Given:
[tex]P(A)=0.4, P(B)=0.7, P(A\text{ and }B)=0.3[/tex]
To find:
The value of [tex]P(A\text{ or }B)[/tex].
Solution:
We know that,
[tex]P(A\text{ and }B)=P(A\cap B)[/tex]
[tex]P(A\text{ or }B)=P(A\cup B)[/tex]
It means, we have [tex]P(A)=0.4, P(B)=0.7, P(A\cap B)=0.3[/tex] and we need to find the value of [tex]P(A\cup B)[/tex].
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
[tex]P(A\cup B)=0.4+0.7-0.3[/tex]
[tex]P(A\cup B)=1.1-0.3[/tex]
[tex]P(A\cup B)=0.8[/tex]
Therefore, the value of [tex]P(A\text{ or }B)[/tex] is 0.8.
What is the solution for x In the inequality -3x+4<16
Answer:
x > -4
Step-by-step explanation:
-3x + 4 < 16
-3x < 16 - 4
-3x < 12
-x < 4
x > -4
Answer:
x > -4
Step-by-step explanation:
-3x+4<16
Subtract 4 from each side
-3x+4-4<16-4
-3x < 12
Divide each side by -3, remembering to flip the inequality since we are dividing by a negative.
-3x/-3 > 12/-3
x > -4
What is the angle through which the pendulum oscillates between two maximum positions?
Answer:
does this help
Step-by-step explanation:
What is the maximum angle of a pendulum?
Paul Appell pointed out a physical interpretation of the imaginary period: if θ0 is the maximum angle of one pendulum and 180° − θ0 is the maximum angle of another, then the real period of each is the magnitude of the imaginary period of the other.
(X^2 - 8x + 12) / x- 6
Answer:
X2x−14+12x
Step-by-step explanation:
express 12.383838 in p/q form
Answer:
12383838 is the answer
1000000
If my initial angle is 30 degrees, what is the negative coterminal angle?
Answer:
Step-by-step explanation:
Coterminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side. For example 30° , −330° and 390° are all coterminal.
Answer:
-330°Step-by-step explanation:
Coterminal angles have a difference of 360° or multiples of 360°.
Negative coterminal angle with 30° is:
30° - 360° = -330°HELP I NEED THIS RN ITS DUE IN LIKE 5 MINS A CARTON CAN HOLD 1,000 UNIT CUBES THAT MESURE 1 INCH BY 1 INCH DESCRIBE THE DIMENSIONS OF THE CARTON USING UNIT CUBES
Answer:
the dimensions would b 10 10 and 10
Jean-Luc is shopping for a gift for a friend. He will need to pay an additional 7% sales tax on anything he buys. He can spend a total of $40 on the gift, including the tax.
Part A: Suppose that a certain gift costs d dollars before the tax is added. Write an inequality to show that the total cost that Jean-Luc would spend on the item is no more than $40.
Part B: Solve the inequality for d. What is the price in dollars, before the tax is added, of the most expensive gift th
Answer:
i dont know
Step-by-step explanation:
HELPPPPZ WORTH 30 POINTS AND BRAINLIEST
You don't need help my dude, you already have all of the right answer. Good job!!!
please help. will give brainliest! review the table of values for function p(x). what is lim (x -14) p(x), if it exists? (table and answer options pictured)
Answer:
DNE
Step-by-step explanation:
The the given table, we have;
As x approaches -14 from the left, at x = -14.001, p(x) = 1.96
[tex]\lim \limits _{x \to -14^{-}} p(x) = 1.96[/tex]
As x approaches -14 from the right, at x = -13.999, p(x) = 1.97
[tex]\lim \limits _{x \to -14^{+}} p(x) = 1.97[/tex]
The value of p(x) when x = -14 is [tex]\lim \limits _{x \to -14} p(x)[/tex] = Undefined, or is not definable, therefore, p(x) Does Not Exist (DNE) when x = -14, and we have;
[tex]\lim \limits _{x \to -14} p(x)[/tex] Does Not Exist, DNE.
Answer
It's C. 2 on edge.
Step-by-step explanation:
-0.85 - (-¼) + 0.4 + (-⅖) ?
what is the value of this expression?
Answer:
-0.6
Step-by-step explanation:
-0.85-(-1/4)+0.4+(-2/5)
=-0.85+0.25+0.4-0.4
=-0.6
A block of sugar maple wood has a mass of 82.8 g and density of 0.69 g/cm3. The block is a rectangular prism with a length of 5 cm and a width of 4 cm. What is the height of the block of sugar maple?
Answer:
6
Step-by-step explanation:
I believe if you fallow the mathematical process of d=m/v you will get 6
The height of the block of the sugar maple from the rectangular prism is 6 cm.
What is the volume of a rectangular prism?The volume of a rectangular prism signifies the rectangular area enclosed by the prism. The equation used in calculating the formula for a rectangular prism can be expressed as:
V = length × width × height
From the parameters given:
mass of a sugar maple = 82.8 gThe density of the sugar maple = 0.69 g/cm³[tex]\mathbf{Desity = \dfrac{mass}{volume}}[/tex]
[tex]\mathbf{volume = \dfrac{82.8 g }{0.69 \ g/cm^3}}[/tex]
volume = 120 cm³
Using the previous equation for calculating the volume of a rectangular prism, we have:
120 cm³ = 5 cm × 4 cm × height
120 cm³ = 20 cm² × height
height = 120 cm³/20 cm²
height = 6 cm
Learn more about a rectangular prism here:
https://brainly.com/question/128724
Which drawing shows lines that are PARALLEL?
Answer:
Step-by-step explanation:
I don’t see any pictures
From the set {7, 15, 18), which of the values can be substituted for c to make the
equation true.
90 - 2c = 60
A. 7
B. 18
C. none of these
D. 15
Answer:
D. 15
Step-by-step explanation:
90 - 30 = 60
2 • 15 = 30
the answer is 15
Please check my answer if you can. i got 600 with help from a brainly tutor but i don't think it is correct
I think I know this one.
Answer: V = 600 unit 2
Step-by-step explanation:
We have that
the volume of the rectangular pyramid is
V = (1/3) BH
where
B is the area of the rectangular face
H is the height of the pyramid
step 1
Find out B
B = (15)(10) unit 2
step 2
Find the volume
B = 150 unit 2
H = 12 unit
substitute
V = (1/3)(150)(12)
V = 600 unit 2
I hope this help you! :)
Graph
plz step by step
Answer:
Step-by-step explanation:
The equation shown in the question can be seen graphed in the image attached below. As you can see with the graphed equation the variable x can be any real number except for -1. This is because a -1 would cause the denominator of the fraction to be equal to 0, and a fraction with a denominator as 0 is a null value and does not exist.
I WILL GIVE THE BRAINLIEST TO WHOEVER CAN SOLVE THIS RIGHT NOW!!
Central Park is shaped like a rectangle. Two diagonally-opposite corners of the park are located at (-8, 6) and (5, -4) on the coordinate plane.
Which coordinate pairs are the locations of the other two corners?
The two coordinate pairs for the locations of the other two corners are shaped in rectangle. Two diagonally oposite corners of the park are located ( - 6, 3) and (3, 4)
Hope this helped you!
(pls branliest too thanks)
Steffie makes a scale drawing for a crate with a scale factor of 1 to 3 the dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1 to 9
Answer:
The length is 5 inches and the width is 4 inches
Step-by-step explanation:
Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36
Builders scaled image = (45 / 9) by (36 /9) = 5 by 4
Geometric sequence
Answer options:
A) an=54(-3)n-1
B) an=-2(-3)n-1
C) an=25(-2)n-1
D) an=4(-5)n-1
what do I do and how
Answer:
f(x) is another way of saying "y", but when x is replaced with a number, it just means that x = that number.
Since A says to find f(7), it means that in this scenario, x = 7. So, 2x - 5 is turned into 2(7) - 5, which equals 14 - 5, which equals 9.
So, f(7) = 9.
You can then apply this to the rest of the numbers you are given.
I hope this helps! :)
Help plsss no links!!! What is the measure of X in degrees?
Answer:
40⁰
Step-by-step explanation:
As triangle is isosceles,
Z = Y = 70⁰
Thus X = 40⁰, to corporate angle sum property
Which model represents 1/2 divided by 1/6?
Answer:
The answer I believe is : D.
~ Hope this is correct, if I'm wrong I'm sorry, have a gr8 day/ night my friend!~
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
What is the area of the polygon? Show your work!
Answer:
6+6=12 cm
4+4=8 cm
6+6= 12 cm
Add all together and it equals 32
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
I LOVE DOING THESE
4x6=24
24x0.5=12
12x4=48
4x4=16
48+16=64
Neeeeeeeeeed helppppppppppppp
What is the area of the rectangle
Answer:
20
Step-by-step explanation:
Subtract the 2 from the width of 7, and then multiply the height by the width.
4x5=20
please help me do this question i cant seem to get it
Answer:
2 < x < 24
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
13 - 11 < x < 13 + 11
2 < x < 24
HELP ASAP!!draw dotted lines to show the parallelogram or rectangle that can be used to find the area of each triangle then find the area of each triangle
Answer:
The rectangle that we could use to find the area of the yellow triangle, is a rectangle of length = 12cm and a width = 8 cm. (A image of this can be seen below).
Remember that:
The area of a rectangle of length L and width W is:
A = W*L
The area of a triangle rectangle with catheti a and b is:
A = a*b/2
Then the area of the rectangle of length = 12cm and width = 8cm is:
A = 12cm*8cm = 96 cm^2
Now we need to subtract twice the area of a triangle rectangle of catheti a = 8cm and b = 6cm
(one cathetus is 6cm because is exactly half of the length of the rectangle)
The area of each one of these triangle rectangles is:
A' = 8cm*6cm/2 = 24cm^2
The area of the yellow triangle will be:
A = A - A' = 96cm^2 - 2*24cm^2 = 48cm^2
6.
The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 45 miles per hour?
A. 80 hours
B. 900 hours
C. about 1.78 hours
D. 2.25 hours
Answer:
C. about 1.78 hours
Step-by-step explanation:
Answer:
1.78 hours
Step-by-step explanation:
If t varies inversely with the speed, the formula for that is t= \frac{k}{r} . If t = 2 and r = 40, then we can solve for k, the constant of variation. Multiply both sides by 40 to get k = 80. Now we need to find the value for t when r = 45. Using the k value we just solved for, we will fill in the equation as t= \frac{80}{45} for a t value of about 1.78 hours
...............................................................................................................................................
Answer: about 1.78 hours
...............................................................................................................................................
t = k/r
2 = k/67
k = 134 (which happens to be the distance)
t = 134/r
t = 134/55
t = 2.436 hours
...............................................................................................................................................
The formula for this is t = k/r, read "t varies inversely as r". If the info they give us is 4 hours and 35 miles per hour, we find that k = 140. Now use that 140 in another equation to solve for t: t = 140/45, and t = 3.1 hours
...............................................................................................................................................
t = k/r\
4 hours and 35 miles per hour,
we find that k = 140.
Now use that 140 in another equation to solve for t:
t = 140/45, and
t = 3.1 hours
A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20
Complete Question
A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20 dozen?
Answer:
11 2/3 cups of flour
Step-by-step explanation:
From the above question:
6 dozen = 3 1/2 cups of flour
20 dozen = x
Cross Multiply
6 dozen × x = 20 dozen × 3 1/2 cups of flour
x = 20 dozen × 3 1/2 cups of flour/6 dozen
x = 20 × 7/2 /6
x = 140/2 ÷ 6
x = 140/2 × 1/6
x = 140/12 cups of flour
x = 11 8/12
= 11 2/3 cups of flour
Therefore, 11 2/3 cups of flour must be used to make 20 dozen.
What’s the domain of this graph?
Answer: ( ∞ , -∞ )
Step-by-step explanation:
What is 2 units up and 0 to the right from (-4,2).
Answer:
Step-by-step explanation:
What is 2 units up and 0 to the right from (-4,2).
Answer:
(-4,4)
Step-by-step explanation: