Answer: where's the heights?
Step-by-step explanation:
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]
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
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.
Which expression is equivalent to?
Answer:
D
Step-by-step explanation:
multiply the inside by -0.5
Answer:
[tex]-3\left(x-2\right)[/tex]
Step-by-step explanation:
[tex]\frac{-1}{2}\left(6x-12\right)=\frac{\left(-1\right)\left(6x-12\right)}{2}==-\frac{\left(6x-12\right)}{2}=-3\left(x-2\right)[/tex]
Does anyone know this ??
Answer:
C
Step-by-step explanation:
because I took the test
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)
can anyone help me ?
Answer:
Table 3.
Step-by-step explanation:
A large soup pot holds 10 gallons of soup. Jared has quarts of chicken broth. How many quarts of chicken broth will he need to fill the soup pot
Answer:
40 quarts
Step-by-step explanation:
1 gallon=4
4•10=40
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:
Write an equation of the ellipse with foci at (+3,0) and co-vertices at (0, +-1).
add 10 to z, then double the result
Do not simplify any part of the expression.
2(z+10)
2z+20
Answer:
2z+20
Multiply: (x + 3)(x – 4)
What is the middle term in the simplified product?
a) x
b) –x
c) 3x
d) -4x
Answer:
answers b is is correct ......
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.
In testing to see whether opinion with respect to the use of instant replay is independent of the category of the person interviewed, a chi-square test statistic of 27.99 and a p-value less than 0.001 were calculated. Which of the following statements is correct?
a. The number of degrees of freedom for the test is 8 - 1 = 7.
b. The chi-square test should not have been used because two of the counts in the table are less than 5.
c. The null hypothesis states that there is an association between category and opinion about the use of instant replay, and the small p-value suggests that the null hypothesis should be rejected.
d. The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.
e. The chi-square test shows that fans favor the use of instant replay.
Answer: (D) The small p-value suggests that there is evidence of an association between category and opinion about the use of instant replay.
Step-by-step explanation:
From the P-value supplied, it shows that the researcher was 99% confident of the experiment and have 1% chance of error.
Given that the p-value less than 0.001 were calculated, it translates that there is a statistical dependency between the category of the people interviewed and opinion about the use of instant replay.
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
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
Select the correct answer.
A home-based sign company uses this function to model its monthly profit, where x is the price of each sign it sells.
p(x) = -10x^2 + 498x - 1,500
what is the company's profit if it sells each sign for $20?
A. $18,020
B. $4,460
C. $14,420
D. $1,402
The profit made id each sign is sold for $20 is $4460
The profit model, P(x) = -10x² + 498x - 1,500
Where, x = price per sign sold
If the price per sign sold is $20. Hence, x = $20
The profit made can be calculated thus :
Put x = 20 in the profit function :
P(20) = -10(20)² + 498(20) - 1,500
P(20) = - 10(400) + 9960 - 1500
P(20) = - 4000 + 9960 - 1500
P(20) = $4,460
The profit made is $4,460
Learn more : https://brainly.com/question/18109354
Answer:
$4,460
Step-by-step explanation:
I got a 100% on my test
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!
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
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]
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
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
A large hotel has 347 rooms. There are 7 floors, and each
floor has about the same number of rooms. About how many
rooms are on a floor?
Answer:
About 50 rooms on each floor because
Step-by-step explanation:
347÷7÷49
I rounded it up because the numbers kept going xD
How long does it take to double $1000 at an annual interest rate of 6.35% compounded monthly?
Answer:
63.5
Step-by-step explanation:
1000× 6.35 / 100 = 63.5
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
QUICK If r+t = r and r−t = −s which of the following must be equal to t?
(A) −s
(B) −r
(C) 0
(D) r
(E) s
Answer:
C) 0
brainliest plz
The value of t on solving the equations r + t = r and r − t = − s is 0 and s + r so, option C is correct.
What is the equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given:
r + t = r and r − t = − s
Calculate the value of t as shown below,
t = r - r (Transform the equation as shown)
t = 0
-t = -s - r
t = s + r
Thus, the value of t can be 0 and s + r.
To know more about equation:
https://brainly.com/question/12788590
#SPJ2
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
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! :)
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 product?
Answer:
I believe that it is the 2nd option x(x-1)/2 but I could be wrong sorry if I am