Answer:
[tex]z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
And replacing we got:
[tex] z=\frac{4.3 -4.4}{\frac{1}{\sqrt{625}}}= -2.5[/tex]
And the best option would be:
d) -2.5
Step-by-step explanation:
For this problem we know that the true mean of trash every day is:
[tex]\mu =4.4[/tex]
And from the info given we also know that:
[tex]\bar X=4.3[/tex] represent the sample mean
[tex]n=625[/tex] sample size selected
[tex]\sigma = 1[/tex] the population standard deviation assumed
If we want to find the z score for the person we can use the following formula:
[tex]z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
And replacing we got:
[tex] z=\frac{4.3 -4.4}{\frac{1}{\sqrt{625}}}= -2.5[/tex]
And the best option would be:
d) -2.5
Please answer this correctly
Answer:
The second graph.
Step-by-step explanation:
0-9: 6 numbers
10-19: 2 numbers
20-29: 1 number
30-39: 3 numbers
40-49: 1 number
50-59: 2 numbers
60-69: 0 numbers
70-79: 5 numbers
80-89: 3 numbers
90-99: 1 number
HELP ME Answer it from the forst one to the last one with the rght answer please.This is Urgent so do it Faster if u now the answers
Step-by-step explanation:
2) 63
3) 7000
4) 10
These are some answers
Which fraction is equivalent to 20%?
Answer:
1/5
Step-by-step explanation:
20*5 = 100, so 20 is 1/5
A line has a slope of -3/2 and has a y-intercept of 3. What is the x-intercept of the line?
Answer:
x = 2
Step-by-step explanation:
the equation of the line can be found using the slope intercept form
y = mx +b
y= -3/2 x + 3
x intercept is found by setting y=0 bc that will give you the x-value at which the line crosses the x -axis so
0 = -3/2x+3 (subtract the 3 on both sides) would cancel out the + 3 and would
-3 = -3/2 x (divide by -3/2 on both sides to cancel out the -3/2)
x = 2
Allie Maxudywishes to retire 25 years. She has decided that she should be able to invest $5000 per year in her retirement fund. If she makes the payments in quarterly installments at the beginning of the each year, and earn an annual percentage rate of 8% on her money how much she will have at the time of her retirement?
Answer:
$394,772.11
Step-by-step explanation:
This requires using compound interest as follows:
Principal = $5,000
Time = 25 years
Interest rate per annum = 8%
1st year: principal = 5000
Interest capitalized (5000*0.08) = 400
Amount (5000 + 400) = $5400
2nd year: principal = 5400 + 5000 = 10,400
Interest capitalized (10,400*0.08) = 832
Amount (10,400 + 832) = $11,232
3rd year: principal = 11,232+5000 = $16,232
Interest capitalized (16,232*0.08) = 1,298.56
Amount (16,232+1,298.56) = $17,530.56
4th year: principal = 17,530.56+5000 = $22,530.56
Interest capitalized (22,530.56*0.08) = 1,802.45
Amount (22,530.56+1,802.45) = $24,333.01
5th year: principal = 24,333.01+5000 = $29,333.01
Interest capitalized (29,333.01 * 0.08) = 2,346.64
Amount (29,333.01 + 2,346.64) = $31,679.65
6th year: principal = 31,679.65 + 5000 = $36,679.65
Interest capitalized (36,679.65 * 0.08) = 2,934.37
Amount (36,679.65 + 2,934.37) = $39,614.02
7th year: principal = 39,614.02 + 5000 = $44,614.02
Interest capitalized (44,614.02 * 0.08) = 3,569.12
Amount (44,614.02 + 3,569.12) = $48,183.14
8th year: principal = 48,183.14 + 5000 = $53,183.14
Interest capitalized (53,183.14 * 0.08) = 4,254.65
Amount (53,183.14 + 4,254.65) = $57,437.79
9th year: principal = 57,437.79 + 5000 = $62,437.79
Interest capitalized (62,437.79 * 0.08) = 4,995.02
Amount (62,437.79 + 4,995.02) = $67,432.81
10th year: principal = 67,432.81 + 5000 = $72,432.81
Interest capitalized (72,432.81 * 0.08) = 5,794.63
Amount (72,432.81 + 5,794.63) = $78,227.44
11th year: principal = 78,227.44 + 5000 = $83,227.44
Interest capitalized (83,227.44 * 0.08) = 6,658.20
Amount (83,227.44 + 6,658.20) = $89,885.64
12th year: principal = 89,885.64 + 5000 = $94,885.64
Interest capitalized (94,885.64 * 0.08) = 7,590.85
Amount (94,885.64 + 7,590.85) = $102,476.49
13th year: principal = 102,476.49 + 5000 = $107,476.49
Interest capitalized (107,476.49 * 0.08) = 8,598.12
Amount (107,476.49 + 8,598.12) = $116,074.61
14th year: principal = 116,074.61 + 5000 = $121,074.61
Interest capitalized (121,074.61 * 0.08) = 9,685.97
Amount (121,074.61 + 9,685.97) = $130,760.58
15th year: principal = 130,760.58 + 5000 = $135,760.58
Interest capitalized (135,760.58 * 0.08) = 10,860.85
Amount (135,760.58 + 10,860.85) = $146,621.43
16th year: principal = 146,621.43 + 5000 = $151,621.43
Interest capitalized (151,621.43 * 0.08) = 12,129.71
Amount (151,621.43 + 12,129.71) = $163,751.14
17th year: principal = 163,751.14 + 5000 = $168,751.14
Interest capitalized (168,751.14 * 0.08) = 13,500.09
Amount (168,751.14 + 13,500.09) = $182,251.23
18th year: principal = 182,251.23 + 5000 = $187,251.23
Interest capitalized (187,251.23 * 0.08) = 14,980.10
Amount (187,251.23 + 14,980.10) = $202,231.33
19th year: principal = 202,231.33 + 5000 = $207,231.33
Interest capitalized (207,231.33 * 0.08) = 16,578.51
Amount (207,231.33 + 16,578.51) = $223,809.84
20th year: principal = 223,809.84 + 5000 = $228,809.84
Interest capitalized (228,809.84 * 0.08) = 18,304.79
Amount (228,809.84 + 18,304.79) = $247,114.63
21st year: principal = 247,114.63 + 5000 = $252,114.63
Interest capitalized (252,114.63 * 0.08) = 20,169.17
Amount (252,114.63 + 20,169.17) = $272,283.8
22nd year: principal = 272,283.8 + 5000 = $277,283.8
Interest capitalized (277,283.8 * 0.08) = 22,182.70
Amount (277,283.8 + 22,182.70) = $299,466.5
23rd year: principal = 299,466.5 + 5000 = $304,466.5
Interest capitalized (304,466.5 * 0.08) = 24,357.32
Amount (304,466.5 + 24,357.32) = $328,823.82
24th year: principal = 328,823.82 + 5000 = $333,823.82
Interest capitalized (333,823.82 * 0.08) = 26,705.91
Amount (333,823.82 + 26,705.91) = $360,529.73
25th year: principal = 360,529.73 + 5000 = $365,529.73
Interest capitalized (365,529.73 * 0.08) = 29,242.38
Amount (365,529.73 + 29,242.38) = $394,772.11
Lard-O potato chips guarantees that all snack-sized bags of chips are between 16 and 17 ounces. The machine that fills the bags has an output with a mean of 16.5 and a standard deviation of 0.25 ounces. Construct a control chart for the Lard-O example using 3 sigma limits if samples of size 5 are randomly selected from the process. The center line is ____. The standard deviation of the sample mean is ____. The UCL
Answer:
- The center line is at 16.5 ounces.
- The standard deviation of the sample mean = 0.112 ounce.
- The UCL = 16.836 ounces.
- The LCL = 16.154 ounces.
Step-by-step explanation:
The Central limit theorem allows us to write for a random sample extracted from a normal population distribution with each variable independent of one another that
Mean of sampling distribution (μₓ) is approximately equal to the population mean (μ).
μₓ = μ = 16.5 ounces
And the standard deviation of the sampling distribution is given as
σₓ = (σ/√N)
where σ = population standard deviation = 0.25 ounce
N = Sample size = 5
σₓ = (0.25/√5) = 0.1118033989 = 0.112 ounce
Now using the 3 sigma limit rule that 99.5% of the distribution lies within 3 standard deviations of the mean, the entire distribution lies within
(μₓ ± 3σₓ)
= 16.5 ± (3×0.112)
= 16.5 ± (0.336)
= (16.154, 16.836)
Hope this Helps!!!
finding angle measures between intersecting lines.
Answer: x=45°
Step-by-step explanation:
Angles opposite from each other are equal. The angle 160 degrees in red on the bottom encompasses two angles: BEG and CEG. Angle BEG is on the opposite side as FEA which means it is equal to x.
Since angle FED on the other side is 115, you subtract 115 from 160 to get 45 degrees.
Answer: x=45°
The angle BEG, which is opposite to the angle FEA, is determined to be 45 degrees.
According to the information provided, in a figure with an angle of 160 degrees (red angle on the bottom), there are two angles labeled as BEG and CEG. It is stated that the angle BEG is opposite to the angle FEA, making them equal, so we can represent this angle as x.
Additionally, it is mentioned that the angle FED on the other side measures 115 degrees.
To find the value of x, we subtract 115 degrees from the angle of 160 degrees.
=160-115
= 45
Thus, the solution is x = 45°.
For more details about the angle visit the link below: https://brainly.com/question/16959514
#SPJ4
Please help. I’ll mark you as brainliest if correct!
Answer:
see below
Step-by-step explanation:
Subtracting 52 from the y-coordinate of a point moves its location on the graph down 52 units. y=f(x)-52 is shifted down by 52 units from y=f(x).
What is the greatest integer value of y for whic 5y - 20 < 0 ?
Answer:
3
Step-by-step explanation:
Step 1: Isolate y
5y < 20
y < 4
When we figure out the inequality, we see that y has to be less than 4. Therefore, the highest integer value will have to be 3.
How many solutions does 6-3x=4-x-3-2x have?
Answer:
no solutions
Step-by-step explanation:
6-3x=4-x-3-2x
Combine like terms
6-3x =1 -3x
Add 3x to each side
6 -3x+3x = 1-3x+3x
6 =1
This is not true so there are no solutions
Answer:
No solutions.
Step-by-step explanation:
6 - 3x = 4 - x - 3 - 2x
Add or subtract like terms if possible.
6 - 3x = -3x + 1
Add -1 and 3x on both sides.
6 - 1 = -3x + 3x
5 = 0
There are no solutions.
According to a Harris Poll in 2009, 72% of those who drive and own cell phones say they use them to talk while they are driving. If you wish to conduct a survey in your city to determine what percent of the drivers with cell phones use them to talk while driving, how large a sample should be if you want your estimate to be within 0.02 with 95% confidence.
Answer:
We need a sample of at least 1937.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
For this problem, we have that:
[tex]\pi = 0.72[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large a sample should be if you want your estimate to be within 0.02 with 95% confidence.
We need a sample of at least n.
n is found when M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.96\sqrt{\frac{0.72*0.28}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.96\sqrt{0.72*0.28}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.72*0.28}}{0.02}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.96\sqrt{0.72*0.28}}{0.02})^{2}[/tex]
[tex]n = 1936.16[/tex]
Rounding up to the nearest number.
We need a sample of at least 1937.
If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?
0.1
1/2
1
10
Que es el teorema del factor
Answer:
En álgebra, el teorema del factor es un teorema que vincula factores y ceros de un polinomio. Es un caso especial del teorema del resto polinómico.
Step-by-step explanation:
A film distribution manager calculates that 4% of the films released are flops. If the manager is correct, what is the probability that the proportion of flops in a sample of 667 released films would be greater than 5%
Answer:
9.34%
Step-by-step explanation:
p = 4%, or 0.04
n = Sample size = 667
u = Expected value = n * p = 667 * 0.04 = 26.68
SD = Standard deviation = [tex]\sqrt{np(1-p)} =\sqrt{667*0.04*(1-0.04)}[/tex] = 5.06
Now, the question is if the manager is correct, what is the probability that the proportion of flops in a sample of 667 released films would be greater than 5%?
This statement implies that the p-vlaue of Z when X = 5% * 667 = 33.35
Since,
Z = (X - u) / SD
We have;
Z = (33.35 - 26.68) / 5.06
Z = 1.32
From the Z-table, the p-value of 1.32 is 0.9066
1 - 0.9066 = 0.0934, or 9.34%
Therefore, the probability that the proportion of flops in a sample of 667 released films would be greater than 5% is 9.34%.
Find all real solutions of the equation.
x7 + 64x4 = 0
Answer:
Let's solve your equation step-by-step.
[tex]x^7+64x^4=0[/tex]
Step 1: Factor left side of equation.
[tex]x^4(x+4)(x^2-4x+16)=0[/tex]
Step 2: Set factors equal to 0.
[tex]x^4=0[/tex] or [tex]x+4=0[/tex] or [tex]x^2-4x+16=0[/tex]
[tex]x^4=0[/tex] or [tex]x=0[/tex]
Answer:
x=0 or x=0 or x=−4I hope this help you :)
a number minus 8 is no more than -3, write as an inequality
Answer:
11
Step-by-step explanation:
Please answer this correctly
Answer:
Hiking: 28%
Canoeing: 16%
Swimming: 24%
Fishing: 32%
Step-by-step explanation:
21 + 12 + 18 + 24 = 75 (there are 75 campers)
21 out of 75 = 28%
12 out of 75 = 16%
18 out of 75 = 24%
24 out of 75 = 32%
Hope this helps!
Please mark Brainliest if correct
The blenders produced by a company have a normally distributed life span with a mean of 8.2 years and a standard deviation of 1.3 years. What warranty should be provided so that the company is replacing at most 6% of their blenders sold?
Answer:
A warranty of 6.185 years should be provided.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 8.2, \sigma = 1.3[/tex]
What warranty should be provided so that the company is replacing at most 6% of their blenders sold?
The warranty should be the 6th percentile, which is X when Z has a pvalue of 0.06. So X when Z = -1.55.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.55 = \frac{X - 8.2}{1.3}[/tex]
[tex]X - 8.2 = -1.55*1.3[/tex]
[tex]X = 6.185[/tex]
A warranty of 6.185 years should be provided.
how to simplify 2x^2 - 18 =0
Answer:
X=3 or x= -3
Step-by-step explanation:
2x^2 - 18 =0
Take a common factor
2(x^2 - 9) = 0
2(x-3)(x+3)=0
X-3=0 or x+3=0
X=3 x=-3
Hope this helps!
Step-by-step explanation:
Hope this is correct
HAVE A GOOD DAY!
A well known social media company is looking to expand their online presence by creating another platform. They know that they current average 2,500,000 users each day, with a standard deviation of 625,000 users. If they randomly sample 50 days to analyze the use of their existing technology, identify each of the following, rounding to the nearest whole number if necessary:
(a) Mean users.
(b) Standard deviation.
(c) Sample mean.
Using the Central Limit Theorem, it is found that the measures are given by:
a) 2,500,000.
b) 88,388.35.
c) 2,500,000.
What does the Central Limit Theorem state?By the Central Limit Theorem, the sampling distribution of sample means of size n for a population of mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] has the same mean as the population, but with standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
Hence, we have that for options a and c, the mean is of 2,500,000 users, while for option b, the standard deviation is given by:
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{625000}{\sqrt{50}} = 88,388.35.[/tex]
More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213
Use the given function f(x)=|x| to graph g(x) =|x+2|-4
Answer:
see the attachment for a graph
Step-by-step explanation:
The vertex of f(x) is (0, 0). The transformation g(x) = f(x -h) +k moves the vertex to (h, k). That is, the graph is translated right by h units, and up by k units.
Your transformation has h = -2, and k = -4. That is, the original graph is translated left 2 units and down 4 units. The result is the blue curve in the attachment.
How many different triangles can you make if you are given
these three lengths for sides?
Answer:
Step-by-step explanation:
i think its 3
Answer:
0
Step-by-step explanation:
You cannot make any triangles with this angle
We claim that the average weight of our "product" is 50 pounds, with a standard deviation of 2 pounds. We take a sample of 50 units, with a mean of 49.95 pounds and a standard deviation of 1.9999 pounds. What is a 95% prediction interval for the mean weight of the NEXT unit of production from our process? Use Z for ease of calculation.
Answer:
49.95+/-0.5543
= ( 49.3957, 50.5043) pounds
the 95% confidence interval (a,b) = ( 49.3957, 50.5043) pounds
And to 2 decimal points;
the 95% confidence interval (a,b) = ( 49.40, 50.50) pounds
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 49.95 pounds
Standard deviation r = 1.9999 pounds
Number of samples n = 50
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
49.95+/-1.96(1.9999/√50)
49.95+/-1.96(0.282828570338)
49.95+/-0.554343997864
49.95+/-0.5543
= ( 49.3957, 50.5043) pounds
Therefore, the 95% confidence interval (a,b) = ( 49.3957, 50.5043) pounds
if x=2 find y 5x-y=5
Answer:
y=5
solution,
X=2
now,
[tex] \\ 5x - y = 5 \\ or \: 5 \times x - y = 5 \\ or \: 5 \times 2 - y = 5 \\ or \: 10 - y = 5 \\ or \: - y = 5 - 10 \\or \: - y = - 5 \\ y = 5[/tex]
hope this helps..
Good luck on your assignment..
Which of the following is not an undefined term?
point, ray, line, plane
Answer:
Step-by-step explanation:
Ray
Answer:
ray
Step-by-step explanation:
ray is a part of a line that has an endpoint in one side and extends indefinitely on the opposite side. hence, the answer is ray
hope this helps
Find the perimeter ? Plsss
Hey there!
Answer:
25.1 units.
Step-by-step explanation:
Calculate the lengths of sides AB, BC and AC. Use the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Solving for AB:
[tex]d = \sqrt{(4 -(-4))^2 + (5-(-1))^2}[/tex]
[tex]d = \sqrt{8^2 + 6^2}[/tex]
[tex]d = \sqrt{100}[/tex]
[tex]AB = 10[/tex]
Solving for BC:
This side is a vertical line, meaning simply find the difference of y values between each endpoint.
[tex]5-(-2) = 7[/tex]
[tex]BC = 7[/tex]
Solving for AC:
[tex]d = \sqrt{(4-(-4))^2 + (-2-(-1))^2}[/tex]
[tex]d = \sqrt{(8)^2 + (-1)^2}[/tex]
[tex]d = \sqrt{65}[/tex]
d≈ 8.06 units
Add up all of the side lengths:
10 + 7 + 8.06 = 25.06 ≈ 25.1 units.
pls help me I would be happy if do
Answer:
a prism is a three dimensional shape with the same width all the way through.
Step-by-step explanation:
Step-by-step explanation:
i think this will help.
f(x) = 2x – 1 g(x) = 7x – 12 What is h(x) = f(x) + g(x)?
Answer:
h(x)=9x-13Solution,
[tex]h(x) = f(x) + g(x) \\ \: \: \: \: \: \: \: = 2x - 1 + 7x - 12 \\ \: \: \: \: \: \: = 2x + 7x - 1 - 12 \\ \: \: \: \: \: \: = 9x - 13[/tex]
hope this helps...
Good luck on your assignment..
Answer:
h(x)=9x-13
Step-by-step explanation:
We want to find out what h(x) is. We know what h(x) is equal to, which is
h(x)= f(x)+g(x)
We know that f(x)=2x-1 and g(x)=7x-12. Substitute the expressions in.
h(x)= (2x-1)+(7x-12)
Simplify by combining like terms. Add all the terms with a variable (x), then all the terms without a variable, or constants.
h(x)=(2x+7x)+(-1+-12)
Add 2x and 7x.
h(x)=(2+7)(x)+(-1+-12)
h(x)= 9x+(-1+-12)
Add -1 and -12.
h(x)= 9x+(-13)
h(x)=9x-13
what is the inverse of the function f(x)=2x+1?
Answer:
Option 1.
Step-by-step explanation:
[tex]y=2x+1[/tex]
[tex]x=2y+1[/tex]
[tex]x-1=2y[/tex]
[tex]\frac{x-1}{2} = \frac{2y}{2}[/tex]
[tex]\frac{x-1}{2} = y[/tex]
[tex]\frac{1}{2}x -\frac{1}{2} = y[/tex]
Answer:
see the attachment
Step-by-step explanation:
You can find the inverse by swapping the variables and solving for y.
y = f(x) . . . . . original function
x = f(y) . . . . . variables swapped
x = 2y +1
x -1 = 2y . . . subtract 1
(x-1)/2 = y . . . divide by 2
y = (1/2)x -1/2 . . . expand
If the inverse function is named h(x), then it is ...
h(x) = x/2 -1/2
dakota received a bonus check for $2,500 and is going to deposit the money into a bank account that receives 5.5% compounded annually. What is dakotas account balance after five years?
Answer: $3267.40
Step-by-step explanation:
A = P (1+r/n)^nt
A= 2500 (1+0.055)^nt
A= 2500 x 1.30696
A = 3267.40