The value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers, option (B) is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of outcomes = 9×8 = 72
(because the total number of digits excluding 0)
Event A: choosing 8 as the first digit
Event B: choosing a number less than 6 as the second digit
Total favourable outcomes = 1×5 = 5
Because there are total 5 digits that are less than 6 {1, 2, 3, 4, 5}
Probability = 5/72
Thus, the value of the probability P(A and B) is 5/72 if the house numbers along a street consist of two-digit numbers option (B) is correct.
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Answer:
The answer is B I'm pretty sure.
Step-by-step explanation:
Time4Learning 2022 quiz
2. (07.01)
In a city school, 70% of students have math class, 65% have science class, and 45% have math
and science class this semester. What is the probability (rounded to the nearest whole percent)
that a randomly selected student will have science class this semester, given that the student is in
math class? (1 point)
Hint: P(AB)
P(ANB)
P(B)
O 93%
20%
69%
Answer:
[tex]P(\text{Science}|\text{Math})\approx64\%[/tex]
Step-by-step explanation:
[tex]\displaystyle P(\text{Science}|\text{Math})=\frac{P(\text{Science and Math})}{P(\text{Math})}\\\\P(\text{Science}|\text{Math})=\frac{0.45}{0.70}\\ \\P(\text{Science}|\text{Math})\approx0.643\approx64\%[/tex]
None of the answer choices have this solution apparently, so either you left out some option, mistyped them, or it wasn't there to begin with
Draw a line representing “rise” and line representing the “run of the line state the slope of the line .state the slope of the line in the simplest form.
Answer:
slope 4/5
Step-by-step explanation:
The attachment shows the rise in green (4 grid squares), and the run in red (5 grid squares). The slope is the ratio rise/run.
__
The slope is rise/run = 4/5.
Which expression is equivalent to (2q - 8) - (2q - 7)
The equivalent expression is -1
Byrn has a stack of photos measuring 12cm wide and 16cm high. He wants to display them on a large rectangular poster in such a way that all photos are equally spaced on each side, including at the edges of the poster, as illustrated (in the attached file)
Q1. Bryn wants to display 9 photos (with longer side vertical) in 3 rows of 3 photos each with 2cm spacing around each photo. What are the dimensions of the poster?
Q2. Bryn wants to display 24 photos (with longer side vertical) with 2cm spacing around each photo. He wants more columns than rows of photos. Find the smallest poster area that is needed.
Q3. Bryn wants to display 18 photos in 3 rows of 6 photos each with 3cm spacing around each photo. The photos may all be displayed in portrait orientation (longer side vertical) or in landscape (longer side horizontal). Which orientation uses the lesser poster area?
Q4. Bryn wants to display 24 photos (with longer side vertical) in 6 rows of 4 photos each with equal spacing around each photo. He has a poster that is 62cm wide and 120cm high. He wants to use the full width of the poster but is prepared to trim some of its height to achieve the equal spacing. How much of the poster does he need to trim?
Please provide working out for all of the answers. Thanks.
The answers for the questions are:
1) The dimensions of poster are 44cm by 56cm
2) The smallest poster area needed is 5328 square centimeter
3) The orientation that uses the lesser poster area is portrait.
4) He needs to trim 4.4cm of the height of poster
What is a rectangle?A rectangle is a quadrilateral with opposite sides equal and all angles 90°
Analysis:
1) since there are 3 photos per row, the spacing for the three photos are 4. Also since there are 3 photos on the column, the spacing would be 4
width of poster = 2x4 + 3x12 = 8 + 36 = 44cm
Height of poster = 4x2 + 3x16 = 56cm
2) possible combinations, are 8 picture on a row and 3 picture on a column
width = 9spacing x 2cm + 8 pictures x 12 = 114cm
length = 4 spacing x 2 + 3pictures x 16 = 56cm
12 pictures on a row and 2 pictures on a column
width = 13 spacing x 2cm + 12 pictures x 12 = 170cm
length = 3 spacing x 2cm + 2 pictures x 16 = 38cm
6 pictures on a row and 4 pictures on a column
width = 7 spacing x 2cm + 6 pictures x 12 = 72cm
length = 5 spacing x 2cm + 4 pictures x 16 = 74cm
The smallest area is 74 x 72 = 5328 square centimeter
3. For portrait,
width = 6 photos x 12cm + 7 spacing x 2cm = 86cm
length = 3 pictures x 16cm + 4 spacing x 2cm = 56cm
For landscape,
width = 6 photos x 16cm + 7spacing x 2cm = 110cm
length = 3 pictures x 12cm + 4 spacing x 2 = 44cm
The lesser poster area is portrait orientation with 86 x 56 = 4816 square centimeter.
4. Let the equal spacing be P
for full width = 62cm
4pictures x 12cm + 5 spacing x P = 62
48 + 5p = 62
5P = 62-48
5P = 14
P = 14/5 = 2.8cm
length of poster using equal spacing of 2.8cm
length would take 6 photos
6 photos x 16 + 7 spacing x 2.8 = 115.6cm
original length of poster is 120cm
so he would need to trim (120-115.6) = 4.4cm
In conclusion, The answers to the questions are:
1) dimensions of poster are 44cm by 56cm
2) The smallest poster area needed is 5328 square centimeter
3) The orientation that uses the lesser poster area is portrait
4) He needs to trim 4.4cm of the height of poster
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50 x 1000
pls reply guys
Answer:
50,000 fifty-thousand
Step-by-step explanation:
Just use a calculator
Given the equation y= 3x + 8, what would be the value of y be when x = 3?
A. 17
B. 14
C. 1
D. 15
Answer:
[tex]y = 17[/tex]
Step-by-step explanation:
We were given the equation
[tex]y = 3x + 8[/tex]
and we were told that x = 3, therefore y would be
[tex]y = 3x + 8 \\ y = 3(3) + 8 \\ y = 9 + 8 \\ y = 17[/tex]
Find the surface area
Answer:
the surface area is 648
Solution:
A=2(wl+hl+hw)=2·(9·9+13.5·9+13.5·9)=648
Alannah picked out 10 apples that cost a total of $5. On her way to the checkout counter, she decided she really wanted 12 apples. If all the apples are the same price, how much will Alannah pay for 12 apples? Explain how each child came up with their answer?
6 dollars for 12
Step-by-step explanation:
if she paid 5 dollars for 10, you would do 10/ 5 which would get you 2 dollars per apple so she would pay 6dollars for 12 apples
Need help with this topic
Based on the picture below what would the genotypes of the parent plants be? Use the other questions to help you answer this.
Thank you so much.
Answer:
ant sorry you no entendía
Find the value of D of a square and the sides are 4 n 4 n 4 n 4 and D is diagonal
Answer:
D = 4√2Step-by-step explanation:
Formula:
In a square with sides each of length ‘a’ :
The diagonal D of the square = a√2
…………………………………………………………
The square ,in our example has 4 sides all of Length 4 ,then
D = 4√2
You may use k to represent the constant of variation in your working if necessary.
Answer:
r = 1.6
Step-by-step explanation:
given r varies directly with m² and inversely as n then the equation relating them is
r = [tex]\frac{km^2}{n}[/tex] ← k is the constant of variation
to find k use the condition r = 18 when m = 6 and n = 4 , then
18 = [tex]\frac{k(6)^2}{4}[/tex] = [tex]\frac{36k}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
72 = 36k ( divide both sides by 36 )
2 = k
r = [tex]\frac{2m^2}{n}[/tex] ← equation of variation
when m = 2 and n = 5 , then
r = [tex]\frac{2(2)^2}{5}[/tex] = [tex]\frac{2(4)}{5}[/tex] = [tex]\frac{8}{5}[/tex] = 1.6
3.
Identify a horizontal or vertical stretch or compression of the function ƒ(x) = x2 by observing the equation of the function g(x) = (4x)2.
Using translation concepts, it is found that there was a horizontal compression of the function.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, there was a multiplication in the domain of the function, by a factor greater than 1, hence there was a horizontal compression of the function.
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z + 15 = 21
z =
help mee please and thank you
hhelp plssssssssssssssssssssssssssss
Answer:
This is false
Step-by-step explanation:
I need help on these 2 questions how did I get it wrong? and for question 3 I'm not supposed to have the = sign so what am I supposed to replace it with?
Answer:
3.
m + 7 ≥ 20
Subtract 7 on both sides,
m ≥ 20 - 7
m ≥ 13
The answer is m ≥ 13.
( you need to include both > and =, that is ≥ )
4.
2.1x = 23.1
Divide 2.1 on both sides,
x = 23.1 / 2.1
x = 11
Answer:
For problem #3, we are given [tex]m+7\geq 20[/tex] so we would just subtract 7 from both sides to get rid of the 7 on the left and that would end up subtracting 7 from 20 also leaving us with [tex]m\geq 13[/tex].
For problem #4, we are given [tex]2.1x=23.1[/tex] so we would just divide both sides by 2.1 which would get rid of the 2.1 on the left and that would also make us divide 23.1 by 2.1 leaving us with [tex]x=11[/tex].
Hope this helps! Let me know if you have any questions
17. A farmer sells com to a restaurant and a grocery store. One week, the farmer sells a combined
total of more than 120 bushels.
Which graph best represents the solution set for all possible combinations of x, the number of
bushels sold to the restaurant, and y, the number of bushels sold to the grocery store, for the
week?
The graph best represents the solution set for all possible combinations of x and sold to the grocery store, for the week is option D.
Which graph describes the possible combinations sold?
A graph can be described as a pictorial representation of data. The bushels of corn sold is greater than 120. Thus, the shaded area should be above the line and the line should be a straight line.
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WILL MARK BRAINLIEST
Answer:
The sum of the given sequence is 180Step-by-step explanation:
Find each term
t₁ = 2*1 + 7 = 9t₂ = 2*2 + 7 = 11t₃ = 2*3 + 7 = 13...t₉ = 2*9 + 7 = 25t₁₀ = 2*10 + 7 = 27The series is
9, 11, 13, ..., 25, 27The sum of series can be shown as
9 + 11 + 13 + ... + 25 + 27Find the sum
S₁₀ = 10/2*(9 + 27) = 5*36 = 180Answer:
180
Step-by-step explanation:
The given series means to sum the first 10 terms of the sequence [tex]a_t=2t+7[/tex]
[tex]\begin{aligned}\displaystyle \sum^{10}_{t=1}2t+7 & = (2 \cdot 1+7)+(2 \cdot 2+7)+...+(2 \cdot 9+7)+(2 \cdot 10+7)\\ & =2(1+2+...+9+10)+10(7)\\\\& = 2(1+2+...+9+10)+70\\\\ & = 2(55)+70\\\\& = 110+70\\\\ & = 180 \end{aligned}[/tex]
what function is represented below?
Answer:
the second i think i dont know for sure
The New York Yankees are having a promotion. For the first 2500 fans to enter the stadium they will receive a signed baseball. The stadium holds 50086 people and was sold out for the game. What is the probability of receiving one of the signed baseballs?
Answer:
Step-by-step explanation:
Comment
(Fans who received a baseball) = 2500
Total number of seats in Yankee Stadium = 50086
P(those who got a baseball) = 2500 / 50086
Answer P(Those who got a baseball) = 0.04991 rounded.
Please help me for the 2nd part
there isn’t an image provided I can’t help unless you give an image
which is the graph of f(x)=3√x
Answer: The first graph
Step-by-step explanation:
It's the first one. I don't know how to explain, haha.
Find the measure of A
Answer:
<A = 60°
Step-by-step explanation:
The triangle is 180° Angle A and B add up to 118°
4y° + (3y + 13)° = 118°
7y + 13 = 118°
7y = 105
y = 15
Since you solve for y, plug your y into the angles to solve.
<A = 4y
<A = 4 * 15
<A = 60°
Can you please help me with number 5 asap? Thank you! : )
Step-by-step explanation:
the manufacturing costs are defined by
m(x) = 25x + 150
the selling revenue is defined by
s(x) = 50 + 30x = 30x + 50
clearly, the selling amount is bigger than the manufacturing amount (also supported by the fact that 30x > 25x). otherwise the company is going bankrupt in no time.
so,
a)
the profit is (as usual) revenue minus manufacturing :
p(x) = 30x + 50 - 25x - 150 = 5x - 100
b)
x = 150
p(150) = 5×150 - 100 = 750 - 100 = $650
since the result is positive, yes, they are making a profit. and it is $650.
Answer:
5.a) p = 5x - 100
b)p = $650
Step-by-step explanation:
5.a)
Revenue minus cost:p - Profit
p - Profitc - Cost
p - Profitc - Cost - revenue
p = r - c
p = (30x + 50) - (25x + 150)
p = 5x - 100
b) The company will make profit.
p = 5x - 100
p = 5(150) - 100
p = 750 - 100
p = $650
or
p = (30×150 + 50) - (25 × 150 + 150)
p = $650
Find the Area and circumference of each circle below.
Answer:
2: area is ≈153.93804 and circumfrence is ≈43.9823
3: area is ≈706.85835 and circumfrene is ≈94.24778
Step-by-step explanation:
The formula for area is A = pi r^2
for 2 you would plug 7 in for r, then square it, then multiply it by pi.
for 3 you would divide the diameter, 30, by 2 to get r (15), then square it then multiply by pi.
The formula for cirumfrence is C = 2 pi r
for 2 you would multiply 7 by 2, then multiply that by pi
for 3 you dont need to do much since the diameter (30) is already 2r. Basically all you need to do for that one is multiply 30 by pi
Find the equation of the line passing through the points (−4,−7) and (−4,−6).
Your answer should take the form x=a or y=a, whichever is appropriate.
Answer:
y=x-7
Step-by-step explanation:
Rise over run
-6-(-7)
---------- = 0
-4-(-4)
Point Slope form
y+7=0(x+4)
Y=MX + B
y=x-7
The equation of the line passing through the points (−4,−7) and (−4,−6) in the form of a will be a + 4 = 0.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The equation of the line passing through the points (−4,−7) and (−4,−6) will be
y + 6 = [(−6 + 7) / (−4 + 4)] (x + 4)
y + 6 = (1/0)(x + 4)
x + 4 = 0
Put x = a, then the equation will be
x + 4 = 0
a + 4 = 0
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Write the ratio 40.5 to 8.1 as a fraction
[tex]\cfrac{40.5}{8.1} ~~ \begin{cases} 40.5\implies \frac{405}{10}\\\\ 8.1\implies \frac{81}{10} \end{cases}\implies \cfrac{ ~~ \frac{405}{10} ~~ }{\frac{81}{10}}\implies \cfrac{405}{10}\cdot \cfrac{10}{81}\implies \cfrac{405}{81}\cdot \cfrac{10}{10} \\\\\\ \cfrac{5\cdot 81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot \cfrac{81}{81}\cdot \cfrac{10}{10}\implies \cfrac{5}{1}\cdot 1\cdot 1\implies \cfrac{5}{1}[/tex]
I need help with this problem, Iceman drove at an average speed of 50 mi/h from her home in Seattle to visit her sister in St. Louis. She stayed in St. Louis for 15 hours, and on the trip back averaged 35 mi/h. She returned home 42 hours after leaving. How many miles is Seattle from St. Louis?
To solve this problem, we have to figure out the time spent travelling and then use the speed-distance-time equation to find the distance between the two places. The distance between Seattle and St. Louis is 2295 miles.
How many miles is Seattle from St. LouisTo calculate the miles or distance between Seattle and St. Louis, we have to take into consideration that out of the 42 hours she spent in her journey, she stayed 15 hours over at St. Louis.
[tex]42 - 15 = 27[/tex]
She spent 27 hours travelling.
Her speed in the first journey was 50mi/h and her speed in the second journey was 35mi/h.
This implies she was faster in her first journey compared to her second journey.
Data;
time = 27 hoursspeed = 85mi/h[tex]speed = \frac{distance}{time} \\distance = speed * time[/tex]
Let's substitute the values
[tex]distance = (50 + 35) * 27 = 2295mi[/tex]
The distance between Seattle and St. Louis is 2295 miles
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What are the measures of ∠CED and ∠BCE in the figure?
Answer:
∠CED = 70°
∠BCE = 134°
Step-by-step explanation:
Finding z :
∠EDC = ∠ABC (Alternate angles)8z = 64z = 8Finding ∠CED :
∠CED = 9z - 2∠CED = 9(8) - 2∠CED = 70°Finding y :
∠CDE = ∠BAC (Alternate angles)70 = 3y + 103y = 60y = 20Finding ∠BCE :
∠BCE = 7y- 6∠BCE = 7(20) - 6∠BCE = 134°Answer:
∠CED = 70°
∠BCE = 134°
Step-by-step explanation:
We don't know if AB and DE are parallel (since there are no arrows on these line segments), therefore we cannot use the Alternate Interior Angles Theorem at this point to definitively say that ∠CDE = ∠ABC.
Angles around a point sum to 360°
Angles on a straight line sum to 180°
⇒ ∠ACB + ∠BCE = 180
⇒ ∠ACB + (7y - 6) = 180
⇒ ∠ACB = 180 - (7y - 6)
⇒ ∠ACB = 180 - 7y + 6
⇒ ∠ACB = 180 - 7y + 6
⇒ ∠ACB = 186 - 7y
The interior angles of a triangle sum to 180°
⇒ ∠ACB + ∠CBA + ∠BAC= 180
⇒ 186 - 7y + 64 + 3y + 10 = 180
⇒ 260 - 4y = 180
⇒ 4y = 80
⇒ y = 20
Using the found value of y to find ∠BCE:
⇒ ∠BCE = 7(20) - 6
⇒ ∠BCE = 134°
Angles on a straight line sum to 180°
⇒ ∠DCE + ∠BCE = 180
⇒ ∠DCE + 134 = 180
⇒ ∠DCE = 46°
The interior angles of a triangle sum to 180°
⇒ ∠DCE + ∠CED+ ∠EDC = 180
⇒ 46 + (9z - 2) + 8z = 180
⇒ 17z + 44 = 180
⇒ 17z = 136
⇒ z = 8
Using the found value of z to find ∠CED:
⇒ ∠CED = 9(8) - 2
⇒ ∠CED = 70°
How is the step by step of this problem
Answer:
I would edit this answer and tell you what I hope would be the correct answer if you give me the problem you are confused with
Step-by-step explanation:
I can't help you otherwise
Sorry
