Answer: a) 97
b) 38.9
Step-by-step explanation:
a) add all of the numbers from the aptitude test together and then divide that number by the number of scores recorded, so it would be 777/8 which equals 97
b) add all of the numbers from the personality test together and then divide that by the number of scores recorded, so it would be 311/8 which equals 38.9
i hope this helps.
Assume that you want to replace your sailboat with a larger one in 3 years. To save for a
down payment for this purchase, you deposit $2,000 for 3 years in a bank account that pays
10% annual interest, compounded annually. How much will be in the account at the end of 4
years?
Answer: $11,600
Step-by-step explanation:
$2000 * 10% = $200
y = 200x + $2,000
12 * 4 = 48
48 = x
y = 200(48) + $2,000
y = $9,600 + $2,000
y = $11,600
PLEASE HELP!! Use triangle ROE to find the following. Leave the answer in fraction form (no decimal answer).
Step-by-step explanation:
tan Q = opposite / adjacent
tan Q= RO/ OE
tan Q = 8/ 15
The quadratic formula can be used to solve an equation only if the highest
degree in the equation is
A. 2
B. 1
O c. 3
O D.O
Answer:
A
Step-by-step explanation:
[tex]x = ((-b +/- (b^2 - 4ac)) / 2a[/tex]
The degree in the equation is 2.
The quadratic formula can be used to solve an equation only if the highest degree in the equation is 2.
Answer:
A. 2
Step-by-step explanation:
The quadratic formula is:
[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]
An equation of the form [tex]ax^2+bx+c=0[/tex] is only quadratic when [tex]a \neq 0[/tex], therefore it is linear.
Also, by definition, a quadratic equation is an equation where the highest exponent is a square.
4 points
3. The area of the base of a can is 45 square inches. Its height is 12 inches. If 1/3 of the
height is cut off, what will be the volume of the can?*
a) 540 cubic inches
b)180 cubic inches
c) 280 cubic inches
d) 360 cubic inches
Answer:
The correct answers is D
D) 360 cubic inches
Step-by-step explanation:
We know that the Area of the base of the can is given by
A = 45 inch²
Initial height of the can = 12 inches
Fraction of height cut off = 1/3
Calculate the final height after cutting off:
Find 1/3 of 12 inches:
[tex]\frac{1}{3}\cdot12=4[/tex]
Subtract the answer from 12 to get final height:
Final height = 12- 4 = 8 inches
Can is a form of cylinder, so:
Volume = (Area)(height)
[tex]V=45\cdot8\\V=360inch^3[/tex]
Create one equation with the distributive property and explain how to solve it.
Answer:
See explanation
Step-by-step explanation:
An example of an equation with the distributive property would be:
3(x+4) = 30
The distributive property tells us:
3(x+4) = 3x+12, since the 3 carries into both x and 4.
Therefore, you have:
3x + 12 = 30
-> 3x = 18
-> x = 6
2(3+4)=? would be an equation that you can perform distributive property on.
To solve it, multiply 2x3 and then multiply 2x4 once you have the answers, add them together. That is how to use distributive property. Thanks!
What does the following define?
Through a given point not on a given line there is exactly one line parallel to
the given line.
A. Playfair Axiom
B. Euclid's fifth postulate
O C. Riemann's Negation
OD. Zeno's Paradox
SUBMIT
Which macaw has a mass closest to 1 kilogram?
PLS HELP BEST ANSWER GETS BRAINLESST AND FOLLOW!!
Answer:
green winged
Step-by-step explanation:
coz 1 kg = 1000g
and 900 is closer to 1000
Answer:
green-winged
Step-by-step explanation:
what is the simplified form of x + 8 / 4 - x + 5 / 4
A. x + 3 / 4
B. x - 3 / 4
C. 3 / 4
D. 2x + 13 / 4
Answer:
I think it is d
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
[tex]\frac{x+8}{4}-\frac{x+5}{4}=\frac{x+8-(x+5)}{4}\\\\=\frac{x+8-x-5}{4}\\\\=\frac{3}{4}[/tex]
PLZ HELP!!!!!! ALGEBRA!!!!!!!!!!!
Answer:
prety sure its 2,3,4,1
Step-by-step explanation:
Classify the following triangle. Check all that apply.
Part C
Suppose the ceiling is 12 feet high. If Tamara orders 480 square feet of wallpaper, will she have enough to
cover all four walls? Use the drop-down menus to explain your answer.
Tamara needs to cover a total of Choose...
square feet, which is
Choose...
480
square feet. So, Tamara Choose...
have enough paint to cover all four walls.
The width 8 1/3
Length 11 1/2
Height 12
Area- 95 5/6
PLEASE HELP ❤️
Answer:
Tamara needs to cover a total of 552 square feet of wall, which is 72 square feet more than the area of the wallpaper she requested for. So, Tamara does not have enough wallpaper to cover the four walls.
Step-by-step explanation:
Given that: width = 8 1/3 feet, length = 11 1/2 feet , height = 12 feet.
The area of a wall to be covered is determined by the product of its length and height, where the width is the thickness of the wall.
Area of the wall = length × height
= 11 1/2 × 12
= [tex]\frac{23}{2}[/tex] ×[tex]\frac{12}{1}[/tex]
= [tex]\frac{276}{2}[/tex]
= 138
Area of each wall is 138 square feet.
Total area of the four walls = 138 × 4
= 552
The total area of walls to be covered is 552 square feet.
Therefore:
Tamara needs to cover a total of 552 square feet of wall, which is 72 square feet more than the area of the wallpaper she requested for. So, Tamara does not have enough wallpaper to cover the four walls.
On a circle radius 6 feet what Inglewood substantial an arc of length of 2 feet
Answer:
Step-by-step explanation:
i dont give the direct answer as it will not help you learn anyything... but i will will give u an exampleso that u understand the concept..
arc length= 2piR theta/360degree
substitute ur values and then simplify to get the desired answer
hope this helps you
Answer:
arc length= 2piR theta/360degree
substitute your values and then simplify to get the desired answer
Step-by-step explanation:
In one U.S. city, the taxi cost is $2 plus $0.50 per mile. If you are traveling from the airport, there is an additional charge of $6.00 for tolls. How far can you travel from the airport by taxi for $38.00?
Answer:
60 miles
Step-by-step explanation:
the equation for the cost for traveling from the airport can be represented by y= .50x + 2 + 6
where y is the final cost and x is the amount of miles. plug in 38 to y to get 38 = .50× +2 + 6. Solve for x.
38-6 =.50× +2
32 =.50x +2
32-2=.50x
30=.50x
30/.50=x
60=x
therefore, the 60 miles is how far you can go with $38
The ordered pair (2, 25) is a solution for which equation(s)? Check all that
apply.
Help asap plz, shshshjdhshxh
What is the product of 1.65 and 1.05 × 10[tex]10^-{2}[/tex]?
Answer:
15y +x = 57(55)
Step-by-step explanation:
Multiplication is the process of multiplying. The product of 1.65 and 1.05×10⁻² is 0.017325.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The product of 1.65 and 1.05 × 10⁻² can be solved as,
= 1.65 × 1.05 × 10⁻²
= 1.65 × 1.05 × 0.01
= 0.017325
Hence, the product of 1.65 and 1.05×10⁻² is 0.017325.
Learn more about Multiplication:
https://brainly.com/question/14059007
#SPJ2
30 Points for anyone HELP FAST PLEASE
Answer:
49,12 ft²
Step-by-step explanation:
r = d/2 = 8ft/2 = 4 ft
A = At + Ac/2
= b×h/2 + π·r²/2
= 6ft×8ft/2 + 3,14·(4ft)²/2
= 3ft×8ft + 3,14×16ft²/2
= 24ft² + 25,12ft²
= 49,12 ft²
A bag contains 5 white, 3 black, and 2 green balls. Balls are picked at random.
Explain why the events picking a black ball and then another black ball are
dependent. Then identify the probability,
Answer:
look down there
Step-by-step explanation:
First ball:
Probability of drawing a white ball is 5/8
Probability of drawing a black ball is 3/8
Second ball:
This depends on the first ball drawn, lets say you drew a white ball initially, 4 white balls are left out of 7 balls in total. The probability of a white ball in the second pick is 4/7.
Total probability of drawing two white balls is 5/8*4/7 (since they are independent events).
If you picked a black ball initially, picking another black ball would have a probability of 2/7, on similar grounds , total prob for 2 blacks would be 3/8*2/7.
The probability that you pick 2 balls of same color is (5/14 + 3/28) = 13/28. (Since they are mutually exclusive events)
The probability of picking a black ball and then another black ball is; Due to conditional probability and is equal to 1/15
How to solve conditional probability?
Conditonal probability means that the probability of one event is affected or depends on the probability of another event.
Now, total balls in the bag is;
Total balls = 5 + 3 + 2
Total balls = 10 balls
Probability of first picking a black ball is;
P(black ball first) = 3/10
Now, when a black ball is picked, there will ba 9 balls left in the bag of whih only 2 are black. Thus, the probability of picking another black ball is;
P(black ball second) = 2/9
Thus;the probability of picking a black ball and then another black ball is;
P(black ball | black ball) = 3/10 * 2/9
P(black ball | black ball) = 1/15
Read more about Conditional Probability at; https://brainly.com/question/10739997
Tina buys 100 Shares of Blackstone Group, Market Price $32.39. How much did she spend in total
Answer: $3,239
Step-by-step explanation:
(100 shares) times ($32.39 per share) = $3239
:)
Answer:
$3239
Step-by-step explanation:
No of shares = 100
Market price per share = $32.39
Total expenditure
= No of shares * Market price per share
= 100 * $32.39
= $3239
Which of the following describes the function x^4-3?
Answer:
what are the following?
Step-by-step explanation:
There are many cylinders for which the height and radius are the same value. Let
c
c
represent the height and radius of a cylinder and
V
V
represent the volume of the cylinder.
Write an equation that expresses the relationship between the volume, height, and radius of this cylinder using c and V.
If the value of c is halved, what must happen to the value of the volume V?
Answer:
Relation between V and c is represented as:
[tex]V = \pi c^{3}[/tex]
When c is halved, V becomes [tex]\frac{1}{8}[/tex] of its initial value.
Step-by-step explanation:
Height of cylinder = Radius of cylinder = c
Volume of cylinder = V
As per formula:
[tex]V = \pi r^{2} h[/tex]
Where [tex]r[/tex] is the radius of cylinder and
[tex]h[/tex] is the height of cylinder
Putting [tex]r = h =c[/tex]
[tex]V = \pi c^{2} \times c\\\Rightarrow V = \pi c^{3} ......(1)[/tex]
The values of c is halved:
Using equation (1), New volume:
[tex]V' = \pi (\dfrac{c}{2})^3\\\Rightarrow \dfrac{1}{8} \pi c^{3}[/tex]
By equation (1), putting [tex]\pi \times c^{3} = V[/tex]
[tex]V' = \dfrac{1}{8} \times V[/tex]
So, when c is halved, V becomes [tex]\frac{1}{8}[/tex] of its initial value.
Find the length of the missing side of the triangle shown below. Round to the nearest tenth, if necessary.
Answer:
The length of the missing side is 21.9 m.
Step-by-step explanation:
The Pythagorean Theorem states that a² + b² = c². (a = small side, b = long side, c = hypotenuse). Substituting the values from this triangle into the Pytagorean Theorem equation, we get:
9² + 20² = c²
81 + 400 = c²
481 = c²
√481 = c
21.9 = c
Is this triangle acute, right, or obtuse?
Answer:
acute
Step-by-step explanation:
every angle is under 90 degrees
Answer:
The triangle is acute.
Step-by-step explanation:
-According the to following triangle, the angles are acute, because acute angles less wider and they measure less than 90°.
-The reason why the triangle is not a right or obtuse, is because right angles are angles that measure exactly 90°, and obtuse angles are angles that are much wider and they measure greater than 90°.
If Bobby went to the shop and there was a 20% sale. He was going to buy a top for £20.
How much does Bobby save?
What is the new price of the top?
If Sarah went to the shop and there was a 10% sale. She was going to buy 7 CDs for £60.
How much does Sarah save?
What is the new price of the CDs?
Answer:
Bobby saves 4$.
The new price is 16$.
Step-by-step explanation:
.2*20=420-4=16I hope you get it right
Type the correct answer in each box. Use numerals instead of words.
What is the y-intercept of this quadratic function?
f(x) = -x^2+ 10x - 22
The y-intercept of function f is (____,____).
Answer:
(0,-22)
Step-by-step explanation:
its correct, trust me
an empty 1200 gallon tank is filled with water at a rate of 6 gallons of water per minute. At the same time another 1200 gallon tank full of water is being drained at a rate of 9 gallons per minute how many minutes will it take for the amount of water in both tanks to become the same
Answer: 80 minutes
Step-by-step explanation:
Hi, to answer this question we have to write an equation for each tank:
An empty 1200 gallon tank is filled with water at a rate of 6 gallons of water per minute.
So, the amount of water of the tank is equal to the filling rate, 6 liters per minute (6m)
Tank 1 =0 (empty )+ 6m =6mThe second 1200 gallon tank full of water is being drained at a rate of 9 gallons per minute.
Tank 2 = 1200-9mSo, the amount of water in the tank is equal to the amount of water already in the tank (1200 g), minus the draining rate (9m)
Since both tanks will have the same amount of water:
6m = 1200-9m
Solving for m (minutes):
6m+9m= 1200
15m = 1200
m= 1200/15
m= 80 minutes
Feel free to ask for more if needed or if you did not understand something.
Tyler has asked for a fish tank for his birthday. The tank he wants is a rectangular prism 20 inches long, 10.5 inches wide, and 12.5 inches tall. What is the volume of the fish tank?
Answer:
2625 inches ^3
Step-by-step explanation:
20(10.5) =210
210 ( 12.5) = 2625
enlarge the triangle by 3
Answer:
is this a question?
Step-by-step explanation:
A formula for finding SA, the surface area of a rectangular prism, is
SA = 2(ab + ac + bc), where a, b, and c represent the lengths of the edges of the prism. What is the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches?
A. 240 in. 2
B. 248 in. 2
C. 288 in. 2
D. 258 in.2
Answer:
Option C.
Step-by-step explanation:
It is given that the surface area of a rectangular prism, is
[tex]SA=2(ab+ac+bc)[/tex]
where a, b, and c represent the lengths of the edges of the prism.
We need to find the surface area of this prism if a = 12 inches, b = 6 inches, and c = 4 inches.
Substitute a=12, b=6 and c=4 in the above formula.
[tex]SA=2((12)(6)+(12)(4)+(6)(4))[/tex]
[tex]SA=2(72+48+24)[/tex]
[tex]SA=2(144)[/tex]
[tex]SA=288[/tex]
The surface area of this prism is 288 sq.inches.
Therefore, the correct option is C.
Answer:
The answer is C
Step-by-step explanation:
Please help with this
Answer:
D) <1 and <2, <1 and <8, <2 and <3, <3 and <8
Step-by-step explanation:
Supplementary angles are angles that add to 180 degrees. So, D is correct.
