Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the counter is red. The other side is yellow. She performs this experiment 80 times. The relative frequency of tossing red and spinning a number greater than three was 25 . What is the difference between the number of expected outcomes and the number of actual outcomes?
Answer:
The difference between the number of expected outcomes and the number of actual outcomes = 5
Step-by-step explanation:
She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.
Probability of the counter landing on either of the two sides is exactly = (1/2)
Probability of the counter landing on the red side = (1/2)
Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6. = (3/6) = (1/2)
In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 = p = (1/2)×(1/2)
p = (1/4)
Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials
= np = 80 × (1/4) = 20
Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25
The difference between the number of expected outcomes and the number of actual outcomes = 25 - 20 = 5
Hope this Helps!!!
2. Use the image below to answer the question.
D
E
F
Using the segment addition postulate, find the length of segment EF.
Answer:
26
Step-by-step explanation:
I subtracted DF and DE to find the missing difference for the segment EF. I'm not sure if this is correct though. I hope it helps.
The length of line segment EF is 26.
What is a line segment ?A line segment is a subset of a line which has two endpoints.
A ray has one end point and extends indefinitely on the other direction.
A line extends indefinitely on both of it's directions.
From the given data
Line segment DF has a length 38 and line segment DE has a length 12.
To find the length of line segment EF we have to subtract the length of line segment DE from length segment DF.
∴ EF = DF - DE
EF = 38 - 12'
EF = 26.
So, the line segment EF has a length of 26.
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Which of the following is a solution to this inequality? Y<2/3x+2
(0,3)
(-3,1)
(3,5)
(1,2)
Answer:
(1,2)
Step-by-step explanation:
I graphed the inequality on the graph below and found which answer was a solution.
If this answer is correct, please make me Brainliest!
1/2 +2/6
A)
1
_
6
B)
3
_
8
C)
5
_
6
D)
5
_
5
So the right answer is 5/6.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex] \frac{5}{6} [/tex]
Answer C is correct.Step-by-step explanation:
[tex] \frac{1}{2} + \frac{2}{6} \\ \frac{6 + 4}{6 \times 2} \\ \frac{10}{12} \frac{ \div 2}{ \div 2} \\ = \frac{5}{6} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Please help with this
Answer:
C. [tex]c = \frac{-7+-\sqrt{129} }{8}[/tex]
Step-by-step explanation:
Before we start, you can think of the variable "c," as x.
The quadratic formula/equation is:
[tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
The setup is:
[tex]ax^2+bx+c=0[/tex]
[tex]4c^2+7c-5=0[/tex]
Plug in the numbers accordingly to the letter associated, like so:
[tex]x = \frac{-7+-\sqrt{7^2-4(4)(-5)} }{2(4)}[/tex]
[tex]x = \frac{-7+-\sqrt{49+80} }{8}[/tex]
[tex]x = \frac{-7+-\sqrt{129} }{8}[/tex]
Which of the following properly describe “slope”?
Answer:
#3 1/2
Step-by-step explanation:
if you start where the line and the boxes in the graph line up like at (0,-2) and then you go up 1 and right 2 the line will be there again line up with the boxes and since slope is rise/run it is 1/2
Classify the following triangle as acute, obtuse, or right.
40°
90°
50"
O A. Acute
O B. Right
O C. Obtuse
D. None of these
Answer:
B. 90
Step-by-step explanation:
In a triangle if one of the angle is 90 deg the triangle is said to be a RIGHT ANGLED TRIANGLE.
Hope this helps, Pls Mark me as Brainliest!!!
Given triangle is a right-angle triangle. option B is correct.
What are the properties of Triangle?The properties of the triangle are:
1. The sum of all the angles of a triangle (of all types) is equal to 180°.
2. The sum of the length of the two sides of a triangle is greater than the length of the third side.
3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
A triangle is said to have a right angle if one of its angles is precisely 90 degrees. There are several techniques to spot a right angle triangle, including:
Take a look at the icon: A little square positioned in the corner of an angle serves as the symbol in geometry for a right angle. If you observe this symbol in one of a triangle's angles, the triangle is a right-angle triangle since the angle is a right angle.Another technique to tell if a triangle has right angles is to measure the angles with a protractor. The triangle is a right-angle triangle if one of the angles is exactly 90 degrees.Use the Pythagorean Theorem: The Pythagorean Theorem states that in a right-angle triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.Therefor, the given triangle is a right-angle triangle.
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Sophia invests 12,500 in an account that earns 4% annual simple intrest. Assuming she makes no addititonal deposits or withdraws, how much intrest will Sophia earnafter 3 years?
Answer:
$3,125
Step-by-step explanation:
Answer:
1440
Step-by-step explanation:
Anna takes 2 minutes to perform each exercise of her workout routine at the gym. She has already been at the gym for 20 minutes and wishes to be there no longer than 1 hour in total. Anna wonders if she has time to do 18 more exercises.
(1.) Write an inequality to find the maximum number of exercises x Anna can perform without leaving the gym later than she planned.
(2.) Does Anna have time to do 18 more exercises. Explain.
Answer:
1. 20 + 2x ≤ 60
2. Yes, see explanation
Step-by-step explanation:
Let x equal the amount of exercises Anna can perform.
The inequality will look like this:
20 + 2x ≤ 60
Let's go over each of the values and why there in the equation.
20: The amount of minutes Anna has already spent in the gym
2: The amount of minutes per exercise
x: The amount of exercises Anna can perform
≤: The amount of exercises must be less than or equal to the amount of time Anna is willing to spend in the gym.
60: The amount of minutes in an hour; the amount of time Anna is willing to spend at the gym.
Now, plug in 18 for x for question 2.
20 + 2(18) ≤ 60
Evaluating 2*18, the inequality becomes 20 + 36 ≤ 60.
Evaluating 20 + 36, the inequality becomes 56 ≤ 60.
Since 56 is less than 60, we can determine that Anna has time to do 18 more exercises.
the town libary is raising money by selling old books for 4$ each write an equation that can be used to find the amount of money raised if the number of books sold is known.Let x represent the number of books sold and y represent the amount raised.
Answer:
6550
Step-by-step explanation:
You can put this solution on YOUR website!
Call the number of hardcover and paperback books, h and p.
Thus
h + p = 8 and the value equation is
4h + 2p = 26
Now multiply the top one by four and subtract from the second one...we get
4h + 2p = 26
-(4h + 4p = 32)
----------------
-2p = -6
p = 3 so that
h = 5 x + y = 8, (1)
4x + 2y = 26, (2)
where x and y are the numbers of hardcover and softcover books respectively.
To solve, multiply the equation (1) by 2 (both sides) and then distract it from the equation (2). You will get
4x - 2x = 26 - 16, or
2x = 10, or x = 5 - the number of hardcover books purchased.
Then from the equation (1) you get y = 3.
Check. 4*x + 2*3 = 4*5 + 2*3 = 26. OK.
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Which could be the missing data item for the given set of data if the
median of the complete data set is 50?
21 23 60 60 50 54 54 59 26 15 43 15
OA) 18
OB) 24
OC) 45
OD) 57
Answer:
It is D, and or 57
Step-by-step explanation:
A bag contains 28 marbles: 9 black, 14 red, and 5 blue. A marble is drawn from the bag at random.
What is the probability of getting a red or blue marble? Write answer as SIMPLIFIED FRACTION.
ASAP
Answer:
steps
1) 14/28 to convert to a percent you have to first divide the numerator from the demoninator and then you multiply by 100 and you get get %50 (you could had known bc 14 is half of 28)
2) 5/28 do the same thing as the first step and get %17.85
-Feel free to ask for more help :)
PLEASE HELP ITS A GRADE I WILL GIVE 5 STARS AND BRAINLIEST !!!! :)
Answer: 1 i think is option b, 2 i think is option c, page 2, question 1 i think is option b, question 2 i think is option a, page 3, question 1 i think is option a or b, and the last one i think is option c
Step-by-step explanation: i cant figure out others
How to do the problem and what the answer is this thing is due today(30 points!)
Answer:
40°
Step-by-step explanation:
complementary angels makes the sum of two angles = 90°
so
<ABC + < CBD = 90°
if <ABC = 50°
then 90° - 50° = 40°
How many one-third cubes are needed to fill the gap in the prism shown below?
MATH EASY AND MARK BRAINLIEST
A prism has a length of 4 and two-thirds, height of 2, and width of 4. 16 blocks are inside of the prism.
4
8
16
24
Answer:
D.24
hope i helped :D
Answer:
16
Step-by-step explanation:
Which number is divisible by 5
A 44
B 125
C 116
D 114
Answer:
B
Step-by-step explanation:
Giving Brainliest if correct!!
Marcus realized that he misplaced his credit card and that it may have been stolen. He was worried that it could be misused. He called the credit
card company and notified them that the card had been misplaced. A few hours later, he got a text message stating that a purchase of $1,650
had been made using his card. He called the credit card company again and reported this fraudulent transaction. He also informed them that he
had notified them the card was missing before the fraudulent transaction was made. The credit card company official reassured Marcus that he would not have to pay this amount. Which law protects Marcus in this scenario?
A. Federal Trade Commission Act
B. Fair Debt Collection Practices Act
C. Fair Credit Billing Act
D. Dodd-Frank Wall Street Reform and Consumer Protection Act
Answer:
C. Fair Credit Billing Act
Step-by-step explanation:PLATO
wil give bianleast
Find the first term in the pattern with the formula: 40 • 6n – 1.
40
0
1440
240
Step-by-step explanation:
I think 40 should be the first term in the sequence because it is given 40.. 6n - 1
Solve the equation for all values of x by completing the square.
3x^2-60x+255=0
Answer:
x=5 and x=15
Step-by-step explanation:
3x^2-60x+225=0
3x^2-60x+225/3=0/3
x^2-20x+75=0
x^2-5x-15x+75=0
x(x-5)-15(x-5)=0
(x-5)(x-15)=0
x-5=0 x-15=0
x=5 x=15
If g(x) = x^2, find g (3)
Answer:
g(3)=9
Step-by-step explanation:
We want to find what g(x), or y is, when x is equal to 3.
Therefore, we can substitute 3 in for x in the equation
g(x)=x^2
g(3)=3^2
Evaluate the exponent
g(3)=3*3
g(3)=9
A 90% confidence interval for a proportion is found to be (0.22, 0.28). What is
the sample proportion?
Answer:
The sample proportion is 0.253.
Step-by-step explanation:
We are given that a 90% confidence interval for a proportion is found to be (0.22, 0.28).
Firstly, as we know that the confidence interval for sample proportion is calculated as;
90% confidence interval = Sample proportion [tex]\pm[/tex] Margin of Error
Here, let [tex]\hat p[/tex] = sample proportion
Also, the level of significance = 1 - 0.90 = 0.10 or 10%
And, the critical value of z at 5% (two-sided) level of significance is 1.645.
So, 90% confidence interval = [tex]\hat p \pm 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
(0.22 , 0.28) = [tex]\hat p \pm 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
This means;
0.22 = [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex] -------------- [Equation 1]
0.28 = [tex]\hat p + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex] -------------- [Equation 2]
From equation 1 and 2, we get;
[tex]0.22 + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }= 0.28 - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
[tex]1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} } + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }= 0.28 -0.22[/tex]
[tex]2 \times 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} } =0.06[/tex]
[tex]\sqrt{\frac{\hat p(1-\hat p)}{n} } =\frac{0.06}{2 \times 1.645}[/tex]
[tex]\sqrt{\frac{\hat p(1-\hat p)}{n} } =0.02[/tex]
Now, squaring both sides, we get;
[tex]{\frac{\hat p(1-\hat p)}{n} } =0.0004[/tex]
[tex]n ={\frac{\hat p(1-\hat p)}{0.0004} }[/tex]
Now, putting value of n in equation 1, we get;
0.22 = [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
0.22 = [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{\hat p(1-\hat p)}\times 0.0004 }[/tex]
0.22 = [tex]\hat p - 1.645 \times \sqrt{ 0.0004 }[/tex]
0.22 = [tex]\hat p -( 1.645 \times 0.02)[/tex]
0.22 = [tex]\hat p -0.033[/tex]
[tex]\hat p = 0.22 + 0.033[/tex] = 0.253
Therefore, the sample proportion [tex]\hat p[/tex] is 0.253.
A shop sells fence panels with a wooden frame going all the way round each panel. The price of each panel is based on the area of the panel and the length of the wooden frame around the panel.
Use the prices given given in the attachment to find out how much the shop charges per square metre of the panel and per metre for the wooden frame .
a) Each 1m² of fence panel costs:?
b) I metre of wooden frame costs:?
Plz answer this question.
Answer:
a) Each 1m² of fence panel costs: £2
b) I metre of wooden frame costs: £1
Step-by-step explanation:
Let the price of 1 sq.m. of fence panel be x
Let the price of 1 m of wooden frame be y
In Fig 1
Length = 4 m
Breadth = 3 m
Area =[tex]Length \times breadth = 4 \times 3 = 12 sq.m.[/tex]
Cost of 1 sq.m. = x
Cost of 12 sq.m. = 12x
Perimeter =2(l+b)=2(4+3)=14 m
Cost of 1 m of wooden frame = y
Cost of 14 m of wooden frame = 14y
We are given that total cost of framing and fencing is 38
So. 12x+14y=38 ----1
In Fig 2
Length = 6 m
Breadth = 2 m
Area =[tex]Length \times breadth = 6 \times 2 = 12 sq.m[/tex].
Cost of 1 sq.m. = x
Cost of 12 sq.m. = 12x
Perimeter =2(l+b)=2(6+2)=16 m
Cost of 1 m of wooden frame = y
Cost of 16 m of wooden frame = 16y
We are given that total cost of framing and fencing is 40
So. 12x+16y=40---2
Substitute the value of 12x form 1 in 2
38-14y+16y=40
2y=2
y=1
Substitute the value of y in 2
12x+16=40
12x=24
x=2
So, cost of 1 sq.m. of fence panel is 2 and cost of 1 m of wooden frame is 1
In fig 3
To verify :
Length = 3 m
Breadth = 5 m
Area = [tex]Length \times breadth = 3 \times 5 = 15 sq.m.[/tex]
Cost of 1 sq.m. = 2
Cost of 12 sq.m. =[tex]15 \times 2 = 30[/tex]
Perimeter =2(l+b)=2(3+5)=16 m
Cost of 1 m of wooden frame = 1
Cost of 16 m of wooden frame = 16
So, Total cost = 30+16=46
We are given that cost of fencing and framing is 46
Thus verified
Hence
a) Each 1m² of fence panel costs: £2
b) I metre of wooden frame costs: £1
Help!!! On a piece of paper graph then determine which answer choice matches the graph you drew
Answer:
C
Step-by-step explanation:
You read piece wise as
2 turns on at x = -5, then turns off at x = - 1 and so on
The dimensions of a figure are doubled, how many times larger will the volume be? Only enter numerical answers
Answer:if you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).
Step-by-step explanation:
Scale factor are used to increase or diminish the original figrure. The new volume will be 8times larger than the initial volum
Scale factorsScale factor are used to increase or diminish the original figrure.
Assume the original dimension of the figure is a, b and c, the volume of te figure will be expresed as:
A = length * width * heiht
A = abc
If the measure of the sides are doubled, hence;
New volume = 2a * 2b * 2c
New volume = 8abc
Ratio = 8abc/abc
Ratio = 8
Hence the new volume will be 8times larger than the initial volume
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Find the area. Will mark brainliest
Answer:
54 sq in.
Step-by-step explanation: 9x12= 108 108 divided by 2 = 54
so yeah
Jay borrows $8,000 at a rate of 1.9% interest per year. What is the amount due at the end of 6 years if the interest is compounded continuously?
$8,965.21
$10,027.21
$8,966.02
$25,014.15
Pleeeease show your work on how you solved it because I keep getting 8,962.90 which isn't an option and last time I asked this question, no one explained how to solve it
Interest formula: A = Pe^rt
A = amount
P = principal amount
r = interest rate
t = time
We know that in the question we have:
P = 8,000
r = 0.019
t = 6
Now, solve with the given values:
A = 8000e^(0.019*6)
A = 8000e^(0.114)
A = 8966.016...
Round to the nearest hundredth:
8966.016... → 8,966.02
Therefore, the answer is [ $8,966.02 ]
Best of Luck!
Answer:
$8,966.02
Step-by-step explanation:
Amount = 8000 × e^(6 × 1.9/100)
Amount = 8000 × e^0.114
Amount = 8966.016999
Write the expression: 3 divided by the sum of x and 9. A) 3 + 9 x B) x 3 + 9 C) x + 9 3 D) 3 x + 9
Solve this equation for x. Round your answer to
the nearest hundredth.
0 = In(x + 7)
Answer:
x = -6
Step-by-step explanation:
0 = In(x + 7)
x + 7 = e⁰
x + 7 = 1
x = 1 - 7
x = -6
Steps to solve:
0 = In(x + 7)
~Log definition
e^0 = x + 7
~Simplify
1 = x + 7
~Solve for x
1 - 7 = x + 7 - 7
-6 = x
Therefore, the answer is x = -6
Best of Luck!
−2y<8
y<−8
y<−4
y>−8
y>−4
Answer:
y > -4
Step-by-step explanation:
−2y<8
Divide each side by -2, remembering to flip the inequality since we are dividing by a negative
-2y/-2 > 8/-2
y > -4
Answer:
Last option
y > -4
Step-by-step explanation:
-2y < 8
Switch sides
-8 < 2y
-4 < y
Or
y > -4
