Answer:
The mode = 24
Probability = 0.14
Probability = 0.74
Step-by-step explanation:
Mode is 24 because it has the highest frequency.
The probability of winning a score of 25 = 7/50 = 0.14 = 14%
Probability of winning sore of 23+ = 37/50 = 74% = 0.74
Hope this helps.
Good luck
Answer:
a) mode: 24
b) 14%
c) 74%
Step-by-step explanation:
a) had the most winning games that received that score.
b) 7/50
c) 37/50 10+14+7+4+2=37 total past 23.
37 past 23 divided by total amount 50=0.74 or 74%
f(x) = x2. What is g(x)?
Answer:
B
Step-by-step explanation:
Put x as 1 and the output will be 9.
y = (3x)²
y = (3(1))²
y = 3²
y = 9
True
Complex numbers are used in electronics to describe the current in an electric circuit. Ohm's law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula. Find E, the voltage of a circuit, if I = (16 + i) amperes and R = (2 + 4i) ohms.
Answer:
E = (28 + 66i) Volts
Step-by-step explanation:
Note that: i = √-1 ; i² = -1
Ohm's law: E = IR
E = (16+ i) (2 + 4i)
Expand the equation.
E = 16x2 + 16x4i + ix2 + ix4i
E = 32 + 64i + 2i + 4i²
E = 32 + 64i + 2i + 4(-1)
E = 32 + 64i + 2i - 4
Collect like terms:
E = 32 -4 + 64i + 2i
E = (28 + 66i) Volts
NEED HELP ASAP PLEASE WILL MARK BRANLIEST What would the equation of a hyperbola with directrices at x=±2 and foci at (6,0) (-6,0) be?
Answer:
The equation of the hyperbola can be presented as follows;
[tex]\dfrac{\left x \right ^{2}}{12} - \dfrac{\left y \right ^{2}}{24} = 1[/tex]
Step-by-step explanation:
We have the equation of an hyperbola given as follows;
[tex]\dfrac{\left (x - h \right )^{2}}{a^{2}} - \dfrac{\left (y - k \right )^{2}}{b^{2}} = 1[/tex]
The foal length = a² + b² = c²
c = focal length
The directrix = a²/c
The focal point are (h + c, k) and (h - c, k)
Therefore, by comparison with the given focal points, (6, 0) and (-6, 0), we have;
k = 0 and h + c = 6, h - c = -6
Therefore;
6 - c - c = -6
-2·c = -12
c = 6
h = 0
a²/c = 2
a² = 2 × 6 = 12
a = 2·√3
12 + b² = 6²
b² = 6² - 12 = 24
b² = 24
b = 2·√6
The equation of the hyper bola can then be written as follows;
[tex]\dfrac{\left (x - 0 \right )^{2}}{12} - \dfrac{\left (y - 0 \right )^{2}}{24} = 1[/tex]
Which gives
[tex]\dfrac{\left x \right ^{2}}{12} - \dfrac{\left y \right ^{2}}{24} = 1[/tex]
x² - y² = 12
y² = x² - 12.
A pencil cup is a cylinder made of plastic with one base missing. The cup is 5 inches tall and has a radius of 1.75 inches. Approximately how many square inches of plastic were used to make the cup? 54.98 in.2 74.22 in.2 48.11 in.2 64.60 in.2
Answer:
74.22
Step-by-step explanation:
a pencil cup is like a cylinder
A=2πrh+2πr2=2·π·1.75·5+2·π·1.752≈74.22013
hope this helps
correct me if this is wrong
What is 14v14 divided by 72 in simplest form?
Answer:
About 2.72
Step-by-step explanation:
From reading the comments, I suppose you meant v actually means x so:
14 × 14 = 196
196 ÷ 72 ≈ 2.72
Hope this helped! :)
Answer:
Hello!
I'm not sure what the " v " means but I think you meant to put x instead of v
____________________
14 x 14 = 196
196 ÷ 72 = [tex]\frac{49}{18}[/tex]
Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.
Hope I got this right.
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 563 randomly selected adults showed that 60% of them would erase all of their personal information online if they could. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.Find the value of the test statistic.
Answer:
a)Claims: P>0.5("MOST" of the adult erase their personal information)
b)Statistics test= 4.746
Step-by-step explanation:
we were given {p}=60% =0.60
where n= 563
since most of adults erase all their personal information online, then (p> 0.5
p=0.5
q=1-p=1-0.5=0.5
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
The value of the statistic test is 4.746 and this can be determined by using the given data.
Given :
A software firm survey of 563 randomly selected adults showed that 60% of them would erase all of their personal information online if they could.
It is given that [tex]\rm \bar{P}[/tex] = 60% = 0.60 and n = 563.
Claim: Most adults would erase all of their personal information online if they could that means (P > 0.5). Therefore:
q = 1 - P = 1 - 0.5 = 0.5
Now, to determine the value of the statistic test, the following formula can be used:
[tex]\rm \dfrac{\bar{P}-P}{\sqrt{\dfrac{Pq}{n}} } = \dfrac{0.6-0.5}{\sqrt{\dfrac{0.5\times0.5}{563}} }=4.746[/tex]
Therefore, the value of the statistic test is 4.746.
For more information, refer to the link given below:
https://brainly.com/question/23091366
NEED HELP ASAP *picture included* what percent of the area underneath this normal curve is shaded?
Answer:
68.26
Step-by-step explanation:
The symbol σ represents standard deviation. 1 standard deviation (in both directions) under a normal distribution= 68.26
Answer:
68%.
Step-by-step explanation:
The 68-95-99.7 rule (also know as the Empirical Rule) states that 68% of the data lies within 1 standard deviation of the mean. 95% of the data lies within 2 standard deviations of the mean. 99.7% of the data lies within 3 standard deviations of the mean.
According to the diagram, the area shaded shows data within 1 standard deviation of the mean (one standard deviation to the left, and one to the right). That means that 68% of the data is within the shaded area.
Hope this helps!
The ratio of boys to girls in a class of
45 pupils is 2:7. How many girls are
there in the dass?
(a) 35
(b) 20
(c) 18
(d) 15
le) 10
Answer:
The answer is option A.
35.Step-by-step explanation:
To find the number of girls in the class we must first find the total parts
That's
2 + 7 = 9
In the ratio 7 correspond to girls so the number of girls in the class are
7/9 × 45
= 7 × 5
= 35
Hope this helps you
help i will make u brainllest
Answer:
4 sqrt(7)
Step-by-step explanation:
We can use the leg rule
hyp leg
------- = -------------------
leg part
9+7 z
------- = -------------------
z 7
Using cross products
(9+7) *7 = z^2
16*7 = z^2
112 = z^2
Taking the square root of each side
sqrt( 16*7) = sqrt(z^2)
4 sqrt(7) = z
ASAP!! Linear Relations Help
Answer:
Below
Step-by-step explanation:
a) To make a perpendicular line with the given linear equation, use the reciprocal of the slope, which is -(1/3) in this case.
So the equation for the first one is y = -(1/3)x
To find what x equals when going through the point (x, 4), plug in 4 for y and solve
y = -(1/3)x
4 = -(1/3)x
4/-(1/3) = -(1/3)x/-(1/3)
-12 = x
So, when y = 4, x = -12
b) Do the same thing for a, use the reciprocal for the slope for the perpendicular line, -4.
This makes the second equation y = -4x
Then plug 4 in for y again, instead using -4 as the slope
y = -4x
4 = -4x
4/-4 = -4x/-4
-1 = x
This shows that when y = 4, x = -1
Choose a number subtract 5 the result is 4
Answer:
3
Step-by-step explanation:
what is the solution to the inequality below x<5
Answer:
The correct answer is B
Answer:
0 < x < 25
Step-by-step explanation:
Bryce has been investing in his employee sponsored retirement account since he was 23 years old. He is now 65 years old and ready to retire. He has invested a total of $30,000, but the total amount of money in his retirement account is currently $160,000. What is Bryces rate of return on his retirement investment?
Answer:
r = 64
Step-by-step explanation:
The number of years for the investment plan = 65-23= 32 years
Initial amount= $30000
Final amount= $160000
To find the rate of return
We will use the compound interest formula.
The number of times it was compounded= number of years because it was not compounded monthly.
A= p(1+r/n)^(nt)
160000= 30000(1+r/32)^(32*32)
160000/30000= (1+r/32)^(32*32)
5.333= (1+r/32)^(1024)
1024√5.333= (1+r/32)
1.001636073 = 1 +r/32
2.01636073= r/32
32(1.01636073)= r
64.05= r
The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 3x + 5 and g(x) = x2.
Find f(x) · g(x).
A. 3x3 + 3x2 + 5
B. 3x3 + 5x2
C. 3x2 + 5
D. x2 – 3x – 5
Answer:
3x3 +5x2
Step-by-step explanation:
f(x).g(x)
(3x+5)(x2)
(3x×x2)(5×x2)
3x3+5x2
HELP ASAP!!! I WILL GIVE THE MOST BRAINIEST TO WHOEVER ANSWERS IT RIGHT PUT THE ANSWER IN A BOX
Answer:
4/3*PI
OR 4.186 (6 REPEATING0
OR 1.3(3 REPEATING )*PI
Step-by-step explanation:
BECAUSE
THE FORMULA IS 4/3*PI*R^3=V
4/3*3.14*1=V
4/3*PI=V
OR 4.186 (6 REPEATING
OR 1.3(3 REPEATING )*PI
HOPE I HELPED
BRAINLIEST PLS
-ZYLYNN JADE
Answer:
4.19 in³
Step-by-step explanation:
The volume of a sphere is given by the formula:
V = [tex]\frac{4}{3}[/tex]*π*r³ r is the radius here it's 1so the volume is:
V = [tex]\frac{4}{3}[/tex]*3.14*1³
V= 4.1866 ≈ 4.19 in³
can some body help me plz
Answer:
Length of each side of the square = 8 cm
Step-by-step explanation:
In the figure attached, diagrams of a right triangle and a square have been given.
"Area of the square is twice the area of the triangle."
Let one side of the square = x cm
Therefore, area of the square = x²
Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(16)(4)[/tex]
= 32 cm²
Therefore, x² = 2 × 32
x² = 64
x = 8 cm
Therefore, length of each side of the square will be 8 cm.
Helppp!!!! please!!!
Answer:
option d is correct answer.
hope it helps..
D. 8.8 cm^3
Step-by-step explanation:
The formula for the volume of a cone is...
[tex]V=\frac{1}{3}\pi r^2h[/tex]
We can plug everything we know into the formula and convert pi to 3.14 since the answer choices aren't in pi.
[tex]V=\frac{1}{3}*( 3.14*1.45*1.45*4 )[/tex]
I prefer to do the 1/3 last, but it is entirely up to you!
Now solve...
[tex]V=\frac{1}{3}*26.4074[/tex]
Divide by 3.
V =
8.8 cm^3
can someone help me answer this please
Answer: 19 degrees
Step-by-step explanation:
<FOE is the central angle of an arc of 52 degrees and is thus 52 degrees. Then by supplementary angles <COD is 71 degrees and angle BOA is thus also 71 degrees. Then by supplementary angles <BOC is 19 degrees and arc BC is thus also 19 degrees.
Hope it helps <3
Answer:
19 degrees
Step-by-step explanation:
Clare says’ this classroom is 11 m long in metres longer than a year so if I measure the length of the classroom I will get less than 11 yards .do u agree with Clare
Answer:
No I don't agree with Clare.
You will get more than 11 yards
Step-by-step explanation:
help pls, Find PG if JG=18.
The length of PG using the centroid property is 6 unit.
The centroid divides each median into segments in a 2:1 ratio.
This means that the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side.
Given:
JG = 18
As, the centroid divides each median into segments in a 2:1 ratio then
PG:PJ = 1:2
So, the length of PG
= 1/3 * (18)
= 18/3
= 6 unit
Thus, the length of PG is 6 unit.
Learn more about Centroid of Triangle here:
https://brainly.com/question/4421837
#SPJ4
Which part of the graph is the distance from home constant? PLEAS HELP ME VERY EASY
what is 9 times negative 3
━━━━━━━☆☆━━━━━━━
▹ Answer
-27
▹ Step-by-Step Explanation
9 × -3 = -3 + -3 + -3 + -3 + -3 + -3 + -3 + -3 + -3 + = -27
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
-27
Step-by-step explanation:
First mutiply 9 x -3
[tex]9 * -3=-27[/tex]
Since there is a negative the answer would be negative
[tex]Negative * Postive=Negative[/tex]
Therefore, the answer is -27
Hope this helps! :)
Answer by
Fishylikeswater
Find the product h · k(x) if h(x) = 2(3x – 5) and k(x) = –2x + 1?
Answer:
The answer is option C.
Step-by-step explanation:
h(x) = 2(3x – 5) = 6x - 10
k(x) = –2x + 1
h • k (x) = (6x - 10) ( - 2x + 1)
= - 12x² + 6x + 20x - 10
The final answer is
= - 12x² + 26x - 10
Hope this helps you
Answer:
C) h · k(x) = –12x2 + 26x – 10
Step-by-step explanation:
32 divided by 64 rounded to the neares 100
Answer:
.50
Step-by-step explanation:
32/64=.5. Since it is asking for the 100th place, you would add a decimal at the end.
Answer:
50
Step-by-step explanation:
so first do 32 divided by 64 then round it to the nearest 100.
ok gamers i just need an answer for this right here
Name the property of a definition illustrated by each of the following.
6(x-7)=6x-42
Answer:
I think this is the distributive property.
Step-by-step explanation:
3x-10-4
if x-3
3-164
if x=y=-25
88-y)
if =2 y = 6
6
2
if x=-12
9-10 +4
87-4
-32
4
3x + 4y - 3x
3,81-10) +5x
(2x + 6
if x = -2
-10x
1
ifr=
if x=-2
Kio-2+1
. 20th
2012
x+8y-(x)
(8x)+ 6x + 2
if x = -3
2x + 4y + xy
if x=y=2
8x + 2y
if x=1.5, y =-22
if x =-5, y =
ķ' +17-117
(x-6)+4
3r -8.rº + 7
if x = 4.5
-2x+8y
if x = 3, y = -9
(-5x) - 3x + x
if x=-3.5
if x=8
Answer/Step-by-step Explanation:
1. 3x - 10 +4 if x = 3
To evaluate, plug in the value of x in the expression given
3(3) - 10 + 4 = 9 - 10 + 4
= 3
2. [tex] \frac{x}{2} + 6x [/tex]
if x = -12
[tex] \frac{(-12)}{2} + 6(-12) [/tex]
- 6 - 72 = - 78
3. 8(x - y), if x = 2, y = 6
8(2 - 6) = 8(-4) = -32
4. x + xy, if x = 3, y = -2.5
3 + (3)(-2.5) = 3 + (-7.5)
= 3 - 7.5 = - 4.5
5. (2x)² + 6, if x = -2
(2*-2)² + 6 = (-4)² + 6
= 16 + 6 = 22
6. 3x + 4y - 3x, if x = 2, y = 4
3(2) + 4(4) - 3(2) = 6 + 16 - 6
= 16
7. [tex] -10x + \frac{4}{x} [/tex]
If x = -2
[tex] -10(-2) + \frac{4}{-2} [/tex]
20 + (-2) = 20 - 2 = 18
8. 3(8x - 10) + 5x, if x = ½
3(8*½ - 10) + 5(½)
3(4 - 10) + 2.5
3(-6) + 2.5 = -18+2.5 = - 20.5 or 20½
9. x + 8y - (x)², if x = -5, y = ¼
-5 + 8(¼) - (-5)² = -5 + 2 - (25)
= -3 - 25 = -28
10. (8x)² + 6x + 2, if x = -3
(8*-3)² + 6(-3) + 2 = (-24)² - 18 + 2
= 576 - 18 + 2 = 560
11. 2x² + 4y² + xy, if x = ½, y = 2
2(½)² + 4(2)² + (½)(2)
= 2(¼) + 4(4) + 1
= ½ + 16 + 1 = ½ + 17 = 17½
12. 8x + 2y, if x = 1.5, y = -2.2
8(1.5) + 2(-2.2)
12 - 4.4 = 7.6
13. [tex] \frac{5}{2}(x - 6) + 4 [/tex]
if x = 8.
[tex] \frac{5}{2}(8 - 6) + 4 [/tex]
[tex] \frac{5}{2}(2) + 4 [/tex]
= 5 + 4 = 9
14. 3x - 8x² + 7, if x = 4.5
3(4.5) - 8(4.5)² + 7
13.5 - 8(20.25) + 7
13.5 - 162 + 7 = -141.5
15. -2x² + 8y, if x = 3, y = -9
-2(3)² + 8(-9)
-2(9) - 72 = - 18 - 72 = 90
16. (-5x)² - 3x + x, if x = -3.5
(-5*-3.5)² - 3(-3.5) +(-3.5)
(17.5)² + 10.5 - 3.5
306.25 + 10.5 - 3.5 = 313.25
The price of an antique car in 2020 is 200% of its original price in 1980. By what percentage did the price increase over this 40-year period?
Answer: 100%
Step-by-step explanation:
Given the following :
Price of antique car in 2020 is 200% of its original price in 1980.
By what percentage did the price increase over this 40-year period?
Let the original price = x
x = price of car in 1980
Price of car in 2020 = 200% of x = 2x
Percentage increase in price is given by:
(increase / original price) × 100%
Increase = (price in 2020 - price in 1980)
[(Price in 2020 - price in 1980) / original price] * 100%
[(2x - x) / x] * 100%
[(2x - x) / x] * 100%
(x /x) * 100%
= 1 × 100%
= 100%
100x%
The percentage that the price increase over this 40-year period is 100%.
Percentage increaseUsing this formula
Percentage increase=(Current price-Original price)÷Original price × 100%
Let plug in the formula
Percentage increase= (200% of x1-1)/1×100
Percentage increase= 1 × 100%
Percentage increase= 100%
Inconclusion the percentage that the price increase over this 40-year period is 100%.
Learn more about percentage increase here:https://brainly.com/question/11360390
Un comerciante vende a un cliente 20kg de arroz 12,25 kilogramos de papa y 39, 16 kilogramos de frijol el peso de los artículos vendidos es
Respuesta:
71.41 kilogramos
Explicación paso a paso:
En este caso lo que debemos hacer para calcular el peso de los artículos vendidos, es sumar el peso individual de cada artículo, por lo tanto:
Peso total = peso del arroz + peso de la papa + peso del frijol
Ya que tienen la misma unidad de medida, no hay ningún problema para sumar, entonces reemplazamos:
Peso total = 20 + 12.25 + 39.16
Peso total = 71.41
Lo que quiere decir que el peso de los artículos vendidos es de 71.41 kilogramos
BRAINLIEST FOR CORRECT ANSWERRR
The function f(x) = −x^2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number of sodas sold. Determine the vertex, and explain what it means in the context of the problem.
(12, 16); The vertex represents the maximum profit.
(12, 16); The vertex represents the minimum profit.
(14, 4); The vertex represents the maximum profit.
(14, 4); The vertex represents the minimum profit.
Answer:
Part A:
The vertex : x = - b / 2 a = - 28 : ( - 2 ) = 14
y = f ( 14 ) = - 14² + 28 · 14 - 192 = 196 + 392 - 192 = 4
The vertex is ( 14, 4 ). It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.
Part B :
We will solve the quadratic equation:
x 1/2 = ( - 28 +/- sqrt ( 784 - 768 ) ) / ( - 2 )
x 1 = 12, x 2 = 16.
It means that if the shop must sell more than 12 and less then 16 sodas if they want to make a profit ( 13, 14, or 15 ). If they sell 12, or 16 they will brake even.
I think
The vertex of the given function is option(C) (14,4) The vertex represents the maximum profit
What is a Quadratic function?A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two
What is Vertex of Quadratic function?The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry
Given,
[tex]f(x) =-x^{2} +28x-192[/tex]
Vertex
x= [tex]-\frac{b}{2a}[/tex]
x= [tex]-\frac{28}{2(-1)} =14[/tex]
y= [tex]-14^{2}+28(14)-192 =4[/tex]
Vertex (14,4)
It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.
Hence, the vertex of the given function is option(C) (14,4) The vertex represents the maximum profit
Learn more about Quadratic function and Vertex of quadratic function here
https://brainly.com/question/16245526
#SPJ2
what is the formula for this equation?
hen spends 3 days baking 224 cookies. on the second day, he bakes twice as many as he did on the first day. on the third day, he baked half as many as he did on the first day. How many cookies did he bake o the 2nd day
Answer:
x + 2x + 1/2x = 224
Step-by-step explanation:
x + 2x + 1/2x = 224
3.5x = 224
x= 64
64×2=128
Hen baked 128 cookies on the second day