Answers
Answer:
it is c
Step-by-step explanation:
You have to line up the graph and see then your gonna wanna solve it from there hope this helps
Related Questions
A 6-kilogram bag of cat food costs $21.54. What is the unit price?
Answers
Answer:0.27855153
A
−
0.04642525
kilograms per dollar
Step-by-step explanation:
An electrical firm manufactures light bulbs that have a life, before burn-out, that is normally distributed with mean of 800 hours and standard deviation of 40 hours.
A. Find the probability that a bulb burns between 778 and 834 hours.
B. A random sample of 40 bulbs from that firm is selected. What is the probability that the average light bulb life is at least 820 hours?
Answers
Answer:
(A) The probability that a bulb burns between 778 and 834 hours is 0.51118.
(B) The probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs is 0.00079
Step-by-step explanation:
Let X denote the life time of light bulbs.
It is provided that X follows a normal distribution with mean of 800 hours and standard deviation of 40 hours.
(A)
Compute the probability that a bulb burns between 778 and 834 hours as follows:
[tex]P(778<X<834)=P(\frac{778-800}{40}<\frac{X-\mu}{\sigma}<\frac{834-800}{40})\\\\=P(-0.55<Z<0.85)\\\\=P(Z<0.85)-P(Z<-0.55)\\\\=0.80234-0.29116\\\\=0.51118[/tex]
Thus, the probability that a bulb burns between 778 and 834 hours is 0.51118.
(B)
Compute the probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs as follows:
[tex]P(\bar X\geq 820)=P(\frac{\bar X-\mu}{\sigma/\sqrt{n}}\geq \frac{820-800}{40/\sqrt{40}})\\\\=P(Z>3.16)\\\\=1-P(Z<3.16)\\\\=1-0.99921\\\\=0.00079[/tex]
Thus, the probability that the average light bulb life is at least 820 hours in a random sample of 40 bulbs is 0.00079
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.5111 = 51.11% probability that a bulb burns between 778 and 834 hours.b) 0.0008 = 0.08% probability that the average light bulb life is at least 820 hours.Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 800 hours, hence [tex]\mu = 800[/tex].Standard deviation of 40 hours, hence [tex]\sigma = 40[/tex].Item a:
The probability is the p-value of Z when X = 834 subtracted by the p-value of Z when X = 778, hence:
X = 834:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{834 - 800}{40}[/tex]
[tex]Z = 0.85[/tex]
[tex]Z = 0.85[/tex] has a p-value of 0.8023.
X = 778:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{778 - 800}{40}[/tex]
[tex]Z = -0.55[/tex]
[tex]Z = -0.55[/tex] has a p-value of 0.2912.
0.8023 - 0.2912 = 0.5111
0.5111 = 51.11% probability that a bulb burns between 778 and 834 hours.
Item b:
Sample of 40, hence [tex]n = 40, s = \frac{40}{\sqrt{40}}[/tex].
The probability is 1 subtracted by the p-value of Z when X = 820, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{820 - 800}{\frac{40}{\sqrt{40}}}[/tex]
[tex]Z = 3.16[/tex]
[tex]Z = 3.16[/tex] has a p-value of 0.9992.
1 - 0.9992 = 0.0008
0.0008 = 0.08% probability that the average light bulb life is at least 820 hours.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
HELP ME OUT REALL FAST PLEASEE
Answers
Answer:
The answer is C because you have to multiply them both:)
Answer:
The answer is C
Step-by-step explanation:
What I'm about to write is overkill for this question, but it works for any common denominator. Factor the denominators.
10: 2 * 5
5 : 1 * 5
You need 1 five and 1 two. The answer is 10
The correct way to go about doing the question is to multiply the 5 by 2 and the 2 on top by 2
2*2/5*2 = 4/10
1/10 1 / 10
4/10 + 1/10
A genetic experiment with peas resulted in one sample of offspring that consisted of 438 green peas and 173 yellow peas.
Required:
a. Construct a 95â% confidence interval to estimate of the percentage of yellow peas.
b. It was expected thatâ 25% of the offspring peas would be yellow. Given that the percentage of offspring yellow peas is notâ 25%, do the results contradictâ expectations?
Answers
Answer:
a
The 95% confidence interval is [tex] 0.2474 < p < 0.3188 [/tex]
b
The result obtained does not contradict expectation
Step-by-step explanation:
From the question we are told that
The number of green peas is k = 438
The number of yellow peas is u = 173
Generally the sample size is mathematically represented as
[tex]n = k + u[/tex]
=> [tex]n = 438 + 173[/tex]
=> [tex]n = 611[/tex]
Generally the sample proportion for yellow peas is
[tex]\^ p = \frac{u}{n}[/tex]
=> [tex]\^ p = \frac{173}{611 }[/tex]
=> [tex]\^ p = 0.2831[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.96 * \sqrt{\frac{ 0.2831 (1- 0.2831)}{611} } [/tex]
=> [tex]E = 0.0357 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex] 0.2831 -0.0357 <p< 0.2831 + 0.0357[/tex]
=> [tex] 0.2474 < p < 0.3188 [/tex]
From the question we are told that it was expected that 25% of the offspring peas will be yellow
Now from the 95% confidence interval obtained we see that the expected sample proportion(25% ) falls within it so it means that the result obtained does not contradict expectation
8. Kim has a fever. Her temperature is 100.5 degrees Fahrenheit. Norr
temperature is 98.6 degrees Fahrenheit, How much above normal
temperature is Kim's fever?
Answers
Answer:
1.9 degrees above the normal temperture
Step-by-step explanation:
Normal temperture: 98.6 degrees Fahrenheit
100.5 - 98.6 = 1.9
If an initial amount A0 of money is invested at an interest rate i compounded times a year, the value of the investment after t years is If we let n = 8, that is referred to as the continuous compounding of interest. Use L' Hospital's Rule to show that if interest is compounded continuously, then the amount after years is A=A0eit
Answers
Answer:
Following are the solution to the given point:
Step-by-step explanation:
Please find the comp[lete question in the attached file.
Given:
[tex]\bold{ \lim_{n \to \ \infty} (1+ \frac{r}{n})^{nt} =e^{rt}}[/tex]
In point 1:
[tex]\to y = (1+ \frac{r}{n})^{nt}[/tex]
In point 2:
[tex]\to \ln (y)= nt \ln(1+ \frac{r}{n})[/tex]
In point 3:
Its key thing to understand, which would be that you consider the limit n to[tex]\infty[/tex], in which r and t were constants!
[tex]=lim_{n \to \ \infty} \ln (y) = lim_{n \to \ \infty} nt \ln(1+\frac{r}{n})\\\\= lim_{n \to \ \infty} \frac{\ln(1+\frac{r}{n})}{\frac{1}{nt}}\\\\= lim_{n \to \ \infty} \frac{\frac{-r}{\frac{n^2}{(1+\frac{r}{n})}}}{- \frac{1}{n^2t}}\\\\= lim_{n \to \ \infty} \frac{\frac{rn^2t}{n^2}}{(1+\frac{r}{n})}\\\\= lim_{n \to \ \infty} \frac{rt}{(1+\frac{r}{n})}\\\\= \frac{rt}{(1+\frac{r}{0})}\\\\=rt[/tex]
In point 4:
[tex]\to \lim_{n \to \ \infty} = (1+\frac{r}{n})^{nt}[/tex] and
[tex]\to \lim_{n \to \ \infty} = A_0e^{rt}[/tex]
Tom is the custodian at the local highschool. He has a circular key ring with 9 keys on it. How many different arrangements of those keys can Tom make on his key ring?
Answers
tom will have his key 10
Answer:
40,320.. took the test on USA test prep
Step-by-step explanation:
plz help out i am so confused
Answers
Answer:
Me too not trying to get the points but how are u suppose to solve this anyway
Step-by-step explanation:
Remove the radical by raising each side to the index of the racial .
Exact Form:b=^8 square root 357569423794.101 , - 357569423794.101
Decimal Form:b=27.80801870....,-27.8080187
write a linear equation in slope intercept form for a line that passes through the point 6,-2 and has a slope of -2/3
Answers
y=0.625x+1.75 is the equation for your problem.
Amaia purchased two blouses and a skirt for a total of $32. The sales tax rate is 8%. How much total sales tax will Amaia pay on these items?
Answers
Answer:
2.56
Step-by-step explanation:
8% of 32 is 2.56
Check image giving brainliest to first correct answer
Answers
Answer:
7
Step-by-step explanation:
So:a=3
b=(-2)
c=2
Substitute the numbers into each letters
so a is represented by 3,c by 2 and b -2
therefore giving us: 2
3+(-2)=9+(-2)=7
What is the polynomial of least degree with the given zeroes -2 and 4?
Answers
Answer:
-2
Step-by-step explanation:
base on my stuck knowledge
here is a list of number 51 38 48 36 39 40 39 47
WHAT is the median
Answers
Answer:
36
Step-by-step explanation:
Median is the Middle number in the sequence.
Hope this Helps!!
:D
36 38 39 40 47 48 51
So 40 is the median/middle number
If 39 twice is a typo and there are 8 numbers then average the two middle numbers (the 4th and 5th numbers)
Look at image which graph shows T (ABC)?
Answers
Answer:
A.
Step-by-step explanation:
That is a translation of 3 units left and 6 units down.
what is the answer to d- 48.60 = 80.00
Answers
Answer:
31.4
Step-by-step explanation:
You subtract 80.00 from 48.60, and you get your answer 31.4
Answer:
128.6
Step-by-step explanation:
You have to do the inverse operation.
So you add 48.60 to each side of the equation. This cancels out the -48.60 which isolates the variable. And on the other side of the equation it leaves you with 128.6. Therefore d = 128.6
You are trying to determine if you should accept a shipment of eggs for a local grocery store. About 4% of all cartons which are shipped have had an egg crack while traveling. You are instructed to accept the shipment if no more than 10 cartons out of the 300 you inspect have cracked eggs. What is the probability that you accept the shipment? (In other words, what is the probability that, at the most, you had 16 cartons with cracked eggs?)
a. 1012.
b. 3669.
c. 5319.
d. 4681.
e. 5832.
f. 6331.
Answers
Answer:
0.8809
Step-by-step explanation:
Given that:
The population proportion p = 4% = 4/100 = 0.04
Sample mean x = 16
The sample size n = 300
The sample proportion [tex]\hat p =\dfrac{x}{n}[/tex]
= 16/300
= 0.0533
∴
[tex]P(\hat p \leq 0.0533) = P\bigg ( \dfrac{\hat p - p}{\sqrt{\dfrac{P(1-P)}{n}}}\leq\dfrac{0.0533 - 0.04}{\sqrt{\dfrac{0.04(1-0.04)}{300}}}\bigg )[/tex]
[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{\sqrt{\dfrac{0.04(0.96)}{300}}}\bigg )[/tex]
[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{\sqrt{\dfrac{0.0384}{300}}}\bigg )[/tex]
[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{\sqrt{1.28 \times 10^{-4}}}\bigg )[/tex]
[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{0.0113}}\bigg )[/tex]
[tex]P(\hat p \leq 0.0533) = P\bigg ( Z\leq1.18}\bigg )[/tex]
From the z tables;
= 0.8809
OR
Let X be the random variation that follows a normal distribution;
Then;
population mean [tex]\mu[/tex] = n × p
population mean [tex]\mu[/tex] = 300 × 0.04
population mean [tex]\mu[/tex] = 12
The standard deviation [tex]\sigma = \sqrt{np(1-p)}[/tex]
The standard deviation [tex]\sigma = \sqrt{300 \times 0.04(1-0.04)}[/tex]
The standard deviation [tex]\sigma = \sqrt{11.52}[/tex]
The standard deviation [tex]\sigma = 3.39[/tex]
The z -score can be computed as:
[tex]z = \dfrac{x - \mu}{\sigma}[/tex]
[tex]z = \dfrac{16 -12}{3.39}[/tex]
[tex]z = \dfrac{4}{3.39}[/tex]
z = 1.18
The required probability is:
P(X ≤ 10) = Pr (z ≤ 1.18)
= 0.8809
1 point
The temperature in Anchorage, Alaska was 2 degrees Celsius below zero.
The next day, the temperature dropped 10 more degrees Celsius. Thanks to
a warm front, the temperature rose by 5 degrees Celsius. On the fourth
day, the temperature decreased by 13 degrees Celsius. What was the final
temperature in Anchorage, Alaska on the fourth day? *
20
Answers
Answer:
6 degrees Celsius
Step-by-step explanation:
It started at 2 degrees Celsius below zero. The next day, it dropped to 12 degrees Celsius below zero. The next day, it rose to 7 degrees below zero. The next day, it increased to 6 degrees ABOVE zero. -7+13=6
-2(b+5)= -6
What is b?
Answers
Answer:
-2
Step-by-step explanation:
It would be =
-2(-2 + 5) = -6
4 - 10 = -6
-10 and a positive four is a -6
The diameter of a circle is 44 what’s the radius
Answers
Answer:
22
Step-by-step explanation:
Please give me the correct answer.
Answers
Answer:
33
Step-by-step explanation:
greatest common factor of 20 and 10.
Answers
Answer:
1,2,5,10
Step-by-step explanation:
Greatest common factor is 10
Does f(x)=|x|+5 go up or down
Answers
Answer:
up
Step-by-step explanation:
postive, up!
Answer:
..........UP..........
Help plsssssssssssssssssssssss
Answers
angle?
Can yo help me w this pl
The table below represents equivalent ratios.
X y
6= 10
12 = 20
??= 45
Answers
Answer:
27
Step-by-step explanation:
6/10=12/20 because when you cross multiply, 120=120, so then you can do wither 6/10=x/45 and when you cross multiply you get 270=10x and 270/10=27.
Solve the following equations for x.
kx - b=3d + 7b
Answers
Answer:
x= 3d/k +8b/k i think
Step-by-step explanation:
The sales tax for an item was $18.60 and it cost $ 310 before tax. Find the sales tax rate. Write your answer as a percentage.
Answers
Graph this line using the slope and y-intercept:
Y= 1/8X + 4
Click to select points on the graph.
10
9
8
o
6
5
4
3
2
1
0
1
2
3
4
5
6
7
8
9
10
Submit
Answers
Answer:
98765432123459 that is te answer
Step-by-step explanation:
A snowboard shop charges $10, plus an additional #3 per hour to rent a snowboard. Write the equation for the line in slope-intercept form.
HURRY HELP PLS!!
Answers
Answer:
y = 3x + 10
Step-by-step explanation:
Answer:
im pretty sure it is (0,5) or (10,0)
Step-by-step explanation:
A triangle has angles that measure 54.6° and 17.8°. Which equation can be used to find the value of x, the measure of the third angle in the triangle?
Answers
Answer:
58.6 + 17.8 + x = 180
Step-by-step explanation:
hope this helps
What is the multiplicative inverse of 1 2/3
Answers
Answer:
sorry if im wrong but im pretty sure -5/3
Step-by-step explanation:
Answer:
2/1
Step-by-step explanation:
A calculator showed me that this was the answer. I would give you the link but I would probably get deleted. I already got warned so yeah.
Hope this helps!