From the list of Z-scores below, the only score that corresponds to an outlier is -3.00:1.03, 0.99, 1.95, -3.00, -1.23, -2.13, -3.12, 1.32On a 60 point written exam, a student's score is normally distributed with a mean of 45 and a standard deviation of 7.
The Z score formula is used to calculate the Z score of a student's score on a 60 point exam if he/she receives a score of 50:Z = (x - μ) / σ
Z = (50 - 45) / 7
Z = 5 / 7
Z = 0.71
Therefore, a score of 50 on a 60 point exam corresponds to a Z-score of 0.71.
To compute the probability that a student will receive a score of 52 or higher, we must first calculate the Z-score of the 52 score:X = 52
Z = (x - μ) / σ
Z = (52 - 45) / 7
Z = 1
Therefore, the probability of a student receiving a score of 52 or above is the probability of a Z-score greater than or equal to 1.
Using a standard normal distribution table, we can find that the probability of a Z-score greater than or equal to 1 is 0.1587.
Therefore, the probability of a student getting 52 or above is 15.87%.
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If 1/3 pound of pecans cost $2.25 what is the cost per pound for pecans
Answer:
$6.75 Per pound
Step-by-step explanation:
2.25 = 1/3
2.25 + 2.25 = 2/3
2.25 + 2.25 + 2.25 = 6.75 / 3/3
the sum of two rational number is -8 ,if one of the number is -10/1, find the other number.
Answer:
2
Step-by-step explanation:
-10 + x = - 8 add 10 to both sides of the equation
x = 2
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work?
Answer:
C(h) = 50h + 25
$425
Step-by-step explanation:
Et the plumber works for h hours.
Cost of one hour = $50
Therefore, cost of h hours = $50h
Total cost = cost of h hours + plumber service call charge
C(h) = 50h + 25 (required equation)
Plug h = 8
C(8) = 50* 8 + 25 = 400 + 25 = $425
Redundancy in Hospital Generators Hospitals typically require backup genera-tors to provide electricity in the event of a power outage. Assume that emergency backup generators fail 22% of the times when they are needed (based on data from Arshad Mansoor, senior vice president with the Electric Power Research Institute). A hospital has two backup generators so that power is available if one of them fails during a power outage.
Required:
a. Find the probability that both generators fail during a power outage.
b. Find the probability of having a working generator in the event of a power outage. Is that probability high enough for the hospital?
a. To find the probability that both generators fail during a power outage, we can use the assumption that the failure of one generator is independent of the failure of the other. We multiply the probability of one generator failing by the probability of the other generator failing.
b. To find the probability of having a working generator in the event of a power outage, we can calculate the complement of the probability that both generators fail. This represents the probability that at least one generator is working. We can then assess whether this probability is high enough for the hospital's needs.
a. The probability of one generator failing is given as 22% or 0.22. Since the failure of one generator is assumed to be independent of the other, the probability that both generators fail is obtained by multiplying the individual probabilities together:
P(both generators fail) = P(generator 1 fails) * P(generator 2 fails) = 0.22 * 0.22 = 0.0484
b. The probability of having at least one working generator can be found by taking the complement of the probability that both generators fail:
P(at least one working generator) = 1 - P(both generators fail) = 1 - 0.0484 = 0.9516
The hospital has a 95.16% probability of having a working generator in the event of a power outage. Whether this probability is high enough for the hospital depends on its specific needs and the criticality of uninterrupted power supply in various scenarios. It is advisable for the hospital to assess its requirements and consider the potential consequences of a generator failure in order to determine if the probability meets their desired level of reliability.
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Electricty what is the voltage V of an electron circuit with a current C of 2-j and an impedence i of 3+2j? Use the formula v=ci
The value of the voltage of the electricity is 6 + j + 2j²
How to determine the voltage of the electricity?From the question, we have the following parameters that can be used in our computation:
C = 2 - j
I = 3 + 2j
The formula of voltage is given as
V = CI
Substitute the known values in the above equation, so, we have the following representation
V = (2 - j) * (3 + 2j)
Open the brackets
So, we have
V = 6 + 4j - 3j + 2j²
Evaluate the like terms
V = 6 + j + 2j²
Hence, the voltage is 6 + j + 2j²
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HURRY PLEASE HELP -2[7 - 3(-8 + 5)]
Answer:
-32
Step-by-step explanation:
Answer:
-32
Step-by-step explanation:
bomdas
Lin's father is paying for a $20 meal. He has a 15%-off for the meal. After the discount, a 7% sales tax is applied. How much is the 15% coupon worth?
I need this answered sometime today pls , if you get it right when i submit test i will give you brainliest! :)
help mee pleaseee!!!!
Answer:
I want to say it is you last option (8, -1)
Step-by-step explanation:
if y = 8
your equation would be
8 = -4x + 4 i combined like terns which would be 8 and 4 so do the opposite of addition which is subtraction 8 - 4 is 4 then do the same to the 4 to cancel it out so 4 = -4x so i would think it has to be -1
I want to help i am very sorry if it is wrong i hope this helps.
How do I get the volume of a cuboid of length 6.2cm, width 3.4cm, and height 5cm?
Considering the provided information and that the volume of a cuboid is the result of multiplying the width by the length by the height, we obtain the following:
Volume of a cuboid= Width * Length * Height
Volume of a cuboid= 3.4cm * 6.2cm * 5cm
Volume of a cuboid= 105.4 cm³
Finally we obtain that the volume of the cuboid is 105.4 cm³
30^2 + 15^2 = c^2
Use pythagorean theorem
Answer:
c = 33.5
Step-by-step explanation:
\(30^{2} + 15^{2} = c^{2}\)
\(900 + 225 = c^{2}\)
\(1125 = c^{2}\)
(find square root of both sides to get c alone)
\(c = 33.541\)
Simplify (4^7/5^5)^3
Answer:
C
Step-by-step explanation:
When the whole number plus the exponent is being put to an exponent, you multiply the exponents
three equivalent expressions 6x + 24
A. 6(x +4)
B. 6(x + 24)
C. 3(12 + 2x)
D. 2(3x + 12)
E. 3x + 3 + 20 + 4x
calculate the surface area
Answer:
228 square meters
Step-by-step explanation:
The length of time, 7 seconds, that the pendulum in the clock takes to swing is given by the formula
T=_6
* √(1+g²)*
Rearrange the formula to make g the subject.
Given that length of time, 7 seconds, that the pendulum in the clock takes to swing is given by the formula
T=_6 * √(1+g²)* when g is the subject of the formula, it will become g = √[(T/6)² - 1]
How to make g as the subject of the formulaThe formula to be rearranged is
T = 6 * √(1 + g²)
Divide both sides by 6, we get:
√(1 + g²) = T/6
Square both sides
1 + g² = (T/6)²
Subtract 1 from both sides
g² = (T/6)² - 1
By taking the square root of both sides, we have
g = √[(T/6)² - 1]
Therefore, the formula for g in terms of T is g = √[(T/6)² - 1]
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why is 0.35 is < than 5
Answer:
bc 0<0.35<1
and 5 is more than 1
Step-by-step explanation:
Answer:
It is less because the number 0.35 has a lower value meaning that it has less value.And the 5 is like a whole.
Step-by-step explanation
Say if you had 5 pizza's that would be more then just having the top of the pizza.
A dependent variable is the variable that we wish to predict or explain in a regression model. True False
True. In a regression model, the dependent variable is the variable that we aim to predict or explain using one or more independent variables.
In a regression model, the dependent variable is indeed the variable that we aim to predict or explain. It represents the outcome or response variable that we are interested in understanding or analyzing. The purpose of the regression analysis is to examine the relationship between this dependent variable and one or more independent variables. By identifying and quantifying the influence of the independent variables on the dependent variable, regression analysis allows us to make predictions or explanations about the behavior or value of the dependent variable.
The regression model estimates the relationship between the variables based on observed data and uses this information to infer how changes in the independent variables impact the dependent variable.
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I need HELP in this question
The mass of the yoghurt is 101 g.
Step-by-step explanation:Given :The mass of the dessert is 185 gThe ratio of the mass of yoghurt is 2 : 3To Find :The mass of the yoghurt = ?Solution :Dessert mass is 185 g
The ratio of the yoghurt is 2 : 3
Let 2x + 3x = 5x , 5x is the yoghurt mass is equal to 185 g
\( \bf \longrightarrow{5x = 185 }\\ \bf \longrightarrow{x = \frac{185}{5} } \\ \bf \longrightarrow{x = 37}\)
\(\therefore\) Mass of yoghurt = 3x
\( \bf \longrightarrow{3 \times 37 = 101g}\)
It takes 10 people 15 hours to prepare the gym for the school dance. How many hours would it take 12 people to prepare the gym?
Answer
18 hours
Step-by-step explanation:
if 10 people spend 15 hours
one person spend 15/10=1.5
so 1.5 × 12=18hours
Find an equation of the tangent plane to the given parametric surface at the specified point.r(u, v) = u2 i 8u sin(v) j u cos(v) k; u = 1, v = 0
The equation of tangent plane is -x + 2x - 1 = 0
Given,
r = < u² , 8usinv , ucosv >
Here,
r = < u² , 8usinv , ucosv >
Differentiate partially with respect to u and v,
\(r_{u}\) = < 2u , 8sinv , cosv >
\(r_{v}\) = < 0, 8ucosv , -4sinv >
Substitute u = 1 and v = 0
\(r_{u}\) = < 2, 0 , 0 >
\(r_{v}\) = < 0 , 8 , 0 >
Now,
N = \(r_{u}\) × \(r_{v}\)
N = \(\left[\begin{array}{ccc}i&j&k\\2&0&1\\0&8&0\end{array}\right]\)
N = -8i -j(0) +16k
N = < -8 , 0 , 16 >
Tangent plane
-8x + 16z + d = 0
Coordinates of tangent plane : <1, 0 ,1>
Substitute the values in the equation,
-8(1) + 16 (1) + d = 0
d = -8
Substitute in the tangent plane equation,
-8x + 16z - 8 = 0
-x + 2x - 1 = 0
Thus equation of tangent plane: -x + 2x - 1 = 0
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tavon has a $50 gift card that loses $2 for each 30-day period it isnt used. he has a $40 card that loses $1.50 for each 30-day period day it is not used. write and solve an equation to determine the number of 30-day periods until the value of the gift cards will be equal. what will the value of each card be when they have equal value?
Answer:
bmbmvm mbxmvxkbxkhxkbxkhxkhxkhxkhxkbxkhxkgx୮୬୩୭୪୨୭୪୨୭୨୭୨୭୪୭୪
Answer:
Answer:
Let the number of 30 day period be = p
Step-by-step explanation:
part b= So, there will be 20 30-day periods until the cards will be equal in value. The answer is $10
Effect size indicates whether one variable causes another. the amount of variance in a set of scores. whether an obtained research finding is valid. the strength of the relationship between variables.
Effect size is a measure of the strength of the relationship between two variables. It does not indicate whether one variable causes another. The amount of variance in a set of scores is measured by the variance.
Whether an obtained research finding is valid is determined by statistical significance. Effect size is a quantitative measure of the magnitude of the experimental effect.
It is a way of quantifying the strength of the relationship between two variables. Effect sizes are typically reported on a standardized scale, such as Cohen's d or r.
Effect size does not indicate whether one variable causes another. Causation can only be inferred from a well-designed experiment that controls for confounding variables.
Effect size can be used to assess the strength of the relationship between two variables, but it cannot be used to determine whether one variable causes another.
The amount of variance in a set of scores is measured by the variance. Variance is a measure of how spread out the scores are in a set.
A high variance indicates that the scores are spread out over a wide range, while a low variance indicates that the scores are clustered together.
Whether an obtained research finding is valid is determined by statistical significance. Statistical significance is a measure of how likely it is that the observed results could have occurred by chance. A statistically significant result means that the observed results are unlikely to have occurred by chance alone.
Effect size, variance, and statistical significance are all important concepts in statistics. Effect size measures the strength of the relationship between two variables,
variance measures the spread of scores in a set, and statistical significance measures the likelihood that the observed results could have occurred by chance.
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Find the slope of the line that passes through -2,8 and 0,8
Answer:
m=0
Step-by-step explanation:
8-8
0--2
0
2
0
The slope of the line that passes through points; -2,8 and 0,8 is; 0.
What is the slope of the line that passes through the points?The slope of the lines that passes through the given points is required.
Hence, it follows that;
Slope, m = (8 - 8)/(0-(-2))
Slope= 0/2 = 0.
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Will mark brainliest - GEOMETRY, show work plz
Answer:
1. Slope is 3/2
2. Slope is -2/3
3. Slope is 3/2
Step-by-step explanation:
Plz mark as Brainliest!
Answer:
Step-by-step explanation:
(-8-4)/(5+3)= -12/8= -3/2
perp. 2/3
y - 4 = 2/3(x + 3)
y - 4 = 2/3x + 2
y = 2/3x + 6
y - 4 = -3/2(x + 3)
y - 8/2 = -3/2x - 9/2
y = -3/2x - 1/2
The real-life scenarios below represent the importance of using basic arithmetic and algebra to solve real-world quantitative problems.
Choosing a gym membership that fits my budget and lifestyle.
Gym A has a monthly payment of $50.
Gym B has a cost of $10 per visit.
Explain how you would calculate the result. You can infer and add any additional details you feel you might need to create the calculation.
To determine which gym membership is more cost-effective, you would need to compare the total cost for a given period. Let's consider a time frame of one month.
For Gym A, the monthly payment is $50. This means that regardless of how many times you visit the gym, you will pay a fixed amount of $50 each month.
For Gym B, the cost is $10 per visit. To calculate the total cost for a month, you need to estimate the number of times you plan to visit the gym in that period. Let's assume you plan to visit the gym 10 times in a month.
The total cost for Gym B would then be calculated as:
Total Cost for Gym B = Number of Visits * Cost per Visit
Total Cost for Gym B = 10 visits * $10 per visit
Total Cost for Gym B = $100
Comparing the total costs, we find that for Gym A, the monthly payment is $50, and for Gym B, the estimated cost for 10 visits is $100. In this case, Gym A would be the more cost-effective option if you plan to visit the gym at least 10 times in a month. However, if you anticipate visiting the gym less than 10 times in a month, Gym B might be the more affordable choice.
By using basic arithmetic to calculate the total costs based on the given pricing structures, you can make an informed decision regarding the gym membership that fits your budget and lifestyle.
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Kirsten has an area of 70 square feet for a flower garden. She plants 5 varieties of flowers equally in her garden. which ratio shows the square feet per flower type
Answer:A flower garden occupies 57 portion of a park. If the park has an area of 14725sqm, find the area of the garden
Step-by-step explanation:
Need answers
Chapter 3 geometry test on big ideas math
Answer/Step-by-step explanation:
WX: 4.47
\(4^{2} + 2^{2} = 20\\\sqrt{20} = 4.47\)
XY: 3.61
\(3^{2} + 2^{2} = 13\\\sqrt{13} = 3.61\)
YZ: 4.12
\(1^{2} + 4^{2} = 17\\\sqrt{17} =4.12\)
WZ: 4.24
\(3^{2} + 3^{2} = 18 \\\sqrt{18} = 4.24\)
The slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
Given is a polygon on a coordinate plane with vertices =
W = (-5, 1)
X = (-3, 5)
Y = (-1, 2)
Z = (-2, -2)
We need to find the slopes of line =
WX, XY, YZ and WZ
To find the slopes of the lines connecting the vertices of the polygon, we can use the formula for the slope between two points (x₁, y₁) and (x₂, y₂):
slope = (y₂ - y₁) / (x₂ - x₁)
Let's calculate the slopes for each line:
1) Slope of line WX:
W = (-5, 1)
X = (-3, 5)
slope(WX) = (5 - 1) / (-3 - (-5))
= 4 / 2
= 2
So, the slope of line WX is 2.
2) Slope of line XY:
X = (-3, 5)
Y = (-1, 2)
slope(XY) = (2 - 5) / (-1 - (-3))
= -3 / 2
= -1.5
So, the slope of line XY is -1.5.
3) Slope of line YZ:
Y = (-1, 2)
Z = (-2, -2)
slope(YZ) = (-2 - 2) / (-2 - (-1))
= -4 / (-1)
= 4
So, the slope of line YZ is 4.
4) Slope of line WZ:
W = (-5, 1)
Z = (-2, -2)
slope(WZ) = (-2 - 1) / (-2 - (-5))
= -3 / 3
= -1
So, the slope of line WZ is -1.
Therefore, the slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
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Give a context-free grammar for each of the following languages. Please try to keep your grammars concise. a) L₁ = {w = {a, b}*w contains at least five as} b) L₂ = {a¹b³c¹|i, j, k ≥ 0 and i =jor i = k} c) Is your language for b) inherently ambiguous?
(a). The above context-free grammar (CFG) generates the language that has at least five "a's" and any combination of "b's".
(b). The above CFG generates the language {a¹b³c¹|i, j, k ≥ 0 and i =jor i = k}.
(c). it is ambiguous.
(a). Context-free grammar for L₁ = {w = {a, b}*w contains at least five as}:
S → aaaaaA | aaaaS | bS | aA | bA | ε
A → aA | bAb → bB | ε
B → bB | aB | ε
The above CFG generates the language that has at least five "a's" and any combination of "b's".
(b). Context-free grammar for L₂ = {a¹b³c¹|i, j, k ≥ 0 and i =jor i = k}:
S → AbC | AcB | BCa | CBa
A → aA | ε
B → bBb
B → bBbBbBb
C → cC | ε
C → cC | ε
The above CFG generates the language {a¹b³c¹|i, j, k ≥ 0 and i =jor i = k}.
(c). Yes, the language for b) is inherently ambiguous. It is because there are two variables A and B in the grammar, so the string can be generated in two ways. Thus, it is ambiguous.
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A dance team is going to spend $1,440 to purchase all sweatshirts or all jackets for the team members. Sweatshirts cost $24 each. Jackets cost $32 each. What is the greatest number of sweatshirts or jackets the team can purchase?
Answer:
Answer:
60 sweatshirt
Or
45 jackets
Step-by-step explanation:
Total amount = $1,440
Sweatshirts = $24
Jackets = $32
What is the greatest number of sweat- shirts or jackets the team can purchase?
The greatest number of sweat- shirts the team can purchase = Total amount / cost of sweatshirt
= $1,440 / $24
= 60
The greatest number of jackets the team can purchase =Total amount / cost of jackets
= $1,440 / $32
= 45
Therefore, the greatest number of sweat- shirts or jackets the team can purchase is
60 sweatshirt
Or
45 jackets
Step-by-step explanation:
Question 1(Multiple Choice Worth 2 points)
(01.06)
3
Determine the quotient of 1-4
35
O
119
0 23
29
I
2
415
Answer:
ion know dis one
Step-by-step explanation:
Which table of values represents exponential decay?
The table of values that represents exponential decay is (c)
How to determine the table of values represents exponential decay?From the question, we have the following parameters that can be used in our computation:
The table of values
An exponential function is represented as
y = abˣ
Where
Rate = b
When the rate is less than 1, then the table represents a decay
i.e when y reduces as x increases
The table that has the above features is the table (c)
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