Using conditional probability, it is found that the probability that a randomly selected team from Springville goes to the city and state playoffs is given by:
C 0.07
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.In this problem, the events are:
Event A: City playoffs.Event B: State playoffs.The given probabilities are P(A) = 0.2, P(B|A) = 0.35, hence the probability that a randomly selected team from Springville goes to the city and state playoffs is given by:
[tex]P(A \cap B) = P(A)P(B|A) = 0.2(0.35) = 0.07[/tex]
Hence option C is correct.
More can be learned about conditional probability at https://brainly.com/question/14398287
Answer:0.09
Step-by-step explanation:
please help will mark BRAINLIEST
Answer:
A.)
-2, -1, 0, 1, 2, 3, 4, 5, 6
Step-by-step explanation:
mark me brainliest!!
Floria wants to buy a dress that costs $96. She has saved $60 for the dress. What percent of the price of the dress has she saved?
Answer:
she saved 37.5%
Step-by-step explanation:
96-60=36
96*x=36
divide both sides by 96
x=0.375
When solving a quadratic equation, what is the difference between a root and a solution?
A. The solution is expressed as x=a where a is a number. The root is expressed as an ordered pair.
B. For a quadratic equation, the root is the same as the solution.
C.The root is expressed as x=a where a is a number. The solution is expressed as an ordered pair.
D. The root is where the graph of the quadratic equation crosses the x -axis. The solution of the quadratic equation is where the graph crosses the y-axis.
Answer:
B: For quadratic equations, the root is the same as the solution.
Step-by-step explanation:
In quadratic equations of the form ax² + bx + c = 0, the roots are usually gotten from the formula ;
x = [-b ± √(b² - 4ac)]/(2a)
Now, the roots gotten are also termed as solutions because every value of x which is a root gives a solution of 0 when plugged into the quadratic equation.
Basically, in quadratic equations, the roots are solutions to the equation.
Answer:
C
Step-by-step explanation:
16
Select the correct answer.
A rotating sprinkler head sprays water as far as 20 feet. The head is set to cover a central angle of 80 degrees. What area of grass will be watered?
A. 200/9 pi ft^2
B. 800/9 pi ft^2
C. 80/9 pi ft^2
D. 760/9 pi ft^2
Using the area of a circle, it is found that the area of the grass that will be watered is given by:
B. 800/9 pi ft^2
What is the area of a circle?The area of a circle of radius r is given by:
[tex]A = \pi r^2[/tex].
In this problem, a rotating sprinkler head sprays water as far as 20 feet, hence the radius is of r = 20 ft.
It covers a central angle of 80º, while an entire circle has 360º, hence the area of grass that will be watered corresponds to 80/360 = 2/9 of the area of the circle.
Hence the watered area in ft² is given by:
[tex]A = \frac{2}{9}\pi (20)^2 = \frac{800\pi}{9}[/tex]
Which means that option B is correct.
More can be learned about the area of a circle at https://brainly.com/question/17326298
Answer:
B. 800/9 pi ft^2
Step-by-step explanation:
Catherine has to run a few errands. She started her errands at 11:35 am. She first went to the bank for 20 minutes. Then she shopped at the grocery store for 1 hour and 15 minutes. Last she went to the gas station for 15 minutes. When was Catherine finished with her errands
Answer:
1:25 pm
Step-by-step explanation:
20 minutes after 11:35 am would be 11:55 am, 1 hour and 15 minutes after 11:55 am would be 1:10 pm, and 15 minutes after 1:10 pm would be 1:25 pm.
HELLLPPPP
Find the amount of simple interest earned for depositing the given principle in an account. if $3100
is invested at 5.5 % for 3 months
Answer:
$ 42.625 is the correct answer .Step-by-step explanation:
principal ( p ) = $3100
Rate ( R ) = 5.5 %
Time ( T ) = 3 months
( convert months into year)
= 3/12 year
Simple Interest ( I ) = ??
By using formula ,
simple Interest ( I) = PTR / 100
=$3100 × 5.5 % × 3/12 ÷ 100
= 3100 × 5.5 × 3 ÷ 100 × 12
= 51150 ÷ 1200
= 42.625
= $ 42.625
Thank you ☺️☺️☺️
Carlos has 2 pieces of buttered toast. He cuts the toast and shares it equally between his 3 friends. What fraction of a piece of toast does each friend receive?
Answer: The 1st friend would get 1/2 of toast, 2nd friend would get 1/2 of toast, & the third friend would get 1/1=(1) of toast
Hope this helps! c:
Question
Sami's savings account earns 4% simple interest. If Sami starts with $500 in her account, how much money will she have in
her account after four years?
Answer:
$584.92928
Step-by-step explanation:
If Sami starts with $500 and earns 4% and she doesnt take away any money, the equation would be:
y=500(1.04)^x
y being dollars and x in years
if we replace x with 4, the answers come out to be 584.92928
Answer:
Step-by-step explanation:
First, we express the annual interest rate r, in decimal form. Since it is 4%, the interest rate is
r=4%=4100=0.04.
The principal P=500, so the future value is
A=P(1+rt)=500(1+(0.04)(4))=$580.
Find AC. Please help fast
Answer:
Step-by-step explanation:
AB/ED = AC/DF
15/18 = AC/20
5/6 = AC/20
Cross multipy
6AC = 5*20 = 100
so
AC = 100/6 = 16.7
what is the sign of 46.2 + 112.3.
is it a positive or negative?
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{2 positives (+) equals positive}\\\large\textsf{2 negatives (-) equals negative}\\\large\textsf{1 negative (-) \& 1 positive (+) equals negative}\\\large\textsf{1 positive (+) \& 1 negative (-) equals negative}[/tex]
[tex]\large\text{According, to your equation you have 2 POSITIVES and even your}\\\large\text{symbol is a positive, so this means your result will turn out to be a positive}[/tex]
[tex]\large\textsf{46.2 + 112.3}\\\rightarrow\large\large\textsf{46.20 + 112.30}\\\rightarrow\large\textsf{158.50}\\\\\large\text{Thus, your equation answer is: \boxed{\mathsf{158.50}}}\\\\\\\\\huge\textbf{Your overall is: \boxed{\mathsf{Positive}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
prove that (Cosx-Cos³x)/Sinx=SinxCosx
Answer:
(Cosx-Cos³x)/Sinx=SinxCosx
Step-by-step explanation:
sin3x−cos3x
=sinxsin2x−cosxcos2x
=sinx(1−cos2x)−cosx(1−sin2x)
=sinx−sinxcos2x−cosx+cosxsin2x
=sinx−cosx+(sinx−cosx)sinxcosx
=(sinx−cosx)(1+sinxcosx
please help??? i’m not sure the answers or how to do this. greatly appreciated
1)
I think you should start off by solving the function equal to the given growth.
[tex]f(m) = 5.98[/tex]
[tex]3(1.09) {}^{m} = 5.98[/tex]
[tex]1.09 {}^{m} = \frac{5.98}{3} [/tex]
[tex]1.09 {}^{m} = 1.9933[/tex]
[tex]m \times ln(1.09) = ln(1.9933) [/tex]
[tex]m = \frac{ ln(1.9933) }{ ln(1.09) } = 8 [/tex]
It is sufficient to plot the exponential growth over the domain m [0,8]
2)
The y-intercept in this case represents the growth achieved at the beginning when m=0.
Before the experiment started::
3)
I'm not really sure about this one,but i think it's supposed to be solved according to this eq,,
[tex]c = \frac{f(8) - f(2)}{8 - 2} [/tex]
Note that c is the average rate of change.
Find f(2) first by substituting 2 in f(m)
f(2)=3(1.09)²=3.5643
[tex]c = \frac{5.98 - 3.5643}{ 8 - 2} [/tex]
[tex]c = \frac{2.4157}{6} = 0.4026[/tex]
average growth=0.4026 cm/month
please answer this question
Airlines have increasingly outsourced the maintenance of their planes to other companies. A concern voiced by critics is that the maintenance may be less carefully done so that outsourcing creates a safety hazard. In addition, flight delays are often due to maintenance problems, so one might look at government data on percent of major maintenance outsourced and percent of flight delays blamed on the airline to determine if these concerns are justified. This was done, and data from 2005 and 2006 appeared to justify the concerns of the critics. Do more recent data still support the concerns of the critics? Here are data from 2014:
Alaska 51.051.0 10.3510.35 Jet Blue 68.468.4 19.9319.93
American 29.429.4 20.3220.32 Southwest 58.258.2 28.4728.47
Delta 36.736.7 14.4814.48 United 52.652.6 23.4623.46
Frontier 46.346.3 21.4221.42 US Airways 54.354.3 13.6813.68
Hawaiian 78.478.4 5.065.06
Required:
a. Make a scatterplot with outsourcing percent as xx and delay percent as y.
b. Find the correlation r with and without Hawaiian Airlines.
Answer:
Please check attachment for graph
Step-by-step explanation:
B. With hawaii airline = -0.300
Without hawaii airline = 0.197
With hawaii airline
EX = 475.3
EY = 157.17
XY = 8042.11
X² = 26883.55
Y² = 3159.375
The correlation coefficient
= 72378.99-74702.9/7737.421
= -2323.91/7737.421
= -0.300
Without hawaii airline
EX = 396.9
EY = 152.11
EXY = 7645.406
X² = 20736.99
Y² = 3133.772
= 790.789/4021.161
= 0.197
2 1/8 x 2 3/5 simplified
Answer:
5 21/40
Step-by-step explanation:
easy maths
point b is between A and C. if AB =2x, BC =3x+1, and AC=21, find the length of BC
Step-by-step explanation:
We are here given that a point B is between A and C . Also ,
Value of AB = 2x Value of BC = 3x + 1 Value of AC = 21 .And we would like to calculate the length of BC . For figure refer to the attachment. From figure we can see that ,
[tex]\rm:\implies AC = AB + BC [/tex]
Substitute the respective values,
[tex]\rm:\implies 21 = 2x + 3x + 1[/tex]
Add like terms ,
[tex]\rm:\implies 21 = 5x +1 [/tex]
Subtract 1 on both sides,
[tex]\rm:\implies 21-1 = 5x [/tex]
Simplify,
[tex]\rm:\implies 20=5x [/tex]
Divide both sides by 5,
[tex]\rm:\implies \blue{ x = 4}[/tex]
Now consider ,
[tex]\rm:\implies BC = 3x+1 [/tex]
Plug in the value of x found above ,
[tex]\rm:\implies BC= 3(4)+1[/tex]
Simplify,
[tex]\rm:\implies BC = 12+1[/tex]
Add,
[tex]\rm:\implies \underline{\boxed{\blue{\rm{ \quad BC \quad =\quad 13\quad }}}}[/tex]
And we are done !
Answer:
+ BC = AC
x + 2x+1 = 22
3x +1 = 22
3x = 21
x = 7
AB = 7
BC = 2*7+1 = 14 + 1 = 15
15 - 2
13
Which of the following are true statements? Check all that apply.
Answer:
A and C are correct
Step-by-step explanation:
We have to select the true statements from the given four statements in options.
I think the statements A and C are true from the mathematical point of view.
If the original function is and then by reflecting it about the x-axis the equation will become , and then shrinking it vertically by a factor of the function will finally become .
Hence, statement A is true.
Again, the original function has domain x ≥ 0 and range y ≥ 0, but in the transformed equation has domain same as original equation i.e. x ≥ 0 but the range is different i.e. y ≤ 0.
Hence, statement C is also true. (Answer)
the ratio of prizes to contestants if there are 3 prizes for every 10 contestants
Answer: (3,10)??? this question isn't specific sorry
Step-by-step explanation:
Solve for N
8/10 = 4/N
N=
Answer:
N= 5
Step-by-step explanation:
Solve for N by cross multiplying
Flora's Flower Shop is gearing up for Valentine's Day, which is typically their busiest time of the year. Flora was able to secure 9,000 red roses for the holiday this year. Flora sells red roses for $8 per stem, and bouquets of 12 red roses for $75. The cost per stem for Flora is $3. Typically half of all flowers are sold as individual stems and half as bouquets, however on Valentine's Day the majority of flowers are sold as part of bouquets. Last year Flora made $35,000 over the Valentine's Day holiday, and hopes to make the same profit this year. What is the maximum proportion of flower sales that can come from bouquets in order for Flora to earn a profit of $35,000. 42% O 50% 63% 81%
The maximum proportion of flower sales that can come from bouquets in order for Flora to earn a profit of $35,000 is A. 42%.
What is proportion?The proportion shows the ratios of two or more variables.
While the maximum proportion show the highest ratio or percentage of a variable required to equate an expression.
Data and Calculations:Number of red roses procured for sale = 9,000
Selling price per stem = $8
Selling price per bouquet (12 stems) = $75
Cost per stem = $3
Last year's Valentine Day profit = $35,000
Stem Boutique
Selling price $8 $75
Cost per stem 3 36 ($3 x 12)
Contribution margin per unit $5 $39 ($75 - $36)
Contribution margin per stem $5 $3.25 ($39/12)
Weighted contribution margin $22,500 $14,625 ($3.25 x 4,500)
Proportion 42% ($14,625/$35,000 x 100)
Thus, the maximum proportion of flower sales that can come from bouquets in order for Flora to earn a profit of $35,000 is A. 42%.
Learn more about proportions and ratios at https://brainly.com/question/12024093
Simplify the rational expression. x^2 - 3x - 54 | x^2 -10x + 9
Answer:
[tex]\frac{x+6}{x-1}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2-3x-54}{x^2-10x+9}[/tex] ← factorise both numerator and denominator
= [tex]\frac{(x-9)(x+6)}{(x-9)(x-1)}[/tex] ← cancel (x - 9) on numerator/ denominator
= [tex]\frac{x+6}{x-1}[/tex] ← x ≠ 1
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{ {x}^{2} - 3x - 54 }{ {x}^{2} - 10x + 9 } = \frac{(x - 9)(x + 6)}{(x - 9)(x - 1)} = \frac{x + 6}{x - 1} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Find the value of x and y. If necessary, round your answer to the nearest tenth. *
Answer:
Step-by-step explanation:
"y" is geometric mean ⇒ y² = 5 × 12
y = √60 ≈ 7.7
x² = 5² + ( √60 )²
x = √85 ≈ 9.2
In the number 5,366, the 6 in the tens place is what value of the 6 in the one place
Answer:
Check the pic
Step-by-step explanation:
make a number line and mark all the points that represent the following value of x, x<2 or x>-1 Please answer quickly
Answer: See attached image
Step-by-step explanation:
[tex]\mathrm{The \ union \ of \ two \ intervals \ is \ the \ set \ of \ numbers \ which \ are \ in \ either \ interval:}[/tex]
[tex]x < 2\quad \mathrm{or}\quad \:x > -1[/tex]
See attached merged number line below:
The first number line is of x < 2
The second number line is of interval x > -1
The third number line is the merge of the overlapping intervals
Answer:
its just what the question says
Step-by-step explanation:
Find the values of x and y that make the quadrilateral a parallelogram.
Answer:
Parallelogram means opposite sides equal and parallel to each other
So
x=16y=9Done!
How do I solve this? , (Find measurement of angles)
Answer:
105°
Step-by-step explanation:
FEG+EFG=FGN (Exterior angle of a triangle= 2 interior opposite angles)
FEG+35°=140°
FEG=140-35
FEG= 105
Is this right I just need confirmation pls
Answer:
No
Step-by-step explanation:
The slope is -4/3, so it should start at y=8, then go down 4 and over (to the right) 3 units. So the next point would be (4, 3).
I need help with showing my work on converting 3 7/8
Use the diagram of ABCD to find x.
Answer:
x = 5
Step-by-step explanation:
AB = CD, so x + 2 = 2x - 3
2 + 3 = 2x - x
x = 5
One of the legs of a right triangle measures 4 cm and the other leg measures 4 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
5.7 cm
Step-by-step explanation:
4^2 + 4^2 = c^2
16 + 16 = c^2
c^2 = 32
√c^2 = √32
c ≈ 5.6568
c = 5.7