Answer:
Due to the higher z-score, Jane did better in class.
Step-by-step explanation:
Z-score:
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:
Whoever's grade had the better z-score did better in class.
Mary's:
Mean of 85, standard deviation of 5, grade of 88. This means that [tex]\mu = 85, \sigma = 5, X = 88[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{88 - 85}{5}[/tex]
[tex]Z = 0.6[/tex]
Jane's
Mean of 80, standard deviation of 10, grade of 88. This means that [tex]\mu = 80, \sigma = 10, X = 88[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{88 - 80}{10}[/tex]
[tex]Z = 0.8[/tex]
Due to the higher z-score, Jane did better in class.
Please help I’ll give Brainliest!
Please help me with the question
Answer:
4(7+y) and 4·7+4·y
Step-by-step explanation:
4(7+y)= 28+4y
4·7+4·y= 28+4y
HELPP ASAP PLSS I’ll mark brainliest!!!
Complete the comparison : 17>?
Answer:
17>16
Step-by-step explanation:
Answer:
17 is greater than or (>) than any number lower than 17 :)
Step-by-step explanation:
For example, 17>16.. 17> 15, or 17> 14...ect.
Hope this helps! :)
Have a nice day <3
-3/4 ( 8y - 12 ) + 1/5 ( 15y - 30 )
Glve the values of a, b, and c needed to write the equation's standard form. 3(x-4)(x + 5) = 1
O A= 2; B = 2; C = -43
O A = 2/3; B = 1; C = -20
O A=2; B = 2; C = 43
Answer:
c
Step-by-step explanation:
Jean borrows $12,000 for 8 years at 6% interest. What is the approximate cost of the loan? What is Jean’s approximate total cost? What is Jean’s approximate monthly paymen
Answer:
$5760
Step-by-step explanation:
12000 × 8 × .06 = 5760
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $480 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
Answer:
$512.90 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
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 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.
Normally distributed with mean $480 and standard deviation $20.
This means that [tex]\mu = 480, \sigma = 20[/tex]
How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05?
This is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95, so X when Z = 1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 480}{20}[/tex]
[tex]X - 480 = 1.645*20[/tex]
[tex]X = 512.9[/tex]
$512.90 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
Pls help I’m failing I need a good grade
The answer is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
solve the equation for the value of x; 8x + 12 = 52.
a) x = 12
b) x = -5
c) x = 5
d) x = 52
Answer:
5
Step-by-step explanation:
8x + 12 = 52
move constant to right
8x=52-12
subtract numbers
8x=40
divide both sides
x=5
Find the area of the figure.
= m
(simplify your answer)
Factorize 6q-29q+28
Step-by-step explanation: This equation is prime.
I need help with this
Answer:
66
Step-by-step explanation:
the answer is 66 in
I do love math ask more questions
2. Which of the following statements shows the distributive property?
5 + (4 – 2) = 20 – 10
5(4 – 2) = 20 – 10
5 + (4 – 2) = 9 + 3
5(4 – 2) = 9 – 7
PLEASE HELP ME!!! ITS A MONTH PAST DEW! I NEED HELP ASAP!
A quantity with an initial value of 450 grows exponentially at a rate of 0.4% every 10
years. What is the value of the quantity after 96 years, to the nearest hundredth?
Answer:
467.58
Step-by-step explanation:
Grows 0.4% --> r = .004
Grows every 10 years: exponent of t/10
where t is in years
Write a function:
f(t) = 450(1+0.004)^t/10
96 years means no time conversion is needed due to years being the only unit in the problem
T = 96
f(96) = 450(1+0.004)^96/10
= 467.580247756
≈467.58
youre welcome y'all
o
What is the factored form of 2x3 + 4x2 - x?
A. 2x(x2+2x+1)
B. x{2x2 +4x+1)
C. 2x(x2+2x-1)
D. x(2x² + 4x - 1)
Answer:
D .
Sorry if i'm wrong.
[tex]x(2 {x}^{2} + 4x - 1 )\\ = 2 {x}^{3} + 4 {x}^{2} - x[/tex]
Twelve friends met for for dinner. They learned that three-twelfths of them
were born in Texas, two-twelfths in New York and the rest in Idaho.
How many friends were born in Idaho?
the answer is seven twelfth
4. Show the expanded notation for 2c + 5c
Answer:
Is the question really expanded notation
Help me out thanks u !!!
Answer:
116
Step-by-step explanation:
All angles will add up to 360°
So just do 360 -55 -79 -110 = 116
Answer:
The answer is 116 because the sum of angles in a quadrilateral is 360 degrees.
hello! I am currently failing math class and if I don’t get it together I might have to repeat the grade! so I really need you help and if you have the answer let me know in the comments please !! <3 :)
questions⬇️⬇️
1) which is heavier a 20 pound bag of salt or 12 kilogram of salt ?
2) of a football field is approximately 100 meters long , how many inches is it ?
Answer:
1. 1 kg =2.20462poud
so 12kg= 26.4555pound
2. 1 meter=39.3701inches
so a 100 meter is 3937.01 inches
i hope you understand i hope you do better in your grades
\
Step-by-step explanation:
A simple random sample of 50 undergraduates at Colby College found that 60% of those sampled felt that cheating was a problem among college students. A simple random sample of 50 undergraduates at Penn State University found that 70% felt that was cheating a problem among college students. The number of undergraduates at Colby College is approximately 1800; the number at Penn State is approximately 39,000.We conclude that:_________.
A) the sample from Colby College has much less sampling variability than that from Penn State.
B) the sample from Colby College has much more sampling variability than that from Penn State.
C) the sample from Colby College has almost the same sampling variability as that from Penn State.
D) it is impossible to make any statements about the sampling variability of the two samples because the students surveyed were different.
Answer:
A
Step-by-step explanation:
Compute the discriminant D(x,y)D(x,y) of the function. f(x,y)=x3+y4−6x−2y2+3 f(x,y)=x3+y4−6x−2y2+3 (Express numbers in exact form. Use symbolic notation and fractions where needed.) D(x,y)=D(x,y)= Which of these points are saddle points? (2⎯⎯√,0)(2,0) (2⎯⎯√,1)(2,1) (−2⎯⎯√,1)(−2,1) (2⎯⎯√,−1)(2,−1) (−2⎯⎯√,−1)(−2,−1) (−2⎯⎯√,0)(−2,0) Which of these points are local minima?
The discriminant of function [tex]f(x,y)=x^3 + y^4 - 6x-2y^2+3[/tex] is 72xy³ – 24x and points (√2,0), (-√2, 1) and (-√2, -1) are saddle point, and points (√2, 1) and (√2, -1) are local minima.
A function is an expression in terms of one or more variable.
If f(x, y) is a two-dimensional function that has a local extremum at a point ([tex]x_o, y_o[/tex]) and has continuous partial derivatives at this point, then [tex]f_x (x_o, y_o)=0[/tex] and [tex]f_y (x_o, y_o)=0[/tex]. The second partial derivatives test classifies the point as a local maximum or local minimum.
Then
1. If D > 0 and [tex]f_{xx}(x_o, y_o) > 0[/tex] , the point is a local minimum.
2. If D > 0 and [tex]f_x_x (x_o, y_o) < 0[/tex], the point is a local maximum.
3. If D < 0, the point is a saddle point.
4. If D = 0, higher order tests must be used.
Given that
[tex]f(x,y)=x^3 + y^4 - 6x-2y^2+3[/tex]
[tex]f_x = 3x^2-6[/tex]
[tex]f_x = 0[/tex] implies that [tex]x = \pm\sqrt2[/tex]
[tex]f_y= 4y^3-4y[/tex]
[tex]f_y= 0[/tex] implies that y = 0; y = [tex]\pm[/tex]1.
Thus, the critical points are (√2,0), (√2,1), (√2, -1);(-√2,0), (-√2,1); (√2, -1).
[tex]f_{xx} = 6x[/tex]; [tex]f_y_y = 12y^3 - 4[/tex], [tex]f_{xy}= 0[/tex]
D(x, y) = [tex]f_{xx}f_{yy} - f_{xy}^2[/tex]
= 6x × (12y³ – 4)
D(√2, 0) = -24√2 < 0 implies (√2,0) is a saddle point.
D(√2, 1) = 48√2 > 0 ; [tex]f_{xx}(2, 1) = 6\sqrt2 > 0[/tex] implies (√2, 1) is local minimum.
D(√2, -1) = 48√2 > 0; [tex]f_{xx}(2, -1) = 6\sqrt2 > 0[/tex] implies (√2, -1) is local minimum.
D(-√2, 0) = 24√2 > 0; [tex]f_{xx}(-2,0) = -6\sqrt2 < 0[/tex] implies (-√2, 0) is local maximum.
D(-√2, 1) = -48√2 < 0 implies (-√2, 1) is a saddle point.
D(-√2, -1) = -48√2 < 0 implies (-√2, -1) is a saddle point.
Thus, (√2,0), (-√2, 1) and (-√2, -1) are saddle point, and (√2, 1) and (√2, -1) are local minima.
Learn more about functions here:
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A triangle has a base of (x+9) feet and a height of (4x+4). The expression below represents the area of the triangle.
12(x+9)(4x+4)
Which of the following choices represents the simplified form of the expression above?
Select one:
A. 4x2+36x+36
B. 2x2+80x+18
C. 2x2+18x−18
D. 2x2+20x+18
Answer:
I think the answer would be B
Step-by-step explanation:
Because we multiply, distribute and combine like terms
8 cm
3 cm
4 cm
7 cm
4 cm
9 cm
3 cm
Answer:
area of the figure=(1/2×22/7×12²)+(12×4)+(8×3)
=226.28+48+24
=298.28
Can I add or subtract ONLY a percentage?
. Example: 30 + 15% =
Answer:
If it's in decimal form, it can be 30+0.15=30.15
Step-by-step explanation:
HELPP!! I report wrong answers!!
During a competition, numismatist Aditi has been given Rs. 200 in Rs.1 denominations. The judge asks Aditi to allocate the Rs. 1 denominations into a number of pouches such that any amount required between Rs.1 & Rs. 200 can be given by giving out a certain number of pouches without opening them. Aditi thinks and asks the judge to give her 'x' number of pouches to keep the money, where 'x' is the minimum number of bags required to keep the total money. Can you guess the value of 'x'?
9514 1404 393
Answer:
8
Step-by-step explanation:
If the bags can either be given or not, each bag can assume one of two states. In order for there to be 200 possible combinations of items in one of two states, there must be at least log2(200) = 7.64 items. The minimum number of bags is x = 8.
_____
The contents of the 8 bags will be Rs. 1, 2, 4, 8, 16, 32, 64, 73.
What’s the answer to 7x when x=8 I need help please
Answer:
56
Step-by-step explanation:
7x8=56
Step-by-step explanation:
7(8)
= 56
use tye substitution property
5th grade math. correct answer will be marked brainliest.
Answer:
the answer is 15 i hope this correct
19.214÷13
pls someone help me
Answer:
1.478
Step-by-step explanation: