuts remaining in the bag. how many peanuts were originally in the bag? how many peanuts in each child take?
Answer:
Total peanut=324
Step-by-step explanation:
Let the peanut=x
Philip took 1/3 of x
Remaining peanut=x-1/3x
=3x-x/3
=2/3x
Joy took 1/4 of the remaining leaving 3/4
Remaining=(3/4)(2x/3)
=6x/12
=1/2x
Brent took 1/2 of those, leaving 1/2
=(1/2)*(1/2x)
=1/4x
Preston took 10
Remaining
1/4x - 10 = 71
1/4x = 81
x=81÷1/4
=81*4/1
x = 324
Total peanut =324
Philip=1/3x
=1/3*324
=108
Remaining 324-108
=216
Joy=1/4 of 216
=54
Remaining
324-108-54=162
Brent=1/2 of 162
=81
Preston=10
Total taken=Philip+joy+Brent+Preston
=108+54+81+10
=253
Total remaining=Total peanut - total taken
=324-253
=71
On Monday, the Dairy Barn sold 14 waffle cones for every 6 sugar cones. On Tuesday, the Dairy Barn sold 7 waffle cones for every 3 sugar cones. Which proportion can be used to represent the cone sales? StartFraction 14 over 6 EndFraction = StartFraction 3 over 7 EndFraction StartFraction 14 over 6 EndFraction = StartFraction 7 over 3 EndFraction StartFraction 6 over 14 EndFraction = StartFraction 7 over 3 EndFraction StartFraction 3 over 7 EndFraction = StartFraction 14 over 6 EndFraction
Answer:
Option b
Step-by-step explanation:
To represent this proportion using fractions, let the numerators be the number of waffles sold and denominator, the number of sugar cones.
Thus, the proportion that can be used to represent the cone sales is
14/6 = 7/3
Answer:
BBBBBB
Step-by-step explanation:
PLEASE HELP!
Evaluate the following using exact radian measure. Show all of your work.
[tex]cot { }^{ - 1} ( - \frac{1}{ \sqrt{3} } )[/tex]
Answer:
PEMDAS DAT
Step-by-step explanation:
ASAP plaase ABCD is a square. The length of each side of the square ABCD is___units, and the length of its diagonal is about_____units. First options:9, 14, 28 Second options:14, 18.6, 19.8
Answer:
length is 14
diagonal is 19.8
Step-by-step explanation:
To find the length of the side of the square, what we need to do is to use the height 12 in each triangle to find the length of the adjacent in each triangle and add together.
Mathematically we can find the length of this adjacent using the Pythagoras theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.
Applying this to each of the 2 triangles but summing the answer;
The length l is as follows;
Let’s call the adjacent fir each side of the triangle a and b but the addition being l
a^2 = 15^2 - 12^2 = 225-144 = 81
a^2 = 81
a = 9
b^2 = 13^2 -12^2
b^2 = 169-144
b^2 = 25
b = 5
l = a + b = 9 + 5 = 14
The diagonal can also be calculated using pythagoras’
d^2 = 14^2 + 14^2
d^2= 196 + 196
d^2 = 392
d = √(392)
d = 14√2 = 19.8
James earned $816 each year. He earned x dollars less per month than Matt, who earned $80 per month. Equation: 12(80 – x) = 816 x = 12; monthly earnings = $68
Answer:
see below
Step-by-step explanation:
12(80 – x) = 816
Divide each side by 12
80-x = 816 /12
80-x = 68
Subtract 80 from each side
80-x-80 = 68-80
-x = -12
Multiply each side by -1
x = 12
James earned 80-12 = 68
Answer:
Which strategies will verify that the value for x is correct? Check all that apply.
Substitute 12 for x in the equation.
Multiply $68 by 12 months.
Step-by-step explanation:
B and C
the second and third one.
In circle Z. what is mz2?
Answer:
140°
Step-by-step explanation:
[tex] m \angle \: 2 = \frac{1}{2} \times \bigg(133 \degree + 147 \degree \bigg) \\ \\ m \angle \: 2 = \frac{1}{2} \times 280 \degree \\ \\ \huge \red { \boxed{m \angle \: 2 = 140 \degree }}[/tex]
Please someone help ASAP
Answer:6 1/2
Step-by-step explanation:1/2+3 1/2+2 1/2
Add all the halves (1/2)
1/2+1/2+1/2=1 1/2
Then add the 3 and 2 in front of the fraction.
3+2=5
So, 1 1/2+5=6 1/2
Answer:
6 1/2
Step-by-step explanation:
3+2=5
1/2+1/2=1
5+1=6
6+1/2=6 1/2
Question 10 PLEASE HELP find the slope of the line described by: x-7y=-6
Answer:
slope m=1/7
Step-by-step explanation:
x-7y=-6
-7y=-x-6
y=-x/-7 -6/-7
y=1/7 x+6/7
The formula for the area of a square is s2, where s is the side length of the square. What is the
rea of a square with a side length of 6 centimeters? Do not include units in your answer
Answer:
36
Step-by-step explanation:
Area of a square is s² , where 's' is the side length.
For a square of side length = 6 cm ,
The area = (6 cm)² = 36 cm²
* Why did your teacher say that you should not include units in your answer?
Anyway, the area without units is 36 .
Find m∠C. A. 16 B. 20 C. 18 D. 17
Answer:
Step-by-step explanation:
You have to use the Law of Cosines here to solve for C. For us the equation will take on the form
[tex]c^2=a^2+b^2-2abcosC[/tex] for which we have all the values except C. Filling in:
[tex]12^2=28^2+18^2-2(28)(18)cosC[/tex] which will simplify to
144 = 784 + 324 - 1008cosC. Simplify a bit more to
144 = 1108 - 1008cosC. Subtract 1108 from both sides to get
-964 = -1008cosC. Divide both sides by -1008 to get
.9563492063 = cosC
Press the 2nd button and then the cos button on your calculator. You should see this on your screen:
[tex]cos^{-1}([/tex]
After that open parenthesis, enter that long decimal and hit "enter". You should get that your angle is 16.99 which I imagine you would round to 17, which is choice D. If you did not get 16.99 but you got .29655, you are in radian mode and you need to be in degree mode. Hit "mode" and change it with your arrow key and hit "enter" and it's changed!
I'm a survey of 200 employees, 65% agreed that the management of the cafeteria should be changed. If the confidence interval is 95%, the margin of error for this survey is %, and the maximu
Answer:
Step-by-step explanation:
Confidence interval for population proportion is expressed as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
From the information given,
Sample proportion, p = 65/100 = 0.65
q = 1 - 0.65 = 0.35
n = 200
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96
Margin of error = 1.96√(0.65)(0.35)/200
Margin of error = 0.066 = 6.6%
The maximum boundary of the interval is
0.65 + 0.066 = 0.716
Express 3.5 cm into metre
Answer:
[tex]\boxed {\red {0.035m}}[/tex]
Step-by-step explanation:
[tex]1m = 100cm \\ x = 3.5cm[/tex]
[tex]use \: \: cross \: \: multipication[/tex]
[tex]3.5 \times 1 = 100 \times x \\ 3.5 = 100x \\ \frac{3.5}{100} = \frac{100x}{100} \\ x = 0.035m[/tex]
Find the area of this parallelogram
Answer:
Area = 147.03 cm²
Step-by-step explanation:
Area of parallelogram = [tex]Base*Heigth[/tex]
Where base = 16.9 cm, Height = 8.7 cm
Area = 16.9*8.7
Area = 147.03 cm²
Answer:
147.03 square cm
Step-by-step explanation:
[tex]area \: of \: parallelogram \\ = base \times height \\ = 16.9 \times 8.7 \\ = 147.03 \: {cm}^{2} \\ [/tex]