Answer: No, the events are not mutually exclusive
Work Shown:
P(A and B) = P(A) + P(B) - P(A or B)
P(A and B) = 0.51 + 0.79 - 0.66
P(A and B) = 0.64
Since the result is not zero, this means the events are not mutually exclusive.
Mutually exclusive events are ones that cannot happen at the same time. Example: getting a "2" and a "3" on the same roll of a number cube.
Micheal models an experiment. He places a model car on a tramp that can be adjusted to different heights. Each time the model car travels down the ramp, micheal measures the distance the car travels from the end of the ramp. the graph shows the distance travelled by micheals model car when it leaves the ramp of different heights.
A. When the ramp is 2ft high, the model car travels 9ft ft
B. When the ramp is 9ft high, the model car travels 2ft
C. The average speed of the model car is 2ft per sec, when the ramp is 9 ft high.
D. The average speed of the model car is 9ft per second when the ramp is 2ft high
Answer:A
Step-by-step explanation:
because i just know iot is
Pls help i need an A my mom is going to get mad at me pls help i will give 62 points
its the one on the right :) x goes up 5 each time, y goes up 3 each time ; no jumps
5. The ratio of the number of John's stamps to the number of Peter's stamps is 5:8. Peter has 18 more stamps than John. If Peter gives 22 stamps to John, what will be the new ratio of the number of John's stamps to Peter's?
Answer:
2:1
Step-by-step explanation:
J:P = 5:8
30:48
48-30= 18
48-22= 26
30+22= 52
new ratio
52:26
2:1
Am I correct??????????????????????
can't understand ur question proper is that ∠bgh= z, ∠chi=y, ∠hif=x
can u confirm me
and in ur answer x= 80°
because it is an alternate angle of y
if the zeros of a quadratic formula function F are -2 and 4 what is the equation of the axis of symmetry F?
Option 2 is correct.
The axis of symmetry is, x= 3
Step-by-step explanation:
Given: The zeros of the quadratic function f are 1 and 5.
If the zeroes are at x =1 and at x =5, then,
the factor equations were x- 1=0 and x-5 = 0.
Then. the factors were x -1 and x-5 .
Any factorable quadratic is going to have just the two factors, so these are must be them.
Then, the original quadratic was :
or
[by distributive property ]
Combine like terms;
......[1]
A quadratic equation is of the form: ; where a, b, c are the coefficient ]
On comparing equation [1] with general equation we have;
the value of a = 1 , b = -6 and c =5
Axis of symmetry states that a parabola is a vertical line that divides the parabola into two congruent halves.
i,e
Then;
Axis of symmetry (x) =
Therefore, the equation of the axis of symmetry is; x = 3
a numerical description of a characteristic of a population is called a
i believe it is called a parameter
PLEASE HELP I I WILL AWARD AS THE BRAINLIEST AND LET EVERYONE KNOW ABT YOU PLEASE HELP ME ASAP
WHAT NUMBER SUBTRACTED BY 147 DIVIDED BY 12 GIVES YOU 12???
Answer:
291.
Step-by-step explanation:
(x - 147) / 12 = 12
x - 147 = 144
x = 144 + 147
x = 291.
Christina has 2 2/3 bags of chips. She gives 2/5 of the to friend. How many bags does christina have left?
Answer:
1 3/5 bags left
Step-by-step explanation:
If she gives 2/5 away, she keeps 3/5
3/5 * 2 2/3 = 3/5 * 8/3 = 24/15 = 1 9/15 = 1 3/5 bags left
If (-1, y) lies on the graph of y = 2^2x, then y =
04
1/4
01
Answer:
y = 1/4
Step-by-step explanation:
substitute the given value of x = -1 into the equation.
y^2^2 (^-1) =2^-2 = 1/2^2 = 1/4
Which shows how to solve the equation 3/4x -6 for x in one step
Answer:
A
Step-by-step explanation:
You can multiply both sides on an equation by the reciprocal to cancel the fraction on the first side.
A cylinder has a base diameter of 16 feet and a height of 4 feet.
Answer:
Step-by-step explanation:
radius = 16/2 = 8
Then you can apply the formula to calculate the base area, lateral surface or surface or even perimeter
A function f is odd and f(x)=x2 for all x>0. Sketch the graph of this function and then write the rule of this function as a single formula.
f(x)=
For the function to be an odd function, then f(-x) = -f(x) and the function f(x) is not an odd function
How to determine the function?The function f(x) is given as:
f(x) = x^2
For the function to be an odd function, then the following must be true:
f(-x) = -f(x)
So, we have:
f(-x) = (-x)^2 = x^2
-f(x) = -x^2
From the above computation, we can see that the functions f(-x) and -f(x) are not equal
Hence, the function f(x) is not an odd function
Read more about odd functions at:
https://brainly.com/question/18129625
Can someone please answer number 7. The first question. Pleaseeeeee
Answer:
0
Step-by-step explanation:
5^2-4(5)-5=2(5)-10
0=0
Answer:
(3) {5,7}
Step-by-step explanation
135 people voted for it on gauth math
what is the standard form for ( 4 × 10 ) + ( 3 × 1 100 ) + ( 5 × 1 1000 )
The standard form of the expression (4 × 10) + (3 × 1/100) + (5 × 1/1000) is 40.035
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have expression:
= (4 × 10) + (3 × 1/100) + (5 × 1/1000)
= 40 + 0.03 + 0.005
= 40.035
Thus, the standard form of the expression (4 × 10) + (3 × 1/100) + (5 × 1/1000) is 40.035
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ1
A sphere has a radius of 5 inches. What is its volume?
Given ↓
Radius of sphere = 5 inTo Find ↓The volume of the sphereCalculations ↓
[tex]\blue{\boxed{\mathsf{V=\frac{4}{3} \pi r^3}}[/tex]
↑ formula for volume of a sphere
r = 5 in
Plug in the value of r and solve :
[tex]\blue{\boxed{\mathsf{V=\frac{4}{3}\pi (5)^3}}}[/tex]
Simplify as follows :
[tex]\blue{\boxed{\mathsf{V=\frac{4}{3}\pi *125} }}[/tex]
[tex]\blue{\boxed{V=\frac{4}{3} *392.7}}[/tex]
Final Step :
[tex]\blue{\boxed{\pmb{V=523.6\:in\:^3}}[/tex]
[tex]\footnotesize\text{hope\:helpful}[/tex]
Evaluate the following; ( rounding off to three decimal places) 1.2.1 cos 243,2°
Answer:
-0.45
Step-by-step explanation:
put that in a calculator
round off to 2 decimal places
The measures of the angles between the resultant and two applied forces are 26° and
20°, and the magnitude of the resultant is 80 pounds. Find the magnitude of the
larger force, to the nearest 10th of a pound.
Answer:
48.8 lbs
Step-by-step explanation:
The forces can be modeled by a triangle with acute angles 20° and 26°, and obtuse angle 134° opposite a side of length 80. The larger component force will be opposite the angle 26°, and can be found using the Law of Sines:
a/sin(A) = c/sin(C)
x/sin(26°) = 80/sin(134°)
x = 80sin(26°)/sin(134°) ≈ 48.753 . . . . pounds
The larger component force is about 48.8 pounds.
What is the y-intercept of the line with
a slope of 2 that passes through the
point (1, 2)
Step-by-step explanation:
y=mx+c
2=2(1)+c
c=2-2
c=0
Please help!! I will give brainiest
Answer:
1) 13.9
2) 96. 0
3) 667.2
Step-by-step explanation:
Edge
Hope this helps!!
Question Tell whether the statement is true or false. If A is 15% of B, then B:A is 85:15. Please Help!!!
HELPPP
Carmen is going to build some large wooden storage boxes. The boxes are shaped like rectangular prisms, as shown below. She wants to cover all the sides of
each box with special wallpaper. If she has a total of 1498 ft? of wallpaper, how many boxes can she cover?
Answer:
7 boxes
Step-by-step explanation:
The area of a rectangular prism is given by the formula ...
A = 2(LW +H(L+W))
The amount of wallpaper Carmen needs for one box is found by computing the area of the box.
__
One boxA = 2(5·6 +7(5+6)) = 2(30 +7·11) = 2(107) = 214 . . . square feet
All boxesCarmen will be using a total of 214x square feet of wallpaper to cover x boxes. She has 1498 ft² available, so can cover ...
1498 ft²/(214 ft²/box) = 7 boxes
Carmen has enough wallpaper to cover 7 storage boxes.
Please help on math.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
F' = (9, -1)Step-by-step explanation:
Original coordinates of F
F = (-9, -1)It is reflected across the y-axis.
Transformation of coordinates across y-axis
(x, y) ⇒ (-x, y)Therefore, on reflection, the coordinates of F' will be :
(-9, -1) ⇒ (-(-9), -1)F' = (9, -1)solve this question.....
Answer:
22.5 km
Step-by-step explanation:
Since 1 cm on the map is 250000 cm in real life :
We can convert 250000 cm to km :
First we convert to m :
250000 ÷ 100 = 2500 m
Now we convert m into km :
2500 ÷ 1000 = 2.5 km
Now we multiply 2.5 km by 9 cm to get :
2.5 × 9 = 22.5 km
Therefore the 2 villages are 22.5 km apart.
Hope this helped and brainliest please.Answer:
2.25 million km
Step-by-step explanation:
Step 1. Write ratio with "x"
Step 2. Create a proportion
Step 3. Cross multiply
Step 4. Solve for "x"
1 : 250,000
9 cm : x km
1/250,000 = 9/x
x = (9)(250,000)
x = 2.25 million km
BRAINLIEST please if this helped!Consider the following y-intercept and slope:
(0,−5)m=5
Step 1 of 2 :
Find the equation of the line for the y-intercept and slope given above.
Answer:
y = 5x - 5
Step-by-step explanation:
What is the gross profit if I buy a product for $125 and sell it for $150?
Answer:
You are making 25$ in profit. You do this by subtracting 150-125. to get 25.
Step-by-step explanation:
Hope This Helps
Have A Great Day
~Zero~
What is the answer to this?…
Answer:
-2
Step-by-step explanation:
a negative divided by a negative is a positive
Answer:
n = -2
Step-by-step explanation:
-6/n = 3
multiply n on both sides
-6 = 3n
divide 3
-2 = n
n = -2
2(1 + 47) - 7 = 5(n + 7) + 5
$3.00 with the
same number of nickels and dimes
Answer:
15 each i think
Step-by-step explanation:
please slove the problem in the below pic
First integral:
Parameterize -C (the reverse of C) by [tex]z = e^{it}[/tex] where [tex]0\le t \le\frac\pi2[/tex]. Then the contour integral is
[tex]\displaystyle \int_{-C} (z^2 - z + 2) \, dz = \int_0^{\frac\pi2} \left(e^{2it} - e^{it} + 2\right) i e^{it} \, dt[/tex]
[tex]\displaystyle = i \int_0^{\frac\pi2} \left(e^{3it} - e^{2it} + 2e^{it}\left) \, dt[/tex]
[tex]\displaystyle = i \left(\frac1{3i} e^{3it} - \frac1{2i} e^{2it} + \frac2i e^{it}\right) \bigg|_0^{\frac\pi2}[/tex]
[tex]\displaystyle = \left(\frac13 e^{3it} - \frac12 e^{2it} + 2 e^{it}\right) \bigg|_0^{\frac\pi2}[/tex]
[tex]\displaystyle = -\frac43 + \frac53i[/tex]
Then
[tex]\displaystyle \int_C (z^2-z+2) \, dz = -\int_{-C} (z^2+z-2) \, dz = \boxed{\frac43 - \frac53i}[/tex]
Second integral:
The integrand has a pole of order 2 at z = 3i which is contained in C. By the residue theorem,
[tex]\displaystyle \int_C \frac{z^2+z}{(z-3i)^2} \, dz = 2\pi i\, \mathrm{Res}\left(\frac{z^2+z}{(z-3i)^2}, z=3i\right)[/tex]
Compute the residue:
[tex]\displaystyle \mathrm{Res}\left(\frac{z^2+z}{(z-3i)^2},z=3i\right) = \lim_{z\to3i} \frac{d}{dz}\left[z^2+z\right] = \lim_{z\to3i} (2z+1) = 1 + 6i[/tex]
Then the value of the integral is
[tex]\displaystyle \int_C \frac{z^2+z}{(z-3i)^2} \, dz = 2\pi i (1 + 6i) = \boxed{-12\pi + 2\pi i}[/tex]