Answer: c. On average, a 1 percentage point difference in chemistry score is associated with a 0.919 percentage point difference in geometry score
Step-by-step explanation:
Given that:
Slope value = 0.91857341
The dependent and independent variables are ;
Dependent Variable: Geometry
Independent Variable: Chemistry
Slope is the rate of change in the dependent variable per unit change in the independent variable.
Hence, from the information given, we can conclude that for every 1% change in chemistry score (independent variable), there is a corresponding approximately 0.919% change in geometry score (dependent variable).
From the given data it can be concluded that on average, a 1 percentage point difference in chemistry score is associated with a 0.919 percentage point difference in geometry score. Hence option c) is correct.
Given :
She randomly samples 400 students who took both classes and records their final scores (out of 100 points). She carries out a simple linear regression, using the geometry grade as the response variable and the chemistry grade as the explanatory variable since the students take chemistry before geometry.Given the simple linear regression results that are:
The Dependent variable is Geometry.
The Independent variable is Chemistry.
Geometry = 3.6276926+0.91857341[tex]\times[/tex]Chemistry
Comparing the above equation with the slope-intercept form which is given by:
y = mx + c
Therefore, slope, m = 0.91857341.
It is also given that:
Sample size is 400
R2= 0.55808158
Estimate of error standard deviation: 9.417521
From the given data it can be concluded that on average, a 1 percentage point difference in chemistry score is associated with a 0.919 percentage point difference in geometry score. Hence option c) is correct.
For more information, refer to the link given below:
https://brainly.com/question/12402189
A pool can be filled by one pipe in 8 hours and by a second pipe in 2 hours. How long will it take using both pipes to fill the pool?
let the time taken to be filled by both pipes be y
1/2 +1/8=1/y
(4+1)/8=1/y
5/8=y
cross multiplying
5y=8
y=8/5
=1.6hrs
(D) Work out
1/4 of 28
Answer:
1/4 ×28=7 ::*^ jghjnryh
Answer:
7
Step-by-step explanation:
[tex]\left(\frac{1}{4}\right)\cdot28[/tex]
[tex]\frac{\left(1\right)\cdot\left(28\right)}{\left(4\right)\cdot\left(1\right)}[/tex]
[tex]\frac{\left(28\right)}{\left(4\right)}[/tex]
You should divide both the numerator and the denominator by 4 and get 7 as a result of that.
Would greatly appreciate the help
Answer:
B
Step-by-step explanation:
1.454, 1.454444, 1.454454454, 1.4545454, 1.454545 in order but as you can see, the last two are equal
Yuki and Zana are on a swimming team. They often compete against each other in the 100 meter freestyle race. Yuki's times in this race are normally distributed with a mean of 808080 seconds and a standard deviation of 4.24.24, point, 2 seconds. Zana's times are also normally distributed with a mean of 858585 seconds and a standard deviation of 5.65.65, point, 6 seconds. We can assume that their times are independent.
Suppose we choose a random 100 meter freestyle race and calculate the difference between their times.
Find the probability that Yuki's time is faster than Zana's.
You may round your answer to two decimal places.
Answer:
0.2389 = 23.89% probability that Yuki's time is faster than Zana's.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
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 p-value, we get the probability that the value of the measure is greater than X.
Subtraction of normal variables:
When normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Yuki's times in this race are normally distributed with a mean 80 seconds and standard deviation of 4.2 seconds. Zana's times are also normally distributed with a mean of 85 seconds and a standard deviation of 5.6 seconds.
Yuki's is faster than Zana if the subtraction of Yuki by Zana is larger than 0.
The mean is:
[tex]\mu = 80 - 85 = -5[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{4.2^2 + 5.6^2} = 7[/tex]
Find the probability that Yuki's time is faster than Zana's.
This is P(X > 0), which is 1 subtracted by the pvalue of Z when X = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-5)}{7}[/tex]
[tex]Z = 0.71[/tex]
[tex]Z = 0.71[/tex] has a pvalue of 0.7611
1 - 0.7611 = 0.2389
0.2389 = 23.89% probability that Yuki's time is faster than Zana's.
An article reported the results of an experiment to determine the effect of load on the drift in signals derived from a piezoelectric force plates. The correlation coefficient y between output and time under a load of 588 N was −0.9515. Measurements were taken 110 times per second for 300 seconds, for a total of 33000 measurements. Find a 95% confidence interval for the population correlation rho. Round the answers to four decimal places.
Answer:
95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505
Step-by-step explanation:
Given the data in the question;
correlation coefficient y between output and time under a load of 588 N was −0.9515
so first we determine the quantity W.
we know that; W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + r}{1 - r}[/tex])
we substitute -0.9515 for r
W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 + (-0.9515 )}{1 - (-0.9515 )}[/tex])
W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{1 - 0.9515 )}{1 + 0.9515 )}[/tex])
W = [tex]\frac{1}{2}[/tex]ln([tex]\frac{ 0.0485}{1.9515 }[/tex])
W = [tex]\frac{1}{2}[/tex]ln( 0.02485 )
W = [tex]\frac{1}{2}[/tex]( -3.6948975 )
W = - 1.8474
So the quantity W is normally distributed with standard deviation given by;
σ[tex]_w[/tex] = 1 / √(n - 3)
given that n is 33,000, we substitute
σ[tex]_w[/tex] = 1 / √(33,000 - 3)
σ[tex]_w[/tex] = 1 / √32997
σ[tex]_w[/tex] = 0.0055
Now, at 95% confidence interval, μ[tex]_w[/tex] will be;
⇒ - 1.8474 - 1.96( 0.0055 ) < μ[tex]_w[/tex] < - 1.8474 + 1.96( 0.0055 )
⇒ - 1.8474 - 0.01078 < μ[tex]_w[/tex] < - 1.8474 + 0.01078
⇒ -1.8582 < μ[tex]_w[/tex] < -1.8366
So to obtain 95% confidence interval for p, we use the following equation;
we transform the inequality
p = [( [tex]e^{2u_w} - 1[/tex] ) / ( [tex]e^{2u_w} + 1[/tex] )]
we substitute
[tex]\frac{e^{2(-1.8582 )}-1}{e^{2(-1.8582 )} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{2(-1.8366)}-1}{e^{2(-1.8366)} + 1}[/tex]
[tex]\frac{e^{-3.7164}-1}{e^{-3.7164} + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{e^{-3.6732}-1}{e^{-3.6732} + 1}[/tex]
[tex]\frac{0.02432-1}{0.02432 + 1}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{0.025395-1}{0.025395 + 1}[/tex]
[tex]\frac{-0.97568}{1.02432}[/tex] < [tex]\frac{e^{2u_w} - 1}{e^{2u_{w}} + 1}[/tex] < [tex]\frac{-0.974605}{1.025395}[/tex]
-0.9525 < [tex]p[/tex] < -0.9505
Therefore, 95% confidence interval for the population is; -0.9525 < [tex]p[/tex] < -0.9505
A car is driving at 40 kilometers per hour. How far, in meters, does it travel in 2 seconds?
Answer:
i think its 22.22 thats my guess
Answer:
[tex]\frac{1}{45}[/tex] kilometers
Step-by-step explanation:
60 minutes = 3600 seconds
[tex]\frac{40}{3600} =\frac{y}{2}[/tex]
3600y = 80
3600y ÷ 3600 = 80 ÷ 3600
[tex]y=\frac{1}{45}[/tex]
Verify that triangle ABC is equal to DEF . Find the scale factor of triangle ABC to triangle DEF
Answer:
k = 6 : 5 : 4
Step-by-step explanation:
BC : AB : AC = 18 : 15 : 12 = 6 : 5 : 4
EF : DE : DF = 12 : 10 : 8 = 6 : 5 : 4
Please help! Due today
Answer:
-4 5/12
Step-by-step explanation:
A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, .97, 1.03, 1.04, .99, .98, .99, 1.01, and 1.03 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximate normal distribution. Interpret the interval carefully in the context of the problem
If the die is rolled 100 times, predict the number times it would land on an
even number. *
Answer:
50
Step-by-step explanation:
there are 6 numbers on a dice 3 even 3 odd you would have a 50 chance of getting even
Nancy’s nut store sells peanuts for $2 per pound and cashews for $10 per pound. The store sells a peanut - cashew mixture for $7 per pound. How many pounds of peanuts and how many pounds of cashews should be used to create 40 pounds of the mixture? I’m
9514 1404 393
Answer:
25 pounds cashews15 pounds peanutsStep-by-step explanation:
Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...
10c +2(40 -c) = 7(40)
8c +80 = 280 . . . . simplify
c +10 = 35 . . . . . . . divide by 8
c = 25 . . . . . . . . . . subtract 10
40-c = 40-25 = 15 . . . . pounds of peanuts
25 pounds of cashews and 15 pounds of peanuts should be used in the mix.
Find the measure of 46.
46 = [?]
24°
46
Answer:
Solution given:
<6+24=180[co- interior angle]
<6=180-24=156°
<6=156°
Same side interior angles are supplementary
<6+24=180<6=180-24<6=156°The City of Minneapolis is deciding whether to install a stoplight or a stop sign at a very dangerous intersection. Every time a car goes through the intersection, it either is safe, gets in a minor accident, or gets in a major accident. The stoplight would prevent crashes more often, but they would be more costly if they did occur.
The City of Minneapolis performs 800800800 simulations of a car going through the intersection with a stoplight and with a stop sign. Once they decide whether to install a stoplight or a stop sign, they expect 400040004000 cars to travel through the intersection in the next year.
What is the expected damage at this intersection in the next year if the City of Minneapolis installs a stoplight? \$$dollar sign
What is the expected damage at this intersection in the next year if the City of Minneapolis installs a stop sign? \$$dollar sign
To minimize the expected damage, The City of Minneapolis should install a
.
(If necessary, round your answers to the nearest dollar.)
The following table shows damage from each type of accident depending on whether the City of Minneapolis installs a stoplight or a stop sign.
Stoplight Stop sign
Major accident \$900$900dollar sign, 900 \$700$700dollar sign, 700
Minor accident \$600$600dollar sign, 600 \$200$200dollar sign, 200
The following table shows the results from the traffic simulation.
Car result Stoplight Stop sign
Major accident 151515 191919
Minor accident 242424 313131
No accident 761761761 750750750
Total 800800800 800800800
Answer:
Stoplight (75*$900) + (120*$600) + (3805 * $0) = $139500
Stopsign (95*$700) + (155*$200) + (3750* $0) = $97500
Step-by-step explanation:
To minimize damage, a stop sign should be installed.
How old is a tree with circumference of 62.83 cm?
Step-by-step explanation:
19.9 is the age of the tree.
divide the circumference with 3.142 .
hope this helps you☺️☺️
awnser plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer:
x = 12, x = -4.
Step-by-step explanation:
x² - 8x - 48 = 0.
This factors to (x - 12)(x + 4) = 0.
Proof:
(x - 12)(x + 4) = 0
first: x * x
outer: 4 * x
inner: -12 * x
last: -48.
first: x²
outer: 4x
inner: -12x
last: -48
x² + 4x - 12x - 48
x² - 8x - 48.
To find the zeros, take the individual pairs and find the values that make the equation 0.
x - 12 = 0
Add 12 to both sides.
x = 12.
x + 4 = 0
Subtract 4 from both sides.
x = -4.
Answer:
x= 4 + 2√5, x = 4 - 2√5
Step-by-step explanation:
So this is quadratics so you can solve it by completing the square and using the quadratic formula. The quadratic formula is x = (-b±√(b²-4ac)) / (2a).
Jillian wants to figure out how much water will fit inside the water tower that is by her house. So she wants to find the volume of the water tower. True False
Answer:
True
Step-by-step explanation:
The volume of an object is the amount of matter the shape can hold, so finding how much water the tank can hold is finding the volume of the tank.
Have a great day! Hope this helps!
Answer:
True hope this helps
AB = 5, AP = 4, and DP = 12, then find the length of PC
Answer:
[tex]PC = 0.333[/tex]
Step-by-step explanation:
Given
[tex]AB = 5[/tex]
[tex]AP = 4[/tex]
[tex]DP =12\\[/tex]
See attachment
Required
Find PC
When two chords intersect, the product of the segments are always equal.
In chord DC, the segments are DP and PC
In chord AB, the segments are AP and PB
So:
[tex]DP * PC = AP * PB[/tex]
This gives:
[tex]12 * PC = 4 * PB[/tex] --- (1)
In chord AB, we have:
[tex]AB = AP + PB[/tex]
Make PB the subject
[tex]PB = AB - AP[/tex]
This becomes
[tex]PB = 5 - 4[/tex]
[tex]PB = 1[/tex]
[tex]12 * PC = 4 * PB[/tex] --- (1) becomes
[tex]12 * PC = 4 * 1[/tex]
[tex]12 * PC = 4[/tex]
Make PC the subject
[tex]PC = \frac{4}{12}[/tex]
[tex]PC = 0.333[/tex]
Which of the four Venn diagrams represents this?
Answer:
I would day option B does
Answer:
A is the correct answer
Step-by-step explanation:
question is in the image I put!
Need help quick with full work
Answer:
1st of column 1
and
3rd of column 2
In scientific notation
Answer:
2*10^4
I can't see the question..
[tex]4*10^6[/tex] = 4000000
[tex]2*10^2[/tex] = 200
4000000/200 = 20000
20000 = [tex]2*10^4[/tex]
Step-by-step explanation:
I hope this helps!
Have a nice day!
and can I maybe have brainliest? Thanks!
What is the magnitude of -10 + 24i?
this is for a unit over complex numbers on a p e x
Answer:
The magnitude of the number is of 26.
Step-by-step explanation:
Magnitude of a complex number:
A complex number has the following format: a + bi
In which a is the real coefficient and b is the imaginary coefficient.
The magnitude of the number is:
[tex]\sqrt{a^2+b^2}[/tex]
What is the magnitude of -10 + 24i?
For this number, a = -10, b = 24. So
[tex]\sqrt{a^2+b^2} = \sqrt{(-10)^2+24^2} = \sqrt{676} = 26[/tex]
The magnitude of the number is of 26.
Given that f(x) = 5x+3 and g(x) = x²-3.
Find
a f(4)
b) f(g(x))
C). g( f (2))
Answer:
given;
f(x) = 5x+3
g(x) = x²-3.
Step-by-step explanation:
a f(4)=5×4+3=23
b) f(g(x))=f(x²-3)=5{x²-3)+3=5x²-15+3=5x²-12
C). g( f (2))=g(5×2+3)=13²-3=166
why do we need to know the different abbreviation of measurements and its equivalent?
Answer:
See explanation.
Step-by-step explanation:
You will need to know the abbreviations of measurements because when pertaining to the real world, an you will see things as so "This fence is about 15ft tall." or "Jacobb is 72in tall." If you do not understand the abbreviations you will not understand what anyone is ever talking about when it comes to measurements. As for knowing how to convert measures to be equivalent, that is important because some measurements are bigger than others. It doesn't make since to say 12 inches, when you can just say 1 foot.
A carton of milk in the shape of a rectangular prism has a leak. The dimensions of the carton are 8 inches by 4 inches by 3 inches. If the rate in which the milk is leaking is 6 cubic inches per minute, how long would it take for the milk carton to completely empty?
Volume of a rectangular prism = length x width x height.
Volume of milk carton = 8 x 4 x 3 = 96 cubic inches.
Divide the volume by the leak rate:
96/ 6 = 16
It will take 16 minutes.
Find the greatest common factor of 6c^3 and 10c^4
Answer:
2c^3
Step-by-step explanation:
The greatest common divisor of 6 and 10 are 2
The factors that are common to 6c^3, 10c^4 would be 2ccc
Simplify that and you have 2c^3
PLZ ANSWER I WILL MARK BRAINLIEST
Step-by-step explanation:
There is a difference between the numbers that is 6
So...
y=6x+5
Answer:
6x+5
Step-by-step explanation:
1 x 6=6+5=11
She mixes nuts, raisins and oats in the ratio 3:2:5 by weight. Babajan uses 60 grams of nuts. Work out the weight of raisins she uses to make the breakfast cereal
Answer:
weight of raisins : 40
Step-by-step explanation:
nuts : raisins : oats
3:2:5= 60: ? : ?
60÷3 = 20
raisins : 2×20 = 40
Find XS, VY, and YZ. I am very confused on what to do.
Answer:
Do you see the lines and how they are named? I am going to try and explain this in less words than I can. Where it says XS you have to match it up with the lines. But if it says that you have to find XSU (which it does not) you would have to go up all the way but you stop where it says the S so you wont go all the way up to the U. I hope this helps!
2.6x + 10.5 = 31.3
I need to find the answer of x whoever gets it correct will get brianliest!
Answer:
2.6x + 10.5 = 31.3
Step-by-step explanation:
