Given:
[tex]4\times 50 =8\times 25[/tex]
To find:
The steps to prove the given statement by using the properties of multiplication.
Solution:
We have,
[tex]4\times 50 =8\times 25[/tex]
Taking left hand side, we get
[tex]LHS=4\times 50[/tex]
[tex]LHS=4\times (2\times 25)[/tex]
[tex]LHS=(4\times 2)\times 25[/tex] (Associative property of multiplication)
[tex]LHS=8\times 25[/tex]
[tex]LHS=RHS[/tex]
Hence proved.
After a late night of studying, Ebony decides to grab a latte before class so she can stay awake through her morning lecture. She has only a one-dollar bill, a five-dollar bill, and a ten-dollar bill in her wallet. She pulls one out and looks at it, but then she puts it back. Distracted by a flyer for a new campus organization, she randomly hands a bill from her wallet to the clerk. Construct a sample space, and find the probability that (a)Both bills have the same value. (b)The second bill is smaller than the first bill. (c)The value of each of the two bills is even. (d)The value of exactly two of the bills is odd. (e)The sum of the values of both bills is less than . Write your answers in exact, simplified form.
Answer:
[tex]P(Same\ Bill) = \frac{1}{3}[/tex]
[tex]P(Second<First\ Bill) = \frac{1}{3}[/tex]
[tex]P(Both\ Even) = \frac{1}{9}[/tex]
[tex]Pr(One\ Odd) = \frac{4}{9}[/tex]
[tex]P(Sum < 10) = \frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]Bills: \$1, \$5, \$10[/tex]
[tex]Selection = 2\ bills[/tex]
The sample space is as follows:
This implies that we construct possible outcome that Ebony selects a bill, returns the bill and then select another.
This means that there are possibilities that the same bill is selected twice.
So, the sample space is as follows:
[tex]S = \{(1,1), (1,5), (1,10), (5,1), (5,5), (5,10), (10,1), (10,5), (10,10)\}[/tex]
[tex]n(S) = 9[/tex]
Solving (a): [tex]P(Same\ Bill)[/tex]
This means that the first and second bill selected are the same.
The outcome of this are:
[tex]Same = \{(1,1),(5,5),(10,10)\}[/tex]
[tex]n(Same\ Bill) = 3[/tex]
The probability is:
[tex]P(Same\ Bill) = \frac{n(Same\ Bill)}{n(S)}[/tex]
[tex]P(Same\ Bill) = \frac{3}{9}[/tex]
[tex]P(Same\ Bill) = \frac{1}{3}[/tex]
Solving (a): [tex]P(Second < First\ Bill)[/tex]
This means that the second bill selected is less than the first.
The outcome of this are:
[tex]Second < First = \{(1,5), (1,10), (5,10)\}[/tex]
[tex]n(Second < First) = 3[/tex]
The probability is:
[tex]P(Second<First\ Bill) = \frac{n(Second<First\ Bill)}{n(S)}[/tex]
[tex]P(Second<First\ Bill) = \frac{3}{9}[/tex]
[tex]P(Second<First\ Bill) = \frac{1}{3}[/tex]
Solving (c): [tex]P(Both\ Even)[/tex]
This means that the first and the second bill are even
The outcome of this are:
[tex]Both\ Even = \{(10,10)\}[/tex]
[tex]n(Both\ Even) = 1[/tex]
The probability is:
[tex]P(Both\ Even) = \frac{n(Both\ Even)}{n(S)}[/tex]
[tex]P(Both\ Even) = \frac{1}{9}[/tex]
Solving (e): [tex]P(Sum < 10)[/tex]
This question has missing details.
The correct question is to determine the probability that, the sum of both bills is less than 10
The outcome of this are:
[tex]One\ Odd = \{(1,10), (5,10), (10,1), (10,5)\}[/tex]
[tex]n(One\ Odd) = 4[/tex]
The probability is:
[tex]Pr(One\ Odd) = \frac{n(One\ Odd)}{n(S)}[/tex]
[tex]Pr(One\ Odd) = \frac{4}{9}[/tex]
Solving (d): [tex]P(One\ Odd)[/tex]
This question has missing details.
The correct question is to determine the probability that, exactly one of the bills is 0dd
The outcome of this are:
[tex]Sum < 10 = \{(1,1), (1,5), (5,1)\}[/tex]
[tex]n(Sum < 10) = 3[/tex]
The probability is:
[tex]P(Sum < 10) = \frac{n(Sum < 10)}{n(S)}[/tex]
[tex]P(Sum < 10) = \frac{3}{9}[/tex]
[tex]P(Sum < 10) = \frac{1}{3}[/tex]
The number of newspaper subscriptions currently sold in a city is 15,895. The
number of newspaper subscriptions has been decreasing at a rate of 12.8% per year.
What is the best prediction for the number of newspaper subscriptions the company
will have in 5 years? Round answer to a whole number. Only type the number in the
blank, nothing else.
Answer:
About 8014 subscriptions.
Step-by-step explanation:
We can write an exponential function to model the situation.
The standard form of an exponential function is given by:
[tex]f(x)=a(r)^x[/tex]
The current newspaper subscriptions is 15,895. So, a = 15895.
It has been decreasing at a rate of 12.8% each year.
In other words, the number of subscriptions next year will be 100% - 12.8% = 87.2% or 0.872 of the previous year. Thus, r = 0.872.
So, our function is:
[tex]f(x)=15895(0.872)^x[/tex]
Where x is the time that has passed in years.
So the number of newspaper subscriptions after five years will be:
[tex]f(5)=15895(0.872)^5\approx8014\text{ subscriptions}[/tex]
What is the product?
Answer:
I believe that it is the 2nd option x(x-1)/2 but I could be wrong sorry if I am
If b=5 what is b3 answer?
Answer:
15
Step-by-step explanation:
We know that b=5. Therefore, b is 5. Therefore, we plug this into the expression. (5)3. 5 times 3 is equal to 15. Therefore, the answer is 15.
If this has helped you please mark as brainliest
What does x=3 represent in a graph?
Answer:
you need a photo
Step-by-step explanation:
(3,0)
y-axis=(0,3) = |
x-axis=(3,0) = _
(where the 3 is)
Tammy harvested pounds of nuts from her pecan tree. If she divides the nuts into pound bags, how many bags will she have?
Answer: Tammy would have 9
Step-by-step explanation:
(6 3/4) / (3/4) =
= 27/4 / 3/4
= 27/4 * 4/3
= 27/3 * 4/4
= 9
Helpppp Please Please pretty please help this is TIMES NO LINKS or I WILL REPORT YOU I will mark brainliest please give explanation please
Answer:
W = 15.5 in.
A = 240.25 in.^2
Step-by-step explanation:
L = 31 in.
W = 1/2 W = 15.5 in.
A = LW/2
A = 31 in. * 15.5 in. / 2
A = 240.25 in.^2
Write an equation of the ellipse with foci at (+3,0) and co-vertices at (0, +-1).
Find the value of x in the circle below.
Answer:
I think x=7
7x=9 * 21
look at pic 10 pts will mark brainilest
Answer:
A
Step-by-step explanation:
It’s a
Answer:
A
Step-by-step explanation:
this isa because the 2 rectangles on the net will make the sides and the triangles will finish the prism when u fold it it will be a rectangular prism plz mark me brnliest ill send u friend request
A rectangle has a length of 5cm and a height of 4cm. Find the area of the rectangle
Answer: 20cm
Step-by-step explanation: 5cm x 4cm = 20cm
Hope this Helps!
Answer:
18
Step-by-step explanation:
I need help asap for the math
I found out that I do not have honors math for the coming school year and instead have a regular math class… i am disappointed because I always have been in honor classes and then this happens not sure how this happened but I can’t change it.. but is regular math class just as good as honors? what are the differences between the two
Answer:
well in my school its that in honors math you are doing the math of next year kinda like ap math and regular your doing your school year math but im not fully sure if it works like that every where
Step-by-step explanation:
Answer: it’s just as good as honors but you go faster and it’s a bit more complicated in honors classes for me at least it’s nothing too bad (this is my school system so it might be different for everyone :P)
Step-by-step explanation:
I have almost all honors except math too cause maths isn’t my favorite subject and I’m not so good at it :> I still get good grades tho so ya honors=regular—> mostly the same, has some differences
The mean high temperature on a particular day in January is 31 degrees F and the standard deviation is 8.7 degrees. One year, the temperature was 52 degrees F on that day. What is the Z-score for that day's temperature? Round to the appropriate number of decimal places for Z-scores. Is this temperature significantly high? (greater than 2)
Answer:
jsjs gnckdoesosensjkcjbdjd
7. A city is building a fence around a rectangular playground. If the perimeter of the playground is 100 feet and the length of one side of the fence is 32 feet, what is the width of the playground?
Answer:
100-32=68
Step-by-step explanation:
there are 68 feets on the playground
Does anyone know this ??
Answer:
C
Step-by-step explanation:
because I took the test
log7 (-5k-3)=log7 -4k
Answer:
k = -3
Step-by-step explanation:
log7(-5k - 3) = log7 (-4k)
---> -5k - 3 = -4k
-k - 3 = 0
k = -3
What is the area, in square inches, of the trapezoid below?
14.6 in
6.7 in
19.6 in
7.9 in
Answer: A =
in?
Submit Answer
Answer:
140.16
Step-by-step explanation:
A truck weighs 14,000 pounds how many tons do two truck weigh
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
7 ton....Because :
1 ton = 2000 pounds
7×2000 = 14,000 pounds
Hope it helps!
Brainliest pls!
Follow me! :)
help i will not pass if i get wrong
Answer:
Hello! answer: 28.26
Step-by-step explanation:
You find circumfrence by doing diameter × pi or
radius × 2 × pi since we have are diameter this shall be a breeze 9 × 3.14 = 28.26 therefore the circumfrence is 28.26 hope that helps!
Answer:
28.26 in.
Step-by-step explanation:
9 x 3.14
= 28.26
I could be wrong but I don't think so
The value of a angle
The sum of adjacent angles equals 180 degrees. Opposite angles are equal, so if you know the value of one angle, its opposite partner will have the same value. For example, if the value of one angle is 75 degrees its adjacent angle will be 105 degrees and its opposite angle will also be 75 degrees.
Jay places $3200 in an investment account earning 4.1% interest compounded weekly. How much money would he have in the account after 5 years, if he made no deposits or withdrawals during that time?
Answer:
A = $3,926.71
Step-by-step explanation:
Given: Principal (P) = $3200, Annual Rate (R) = 4.1%, Time = 5 years
To find: How much money would he have in the account after 5 years, if he made no deposits or withdrawals during that time?
Formula: [tex]A = P(1 + r/n)^nt[/tex]
Solution: Compound interest is one of the most important concepts to understand when managing your finances. It can help you earn a higher return on your savings and investments, but it can also work against you when you're paying interest on a loan
First, convert R as a percent to r as a decimal
r = R/100
r = 4.1/100
r = 0.041 rate per year,
Then solve the equation for A
A = P(1 + r/n)[tex]^{nt}[/tex]
A = 3,200.00(1 + 0.041/12)[tex]^{(12)(5)}[/tex]
A = 3,200.00(1 + 0.003416667)[tex]^{(60)}[/tex]
A = $3,926.71
Hence, Jay would have $3,926.71 after 5 years is if he made no deposits or withdrawals during that time.
Look at the problem below.
p + q = 17
If p = 8, what is q?
B. II
A. 25
C. 9
D. 8
Answer:
C
Step-by-step explanation:
8+q=17
17-8=9
The answer is 9
You would replace p in the equation with 8, then subtract 8 from 17 leaving you with 9
The depth of a river at flood stage is marked as "O" on a tall pole in the middle of a riverbank. The pole is marked in 1-foot intervals above
and below 0 to show the current depth of the water.
Drag a value and a word to the blanks to complete the sentence.
When the water level is at the "-4" mark on the pole, the river is
feet
the flood stage.
Answer:
When the water level is at the "-4" mark on the pole, the river is 4 feet below the flood stage.
Step-by-step explanation:
Given
[tex]Flood\ stage = 0[/tex]
Required
What does -4 represents
From the question, we can deduce that:
[tex]Above = +ve\ intervals[/tex]
[tex]Below = -ve\ intervals[/tex]
-4 belongs to the "below" category.
Hence, -4 mark represents 4 feet below the flood stage
Bella has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $353.59.
She buys 3 bicycle reflectors for $4.98 each and a pair of bike gloves for $38.63.
She plans to spend some or all of the money she has left to buy new biking outfits for $49.20 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Bella can purchase while staying within her budget.
Step-by-step explanation:
$540 - $353.59 = $186.41
$186.41 - $4.98 = $181.43
$181.43 - $38.67 = $142.8
She has $142.8 left and if she want to buy the outfits for $49.20 she is going to have $93.6 left
Can somebody please help me and tell me what the error is!! PLEASE I NEED HELP ELSE I WILL FAIL MY CLASS AND GO TO SUMMER SCHOOL SO PLESE HELP ME!
Shannon has 1 nickel, 2 dimes, and 5 unknown coins totaling $0.81. What kind of coins does Shannon have and how many are there of each denomination?
Answer:
The 5 unknown are 1 quarter, 3 dimes, and 1 penny.
Answer:
One penny
One nickel
Five dimes
One quarter total
Step-by-step explanation:
81 - 25(coins we know) = 56 cents left
So we know we need 1 penny
Then 4 coins make up 55 cents, so that's a quarter & 3 dimes
Chen has $2.10 in nickels, dimes, and quarters. He has three
times as many quarters as dimes and four times as many
nickels as dimes. How many of each coin does Chen have?
Answer:
6 quarters, 2 dimes, 8 nickels.
Step-by-step explanation:
.25*6=1.5
.10*2=.2
.5*8=.4
1.5+.2+.4=2.1
What is the volume of the sphere below?
A. 500/3 pie units 3
B.100/3 units 3
C. 25/3pie units 3
D. 125/3 pie units 3
Answer:
A. 500/3π units³
Step-by-step explanation:
The volume of a sphere is given by 4/3πr³:
4/3π5³
4/3π125
500π/3
find the reciprocal of each number 2/3, 1/7, 4 ( show work)
Answer:
A reciprocal is the fraction flipped around. So basically 3/2, 7/1, and 1/4. Since 4 is a whole number the denominator is 1. Therefore, the reciprocal is 1/4.