Answer:
Variance =10900.00
Standard deviation=104.50
Step by step Explanation:
Admissions Probability for 1100= 0.2
Admissions Probability for 1400=0.3
Admissions Probability for 1300 =0.5
To find the expected value, we will multiply each possibility by its probability and then add.
mean = 1100*0.2 + 1400*0.3 + 1300*0.5 = 1290
To find the variance, we will start by squaring each possibility and then multiplying it by its probability. We will then add these and subtract the mean squared.
E(X^2)=( 1100²*0.2)+ (1400²*0.3 )+ (1300²*0.5) = 1675000
Variance(X)=E(X²)- [E(X)]²
= 1675000 - (1290)²
=10900
Hence, the Variance(X)=10900
Then to calculate the standard variation , we will use the formular below,
standard variation (X)=√ var(X)= √10900
=104.5
Hence the standard variation=104.5
find the value of x. 43°
Answer: x = 137°
Step-by-step explanation:
When a quadrilateral is inscribed in a circle, the opposite angles are supplementary.
x + 43° = 180°
x = 137°
The value of x is 137°.
What is inscribed quadrilateral?The quadrilateral whose all 4 vertices lie on the circumference of the circle is called an inscribed quadrilateral.
In inscribed quadrilateral opposite angles are supplementary i.e. sum of those opposite angles is 180°.
Here given in the picture that the measurements of the two opposite angles in the inscribed quadrilateral in the circle are 43° and x°.
So as we know in the inscribed quadrilateral opposite angles are supplementary.
So sum of those opposite angles in the quadrilateral is 180°.
so we can write x+43°= 180°
⇒ x = 180°- 43°
⇒ x = 137°
Therefore the value of x is 137°.
Learn more about inscribed quadrilateral
here: https://brainly.com/question/26690979
#SPJ2
A large explosion causes wood and metal debris to rise vertically into the air with an initial velocity of 96 feet per second. The quadratic function h(t)=96t−16t2 gives the height h (in feet) of the debris at time t (in seconds) after the explosion. How many seconds will it take before the debris falls back to the ground?
Answer:
6 seconds
Step-by-step explanation:
We have to find the t-intercepts of the function. To do so, let's set h(t) = 0.
0 = 96t - 16t²
0 = 16t(6 - t) -- Factor 96t - 16t²
16t = 0 or 6 - t = 0 -- Use Zero Product Property
t = 0 or t = 6 -- Solve for t
We're not looking for the solution t = 0 because that represents when the debris was launched. Therefore, the answer is 6 seconds.
Answer: 6 seconds
Step-by-step explanation: factor
Kendra rides a bicycle on a path that is 84 miles her average speed is 7 miles per hour to find about how long the trip takes solve the distance formula d = rt for t then substitute to find the time the trip takes
Answer:
Hello There!
~~~~~~~~~~~~~~~~~~
Kendra is planning to ride her bike that is 84 miles long. She plans to average 7 miles per hour. How long will the trip take?
-----
time = distance/rate
-----
t = 84 miles/7 m/hr = (84/7)hrs = 12 hrs.
Cheers,
Stan H.
------
So the answer is 12 hours.
------
Hope this helped you. Brainliest would be nice!
A ball is dropped from a window 24 m high. How long will it take to reach the ground? Acceleration is 9.8 m/s^2 because of gravity. PLS SHOW WORK
Answer:
0.638 seconds
Step-by-step explanation:
Since the ball is being dropped from a height of 24 meters, the equation will look like this:
24=9.8/s^2.
This is asking for how much seconds it will take for the ball to fall 24 meters to the ground.
Solve the equation:
24(s^2)=9.8
(s^2)=0.408
s^2=0.408
root the number:
0.638
you can round it to the nearest whatever it's asking you to round it to
Im not an expert, so please excuse me if it's not done correctly
Solve x2 + 4x − 4 = 0
Answer Choices:
x = -2 ± √16 all over 2
x = -4 ± √2
x = -2 ± 2 √2
x = 4 ± √18 all over 2
Answer:
third option
Step-by-step explanation:
Given
x² + 4x - 4 = 0 ( add 4 to both sides )
x² + 4x = 4
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 4 + 4, that is
(x + 2)² = 8 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ( subtract 2 from both sides )
x = - 2 ± 2[tex]\sqrt{2}[/tex]
2/3 divided by 5?If she walks 2/3 by another 5.
Answer:
The answer is 0.133
Step-by-step explanation:
All you have to do is take 2/3 as if it was a whole number and divide it by 5, or if you are able to use a calculator, you can just but it in as 2 divided by 3 and then divide 5 by whatever answer you get.
Answer:
Hello! 2/3 divided by 5 in fraction will be 2/15
Step-by-step explanation:
Since we have a 5 we need to change that into a fraction
5 would turn into 1/5
Now you have to multiply both of the fractions to get your answer.
2/3 x 1/5
= 2/15
(So 2/15 will be your answer.)
Hope this helps! :)
Find the equation of the line.
Answer:
y = (-1/3)x + 5
Step-by-step explanation:
The format of the equation of line required is in slope-intercept form:
y = mx + c
m is the slope, and c is the y-intercept.
First, lets find the slope.
Randomly find 2 points on the line. Label them as (x1, y1) and (x2, y2)
Let's say I pick the points (0,5) and (9, 2).
slope m = (y2 - y1) / (x2 - x1)
slope = (2-5 ) / (9-0)
= -3 / 9
= -1/3
the y-intercept is the point where the line cuts through the y-axis, which is 5 in this case.
Therefore, the equation of the line will be:
y = (-1/3)x + 5
URGENT...Please help me with this question!!!!!!
Answer:
option 2
Step-by-step explanation:
The problem can be solved using Pythagoras' identity for a right triangle.
The angle between due East and due North is 90°
The solution here involves using the Cosine rule.
let x be the direct distance between house and office, then
x² = 17² + 21² - 2(17)(21)cos90° → option 2
Note that since cos90° = 0 the equation reduces to
x² = 17² + 21² ← Pythagoras' identity
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP(25 points)
Answer: I hope it helps :)
x=6 , y=6√3x =23√3 , y=23u =12 , v= 6a =18√2 , b =18x = 13 , y= 13Step-by-step explanation:
1.
[tex]Hypotenuse =x\\Opposite =y \\Adjacent =6\\\alpha = 6\\Let's\: find\: the \:hypotenuse\: first\\Using SOHCAHTOA\\Cos \alpha = \frac{adj}{hyp} \\Cos 60 = \frac{6}{x} \\\frac{1}{2} =\frac{6}{x} \\Cross\:Multiply\\x = 12\\Let's\: find\: y\\Hyp^2=opp^2+adj^2\\12^2=y^2+6^2\\144=y^2+36\\144-36=y^2\\108=y^2\\\sqrt{108} =\sqrt{y^2} \\y=6\sqrt{3}[/tex]
2.
[tex]Opposite =x\\Hypotenuse = 46\\Adjacent =y \\\alpha =60\\Using \: SOHCAHTOA\\Sin \alpha =\frac{opp}{adj} \\Sin 60=\frac{x}{46}\\\\\frac{\sqrt{3} }{2} =\frac{x}{46} \\2x=46\sqrt{3} \\x = \frac{46\sqrt{3} }{2} \\x =23\sqrt{3} \\\\Hyp^2=opp^2+adj^2\\46^2=(23\sqrt{3} )^2+y^2\\2116=1587+y^2\\2116-1587=y^2\\529=y^2\\\sqrt{529} =\sqrt{y^2} \\y = 23[/tex]
3.
[tex]Hypotenuse = u\\Opposite =6\sqrt{3} \\Adjacent = v\\\alpha =60\\Sin\: 60 = \frac{6\sqrt{3} }{u} \\\frac{\sqrt{3} }{2} =\frac{6\sqrt{3} }{u} \\12\sqrt{3} =u\sqrt{3} \\\\\frac{12\sqrt{3} }{\sqrt{3} } =\frac{u\sqrt{3} }{\sqrt{3} } \\u = 12\\Hyp^2=opp^2+adj^2\\12^2= (6\sqrt{3} )^2+v^2\\144=108+v^2\\144-108=v^2\\36 = v^2\\\sqrt{36} =\sqrt{v^2} \\\\v =6[/tex]
4.
[tex]Hypotenuse = a\\Opposite =18 \\Adjacent = b\\\alpha =45\\Tan \alpha = opp/adj\\Tan \:45 =18/b\\1=\frac{18}{b}\\ b = 18\\\\Hyp^2=Opp^2+Adj^2\\a^2 = 18^2+18^2\\a^2=324+324\\a^2=648\\\sqrt{hyp^2} =\sqrt{648}\\ \\a =18\sqrt{2}[/tex]
5.
[tex]Hypotenuse = 13\sqrt{2}\\ Opposite =x\\Adjacent = y\\\alpha =45\\Sin\:\alpha = opp/hyp\\Sin 45=x/13\sqrt{2}\\ \\\frac{\sqrt{2} }{2} =\frac{x}{13\sqrt{2} } \\2x=26\\2x/2=26/2\\\\x = 13\\\\Hyp^2=opp^2+adj^2\\(13\sqrt{2})^2=13^2+y^2\\ 338=169+y^2\\338-169=y^2\\169=y^2\\\sqrt{169} =\sqrt{y^2} \\13 = y[/tex]
An employee is paid a salary of \$73,840 per year, plus benefits and overtime (time and a half) on hours worked over 40 per week, working as a civil servant. What is the regular time hourly rate of pay for this employee, and what is her total income in a month where she works 40 hours, 44 hours, 43.5 hours, and 40 hours, weekly, in the month?
A.$37.00/hr and \$6,336.25 in total income
B. $35.50/hr and \$6,079.38 in total income
C.$37.50/hr and \$6,421.88 in total income
D.$36.00/hr and \$6,165.00 in total income
Answer:
B. $35.50/hr and \$6,079.38 in total income
Step-by-step explanation:
Given the following :
Total regular pay earning for the year = $73,840
Let basic salary = b
Overtime = 1.5b
Regular earning per week :
Regular year earning / number of weeks per year
$73840 / 52 = $1420
Regular hours = 40
Regular earning per week = $1420
Regular earning per hour = $1420 / 40
Regular earning per hour = $35.50
Number of overtime hours :
4 hours + 3.5hours = 7.5hours
Overtime pay per hour = 1.5 * regular earning
Overtime pay per hour = 1.5 * 35.5 = $53.25
Total overtime pay = Overtime pay per hour * Number of overtime hours
Total overtime pay = $53.25 * 7.5
Total overtime pay = 399.375
Total pay for the month :
160 regular hours + 7.5 overtime hours
(160 * 35.5) + $399.375
$5,680 + 399.375 = $6,079.375
= $6,079.38
Yo can someone please help me
Answer:
Addition Property of EqualityStep-by-step explanation:
When doing algebra, you need to reverse operations. When you reverse an operation, you use one of the properties. For example, if you add 3x to undo subtracting 3x, you are using the addition property of equality, because the equation still equal.
I'm always happy to help :)A shipping container is in the shape of a cube and has a side length of 6ft. It can hold 4 smaller boxes of flour.
If the dimensions of the shipping container are tripled, what is the max number of smaller boxes of flour that the shipping box can hold
Answer:
c. 108
Step-by-step explanation:
Given
Shape of container: Cube
Initial dimension of the container = 6ft by 6ft by 6ft
Initial Number of boxes = 4
Required
Calculate the number of boxes when the dimension is tripled
The first step is to calculate the initial volume of the box;
[tex]Volume = Length * Length * Length[/tex]
[tex]Volume = 6ft * 6ft * 6ft[/tex]
[tex]Volume = 216ft^3[/tex]
This implies that the container can contain 4 small boxes when its volume is 216;
Represent this as a ratio;
[tex]4 : 216[/tex]
The next step is to calculate the volume when the dimension is tripled;
[tex]New\ Length = Old\ Length * 3[/tex]
[tex]New\ Length = 6ft* 3[/tex]
[tex]New\ Length = 18ft[/tex]
Hence;
[tex]Volume = 18ft * 18ft * 18ft[/tex]
[tex]Volume = 5832ft^3[/tex]
Let the number of boxes it can contain be represented with x
Similarly, represent this as a ratio
[tex]x : 5832[/tex]
Equate both ratios;
[tex]4 : 216 = x : 5832[/tex]
Convert ratios to fractions
[tex]\frac{4}{216} = \frac{x}{5832}[/tex]
Multiply both sides by 5832
[tex]5832 * \frac{4}{216} = \frac{x}{5832} * 5832[/tex]
[tex]5832 * \frac{4}{216} = x[/tex]
[tex]\frac{5832 *4}{216} = x[/tex]
[tex]\frac{23328}{216} = x[/tex]
[tex]108 = x[/tex]
[tex]x = 108[/tex]
Hence, the maximum number of boxes it can contain is 108
Which property was used to write the equation in step 2? Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.
Answer:
Distributive Property
Step-by-step explanation:
If we have an equation where we multiply something in parentheses by a certain term, then we can apply the distributive property to simplify it.
In this case: [tex]5(x-7)=55[/tex]
We can multiply [tex]x-7[/tex] by 5 to simplify this equation - this is the distributive property.
[tex]5x - 35 = 55[/tex]
So the property used to write the equation in Step 2 was the distributive property.
Hope this helped!
Answer:
the answer is didrtbutive
Step-by-step explanation:
hope it helps.
have a good day:)
The perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?
Answer:
P=2(length+width)
the length is 4.1 cm more than the width: l=4.1+w
61=(2(4.1+w+w))
61=8.2+2w+2w
61-8.2=4w
4w=52.8
w=13.2
Answer:
14 46\14
Step-by-step explanation:
p=L+W
p=61
L=4.1
W=?
61=4.1+W
61=4.1W
61\4.1=4.1\4.1
=14 46\14
The length of a garden is 2 feet more than its height. Write an equation for the area of the rectangles in terms of height, h. Area = ? sq. ft.
Answer:
h^2+2h
Step-by-step explanation:
Let h be the heigth of this garden
The length of this garden is 2 feet more than the heigth.
So the length can be expressed as h+2
The area of this triangle is the product of the heigth and the length.
A = h*(h+2)
A= h^2 +2h
can someone please tell me what is 100% of 45
Answer:
45.
Step-by-step explanation:
100% of a number is the number itself. So, 100% of 45 is 45.
Hope this helps!
Answer:it’s 45
Step-by-step explanation:It’s just the whole number nothing less:)
Jeffrey is 5 years older than his brother. If j represents Jeffrey's age, the expression j−5 can be used to find his brother's age. If Jeffrey is 23, how old is his brother
Answer:
18
Step-by-step explanation:
j represents Jeffrey's age
j - 5 represents brother
Jeffrey is 23 so j = 23
j-5 = 23-5 =18 = brother
Answer:
J=23
Then J-5= his brother
substitute and u will find j-5=23-5
=18 so his brother age is 18 years old
Step-by-step explanation:
An umbrella has 8 ribs which are equally spaced (see fig.). Assuming umbrellato
be a flat circle of radius 45 cm, find the area between the two consecutive ribs of
the umbrella.
Answer:
Yes.
Step-by-step explanation:
You are correct except to the nearest hundredth it is 795.54 cm^2.
The text classifies information systems as either operations or management support information systems. Which one of the following would not be classified as an operations support system?
A. Transaction processing systems
B. Process control systems
C. Enterprise collaboration systems
D. Decision support systems
Answer:
D. Decision support systems
Step-by-step explanation:
Operation Support System, sometimes referred to a group of computer programs that is used by the communications service provider for carrying out various operations or functions, such as monitoring, controlling, analyzing and managing a telephone or computer network.
It is often used by professionals such as Network planners, service designers, operations, architects and engineering teams in the service provider.
There are however, types of Operation Support System which are being used for different and specific purpose. They are classified into the following categories:
1. Transaction Processing Systems
2. Process control system
3. Enterprise collaboration system
4. Enterprise Resource
Hence, from the question above, the DECISION SUPPORT SYSTEM is not classified as Operation Support System.
Plz Help, and solve. Show your work. I will give Brainliest. A - 7 = -13 solve and show your work 10X - 8 = 9X + 8 Can a right triangle have sides that measure 12, 16, and 20? Show your work and answer.
Answer:
A - 7 = -13
Add 7
A = -6
10X - 8 = 9X + 8
Add 8
10X = 9X + 16
Subtract 9X
X = 16
In a right triangle, where a and b are the shorter sides, and c is the longer side a^2+b^2=c^2
Thus, plug in the values.
12^2+16^2=20^2
144+256=400
400=400.
Because the equation is true, 12, 16, and 20 can be a right triangle
Hope it helps <3
Answer:
For the first question/equation, A=-6. You can just add seven on both sides.
A-7+7=-13+7 A=-6
For the second question, X=16. You can minus 9x on both sides, then plus 8 on both sides. 10X-9X-8+8=9X-9X+8+8=X=16
For the last one, yes, it can because of 12^2+16^2=20^2. Which simplified is . 144+256= 400. So, yeah. It can be a right triangle.
For which of the following compound inequalities is there no solution?
Answer:
D
Step-by-step explanation:
|6y-3|+8=35
|6y-3|=35-8
|6y-3|=27
[|x-a|=b⇒x-a=± b]
6y-3=±27
1. case 1
6y-3=27
6y=27+3
6y=30
y=30/6=5
case 2.
6y-3=-27
6y=-27+3
6y=-24
y=-24/6=-4
so D
6m≤36
m≤36/6
or m≤6
and m+24≥20
m≥20-24
m≥-4
no solution as m≤-6 and m≥-4
Identify the image of ∆XYZ for a composition of a 50° rotation and a 40° rotation, both about point Y. Plz give an explanation will give brainiest.
Answer:
Answer D
Step-by-step explanation:
Triangle XYZ is rotated by a composition of 50°+40°=90° counter-clockwise. When a geometrical figure is rotated by any degree, then its shape or size does not change. A 90 degree rotation is a rotation by one quadrant, if you think of it on a coordinate plane. This inference should show you that choice D is the correct answer.
Which list of ordered pairs represents solutions to x+y=2?
(-4, 6), (0, 2), (4, 2)
(-4, 6), (0, 2), (4, -2)
04-4, -6), (0, 2), (4, 2)
Answer:
(-4, 6), (0, 2), (4, -2)
Step-by-step explanation:
You just need to guess and check.
(-4,6) → -4 + 6 = 2 ✔
(0,2) → 0+2 = 2 ✔
(4,2) → 4 + 2 = 6
(4, -2) → 4 - 2 = 2 ✔
(-4,-6) → -4 - 6 = -10
The correct answer is the second list (-4, 6), (0, 2), (4, -2)
Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F’G’H’I’
Which rule represents the translation of hexagon DEFGHI to hexagon D’E’F’G’H’I’?
(x,y)—> (x-8,y-7)
(x,y) —> (x-7,x-8)
(x,y) —> ( x-4,x-5)
(x,y) —> ( x-5,y-4)
Answer:
The answer is "[tex]\bold{(x,y)\longrightarrow (x-8, y-7)}[/tex]".
Step-by-step explanation:
In the given question some data is missing. so, the correct answer to this can be explained in the following example:
In the given example, point D is also known as the coordinates in the (2, 5), and in the coordination of the D prime (D') and after translation its co-ordinates value is (-6, -2). Since the very first choice is only accurate as:
⇒2-8 = -6
⇒ 5-7 = -2
It can try certain things too and see why this alone is the correct translation.
The two triangular prisms shown are similar. The
dimensions of the larger prism were multiplied by a
scale factor of to create the smaller prism.
When the large prism was reduced, the surface area
changed by a factor of
125
10
8
25
8
10
о
who arlin aloo
8
10
10
8
Answer: The surface area is reduced by a factor of 16/25
Step-by-step explanation: The area is the square measurements. So squaring the factor of the linear measurement change is the quick way is to determine the factor for the area.
The longer way-- if you had to prove your conclusion:
Compute the area of each side, add all the five sides of the prisms and find the ratio.
The area of the large prism is 500 square units.
The area of the smaller prism is 320 square units
320/500 = 32/50, reduce again 16/25
Answer:
B. 16/25
Step-by-step explanation:
Just took the Pre-Test on Edg (2020-2021)!
If sin θ=4/5 and 90°<θ<180°, what is cos θ?
Answer:
Cos ∅ = 3/5
BUT COSINE IS NEGATIVE IN THE SECOND QUADRANT.
Thus cos∅= -3/5
greater than (−8) but less than (−2)
Answer:
-8 < x < -2
start number line at -10 and end it at 0
draw an open circle* over the dash indicating -8 and -2
connect the open circles
*open circle because it is less than and greater than, not less than or equal to and greater than or equal to
Answer:
-8<x<-2
Step-by-step explanation:
yw luv :D
Is 3/4 = 9/12 greater or less than 1/2
Answer:
greater than
Step-by-step explanation:
To compare 3/4 to 1/2, let's convert 1/2 so that it has a denominator of 4. This would then be 2/4. Because 3 > 2, 3/4 > 2/4 which means 3/4 > 1/2.
Answer:
Greater
Step-by-step explanation:
It is greater than 1/2 because when you divide the fractions you get- 1/2 = 0.5, 3/4 = 0.75 And this makes it greater.
Which of the following is a point-slope equation for a line with the point
(-2, 4) and a slope of 3?
O A. y-2-3(x-4)
B. y-4-3(x-2)
O C. y +2 = 3(x-4)
O D. y - 4 - 3(x+2)
Hi there! :)
Answer:
Choice D. (y - 4) = 3(x + 2)
Step-by-step explanation:
An equation in point-slope form is:
(y - y1) = m(x - x1)
Where:
y1 = y-coordinate of a point
m = slope
x1 = x-coordinate of a point
In this instance, the point given is (-2, 4) with a slope of 3. Therefore, the equation in point-slope form would be Choice D. (y - 4) = 3(x + 2)
Answer:
Step-by-step explanation:
answer is C
Because formula of equation of slop is
Y-y1=m(x-x1)
Kermit's favorite iced tea is made with 15 1515 tea bags in every 2 22 liters of water. Peggy made a 12 1212-liter batch of iced tea with 90 9090 tea bags. What will Kermit think of Peggy's iced tea?
Correct question is;
Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: (Choice A) A It is too strong.
(Choice B) B It is too weak.
(Choice C, Checked) C It is just right.
Answer:
C - It is just right
Step-by-step explanation:
We are given that;
The Number of tea bags needed to make every 2 liters of water = 15 tea bags.
Thus,
For each liter of water, the number of tea bags needed = 15/2 = 7.5 tea bags.
Now, kermit needs to make 12 liters of iced tea.
Therefore, total number of tea bags required for 12 liters of iced tea = 12 × 7.5 = 90 tea bags.
Now, Peggy also took 90 tea bags to make a 12-liter batch of iced tea.
Therefore, kermit would think that the mixture of Peggy's tea is just right.
Correct option is C