Answer:
Step-by-step explanation:
The computer hardware company requires all of the chips purchased from its supplier of computer chips to meet the specification of 1.2 centimeters, with error margins of -0.1cm and +0.1cm
This means that the required length of computer chips is between 1.1cm - 1.3cm
Where 1.1cm = [1.2 - 0.1]
1.3cm = [1.2 + 0.1]
Based on the computer chips supplied last month, mean length was 0.9cm. This means that most of the chips were (in length) less than the lower boundary of 1.1cm.
The element that the production manager should consider in determining his company's ability to produce chips that meet specification is:
- The length of the chips.
The length of the chips his production team produces should be tailored to meet the length specification of his client.
Five times the sum of a number and 13 is 20. Find the number
Answer:
x = -9
Step-by-step explanation:
Step 1: Write out expression
5(x + 13) = 20
Step 2: Distribute
5x + 65 = 20
Step 3: Isolate x
5x = -45
x = -9
And we have our answer!
Answer:
-9
Step-by-step explanation:
Let the number be x.
5(x+13) = 20
Expand.
5x+65 = 20
Subtract 26 on both sides.
5x = 20 - 65
5x = -45
Divide 5 into both sides.
x = -45/5
x = -9
The number is -9.
Find the midpoint of AB when A=(1,-2) B=(1,-1)
Answer:
Midpoint Of AB = ( 1+1/2 , -2-1/2)
= (2/2 , -3/2)
= ( 1 , -1.5)
Hope this helps
Please mark Branliest.
Answer:
-2,0
Step-by-step explanation:
what is between 1/3 and 7/8 answer
Answer:
The number which is exactly in between 1/3 and 7/8 will be their average. The average = (1/3 + 7/8) / 2 = (8/24 + 21/24) / 2 = (29/24) / 2 = 29/48.
The city of Oakdale wishes to see if there is a linear relationship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a point estimate Kilowatt usage when the Temperature is 90 degrees outside?
The question is incomplete. The complete question is as follows.
The city of Oakdale wishes to see if there is a linear relantionship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a pont estimate Kilowatt usage when the Temperature is 90 degrees outside?
Temperature(x) Kilowatts(y)
73 680
78 760
85 910
98 1510
93 1170
83 888
92 923
81 837
76 600
105 1800
Answer: The point estimate is 1132.5 Kilowatts
Step-by-step explanation: Regression analysis is used to find an equation that fits the data. Once this equation is found, it's used to make predictions. One of the regressions is linear regression.
To find the linear regression model:
1) Create a table with the following: ∑y; ∑x; ∑xy; ∑x²; ∑y²;
2) Use these equations to find coefficients a and b:
a = (∑y)(∑x²) - (∑x)(∑yx) / n(∑x²) - (∑x)²
b = n(∑xy) - (∑x)(∑y) / n(∑x²) - (∑x)²
3) Substitute the coefficients into the equation of form: y = a + bx
For the table above, the linear regression equation is:
y = - 2004 + 34.85x
When Temperature is 90, i.e. x = 90:
y = - 2004 + 34.85*90
y = 1132.5
The estimate Kilowatt is 1132.5.
Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is summarized in the histogram below. 2 4 6 8 10 12 14 amount of sugar (mg) 60 80 100 120 140 160 180 200 Frequency What is the sample size for this data set
Answer:
The sample size for the data set = 56
Step-by-step explanation:
The sample size or number of individuals (n) is gotten from a histogram by summing up the total frequencies of occurrences.
In this example, the frequencies are: 2 4 6 8 10 12 14
Therefore, the sample size (n) is calculated as follows:
n = 2 + 4 + 6 + 8 + 10 + 12 + 14 = 56
Therefore the sample size for the data set = 56
The sample size for the data set = 56
Given that,
Data was collected for a sample of organic snacks.The calculation is as follows:
= 2 + 4 + 6 + 8 + 10 + 12 + 14
= 56
Learn more: https://brainly.com/question/15622851?referrer=searchResults
If the volume of a cube is
64 cubic feet, what is the
surface area of the cube in
square feet?
Answer:
96 ft^2
Step-by-step explanation:
volume=l^3
l=4
4x4x4=64
Surface area (4x4)=16
16x6=96
Answer:
SA =96 ft^2
Step-by-step explanation:
The volume of a cube is given by
V = s^3
64 = s^3
Take the cube root of each side
64 ^ 1/3 = s^3 ^ 1/3
4 =s
The side length si 4
The surface area of a cube is
SA = 6 s^2
SA = 6 * 4^2
SA = 6 * 16
SA =96 ft^2
Simplify 5^2 · 5^9 1. 5^11 2. 5^18 3. 25^11 4. 25^18
Answer:
Answer choice 1
Step-by-step explanation:
[tex]5^2\cdot 5^9= \\\\5^{2+9}= \\\\5^{11}[/tex]
Therefore, the correct answer choice is choice 1. Hope this helps!
Length of Triangles.
Answer:
9
Step-by-step explanation:
Since the scale factor is 12/8 = 1.5, to find LA we have to multiply FI by 1.5 which is 6 * 1.5 = 9.
Two random samples were drawn from two employers to obtain information about hourly wages. Use the following information and the PopMeanDiff template to determine if there is a significant difference in wages across the two employers.
Kroger Wal-Mart
Sample size 80 60
Sample mean $6.75 $6.25
Population standard deviation $1.00 $0.95
The p-value is _____.
a. 0.0026
b. 0.0013
c. 0.0084
d. 0.0042
Answer:
a) 0.0026
P- value is 0.0026
Step-by-step explanation:
Step(i):-
Given data
first sample size n₁= 80
mean of the first sample x⁻₁= $6.75
Standard deviation of the first sample (σ₁) = $1.00
second sample size (n₂) = 60
mean of the second sample( x₂⁻) = $6.25
Standard deviation of the second sample (σ₂) = $0.95
step(ii):-
Test statistic
[tex]Z = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{\frac{(S.D)_{1} ^{2} }{n_{1} } +\frac{(S.D)_{2} ^{2} }{n_{2} } } }[/tex]
Null Hypothesis :H₀: There is no significant difference in wages across the two employers.
x⁻₁= x₂⁻
Alternative Hypothesis :H₁: There is significant difference in wages across the two employers.
x⁻₁≠ x₂⁻
[tex]Z = \frac{6.75 -6.25 }{\sqrt{\frac{(1^{2} }{80 } +\frac{((0.95)^{2} }{60} } }[/tex]
Z = 3.01
P- value:-
Given data is two tailed test
The test statistic Z = 3.01
First we have to find the Probability of z-statistic
P(Z>3.01) = 1- P( z <3.01)
= 1- (0.5 + A(3.01)
= 0.5 - A(3.01)
= 0.5 - 0.49865 ( from normal table)
= 0.0013
P(Z>3.125) = 0.0013
Given two tailed test
P- value = 2 × P( Z > 3.01)
= 2 × 0.0013
= 0.0026
Final answer:-
The calculated value Z = 3.125 > 1.96 at 0.05 level of significance
null hypothesis is rejected
Conclusion:-
P- value is 0.0026
[tex]{f}^{4} = - 1[/tex]
O True
O False
?
Answer:
False.
Step-by-step explanation:
This statement is false, for any value of F because the power function with an even exponent is always positive or 0.
You have been assigned to determine whether more people prefer Coke or Pepsi. Assume that roughly half the population prefers Coke and half prefers Pepsi. How large a sample do you need to take to ensure that you can estimate, with 95% confidence, the proportion of people preferring Coke within 3% of the actual value? [Hint: proportion est. = 0.5] Round your answer to whole number
Answer:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11[/tex]
And rounded up we have that n=1068
Step-by-step explanation:
For this case we have the following info given:
[tex] ME=0.03[/tex] the margin of error desired
[tex]Conf= 0.95[/tex] the level of confidence given
The margin of error for the proportion interval is given by this formula:
[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)
the critical value for 95% of confidence is [tex] z=1.96[/tex]
We can use as estimator for the population of interest [tex]\hat p=0.5[/tex]. And on this case we have that [tex]ME =\pm 0.03[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11[/tex]
And rounded up we have that n=1068
Give the equation of the line parallel to a line through (-3, 4) and (-5, -6) that passes through the origin. y = 5x
Answer:
y = 5x
Step-by-step explanation:
First, find the slope of the first equation by doing rise/run
This gets you -10/-2 or 5
A parallel line will have the same slope. Since it goes through the origin, the y-intercept and b value will be zero
The equation will be y = 5x
Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that of the respondents did not provide a response, said that their experience fell short of expectations, and of the respondents said that their experience met expectations.A. If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations?B. If we chose an alumnus at random, what is the probability that the alumnus would say their experience met or surpassed expectations?
Answer:
Step-by-step explanation:
The question is incomplete. The complete question is:
Clarkson University surveyed alumni to learn more about what they think of Clarkson. One part of the survey asked respondents to indicate whether their overall experience at Clarkson fell short of expectations, met expectations, or surpassed expectations. The results showed that 4% of respondents did not provide a response, 26% said that their experience fell short of expectations, 65% of the respondents said that their experience met expectations (Clarkson Magazine, Summer, 2001). If we chose an alumnus at random, what is the probability that the alumnus would say their experience surpassed expectations? If we chose an alumnus at random, what is the probability that the alumnus would say their experience met or surpassed expectations?
Solution:
Probability = number of favorable outcomes/number of total outcomes
From the information given,
The probability that respondents did not provide a response, P(A) is 4/100 = 0.04
The probability that a respondent said that their experience fell short of expectations, P(B) is 26/100 = 0.26
The probability that a respondent said that their experience met expectations, P(C) is 65/100 = 0.65
A) Adding all the probabilities, it becomes 0.04 + 0.26 + 0.65 = 0.95
Therefore, the probability,P(D) that a respondent said that their experience surpassed expectations is 1 - 0.95 = 0.05
B) The event of a randomly chosen respondent saying that their experience met expectations and that their experience surpassed expectations are mutually exclusive because they cannot occur together. It means that P(C) × P(D) = 0
Therefore, the probability of P(C) or P(D) is 0.65 + 0.05 = 0.7
What is the slope of the line represented by the equation y = 4/5x - 3?
in
Answer:
[tex]\boxed{\sf \ \ \ \dfrac{4}{5} \ \ \ }[/tex]
Step-by-step explanation:
when the equation is like y = ax + b
the slope is a
in this case we have
[tex]y \ = \ \dfrac{4}{5}x\ \ - \ 3[/tex]
so the slope is
[tex]\dfrac{4}{5}[/tex]
Suppose the time it takes a barber to complete a haircuts is uniformly distributed between 8 and 22 minutes, inclusive. Let X = the time, in minutes, it takes a barber to complete a haircut. Then X ~ U (8, 22). Find the probability that a randomly selected barber needs at least 14 minutes to complete the haircut, P(x > 14) (round answer to 4 decimal places) Answer:
Answer:
[tex] P(X>14)= 1-P(X<14) =1- F(14)[/tex]
And replacing we got:
[tex] P(X>14)= 1- \frac{14-8}{22-8}= 0.5714[/tex]
The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714
Step-by-step explanation:
We define the random variable of interest as x " time it takes a barber to complete a haircuts" and we know that the distribution for X is given by:
[tex] X \sim Unif (a= 8, b=22)[/tex]
And for this case we want to find the following probability:
[tex] P(X>14)[/tex]
We can find this probability using the complement rule and the cumulative distribution function given by:
[tex] P(X<x) = \frac{x-a}{b-a} ,a \leq x \leq b[/tex]
Using this formula we got:
[tex] P(X>14)= 1-P(X<14) =1- F(14)[/tex]
And replacing we got:
[tex] P(X>14)= 1- \frac{14-8}{22-8}= 0.5714[/tex]
The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714
Let's list the elements of these sets and write whether thoy are empty
(null), singleton, finite or Infinito sots.
a) A = {prime number between 6 and 7)
b) B = {multiples of 2 less than 20}
Answer:
a. They are empty set.
b. they are finite set.
Solution,
a. A={ prime number between 6 and 7}
There are not any number between 6 and 7.
So there will be no Elements.
A={ }
It is empty set.
Empty set are those set which doesn't contain any Element.
b.B={multiples of 2 less than 20}
B={2,4,6,8,10,12,14,16,18}
It is a finite set.
Finite set are those set which we can count easily.
Hope this helps...
Good luck on your assignment...
What is the sum of 2x^2-x and -x-2x^2-2
[tex]solution \\ {2x}^{2} - x + ( - x - {2x}^{2} - 2) \\ = {2x}^{2} - x - x - {2x}^{2} - 2 \\ = {2x}^{2} - {2x}^{2} - x - x - 2 \\ = - 2x - 2[/tex]
Hope it helps
Good luck on your assignment
Answer:
[tex] - 2x - 2[/tex]
Step-by-step explanation:
[tex]2 {x}^{2} - x + ( - x - 2 {x}^{2} - 2) \\ 2 {x}^{2} - x - x - 2 {x}^{2} - 2 \\ 2 {x}^{2} - 2 {x}^{2} - x - x - 2 \\ - 2x - 2[/tex]
hope this helps you.
brainliest appreciated
good luck!
have a nice day!
The populations and areas of four states are shown.Which statement regarding these four states is true?
Rata-rata markah matematik untuk Amin, azman dan aziz adalah 73. Tanda Azman lebih 35 berbanding Amin manakala aziz dua kali ganda daripada Amun. Apakah tanda Amin?
Answer:
The Amin's score in math was 46.
Step-by-step explanation:
The question is:
The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?
Solution:
Let us denote that:
x = Amin's score in math
y = Azman's score in math
z = Aziz's score in math.
The average of x, y and z is, 73.
That is:
[tex]\frac{x+y+z}{3}=73\\\\\Rightarrow x+y+z = 219[/tex]
Now it is provided that:
[tex]y=x+35...(i)\\z=2x...(ii)[/tex]
Use the equations (i) and (ii) to determine the value of x as follows:
[tex]x+y+z=219\\\\x+x+35+2x=219\\\\4x=184\\\\x=46[/tex]
Thus, the Amin's score in math was 46.
Im stuck on this question
Answer:
well the shape is acute so it will be quite low work out the opposite angles and you will find out that the lines are parallels there for meaning the answer is the lowest angle
Step-by-step explanation:
Based on the following construction which statement below must NOT be true?
Answer:
see below
Step-by-step explanation:
The construction makes ray BF a bisector of angle ABC. That bisector divides ABC into the two congruent angles DBF and EBF. As a consequence, angle EBF will be half of ABC, not equal to ABC.
Can someone plz help me solved this problem! I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Hey there! :)
Answer:
a. 3
b. -22
c. -2
d. -2
e. 5a + 8
f. a² + 6a + 3
Step-by-step explanation:
Calculate the answers by substituting the values inside of the parenthesis for 'x':
a. f(1) = 5(1) - 2 = 3
b. f(-4) = 5(-4) - 2 = -22
c. g(-3) = (-3)² + 2(-3) - 5 = 9 - 6 - 5 = -2
d. g(1) = 1² + 2(1) - 5 = 1 + 2 -5 = -2
e. f(a+ 2) = 5(a+2) - 2 = 5a + 10 - 2 = 5a + 8
f. g(a + 2) = (a + 2)² + 2(a + 2) - 5 = a² + 4a + 4 + 2a + 4 - 5 =
a² + 6a + 3
Please answer this correctly
Answer:
20-39 ⇒ 5
40-59 ⇒ 3
60-79 ⇒ 5
80-99 ⇒ 10
Answer:
20-39: 5
40-59: 3
60-79: 5
80-99: 10
Step-by-step explanation:
If you just added up, you can find all the values.
Could you please help me with this problem.
Answer:
x=6√2please see the attached picture for full solution...
Hope it helps...
Good luck on your assignment....
Find the equation of the line given
the gradient
Parrallel to the line y= - 2x+4
point ( 1-3)
Answer:
y = -2x - 1
Step-by-step explanation:
Step 1: Find the parallel line
y = -2x + b
Step 2: Solve for b
-3 = -2(1) + b
-3 = -2 + b
b = -1
Step 3: Write parallel equation
y = -2x - 1
The 3 by 3 grid below shows nine 1 cm x 1 cm squares and uses 24 cm of wire.
What length of wire is required for a similar 20 by 20 grid?
Answer:
840 cm
Step-by-step explanation:
From the diagram attached, the 3 by 3 grid is made up of nine 1 cm x 1 cm squares. The the length of wire needed to make this grid consist of four rows each row having a length of 3 cm and four columns with each column having a length of 3 cm.
The length of wire required by the 3 by 3 grid = 4 column (3 cm / column) + 4 row (3 cm / row) = 12 cm + 12 cm = 24 cm
The 20 by 20 grid is made up of twenty 1 cm x 1 cm squares. The the length of wire needed to make this grid consist of twenty one rows each row having a length of 20 cm and twenty columns with each column having a length of 20 cm.
The length of wire required by the 20 by 20 grid = 21 column (20 cm / column) + 21 row (20 cm / row) = 420 cm + 420 cm = 840 cm
PLEASE ANSWER, URGENT!!! In a math exam, Zach, Wendy, and Lee have an average score 91. Wendy, Lee and Chen have an average score 89. Zach and Chen have an average score 95. What is Zach's score?
Answer:
98
Step-by-step explanation:
Z as Zach; W as Wendy; L as Lee; C as Chen
We know that average score of Z,W, and L is 91, so:
(z + w + l)/3 = 91
z + w + l = 273
Average score W, L, C = 89, so:
(w + l + c)/3 = 89
w + l + c = 267
We take both:
(z + w + l) – (w + l + c) = 273 – 267
z – c = 6
Average score Z and C = 95
(z + c)/2 = 95
z + c = 190
(z + c) – (z – c) = 184
2c = 184
c = 92
z + c = 190
z + 92 = 190
z = 98
So, Zachs score is 98
For each ordered pair, determine whether it is a solution to x=-3.
Answer: no, no, no, yes
Step-by-step explanation:
x=-3 is a vertical line. It goes straight up and down at x=-3. In order for the points to be on this line, the x-axis has to be -3. Looking at all the choices, all points are not a solution with the exception of (-3,0) which is right on the line.
Answer:
no no no yes
Step-by-step explanation:
i think
Rectangle is 5ft in length and 3 ft in height. What is the area of the rectangle
Answer: 15
Step-by-step explanation:
to find the area multiply the length by height
in this case it’s 5ft and 3ft
5 • 3 = 15
A=15
Heights of Women. Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 8 centimeters. Use the Table B.3 Areas under the Normal Curve (page 519 of the textbook) to find the indicated quantities: a) The percentage of heights less than 150 centimeters b) The percentage of heights between 160 centimeters and 180 centimeters
Answer:
a) 6.68% of heights less than 150 centimeters
b) 58.65% of heights between 160 centimeters and 180 centimeters
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 = 162, \sigma = 8[/tex]
a) The percentage of heights less than 150 centimeters
We have to find the pvalue of Z when X = 150. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{150 - 162}{8}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
6.68% of heights less than 150 centimeters
b) The percentage of heights between 160 centimeters and 180 centimeters
We have to find the pvalue of Z when X = 180 subtracted by the pvalue of Z when X = 160.
X = 180
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{180 - 162}{8}[/tex]
[tex]Z = 2.25[/tex]
[tex]Z = 2.25[/tex] has a pvalue of 0.9878
X = 160
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{160 - 162}{8}[/tex]
[tex]Z = -0.25[/tex]
[tex]Z = -0.25[/tex] has a pvalue of 0.4013
0.9878 - 0.4013 = 0.5865
58.65% of heights between 160 centimeters and 180 centimeters