The number line is shown in figure.
What is Number line?
Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
Stock in Boomer Branding, Inc. started the week at $26.50 per share.
During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25)
Now,
Since, During the week, the following changes in the share price were registered. (+$2.75),(+$3.00),(−$9.25),(+$1.50),(−$5.25)
Hence, All the number is shown in figure on that place.
Thus, The number line is shown in figure.
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The cell phone Alvin wants to buy is on sale for $40 off. The discount is 25% off of the original price. What is the original price of the cell phone?
Answer:
50
Step-by-step explanation:
40+25%=50
The circle graph describes the distribution of preferred transportation methods from a sample of 300 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Bus is the preferred transportation for 25 residents.
Bicycle is the preferred transportation for 48 residents.
Together, Streetcar and Cable Car are the preferred transportation for 42 residents.
Together, Walk and Streetcar are the preferred transportation for 165 residents.
The correct conclusion that can be drawn from the circle graph is given as follows:
Together, Walk and Streetcar are the preferred transportation for 165 residents.
What is shown by a circle graph?A circle graph, also known as a pie chart, is used to represent data as a circle divided into sectors, where each sector represents a portion of the whole. The size of each sector is proportional to the percentage of the whole that it represents.
Out of 300 residents, the percentages and amounts are given as follows:
Walk: 40% -> 0.4 x 300 = 120 residents.Bicycle: 8% -> 0.08 x 300 = 24 residents.Streetcar: 15% -> 0.15 x 300 = 45 residents.Bus: 10% -> 0.1 x 300 = 30 residents.Cable car: 27% -> 0.27 x 300 = 81 residents.Hence the last option gives the correct option in the context of the problem.
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(ii) the position of a ball rolling in a straight line is given by x = 2.0 - 3.6 t 1.1 t 2 , where x is in meters and t in seconds.
The position of the ball at t = 2 seconds is -0.8 meters.
The position of a ball rolling in a straight line is given by the equation x = 2.0 - 3.6t + 1.1t^2, where x is the position in meters and t is the time in seconds. To find the position of the ball at a specific time, we can plug in the value of t into the equation and solve for x.
For example, if we want to find the position of the ball at t = 2 seconds, we can plug in 2 for t and solve for x:
x = 2.0 - 3.6(2) + 1.1(2)^2
x = 2.0 - 7.2 + 4.4
x = -0.8
Therefore, the position of the ball at t = 2 seconds is -0.8 meters.
Similarly, we can plug in any value of t into the equation to find the position of the ball at that specific time.
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-8z+12=-12
plz help asap
what is the answer
and what does z stand for??!??
Answer:
z is a variable so it can be any number.
z=-3
if you do -8 times -3 that equals 24.
the answer is -3
Step-by-step explanation:
Answer:
z stands for 3.
Step-by-step explanation:
First, subtract 12 from both sides.
-8z + 12 - 12 = -12 - 12
-8z = -24
Next, let's put brackets [] between both numbers. Any number inside of these becomes positive.
[-8z] = [-24]
8z = 24
Finally, let's divide doth sides by 8!
8z/8 = 24/8
z = 3
−8tan 1+tan2x Use appropriate identities to rewrite the following expression in terms containing only first powers of sine
By using Pythagorean identities the expression can be written as
-8 (sin ( x ) + 1 -sin 2x)
The Pythagorean identity is an important identity in trigonometry derived from the Pythagorean theorem. These identities are used to solve many trigonometric problems where, given a trigonometric ratio, other ratios can be found. The basic Pythagorean identity, which gives the relationship between sin and cos, is the most commonly used Pythagorean identity:
sin2θ + cos2θ = 1 (gives the relationship between sin and cos)
There are two other Pythagorean identities as follows :
sec2θ - tan2θ = 1 (gives the relationship between sec and tan)
csc2θ - cot2θ = 1 (gives the relationship between csc and cot)
Given expression is:
-8tanx/ 1 +tan2x
we know that:
By the Pythagorean Theorem:
1 + tan²x = sec²x
and tan x = sin x/cos x
and, sec x = 1/cos x
Now, we can write as:
-8tanx / 1 +tan²x
= -8 tan x / sec²x
= -8 sin x /cos x ÷ 1/cos²x
= -8 sin x/cos x × cos²x/1
= -8 (sin ( x ) + 1 -sin 2x)
Complete Question:
Use appropriate identities to rewrite the following expression in terms containing only first powers of sine:
−8tan 1 + tan2x.
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Biological Grown If 5,000,000 bacteria are placed in a petri dish and the bacteria have a growth rate of r (a percent expressed as a decimal) per hour, then 1 hour later the amount of bacteria will be A = 5 , 000 , 000 + 5 , 000 , 000 r bacteria.
Factor the right side of the equation.
If r = 0.14 % , find the number of bacteria present after one hour
A = 5,700,000 bacteria
The equation for the amount of bacteria present after one hour is A = 5,000,000 + 5,000,000(0.14%) bacteria. After factoring, the equation is A = 5,000,000(1 + 0.14%) bacteria. Using the given percent, the equation is A = 5,000,000(1 + 0.0014) bacteria. Finally, the answer is A = 5,700,000 bacteria.
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which two ratios represent quantities that are proportional?
A. 3/5 and 13/10
B. 18/48 and 21/56
C. 20/28 and 15/18
D. 7/10 and 10/7
Answer:
B. 18/48 and 21/56
C. 20/28 and 15/18
Step-by-step explanation:
Simplifying 18/48 = 3/8
Simplifying 21/56 = 3/8
Simplifying 20/ 28= 5/7
Simplifying 15/18 = 5/7
Answer:
18/48 and 21/56
Step-by-step explanation:
plato
Find the perimeter of the polygon with the vertices $Q(-3,\ 2),\ R(1,\ 2),\ \ S(1,-2),$ and $T(-3,-2)$ .
Answer:
The perimeter is 16 units.
Step-by-step explanation:
Once you graph all the sides you can easily count and see the perimeter is 16. :)
marys florist charges $3 per rose and plus $35 for a delivery. sam bought a bunch of roses and delivered to his mom. which value is the cost?
a) $69
b) $70
c) $71
d) $72
I need help! Please answer in steps.
Answer:
Vertical distance = 410.7
Mean = 520.25
Step-by-step explanation:
Find the measure of ZBAD if m_BAD = 6x + 10º, mzB=3x - 10° and mzBCA= 5x +
90
Answer:
∠ BAD = 43°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ BAD is an exterior angle of the triangle, thus
∠ B + ∠ BCA = ∠ BAD , substitute values
3x - 10 + 5x + 9 = 6x + 10 , that is
8x - 1 = 6x + 10 ( subtract 6x from both sides )
2x - 1 = 10 ( add 1 to both sides )
2x = 11 ( divide both sides by 2 )
x = 5.5
Thus
∠ BAD = 6x + 10 = 6(5.5) + 10 = 33 + 10 = 43°
Use your calculator to find the trigonometric ratio sin 79°
Answer:
0.982
Step-by-step explanation:
Use your calculator to find the trigonometric ratio sin 79°
Answer: 0.982
12/1/2 - (-4/1/2) = xhwicuhwiquchqiuce
Answer:
17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
12/1/2 - (-4/1/2) becomes 12 1/2 + 4 1/2 after simplification. Note that 12/1/2 is invalid.
Combining 12 1/2 and 4 1/2 yields 17.
in math, what is 7 -5 ?
Answer:
2
Step-by-step explanation:
You have 7, and you take away five, which leaves you with 2
here is a drawing:
l l l l l l l
x x x x x l l
Figure A was translated 5 units left to create Figure B.
Figure B was reflected over the line y=1 to create Figure
C. Figure C was rotated 90 degrees clockwise around
the origin to create Figure D. Are Figure A and Figure D
congruent?
А A
Prove your answer using any tools and explain
reasoning in the box below:
10
Answer:
a
Step-by-step explanation:
calculate p(84 ≤ x ≤ 86) when n = 9.
The probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.
To calculate p(84 ≤ x ≤ 86) when n = 9, we first need to determine the distribution of the sample mean. Since the sample size is n = 9, we can use the central limit theorem to assume that the distribution of the sample mean is approximately normal with mean μ = 85 and standard deviation σ = σ/√n = σ/3, where σ is the population standard deviation.
Next, we need to standardize the values of 84 and 86 using the formula z = (x - μ) / (σ / √n). Plugging in the values, we get:
z(84) = (84 - 85) / (σ/3) = -1 / (σ/3)
z(86) = (86 - 85) / (σ/3) = 1 / (σ/3)
To calculate the probability between these two z-scores, we can use a standard normal table or a calculator with a normal distribution function. The probability can be expressed as:
P(-1/σ ≤ Z ≤ 1/σ) = Φ(1/σ) - Φ(-1/σ)
where Φ is the cumulative distribution function of the standard normal distribution.
Therefore, to calculate p(84 ≤ x ≤ 86) when n = 9, we need to determine the value of σ and use the formula above. If σ is known, we can plug in the value and calculate the probability. If σ is unknown, we need to estimate it using the sample standard deviation and replace it in the formula.
For example, if the sample standard deviation is s = 2, then σ = s * √n = 2 * √9 = 6. Plugging in this value in the formula, we get:
P(-1/6 ≤ Z ≤ 1/6) = Φ(1/6) - Φ(-1/6) = 0.2061 - 0.7939 = 0.5878
Therefore, the probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.
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Answer:
Step-by-step explanation:
The probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.
To calculate p(84 ≤ x ≤ 86) when n = 9, we first need to determine the distribution of the sample mean. Since the sample size is n = 9, we can use the central limit theorem to assume that the distribution of the sample mean is approximately normal with mean μ = 85 and standard deviation σ = σ/√n = σ/3, where σ is the population standard deviation.
Next, we need to standardize the values of 84 and 86 using the formula z = (x - μ) / (σ / √n). Plugging in the values, we get:
z(84) = (84 - 85) / (σ/3) = -1 / (σ/3)
z(86) = (86 - 85) / (σ/3) = 1 / (σ/3)
To calculate the probability between these two z-scores, we can use a standard normal table or a calculator with a normal distribution function. The probability can be expressed as:
P(-1/σ ≤ Z ≤ 1/σ) = Φ(1/σ) - Φ(-1/σ)
where Φ is the cumulative distribution function of the standard normal distribution.
Therefore, to calculate p(84 ≤ x ≤ 86) when n = 9, we need to determine the value of σ and use the formula above. If σ is known, we can plug in the value and calculate the probability. If σ is unknown, we need to estimate it using the sample standard deviation and replace it in the formula.
For example, if the sample standard deviation is s = 2, then σ = s * √n = 2 * √9 = 6. Plugging in this value in the formula, we get:
P(-1/6 ≤ Z ≤ 1/6) = Φ(1/6) - Φ(-1/6) = 0.2061 - 0.7939 = 0.5878
Therefore, the probability of observing a sample mean between 84 and 86 when n = 9 is approximately 0.5878.
like the z distribution, the tdf distribution is symmetric around 0, bell-shaped, and with tails that approach the horizontal axis and eventually cross it. group startstrue or false
False. The statement is incorrect. Unlike the z distribution, the t-distribution is not symmetric around 0, and its tails do not approach the horizontal axis and cross it.
The t-distribution is similar to the normal (z) distribution in the sense that it is bell-shaped. However, there are important differences. The t-distribution is not symmetric around 0 but is centered at 0. It has a shape that depends on its degrees of freedom (df). As the degrees of freedom increase, the t-distribution approaches the shape of the standard normal distribution (z-distribution).
The tails of the t-distribution are thicker than the tails of the z-distribution. The t-distribution has more probability in the tails, which means it has more extreme values compared to the z-distribution. As the degrees of freedom increase, the t-distribution approaches the normal distribution, and its tails become closer to the horizontal axis, but they do not cross it.
It's important to note that the shape and characteristics of the t-distribution are determined by the degrees of freedom. As the degrees of freedom increase, the t-distribution becomes more similar to the z-distribution. However, even with large degrees of freedom, the t-distribution will always have slightly thicker tails than the z-distribution.
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a)x/5=3
b)x/2=8.5
Find the value of x
Answer:
a. x=15
b. x=17
Step-by-step explanation:
Answer:
A) The equation "x/5=3" can be solved by multiplying both sides by 5 to get rid of the fraction. This gives us "x=15". So the value of x that makes the equation true is 15.
B) The equation "x/2=8.5" can be solved by multiplying both sides by 2 to get rid of the fraction. This gives us "x=17". So the value of x that makes the equation true is 17.
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Help!!!
a $52 item is marked up 10% and then markdown 10% what is the final price
Answer: $51.48
Step-by-step explanation:
If a $52 item is marked up by 10%, its new price will be:
$52 + 10% of $52 = $52 + $5.20 = $57.20
Then, if this new price is marked down by 10%, the final price will be:
$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48
Therefore, the final price of the item after the markup and markdown is $51.48.
In the soup can below, the height is approximately 538 inches and the diameter is 3 inches.
What is the area of the label if the combined lips of the can are 38 inches and there is about 12 inch of overlap for the glue.
If the can's combined lips measure 38 inches and the adhesive overlaps by around 12 inches, the label's surface area will be 50 square inches.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
Given data;
Height of can,\(\rm H=5 \frac{3}{8} \ inch\)
Height of label,
\(\rm h=5\frac{3}{8} -\frac{3}{8} \\\\ h= 5 \ inch\)
Diameter,\(\rm d= 3 \ inch\)
The area of the label is;
A = ( overlap area + circumfereence ) h
\(\rm A = [\frac{1}{2} + 2 \pi \times \frac{3}{2} ] \\\\ A =[ \frac{1+6\pi}{2} ] \times 5 \\\\ A = 49.6 \ inch^2\)
Hence, the label's surface area will be 50 square inches.
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strengths and limitations of visually interpreting histograms
Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.
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is 32.5 bigger or less than 150
Answer:
less
Step-by-step explanation:
Answer:
less than the answer is less then
The sum of x and 7 is less than -3
Answer:
\(x+7<-3\)
Step-by-step explanation:
Sum = +
Less than = <
Merge all together accordingly you get ;
\(x +7<-3\)
If you solve the equation , you will get;
x<-10
It is appropriate to use the uniform distribution to describe a continuous random variable x whena. the shape of the histogram of all possible values of x is nonsymmetrical.b. the area under the probability curve = 1.c. relative frequencies of all possible values of x are about the same.d. the probability curve f(x) > 0.
For an appropriate use the uniform distribution is to describe a continuous random variable x when relative frequencies of all possible values of x are about the same. So, option(d) is right one.
The uniform distribution is a distribution in which all values are equal. The interval [a,b] of a continuous variable X is said to be divided into one or four parts, meaning that all values in the distribution are equal or equal. If the probability density function equals f(x) = 1/(b−a), x∈[a,b] and is 0 elsewhere, we write X∼U(a,b). A curve is "uniform" when all events have the same probability. That is all occurrences of events have the same frequency. Accordingly, the correct answer is option (c).
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Josh multiples the number 6 by another number and the product is more than 6. Which of these could be the number that Josh multiples 6 by?
Josh multiplies 6 with number 2.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation.
Given,
Josh multiples the number 6 by another number and the product is more than 6.
Let the number be x
Equation becomes
6 × x = 6 + 6
6x = 12
x = 12/6
x = 2
Hence, 2 is the number that Josh multiplies 6 by.
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z − (y ÷ 3 − 1); use y = 3, and z = 7 14) (y +x) ÷ 2 + x; use x = 1, and y = 1
I’m lost
Answer:
Step-by-step explanation:
So we need to first of all we have to organize this
1) equation) z − (y ÷ 3 − 1); use y = 3, and z = 714
2)equation) (y +x) ÷ 2 + x; use x = 1, and y = 1
Ans1) 714 -(3÷3-1)
3÷3-1
3÷3 = 1
1-1 = 0
714-0 = 714
Ans2) (1+1)÷2+1
1+1 = 2
2÷2+1
2÷2 = 1+1
= 2
Suppose X and Y are independent random variables such that X has uniform (0,1) distribution and Y has exponential distribution with mean 1. Calculate: (a) E[X +Y (b) EXY] (c) EI(X -Y) (d) Elx2e2y
If x and y are independent variables such that x has uniform distribution (0,1) and y has exponential distribution means 1 then e (X+Y) is 3/2, E(XY) is 1/2, E (x-y)2 is 4/3 and E x2 e24 is -1/3
\(2^{2}\)\(e^{ty}\)x ≈ u (0,1) > Independent
y ≈ exp (1) > Independent
E (x) = 0+1/2 = 1/2
v (x) = \([1- 0 ] ^{2}\) / 12 = 1/12
E \(x^{2}\) = v (x) + \([ E x]^{2}\)
= 1/12 + 1/4 = 1+3/12 = 4/12 = 1/3
E (y) = 1 v(y)=1 E \(y^{2}\)= 1+1= 2
E\(e^{ty}\) = \(\int\limits^_0\)\(e^{ty}\)\(e^{-y} dy\)
E\(e^{ty}\) = \(\int\limits^_0\)\(e^{-y} (1-t)\) dy
a : E (x+y) = E (x) + E(y)
E (x+y) = 1/2+1 = 3/2
b: E (xy) = E (x) E(y) = 1/2 x 1 = 1/2
c: E \([x-y]^2\) = E (\(x^{2}\)-2xy+ \(y^{2}\)
= E \(x^{2}\) - 2 Exy + E \(y^{2}\)
= 1/3 - 2 x 1/2 + 2
= 1/3 + 1 = 4/3
d. E \(x^{2}\) \(e^{24}\)
E (\(x^{2}\) ) E \(e^{24}\) = 1/3 x -1 = - 1/3
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y = a(x - 50)2 + 6 what is the value of a?
Answer:
We first need to know what X & Y is...
Step-by-step explanation:
What is a discrete probability distribution? What are the two conditions that determine a probability distribution?
Discrete probability distribution is the events are those with a finite number of outcomes and the two conditions are that the each value is between 0 and 1, and the sum of all values is 1.
According to the statement
we have to explain all about the discrete probability distribution and its two conditions which determine that the this probability is a probability distribution.
So, For this purpose, we know that the
Discrete events are those with a finite number of outcomes
And this is other way that we defines that the A discrete probability distribution counts occurrences that have countable or finite outcomes. This is in contrast to a continuous distribution, where outcomes can fall anywhere on a continuum.
The main example of this is Binomial.
And the two conditions of the probability distribution is :
The probability of each value of the discrete random variable is between 0 and 1, inclusiveand the sum of all the probabilities is 1.
So, Discrete probability distribution is the events are those with a finite number of outcomes and the two conditions are that the each value is between 0 and 1, and the sum of all values is 1.
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Select the correct answer.
Micah took out a student loan for $20,000, which began accruing interest immediately. He has chosen not to begin payment of the loan until he finishes his schooling. The table shows the balance of the loan while Micah is in school.
Answer:
c
Step-by-step explanation:
the base part is 20k and so you only have 2 answers left and you see the numbers are going up in value so it cant be lower than 1
Answer:
C
Step-by-step explanation:
I just took the test. Also, if you don't believe me, take a set of x and y values from the table and input them into the equation. :D (remember to round up)