The lower z-score in scenario B suggests that the score of 40 on the exam with a mean of 50 and a standard deviation of 20 should lead to a better grade compared to the score of 55 on the exam with a mean of 60 and a standard deviation of 5. Option B.
To determine which exam score should lead to the better grade, we need to compare the scores relative to their respective mean and standard deviation.
In scenario A, we have a score of X = 55 on an exam with a mean of 60 and a standard deviation of 5.
In scenario B, we have a score of X = 40 on an exam with a mean of 50 and a standard deviation of 20.
To compare the scores, we can use a statistical measure known as the z-score, which indicates how many standard deviations a particular value is from the mean. The z-score formula is calculated as:
z = (X - mean) / standard deviation
Calculating the z-scores for each scenario:
For scenario A:
z = (55 - 60) / 5
z = -1
For scenario B:
z = (40 - 50) / 20
z = -0.5
The z-score represents the number of standard deviations below or above the mean a score is. In this case, a lower z-score indicates a better performance relative to the mean.
Comparing the z-scores, we can see that scenario A has a z-score of -1, while scenario B has a z-score of -0.5. Therefore, scenario B with a score of X = 40 leads to the better grade.
In scenario B, the score of 40 is closer to the mean of 50 and has a smaller deviation from the mean compared to scenario A. This indicates that the score in scenario B is relatively better than the score in scenario A when compared to their respective distributions. Option B is correct.
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A file that is 263 megabytes is being downloaded. If the download is 17.6% complete how many megabytes have been downloaded?
Answer:
46.288 megabytes
Step-by-step explanation:
megabytes that have been downloaded
= 17.6% of 263
[tex] = 0.176 \times 263 \\ = 46.288[/tex]
The data reflects the number of days since a plant has
been transplanted (x), paired with the plant height (y).
How can the y-intercept of the line be interpreted?
y
O Every 0.07 days the plant grows 0.81 inches.
O Every 0.81 days the plant grows 0.07 inches.
O Initially, the plant had a height of 0.07 inches.
O Initially, the plant had a height of 0.81 inches.
14
y = 0.81.x + 0.07
12 +
10
8
Growth (inches)
2
4
G
8
10
12 14
16
18
20
Number of Days
Answer:
I think its b. Every 0.81 days the plant grows 0.07 inches.
Step-by-step explanation:
i took the same test on egd.
Answer:
c. Initially, the plant had a height of 0.07 inches.
Step-by-step explanation:
EDGE 2023
A manufacturer is planning to sell a new product for $150 each and estimates that if it spends x thousand dollars on development and y thousand dollars on promotion will sell approximately
320y/(y+2) + 160x/(x+4) unit
The cost to produce each unit of that product is $50. If the producer spends a total of $8,000 on development and promotion, how should this money be allocated to get the maximum profit?
The maximum profit is achieved when the manufacturer spends $4,000 on development and $4,000 on promotion.
How to calculate the profitThe profit is given by
(150 - 50) * (320y/(y+2) + 160x/(x+4)) - x - y
= 100 * (320y/(y+2) + 160x/(x+4)) - x - y
= 32000y/(y+2) + 16000x/(x+4) - x - y
We want to maximize this function subject to the constraint that x + y = 8.
We can do this by using Lagrange multipliers. The Lagrangian is given by
L = 32000y/(y+2) + 16000x/(x+4) - x - y + lambda(x + y - 8)
Setting the partial derivatives of L with respect to x, y, and lambda equal to zero, we get the following equations:
32000/(y+2) - 1 - lambda = 0
16000/(x+4) - 1 - lambda = 0
x + y - 8 = 0
Solving these equations, we get x = 4, y = 4, and lambda = 0.
Therefore, the maximum profit is achieved when the manufacturer spends $4,000 on development and $4,000 on promotion.
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Translate this sentence into an equation.
54 is the sum of 15 and Jenny's age.
Use the variable j to represent Jenny's age.
Answer:
54= 15 + J
Step-by-step explanation:
j= 39
Solve for x. Plzz help me
Step-by-step explanation:
The diagram resembles a right angled triangle,
So, By Pythagoras theorem,
(11)²=(4)²+x²
= 121=16+x²
= 121-16=x²
= 105=x²
= root105 =x
Need the answer to angle 1 angle 2 and angle 3
Answer:
angle 1= 120 and angle 2 and 3 = 30
Step-by-step explanation:
Answer:
answer is below
Step-by-step explanation:
angle1=120°
[tex]angle2=angle3=\frac{180-120}{2} =30[/tex]°
(7.3x105) + (3.7x105) science notation form please help me
a
1.10x10^11
b
11.0x10^5
c
1.1x10^10
d
1.1x10^6
9514 1404 393
Answer:
d. 1.1×10^6
Step-by-step explanation:
As with other kinds of sums, factoring out a common factor can make it easier.
(7.3×10^5) + (3.7×10^5) = (7.3 +3.7)×10^5 = 11.0×10^5
Please note this is the sum, and it matches answer choice B, but it is not "scientific notation." To put this back in scientific notation, we must move the decimal point 1 place to the left. That rewrite looks like ...
11.0×10^5 = (1.1×10^1)×10^5 = 1.1×(10^1×10^5) = 1.1×10^(1+5) = 1.1×10^6
A couple is trying to save for down payment on their first house. They wish to have $25,000 in 8 years. How much should they invest monthly in an account that pays 6.1% compounded annually
Answer:
I this 500$
Step-by-step explanation:
Find the indicated limit, if it exists. limit of f of x as x approaches 0 where f of x equals 5 x minus 9 when x is less than 0 and the absolute value of the quantity 2 minus x when x is greater than or equal to 0 -9 -7 2 The limit does not exist.
Answer:
The limit does not exist
Step-by-step explanation:
The first step would be to try to evaluate the functions at x = 0
5x - 9 => 5(0) - 9 = -9
| 2 - x | => | 2 - 0 | = 2
So they can be evaluated at x = 0, and it gives two different answers so the limit does not exist
Answer:
The limit does not exist
Step-by-step explanation:
By evaluating both functions we see that we get -9 and 2, because they are not equal to each other the limit does not exist.
-5 a root of the Quadratic
equation n² - 8n-65 = o.
What is the other root of the
equation
Answer:
13
Step-by-step explanation:
It is a quadratic equation meaning it has 2 factors and since one of it has root -5, the first factor is (n + 5),
So, we have (n + 5)(n + a) = n^2 + an + 5n + 5a
Thus, by comparison,
n^2 + (5 + a)n + 5a = n^2 - 8n - 65 = 0
5 + a = -8
5a = -65
a = -13
Thus, the other factor is (n -13) and root is 13
simplify-7(3x) + 2(3x - 2)
I'll give brainliest
Answer:
-15x-4
Step-by-step explanation:
-21x + 6x-4
-15x-4
Anyone know the answer
Step-by-step explanation:
[tex]4x - 16 + 2x + 16 = 180 \\ 6x = 180 \\ x = 30[/tex]
Step-by-step explanation:
A straight line has 180° so we can set
4x-16+2x+16=180
6x=180
x=30
Hope that helps :)
What is there area 6m 4cm triangle
Answer:
12cm squared
Step-by-step explanation:
Since the area of a triangle is BxH/2, the area will be 24/2. That equals 12cm squared.
The side lengths of a triangle are 12, 19, and x units.
12
19
(The figure above gives only one possible configuration for the triangle.)
Determine the possible values of x.
Write your answer as an inequality.
Use x only once in your inequality.
D>
ISO
D20
Х
?
Answer:
7<x<31
Step-by-step explanation:
The third side of any triangle must be more than the difference between the other two sides.
x>19-12
x>7 (or) 7<x
The third side of any triangle must be less than the sum of the other two sides.
x<19+12
x<31 (or) 31>x
Put them together.
7<x<31 (or) 31>x>7
7<x<31 are the possible values of x.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that side lengths of a triangle are 12, 19, and x units.
We need to find the value of x.
We know that the third side of any triangle must be more than the difference between the other two sides.
x is greater than difference of nineteen and twelve
x>19-12
x>7 (or) 7<x
The third side of any triangle must be less than the sum of the other two sides.
x<19+12
x<31 (or) 31>x
From this we get the interval as
7<x<31 (or) 31>x>7
Hence, 7<x<31 are the possible values of x.
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x+1/2=2 Plssssssssssssssssssssssssssssss help need anwser fast
Answer:
3/2
Step-by-step explanation:
Step-by-step explanation:
[tex]x + \frac{1}{2} = 2 \\ x = 2 - \frac{1}{2} \\ x = \frac{3}{2} [/tex]
Aidans hourly salary is $11. If Aidan normally works a 40 hour week , then how much is normally earned in a week?
Answer:
$440
Step-by-step explanation:
40 x 11 = your answer 440
PLEASE HELP ME WITH GEOMETRY :(
Answer:
1st option
Step-by-step explanation:
You have to take the radius and times it by 1 which gives you 8 in.
Can someone help me!
Answer:
m∠A = 48.81°
Step-by-step explanation:
Given triangle is a right triangle and we have to measure ∠A.
Since, opposite side and adjacent sides of angle A has been given
So we will apply tangent rule to get the measure of angle A.
tan(∠A) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(∠A) = [tex]\frac{8}{7}[/tex]
∠A = [tex]\text{tan}^{-1}(\frac{8}{7})[/tex]
∠A = 48.814
≈ 48.81°
help plz with Algebra question I attached a file
Answer:
x=4.63
Step-by-step explanation:
Area = (1/2) (base) (height)
20 = (1/2) (x+4) (x)
40 = x²+4x
x²+4x-40=0
Put in quadratic equation:
x=[tex]\frac{-4(+/-)\sqrt{4^{2}-4(1)(-40) } }{2(1)}[/tex]
x=[tex]\frac{-4(+/-)\sqrt{176} }{2}[/tex]
x=4.63324958071 or x=-8.63324958071
Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63
On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $634.25. How many children and how many adults swam at the public pool that day?
Answer:
31 children and 290 adults
Step-by-step explanation:
Let a = number of adults and c = number of children.
a + c = 321
2a + 1.75c = 634.25
Multiply both sides of the the first equation by -2 and add it to the second equation.
-2a - 2c = -642
(+) 2a + 1.75c = 634.25
--------------------------------------
-0.25c = -7.75
Divide both sides by -0.25
c = 31
Use the first equation to find a.
a + c = 321
Substitute 31 for c.
a + 31 = 321
Subtract 31 from both sides.
a = 290
Answer: 31 children and 290 adults
Which graph or table shows a proportional relationship? Select all that apply.
Answer:
The number of days and total miles run one.
Step-by-step explanation:
A proportional relationship is y/x being the same everytime. The first table doesnt fit with that. The second graph isnt a straight line. The third table isnt coreect either. Lastly the forth table workng.
Sorry if im incorrect
The graph for y≥-3.
true
false
helpp me
Answer:
I think it's false
Step-by-step explanation
Solve x2 - 8x - 9 = 0.
Rewrite the equation so that it is of the form
x2 + bx = c.
Answer:
x2-8x=9
Step-by-step explanation:
you move the negative nine to the other side of the equals to become positive
HURRY FAST LOOK AT THE PHOTO TRUE OR FALSE
Which expressions represent the product of a variable and a coefficient?
Choose 3 answers:
11c
1/2 t
5. 10
j. 4
Answer:
A, B, and D
Step-by-step explanation:
A variable could be represented as a letter.
Coefficient is the number multiplying a variable.
Product means multiplication.
Therefore the expressions that represent the product of a variable and a coefficient are:
11c, ½t, and j*4
Help please will mark brainliest
Answer: 22.9
Step-by-step explanation: Perimeter of a triangle is the sum of all side lengths, in this case, 4, 5, and 13.9, and the sum is 22.9. Hope this helps, and have a great day!
Answer:
22.9 i think
Step-by-step explanation:
what the formula of a triangle?!
Answer:
A=hbb/2 hope this helps :)
Step-by-step explanation:
Question is attached. Thanks
Answer:
The third oneStep-by-step explanation:
What is the value of d and w?
Answer:
d = 65
w = 55
Step-by-step explanation:
w + 90 + 35 = 180
w + 125 = 180
w = 55
35 + x = 60 (Vertical angle thm)
x = 25
d + x = 90
d + 25 = 90
d = 65
In ΔLMN, the measure of ∠N=90°, MN = 3.4 feet, and NL = 7.5 feet. Find the measure of ∠L to the nearest tenth of a degree.
Answer:
24.4
Step-by-step explanation:
just did it delta