Answer:
5
Step-by-step explanation:
5 plus 5 more than 5 is 15
!ANSWER QUESTIONS! PLEASE!
Answer:
1. y-intercept = 4 ⇒ slope = [tex]\frac{1}{3}[/tex]
2. y-intercept = -2 ⇒ slope = [tex]-\frac{3}{5}[/tex]
3. y-intercept = 1 ⇒ slope = 4
4. y-intercept = 3 ⇒ slope = [tex]-\frac{3}{2}[/tex]
5. y-intercept = 4 ⇒ slope = 1
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-interceptLet us solve the questions using the form above
1. y = [tex]\frac{1}{3}[/tex] x + 4
∵ m = [tex]\frac{1}{3}[/tex] and b = 4
∴ y-intercept = 4 ⇒ slope = [tex]\frac{1}{3}[/tex]
2. y = [tex]-\frac{3}{5}[/tex] x - 2
∵ m = [tex]-\frac{3}{5}[/tex] and b = -2
∴ y-intercept = -2 ⇒ slope = [tex]-\frac{3}{5}[/tex]
3. y = 4x + 1
∵ m = 4 and b = 1
∴ y-intercept = 1 ⇒ slope = 4
4. y = [tex]-\frac{3}{2}[/tex] x + 3
∵ m = [tex]-\frac{3}{2}[/tex] and b = 3
∴ y-intercept = 3 ⇒ slope = [tex]-\frac{3}{2}[/tex]
5. y = x + 4
∵ m = 1 and b = 4
∴ y-intercept = 4 ⇒ slope = 1
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?
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
what's the answer please I need one
200+ 270-56=
Answer:
414
Step-by-step explanation:
20POINTS WILL MARK BRANLIEST PLSS
The layout of a city park is pictured in the figure above. Park managers would like to find the distance of segment DE, in order to build a walkway across the middle of the park. The park managers look up the distance of segments BC and AB in the city records. If the length of segment AB is determined to be 562 feet, what is the distance of mid-segment DE in feet?
Select one:
A. 220
B. 244
C. 276
D. 281
1) A golf store pays its wholesaler $40 for a certain club, and then sells it to
a golfer for $75. What is the markup rate?
Answer:
69
Step-by-step explanation:
+#:2:$;$;$:*&#::jsgsvszgsvvsvs
Answer:
35 dollars
Step-by-step explanation:
I dont know if you need a percent or not
Simplify x^-5
please please I need it please please please please please please
Answer:
[tex]1/x^5[/tex]
Step-by-step explanation:
[tex]x^-^y = 1/x^y[/tex]
Answer:
1/x^5
Step-by-step explanation:
When you have a negative exponent, you have to put 1 over that power without the negative sign in the exponent. You put 1 over x^5
Answer: 1/x^5
greatest common factor of 20 and 10.
Answer:
1,2,5,10
Step-by-step explanation:
Greatest common factor is 10
y=−1/3x+4 Then plot two points to graph the equation.
PLEASE HELP ASAP
Given the information in the diagram below, find the measure of angle N. Use complete sentences to show how you found this answer. In your written response, include key vocabulary terms.
Answer:
76
Step-by-step explanation:
j and k are the same size and every triangle equals 180
64+64=128
180-128=52
L=52
l and m are the same
52+52=104
180-104= 76
n=76
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?
Answer:
2.56
Step-by-step explanation:
8% of 32 is 2.56
What is the polynomial of least degree with the given zeroes -2 and 4?
Answer:
-2
Step-by-step explanation:
base on my stuck knowledge
Jason used a graphing tool to find the equation of the line of best fit in this scatter plot. After reading the equation of the line from the graphing tool, Jason wrote in his notebook that the line of best fit is represented by the equation y = 0.316x + 9.105. Jason likely an error when writing the equation in his notebook because the slope and the y-intercept of the equation he wrote.
Answer: Jason likely MADE an error when working the equation in his notebook because ONLY THE Y-INTERCEPT MATCHES the slope and the y-intercept of the equation he wrote.
Step-by-step explanation:
I’ll give Brainly! What is the solution to x - 5 = 27?
A) 135
B) 22
C) 27
D) 32
Answer: D) 32
Step-by-step explanation:
1. You have to add 5 on both side which you get x=32
2. x=32 which means 32 is the # for x
:)
A 6-kilogram bag of cat food costs $21.54. What is the unit price?
Answer:0.27855153
A
−
0.04642525
kilograms per dollar
Step-by-step explanation:
Help plsssssssssssssssssssssss
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
Answer:
98765432123459 that is te answer
Step-by-step explanation:
plz help me it makes nooo sense
Answer:
The triangle on the left for a is 79 degrees and the one to the right is 63 degrees
Step-by-step explanation:
A triangle is equal to 180 degrees and to find the missing side you subtract the two values that you have to get the missing one.
type 900 words in 15 min how many words permin
Answer:
60 wpm
Step-by-step explanation:
900/15
Answer:
60
words is the answer.
Step-by-step explanation:
ok
plz help out i am so confused
Answer:
Me too not trying to get the points but how are u suppose to solve this anyway
Step-by-step explanation:
what is the answer to d- 48.60 = 80.00
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
Check image giving brainliest to first correct answer
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
Hi I’m confused marking Brainliest uhm show answer and show ur work pls thx
Answer:
See below.
Step-by-step explanation:
Total weekly salary:
regular weekly salary + amount from working over 40 hours
In one full week of 40 hours of work, you earn a regular salary of $340.
For each hour you work over 40 hours, you earn $12.50 per hour.
Let x = number of hours you work over 40 hours.
The amount you make from these extra hours is 12.5x
Your total weekly salary is
340 + 12.5x
You want your total weekly salary to be more than $490.
340 + 12.5x > 490
Answer:
answer
Step-by-step explanation:
Please give me the correct answer.
Answer:
33
Step-by-step explanation:
True False x-sqrt6 is a factor of x^4-36
The verenzo Narrows Bridge of the main span of 4260 ft Bridge has a man in Spain what is 53% longer what is the length of the span of the Akashi kaikyo Bridge the nearest Foot
Answer:
ehhhh???
Step-by-step explanation:
please helpssss rEeeEeeE
Answer:
The third one
Step-by-step explanation:
use process of elimination to find the answer
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?
Answer:
58.6 + 17.8 + x = 180
Step-by-step explanation:
hope this helps
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
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
The table below represents equivalent ratios.
X y
6= 10
12 = 20
??= 45
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.
Nori had 2 2/12 bags of apples he used 1 5/12 bags of apples to make pies how many bags of apples does nori have left
Answer:
2 2/12 1 5/12
2-1
1 2/12 - 5/12
7/12 bags of apples left
Step-by-step explanation: