Corrected Question
Sue travels by bus or walks when she visits the shops. The probability that she catches the bus to the shops is 0.4. The probability she catches the bus from the shops is 0.7. Show the probability that Sue walks at one way is 0.72
Answer:
[tex]P(A \cup B) =0.72[/tex] (Proved)
Step-by-step explanation:
Sue travels by bus or walks when she visits the shops.
Let the event that she catches the bus to the shop=A
Let the event that she catches the bus from the shop=B
P(A)=0.4
P(B)=0.7
Both A and B are independent events.
Therefore,Probability that she catches the bus to and from the shop:
P(A∩B) = 0.4 X 0.7= 0.28
Probability Sue walks at least one way [tex]P(A \cup B) = 1 - P(A \cap B)[/tex]
[tex]= 1 - 0.28\\= 0.72[/tex]
Hence, the probability that Sue walks at least one way is 0.72.
Factor the polynomial expression x4 + 18x2 + 81
Answer: [tex](x^2+9)^2[/tex]
Step-by-step explanation:
Rewrite it in the form [tex]a^2+2ab+b^2[/tex] , where [tex]a=x^2 and b=9.[/tex]
[tex](x^2)^2+2(x^2)(9)+9^2[/tex]
Use Square of Sum: [tex](a+b)^2= a^2+2ab+b^2[/tex]
[tex](x^2+9)^2[/tex]
-8÷+12×9-4×6÷56÷7×2
Answer:
[tex] \frac{ - 300}{49} [/tex]
or -6.122
Step-by-step explanation:
In answering this kind of questions, you must take note of BODMAS. that is;
B - Bracket
O - Of (multiplication)
D - Division
M - Multiplication
A - Addition
S - Subtraction
and you have to answer by the order above to get the correct answer. thank you
hope it helps .
Answer:
-6 176/189
Step-by-step explanation:
-8÷+12×9-4×6÷56÷7×2=
-8÷108- 24÷56÷14=
-2/27-24×14÷56=
-2/27- 48/7=
-7 + 1/7- 2/27=
-7 + (27-14)/27*7=
-7+ 13/189=
-6 176/189
Pat has 4 flowerpots, and she wants to plant a different type of flower in each one. There are 7 types of flowers available at the garden shop. In how many different ways can she choose the flowers?
Answer: 28
Step-by-step explanation:
times 4 and 7 seven and get your answer
the answer is 28:)
7x4=28
HELP!! IMPORTANT!! PLEASE HELP!!
John checked his answer and found that it was incorrect. John’s work is below. What did he do incorrectly?
ℎ + 10 = 25
ℎ + 10 + 10 = 25 + 10
ℎ = 35
Please list everything he did incorrectly! Thank you!!
Answer:
he added 10 instead of subtracting 10 to isolate the variable, then he just removed the 20 that would be with the variable
Step-by-step explanation:
Plz help...
I’m offering 10 pts
Answer:
B._________________________
Which exspression is equivalent to :
Answer:
C
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
Step-by-step explanation:
Take you ruler and draw a horizontal line from point (0,-2)
When you do, the point where y = -2 is when x = - 3
Answer:
x = -3
Step-by-step explanation:
the question asks for what x the function = -2
if you imagine horizontal line passing through -2 then you cann see that it crosses graph when x = -3 and 0
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
Answer:
Option (4)
Step-by-step explanation:
An ordered pair (x, y) represents,
x = number of days that a library book is late
y = Total fee for the delay
Late fee of a library book = $0.30 per day
Then late fee of a book for the delay of 'x' days,
y = per day fee × number of days delayed
y = [tex]0.30\times x[/tex]
Option (1). For (-3, -0.90)
Since number days can't be negative so not the answer.
Option (2). For (-2.5, -0.75)
Number of days are negative so can't be the answer.
Option (3). For (4.5, 1.35)
Fee for 4.5 days will be,
y = 0.30(4) [Since fee is charged after completion of one day or in the midnight]
Fee for 4.5 days will be the same as fee for 4 days.
y = $1.20
Therefore, this option will not be the answer.
Option (4). For (8, 2.40)
y = 0.30x
y = 0.30(8)
y = 2.40
Therefore, option (4) will be the answer.
Answer:
8,2.40
Step-by-step explanation:
- 2.5f + 0.4f - 15 - 4
Answer:
Simplify the f's variables -2.1
Simplify the numbers -19
-2.1f -19 is the answer
-2.1f -19Answer-2.1f-24:
Step-by-step explanation:
Type the correct answer in the box. If necessary, use / for the fraction bar. Give your answer in reduced form.
A card is drawn at a random from a well-shuffled deck of playing cards. The probability that the card drawn is an ace or a red card is
Answer:
37.5% chance
Step-by-step explanation:
well if there are 52 card in a deck and 4 aces.
the probability that it will be red is 50%. As half of the cards are red and the other half is black. the probablility it wil be an ace is 25%. so finding the middle of those would be 37.5%
Answer:
It says an ace or a red card. Red cards have a 50% chance plus 2 black ace cards 26 cards is half red plus 2 28/52 Answer Reduces to: 7/13
Step-by-step explanation:
I need help! Please
Answer:
Step-by-step explanation:
[1,2]
local maxima means curve is curved downwards.
in [1,2] it is curved downward.
Answer:
The answer is [1,2]
Step-by-step explanation:
Do you understand now.
Feel free to ask for further explanation
Hello, I am having troubles with brainly I can't search anything because it just brings up the screen that no one has asked that question before or something along those lines. Thanks for reading.
Answer:
jus make a new acc
Step-by-step explanation:
Answer:I recommend looking it up on a different website or wording it differently.
hope this helps.
Step-by-step explanation:
An athletics squad trains on a long straight track with dots marked at 10m intervals. The coach sets out cones on some of the dots for the squad's sprint training drills. She wants the squad to be able to run any distance which is a multiple of 10m, up to some maximum distance which depends on the number of cones.
Explain why it is not possible to place four cones A, B, C, D, in a line so that each multiple of 10m up to 70m can be run between two of the cones.
Answer:
There are 6 ways to run 10 m between two cones of the four cones giving a maximum available distance to run as 60 meters
Step-by-step explanation:
The parameters given are
Distance between two cones = 10 m
Number of cones = 4
Therefore, number of ways to choose two 10 m distances (distance between two cones) from the four cones = [tex]\binom{4}{2}[/tex] = 6
Hence there are only six 10 m distances to run between two cones which gives a maximum distance available to run as 60 m.
What is the range of the function g for the given domain?
g(x) = 2x - 5
D = (-2, 0, 2, 4)
Answer:
R = {-9, -5, -1, 3}
Step-by-step explanation:
To find the range, plug in each value of the domain into the given equation for x.
g(-2) = 2 (-2) - 5 = -9
g(0) = 2 (0) - 5 = -5
g(2) = 2 (2) - 5 = -1
g(4) = 2 (4) -5 = 3
Answer:
R = {-9, -5, -1, 3}
Step-by-step explanation:
We can determine the range of the function g by inputting each given domain value into the function itself.
g(x) = 2x - 5 and D = {-2, 0, 2, 4}
g(-2) = 2(-2) - 5 = -4 - 5 = -9
g(0) = 2(0) - 5 = 0 - 5 = -5
g(2) = 2(2) - 5 = 4 - 5 = -1
g(4) = 2(4) - 5 = 8 - 5 = 3
Therefore, R = {-9, -5, -1, 3}.
I hope this helps!
I need help plzzzzzz
Answer:
C) -b > 0
Step-by-step explanation:
as per the graph
a<b<c and a<0, b<0
A) a>b
incorrect as a is on the left from bB) -b < -c
incorrect, b<c, when negative applied to both sides, inequality is reversedC) - b> 0
correct, as b<0, when negative applied it make b positive, i.e greater than zeroA quadrilateral-shaped land property is drawn on a coordinate grid. Two adjacent sides of the property lie along the lines y = 4x + 8 and y = – 0.25x – 9, with one corner of the property at the intersection point P of the lines. One of these sides ends at an oak tree located at (–1, 4) and the other side ends at a pine tree located at (4,–10).
What are the coordinates of the point where the two lines intersect?
Answer:
P(-4,-8)
Step-by-step explanation:
Given two lines:
[tex]y = 4x + 8;$ and $ \\y = -0.25x - 9[/tex]
To determine the point of intersection P of the lines, we equate the two lines and solve for (x,y).
[tex]4x + 8= -0.25x - 9\\4x+0.25x=-9-8\\4.25x=-17\\$Divide both sides by 4.25$\\x=-4\\$Recall:$\\y = 4x + 8\\=4(-4)+8\\=-16+8\\=-8[/tex]
Therefore, the intersection point P of the lines is: P(-4,-8)
what is the leading coefficient of the polynomial f(x) defined below:
Explanation:
The leading term of a polynomial is the term with the largest exponent, which in this case that exponent is 4. So the leading term is -3x^4.
The leading coefficient is the coefficient of the leading term. The coefficient of the term -3x^4 is -3.
If the polynomial is written in standard form, then the process is as simple as reading the first coefficient. Otherwise, you may have to sort the terms out first.
Which statement explains the relationship of sides BA and B'A' after rectangle BADC has been rotated 90° clockwise about the origin?
coordinate plane with rectangle ABCD at A (3,5), B (1,3), C (5,-1), and D (7,1)
Side B'A' has a slope of −1 and is perpendicular to side BA.
Side B'A' has a slope of 1 and is parallel to side BA.
Side B'A' has a slope of 1 and is perpendicular to side BA.
Side B'A' has a slope of −1 and is parallel to side BA.
Answer:
Numbering the options, we have;
1) Side B'A' has a slope of −1 and is perpendicular to side BA.
2) Side B'A' has a slope of 1 and is parallel to side BA.
3) Side B'A' has a slope of 1 and is perpendicular to side BA.
4) Side B'A' has a slope of −1 and is parallel to side BA.
The correct option is;
1) Side B'A' has a slope of -1 and is perpendicular to side BA
Step-by-step explanation:
The given coordinates are;
A(3, 5) B(1, 3), C(5, -1) and D(7, 1)
The slope of BA is found as follows;
[tex]Slope \, of BA= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} =\dfrac{3-5}{1-3}= \dfrac{-2}{-2} = 1[/tex]
Rotation of a line through 90 degrees gives
(x, y) will be (y, -x)
Therefore, the coordinates of A' = (5, -3)
The coordinates of B' = (3, -1)
Then the slope is given as follows;
[tex]Slope \, of \, B'A' =\dfrac{-1 -(-3)}{3-5}= \dfrac{2}{-2} = -1[/tex]
Therefore side B'A' has a slope of -1 and is perpendicular to side BA.
Option (4) will be the correct option.
Coordinates of the vertices of rectangle ABCD are,
A(3, 5), B(1, 3), C(5, -1) and D()Slope of a segment with endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the expression,
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of segment BA (m₁) = [tex]\frac{3-5}{1-3}[/tex] = 1
If a point (h, k) is rotated 90° clockwise about the origin, rule to be followed,
(h, k) → (-k, h)
Following this rule,
B(1, 3) → B'(-3, 1)
A(3, 5)→ A'(-5, 3)
Slope of segment B'A' (m₂) = [tex]\frac{1-3}{-3+5}=-1[/tex]
Expression representing two segments with slopes [tex]m_1[/tex] and [tex]m_2[/tex] to be perpendicular,
[tex]m_1\times m_2=-1[/tex]
Since, slopes of two segments BA and B'A' are (1) and (-1).
(1) × (-1) = -1
Therefore, both the segments BA and B'A' will be perpendicular.
Option (4) will be the answer.
Learn more,
https://brainly.com/question/16949200
What is the value of i^n if the remember of n/4 is 2
Answer: 1
Step-by-step explanation:
If n/4 = 2, then n = 8
[tex]i^8 = i*i*i*i*i*i*i*i\\i*i=-1\\i^8=(-1)(-1)(-1)(-1) = 1*1 = 1[/tex]
What is the range of the function 2x + y = 7
if the domain is {-4, -2,0, 5, 7)?
Answer| range: {15, 11, 7, -3, -7}
Step-by-step explanation:
Plug in the domain to find the range:
x = 4
2(-4) + y = 7
-8 + y = 7
y = 15
x = -2
2(-2) + y = 7
-4 + y = 7
y = 11
x = 0
2(0) + y = 7
0 + y = 7
y = 7
x = 5
2(5) + y = 7
10 + y = 7
y = -3
x = 7
2(7) + y = 7
14 + y = 7
y = -7
The length, width, and height of Richards Fish tank are 24 inches 16 inches and 18 inches,respectively. Richard is filling his fish tank with water from a hose at the rate of 500 cubic inches per minute. How long will it take to the nearest minute to fill the tank to a depth of 15 inches
Answer: 12 minutes
Step-by-step explanation:
Volume of water in the tank
l x b x h = 24 * 16 * 15 = 5760 cu. in.
Time it will take to fill the tank
= 5760 / 500 = 11.52 = 12 minutes
The smallest angle of rotational symmetry for a regular polygon is 30°. How many sides does the regular polygon have?
which two operations are needed to write the expression that repersents "four times the difference of a number and three"
Answer:
4 (x-3)hhkjcdrtuvddistheansww
Need help people please help me
Answer:
The first option
Step-by-step explanation:
To get your answer you have to divide 5 and 4 and another way to write the answer is 5/4.
Answer: it is 1/4
Step-by-step explanation:
Please help me! The answer choices are included in the picture.
Answer:
C
Step-by-step explanation:
Let's just look at the point G(3) = 3
this point only occurs through one equation which is
g(x) = (1/3)x^2
Answer:
The answer is 1/3x^2 or in your case C.
Step-by-step explanation:
Well I just add the points on Desmos graphing. The 3rd one was able to hit the points (3,3) and (-3,3). The others did not.
Brainliest? Answer ASAP plz Which of the following values are in the range of the function graphed below? Check all that apply.
Answer: D.6
Step-by-step explanation:
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values.
The on;y possible value for y is Y=6, so the answer is D
Answer:
6
Step-by-step explanation:
The range is the output values, or in this case the y values
The only y value is 6
The range is 6
Can anybody help me solve for surface area?
(Formula=add all the areas of the faces)
Answer:
230.3cm^2
Step-by-step explanation:
surface area: sum of all faces
base: 12 x 2.5 = 30cm^2
back: 84 cm ^2
cross section x 2 = 7 x 2.5 = 17.5
use Pythagoras theorem to find the width of slope: 7^2 + 2.5^2 = 49 + 6.25 = 55.25. square root of 55.25 = 7.4
so, area of slope : 7.4 x 12 = 88.8cm^2
sum of all areas: 114 + 106.3 = 230.3
Please help! Correct answer only!
For a fundraiser, there is a raffle with 125 tickets. One ticket will win a $500 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$___
Answer:
$4
Step-by-step explanation:
Since for each of the 125 tickets there is an equal chance of winning the 500 dollars, for each ticket there is an expected payoff of 500/125=4 dollars. Hope this helps!
Solve for x in the equation x2 - 12x+36-90
0
X=6+3/10
X=6:27
X= 12+3.22
X = 12:3.10
Answer:
The Answer is A) X=6+3/10
Step-by-step explanation:
x = 6 + 3 √ 10 , 6 − 3 √ 10
Decimal Form:
x = 15.48683298 , − 3.48683298
Find the area of the figure
Answer:
Step-by-step explanation:
170. LxW=A
20x8.5=170
Answer:
360 cm^2
Step-by-step explanation:
If you move the triangle to the right, you can see it fits perfectly into the right side of the parallelogram. Therefore, we have a rectangle, with width 20 and height 18. 18x20=360.
