Answer:
6
Step-by-step explanation:
63-15 =48 48/8 is 6
Answer:
x = 6
Step-by-step explanation:
8x + 15 = 63
8x = 63 - 15
8x = 48
x = 48/8
x = 6
Two chemists working for a chicken fast-food company, have been producing a very popular sauce. Let’s call then Jesse and Mr. White. Gus, their boss, is tired of Mr. White’s negative attitude and is thinking about "firing" him and keeping only Jesse on the payroll. The problem, however, is that Mr. White seems to produce a higher quality sauce whenever he is in charge of production if compared to Jesse. Before making a final decision, Gus collected some data measuring the quality of different batches of sauce produced by Mr. White and Jesse. We assume the quality measurements for both of them are normally distributed with the common variance. The results, measured on a quality scale, are listed below:
Mr. White 97 1 7
Jesse 94 3 10
a. Based on this data, can we tell for sure (with 95% confidence) which one is the better chemist?
b. Gus wants to keep the mean quality score for the sauce above 90. In this case, can he can rid of Mr. White, i.e., is Jesse good enough to run the sauce production?
Answer:
Check the explanation
Step-by-step explanation:
Let [tex]\overline{x}[/tex] and [tex]\overline{y}[/tex] be sample means of white and Jesse denotes are two random variables.
Given that both samples are having normally distributed.
Assume [tex]\overline{x}[/tex] having with mean [tex]\mu_{1}[/tex] and [tex]\overline{y}[/tex] having mean [tex]\mu_{2}[/tex]
Also we have given the variance is constant
A)
We can test hypothesis as
[tex]H0: \mu_{1} = \mu_{2}H1: \mu_{1} > \mu_{2}[/tex]
For this problem
Test statistic is
[tex]T=\frac{\overline {x}-\overline {y}}{s\sqrt{\frac {1}{n1} +\frac{1}{n2}}}[/tex]
Where
[tex]s=\sqrt{\frac{(n1-1)*s1^{2}+(n2-1)*s2^{2}}{n1+n2-2}}[/tex]
We have given all information for samples
By calculations we get
s=2.41
T=2.52
Here test statistic is having t-distribution with df=(10+7-2)=15
So p-value is P(t15>2.52)=0.012
Here significance level is 0.05
Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.
We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.
Your teacher has 50 pencils. 9 of the pencils are green, 10 are yellow, 7 are
blue and the rest are red. Once a pencil is picked, assume it is not given
back to the teacher. What is the probability that the first 3 students pick a
yellow pencil, a blue pencil and a red pencil in that order? Is this a
dependent or independent event? *
A. Independent, 1/70
B. Dependent, 1/70
C. Independent, 41/3125
D. Dependent, 41/3125
Answer:
B. Dependent, 1/70
Step-by-step explanation:
The probability that the first pencil is yellow is 10/50.
There are now 49 pencils, so the probability that the second pencil is blue is 7/49.
There are now 48 pencils, so the probability that the third pencil is red is 24/48.
The total probability is (10/50) (7/49) (24/48) = 1/70.
Since the pencils aren't replaced after selection, each event changes the probability of the next, so the events are dependent.
Help ASAP giving BRAINLIEST! Am i correct?
Answer:
The answer is yes
Step-by-step explanation:
x-7 > 27
x> 27 +7
x > 34
Answer:
Yes
Step-by-step explanation:
We have the inequality:
x-7 > 27
To solve this, we have to get by itself. 7 is being subtracted from x. To undo this, add 7 to both sides, since addition is the opposite of subtraction.
x-7+7>27+7
x>34
So, your answer is correct
Will mark brianliest if correct,
If Oliver paid $22,how many times did he ride the Ferris wheel?
Math
If u need more information please tell me. Look at the picture
Answer:
11 times
Step-by-step explanation:
So if you look at the point where the line is on two real numbers at the top of the grid, it shows that it cost $10 for every 5 rides. So if you find the unit rate, divide 10 by 5 to see how much each ride cost, you get that each ride cost $2. Then just divide $22 by $2 and you get 11. Hope this helps, comment if you need more help
Prob-4 Pressurized air are being used in a manufacturing company in its daily operation. There are three compressors in service; two-screw type compressors, (S1 ,S2) and one-reciprocal type compressor,(R). Each compressor, at any given time, is either off (0), or on (1) . Assume that event A is denoted to reciprocal compressor (R) that is always off . Event B is denoted that at least one of the screw type of compressor is always on. Assume that all outcomes in event B are equally likely. If P(A∩B)=45% and P(A∪B)=93%. Compute the probability that all compressors are off
Answer:
The probability that all compressors are off = P(A ∩ B') = 0.18
Step-by-step explanation:
Event A is denoted to reciprocal compressor (R) that is always off.
Event B is denoted that at least one of the screw type of compressor is always on.
P(A) = Probability that the reciprocal compressor is off.
P(A') = Probability that the reciprocal compressor is on.
P(B) = Probability that at least one of the screw type of compressor is on.
P(B') = Probability that at least one of the screw type of compressor is off.
P(A ∩ B) = 45% = 0.45
P(A ∪ B) = 93% = 0.93
P(U) = P(A ∪ B) + P(A' ∩ B')
1 = 0.93 + P(A' ∩ B')
P(A' ∩ B') = 1 - 0.93 = 0.07
The probability that all compressors are off is given as P(A ∩ B')
P(A) = P(A n B') + P(A n B)
P(B) = P(A n B) + P(A' n B)
The question asks us to assume that all outcomes in event B are equally likely.
The possible outcomes in event B include
- The two compressors are on
- First compressor is on, second compressor is off
- Second compressor is on, first compressor is off
- both compressors are off
Since all the outcomes are equally likely, the probability that at least one of the two compressors is on = (3/4) = 0.75 = P(B)
P(B) = P(A n B) + P(A' n B)
0.75 = 0.45 + P(A' n B)
P(A' n B) = 0.75 - 0.45 = 0.30
P(A ∪ B) = P(A ∩ B') + P(A' ∩ B) + P(A ∩ B)
0.93 = P(A ∩ B') + 0.30 + 0.45
P(A ∩ B') = 0.93 - 0.30 - 0.45 = 0.18
Hope this Helps!!!
Children in 50 Households
Number of Children Number of
Households
0
5
1
11
2
13
3
10
4
9
5
2
Using a proportion, what can you infer about the number of households in her town that have more than thre
About 242 households have more than three children.
About 269 households have more than three children.
About 296 households have more than three children.
About 565 households have more than three children.
Answer:I think it’s 269 because when you do 1,350 divided by 50 it’s 27 then you add 9+2 to get 11/50 then you do 27x11 which gives you 270 and the closest answer to that is 269
Step-by-step explanation:
Answer:
About 296 households have more than three children.
Step-by-step explanation:
I got it right on edge
i will rate you
brainliest PLZ HELP
You will get 25 points
Answer:
i can not see the picture can you describe it
Step-by-step explanation:
what is the equation of the line?
Answer:
y=a
Step-by-step explanation:
Zoe says an equilateral triangle is always an acute triangle, but an acute triangle is never an equilateral triangle. Which statement explains whether Zoe is correct or not?
Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.
Zoe is not correct because equilateral triangles have three acute angles. Acute triangles have three acute angles, so acute triangles are always equilateral triangles.
Zoe is correct because equilateral triangles have three sides of equal length, and acute triangles have three sides of different lengths.
Zoe is correct because equilateral triangles have three acute angles. Acute triangles have one acute angle, so an acute triangle cannot be an equilateral triangle.
THE ANSWER IS NOT C
Answer:
Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.
Step-by-step explanation:
Logically, it makes no sense for Zoe to say, in effect, ...
"All E are A, but A are never E."
That is incorrect on its face. At least, it means that "sometimes A are E."
__
The appropriate choice is the first one:
Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.
My ice maker created the perfect cube today. Each side was 22 mm.
What is the volume of the ice cube?
The lengths of pregnancies are normally distributed with a mean of 250 days and a standard deviation of 15 days.
a. Find the probability of a pregnancy lasting 308 days or longer?
b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.
Answer:
a) 0.005% probability of a pregnancy lasting 308 days or longer
b) The pregnancy length that separates premature babies from those who are not premature is 229 days.
Step-by-step explanation:
Problems of normally distributed samples can be solved using 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 = 250, \sigma = 15[/tex]
a. Find the probability of a pregnancy lasting 308 days or longer?
This is 1 subtracted by the pvalue of Z when X = 308. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{308 - 250}{15}[/tex]
[tex]Z = 3.87[/tex]
[tex]Z = 3.87[/tex] has a pvalue of 0.99995
1 - 0.99995 - 0.00005
0.005% probability of a pregnancy lasting 308 days or longer
b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.
The 8th percentile is X when Z has a pvalue of 0.08. So it is X when Z = -1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.405 = \frac{X - 250}{15}[/tex]
[tex]X - 250 = -1.405*15[/tex]
[tex]X = -1.405*15 + 250[/tex]
[tex]X = 229[/tex]
The pregnancy length that separates premature babies from those who are not premature is 229 days.
A wall in Marcus’s bedroom is 8 2/5 feet high and 16 2/3 feet long. If he paints 1/2 of the wall blue, how many square feet will be blue?
77 feet^2
Explanation:
Area of the wall is
8 2/5 × 18 1/3
42/5 × 55/3
14/5 × 55/1
14/1 × 11/1 = 154 feet^2
The area we want is half of this
77 feet^2
Hope this helps and answer you question
helppppppppppppppppppp
Answer: im like 90 percent sure its c
Step-by-step explanation:
100 POINTS
PLEASE SOLVE WITH STEPS.
THANK YOU!!!
Answer:
y = -3π/2 x + π
Step-by-step explanation:
sin(xy) = ½
The slope of the tangent line is dy/dx. Take the derivative of both sides with respect to x. You'll need to use chain rule and product rule.
cos(xy) (x dy/dx + y) = 0
x dy/dx + y = 0
x dy/dx = -y
dy/dx = -y/x
At x = ⅓ and y = π/2:
dy/dx = -(π/2) / ⅓
dy/dx = -3π/2
Using point-slope form of a line:
y − π/2 = -3π/2 (x − ⅓)
Simplifying to slope-intercept form:
y − π/2 = -3π/2 x + π/2
y = -3π/2 x + π
Which equation represents a nonlinear function?
A) y=2(x-1)+5
B)y=5x(x-2)
C) y=5x-2
D)y=2x(5-1)
Answer:
B.)
Step-by-step explanation:
A linear equation, remember, is y = mx + b.
Identify.
A.) y = 2x + 3
B.) y = 5x^2 - 10x
C.) y = 5x - 2
D.) y = 8x
Eliminate.
Obviously, B.) is not correct because it doesn't follow the y = mx + b format because 5x is squared.
Hope that helped.
What do scientist mean by flattening the curve and why is it important?
Answer:
MRCORRECT has answered the question
Step-by-step explanation:
Inhibiting new infections to reduce the number of cases at any given time—known as "flattening the curve"—allows healthcare services to better manage the same volume of patients.
Answer:
I believe it means to slow down the virus spreading to other people and to stay safe, avoid contact, and wash your hands to stop too many people from going into the hospital.
Step-by-step explanation:
What is the value of x?
12 units
15 units
20 units
24 units
Answer:
15 units
Step-by-step explanation:
After doing research, I found the problem. Here is the right answer:
Answer:
It's 20 :)
Step-by-step explanation:
Just took it on Edge.
Do you remember the difference between a row and a column
in Math?
Write a recursive formula for the sequence
-1,-2,-3,-4...
Answer:
f(1) = -1
f(n) = f(n-1) -1
Step-by-step explanation:
The first term is -1. Each term is 1 less than the previous. These equations say that.
f(1) = -1
f(n) = f(n-1) -1
estimate 3655 + 498 rounding off to the nearest hundred
Answer:4200
Step-by-step explanation:
3655+498=4153
4153 approximated to the nearest hundred is 4200
A pollen grain is 3/10 to the third power centimeters wide. In an illustration, the pollen grain is 6 centimeters 10 wide. How much larger is the illustration than the actual pollen?
Answer:
The illustration is approximately 226 times larder than the actual pollen grain.
Step-by-step explanation:
First of all, we have to write out the size of the actual pollen grain in a manner that is easy for us to work with.
This will be
[tex](\frac{3}{10}) ^{3}=0.027cm[/tex] wide
The original width of the pollen is 0.027 cm.
Next,
We can take the width of the illustration to be 6.10 cm wide.
After this,
To get the magnification factor, we will have to use the formula
Magnification = illustrated size/ actual size
This will be the magnification = [tex]6.10/0.027[/tex] = 255.92 times
Hence, the illustration is approximately 226 times larder than the actual pollen grain.
Jean Paul laying in his bathroom. The room measured 10 feet in length and 6 feet in width. What is the area of the bathroom.
Answer:
60 ft^2
Step-by-step explanation:
6x10
get off of the bathrrom floor jean you sicko
Answer:
6 x 10 = 60 ft.^2
(A = b h)
Step-by-step explanation:
Why is he laying on his bathroom floor/tub/whatever-
Area is base times height. (length times width, if you will)
10 x 6
=60
What does the constant 2.2 in L(D) represent?
Answer:
The constant 2.2 in L(D) represent the brightness in lumens per square inch.
Step-by-step explanation:
Find the prime factorization of the integer -32
Answer:-32=-2 x -2 x -2 x -2 x -2
Step-by-step explanation:
-32=-2 x -2 x -2 x -2 x -2
Collete mapped her vegetable garden on the graph below. Each unit represents 1 foot.
Collete plants an 8-foot row of lettuce in the garden. Which points could tell where the row of
lettuce starts and ends?
(-4,-1) and (-4,7)
| (-1, –4) a (
74)
(-1,-6) and (8,-6)
(-6, -1) and (-6,8)
Answer:
(-4,-1) and (-4,7)Step-by-step explanation:
If Collete planted a row of lettuce, that means their coordinates must have the same vertical coordinate, or the same horizontal coordinate. Another important characteristic is that between those points, there must have 8 units of separation, because it's an 8-foot row.
Only the first choice offers these characteristic to properly represent the row of plants with 8 feet distance between the first and the last plant.
Therefore, the answer is (-4,-1) and (-4,7)
Answer:
(-4, -1) and (-4, 7)
Step-by-step explanation:
I did the quiz
PLEASE ANSWER AS QUICKLY AS POSSIBLE
Answer: D
Step-by-step explanation: Both the Equality property and the Identity property
The difference between the most hours of sleep and the least of these students was 2.5 hours. True or false?
The correct anwer is False
Explanation
According to the graph, it can be seen that a student has four hours of sleep as the minimum number of hours of sleep; two students have six hours of sleep, four students have six and a half hours of sleep, four have seven hours of sleep, three have seven and a half hours of sleep, five have eight hours of sleep, and one has eight and a half hours of sleep as maximum hours of sleep. Therefore, it can be affirmed that the statement that the difference between the maximum amount and the minimum number of hours is two and a half hours is false because between four hours and eight and a half hours there are four and a half hours of difference. So, the correct answer is False.
Solve for a .
5 a - 2 = 23
a =
Answer:
A=5
Step-by-step explanation:
5 times 5 is 25
25-2 is 23
Find the area of the shape plssss help
ok so find the area of thesquare then triangles and then add them tiriange area is 1/2 times base times heightso 1/2 times 2 times 2 which is 4 divided by 2 which is 2 same with the other traingle so your total area for the traingles is 4. The area for the square is 2 times 2 which is 4. add them up yiouget the whole shape is 8 units squared Answer: 8 units squared
Step-by-step explanation:
Which expression is equivalent to (1/16)^-4?
Answer:
Answer: Option B. 16^4 is the correct answer.
Step-by-step explanation:
Answer:
Step-by-step explanation:
b
