Answer:
A byte is 8 bits.
Just look at the photo and anything you can help me with wi be much appreciated
Is the event independent or dependent? You toss a penny and you toss a
dime.
O dependent
O independent
Answer:
the event would be independent.
Step-by-step explanation:
because the penny and dime are two seperate variables
What’s the answer I need help please
a) The conjugate of the denominator is given as follows: 2 - 14i.
b) The division has the result given as follows: 0.375 - 1.15i.
What is a complex number?A complex number is a number that is composed by a real part and an imaginary part, as follows:
z = a + bi.
In which:
a is the real part.b is the imaginary part.The division for this problem is given as follows:
(16 - 3i)/(2 + 14i).
For the conjugate of the denominator, we keep the real part, changing the sign of the imaginary part, hence it is given as follows:
2 - 14i.
Hence we can solve the division multiplying by the conjugate, considering that i² = -1, as follows:
(16 - 3i)/(2 + 14i) x (2 - 14i)/(2 - 14i) = (32 - 224i - 6i + 42)/(4 + 196)
(16 - 3i)/(2 + 14i) x (2 - 14i)/(2 - 14i) = (74 - 230i)/200
(16 - 3i)/(2 + 14i) x (2 - 14i)/(2 - 14i) = 0.375 - 1.15i.
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The mean number of hours worked for the 30 males was 6, and for the 20 females was 9. The overall mean number of hours worked is, A. Cannot be determined. B. 7.2 hours C. 7.5 hours D. 6.5 hours
Answer:
B
Step-by-step explanation:
The overall mean number of hours worked can be determined by calculating the weighted average of the means for males and females, taking into account the sample size as weights.
Given:
X₁ = 6 (mean number of hours worked for males)
X₂ = 9 (mean number of hours worked for females)
n₁ = 30 (sample size for males)
n₂ = 20 (sample size for females)
The overall mean number of hours worked, denoted as X, can be calculated as follows:
X = (X₁ * n₁ + X₂ * n₂) / (n₁ + n₂)
Plugging in the given values:
X = (6 * 30 + 9 * 20) / (30 + 20)
X = (180 + 180) / 50
X = 360 / 50
X = 7.2
Find the surface area of the rectangular prism.
On solving the provided question we can say that As a result, the surface area of the rectangular prism with 3 cm, 9 cm, and 6 cm dimensions is [tex]198 cm^2.[/tex]
what is surface area ?The surface area of an object indicates the overall space occupied by its surface. The surface area of a three-dimensional form is the entire amount of space that surrounds it. The surface area of a three-dimensional form refers to its full surface area. By summing the areas of each face, the surface area of a cuboid with six rectangular faces may be computed. As an alternative, you may use the following formula to name the box's dimensions: 2lh + 2lw + 2hw = surface (SA). Surface area is a measurement of the total amount of space occupied by the surface of a three-dimensional object (a three-dimensional shape contains height, breadth, and depth).
The surface area of a rectangular prism is given by the formula:
SA = 2(lw + lh + wh),
where l, w, and h are the rectangular prism's length, width, and height.
SA = 2(3×9 + 3×6 + 9×6)
= 2(27 + 18 + 54)
= 2(99)
= 198 cm²
As a result, the surface area of the rectangular prism with 3 cm, 9 cm, and 6 cm dimensions is [tex]198 cm^2.[/tex]
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Thomas swims 10km each week during swim club. how many meters does he swim in 5 weeks
Answer: Thomas swims 50,000 meters in 5 weeks.
Step-by-step explanation: To determine the total distance swam by an individual over a period of 5 weeks, the product of their weekly swim distance can be calculated by multiplying said distance by 5.
The accumulated distance covered within a period of five weeks by an individual with a weekly average of 10,000 meters amounts to a total distance of 50,000 meters.
Thomas swims 50,000 meters in 5 weeks.
Thomas swims 10 kilometers each week. To convert kilometers to meters, we multiply by 1,000 because there are 1,000 meters in a kilometer.
10 km * 1,000 meters/km = 10,000 meters
Thomas swims 10,000 meters each week. Now, to find out how many meters he swims in 5 weeks, we multiply the weekly distance by the number of weeks:
10,000 meters/week * 5 weeks = 50,000 meters
answer these questions please
11. The area difference between them is 96 square units (192 - 96).
12. The trough stands 4 feet tall.
How to calculate areas?11. The area of Figure A is 96 square units (12 x 8) and the area of Figure B is 192 square units (16 x 12). The difference in their areas is 96 square units (192 - 96).
12. Let the height of the trough be h. The volume of the trough is given by the formula:
Volume = base area x height
Substituting the given values:
96 = 24h
Dividing both sides by 24:
h = 4
Therefore, the trough is 4 feet tall.
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Ethan had some solid-coloured socks and patterned socks. He had \frac{3}{4} as many solid-coloured socks as patterned socks. He threw away 16 Paris of solid-coloured socks and 16 Paris of patterned socks. \frac{1}{5} of his socks were now solid-coloured socks. How many pairs of patterned socks did Ethan have at first?
If ethan threw away 16 Paris of solid-coloured socks and 16 Paris of patterned socks, Ethan had 140 pairs of patterned socks at first.
Let's start by assuming that Ethan had x pairs of patterned socks. According to the problem statement, Ethan had 3/4 as many solid-coloured socks as patterned socks. Therefore, the number of solid-coloured socks he had can be represented as 3/4*x.
Ethan threw away 16 pairs of solid-coloured socks and 16 pairs of patterned socks. So, after the clean-up, he had (3/4*x)-16 pairs of solid-coloured socks and (x-16) pairs of patterned socks.
The problem states that 1/5 of his socks were now solid-coloured socks. So, we can set up an equation:
(3/4x-16) = (1/5)(3/4*x + x - 32)
Simplifying and solving for x, we get:
x = 140
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Determine a quadratic equation that has solutions of 3 and -4 and includes f(7)=88
The quadratic equation that has solutions of 3 and -4 and includes f(7) = 88 is f(x) = 2(x - 3)(x + 4).
What is a quadratic equation?A quadratic equation is a second-degree polynomial equation that can be written in the general form:ax^2 + bx + c = 0
where x represents the variable, and a, b, and c are coefficients that represent real numbers, with a ≠ 0. The highest power of x in a quadratic equation is 2, and it typically forms a parabolic shape when graphed on a coordinate plane.
According to the given information:
A quadratic equation is typically written in the form:
f(x) = ax^2 + bx + c
where a, b, and c are coefficients.
Given that the solutions of the quadratic equation are 3 and -4, we can write the equation in factored form as:
f(x) = a(x - 3)(x + 4)
where (x - 3) and (x + 4) are the factors corresponding to the solutions 3 and -4, respectively.
Now, we are given that f(7) = 88. We can substitute x = 7 and f(x) = 88 into the equation above to obtain:
88 = a(7 - 3)(7 + 4)
Simplifying the expression inside the parentheses, we get:
88 = a(4)(11)
88 = 44a
Dividing both sides by 44 to solve for a, we get:
a = 88 / 44
a = 2
So, the value of a is 2.
Substituting the value of an into the factored form of the equation, we get:
f(x) = 2(x - 3)(x + 4)
Therefore, the quadratic equation that has solutions of 3 and -4 and includes f(7) = 88 is: f(x) = 2(x - 3)(x + 4)
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Please help!!! I don't know how to find the area of this shaded shape, can someone explain this! Thank you.
Answer: The way you can find the area of this shape is by splitting the shape into a triangle and a square find the areas of each shape and then add the values.
Step-by-step explanation:
What is the probability of rushing picking a blue shin
If in an Bernoulli experiment the chance of picking red ball is 3.2 times higher than to pick a blue ball, the probability of picking a red ball is approximately 0.7619, or 76.19%.
A Bernoulli experiment is a statistical experiment that has only two possible outcomes, usually referred to as success and failure. In this case, the outcomes are picking a red ball or picking a blue ball.
Let's assume that the probability of picking a blue ball is P(B), and the probability of picking a red ball is P(R). We are given that the chance of picking a red ball is 3.2 times higher than the chance of picking a blue ball. Mathematically, this can be expressed as:
P(R) = 3.2 * P(B)
We also know that the sum of the probabilities of all possible outcomes must be 1, so:
P(R) + P(B) = 1
We can use these two equations to solve for P(R):
P(R) + (1/3.2) * P(R) = 1
(4.2/3.2) * P(R) = 1
P(R) = 3.2/4.2 = 0.7619
This means that out of every 10 balls, about 7.6 will be red and 2.4 will be blue.
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Complete question is:
In an Bernoulli experiment the chance of picking red ball is 3.2 times higher than to pick a blue ball. What is the probability of picking the red ball?
16^5+16^4 is divisible by 17
City Furniture Company operates on an overhead which is 25% of the selling price. If one of their sleeper sofas costs City Furniture $237.85 and the overhead on the sofa is $174.50, find the selling price, the markup, and the net profit.
Answer: the selling price of the sleeper sofa is $698, the markup is $460.15, and the net profit is $285.65.
Step-by-step explanation: Add up to fetched = fetched + overhead
Add up to fetched = $237.85 + $174.50
Add up to fetched = $412.35
Since the overhead is 25% of the offering cost, we are able utilize this data to discover the offering cost:
Overhead = 0.25 * Offering cost
Offering cost = Overhead / 0.25
Offering cost = $174.50 / 0.25
Offering cost = $698
The markup is the distinction between the offering cost and the taken a toll:
Markup = Offering cost - Fetched
Markup = $698 - $237.85
Markup = $460.15
The net benefit is the markup short the overhead:
Net benefit = Markup - Overhead
Net benefit = $460.15 - $174.50
Net benefit = $285.65
The Central Limit Theorem can also be used to investigate unusual events. An unusual event is one that occurs with a probability of less than ___%
The Central Limit Theorem can also be used to investigate unusual events. An unusual event is one that occurs with a probability of less than 1%
The Central Limit Theorem can be used to investigate unusual events by calculating the probability of a sample mean being a certain number of standard deviations away from the population mean.
If we assume that the population is normally distributed, then we can use the normal distribution to calculate the probability of observing a sample mean that is a certain number of standard deviations away from the population mean.
An unusual event is typically defined as an event that occurs with a low probability, usually less than 5% or 1%. So, if we observe a sample mean that is more than 2 standard deviations away from the population mean, we can say that this is an unusual event that occurs with a probability of less than 5%. Similarly, if we observe a sample mean that is more than 3 standard deviations away from the population mean, we can say that this is an unusual event that occurs with a probability of less than 1%.
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Find the volume of the solid formed by rotating the region enclosed by y = e 4 x 1 , y = 0 , x = 0 , x = 0. 3 about the x -axis
The volume of the solid formed by rotating the region is 26.95 cubic units.
To find the volume of the solid formed by rotating the region enclosed by y = [tex]e^{4x}[/tex] + 1, y = 0, x = 0, and x = 0.3 about the x-axis, we can use the formula for the volume of a solid of revolution:
V = ∫[a, b] π * f(x)^2 dx
where a and b are the limits of integration, and f(x) is the distance from the x-axis to the curve being rotated.
In this case, a = 0 and b = 0.3, and f(x) = e^4x+1. Therefore, we have:
V = ∫[0, 0.3] π * [tex](e^{4x}+1)^{2}[/tex] dx
To evaluate this integral, we can use u-substitution with u = 4x + 1, du/dx = 4, and dx = du/4. Making this substitution, we get:
V = ∫[5, 6.2] π * [tex](e^{u} )^{2}[/tex] * (1/4) du
Simplifying, we get:
V = (π/4) * ∫[5, 6.2] [tex]e^{2u}[/tex] du
Using the power rule of integration, we get:
V = (π/8) * [[tex]e^{2u}[/tex] /2] |_[tex]5^{6.2}[/tex]
Substituting back in for u and simplifying, we get:
V = (π/8) * ([tex]e^{12.4} - e^{10}[/tex] )
Therefore, the volume of the solid formed by rotating the region enclosed by y = [tex]e^{4x}[/tex] +1, y = 0, x = 0, and x = 0.3 about the x-axis is approximately 26.95 cubic units.
Correct Question :
Find the volume of the solid formed by rotating the region enclosed by y = e^4x+1 , y = 0 , x = 0 , x = 0. 3 about the x -axis.
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water is exiting a giant cone shaped funnel at a rate of 15 cubic inches per second. the funnel is 75 inches high and has a maximum radius of 40 inches. what is the rate at which the water level of the funnel is changing when the water is 15 inches high? note that the volume of the cone is v
In the event of alteration in the rate at which the water level of the funnel is changing when the water is 15 inches high is 0.42 cubic inches per second.
The volume of a cone is given by the formula V = (1/3)πr²h here r is the radius of the base and h is the height of the cone.
Now we have differentiate this formula concerning t to get
dV/dt = (1/3)πr²dh/dt + (2/3)πrh²dr/dt.
It is given to us that water is coming out a giant cone shaped funnel at a rate of 15 cubic inches per second, then we can say that
dV/dt = -15 cubic inches per second
Therefore the funnel has a maximum radius of 40 inches and a height of 75 inches. We need to evaluate dh/dt
If h = 15 inches.
In order to find dh/dt,
we need to evaluate dr/dt and place it in equation for dV/dt.
Therefore, to find dr/dh = r/h.
Given
when h = 75 inches,
r = 40 inches.
Therefore, dr/dh
= 40/75.
Staging this into the equation for dV/dt,
-15 = (1/3)π(40²)(dh/dt) + (2/3)π(40)(15)²(40/75)
Here simplification takes place
dh/dt = -0.4π/3
≈ -0.42 cubic inches per second
In the event of alteration in the rate at which the water level of the funnel is changing when the water is 15 inches high is 0.42 cubic inches per second.
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In your opinion, which is better a romance book or a story book??
The question of which is better, a romance book or a storybook, is subjective and depends on individual preferences. But in my opinion, story book is better.
Why story book is betterA romance book typically centers around a romantic relationship between two characters and is focused on emotional and personal development. In contrast, a storybook can cover a broad range of genres, including adventure, mystery, sci-fi, fantasy, etc. They can also have romance as a subplot but are not limited to it.
When it comes to the question of which is better, it ultimately depends on individual preferences. Romance books may be more appealing to readers who enjoy exploring the intricacies of relationships, while storybooks may be more suitable for those who prefer diverse storytelling.
In terms of how a storybook can be better than a romance book, one reason is the sheer variety of genres and styles that storybooks can offer. Readers who are looking for a thrilling adventure or a thought-provoking mystery may find a storybook more engaging than a romance novel, which often follows a similar formula.
Additionally, storybooks can introduce readers to new worlds, characters, and ideas, making them not just entertaining but also educational. This can provide a more enriching experience for readers, as they can learn and expand their knowledge while enjoying a good story.
Overall, the question of which is better, a romance book or a storybook, is subjective and depends on individual preferences. Both can offer unique and engaging experiences, and readers should choose the one that suits their tastes and interests.
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Violets gross annual income is $57,903 she is paid biweekly and has 7% deducted from her paycheck for her 401(k) her employer matches her deduction up to 5%
A) How much is deducted from her paycheck for her 401(k)
B) How much is deposited into her retirement plan each day
a) $155.61 is deducted from Violet's paycheck for her 401(k).
b) $19.05 is deposited into Violet's retirement plan each day.
The deduction and amount depositedA) To calculate how much is deducted from Violet's paycheck for her 401(k), we need to find her biweekly gross income and then calculate 7% of it.
Violet's biweekly gross income can be found by dividing her annual income by the number of biweekly pay periods in a year, which is 26:
Biweekly gross income = $57,903 / 26 = $2,223
Now, we can calculate the amount that is deducted from Violet's paycheck for her 401(k):
401(k) deduction = 7% of $2,223 = 0.07 x $2,223 = $155.61
Therefore, $155.61 is deducted from Violet's paycheck for her 401(k).
B) To calculate how much is deposited into Violet's retirement plan each day, we need to first find out how much is deposited each pay period.
Violet contributes 7% of her biweekly gross income to her 401(k), which is $155.61 as calculated above. Her employer matches up to 5% of her contribution, so the total contribution to her retirement plan each pay period is:
Total contribution = Violet's contribution + employer's contribution
= $155.61 + (5% of $2,223)
= $155.61 + $111.15
= $266.76
There are 14 days in a biweekly pay period, so we can calculate how much is deposited into Violet's retirement plan each day:
Daily deposit = Total contribution / number of days in pay period
= $266.76 / 14
= $19.05
Therefore, $19.05 is deposited into Violet's retirement plan each day.
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When using the normal approximation to the binomial, what is the mean for a binomial probability distribution with p =.32 and n = 150?Nxp
The mean of a binomial probability distribution with p = 0.32 and n = 150 is 48
The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success, denoted by p. In the case of a binomial distribution with n trials and probability of success p, the mean, or expected value, is equal to the product of the number of trials and the probability of success, which is np.
In this case, the problem provides the values of p and n, which are p = 0.32 and n = 150, respectively. Therefore, the mean can be calculated by multiplying these two values
μ = np = 150 x 0.32 = 48
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the independent variable in either a before/after t or a within subjects f is always of what data scale?the independent variable in either a before/after t or a within subjects f is always of what data scale?
The independent variable in either a before/after t-test or a within-subjects ANOVA is always measured on a nominal or categorical scale.
This is because these statistical tests are used to compare means of two or more related groups, where the independent variable represents the different conditions or time points in which the dependent variable is measured.
For example, in a before/after t-test comparing the effectiveness of a medication, the independent variable would be the two time points (before and after), which are categorical in nature. Similarly, in a within-subjects ANOVA comparing three different treatment conditions, the independent variable would be the three treatment conditions, which are nominal in nature.
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please help i need help
Answer:
Step-by-step explanation:
B appears to be the only answer to this problem as the rest are perfect squares meaning their roots will terminate, while there is no guarantee for 8.
B is the correct answer
The distance from josie's home to kathy's home is 900 yards. the distance from josie's home to sitha, home is 1 mile. how many more yards away is sitha's home from josie's home than kathy's?
129°
(16x + 17)*
Solve for x.
Therefore , the solution of the given problem of angles comes out to be
x = 7 is the answer to the equation (16x + 17) = 129° for the variable x.
An angle's meaning is what?A skew greatest and smallest walls are located where the roads leading to its ends meet. A crossroads could be where two paths converge. Angle is another outcome of two things interacting. They mimic dihedral shapes more than anything. A two-dimensional curve can be created by arranging two line beams in various ways between their endpoints.
Here,
The steps below can be used to find x in the equation (16x + 17) = 129°:
To find the term with x on one side of the equation, first subtract 17 from both sides of the equation:
=> 16x + 17 - 17 = 129 - 17
=> 16x = 112
Step 2: To find x, multiply both sides of the equation by 16:
=> 16x / 16 = 112 / 16 x = 7
Thus, x = 7 is the answer to the equation (16x + 17) = 129° for the variable x.
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could someone pls help dues tm
5
Select the correct answer,
Solve the following inequality for %.
z-9≤2(9)
O A. X=<9
OB. X> =11
OC. x<-7
OD. x<10
Answer:
1) -4<x<-2
2) x<-7 or x75
3) 2<x<7
4) x<-5 or x<6
5) x<-8 or x74
Step-by-step explanation:
Carol was packing up some of her old stuff into a box. A box can hold 2 pounds, but she only filled it up 1/2 full How much weight was in the box?
Answer:
1 pound
Step-by-step explanation:
If a box can hold 2 pounds but is only filled up 1/2 full, then there is only 1 pound of weight in the box.
To see why, consider that if the box was completely full, it would hold 2 pounds. But if it is only half full, it can only hold half of that amount, or 1 pound. Thus, the weight in the box is 1 pound.
What is the volume of a right circular cylinder with diameter 6 cm and height 16 cm? Leave your answer in terms of π
If diameter 6 cm and height 16 cm, the volume of the right circular cylinder is 144π cubic cm.
The volume of a right circular cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height. In this case, the diameter is given as 6 cm, so the radius is half of the diameter, which is 3 cm. The height is given as 16 cm.
Substituting these values into the formula, we get:
V = π(3 cm)^2(16 cm)
V = π(9 cm^2)(16 cm)
V = 144π cubic cm
A right circular cylinder is a three-dimensional object with a circular base and straight sides that are perpendicular to the base. The volume of a cylinder is the amount of space that it occupies and is calculated by multiplying the area of the base by the height.
In this case, the base of the cylinder is a circle with radius 3 cm, so its area is π(3 cm)^2 = 9π square cm. The height of the cylinder is 16 cm, so the volume is 9π x 16 = 144π cubic cm.
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Max spent 3/5 of his money in a shop and 1/4 of the remainder in another shop. (a) What fraction of his money was left ?
3/10 of Max's money was left after he spent 3/5 of his money in the first shop and 1/4 of the remainder in the second shop.
Let's assume Max had $100 to start with (we can use any amount for this problem, but $100 is a convenient round number).
If Max spent 3/5 of his money in the first shop, he spent:
3/5 x $100 = $60
This means he had $40 remaining. If he then spent 1/4 of this remaining amount in the second shop, he spent:
1/4 x $40 = $10
So Max has spent a total of $60 + $10 = $70. Therefore, the amount of money Max has left is:
$100 - $70 = $30
So Max has $30 left out of his original $100. To express this as a fraction, we can write:
$30 / $100 = 3/10
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help now please.I need to find k in simplest radical form
Answer:
2
Step-by-step explanation:
45°-45°-90° triangles are Special Right Triangles. There are some super helpful shortcuts you can learn for a 45°-45°-90° triangle.
The two legs of the triangle are always the same. The longest side, the hypotenuse, is:
hypot = leg•sqrt2
The leg in your problem is sqrt2.
You are asked to find the hypotenuse, k.
hypot = leg•sqrt2
k = leg•sqrt2
k = sqrt2•sqrt2
k = 2
k is 2. Don't be sidetracked by the direction that says "Write your answer in simplest radical form". If there was a radical in your answer, we would simplify it, but there isn't...it's just plain 2.
Write an equation to fond the nth term of each sequence. Then find a9. -2,10,-50.
On solving the provided question we can say that As a result, the sequence's ninth term is -781250.
what is a sequence?A sequence is a collection of numbers, sometimes known as "terms." Terms like 2, 5, and 8 are examples. Some sequences may be made infinitely long by utilising a specific pattern they follow. To continue the process, take the example of 2,5,8 and add 3. There are formulae that show where to search in a series for words. In mathematics, a sequence (or event) is a collection of items that are in some order. It is similar to a set in that it comprises parts (also known as elements or terms). The length of a series is defined as the total number of ordered items, which may be infinite. The act of arranging two or more elements in a logical sequence.
To discover the nth term in a series, we must first figure out what pattern or rule guides the sequence.
In this situation, each term in the series may be generated by multiplying the previous term by -5. So the pattern or rule for this sequence is as follows:
an = -5 * an-1
where a1 = -2
[tex]a^9 = -5 * a8\\= -5 * (-2 * (-5)^7)\\= -781250\\[/tex]
As a result, the sequence's ninth term is -781250.
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