Answer:
Step-by-step explanation:
A vehicle purchased for $29,800 depreciates at a constant rate of 4%. Determine the approximate value of
the vehicle 10 years after purchase. Round to the nearest whole dollar.
Answer:
$44104
Step-by-step explanation:
Given data
Cost = $29800
Rate= 4%
Time= 10years
Applying the formula below, we can find the cost after 10 years as
A=P(1+r)^t
A= 29800(1+0.04)^10
A=29800(1.04)^10
A=29800*1.480
A=$44104
Hence the new cost is $44104
A company manufacturing computer chips finds that 8% of all chips manufactured are defective. In an effort to decrease the percentage of defective chips, management decides to provide additional training to those employees hired within the last year. After training was implemented, a sample of 450 chips revealed only 27 defects. A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate. The correct value of the Z-statistic is
Answer:
The correct value of the Z-statistic is z = -1.56
Step-by-step explanation:
A company manufacturing computer chips finds that 8% of all chips manufactured are defective.
This means that the null hypothesis is:
[tex]H_{0}: p = 0.08[/tex]
A hypothesis test is performed to determine if the additional training was effective in lowering the defect rate.
This means that the alternate hypothesis is:
[tex]H_{a}: p < 0.08[/tex]
z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.08 is tested at the null hypothesis:
This means that [tex]\mu = 0.08, \sigma = \sqrt{0.08*0.92}[/tex]
After training was implemented, a sample of 450 chips revealed only 27 defects.
This means that [tex]n = 450, X = \frac{27}{450} = 0.06[/tex]
The correct value of the Z-statistic is
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.06 - 0.08}{\frac{\sqrt{0.08*0.92}}{\sqrt{450}}}[/tex]
[tex]z = -1.56[/tex]
5. The coordinates of the points A and B are (0, 6)
and (8, 0) respectively.
() Find the equation of the line passing through
A and B
Given that the line y = x+1 cuts the line AB at
the point M, find
(ii) the coordinates of M,
(in) the equation of the line which passes
through Mand is parallel to the -axis,
(iv) the equation of the line which passes through
Mand is parallel to the y-axis.
Please awnser this for me
Answer:
B. 15 y +8 x/ 6 x y
Step-by-step explanation:
Combine the fractions by finding a common denominator.
Answer:
B
Step-by-step explanation:
Please help
I don't know how to salve it
Answer:
20
Step-by-step explanation:
trust me
Answer:
51.2
Step-by-step explanation:
Since it's a percentage all you have to do is multiply 32 by 1.6 because a 100 percent is equivalent to 1 so 160 percent is equivalent to 1.6.
simplify 14x(7xy^14)(-9x^-7 y^-3)
Answer:
-882y^11/x^5
Step-by-step explanation:
In semiconductor manufacturing, wet chemical etching is often used to remove silicon from the backs of wafers prior to metalization. The etch rate is an important characteristic in this process and known to follow a normal distribution. Two different etching solutions have been compared, using two random samples of 10 wafers for each solution. Assume the variances are equal. The etch rates are as follows (in mils per minute):
Solution 1 Solution 2
9.9 10.6 10.5 10.2
9.4 10.3 10.6 10.2
9.3 10.0 10.7 10.7
9.6 10.3 10.4 10.4
10.2 10.1 10.5 10.3
Required:
a. Construct normal probability plots for the two samples. Do these plots provide support for the assumptions of normality and equal variances? Write a practical interpretation for these plots.
b. Do the data support the claim that the mean etch rate is the same for both solutions? In reaching your conclusions, use α = 0.05 and assume that both population variances are equal. Calculate a P-value.
c. Find a 95% confidence interval on the difference in mean etch rates
im really smart (no im not thats why im here)
i need help with this
9514 1404 393
Answer:
26
Step-by-step explanation:
The question is asking the fraction equivalent of 0.26 (twenty-six hundredths).
That fraction is 26/100 (twenty-six hundredths). The missing number is 26.
Easy question look at the photo
Answer:
C = 62
Step-by-step explanation:
PLEASE HELP I HAVE NO IDEA HOW TO DO SLOPES
Step-by-step explanation:
(0, 4) (4, 0)
(0-4)/(4-0) = -4/4= -1 is the slope
A geologist examines 18 water samples for iron concentration. The mean iron concentration for the sample data is 0.272 cc/cubic meter with a standard deviation of 0.0851. Determine the 99% confidence interval for the population mean iron concentration. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The critical value that should be used in constructing the confidence interval is T = 2.898.
The 99% confidence interval for the population mean iron concentration is between 0.214 cc/cubic meter and 0.33 cc/cubic meter.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.898\frac{0.0851}{\sqrt{18}} = 0.058[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.272 - 0.058 = 0.214 cc/cubic meter.
The upper end of the interval is the sample mean added to M. So it is 0.272 + 0.058 = 0.33 cc/cubic meter.
The 99% confidence interval for the population mean iron concentration is between 0.214 cc/cubic meter and 0.33 cc/cubic meter.
HELP PLEASE IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.
Answer:
If I did this right the perimeter is 83.7 and the area is 257.1
Explanation:
the perimeter is all sides added so 15+8+8+6.7+20+26 = 83.7
To make adding the area easier, we would separate it into different shapes.
Area of a Triangle: (b x h)/2
(15x9)/2 = 45 since it's a triangle
8x9 = 72
20x6 = 120
(6x6.7)/2 = 20.1 since it's also a triangle
45 + 72 + 120 + 20.1 = 257.1
Find arc DC please help me
Answer:
arc ABC = 196°
arc DC = 360 - 196 - 70 = 94° (which looks out of proportion, but so does angle D)
Step-by-step explanation:
arc ABC = 2(∠D) = 2(98°) = 196°
What is the answer please help if you put a link I will report
Answer:
true.
Step-by-step explanation:
can someone help please
Order these numbers from least to greatest:
|-17|
|-18|
-18
|19|
20
Answer: -18, l-17l, l-18l, l19l, 20
Step-by-step explanation: You can just think of the ones in absolute value brackets as positive.
Which value of c completes the square in the expression x2 + 14x + c?
A.-49
B.-7
C.7
D.49
Dad spends $227.06 at the grocery store,$95.55 at the shoe store,and $35.16 at the dry cleaners how much did dad spend in all?
Answer:
$357.77
Step-by-step explanation:
Add all of the figures together to find the answer
227.06 + 95.55 + 35.16 = 357.77
It’s the end of the year I’m really not trying so anybody just help really
Answer: its D
Step-by-step explanation: because a - x - is a positive so you add them
Given that (-3,-1) is on the graph of f(x), find
the corresponding point for the function
f(x-3).
Enter the correct answer.
OOOO
DONE
Clear all
00
G2
Please hurry and solve for 40 points
Answer:
x=3 y=-2
Step-by-step explanation:
Elimination would bring the equation to
3x=18
18/6 is 3
6-3y=12
-3y=6
y=-2
Find all solutions to 2sin(θ)=√3 on the interval 0≤θ<2π
Answer:
2sin(3θ) - √3 = 0
Step-by-step explanation:
sin(3θ) = √3/2
3θ = π/3 + 2kπ or 2π/3 + 2kπ, k = 0, ±1, ±2, ±3,...
θ = π/9 + 2kπ/3, 2π/9 + 2kπ/3
If k = 0, we get θ = π/9, 2π/9
If k = 1, we get θ = 7π/9, 8π/9
If k = 2, we get θ = 13π/9, 14π/9
Other values of k give values of θ lying outside of the interval [0, 2π).
We want to find all the solutions of 2sin(θ) = √3 on the interval 0 ≤ θ ≤ 2π. The only solution is θ = 1.05
So we want to solve the equation: 2sin(θ) = √3
First, we divide both sides by 2 to get:
sin(θ) = (√3)/2
Now remember the inverse sine function, it acts as follows:
Asin(sin(x)) = xsin(Asin(x)) = x
So we can apply this to both sides to get:
Asin(sin(θ)) = Asin((√3)/2)θ = Asin((√3)/2) = 1.05
And because we know that the period of the sine function is 2π, we know that there is only one solution on the range between 0 and 2π, then the only solution in the interval is:
θ = 1.05
If you want to learn more, you can read:
https://brainly.com/question/12015707
A simple random sample of 150 people who completed the ESPN 2019 Tournament Bracket was selected, and 81 out of the 150 people who completed the ESPN 2019 Tournament Bracket had their choice to become the national champion make the Final Four. If appropriate, use this information to calculate and interpret a 90% confidence interval for the proportion of all people who completed the ESPN 2019 Tournament Bracket whose choice to become the national champion made the Final Four.
Answer:
The answer is "0.54 and (0.4733, 0.6067)".
Step-by-step explanation:
Please find the complete question in the attachment file.
In question 1:
[tex]\to x=81\\\\ \to n=150\\\\ \to \hat{p}=\frac{x}{n}=\frac{81}{150}=0.54\\\\[/tex]
Hence the choice A is correct.
In point b:
Calculating Critical Value:
[tex]\to (Z_{\alpha/2})=1.64 \ \ \ \ \ \ \ \ \ \ (use \ \ z\ \ table)\\\\[/tex]
Calculating the Confidence intervals:
[tex]=\hat{p} \pm Z_{\alpha/2}\times \sqrt{\frac{\hat{p} \times (1-\hat{p}))}{n}}\\\\ =0.54 \pm 1.64\times \sqrt{\frac{0.0.54 \times (1-0.54)}{150}}\\\\ =0.54 \pm 0.0667\\\\ =(0.4733, 0.6067)\\\\[/tex]
Hence the choice a is correct.
The correct confidence interval is (0.4733, 0.6067).
What is the z critical value?The z critical test is conducted when the population standard deviation on a normal distribution is known and the sample size is greater than or equal to 30.
x = 81
n = 150
p = x/n =81/ 150
p = 0.54
So, the correct choice is A.
In point b
Critical Value:
[tex]Z_{\alpha /2} = 1.64[/tex]
the Confidence intervals:
= p±[tex]Z_{\alpha /2} \times \sqrt{\frac{p \times (1-p)}{n} }[/tex]
= 0.54 ± [tex]\\1.64 \times \sqrt{\frac{0.54 \times (1-0.54)}{150} }[/tex]
= 0.54 ± 0.0667
= (0.4733, 0.6067)
Hence, the choice A is correct.
Therefore, the correct confidence interval is (0.4733, 0.6067).
Learn more about critical value:
https://brainly.com/question/5425085
Which choice is equivalent to the quotient below?
Find -3(6m-8)+(-4+2m).
Answer: − 16 m + 20
Step-by-step explanation:
Answer:
m = 5/4
Step-by-step explanation:
If you can buy 48 plantains for $24, then how many can you buy with $4?
Answer:
Step-by-step explanation:
I believe the answer is 8 plantains. For $12 you can buy 24 plantains, for $24 you can buy 48 plantains. Now we know that it is going to be times 2. This means you could get 8 plantains.
Hope this helps!
Can someone please help thx:)
Answer:
x = 35
Step-by-step explanation:
Angles sum of a triangle = 180
That being said we want to create an equation to solve for x
180 = 2x - 8 + x - 7 + 90 ( there is a right angle indicated by the little square; a right angle has a measure of 90 degrees, so just in case you were wondering that's where the 90 came from )
now we solve for x
step 1 combine like terms
2x + x = 3x
90 - 7 - 8 = 75
now we have 180 = 75 + 3x
step 2 subtract 75 from each side
180 - 75 = 105
75 - 75 cancels out
Now we have 105 = 3x
step 3 divide each side by 3
105 / 3 = 35
3x/3=x
we're left with x = 35
2. How many radians are in a full circle? ?
ON
ㅇ
0 27
ㅇ
Answer:
1 radius in a full circle
Answer: 6.28 radians
Step-by-step explanation: I think pls BRAINLIEST
Find the radius of circle G below.
Which expression is equivalent to:
−6x+10−16
2(3x+10−8)
−2(3x−5+8)
−2x(3−5+8)
2x(−3−10−8)
Answer:
from the given equation
Step-by-step explanation:
eqn 1 = eqn 3= eqn 4
these all are equivalent