Answer:
sin-1(2/3)=42 tan-1(4)=76 cos-1(0.1)=84
Step-by-step explanation:
a car was bought for 5500 and sold at 6500 find the percentage
Answer:
18.18%
Step-by-step explanation:
Percent change formula:
(new amount - old amount)/(old amount) * 100%
new amount: 6500
old amount: 5500
percent change:
(6500 - 5500)/5500 * 100% = 18.18%
Answer:
18.18%
Step-by-step explanation:
1000/5500 x (100) =(1000/5500)(100/1) =(2/11)(100/1)=(2)(100) (11)(1)= 200/11
=18.18%
Find the indicated area under the curve of the standard normalâ distribution; then convert it to a percentage and fill in the blank. Aboutâ ______% of the area is between zequals=minusâ1 and zequals=1 â(or within 1 standard deviation of theâ mean). About nothingâ% of the area is between zequals=minusâ1 and zequals=1 â(or within 1 standard deviation of theâ mean).
Answer:
68.26%
Step-by-step explanation:
The z score is a measure used in statistic to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then the raw score id below the mean. The z score is calculated using:
[tex]z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score[/tex]
From the normal distribution table, Area between z equal -1 and z equal 1 = P(-1 < z < 1) = P(z < 1) - P(z < -1) = 0.8413 - 0.1587 = 0.6826 = 68.26%
About 68.26% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean).
A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation
Answer:
ANSWER LINK
Please answer this question now
Answer:
[tex]\boxed{u = 13.7}[/tex]
Step-by-step explanation:
Using cosine rule
[tex]c^2 = a^2+b^2-2ab\ CosC[/tex]
Here c = u, a = 9 , b = 21 and C = 28
[tex]u^2 = 9^2+21^2-2(9)(21)\ Cos 28\\u^2 = 81+441-(378)(0.88)\\u^2 = 522 - 333.75\\u^2 = 188.24[/tex]
Taking sqrt on both sides
u = 13.7
Answer:
u ≈ 13.7
Step-by-step explanation:
Using the Cosine rule in Δ STU, that is
u² = s² + t² - 2stcosU
Here s = 21, t = 9 and U = 28°, thus
u² = 21² + 9² - (2 × 21 × 9 × cos28°)
= 441 + 81 - 378 cos28°
= 522 - 378 cos28° ( take the square root of both sides )
u = [tex]\sqrt{522-378cos28}[/tex]
≈ 13.7 ( to the nearest tenth )
trigonometry heeellllppp plzzzz
Answer:
x ≈ 3.4 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin57° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 )
4 × sin57° = x , thus
x ≈ 3.4 cm ( to 1 dec. place )
The value of y at x=-1in the equation 5y=2 is
Answer: y = 2/5 --> y = 0.4
Step-by-step explanation:
5y = 2 is a horizontal line at y = 2/5
so the y-value is 2/5 = 0.4 at EVERY x-value.
a girl spent 2/3 of her pocket money and was left with $1800.00 . How much was her pocket money
Answer: She had $5400
Step-by-step explanation:
We will let x represent the total amount of money in her pocket .
So we know that 1/3 of x has to equal 1800 because 2/3 of the money is already been spent so 1/3 will of the money will be left.
1/3 * x = 1800 solve for x by divide both sides by 2/3
x=5400
Check.
1/3 * 5400 =1800
Please help I need to finish this before I can take my final
Options:
A) f(x), g(x), h(x)
B) g(x), f(x), h(x)
C) h(x), g(x), f(x)
D) g(x), h(x), f(x)
Answer: D
Step-by-step explanation: Plug in 0 for x and solve. Then plug in 4 for x and solve. Compare the results. Which function has the smallest difference in output? Which has the greatest difference in output?
Suppose we have three urns, namely, A B and C. A has 3 black balls and 7 white balls. B has 7 black balls and 13 white balls. C has 12 black balls and 8 white balls. We first choose one urn from A, B and C. Then we randomly pick up two balls from that urn without replacement. Let Ai, i 1,2,3 denote the event that the urn we choose is A, B and C respectively. Suppose P(A1): P(A2): P(A3) =1:2:2. Compute :
(a) The probability that the first ball is black.
(b) The probability that the first ball is black given that the second ball is white.
Answer:
a. 11/25
b. 11/25
Step-by-step explanation:
We proceed as follows;
From the question, we have the following information;
Three urns A, B and C contains ( 3 black balls 7 white balls), (7 black balls and 13 white balls) and (12 black balls and 8 white balls) respectively.
Now,
Since events of choosing urn A, B and C are denoted by Ai , i=1, 2, 3
Then , P(A1 + P(A2) +P(A3) =1 ....(1)
And P(A1):P(A2):P(A3) = 1: 2: 2 (given) ....(2)
Let P(A1) = x, then using equation (2)
P(A2) = 2x and P(A3) = 2x
(from the ratio given in the question)
Substituting these values in equation (1), we get
x+ 2x + 2x =1
Or 5x =1
Or x =1/5
So, P(A1) =x =1/5 , ....(3)
P(A2) = 2x= 2/5 and ....(4)
P(A3) = 2x= 2/5 ...(5)
Also urns A, B and C has total balls = 10, 20 , 20 respectively.
Now, if we choose one urn and then pick up 2 balls randomly then;
(a) Probability that the first ball is black
=P(A1)×P(Back ball from urn A) +P(A2)×P(Black ball from urn B) + P(A3)×P(Black ball from urn C)
= (1/5)×(3/10) + (2/5)×(7/20) + (2/5)×(12/20)
= (3/50) + (7/50) + (12/50)
=22/50
=11/25
(b) The Probability that the first ball is black given that the second ball is white is same as the probability that first ball is black (11/25). This is because the event of picking of first ball is independent of the event of picking of second ball.
Although the event picking of the second ball is dependent on the event of picking the first ball.
Hence, probability that the first ball is black given that the second ball is white is 11/25
Jack deposited 200$ in his savings account in 1$ and 5$ bills. If he deposited 136 bills, how many 5$ bills did he deposit?
Answer:
He deposited 16 $5 bills.
Step-by-step explanation:
State your variables
let x be the number of $1 bills
let y be the number of $5 bills
Create a system of equations
x + 5y = 200 (eq'n 1 -- for amount of money)
x + y = 136 (eq'n 2 -- for number of bills)
Solve the system for y
I will solve using substitution. Rearrange eq'n 2 to isolate variable x.
x + y = 136
x = 136 - y (eq'n 3)
Substitute eq'n 3 into eq'n 1.
x + 5y = 200
136 - y + 5y = 200
136 + 4y = 200
4y = 64
y = 16
Solve for x to check answer
Substitute y = 16 into eq'n 2.
x + y = 136
x + 16 = 136
x = 120
Substitute x = 120 into eq'n 1.
x + 5y = 200
120 + 5(16) = 200
120 + 80 = 200
200 = 200
LS = RS Both sides are equal, so the solution is correct.
Therefore, Jack deposited 16 five dollar bills.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
[tex]\boxed{15}[/tex]
Step-by-step explanation:
Set the output equal to 0.
[tex]-2x^2 +20x+150=0[/tex]
Factor left side of the equation.
[tex]-2(x+5)(x-15)=0[/tex]
Set factors equal to 0.
First possibility:
[tex]-2(x+5)=0\\x+5=0\\x=-5[/tex]
Second possibility:
[tex]x-15=0\\x=15[/tex]
The value or prize cannot be negative.
[tex]x\neq -5\\ x=15[/tex]
In the diagram, the measure of angle 8 is 124°, and the measure of angle 2 is 84°. What is the measure of angle 7? 56° 84° 96° 124°
================================================
Explanation:
The information about angle 2 is unnecessary info that your teacher likely put in there as a distraction. All we need is angle 8, which is 124 degrees. Angle 7 adds to this to form a 180 degree straight angle.
(angle 7) + (angle 8) = 180
(angle 7) + 124 = 180
angle 7 = 180 - 124
angle 7 = 56 degrees
Answer:
The measure of angle 7 is 56°.
Step-by-step explanation:
here, angle 8 = 124°
now, angle 8+ angle 7=180° (as the sum of linear pair is 180°)
or, 124°+angle 7=180°
or, angle 7=180°-124°
Therefore, tge measure of angle 7 is 56°.
Hope it helps.
Which volume formula or formulas show(s) a joint variation? I =3 V = s 3 II =πr2h V = π r 2 h III =ℎ V = B h Select one: a. III only b. I only c. II and III only d. I, II, and III
Answer:
C. . II and III only
Step-by-step explanation:
Given:
I. V=s^3
II.V=πr^2h
III. V=Bh
From the above
I. V varies directly as cube of s
II. V varies jointly as square of r and h where π is the constant of proportionality.
III. V varies jointly as B and h
Therefore, the volume formula which shows a joint variation are
II.V=πr^2h and III. V=Bh
Answer is C. II and III only
HELP I WILL GIVE 50 POINTS AND BRAINLIEST TO WHOEVER ANSWERS FIRST Graph y>1−3x.
Answer:
The last graph
Step-by-step explanation:
This is because when there is a greater than sign, the line on the graph is dotted and the shaded area is facing upwards. I try to remember that when there is a greater than sign or a greater than or equal to sign, the shaded area faces up towards the sky.
Hope this helps. Please inform me if my answer is wrong.
Answer:
The last graph is correct
Step-by-step explanation:
Hello,
First of all, you need to identify the line y = -3x + 1
This is a line so two points are enough to identify it.
-3*0+1 = 1 so (0,1) is a point of this line and
-3*1 + 1 = -2 so (1,-2) is another point of this line.
I attached a graph of this line.
Now, the inequality is y > 1-3x
It means that we are looking for the part of the plan which is (strictly) above this line.
This is not ( [tex]\geq[/tex] ) inequality but a strict equality ( > ) so the points of the line are not included, so the last graph is the correct one.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% of this population prefers the color red. If 14 buyers are randomly selected, what is the probability that exactly 2 buyers would prefer red
Answer:
The probability that exactly 2 buyers would prefer red car is 0.0317.
Step-by-step explanation:
Let the random variable X represent the number of buyers would prefer red car.
The probability of the random variable X is, p = 0.40.
A random sample of n = 14 buyers are selected.
The event of a buyer preferring a red car is independent of the other buyers.
The random variable X thus follows a Binomial distribution with parameters n = 14 and p = 0.40.
The probability mass function of X is:
[tex]P(X=x)={14\choose x}(0.40)^{x}(1-0.40)^{14-x};\ x=0,1,2,3...[/tex]
Compute the probability that exactly 2 buyers would prefer red car as follows:
[tex]P(X=2)={14\choose 2}(0.40)^{2}(1-0.40)^{14-2}[/tex]
[tex]=91\times 0.16\times 0.0021768\\=0.031694208\\\approx 0.0317[/tex]
Thus, the probability that exactly 2 buyers would prefer red car is 0.0317.
John should drive to his workplace and back to home. On the way to the workplace it was raining, so he drove at speed of 42mph. On the way back the rain was over so his speed was 54mph. What was John's average speed, for the whole trip?
Answer:
48 mph.
Step-by-step explanation:
You need to calculate the average. So,
42 + 54 = 96
Because there are two quantities, 42 and 54, divide 96 by 2.
The average speed is 48.
Alicia Keys's new album As I Am is climbing the charts, and the manager of Tip Top Tunes expects to sell a lot of copies. Because she has limited shelf space, she can't put out all her copies of the CD at once. On Monday morning, she stocked the display with 40 copies. By the end of the day, some of the copies had been sold. On Tuesday morning, she counted the number of copies left and then added that many more to the shelf. In other words, she doubled the number that was left in the display. At the end of the day, she discovered that she had sold the exact same number of copies as had been sold on Monday. On Wednesday morning, the manager decided to triple the number of copies that had been left in the case after Tuesday. Amazingly, she sold the same number of copies on Wednesday as she had on each of the first two days! But this time, at the end of the day the display case was empty. How many copies of the As I Am CD did she sell each day?
Answer:
About 4.44
Step-by-step explanation:
Let x represent the unknown amount of CD's sold each day. Thus, the linear equation is formed:
40-x = 2x + 3 (2x) Next collect like terms by adding x to both sides.
40-x+x= x + 2x + 3 (2x)
40 = 3x + 3 (2x)
40 = 3x + 6x
40= 9x
40/9 = 9x/9
x= 4.44
Note: 2x represents doubling up the sales amount, which was left.
3x represents tripling the sales amount left.
What is the answer I need help
Answer:
C
Step-by-step explanation:
the area of a square ground is 42025 metre square.Find the perimeter of the field.
Answer:
[tex] \boxed{820 \: m}[/tex]Step-by-step explanation:
Given,
Area of square ground = 42025
Now, let's find the length of square ground
Area of square = [tex] = {l}^{2} [/tex]
plug the values
[tex]42025 = {l}^{2} [/tex]
Swipe the sides of the equation
[tex] {l}^{2} = 42025[/tex]
Squaring on both sides
[tex] \sqrt{ {l}^{2} } = \sqrt{42025} [/tex]
Calculate
[tex]l = 205[/tex] meters
The length of square ground = 205 meters
Now,Let's find the perimeter of square
Perimeter of square [tex] = 4l[/tex]
plug the value of length
[tex] = 4 \times 205[/tex]
Multiply the numbers
[tex] = 820[/tex] meters
Hope I helped.
Best regards!!
Please help Asap, will give brainiest only if answer correctly with a good explanation
Answer:
D, or the last option.
Step-by-step explanation:
See how the rotation does not say whether it is Clockwise or Counterclockwise?
Now, what that means, is that it will, default, be CCW. I don't know why, but math teachers are like that.
Now, 80* and 10* add up to 90* (because they are both unmarked and going to the same direction).
So, 90* rotation CCW. Simple! Thus, the last option should be correct.
Hope this helps!
P.S. Stay Safe!
You have a part time job in your junior year of high school. You need to borrow $2,000 to purchase a used car to drive to work. The local bank will lend you money for 2 years at a rate of 9% compounded quarterly. Your uncle offers to lend you the money in the form of a promissory note for 2 years with an annual simple interest rate of 6%. How much money will you save by borrowing the money from your uncle?
Answer:
$149.66
Step-by-step explanation:
Step 1
Calculate Total Amount payable to the bank using compound interest
Total Amount payable (A) =
P(1 + r/n)^nt
P = Principal = $2000
r = Interest rate = 9% = 0.09
n = compounding interest = quarterly = 4
t = time in years = 2
Total Amount payable
= 2000(1 + 0.09/4)^0.09 × 2
A = $ 2,389.66
Interest = A - Principal
= $ 2,389.66 - $ 2,000.00
I (interest) = $ 389.66
Step 2
Calculate the Total amount payable to his uncle using simple interest.
Total Amount (A) = P(1 + rt)
P = Principal = $2000
r = Interest rate = 6% = 0.06
t = time in years = 2
A = 2000(1 + 0.06 × 2)
A = $2,240
A - Principal
= $ 2,240 - $ 2,000.
I (interest) = $240
Step 3
The amount of money you will save by borrowing the money from your uncle is calculated as:
Amount payable to the bank - Amount payable to your uncle
= $ 2,389.66 - $2,240
= $149.66
Therefore, the amount of money you will save by borrowing the money from your uncle is $149.66
Find the length of AC round to the nearest hundred
Answer:
Option B. 9.11
Step-by-step explanation:
To find the length of line AB, we must first of all calculate the value of θ as shown in the attached photo.
The value of θ can be obtained as follow:
θ + 39° + 120° = 180° (sum of angles in a triangle)
θ + 159° = 180°
Collect like terms
θ = 180° – 159°
θ = 21°
Thus, we can obtain the length of line AB by using sine rule as illustrated below:
b/Sine B = c/Sine C
b = 16
Angle B = 39°
Sine C = 21°
c =?
b/Sine B = c/Sine C
16/Sine 39° = c/Sine 21°
Cross multiply
c × Sine 39° = 16 × Sine 21°
Divide both side by Sine 39°
c = (16 × Sine 21°) / Sine 39°
c = 9.11
Therefore, the length of line AB is 9.11
This problem is kinda hard can you help me
Answer:
B - 5
Step-by-step explanation:
K: 60
M: 60 x 25%; 60 x .25 = 75
K: 1500/60 = 25
M: 1500/75 = 20
25-20=5
Tucker is painting his pool deck over the weekend. The area of the deck is 76 1 2 square meters. He paints 2 3 of the deck before stopping to eat lunch. How many square meters does Tucker have left to paint after lunch?
Answer:
25 1/2 square meters remaining
Step-by-step explanation:
Total area of the pool deck=76 1/2 square meters
He painted 2/3 of the deck before stopping for lunch
Total painted=2/3 of 76 1/2
=2/3*153/2
=306/6
=51 square meters
Total remaining=Total area - total painted area
=76 1/2 - 51
=153/2 - 51
=153-102/2
=51/2
=25 1/2 square meters remaining
Plz plz please answer it fast urgent
Answer - 1) -6/3
2)3/20
3)3/4
Hope this may helps you
Answer:
A.-2
B.its 3/20=0.15
C.3/4=0.75
Can someone help again please
Answer:
192km^2
Step-by-step explanation:
Well there are 5 surfaces
1) The back one
10km*6km=60km^2
2) the square
(6km)^2=36km^2
3) the two triangles
2(6km*8km/2)=48km^2
4) the front one
6km*8km=48km^2
add all up and get
192km^2
Answer: 192 square kilometers
Step-by-step explanation:
Two triangular Sides A=bh/2 8×6/2=24
So add two of them. : 48
Back side 10 × 6 = 60
Top 6×6=36
Front 6×8=48
Total: 48+60+36+48=192
How many times larger is 5 × 106 than 5 × 102?
PLEASE HELP !
Divide the largest one by the smallest one : for example, the number 4 is 42=2× larger than the number 2.
Indeed, If you multiply 2 by 42 you'll get 4.
Of course, if a number is n× larger than another, then this other is n× smaller than the first one.
It will of course work with floating point : 0.6×10.6≈0.6×1.6667=1 so 1 is ~1.6667 times larger than 0.6 while 0.6 is ~1.6667 smaller than 1.
plz mark me as the Brainleist plz
5/16 = 15/18 is proportion
Answer:
False
Step-by-step explanation:
In a proportion, the two fractions are equal. Here the denominators are different for the same numerator, so the fractions are not equal. The given expression is not a proportion.
Complete the table for the given rule. hi guys this is question is Rule: y is 1/3 times as large as x x y 0 6 12 y need to know y by the rule i need this quilky plz
Answer:
The completed table is
x | 0 | 6 | 12
y | 0 | 2 | 4
Step-by-step explanation:
It is given that y is (1/3) as large as x. That is,
y = (x/3)
x | 0 | 6 | 12
y | ? | ? | ?
y = (x/3)
When x = 0,
y = (0/3) = 0
when x = 6,
y = (6/3) = 2
when x = 12,
y = (12/3) = 4
The completed table is thus
x | 0 | 6 | 12
y | 0 | 2 | 4
Hope this Helps!!!
The values of x will be 0 , 18 , 36 respectively when the value of y is 0, 6, 12.
Given,
y is 1/3 times as large as x.
So, [tex]x=3y[/tex].
We have to calculate the value of x when y is given .
1. when [tex]y=0[/tex]
Then, [tex]x=0[/tex]
2.when, [tex]y=6[/tex]
Then, [tex]x=18\\[/tex]
3. When [tex]y=12[/tex]
[tex]x=3\times 12\\x=36[/tex]
Hence, the values of x will be 0 , 18 , 36 respectively when the value of y is 0, 6, 12.
For more details follow the link:
https://brainly.com/question/11897796
How many solutions does the equation 3x + 6 =- 1 - 3 + 4x have?
TWO
Zero
One
Infinitely many
Answer:
one solution
Step-by-step explanation:
3x + 6 =- 1 - 3 + 4x
Subtract 3x from each side
3x-3x + 6 =- 1 - 3 + 4x -3x
6 = -4+x
Add 4 to each side
6+4 = -4+4+x
10 =x
One solution
Answer:
The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.
Step-by-step explanation:
The answer is one solution. Graph the line, and you will see that it is an infinite vertical line that goes through the x-axis at x=10. It only goes through the x-axis once, at x=10, so the answer is one solution.