Answer:
c. $6,210Step-by-step explanation:
Total sales = x
x*1/9 = 690x = 690*9x = 6210Correct choice is C
A basketball team is to play two games in a tournament. The probability of winning the first game is .10.1 the first game is won, the probability of winning the second game is 15. If the first game is lost, the probability of winning the second game is 25. What is the probability the first game was won if the second game is lost? Express the answer with FOUR decimal points.
Answer:
[tex]P(\frac{A}{B'})[/tex]=0.111
Step-by-step explanation:
Given:
The probability of winning the first game is 10.1
The first game is won
The probability of winning the second game is 15
If the first is lost, the probability of winning the second game is 25
Solution:
[tex]P(B)=P(A)P(\frac{B}{A})+P(A')P(\frac{B}{A'})\\ =0.1(0.15)+(0.3)*0.25)\\P(B)=0.24 ------(1)\\P(\frac{A}{B})=\frac{P(\frac{B}{A})P(A) }{P(B)}\\ =\frac{0.15(0.1)}{0.24}\\ =0.0625 ------(2)\\P(B')=1-P(B)=0.76 ------(3)\\P(A)=P(B)P(\frac{A}{B})+P(B')P(\frac{A}{B'})\\0.1=0.24(0.0625)+0.76(p(\frac{A}{B'} ))\\P(\frac{A}{B'})=0.111[/tex]
Answer:
[tex]P(W_1/W_2')=0.1110[/tex]
Step-by-step explanation:
Probability of winning the first game be considering the given factors be, [tex]W_1=0.1[/tex]
Probability of winning the second game be considering the given factors be, [tex]W_2[/tex]= probability of winning the second game when the first game is won + probability of winning the second game when the first game is lost:
[tex]P(W_2)=P(W_1).P(W_2/W_1)+P(W_1').P(W_2/W_1')[/tex]
[tex]P(W_2)=0.1\times 0.15+0.9\times 0.25[/tex]
[tex]P(W_2)=0.24[/tex]
Hence the probability of losing the second game:
[tex]P(W_2')=1-P(W_2)[/tex]
[tex]P(W_2')=0.76[/tex]
Probability of winning the first game when the second game is won:
[tex]P(W_1/W_2)=\frac{P(W_2/W_1).P(W_1)}{P(W_2)}[/tex]
[tex]P(W_1/W_2)=\frac{0.15\times 0.1}{0.24}[/tex]
[tex]P(W_1/W_2)=0.0625[/tex]
Probability of winning the first game be considering the given factors, [tex]W_1[/tex]= probability of winning the first game when the second game is won + probability of winning the first game when the second game is lost:
[tex]P(W_1)=P(W_2).P(W_1/W_2)+P(W_2').P(W_1/W_2')[/tex]
[tex]0.1=0.24\times0.0625+0.76\times P(W_1/W_2')[/tex]
[tex]P(W_1/W_2')=0.1110[/tex]
You deposit $2000 in an account earning 4% interest compounded monthly. How much will you have in the account in 10 years? $ Enter an integer or decimal number (more..]
Answer:
$2,981.67
Step-by-step explanation:
The Cougar Swim Club acquired some Speedo Fastskin bodysuits and decided to test them out. A number of the club's fastest swimmers performed a 50m freestyle swim in a regular spandex bodysuit and in a Speedo Fastskin suit. The table below summarizes their times in seconds.Swimmer Spandex Speedo Fastskin1 31.1 29.12 28.9 30.43 31.4 32.04 34.9 31.75 27.7 28.26 36.7 32.97 33.3 28.68 30.8 26.2Perform a t-test for dependent means to determine if there is a difference between the regular spandex suit and the Fastskin bodysuit in terms of performance.t = _____df = _____Critical value of t = _____ (use alpha = 0.05)Would you reject the null hypothesis?
Answer:
T = 2.215
df = 7
Critical value = 2.364
Fail to reject the null
Step-by-step explanation:
Swimmer __Spandex __Speedo Fastskin__ d
1 __________31.1 _______29.1 __ 2
2_________ 28.9 ______30.4 __ -1.5
3_________ 31.4 ______ 32.0 __ - 0.6
4_________ 34.9 ______31.7 __ 3.2
5 _________27.7 ______28.2 __ - 0.5
6_________ 36.7 _____ 32.9 ___ 3.8
7 _________ 33.3 _____28.6 ___ 4.7
8_________ 30.8 _____26.2 ___ 4.6
The mean difference = Σd / n
2, - 1.5, - 0.6, 3.2, - 0.5, 3.8, 4.7, 4.6
μd = Σd / n = 15.7 / 8 = 1.9625
Sd = standard deviation of difference = 2.5065 (using calculator)
H0 : μd = 0
H1 : μd ≠ 0
The test statistic:
T = μd / (Sd/√n)
T = 1.9625 / (2.5065/√8)
T = 2.2145574
The degree of freedom, df = n - 1 = 8 - 1 = 7
Using a Pvalue calculator :
α = 0.05
Critical value, Tcritical = 2.364 (T distribution table)
Since Test statistic < Critical value
we fail to reject H0 ;
I litterally don't understand how to do this-
Answer:
Consider points (-1, 0) and (0, 1) :
[tex]{ \tt{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ { \tt{slope = \frac{1 - 0}{0 - ( - 1)} }} \\ { \boxed{ \bf{slope = 1}}}[/tex]
Answer:
slope 1
Step-by-step explanation:
above ANS is correct mark it as branliest ANS
Find the missing length (picture below)
Answer:
Step-by-step explanation:
because these are similar triangles, that is, one is a bigger of smaller version of the other, then we know, that the bigger triangle is just 2 times bigger than the smaller, or 2x of any side of the small one
sooo 2(20) =40
so we know that side n of the bigger triangle is 40
HELPPPP ME ASAP
If f(x) = x2, g(x) = 5x, and h(x) = x +4, find each value.
Find g[h(-2)]
9514 1404 393
Answer:
10
Step-by-step explanation:
Put the values where the arguments are and do the arithmetic.
g(h(-2)) = g(-2+4) = g(2) = 5(2)
g(h(-2)) = 10
Find the value of x (please)
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Answer:
(a) 21
Step-by-step explanation:
The product of the lengths to the near and far circle intercepts are the same for the two lines. For the tangent, the near and far intercepts are the same point, so we have ...
(36)(36) = (27)(27+x)
48 = 27+x . . . . . . . . . . divide by 27
x = 21 . . . . . . . . subtract 27
Maya has already run 1 mile on her own, and she expects to run 1 mile during each track practice. How many miles would Maya have run after 48 track practices?
Answer:
Step-by-step explanation:
48+1=49
Help and explain too (using elimination to solve systems of equations ) !!!!!
Answer:
x=3 y=5
Step-by-step explanation:
it's simultaneous equations so you first try matching the x or the y on both equations
on the first equation the ys are matching so:
4x+y=17
2x+y=11
2x=6
x=3
now that you have x you substitute it back into the equation to get y
6+y=11
-6 -6
y=5
Answer:
(3,5)
(3,2)
(7,0)
(8,1)
Step-by-step explanation:
1.)
Subtract the two equations
(4x+y)-(2x+y)=17-11
2x=6
x=3
plug this into the first equation
4(3)+y=17
y=5
2.) we need one set of the same variable's coefficents to match (so that when we add/subtract the two equations a variable cancels out). To do this multiply the first equation by 1.5
1.5(3x+2y)=13*1.5
4.5x+3y=19.5
Subtract the second equation
(4.5x+3y)-(2x+3y)=19.5-12
2.5x=7.5
x=3
plug this into the first equation
3(3)+2y=13
2y=4
y=2
3.)
Mulitply the first equation by 3
3(x-2y)=7*3
3x-6y=21
subtract this and the second equation
(3x-6y)-(3x+y)=21-21
-7y=0
y=0
plug this into the first equation
x-2(0)=7
x=7
3.)
add the two equations
(x+5y)+(x-5y)=13+3
2x=16
x=8
plug this into the first equation
8+5y=13
5y=5
y=1
math help plz
how to divide polynomials, how to understand and step by step with an example provided please
Answer:
hiiiiiii....!!! how r u
if y = k where k is a constant and y =24 when x =6 what is the value of y when x= 5
Answer:
20
Step-by-step explanation:
y=kx
24=6k
k=4
y=4*5=20
Which description of the graph of the linear inequality y > 3x – 8 is correct?
Options :
A.The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded below the line
B.The graph will be a solid line with a y-intercept of three and a slope of negative eight. The graph will be shaded above the line.
C. The graph will be a solid line with a y-intercept of three and a slope of negative eight. The graph will be shaded below the line.
D.The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded above the line
Answer:
D.The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded above the line
Step-by-step explanation:
The equation y > 3x – 8
Interpreting as a linear relation :
y > ax + b
Where, a = slope ; b = intercept
a = 3 ; that is a slope value of 3
b = -8 ; that is an intercept value of - 8
Since the inequality is >, a dashed line is used (dashed like is used for > and <) ; since we a have a greater than sign, the graph will be shaded above the dashed line.
Answer: The answer is D on edu 2021
Step-by-step explanation:
D.The graph will be a dashed line with a y-intercept of negative eight and a slope of three. The graph will be shaded above the line
(-3,-7) is it a solution
Answer:
It could be a solution
Step-by-step explanation:
This depends on what equation you are solving. It could be a solution for a quadratic or even a transformation problem.
Find m angle QSRIf m angle TSQ=15x , m angle TSR=173^ , and m angle QSR=10x-2
[tex]{\color{red}{\huge{\underbrace{\overbrace{\mathfrak{\:\:\:\:\:\:\:꧁"Answer"꧂\:\:\: }}}}}}[/tex]
[tex]\small\color{blak}{{\underline{\bold{ Find \:a X } } } }[/tex]
[tex]\small\color{black}{{\underline{\bold{173°=15z+10x-2 } } } } \\ = 173 = 25x - 2 \\ = - 25x = - 2 - 173 \\ = - 25x - 175 \\ = \small\color{blue}{{{\boxed{\tt\red{} \:\:\:\:\:\:\:\:\:\: x=7\:\:\:\: }}}}[/tex]
[tex]\small\color{blak}{{\underline{\bold{ Find\:a\:m<QSR } } } }[/tex]
[tex]\small\color{blak}{{\underline{\bold{ 10(7)-2 } } } }\\=70-2\\=\small\color{red}{{{\boxed{\tt\red{} \:\:\:\:\:\:\:\:\:\: m<QSR=68°\:\:\:\: }}}}[/tex]
[tex]\Large\color{red}{{\underline{\mathfrak {{꧁"Carry\:on\: learning"꧂ }}}}}[/tex]
The measure of angle QSR is 68 degrees.
What is substitution?Substitution means putting numbers in place of letters to calculate the value of an expression.
According to the given question.
m ∠TSQ = 15x
m ∠TSR = 173 degrees
m ∠QSR = 10x -2
Since,
m ∠TSR = m ∠TSQ + ∠QSR
Substitute the value of m ∠TSR, m ∠TSQ and m ∠QSR in the above expression.
⇒ [tex]173 = 15x + 10x - 2[/tex]
⇒ [tex]173 = 25x - 2[/tex]
⇒ [tex]175 = 25x[/tex]
⇒ [tex]x = \frac{175}{25}[/tex]
⇒ [tex]x = 7[/tex]
Again, for finding the value of angle QSR substitute the value of x in 10x - 2.
Therefore,
m ∠QSR = 10(7) - 2
⇒ m ∠QSR = 70 - 2
⇒ m ∠QSR = 68 degrees
Hence, the measure of angle QSR is 68 degrees.
Fid out more information about substitution here:
brainly.com/question/27810586
#SPJ3
Reflections were shown across the x- and y-axes but reflections can occur across any line. The figure above shows quadrilateral EFGH reflected about the line y=x. Which best describes what happens to the ordered pair for this reflection?
1. (x,y) → (y,x)
2. (x,y) → (-x,-y)
3. (x,y) → (-y,-x)
4. There is no relationship between the points.
Answer:
1. (x,y) → (y,x)
Step-by-step explanation:
Coordinate of point E:
Before the transformation, the coordinate of point E was given by (3,-6).
After the transformation, we have E'(-6,3), which eliminates options 2 and 3.
For the other points, we will also get, (x,y) -> (y,x), which is the rule given when the original figure is reflected over the line y = x, and thus, the correct answer is given by option 1.
The following data was obtained from 32 people aged 25-29 who were asked how many hours of TV they watched per week.
4,2,8,9,4,5,10,11,7,8,3,4,10,3,8,5,1,7,0,4,3,2,2,1,1,0,2,3,5,2,1,1.
Group the data in intervals and record the frequency of each interval as well as the cumulative frequency and relative frequency. Make a table showing this information.
Graph the data using frequency histogram.
Graph the data using a cumulative frequency chart.
20 marbles, 4 red, 6 blue,2 green, 8 yellow, one marble taken out , replaced, one taken out. Probability that he will pull red marble first, then green marble
Step-by-step explanation:
red=4/19
green2/1
i didnt get the qn prperly..was a marbke taken out second time？ and not replaced？
which statements are true for the functions g(x)=x^2 and h(x)=-x^2? Check all that apply
Answer:
if x=0 then they have same value
1 and 2 options are out
for x=-1
g(-1)=1
h(-1)=-1
3 is true
4th
FALSE
for all values except 0, g(x)>h(x)
correct ones are
g(x) > h(x) for x = -1.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
Step-by-step explanation:
Please help!! How do I solve for x?
The line in the middle is half the length of the line on the outside. Multiply the middle line by 2 and set it equal to the outside line.
2(x-3) = x + 6
Simplify:
2x -6 p x + 6
Add 6 to both sides
2x = x + 12
Subtract x from both sides:
X = 12
The answer is B) 12
HELP ASAP PLS Select the correct answer.
A light bulb's brightness is reduced when placed behind a screen. The amount of visible light produced by the light bulb decreases by 25% with
each additional layer that is added to the screen. With no screen, the light bulb produces 750 lumens. The lumen is a unit for measuring the total
quantity of visible light emitted by a source,
Select the correct equation that can be used to represent the lumens, L, after x screen layers are added.
Answer:
D. 750(0.75)ˣ
Step-by-step explanation:
Let the new brightness be L'. Since our initial brightness L₀ reduces by 25 %, we have that L' = L₀ - 25% of L₀
L' = L₀ - 0.25L₀
L' = 0.75L₀
Adding the second screen, the new intensity is L" = L' - 25 % of L'
L" = L' - 0.25 L'
L" = 0.75L'.
Since L' = 0.75L₀,
L" = 0.75L' = 0.75(0.75L₀) = 0.75²L₀
Adding the third screen, the new intensity is L"' = L'' - 25 % of L''
L'" = L" - 0.25 L"
L"' = 0.75L".
Since L" = 0.75L' = 0.75²L₀
L"' = 0.75L" = 0.75(0.75²L₀) = 0.75³L₀
So, we see a pattern here.
The intensity after x screens is L = (0.75)ˣL₀
Since L₀ = 750 lumens,
L = 750(0.75)ˣ
Casey and Malik can paint a room in 6 hours if they work together. If Malik were to work by himself, it would take him 4 hours longer than it would take Casey working by himself. How long would it take Casey to paint the room by himself if Malik calls in sick? Round to 2 decimal places.
Answer:
It would take 10 hours for Casey to paint the room by himself.
Step-by-step explanation:
Given that Casey and Malik can paint a room in 6 hours if they work together, and if Malik were to work by himself, it would take him 4 hours longer than it would take Casey working by himself, to determine how long would it take Casey to paint the room by himself if Malik calls in sick the following calculation must be performed:
6 x 2 = 12
12 x 2 = 24
(24 - 4) / 2 = 10
Therefore, it would take 10 hours for Casey to paint the room by himself.
Is x-3 a factor of x- 9x² - 14x + 24?
9514 1404 393
Answer:
no
Step-by-step explanation:
We assume you are concerned with the cubic
x³ -9x² -14x +24
Its factors are all irrational, as shown in the attached graph. x-3 is not a factor.
__
x-3 is a factor if the expression evaluates to zero when x=3. Here, it does not.
((x -9)x -14)x +24 for x=3 is ...
((3 -9)(3) -14)(3) +24 = (-18 -14)(3) +24 = -96 +24 = -72
The remainder from division by x-3 is not zero, so x-3 is not a factor.
Dale hikes up a mountain trail at 2 mph. Because Dale hikes at 4 mph downhill, the trip down the mountain takes 30 minutes less time than the trip up, even though the downward trail is 3 miles longer. How many mile did Dale hike in all?
Answer:
13 miles
Step-by-step explanation:
He hikes 4 mph downhill and it takes 30 minutes or 0.5 hours lesser than the trip uphill at 2 mph.
Thus, if the distance upward is x and we are told the distance downhill is 3 miles longer.
Then, since time = distance/speed, we have;
((x + 3)/4) + 0.5 = x/2
Multiply through by 4 to get;
x + 3 + (0.5 × 4) = 2x
x + 5 = 2x
2x - x = 5
x = 5 miles
Now, it means distance uphill = 5 miles and distance downhill = 5 + 3 = 8 miles
Thus, total distance covered = 8 + 5 = 13 miles
prove the identity sin3x=3sinx-4sin³x
Hi
we know that sin(A+B)=Sin(A)Cos(B)-Cos(A) Sin (B)
cos(2x)=1-2sin²(x)
sin(2x)=2sin(x)cos(x)
Exp:- Sin(3x)=Sin(x+2x)
Sin(x)cos(2x)+cos(x)sin(2x)
sin(x){1-2sin²(x)}+2cos²(x)sin(x)
sin(x)-2sin³(x)+2sin(x){1-sin²(x)}
sin(x)-2sin³(x)+2sin(x)-2sin³(x)
3sin(x)-4sin³(x)
Hope it helps....
Cai wants to buy cherries and apples to make a fruit tart. Cherries cost $3.75 per
pound and apples cost $2.25 per pound. How much does he spend if he buys 2
pounds of cherries and 1.5 pounds of apples? How much does he spend if he buys x
pounds of cherries and y pounds of apples?
Applying the translation (x, y) - (x - 3, y + 7) maps the point (-4,7) onto the point
9
O A) (14, -7)
12
B) (7, -14)
15
C) (14, 7)
D) (-7, 14)
Answer: Choice D. (-7, 14)
Work Shown:
[tex](x,y) \to (x-3, y+7)\\\\(-4,7) \to (-4-3, 7+7)\\\\(-4,7) \to (-7, 14)\\\\[/tex]
The point has moved 3 units to the left and 7 units up. See the diagram below.
I need help please it’s for math
Answer:
139
Step-by-step explanation:
Since the given is a parallelogram then angle <D and angle <B are equal angles
10x - 21 = 9x - 5
10x - 9x = 21 - 5
x = 16 replace x with 16 to find the measure of angle <B
16*9 - 5 = 139
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 47.0 and 57.0 minutes. Find the probability that a given class period runs between 51.25 and 51.5 minutes.
Answer:
0.025 = 2.5% probability that a given class period runs between 51.25 and 51.5 minutes.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
Uniformly distributed between 47.0 and 57.0 minutes.
This means that [tex]a = 47, b = 57[/tex]
Find the probability that a given class period runs between 51.25 and 51.5 minutes.
[tex]P(c \leq X \leq d) = \frac{51.5 - 51.25}{57 - 47} = 0.025[/tex]
0.025 = 2.5% probability that a given class period runs between 51.25 and 51.5 minutes.
-9(m + 2) + 406 - 7m)
Answer:
-9(m+2)+406-7m)
=-16+388
When the suns rays are at an angle of 39° the distance from the top of Dakotas head to the tip of the shadow is 77 inches, about how tall is Dakota?
Answer:
48.45in
Step-by-step explanation:
To get the height of Dakota, we will use the SOH CAH TOA
Given the following
angle of elevation = 39degrees
distance from the top of Dakotas head to the tip of the shadow = 77in (Hyp)
Required
Height of Dakota (Opp)
Sin 39 = opposite/hyp
Sin39 = H/77
H = 77sin39
H = 77(0.6293)
H = 48.45in
Hence the Dakota is 48.45in