Answer:
7 hours
Step-by-step explanation:
90 divided by 5 is 18 so 126 divideded by 18 is7
a television channel conducts a study on the number of tvs per household in their service area. out of 1000 households surveyed, 350 have one tv, 500 have two tvs, 120 have three tvs and 30 have four tvs. how many tvs does each household have on average?
Answer:
Step-by-step explanation: The answer is to be calculated with help of taking out averages of the households' Tvs.
In order to calculate the expected value we multiply each value of the random variable by its probability and then add the results.
(1 TV times 350/1000) + (2 TV times 500/1000) + (3 TV times 120/1000) + (4 TV times 30/1000) = 1.83.
on average, each household has 1.83 TVs.
As per the data given, a television channel conducted a study on the number of TVs per household in their service area. Out of 1000 households surveyed, 350 have one TV, 500 have two TVs, 120 have three TVs and 30 have four TVs. We need to determine the number of TVs each household has on average.To calculate the average number of TVs, we need to calculate the total number of TVs and divide that by the number of households.
Totals TVs = (Number of households with 1 TV × 1) + (Number of households with 2 TVs × 2) + (Number of households with 3 TVs × 3) + (Number of households with 4 TVs × 4)Total TVs
= (350 × 1) + (500 × 2) + (120 × 3) + (30 × 4)Total TVs = 350 + 1000 + 360 + 120
Total TVs = 1830
Average number of TVs per household = Total TVs / Number of households
Average number of TVs per household = 1830 / 1000
Average number of TVs per household = 1.83
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A police department concerned with levels of white collar crime is interested in the number of years the typical offender works for a company while engaged in illegal behaviors. The department has hired a researcher to assess the relationship between years worked and involvement in white collar crime. Years of research have yielded a population standard deviation of 20. The consultant is given a sample of 225 convicted criminals to compare to the population and calculates a sample mean of 30 years.
1. Calculate the standard error of the mean.
2. Calculate the 95% confidence interval. Interpret it.
3. Calculate the 99% confidence interval. Interpret it.
The calculation of the 99% confidence interval is 26.57 and 33.43.
We are given that;
Standard deviation = 20
Number of convicted criminals= 225
Now,
1. Calculate the standard error of the mean using the formula:
\($$SE = \frac{SD}{\sqrt{N}}$$\) where SE is the standard error,
SD is the standard deviation and N is the sample size. In this case, SD = 20 and N = 225,
\(so $$SE = \frac{20}{\sqrt{225}} = \frac{20}{15} = 1.33$$\)
2. Calculate the 95% confidence interval using the formula:
\($$\bar{x} \pm z_{\alpha/2} \times SE$$ where $\bar{x}$ is the sample mean, $z_{\alpha/2}$\) is the critical value for a given confidence level and SE is the standard error.
In this case,
\($\bar{x} = 30$, $z_{\alpha/2} = 1.96$ for 95% confidence level and SE = 1.33, so $$30 \pm 1.96 \times 1.33 = 30 \pm 2.61 = (27.39, 32.61)$$\)
This means that we are 95% confident that the true population mean of years worked by white collar criminals is between 27.39 and 32.61.
3. Calculate the 99% confidence interval using the same formula but with a different critical value:
\($$\bar{x} \pm z_{\alpha/2} \times SE$$ In this case, $z_{\alpha/2} = 2.58$\)
for 99% confidence level and everything else remains the same,
\(so $$30 \pm 2.58 \times 1.33 = 30 \pm 3.43 = (26.57, 33.43)$$\)
Therefore, by percentage the answer will be 26.57 and 33.43.
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substitution algebra
Answer:
The method of substitution involves three steps:
Solve one equation for one of the variables.
Substitute (plug-in) this expression into the other equation and solve.
Resubstitute the value into the original equation to find the corresponding variable.
Step-by-step explanation:
Find The Area Of The Region. Interior Of R = 9 + 7 Sin Θ (Below The Polar Axis) 2) Find The Area Of The Region. Two Petals Of R = 8 Sin(3θ) 3) Find Dy/Dx.
1) Find the area of the region.
Interior of r = 9 + 7 sin θ (below the polar axis)
2) Find the area of the region.
Two petals of r = 8 sin(3θ)
3) Find dy/dx.
x=\sqrt[3]{t}
y=3-t
To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we can integrate the function from the lower bound of θ to the upper bound of θ and take the absolute value of the integral.
To find the area of the region formed by two petals of r = 8sin(3θ), we can integrate the function over the appropriate range of θ and take the absolute value of the integral. To find dy/dx for the given parametric equations x = t^(1/3) and y = 3 - t, we differentiate y with respect to t and x with respect to t and then divide dy/dt by dx/dt.
To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|. In this case, the lower bound and upper bound of θ will depend on the range of values where the function is below the polar axis. By integrating the expression, we can find the area of the region. To find the area of the region formed by two petals of r = 8sin(3θ), we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|.
The lower bound and upper bound of θ will depend on the range of values where the function forms the desired shape. By integrating the expression, we can calculate the area of the region. To find dy/dx for the parametric equations x = t^(1/3) and y = 3 - t, we differentiate both equations with respect to t. Taking the derivative of y with respect to t gives dy/dt = -1, and differentiating x with respect to t gives dx/dt = (1/3) * t^(-2/3). Finally, we can find dy/dx by dividing dy/dt by dx/dt, resulting in dy/dx = -3 * t^(2/3).
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Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answer:
A, C
Step-by-step explanation:
Find a formula for the nth partial sum of the series and use it to determine if the series converges or diverges. If a seres converges, find its sum
[infinity]
Σ (In √n+1 - in √n)
n = 1
Sn=
(type an exact answer, using radicals as needed)
The sum of the series is____
(type an integer or a fraction.)
The formula for the nth partial sum of the series is equal to Sn = ln √(n+1), and the series diverges.
Get a formula for the nth partial sum of the series, by writing out the first few terms,
S₁ = (ln √2 - ln √1)
= ln √2
S₂ = (ln √3 - ln √2) + (ln √2 - ln √1)
= ln √3 - ln √1
S₃= (ln √4 - ln √3) + (ln √3 - ln √2) + (ln √2 - ln √1)
= ln √4 - ln √1
Pattern here expressed the nth partial sum is equal to
ln √(n+1) - ln √1.
Simplify this to,
ln (√(n+1)/√1)
= ln √(n+1).
nth partial sum is equal to,
Sn = ln √(n+1)
Series converges or diverges,
Take the limit of the nth partial sum as n approaches infinity we have,
\(\lim_{n \to \infty}\) ln √(n+1)
= ln ∞
= ∞
Here, the limit of the nth partial sum diverges to infinity, the series itself diverges.
⇒the series does not have a sum.
Therefore, the nth partial sum of the series is Sn = ln √(n+1), and the series diverges.
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2. Which inequality represents all solutions of -3b-52-6b - 13.
Ob26
Ob>-8/3
O b s8/3
Obs6
Answer:
b≥ - 8/3
Step-by-step explanation:
-3b-5≥-6b - 13.
Add 6b to each side
-3b+6b-5≥-6b+6b - 13
3b-5≥ - 13
Add 5 to each side
3b-5+5≥ - 13+5
3b≥ - 8
Divide by 3
3b/3≥ - 8/3
b≥ - 8/3
Select the graph that matches the equation. -x + y = 1
The graph of the linear equation:
-x + y = 1
Can be seen in the image at the end.
Which graph matches the given linear equation?A general linear equation in standard form is written as:
a*x + b*y = c
In this case, we have the linear equation:
-x + y = 1
To graph it, we need to find two points on the line, to find them we need to evaluate the linear equation.
For example, if x = 0 we will get:
-0 + y = 1
y = 1
Then we have the point (0, 1)
If x = 1, we will get:
-1 + y = 1
y = 1 + 1
y =2
So we have the point (1, 2)
Then we can graph these two points and then draw a line that connects the two points, then the graph of the linear equation is the one you can see below.
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Calculate the volume of the solid. Round answer to the nearest hundredth.
if you use a level of significance in a two-tail hypothesis test, what decision will you make if zstat -1.58?
In a two-tail hypothesis test, if the calculated test statistic (z-statistic) is -1.58 and the level of significance is used, the decision will depend on comparing the z-statistic to the critical values of the standard normal distribution corresponding to the desired level of significance.
Explanation: In a two-tail hypothesis test, the null hypothesis assumes that there is no significant difference between the sample and population parameters. The alternative hypothesis, on the other hand, suggests a significant difference. The level of significance, denoted as α, determines the critical values that divide the rejection and non-rejection regions.
If the calculated test statistic, in this case -1.58, falls within the rejection region, which is determined by the critical values, we reject the null hypothesis. If the test statistic falls outside the rejection region, we fail to reject the null hypothesis.
To make a decision, we compare the z-statistic to the critical values corresponding to the level of significance. If the z-statistic of -1.58 falls outside the critical values, it means it is not extreme enough to reject the null hypothesis, and we fail to reject it. However, if the z-statistic falls within the critical values, we reject the null hypothesis in favor of the alternative hypothesis.
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What is the verte of the parábola in the graph
Answer:
(-3, -4)
Step-by-step explanation:
The parabola's Vertex is the graph's lowest or highest point.
Looking at the graph, the vertex is located at (-3,-4)
I just need help with question 1 for exercise 3!
SOLUTION:
Case: Transformation:
To find the transformation, compare the equation to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Method:
1,
\(y=(5x)^3-3\)Transformation features:
Horizontal: None
Shift: None
Stretch/Compression: None
Vertical:
Shift: Down by 3 units
Stretch/Compression: Stretch by a factor of 5
2.
\(y=-7(x+9)^2\)Transformation features:
Horizontal:
Shift: left by 9 units
Stretch/Compression: None
Vertical:
Shift: None
Stretch/Compression: Stretches by a factor of 7.
Final answer:
1.
Vertical:
Shift: Down by 3 units
Stretch/Compression: Stretch by a factor of 5.
2.
Horizontal:
Shift: left by 9 units
Vertical:
Stretch/Compression: Stretches by a factor of 7.
You flip four coins. Let X, the random variable, be the number of heads on all four coins.
a. List the sample space for the experiment.
The sample space for flipping four coins is {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH, TTTT}.
What is the sample space of the four coins?The sample space for flipping four coins can be represented as a set of all possible outcomes, where each outcome is a sequence of four coin tosses. Each coin toss can result in either heads (H) or tails (T).
The sample space, Ω, for this experiment can be expressed as:
Ω = {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH, TTTT}
Here, for example, the outcome HHHT means that the first three coins landed heads, while the last coin landed tails.
The outcome HTHH means that the first coin landed heads, the second and third coins landed tails, and the fourth coin landed heads.
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Express 20g as a percentage of 1kg
Answer:
2% of 1kg
Step-by-step explanation:
20g/1kg x 100
= 20g/1000g x 100
1/50 x 100
=2
Therefore, 20g is 2% of 1kg
Hope it helps you
Answer:
2%
Step-by-step explanation:
1kg=1000g
=20/1000×100%
=2%
after a long day at school, you look forward to socializing with friends online. afterwards, you relax by watching your favorite television show. what theory proposes that we use media to meet particular needs?
Uses and gratifications theory (UGT) is an approach to understanding why and how people actively seek out specific media to satisfy specific needs.
Use and gratification theory is an approach to understanding why and how people actively seek certain media to satisfy certain needs. The theory states that media consumers are passive consumers of mass communication; Rather, they play an active role in media consumption.
After the introduction of use and gratification theories, scholars have generally viewed audiences as active participants who seek, evaluate, use, and consume media for various reasons, purposes, and in various ways.
Explain how people use the media for their own needs and are satisfied when their needs are met. In other words, the theory proves what people do to the media, not what the media does to people.
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What is the value of p in this proportion?
3 10/p=4 5/1 4
Enter your answer as a simplified fraction in the box. mhanifa please answer thhis
p =
Answer:
below
Step-by-step explanation:
that is the correct answer above
Answer:
2/3
Step-by-step explanation:
I understand what you were trying to ask, cuz I am taking the test rn :)
What is the y-intercept in this problem?
Answer:
(0, -1) I think
Step-by-step explanation:
I have not done this in a while
Hope this helps, though.
-2/6 ÷ 5/8 answer should be in fraction form
Answer:
The answer is -8/15
Step-by-step explanation:
Answer:
-5/24
Step-by-step explanation:
-5/24 = -0.20833 Both are the answer but, you asked for it in fraction form so,
the one you need is -5/25.
Hope I helped.
What is the PERCENT DECREASE: 1) PRINCETON: December - 50 January - 40 2) WORCESTER: December - 256 January - 197 3) CHICAGO: December - 7050 January - 6708
Answer: See explanation
Step-by-step explanation:
PRINCETON:
December - 50
January - 40
Decrease = 50 - 40 = 10
Percentage Decrease = Decrease/Original value × 100
= 10/50 × 100
= 20%
2) WORCESTER:
December - 256
January - 197
Decrease = 256 - 197 = 59
Percentage Decrease = Decrease/Original value × 100
= 59/256 × 100
= 23.05%
3) CHICAGO:
December - 7050
January - 6708
Decrease = 7050 - 6708 = 342
Percentage Decrease = Decrease/Original value × 100
= 342/7050 × 100
= 4.85%
Help please, I don't understand this. And Im being timed
Answer:
3rd choice
No, it is NOT a linear function because the variable x is in the denominator. x will be multiplied by y.
Olivia gave a security deposit of $1500 to her landlord, Mr. Rey, six years ago. Mr. Rey will give her the deposit back with a simple interest rate of 3.85%. How much will he return to her?
I need the equations and answer please
Answer:
$1673.25
Step-by-step explanation:
si year 1 = $1500 * 0.0385 =57.75 si yr 3 =57.75*3 = $173.25 return total = 1500+ 173.25 = $1673.25
What is the total surface area of a triangular prism.
3 (hight) × 8 (base) = 24
24 ÷ 2 = 12 (area of triangle)
12 × 2 = 24 (because there are 2 triangles)
5 × 7 = 35 (because length times width)
35 × 2 = 70 (because there are 2 rectangles)
8 × 7 = 56 (because of the base)
ANSWER24 + 12 + 24 + 35 + 70 + 56 = 221
setenta y uno por tres dividido 43
Answer:
4.95
Step-by-step explanation:
espero que te ayude
PLEASE HELP! KHAN ACADEMY (IS GREAT FOR EDUCATION BUT SUCKY FOR ME BECAUSE I DON’T WANT TO DO SCHOOLWORK! PLEASE ANSWER!
Answer:
I'm getting 24 frames per second. (Probably wrong)
Answer:
0.4
simple math, manly diveding
What is the right angle of C
Answer:
50
Step-by-step explanation:
A full circle is 360. The half circle you're looking at is 180.
So 180-65-65
please please help! :)
Answer:
assuming the shape is a square
1. 90 degrees
2. 45 degrees
3. 45 degrees
4. 90 degrees
Step-by-step explanation:
maths and angles
Which of the following are accurate descriptions of the distribution below Choose all answere that aply
We have that the distribution has a peak from 40 - 45 hours. [Option B].
A straw is placed inside a rectangular box that is 2 inches by 1 inches by 3 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in the simplest radical form.
The length of the straw is 3.74 inches.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
In rectangular box,
Length (l) = 2 inches
Width (w) = 1 inches
Height (h) = 3 inches
Here, The straw is said to fit into the box diagonally from the bottom.
So, the length (s) of the straw is calculated as:
⇒ s = √ l² + w² + h²
⇒ s = √ 2² + 1² + 3²
⇒ s = √ 4 + 1 + 9
⇒ s = √ 14
⇒ s = 3.74 inches
Thus, The length of straw = 3.74 inches
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The length of the straw will be 3.7416 inches long in radical form.
What is Length of diagonal in cuboid?If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula : X²=l²+b²+h²
Here,
As per the question the length of the straw is equal to length of the diagonal of Rectangular box.
l= 3 inch , b= 2 inch , h= 1 inch
Let us consider the length of the straw be 'x'.
As, Diagonal of Cuboid is,
X²=14
X=√14
i.e. X=3.7416
We get, X= 3.7416 (in radical form)
Hence, the length of the straw will be 5.91607 inches.
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Ok guys last question so PLEASE get this right!!! (no links or reported)
2 inch is 10 miles
0.5 inch is 2.5 miles
so it is 12.5 square miles?
Answer:
156.25 square miles
Step-by-step explanation:
set up a proportion:
1/5 = 2.5/x
cross-multiply to get 'x'
x = 12.5
To get area you must square 12.5
12.5² = 156.25 square miles
the gallup poll reported that 52% of americans used a seat belt the last time they got into a car. if 5 people are selected at random, find the probability that they all used a seat belt the last time they got into a car. please round the final answer to 2 or 3 decimal places.
The probability that they all used a seat belt the last time they got into a car is 0.038.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
Percentage of Americans who used a seat belt the last time they got into a car = 52%
Corresponding probability = 52/100 = 0.52
If 5 people are selected at random,
Probability that they all wear seat belt is,
P = 0.52 × 0.52 × 0.52 × 0.52 × 0.52
= (0.52)⁵
= 0.038
Hence the required probability is 0.038.
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