Explanation:
We're given that
P(A) = 0.53P(B) = 0.17P(A and B) = 0.901Note that P(A)*P(B) = 0.53*0.17 = 0.0901 which is somewhat similar to 0.901 but not entirely the same. We have an extra zero between the decimal point and the nine. So this indicates that [tex]P(A)*P(B) \ne P(\text{A and B})[/tex]. Therefore, events A and B are not independent. We consider them dependent.
I NEED ASAP ON THIS MATH PROBLEM
Which inequality is displayed on the number line?
1. Represent the following sentence as an algebraic expression, where "a number" is the letter x.
8 is added to a number.
2. When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?
Original Equation:
4x-5= -4
First Step:
4x= 1
A. multiplication property of equality
B. addition property of equality
C. commutative property of addition
D. commutative property of multiplication
Answer:
The answer is C since she is adding 5 to both sides
Hope This Helps!!!
Which represents the explicit formula for the arithmetic sequence an = 7 - 3(n - 1) in function form?
Answer:
f(n) = 7 - 3n + 3 and
f(n) = 10 - 3n or
f(n) = -3n + 10
Step-by-step explanation:
what is the value of y if x = 4
Answer:
5aaaaaaaaaaaaaaaaaaaaaaaa
(Help me please!!)
Write the equation of each linear relationship in slope-intercept form. (Convert the slope to decimal form.)
X: 25, 35, 45, 55
Y: 94. 88, 82, 76
Answer:
y = -0.6x +109
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (88 -94)/(35 -25) = -6/10 = -0.6
The y-intercept is ...
b = y -mx = 94 -(-0.6)(25) = 109
The equation of the line is ...
y = mx +b
y = -0.6x +109
What is the y-intercept of a line that passes through the points (1,-7) and (5,-15)?
Answer: (0,-5) or just -5
Step-by-step explanation:
gradient = change in y/change in x = (-7+15)/(1-5) = -2
y = -2x + c
-7 = -2 x 1 + c
c = -7 + 2 = -5
y intercept is (0, -5)
Anna is making soft toys she can sell at the fair. She can make 3 soft toys
in 5 hours. How many soft toys can she make in 20 hours?
OA) 10
OB) 12
OC) 16
OD 20
Answer:B
Step-by-step explanation:
20/5 = 4
4 x 3 =12
Answer:
C
Step-by-step explanation:
which one weighs more a watermelon that weighs 1.7 kilograms or a pumpkin that weighs 12 pounds?
Answer : pumpkin that is 12 pounds
Step - by - step explanation :
First, convert . . . what is 1.7 kilograms as pounds ? 3.74786 ( rounded is 4 pounds )
Second, compare . . . 4 < 12
Hope this helped ! :>
The volume of an eraser is 9.6cm cube Its height is 0.8cm find the area of it base
Step-by-step explanation:
V epual to L x W x H
9.6cm x 0.8cm
9.6
x 0.8
46
Answer:
12 cm
Step-by-step explanation:
[tex]v_{eraser} = area \: of \: base \times height \\ \\ \therefore \: area \: of \: base = \frac{v_{eraser}}{height} \\ \\ = \frac{9.6}{0.8} \\ \\ = 12 \: cm[/tex]
A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the following procedures would produce a simple random sample?
Assign the homework questions the numbers 1–10. Use a random number table to select the first three numbers between 1 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.
Assign the homework questions the numbers 01–10. Use a random number table to select the first three 2-digit numbers between 01 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.
Answer:
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.
Step-by-step explanation:
Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.
How to Assign Random Numbers?
We are told that a teacher assigned 10 questions for homework and would like to randomly pick 3 questions to be graded. Now, this simply has to follow the correct procedure of random selection.
The procedure that the teacher should follow is as follows;
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.Read more about Random Numbers at; https://brainly.com/question/251701
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Sam has a piece of rope that is 3. feet long. He cuts the rope so that one piece
is 13 feet long. How long is the other piece?
2 feet
2 feet
27 feet
12 feet
Done
Answer:
1.11 feet
Step-by-step explanation:
i assume you meant inches not feet so you will just multiply 3 feet by 12 to change it into 36 inches do 36-13 get 33 dived by 12 get 1 with a remainder of 11 so 1.11
Two similar triangles are shown on the coordinate grid:
A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 2, negative 1, vertex B on ordered pair 0, 0, and vertex C on ordered pair 1, negative 3. A triangle A prime B prime C prime is also shown with vertex A prime on ordered pair negative 4, 2 , vertex B prime on ordered pair 0, 0 and vertex C prime on ordered pair 2, 6.
Which set of transformations has been performed on triangle ABC to form triangle A′B′C′? (5 points)
Dilation by a scale factor of 4 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the x-axis
Dilation by a scale factor of 4 followed by reflection about the y-axis
Dilation by a scale factor of 2 followed by reflection about the y-axis
The set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis
The coordinates of the triangles are given as:
Triangle ABC
[tex]A =(-2, -1)\\[/tex]
[tex]B =(0, 0)[/tex]
[tex]C =(1, -3)[/tex]
Triangle A'B'C'
[tex]A' = (-4, 2)[/tex]
[tex]B '=(0, 0)[/tex]
[tex]C '=(2, 6)[/tex]
Start by dilating triangle ABC by a scale factor of 2.
The rule of this transformation is [tex](x,y) \to (2x,2y)[/tex]
So, we have:
[tex]A' =(-4,-2)[/tex]
[tex]B' =(0,0)[/tex]
[tex]C' = (2,-6)[/tex]
Next, we reflect the triangle across the x-axis.
The rule of this transformation is [tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]A' = (-4, 2)[/tex]
[tex]B '=(0, 0)[/tex]
[tex]C '=(2, 6)[/tex]
Hence, the set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis
Read more about transformation at:
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winter coat was originally priced at 140$ and went on sale for 91$ by what percentage was the price of the winter coat reduced?
Answer:
35%
Step-by-step explanation:
Find out what percent 91 is of 140
91÷140 = 0.65
Then find out how much was reduced by subracting 0.65 from 1
1 - 0.65 =0.35
The coat was reduced by 35%
The perimeter of a square is 16 inches what is the length of each side?
what is the value of x? what is the length of MN.
Pls ASAP
Answer:
x = 20, MN = 36Step-by-step explanation:
It is assumed the triangles in the picture are similar.
As per similarity, the ratio of corresponding sides is same.
Compare the ratios and find the value of x:
MN/JK = MP/JL(2x - 4)/12 = 15/5(x - 2)/6 = 3x - 2 = 18x = 20Find the length of MN:
MN = 2*20 - 4 = 40 - 4 = 36[tex]\\ \sf\longmapsto \dfrac{12}{5}=\dfrac{2x-4}{15}[/tex]
[tex]\\ \sf\longmapsto 15(12)=5(2x-4)[/tex]
[tex]\\ \sf\longmapsto 180=10x-20[/tex]
[tex]\\ \sf\longmapsto 10x=200[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
Which equation is equivalent to the formula r = st? t equals s over r t = rs s equals r over t s = rt.
Answer:
Step-by-step explanation:
r = st------------Other correct expressions:
t = r/s
s = r/t
------------------
Choices
1) t = s/r No
2) t = rs No
3) s =r/t Yes
4) s = rt No
The equation that is equivalent to the given equation is [tex]s = r/t[/tex] and this can be determined by using the arithmetic operations.
Given :
Equation is [tex](r = st)[/tex].
The following steps can be used in order to determine the equation that is equivalent to the given equation:
Step 1 - Write the given equation.
[tex]r = st[/tex] --- (1)
Step 2 - The arithmetic operations can be used in order to determine the equation that is equivalent to the given equation.
Step 3 - Now, divide 't' on both sides in the equation (1).
[tex]\dfrac{r}{t} = \dfrac{st}{t}\\\\\\dfrac{r}{t}=s[/tex]
Therefore, the correct option is C).
For more information, refer to the link given below:
https://brainly.com/question/11897796
Use the information to answer the question.
A crew is loading crates onto a train. They can load 4 crates every 1.25 minutes. Each crate weighs 160 pounds.
C
=
At that rate, how many minutes would it take the crew to load crates with a total weight of 2400 pounds? Round the answer to the nearest
tenth. Enter the answer in the box.
minutes
Plz help me no links
Answer:
4.7
Step-by-step explanation:
2400/160 =15 crates
4/1.25=3.2 crates a minute
15/3.2=4.68 minutes
4.7 because it rounds up
To load 2400 pounds of crates crew will take around 4.69 minutes.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given,
Crew can load 4 crates every 1.25 minutes
4 creates ⇔ 1.25 minutes
Given,
1 crate = 160 pounds
So,
4 crate = 640 pounds
So,
640 pounds ⇔ 1.25 minutes
1 pound ⇔ 1.25/640 minutes
To load 2400 pounds
2400 pounds ⇔(1.25/640)2400 minutes
2400 pounds ⇔ 4.6875 minutes.
Hence " To load 2400 pounds of crates crew will take around 4.69 minutes".
For more information about ratio and proportion,
brainly.com/question/26974513
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Which equation choice could represent the graph shown below?
Which graph best represents the solution set of y 3 x − 4?
Answer:
Step-by-step explanation: i dont know but i still can help i think its answer The graph that best represent the solution set of y > 3x - 4 is D. The inequality is as follows: y > 3x - 4. lets find y when x = 0.
Find profit or loss percent if CP-Rs 900 and loss =Rs 360
loss%=loss/CP×100%
=Rs.360/Rs.900×100%
=Rs. 360/9
loss% =40% ans
Find the area of a rectangle & triangle! NEED HELP ASAP
Answer:
For rectangle: A=wl
Step-by-step explanation:
Multiply the length by the with to find the answer
which system of equations cannot be readily solved by the substitution method 6x+12y=11
Answer:
Step-by-step explanation:
well first off when you work through the promblem you will have to think about the promblem like the variables will cancel out and will have a equation consisting of only contasts.
PLEASE HELP I"LL GIVE BRAINLEAST
Rico paid $180 sales tax on his new $2,400 motorcycle. What was the sales tax percentage rate where he bought his motorcycle?
7.0% tax rate
7.5% tax rate
8% tax rate
6.5% tax rate
Answer:
7.5 % Tax rate
Step-by-step explanation:
I used used the calculator to figure out the rate
$2,400 X 7.5%= 180
..............................
Answer:
A rational number is a number that doesn't terminate or repeat
a non rational number is a number that terminates or repeats
so she basicelly got mixed up
Hope This Helps!!!
the sum of kyras and calebs age is 37. calebs age is equal to twice the quantity of kyras age decreased by 4. let k represent kyras age.
A local store buys used video games. For each game bought, they will pay $18 less than the original price paid for the game. Which expressions represent the total amount Jordan will receive if he sells n games that originally cost d dollars each? Select two options.
d (n minus 18)
n (d minus 18)
d + n minus 18
d n minus 18 n
18 n minus d n
Answer:
d
Step-by-step explanation:
I already did this before
Answer:
it B and D
Step-by-step explanation:
Find the value of x, y, and z.
A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m^3/min. How fast is the height of the water increasing
Answer:
[tex]\frac{3}{25\pi}[/tex] meters per minute
Step-by-step explanation:
Given:
[tex]V=\pi r^2h[/tex]
[tex]r=5[/tex]
[tex]\frac{dV}{dt}=3[/tex]
[tex]\frac{dh}{dt}=?[/tex]
Substitute r=5:
[tex]V=\pi r^2h[/tex]
[tex]V=\pi(5)^2h[/tex]
[tex]V=25\pi h[/tex]
Differentiate both sides:
[tex]\frac{d}{dt}V=\frac{d}{dt}(25\pi h)[/tex]
[tex]\frac{dV}{dt}=25\pi\frac{dh}{dt}[/tex]
Solve for dh/dt:
[tex]3=25\pi\frac{dh}{dt}[/tex]
[tex]\frac{3}{25\pi}=\frac{dh}{dt}[/tex]
Therefore, the height of the water is increasing at a rate of [tex]\frac{3}{25\pi}[/tex] meters per minute.
Which expression is equivalent to −78−(−34)
HELP PLEASE!