Answer:
1.03703703704
Step-by-step explanation:
did it on paper and then finished the equation in my head
Answer whether the following statement is TRUE or FALSE. (a) [3 pts.] If the random variable X is constant, the expectation of X is always zero. (b) [3 pts.] If the random variable X is constant, the variance of X is always zero. (c) [3 pts.] If two random variables are independent, they always have zero covariance. (c) [3 pts.] If two random variables have zero covariance, they are always independent.
(a) False. If the random variable X is constant, the expectation of X will be equal to that constant value, not necessarily zero.
(b) True. If the random variable X is constant, it has no variation in its values, and hence its variance will be zero.
(c) True. If two random variables X and Y are independent, their covariance will always be zero.
(d) False. Although having zero covariance implies independence for some cases,
(a) False. If the random variable X is constant, the expectation of X will be equal to that constant value, not necessarily zero. The expectation represents the average value of a random variable, so if X is constant, its expectation will be equal to that constant.
(b) True. If the random variable X is constant, it has no variation in its values, and hence its variance will be zero. Variance measures the spread or dispersion of a random variable's values around its mean. Since X is constant, there is no spread, resulting in a variance of zero.
(c) True. If two random variables X and Y are independent, their covariance will always be zero. Covariance measures the linear relationship between two random variables. When variables are independent, there is no linear relationship between them, and thus their covariance is zero.
(d) False. Although having zero covariance implies independence for some cases, it does not hold universally. Zero covariance only guarantees independence if the variables are jointly normally distributed. There can be cases where variables have zero covariance but are still dependent. Independence requires more than just zero covariance; it implies that the variables are completely unrelated to each other.
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Please answer only if you know for sure :) Comes from pre-calc btw
Let d be the number of dollars you spent on gas and let g be the number of gallons you purchased. Which expression represents the price you paid per gallon?
Answer:
The expression represents the price you paid per gallon is:
Price paid per gallon = [tex]\frac{d}{g}[/tex]Step-by-step explanation:
To identify the expression is right, I'll show you with an example: suppose that you paid $56 buying 7 gallons of gas, now you can replace those values in the expression I gave you:
Price paid per gallon = [tex]\frac{d}{g}[/tex]Price paid per gallon = [tex]\frac{56}{7}[/tex]Price paid per gallon = 8And you can check this value by multiplying the price paid by the gallon and the number of gallons, which you obtain the number of dollars you spent:
Number of dollars (d) = 8 * $7 = $56a) Work out (5 x 10^3)x(9 x 10^7)
Give your answer in standard form.
Answer:
45000000000
Step-by-step explanation:
when multiplying exponents, you multiply base numbers with no exponent (9 and five in this case) and numbers with exponents (10 in this case). 9 X 5 is 45 and 10 to the power of 7 times 10 to the power of 2 is 10 to the power of 9 or 1000000000. 45 X 1000000000 is 45000000000.
The standard form of (5 x 10³) x (9 x [tex]10^7[/tex]) is 450000000000.
The standard form of (7 x [tex]10^5[/tex]) ÷ (2 x 10²) is 3500.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
(5 x 10³) x (9 x [tex]10^7[/tex])
= 5 x 9 x [tex]10^{3 + 7}[/tex]
= 45 x [tex]10^{10}[/tex]
= 450000000000
(7 x [tex]10^5[/tex]) ÷ (2 x 10²)
= (7 x [tex]10^5[/tex])/(2 x 10²)
= 7/2 x [tex]10^{5 -2}[/tex]
= 3.5 x 10³
= 35/10 x 1000
= 3500
Thus,
The standard values are 450000000000 and 3500.
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The football team gained 8 yards on the first play. Lost 6 uards on the next. Gained 3 yards in the third play and lost 12 yards on their final play. What was their final change in yardage after the four plays
What Kind Of Sides And Angles Does This Triangle Have?
Answer:
2 acute and 1 right angle (the right angle is a 90 degree angle)
Step-by-step explanation:
Which of the following are equations for the line shown below? Check all that apply.
A y+5=2.5(x+2)
B y-2=2.5(x-5)
C y-5=2.5(x-2)
D y+2=2.5(x+5)
Answer:
a and d because the graph is positive
What is the slope of the line with equation y-3=-1/2 (x-2)
Given parameters:
Equation of the straight line;
y - 3 = [tex]\frac{-1}{2}[/tex](x -2)
We can determine the slope of any straight line from the equation of such lines.
Generally, a straight line has the formula;
y = mx + C
where y is the y-axis coordinate and x is the x-axis coordinate
m is the slope and c is the y-axis intercept
Now let us express the given equation in this format;
y - 3 = [tex]\frac{-1}{2}[/tex](x - 2)
Multiply both sides by 2;
2(y - 3) = -1(x -2)
2y -6 = -x + 2
Rearrange to the form y = mx + c
2y = -x + 2 + 6
2y = -x + 8
divide by 2;
y = [tex]\frac{-1}{2}[/tex]x + 4
y = mx + c
the slope is m and it is equal to [tex]\frac{-1}{2}[/tex]
7/9 - 1/5 =. put answer in simplest form
35-9/45 = 26/45
The answer is 26/45.
Answer:
26/45
Step-by-step explanation:
35/45-9/45=26/45
1. Refer to the equation 3x − 5y = 15. (a) Create a table of values for at least 4 points. Show your work on how you found the values for each coordinate pair, and validated the points were on the line.
Work for Point 1
Work for Point 2
Work for Point 3
Work for Point 4
Answer:
(0, 3 ), (5, 0), (10, -3), (15, -6)
Step-by-step explanation:
3x − 5y = 15
-5y = 3x + 15
y = [tex]-\frac{3}{5} x + 3[/tex]
Point 1: (0, 3 )
y = -3/5(0) + 3
y = 0 + 3
y = 3
Validate:
3 = -3/5(0) + 3
3 = 3
Point 2: (5, 0)
y = -3/5(5) + 3
y = -3 + 3
y = 0
Validate:
0 = -3/5(5) + 3
0 = 0
Point 3: (10, -3)
y = -3/5(10) + 3
y = -6 + 3
y = -3
Validate:
-3 = -3/5(10) + 3
-3 = -3
Point 4: (15, -6)
y = -3/5(15) + 3
y = -9 + 3
y = -6
Validate:
-6 = -3/5(15) + 3
-6 = -6
Answer: For this problem, you cannot go over 10! so remember guys you can graph it however you want for example if you wanted to you could do -3/5(-2) + 3 for the first point but you would have to solve it. the next one would be maybe -3/5(-1) + 3 if you wanted to go up by plus one REMEMBER this is your OWN graph so do whichever number order you want it doesn't matter you can increase by 1 or 2 or 3 but the final point shouldn't be over ten or you will get the problem wrong. Good Luck I hope I get an A and I hope you guys get A's as well. Do ur absolute best on this
What is the ratio of 2,753 to 1,750 as a decimal? ( Rounded to two decimal places)
Answer:
-0.17
Step-by-step explanation:
C.) The length of a rectangle is 30 meters and the perimeter is 70 meters. What is the width of the rectangle?
3. Suppose a unit cube is dilated by some scale factor k a. Write an expression for the surface area of the dilated cube. b. Write an expression for the volume of the dilated cube. c. Compare and contrast the expression for surface area and the expression for volume.
a. The expression for the surface area of a dilated cube is 6k², where k is the scale factor.
b. The expression for the volume of a dilated cube is k³, where k is the scale factor.
c. The expressions for surface area and volume differ in terms of the power of the scale factor: surface area is proportional to k², while volume is proportional to k³.
a. When a unit cube is dilated by a scale factor k, all sides of the cube are multiplied by k. Since a cube has six faces, the surface area of the dilated cube can be calculated by multiplying the area of one face (which is k²) by 6. Therefore, the expression for the surface area of the dilated cube is 6k².
b. The volume of a cube is calculated by multiplying the length, width, and height of the cube. In this case, each side of the unit cube is scaled by a factor of k, so the expression for the volume of the dilated cube is k³.
c. Comparing the expressions for surface area and volume, we observe that the power of the scale factor differs. The surface area is proportional to k², indicating that the surface expands in two dimensions (length and width) when the scale factor increases. On the other hand, the volume is proportional to k³, demonstrating that the space inside the cube expands in three dimensions (length, width, and height) as the scale factor increases. This means that the volume of the dilated cube increases faster than its surface area as the scale factor grows, resulting in a greater change in volume compared to the change in surface area.
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Help Needed !! What Kind Of Angles Does This Triangle Have? Acute,Obtuse,Right,Equiangular
Explain Your Answer
Find an equivalent ratio in simplest terms:
66 : 42
Submit Answer
Math
Answer:
11:7
Hope this helps
What is the perimeter of the rectangle, if the formula for perimeter is Prectangle = 21 + 2w?
6 cm
Please help
which of the following are the factors of p2 + 5p + 4?
plss someone answer this correctly cause I'm s slow in Math
Answer:
P2+p+4p+4
p(p+1)+4(p+1)
(p+4)(p+1)
p=-4 and p=-1
Step-by-step explanation:
it may help you to understand
Answer:
(p + 4) and (p + 1)
Step-by-step explanation:
Given
p² + 5p + 4
Consider the factors of the constant term (+ 4) which sum to give the coefficient of the p- term (+ 5)
The factors are + 4 and + 4 , since
4 × 1 = 4 and 4 + 1 = 5 , thus
p² + 5p + 4 = (p + 4)(p + 1)
A group of students and their leader visited the zoo 1 adult 4 students in one van paid $12 for the tiger tour. In the second van 3 adult 3 students paid $18 for the same tour. Find the adult price and student price of the tour
Answer:
Adults cost $4, and Students $2.
Step-by-step explanation:
I have adults be x, and Students y, and convert the two groups to equations.
1x + 4y = 12, and 3x + 3y = 18. I divide the last equation by 3, to get x + y = 6.
Then I subtract y, to get x = 6 - y, then we use substitution.
6 - y + 4y = 12
6 +3y = 12, then subtract 6 from both sides, 3y = 6. divide by 3, and get y = 2. we can plug this into our x + y = 6, to get x + 2 = 6. i.e x = 4.
So Adults cost 4 dollars, and Students cost 2 dollars.
Just lots of simple math, take your time with these questions.
The following tables shows the distribution of the masses of 120 logs of wood.
(Masses (kg): (15-24) (25-34) (35-44) (45-54) (55-64)
Frequency: (14) (54) (24) (26) (2)
(a) Construct the cummulative Frequency table for the distribution
(b) Draw a cummulative Frequency curve for the distribution.
(a) | Masses (kg) | Frequency | Cumulative Frequency |
|-------------|-----------|---------------------|
| 15-24 | 14 | 14 |
| 25-34 | 54 | 68 |
| 35-44 | 24 | 92 |
| 45-54 | 26 | 118 |
| 55-64 | 2 | 120 |
(b) The cumulative frequency curve starts from the origin (0, 0) and moves upward and to the right, indicating that the mass of logs is increasing as we move right on the x-axis.
To construct the cumulative frequency table for the distribution of masses of 120 logs of wood, we need to add up the frequencies of each class and all the classes before it.
(b) To draw a cumulative frequency curve, we plot the cumulative frequency values against the upper class limits. The plot shows how the cumulative frequency increases with the increase in the mass of the log.
We use the same class intervals as in part (a):
- x-axis = Masses (kg)
- y-axis = Cumulative frequency
To plot the cumulative frequency curve, we mark the upper limit of each class on the x-axis, and its corresponding cumulative frequency on the y-axis. Then, we join the plotted points with a smooth curve, as shown in the graph.
The steeper the curve, the more rapid the increase in cumulative frequency, indicating that a larger number of logs fall in higher mass categories.
In the given distribution, the plot of the cumulative frequency curve shows that the majority of logs fall in the mass range of 25-34 kg, closely followed by the range of 45-54 kg.
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Which conversions from scientific notation to standard notation are true? Select the four correct answers.
1.71 times 10 Superscript 3 Baseline = 0.00171
8.05 times 10 Superscript 5 Baseline = 805,000
2.4 times 10 Superscript 4 Baseline = negative 24,000
8.25 times 10 Superscript negative 3 Baseline = negative 8,250
7.09 times 10 Superscript negative 6 Baseline = 0.00000709
3.99 times 10 Superscript 5 Baseline = 300,099
8 times 10 Superscript 7 Baseline = 80,000,000
1.03 times 10 Superscript negative 4 Baseline = 0.000103
scientific notation to standard notation is true
8.05 times 10 Superscript 5 Baseline = 805,000
7.09 times 10 Superscript negative 6 Baseline = 0.00000709
8 times 10 Superscript 7 Baseline = 80,000,000
1.03 times 10 Superscript negative 4 Baseline = 0.000103
To alternate, more than a few from scientific notation to standard form, circulate the decimal point to the left (if the exponent of ten is a -ve no), or to the right (if the exponent is +ve no). You have to circulate the factor as usually because the exponent indicates. Do not write the power of ten anymore.The right format for scientific notation is an x 10^b wherein a is no. or decimal quantity such that absolutely the cost of a is extra than or same to 1 and much less than ten or, 1 ≤ |a| < 10. b is the energy of 10 required so that the clinical notation is mathematically equal to the unique quantity.
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Answer:
C. 80 times 10 Superscript 3 baseline
Step-by-step explanation:
When multiplying terms with the same sign, we will get a _______ product.
When multiplying terms with different signs, we will get a ________ product
Answer:
same,different
Step-by-step explanation:
Answer:
positive; negative
Step-by-step explanation:
If a student is multiplying two positive numbers, the answer will always be positive.
EX: 3 x 4 = 12
The same applies for two negatives. If two negatives are multiplied it will make a positive answer. This is where the phrase "two negatives make a positive" come from.
EX: -3 x -4 = 12
However, if one number is positive and one is negative, then the answer will always be negative.
EX 1: -3 x 4 = -12
EX 2: 3 x -4 = -12
Is the following number rational or irrational?
-3+\pi−3+π
Answer:
Irrational
Step-by-step explanation:
I hoped this helped, I don't know if it's right
A concession stand sells smoothies. The scatter plot shows the relationship between the number of smoothies sold and the high temperature on that day
The scatter plot shows the relationship between the number of smoothies sold and the high Temperature on that day. The graph displays a pattern of upward trend, indicating that as the temperature increases, the number of smoothies sold also increases.
A concession stand sells smoothies. The scatter plot shows the relationship between the number of smoothies sold and the high temperature on that day. The graph indicates a positive correlation between the two variables. The scatter plot displays a pattern of upward trend, suggesting that as the temperature increases, the number of smoothies sold also increases. Let's understand what scatter plots are and how they are useful in depicting data in detail.Scatter Plots:
Scatter plots are a graphical representation that displays data as a collection of points in a two-dimensional coordinate system. In simple terms, they use dots to show the relationship between two variables. They are useful in identifying patterns, trends, and correlation between variables. In the case of a concession stand selling smoothies, a scatter plot can be used to show the relationship between the number of smoothies sold and the temperature on that day.Positive Correlation:
Positive correlation indicates that as one variable increases, the other variable also increases. In the case of the concession stand selling smoothies, the scatter plot shows a pattern of upward trend, suggesting that as the temperature increases, the number of smoothies sold also increases. This means that the variables have a positive correlation, and an increase in one variable causes an increase in the other variable.
Therefore, we can conclude that the scatter plot shows the relationship between the number of smoothies sold and the high temperature on that day. The graph displays a pattern of upward trend, indicating that as the temperature increases, the number of smoothies sold also increases. The variables have a positive correlation, which means that an increase in one variable causes an increase in the other variable. Scatter plots are useful in identifying trends and patterns and can be used to depict data graphically.
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Two years ago Randi earned $18,400. Last year she earned $19,700. Suppose she earns $21.600 this year. What will be her average earnings per year?
Please simplify this √5⋅√12⋅√50
Answer: 54.55
Step-by-step explanation: √5= 2.23 √12= 3.46 √50= 7.07
2.23 x 3.46 x 7.07= 54.55 You baically simpify the sqaure roots and then multiply the simpfied sqaure roots.
Answer:
[tex]\boxed{10 \sqrt{30} }[/tex]
Step-by-step explanation:
[tex]the \: expression \to√5⋅√12⋅√50 \\ can \: still \: be \: simplified \: by \to \\ √5 \times √12 \times√50 \to\\ √5\times √3 \times√4 \times √2 \times √25 \to \\ √5\times √3 \times2 \times √2 \times 5 \to \\ \boxed{10 \sqrt{30} }[/tex]
♨Rage♨
If f(x) = x/2 plus 8 what is f(x) when x = 10
[tex]f(x)=\frac{x}{2}+8[/tex]
Given y = f(x)
Substitute x = 10.
[tex]f(10)=\frac{10}{2} +8\\f(10)=5+8\\f(10)=13[/tex]
Therefore f(x) = 13 when x = 10
4x + 4 = 2x + 36
HELP ASAP
Answer:
x= 16
i send you a picture how to do it
the product of 3/4 and 1/5 gives
Answer:
The answer =3/20
Step-by-step explanation:
3/4*1/5
3/20
The product means multiplication
Answer:
[tex]\huge\boxed{\sf \frac{3}{20} }[/tex]
Step-by-step explanation:
Given that,
[tex]\displaystyle = \frac{3}{4} \times \frac{1}{5}[/tex]
Simply, multiply the fractions.
[tex]\displaystyle =\frac{3 \times 1}{4 \times 5} \\\\= \frac{3}{20} \\\\\rule[225]{225}{2}[/tex]
3
3. Given the expression 6(3x – 2) - 4(5x + 4), how would
you start to simplify it? Show that some of the properties
can help simplify the expression into simplest form.
Answer:
-2x-28
Step-by-step explanation:
first you need to distribute the 6 & -4
An ant starts at the point (1, 0) on the unit circle and walks counterclockwise a distance of 2 units around the circle. Find the a and y coordinates (accurate to 2 decimal places) of the final location of the final location of the ant.
To find the final location of the ant after it has walked counterclockwise a distance of 2 units around the unit circle, we need to calculate the coordinates (x, y) of the point.
Since the ant starts at the point (1, 0) on the unit circle, we can think of this point as being at an angle of 0 degrees or 0 radians.
To find the coordinates after walking a distance of 2 units counterclockwise, we can calculate the new angle using the arc length formula:
s = rθ
where s is the arc length, r is the radius of the circle (which is 1 in this case), and θ is the angle in radians.
In this case, the arc length is 2 units and the radius is 1, so we have:
2 = 1θ
Solving for θ, we find:
θ = 2 radians
Now, we can use this angle to find the coordinates (x, y) of the final location on the unit circle:
x = cos(θ)
y = sin(θ)
Plugging in θ = 2, we get:
x = cos(2) ≈ -0.42
y = sin(2) ≈ 0.91
Therefore, the approximate coordinates of the final location of the ant are (-0.42, 0.91).
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