Step-by-step explanation:
1.
when 3 coins are flipped the following outcomes are possible
h = heads, t = tails
h h h
h h t
h t h
h t t
t h h
t h t
t t h
t t t
yes, there have to be 8 options, because we have 3 positions with 2 possible outcomes. that means
2×2×2 = 2³ = 8 possibilities.
2.
at least 2 tails means 2 or 3 t in the list item :
h t t
t h t
t t h
t t t
3.
so, 4 out of the 8 possible outcomes. the probability is then therefore
4/8 = 1/2 = 0.5
The price of a certain computer stock t days after it is issued for sale is p ( t ) = 100 + 20t − 3t^2 dollars. The price of the stock initially rises, but eventually begins to fall. During what period of time does the stock price rise? 0 ≤ t ≤ If you owned the stock, after how many days would you sell it? days
The period of time does the stock price rise is 0 ≤ t ≤ 10/3.
It would sell in 3.34 days.
What is differentiation?It is the process of finding the derivative, or rate of change, of a function.
The price of a certain computer stock after t days is
p(t) = 100 + 20t - 3t²
Now, take the derivative of the given function and equate it to zero to find the critical points,
p'(t) = 20 - 6t = 0
t = 20/6
t = 10/3 days
Thus, there are two intervals in which the given function is defined
(0, 10/3) and (10/3, ∞)
For the interval (0,10/3 ),
p'(1) = 20 - 6(1) =14
For the interval (10/3, ∞),
p'(2) = 20 - 6(2) = 8
Since p'(t) in the interval (0, 10/3) indicates that the function is increasing.
0 < t <10/3
Since at the point t = 3.34 days it would sell.
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According to the line plot, what is the total amount of time the students spent studying?
3 1/2 hours
10 hours
4 1/4 hours
5 1/4 hours
The total amount of time spent by the student as shown by the line plot is: D. 5 ¼ hours.
How to Find Total Amount in a Line Plot?Each dot or x-mark represents a value. To find the total, add each of the data points given in the line plot.
Total amount of time is:
2(1/4) + 5(1/2) + 3(3/4)
= 1/2 + 5/2 + 9/4
= (2 + 10 + 9)/4
= 21/4
= 5 ¼ hours.
Total time spent by students is: D. 5 ¼ hours.
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[tex](sinx^{2} theta)\frac{x}{y}(1+costheata)[/tex]
The result of expanding the trigonometry expression [tex]\sin^2(\theta) * (1 + \cos(\theta))[/tex] is [tex]cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)[/tex]
How to evaluate the expression?The expression is given as:
[tex]\sin^2(\theta) * (1 + \cos(\theta))[/tex]
Express [tex]\sin^2(\theta)[/tex] as [tex]1 - \cos^2(\theta)[/tex].
So, we have:
[tex]\sin^2(\theta) * (1 + \cos(\theta)) = (1- \cos^2(\theta)) * (1 + \cos(\theta))[/tex]
Open the bracket
[tex]\sin^2(\theta) * (1 + \cos(\theta)) = 1 + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)[/tex]
Express 1 as cos°(Ф)
[tex]\sin^2(\theta) * (1 + \cos(\theta)) = cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)[/tex]
Hence, the result of expanding the trigonometry expression [tex]\sin^2(\theta) * (1 + \cos(\theta))[/tex] is [tex]cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)[/tex]
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At the beach, Cody saw 4 times as many
seagulls as pelicans. If there were a total of 30
birds, how many birds were pelicans?
Answer:
6 pelicans
Step-by-step explanation:
Let x = number of pelicans
Cody saw 4 times as many seagulls as pelicans:
⇒ number of seagulls = 4x
Total of 30 birds:
⇒ seagulls + pelicans = 30
⇒ 4x + x = 30
⇒ 5x = 30
⇒ x = 6
Therefore, there were 6 pelicans (and 24 seagulls).
ATQ
y+4y=305y=30y=6Pellicans are 6
What do u know about Trigonometry in grade 11
Answer:
A lot
Step-by-step explanation:
So basically you learn a lot
what is the answer??
Answer:
76 unit^2
Step-by-step explanation:
Total area: (0.5 * base * height) +( length * breadth ) + (0.5 * base * height)
= (0.5 * 8 * 2) + ( 7*8) +( 0.5 * 8 * 3) = 8 + 56 + 12 = 76
Part A: The length of two sides of a triangle are:
Side 1:
Side 2:
The perimeter of the triangle is
Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (7 points)
Part B: What is the length of the third side of the triangle? Show your work. (7 points)
Part A: The total length of the two sides, 1 and 2, of the triangle is 10x² + 14x - 8
Part B: The length of the third side of the triangle is 10x³ -2x² - 16x + 2
Calculating the sides of a triangleFrom the given information,
The length of side 1 is
6x² - 4x - 2
and the length of side 2 is
18x + 4x² - 6
Part A
The total length of the two sides, 1 and 2, of the triangle will be
Length of side 1 + Length of side 2
That is,
6x² - 4x - 2 + 18x + 4x² - 6
This becomes,
6x² + 4x² + 18x - 4x - 2 - 6
10x² + 14x - 8
Therefore, the total length of the two sides, 1 and 2, of the triangle is 10x² + 14x - 8
Part B
The length of the third side will be
Perimeter of the triangle - the total length of sides 1 and 2
From the given information,
The perimeter of the triangle is 10x³ + 8x² - 2x - 6
Then,
Length of third side = 10x³ + 8x² - 2x - 6 - (10x² + 14x - 8)
Length of third side = 10x³ + 8x² - 2x - 6 - 10x² - 14x + 8
Length of third side = 10x³ + 8x² - 10x² - 2x - 14x - 6 + 8
Length of third side = 10x³ -2x² - 16x + 2
Hence, the length of the third side of the triangle is 10x³ -2x² - 16x + 2
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If you flipped 2 coins, what is the probability that both will land on tails?
3/4
0/4
1/4
1/2
The probability of getting exactly two tail is 1/4.
Reason abstractly. A square has vertices at (3,8),(3,2),(9,8), and (9,2). Determine the area.
Answer:
The area is 9 units^2
Step-by-step explanation:
solution for this one step by step please
Answer:
[tex]D.\:\:\:\:\:\sec^4\theta[/tex]
Step-by-step explanation:
[tex]\frac{1+\tan^2\theta}{\cos^2\theta}[/tex][tex]=\frac{\sec^2\theta}{\cos^2\theta}\:\:\:(\because 1+\tan^2\theta=\sec^2\theta)[/tex][tex]=\sec^2\theta.\frac{1}{\cos^2\theta}[/tex][tex]{=\sec^2\theta.{\sec^2\theta}}\:\:\:(\because\frac{1}{\cos^2\theta}=\sec^2\theta)[/tex][tex]=\sec^4\theta[/tex]Hope it helps you in your learning process.
Answer:
D
Step-by-step explanation:
using the identities
1 + tan²Θ = sec²Θ and cosΘ = [tex]\frac{1}{sec0}[/tex] , then
[tex]\frac{1+tan^20}{cos^20}[/tex]
= [tex]\frac{sec^20}{\frac{1}{sec^20} }[/tex]
= sec²Θ × sec²Θ
= [tex]sec^{4}[/tex]Θ
how much is 27.99$ with 25% extra
Answer:
34.98
Simply add the 27.99 with 25%
= 34.98
In the following function defined by an equation in the form y = a x squared + b x + c, identify the values of a, b, and c.
y = 5 x squared + 2 x minus 1
a.
a = negative 1, b = 2, c = 5
b.
a = negative 2, b = 5, c = 1
c.
a = 1, b = 5, c = 2
d.
a = 5, b = 2, c = negative 1
The correct answer is option D which is a = 5, b = 2, c = - 1.
What is a quadratic equation?It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that:-
y = 5x² + 2x - 1The general form of the equation is given as:-
Y = ax² + bx + c
We have a quadratic equation:-
y = 5x² + 2x - 1
By comparing the equation with the general form the value of a, b and c is calculated:-
a = 5
b = 2
c = -1
Therefore the correct answer is option D which is a = 5, b = 2, c = - 1.
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solve the inequality:
0.2(x + 20) – 3 > –7 – 6.2x
Answer:
[tex]\huge\boxed{\sf x > -1.25}[/tex]
Step-by-step explanation:
Given inequality:0.2 (x + 20) - 3 > -7 - 6.2x
Distribute
0.2x + 4 - 3 > -7 - 6.2x
0.2x + 1 > -7 - 6.2x
Add 6.2x to both sides
0.2x + 6.2x + 1 > -7
6.4x + 1 > -7
Subtract 1 to both sides
6.4x > -7 - 1
6.4x > -8
Divide 6.4 to both sides
x > -8/6.4
x > -1.25
[tex]\rule[225]{225}{2}[/tex]
Answer:
x > -1.25
Step-by-step explanation:
Using the distributive property: a(b + c) → ab + ac
1. Distribute '0.2'
0.2(x) + 0.2(20) - 3 > -7 - 6.2x
0.2x + 4 - 3 > -7 - 6.2x
0.2x + 1 > -7 - 6.2x
2. Add '6.2x' to both sides
0.2x + 6.2x + 1 > -7 - 6.2x + 6.2x
6.4x + 1 > -7
3. Subtract '1' from both sides
6.4x + 1 - 1 > -7 - 1
6.4x > -8
4. Divide both sides by '6.4' to isolate the variable
6.4x ÷ 6.4 > -8 ÷ 6.4
x > -1.25
Final answer: x > -1.25
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Simplify the expression---5x-2y + 3x + 2y
(100 points)
Combine like terms
5x+3x-2y+2y(5+3)x+(-2+2)y8x+08xAnswer:
8x
Step-by-step explanation:
Given expression:
[tex]5x - 2y + 3x + 2y[/tex]As we know, any negative integer being added by itself is 0. [-2y + 2y = 0]
[tex]\implies 5x - 2y + 3x + 2y[/tex][tex]\implies 5x + 3x + 0[/tex]Collect like terms and simplify;
[tex]\implies 5x + 3x + 0[/tex][tex]\implies x(5 + 3) + 0[/tex][tex]\implies x(8) + 0 = \boxed{8x}[/tex]Therefore, 8x is the simplified term.
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Select the reason that best supports Statement 8 in the given proof.
A. Addition Property of Equality
B. Division Property of Equality
C. Substitution
D. Subtraction Property of Equality
Given: Ray BV bisects
Statement 8 (x = 10/5 or x = 2) is given by the division property of equality. Then the correct option is B.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
Suppose that we're taking about
It means, we divide p into q equal parts.
And each part is of value p/q
Statement 7 is given below.
5x - 10 = 0
Then statement 8 is given by the division property of equality.
5x = 10
x = 10/5
x = 2
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Please Help! Brainliest is available to the best Answer!
Which of the following correlation coefficients best represent the given scatter plot
Answer:
C
Step-by-step explanation:
Evaluating the options :
a : 0.01
Not the likely option because it is very close to 0, indicating there is no correlrationBut from the graph we understand there is a positive correlationSo, it comes down to :
(b) 0.51 or (c) 0.98
If we try and plot a line of best fit, we will obtain a line that passes through the origin and seems similar to y = x.
Hence, the best option is C
Question 10 of 10
In order to solve the following system of equations by subtraction, which of
the following could you do before subtracting the equations so that one
variable will be eliminated when you subtract them?
4x - 2y=7
3x - 3y=15
A. Multiply the top equation by 15 and the bottom equation by 7.
B. Multiply the top equation by-3 and the bottom equation by 2.
O C. Multiply the top equation by 3 and the bottom equation by 4.
Can someone help me
Answer:
B. Multiply the top equation by-3 and the bottom equation by 2.
Step-by-step explanation:
-3(4x-2y=7)
2(3x-3y=15)
-12x + 6y= -21
6x - 6y = 30
6y and -6y both cancel each other out which gives us 0 when -3 is multiplied by the top and the bottom is multiplied by 2, which gives us the answer B.
Consider the sequence of steps to solve the equation: 3(x - 4) + 5x = 9x - 36
Given = 3(x - 4) + 5x = 9x - 36
Step 1 = 3x - 12 + 5x = 9x - 36
Step 2 = 3x + 5x - 12 = 9x - 36
Step 3 =› 8x - 12 = 9x - 36
Step 4 => 8x - 8x - 12 = 9x - 8x - 36
Step 5 = 0 - 12 = x - 36
Step 6 = -12 = x - 36
Step 7 = -12 + 36 = x - 36 + 36
Step 8 = 24 = x + 0
Step 9 = 24 = x
Which property yields Step 7?
Answer:
adding equal no. to both sides of the equation
2 How many 1.2-kg books can you pack into a suitcase so that the total weight does not exceed 36 kg?
Answer:
30 books
Step-by-step explanation:
36 / 1.2 = 30
You can pack 30 books and it will not exceed 36 Kg.
- - -
Side Note:
We don't know how heavy the suitcase is...
What is the square root of 9
Please answer, thank you. Image below.
I need to find the missing angle. The letter represents the missing angle
Answer:
Top Image: 56°
Bottom Image: 134°
Step-by-step explanation:
I'm not sure which image you have a question on, so I'll just solve both.
Top Image:
We know that the sum of the angles will add up to 180 and that the angles of the triangle are f, f, and 68°. Therefore, we can set up the following equation:
f + f + 68° = 180°
Solving this gets f = 56°
Bottom Image:
We know that the sum of the angles will add up to 180 and that the angles of the triangle are 23°, 23°, and g. Therefore, we can set up the following equation:
23° + 23° + g = 180°
Solving this gets g = 134°
The most popular roller
coaster has room for 12
riders. They are colored
as below. Answer the
questions based on the
coaster train.
What’s the probability that a rider won’t ride in a red seat?
4/12 chance of dying
Suppose the lengths of 3-year-old cats are normally distributed with a mean of 30 inches and a
standard deviation of 2.92 inches. Find each of the following:
1. The percent of cats between 24.16 and 35.84
2. The percent of cats who are longer than 35.84
3. The percent of cats shorter than 24.16 inches
1. The percent of cats between 24.16 and 35.84 is 95%
2. The percent of cats who are longer than 35.84 is 2.28 %
3. The percent of cats shorter than 24.16 inches is 2.28%
What is the empirical rule formula in statistics?The empirical rule - formula
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Mean, u = 30 inches
Standard Deviation, s = 2.92 inches
Formula for z-score = (x-u)/s
1. We have to find the percent of cats between 24.16 and 35.84 inches.
24.16, z-score = -2
35.84, z-score = 2
According to the empirical rule,
95% of the data values are within 2 standard deviations of the mean.
So, 95% of the cats are between 24.16 and 35.84 inches.
2. Here, x = 35.84
z=(35.84-30)/2.92
z= 2
According to the Empirical Rule,
95% of the values lie within 2 standard deviations of the mean.
So, the percent of cats who are longer than 35.84
100 - 97.72 = 2.28%
3. Now, x = 36.22
Using the formula mentioned above, we get:
z= 24.16-30/2.92
z=-2
According to empirical rule,
68% of the values lie within 1 standard deviation of the mean.
i.e., remaining 32% are outside the 1 standard deviation and half of the values i.e. 16% are below 1 standard deviation.
The percent of cats shorter than 24.16 inches is 2.28%
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Given
μ = 30 inσ = 2.92 inFind z-scores for x = 24.16 and x = 35.84
Use formula
z = (x - μ)/σ 1) z = (24.16 - 30)/2.92 = - 22) z = (35.84 - 30)/2.92 = 2Find the corresponding percentage from z-score table
z = - 2 ⇒ 2.28%z = 2 ⇒ 97.72%Now find the answers#1The percent of cats between 24.16 and 35.84
97.72 - 2.28 = 95.44%#2The percent of cats who are longer than 35.84
100 - 97.72 = 2.28%#3The percent of cats shorter than 24.16 inches
2.28%Find the Product:
0.2 x 0.3
Answer:
0.06
Step-by-step explanation:
The product of 2 numbers means that we have to multiply them.
So, we do 0.2 x 0.3 = 0.06
To do this, we convert the decimal fractions into whole numbers by multiply both by 10.
ie. 0.2 x 10 = 2
and
0.3 x 10 = 3
Now multiply together
2 x 3 = 6.
However, we have to remember that we multiplied both numbers by 10 (ie. 10 x 10 = 100) so we must remember to divide the answer by 100
...0.06
Hope this helps!
- profparis
Answer:
=0.06
Step-by-step explanation:
0.2
× 0.3
= 0.06
therefore the answer is 0.06
A graph that uses bars of various heights to represent the frequencies.
a. Histogram
b. Pie graph
c. Bar graph
d. Picto graph
A graph that uses bars of various heights to represent the frequencies is a Histogram
A histogram is an approximate representation of the distribution of numerical data. The term was first introduced by Karl Pearson. To construct a histogram, the first step is to "bin" (or "bucket") the range of values—that is, divide the entire range of values into a series of intervals—and then count how many values fall into each interval.
Therefore, a graph that uses bars of various heights to represent the frequencies is a Histogram
================================
[tex] \large \sf \underline{Question:}[/tex]
A graph that uses bars of various heights to represent the frequencies.
================================
[tex] \large \sf \underline{Answer:}[/tex]
[tex] \qquad \qquad \huge \bold{Option \: A}[/tex]
================================
[tex] \large \sf \underline{Explanation:}[/tex]
A graph that uses bars of various heights to represent the frequencies is called Histogram
A Histogram is typically a statistical schematic diagram which bars are displayed at random with no space interval. The bars of a Histogram are side-by-side, there are no spaces between the bars.
================================
help me help me help me help me help me help me help me help me
Answer:
Hope it help
Step-by-step explanation:
1. B
2. A
3. C
4. C
5. D
A person works and earns $3853 dollars but on a pay stub pays 49% to tax. What is the sales Tax?
Answer:
1887.97 (3853 * 0.49)
Step-by-step explanation:
3853 * 0.49
Scientists are tracking the population of a specific species of bird. They have determined that the function P(x) = 575 (1.025)x models the number of birds, P(x), after x years. Which of the following is true about the brid?
All of the following equations are true except?
Evaluate the expression below for x = 2.
3x+4 x-81-14
Answer:
I think that the answer is -81
Step-by-step explanation:
We have 3x+4x-81-14 x is given as 2.So we'll have 3*2+4*2-81-14= -81 per my calculations. TRY THIS