0.86 of the exam scores are between 68 and 77.99 points
Since the set of computer science exam scores are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x-μ)/σ
Where
X = computer science exam scores.
μ = mean score
σ = standard deviation
From the information given,
μ = 71.33 points
σ = 333 points
We want to find the proportion of the exam scores are between 68 and 77.99 points. It is expressed as
P(68 < x ≤ 77.99)
For x = 68,
z = (68 - 71.331)/333 = - 0.01
Looking at the normal distribution table, the probability corresponding to the z score is -0.01
For x = 68,
z = (77.99 - 71.33)/333 = 0.25
Looking at the normal distribution table, the probability corresponding to the z score is 0.25
P(68 < x ≤ 77.99) = 0.25 + 0.01 = 0.26
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8 Ryan is 5½ feet tall. John is,5½ feet tall.
a Who is taller?
b
How much taller?
John is taller then Ryan, John is 0.08 feet taller then Ryan when John is 5 1/3 feet tall, whereas Ryan is 5 1/4 feet.
Given that,
John is 5 1/3 feet tall, whereas Ryan is 5 1/4 feet.
We have to find who is tall and how much is tall.
A fraction that has the numerator higher than or equal to the denominator is said to be improper.
Take the Ryan,
5 1/4 feet
21/4 feet
5.25 feet tall Ryan.
Take the John,
5 1/3 feet
16/3 feet
5.33 feet tall John.
We can see that John is taller then Ryan.
John is 0.08 feet taller then Ryan.
Therefore, John is taller then Ryan, John is 0.08 feet taller then Ryan when John is 5 1/3 feet tall, whereas Ryan is 5 1/4 feet.
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The average age of a class of 25 students is 10 years and the average age of another class of 30 students is 15 years. Find the average age of students of the two classes.
The average age of the two classes is 12.73 yrs.
How do we calculate average?Average This is the arithmetic mean, which is computed by adding a set of integers and then dividing by the number of numbers in the set.The average is just the sum of all the numbers divided by the total number of values. The mathematical average of a group of two or more data values is defined as a mean. Average is also known as mean or arithmetic mean. Mean is merely a way of describing the sample's average.Total age of 25 students =25×10=250years.
Total age of 30 students =30×15=450years
∴ Total age of 55 students =250+450=700years
∴ Required For 55 students = 700/55 = 12.73 yerars
∴ The average age of the two classes is 12.73 yrs.
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School rule permit no fewer than 2 teacher per 25 tudent. There are at leat 245 tudent enrolled in the chool. If x repreent teacher and y repreent tudent, which linear inequalitie can be ued to determine the poible number of teacher and tudent at the chool
The linear inequality is y≥ 245 and x ≥ 2y/25.
Linear Inequality:
Linear inequalities are defined as mathematical expressions in which two expressions are compared using the inequality symbol. The expression can be an algebraic expression or numerical expression or a combination of both.
Here it is given that x represents the teacher y represents the student.
It is given that no fewer than 2 teachers per 25 students.
x/y > 2/25
It is given that at least 245 students enrolled in the school.
As per the given condition,
The linear inequality for the students:
y≥ 245
Now the possible number of teachers (x).
As per the condition the required inequality for teachers will be:
x ≥ 2(y/25)
x≥ 2y /25.
Therefore the linear inequalities are y≥ 245 and x ≥ 2y /25.
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A regular polygon has 16 sides. If one of its angles measures (5h − 29)°, what is the value of h?
h = 56.5
h = 37.3
h = 33.6
h = 9
Answer:
(b) h = 37.3
Step-by-step explanation:
You want the value of h if an angle of a regular 16-gon is given as (5h-29)°.
AngleThe interior angle measure of a regular n-gon is given by ...
θ = 180° -360°/n
For n=16, the interior angle measure is ...
θ = 180° -360°/16 = 157.5°
Value of hThe value of h can be found by solving the equation ...
5h -29 = 157.5
5h = 186.5 . . . . . . add 29
h = 37.3 . . . . . . . divide by 5
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The total amount owed by Erica after 5 years is $10865
How to determine the total amount in five years?From the question, we have the following parameters:
Amount borrowed, P = $5300Interest rate on the loan, R = 8%Duration to repay the loan, t = 6 yearsNumber of times the loan is compounded in a year, n = 12, i.e. compounded monthlyAlso from the question, the formula to determine the compound interest formula to be represented as:
A = P(1 + r/n)^nt
Where the values of the variables have been stated above
Solving further, we replace the variables with their values in the above equation
So, we have the following representation
A = 5300 * (1 + (8%/12))^(6*12)
Evaluate the expression
A = 10865
Hence, the value of the amount after 6 years is $10865
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in a distribution with a mean of 100 and a standard deviation of 15, what is the probability that the score will be 120 or higher
0.0912 is the probability that the score will be 120 or higher .
What is probability explain with an example?
The likelihood that something will occur is the foundation of it. The justification for probability serves as the basic foundation for theoretical probability. A coin is tossed, for instance, and the theoretical likelihood of getting a head is 1 in 2.Zlower = X₁ - μ/σ = 120 - 100/15 = 1.33
the probability is compared as
Pr ( X ≥ 120 ) = Pr(X - 100/15 ≥ 120 - 100/15)
= Pr(Z ≥ 120 - 100/15
= Pr( Z ≥ 1.33)
= 0.0912
Since 0.0912 > 0.05 i.e. this IQ score is not unusual and hence I can believe the claim.
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(1 point) find the minimum sample size needed to be 99% confident that the sample variance is within 50% of the population variance.
The minimum sample size need for the given condition is 14
What is Confidence Level in Statistics?
The proportion of likelihood, or certainty, that the confidence interval will include the real population parameter when a random sample is drawn numerous times is referred to as the confidence level.
Solution:
The minimum sample sixe required when,
Confidence Level = 99%
Variance = 50%
Generally going through the table
Minimum sample size is
X = 14
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What does y and x stand for in an equation???
Answer: nothing it’s a variable
Jay has a 50 gallon water tank. He fills the tank with a garden hose at a rate of 8. 2 gallons per minute. There are 9 gallons of water in the tank
What is the maximum amount of time Jay can add water without causing the tank to overflow?
The maximum amount of time Jay can add water without causing the tank to overflow is 5 minutes.
Given:
Jay has a 50 gallon water tank. He fills the tank with a garden hose at a rate of 8. 2 gallons per minute.
There are 9 gallons of water in the tank.
water tank to fill = water tank capacity - water in the tank.
= 50 - 9
= 41 gallons.
Time = 41 / 8.2
= 41 / 82/10
= 41*10 / 82
= 10/2
= 5 minutes.
Therefore the maximum amount of time Jay can add water without causing the tank to overflow is 5 minutes.
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An online furniture store sells chairs for $200 each and tables for $600 each. Every day, the store can ship no more than 40 pieces of furniture and must sell no less than $12000 worth of chairs and tables. If xx represents the number of tables sold and yy represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.
If the minimum 30 chairs were sold , then the minimum number of Tables sold is 10.
Given as :
The cost of each chair = $ 200
The cost of each table = $ 600
The total number of furniture sold per day = 40
The minimum amount of selling per day = $ 12000
Let the total number of chair = C
The total number of table = T
So , according to question
C + T = 40 .......1
200 C + 600 T = 12000 .......2
Solving eq 1 and 2
200 C + 600 T = 12000
200 × ( C + T ) = 40 × 200
i.e 200 C + 200 T = 8000
or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 8000
Or, 400 T = 4000
i.e T = 10
Put The value of T in eq 2
So, 200 C + 600 × 10 = 12000
or , 200 C + 6000 = 12,000
Or, 200 C = 12000 - 6000
Or, 200 C = 6000
i.e C = 30
The number of chair sold is 30
If the number of chair sold is 10 ,
Then the min number of table sold = 200 × 30 + 600 T = 12000
i.e 600 T = 12000 - 6000
or, 600 T = 6000
∴ T = 10
I.e T = 10
Hence, if the minimum 30 chairs were sold , then the minimum number of Tables sold is 10 .
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This image would be used for part b.
Question B: During what interval(s) of the domain is the baseball’s height staying the same?
(btw I have to write the question)
Step-by-step explanation:
what does it mean for an object to stay at the same height ?
come on, you cannot tell me you don't understand this.
it means that e.g. the object is at a certain height (e.g. 50 ft above the ground) at the beginning of a time interval. then 1 seconds later it is still at the same height. 1 seconds after that it is still at this height. and so on.
how do you think that shows on a chart that displays height on an up or down scale ? as a flat (horizontal) line.
the chart is simply a rough picture of what the object does in real life.
so, where do we have flat (horizontal) segments in the curve ?
between second 2 and second 6.
and then infinitely after second 12.
in interval notation
[2, 6] and [12, +infinity)
please note the round bracket on the infinity side. it means the indicated end of the interval is not included. that is, because infinity is just a concept and not a number. it can never be reached. and it is therefore not included in the interval itself.
FYI - the flat line between second 2 and second 6 is not possible in real life, unless it rolls on a flat surface or something is holding it steady in place for these 4 seconds.
but a flying ball can never have a pure flat curve regarding height. only when it comes at rest on the ground. gravity would not allow that. not even for a bullet shot by a gun.
I need help pls this is due soon
30 points pls don't guess I really need help
Answer: x ≈ 2.67
Step-by-step explanation:
To solve, we will isolate the variable with reverse operations.
Given:
[tex]\displaystyle x^2=\frac{521}{73}[/tex]
Square root both sides of the equation:
[tex]\displaystyle x=\sqrt{\frac{521}{73}}[/tex]
Evaluate:
x = 2.6715138 ... ≈ 2.67
Determine the distance between the points (−6, −3) and (0, 5).
Answer: Total distance 2√10
Step-by-step explanation:
Rajiv wishes to make a cube without a lid with cardboard. the amount of cardboard available is 245 sq.cm. what should be the length of the side choosen in order to make the cardboard box?
The length of the side chosen in order to make the cardboard box is 7cm in the square.
What is square?
Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognised by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.
We are given that rajiv wishes to make a cube without lid with cardboard.
5a² = 245 sq.cm
a² = 245/5 = 49
a = 7 cm
Hence the length of the side chosen in order to make the cardboard box is 7 cm.
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Each marble bag sold by Debra's Marble Company contains 6 orange marbles for every 5 red marbles. If a bag has 40 red marbles, how many orange marbles does it contain?
how do i put SIF into standard form?
y=5/4x+3/4
The standard form of the given equation is 5x - 4y = -3.
What is a standard form of an equation?
The standard form for linear equations in two variables is Ax+By=C.
What is a slope intercept form?
The slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible. This form is frequently known as the y = mx + b form.
Here, we have
y = 5/4x+3/4
we have to convert this equation into standard form
y - 5/4x = 3/4
y - 5/4x - 3/4 = 0
4y - 5x - 3 = 0
4y - 5x = 3
5x - 4y = -3
Hence, the standard form of the given equation is 5x - 4y = -3.
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The points (0,g) and (2,10) fall on a line with a slope of 6. What is the value of g?
Answer:
rise/run
(10-g)/(2-0) must equal 6
(10-g)/2 = 6
10-g = 12
-g = 2
g = -2
Find the slope of the line graphed below.
Answer:
5/4
Step-by-step explanation:
Count up from the first point to the line where the second point lies, then write that number and count to the side till you reach the second point which would give you 5/4.
left on together, the cold and hot water faucets of a certain bathtub take minutes to fill the tub. if it takes the hot water faucet minutes to fill the tub by itself, how long will it take the cold water faucet to fill the tub on its own?
The cold water faucet will fill the tub on its own in 5.6 minutes.
Let us assume the time taken by cold water faucet to fill the tub be x minutes. Now, the rate of hot water faucet to fill the tub = 1/14
Combined rate of filling by both faucets = 1/4
Rate of filling by hot water faucet + Rate of filling by cold water faucet = Rate of filling of tub by combination of two faucets
1/14 + 1/x = 1/4
1/x = 1/4 - 1/14
1/x = (14 - 4)/(4×14)
1/x = 10/56
x = 56/10
x = 5.6 minutes
Thus, cold water faucet will take 5.6 minutes.
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The complete question is -
Left on together, the cold and hot water faucets of a certain bathtub take 4 minutes to fill the tub. if it takes the hot water faucet 14 minutes to fill the tub by itself, how long will it take the cold water faucet to fill the tub on its own?
Yani buys a certain brand of cereal that cost you $10 per box. Yani changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand. Y= 7x
Part A: How many more dollars is the price of a box if Yanis original of cereal than the price of a box of super-saving cereal? Show your work.
Part B: how much money does Yani save each month with the change In cereal brand if he buys 5 cereal boxes each month? Show your work.
Answer:
part A= 3
Part B= 15$
Step-by-step explanation:
Part A= 10-7=3
Part B = 5*10 =50 7*5= 35 50-35= 15$
There are 60 books that are either hardcover or softcover. The hardcover books each weigh 26 ounces. The softcover books each weigh 12 ounces. The books weigh 1,056 ounces in all
The number of hardcover books is 24 and the number of the softcover book is 36.
Here we have to find the number of hardcover and softcover.
Here it is given that 60 books are there.
Let x be the number of hardcovers, so the number of software books is 60- x.
The weight of each hardcover is 26 ounces and of softcover is 12 ounces.
The total weight is 1056 ounces.
So we get:
26x + ( 60 -x) 12 = 1056
26x - 12x + 720 = 1056
14x = 336
x = 24
60-x = 60 -24 = 36
Therefore the number of hardcovers is 24 and the number of softcovers is 36.
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The complete question:
There are 60 books that are either hardcover or softcover. The hardcover books each weigh 26 ounces. The softcover books each weigh 12 ounces. The books weigh 1,056 ounces in all. Find the number of hardcover and softcover books are there.
Senja earns $46,200 a year. Her exemptions total $2,900. This year she can deduct $5,000 for business expenses. She also has $2,500 in deductions for medical expenses. What is Senja's taxable income?
The amount that would be Senja's taxable income would be = $38,700
What is taxable income?This is the total income of an individual after the removal of discounts and exemptions from which such is expected to pay a certain percentage of tax.
The amount she earns a year = $46,200
Lat years total deductions = $2,900.
Deductions for business expenses = $5,000
Deductions for medical expenses = $2,500.
The total deductions for this year = $7,500
Therefore, the amount this year that is taxable income for Senja = $46,200 - $7,500 = $38,700
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Find the distance from p to line n in the following questions
Line n contains points (–2, 1) and (4, 1). Point p has coordinates (5, 7).
The distance from coordinates p (5, 7) to coordinates (–2, 1) and (4, 1) in line n are 9.21 units and 6.08 units respectively.
What is the distance between two points?The distance between two points is defined as the length of the line segment between two places representing their distance.
The distance from coordinates p (5, 7) to coordinates (–2, 1) in line n will be
⇒ √[(-2-5)² + (1-7)²]
⇒ √[(-7)² + (-6)²]
⇒ √[49 + 36]
⇒ √85
⇒ 9.21 units
The distance from coordinates p (5, 7) to coordinates (4, 1) in line n will be
⇒ √[(4-5)² + (1-7)²]
⇒ √[(-1)² + (-6)²]
⇒ √[1 + 36]
⇒ √37
⇒ 6.08 units
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(3x² + 15x+14) + (x+4)
Your answer should give the quotient and the remainder.
Answer:
ofco 1+1=2
Step-by-step explanation:
abc that's why
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lb and each box of books weighs 60 lbs. The maximum capacity of the elevator is 1110 lb. How many boxes of books can the delivery person bring up at one time?
The number of boxes that the delivery person can carry at a time is less than or equal to 15.
Given,
The weight of the delivery person = 160 lb
The weight of one box of books he carries = 60 lbs
The maximum capacity of the elevator = 1110 lb
We have to find the number of boxes of books can the delivery person bring up at one time;
Let x be the number of boxes;
Then,
The number of boxes that the delivery person can carry at a time;
160 + 60x ≤ 1110
60x ≤ 1110 - 160
x ≤ 950/60
x ≤ 15.8
That is,
The number of boxes that the delivery person can carry at a time is less than or equal to 15.
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-9 divided by -1 (-9+-2)
how please help
Answer:
-8 and then the second one is -11
Step-by-step explanation:
Answer:
Step-by-step explanation:
it’s negative 3
In a video game, Shar has to build a pen shaped like a right triangle for her animals. If she needs 9 feet of fence for the shortest side and 15 feet of fence for the longest side, how many feet of fencing is needed for the entire animal pen?
12 feet
16 feet
36 feet
38 feet
The number of feet for the fencing needed for the entire animal pen will be 36 feet. Then the correct option is C.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
In a computer game, Shar needs to construct a pen molded like a right triangle for her creatures. Assuming she wants 9 feet of wall for the most limited side and 15 feet of wall for the longest side.
Then the third side of the triangle is given as,
⇒ √(15² - 9²)
⇒ √(225 - 81)
⇒ √144
⇒ 12 feet
Then the perimeter of the triangle is given as,
P = 9 + 12 + 15
P = 36 feet
The number of feet for the fencing needed for the entire animal pen will be 36 feet. Then the correct option is C.
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Answer: 36
Step-by-step explanation: srry if wrong i used this online calculator
x+y=8
Let x=6. What is y?
Answer:
y = 2
Step-by-step explanation:
x + y = 8
6 + y = 8 Subtract 6 from both sides of the equation
y = 2
jenelle draws one card from a standard deck of 52 cards. determine the probability of drawing either a queen or a king? write your answer as a reduced fraction. answer
Answer:
18/7
Step-by-step explanation:
check this might work as I simply
What is -3 1/3 ÷ 9? It would be nice to have the answer. Like really nice. I never even done this before.
Answer:
-0.37 or -37/100
Step-by-step explanation:
On a calculator, take the fraction, and divide the 1 by the 3:
1 divided by 3 = 0.33.
So, we have -3.33 divided by 9.
Let's use the calculator to find the final answer:
-0.37
To convert this to a fraction, we have to convert -0.37 to -37 and find the common 10. So, 1 is less than 37 in this term. Same with 10. But, 100 will work:
37/100
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 12 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
-10/27
Step-by-step explanation:
so to divide fractions first we turn them into improper fractioms
-3 1/3 ÷9
-10/3÷9/1
now we use skip flip mutliply to find the answer where we keep the first term the same then flip the second fraction and then mutliply
-10/3÷9/1
-10/3 × 1/9
-10/27
hopes this helps please mark brainliest
