The probability that the average completion time for a sample of 28 students will be more than 24 minutes is 0.46
The mean of freshman mason basic completion time is 24.6 minutes
The standard deviation is 5.8 minutes
The probability of completion for a sample of 28 students will be more than 24 minutes and can be found using the normal distribution,
P(x > 24)
We need to find the standard form of this random sample using the formula,
Z = X - μ / σ
where Z is the standard form
X is the random sample
μ is the mean
σ is the standard deviation
Let us substitute the known values in the above equation, we get
Z = 24 - 24.6/5.8
= -0.6 / 5.8
= -0.103
So the standard form is
P(x > 24) = P(z > -0.103)
By using the z-table, we could find the value of z,
P(z > -0.103) = 0.46
Therefore, the probability is 0.46
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What is the mode of the following numbers?
9,8, 7, 1,1
Answer:
Step-by-step explanation: 1 is the mode it has the most numbers that repeat
Answer:
The mode is 1.
Step-by-step explanation:
The mode is the number that occurs in a set the most. You can remember this as the word "most" and "mode" sounding similar.
Find the equation of a line parallel to 3x+3y=6 that passes through the point (7,-1)
The equation of the line parallel to 3x+3y=6 that passes through the point (7,-1) is y = -x + 8
How to find equation of a line?The equation of a line can be represented as follows:
y = mx + b
where
m = slopeb = y-interceptThe lines that are parallel have the same slopes.
Therefore, let's find the slope of the equation 3x+3y=6.
3x + 3y = 6
3y = - 3x + 6
divide through by 3
y = - x + 2
Therefore, the slope is - 1.
Let's find the y-intercept of the equation using (7, 1)
y = - x + b
1 = - 7 + b
b = 8
Therefore, the equation of the line is y = -x + 8
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ce
4. Six foot tall pine trees were planted during the
school's observation of Earth Awareness Week in
1990. The trees have grown at an average rate of
3/4 foot per year. How tall would they be in 2010?
The height of the trees in the year 2010, given their average rate of growth will be 21 foot
How to find the height of the trees?The trees are said to grow at a rate of 3/4 foot per year. In decimals this is:
= 3 / 4
= 0.75
The number of years between 1990 and 2010 is:
= 2010 - 1990
= 20 years
The height of the trees in 2010 would be:
= Current height x ( Rate of growth x number of years)
= 6 x (0.75 x 20)
= 21 foot
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a fast-food restaurant offers 6 different burgers, 5 different side orders, 8 different flavor drinks, and 9 different flavors of ice cream. in how many ways can a combo containing 2 burgers, 2 different sides, 3 different flavor drinks, and 3 ice cream flavors be made? a) 36 b) 705,600 c) 404,040 d) 165 e) 2,160 f) none of the above.
Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made = 529,200
What are combinations?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.Where:n – the total number of elements in a setk – the number of selected objects (the order of the objects is not important)! – factorialacc to our question-
A fast-food restaurant offers 6 different burgers, 6 different side orders, 7 different flavor drinks, and 9 different flavors of ice cream .choose 2 burgers from 6 different burger = choose 3 different sides from 6 different side orders = choose 2 flavor drinks from 7 different flavor drinks = choose 3 ice cream from 9 different flavors of ice cream = Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made=15*21*20*84529,200hence,Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made = 529,200
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1. 3x^2-7=31
2. 2x^2+18=0
3. 4x^2-26=-50
4. 2x^2+36=x^2
The quadratic equations are solved and answered below -
What is a equation?An equation is a mathematical statement showing the equivalence of two mathematical expressions. Example -
3x + 5 = 8
Given is -
3x² - 7 = 31
2x² + 18 = 0
4x² - 26 = - 50
2x² + 36 = x²
We have -
3x² - 7 = 31
3x² = 38
x² = 38/3
x² = 12.67
x = ±3.56
2x² + 18 = 0
2x² = - 18
x² = -9
x = ±3i
4x² - 26 = - 50
4x² = - 24
x² = -6
x = ±√6i
2x² + 36 = x²
x² = - 36
x = ±√6 i
Therefore, the quadratic equations are solved above.
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What is the value of 5/x + 1.25x when x=10
Convert 42°C into °F
Answer: 107.6
(42c x 9/5) +32
The dimensions of two rectangular prisms are shown below. How much more volume does the larger prism have than the smaller prism?
Answer:16/25 :D
Step-by-step explanation:does that help :3
A marathon is 26.2 miles long. There is a water station every 1 31/100 miles along the race route. Which expression represents the total number of water stations?
The expression that represents the total number of water stations is 26.2 ÷ 1.31
What is an expression?An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
It's important to note as an illustration, the expression x + y has the terms x and y with an addition operator between them.
In this case, the marathon is 26.2 miles long and there is a water station every 1 31/100 miles along the race route. The expression will be:
= 26.2 ÷ 1 31/100
= 26.2 ÷ 1.31
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please help
2/5÷2 3/4
2/5÷2 3/4
0.4 / 2.75
= 0.14545...
What is the value of negative 7 divided by 5?
Answer:
-7/5 or -1.4
Step-by-step explanation:
If m/AGD = 72°, then what is m/DGB?
177²
37. C
A
E
D
H
a
10
5
G/1
3/2
F
B
4
Please provide an explanation.
Answer:
m∠DGB = 108°
Step-by-step explanation:
Linear pair:If the non-common arms of two adjacent angles form a straight line, then the adjacent angles are called linear pair and they add up to 180°.
m∠AGD + m∠DGB = 180° {Linear pair}
72 + m∠DGB = 180
m∠DGB = 180 - 72
m∠DGB = 108°
simplify the following
2²y + 3x² + 4y + 3x²y + 2y
Answer:
10y+3x^2+3x^2y
Step-by-step explanation:
^2 means square
2^2 is 4 and different variable cannot be added.
Halima either travels by bus or walks when she visits the town centre.
The probability that she catches the bus to town is 0.4.
The probability that she catches the bus from town is 0.9
b) Work out the probability that Halima
walks at least one way.
The probability that Halima walks at least one way is 0.64
Calcualting Probability:
Probability is a branch of mathematics which is deals with the occurrence of a random event. The value of probability is expressed from zero to one but not more than 1. It is used to predict how likely events are to happen. The probability of an event 'E' is denoted by P(E).
Here we have
Halima either travels by bus or walks when she visits the town center
The probability that she catches the bus to town = 0.4
The probability that she catches the bus from town = 0.9
Let A and B be the events that she catches the bus to the town and the event that she catches the bus from the town respectively
=> P(A) = 0.4
=> P(B) = 0.9
The above events P(A) and P(B) are two independent events
Then the probability that she catches the bus to and from the town
=> P(A∩B) = 0.4 × 0.9 = 0.36
Therefore,
The Probability she walks at least one way P(A ∪ B) = 1 - P(A∩B)
=> P(A∪B) = 1 - 0.36
=> P(A∪B) = 0.64
Hence,
The probability that Halima walks at least one way = 0.64
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Colin buys a car for £45500. It depreciates at a rate of 6% per year. How much will it be worth in 3 years? Give your answer to the nearest penny where appropriate.
Answer:
The answer is 33,710 euros.
Step-by-step explanation:
Start by multiplying 45,550 by 6%. This will give 2,730. over the next three years the price decreases, so multiply 2,730 by 3, which is 8,190. Finally, subtract 45,550 by 8,190 to get 33,710.
HELP!
I will name you the BRAINLIEST!
The thing is in the photo.
I do not understand it because it looks like it has "!" Please help.
The expression 11! / 9!(11-9)! evaluates to 55
How to evaluate numbers with the factorial sign?The symbol ! is called factorial in mathematics.
Factorial can be defined as the product of all positive integers less than or equal to a given positive integer and denoted by that integer and an exclamation point.
Thus, factorial five is written as 5! meaning 5×4×3×2×1
It can also be written in shortened form as 5×4! or 5×4×3!
Let's evaluate 11! / 9!(11-9)! now:
11! / 9!(11-9)! = 11! / 9!(2)!
= 11×10×9! / 9!2!
= 11×10/ 2 (Note: 2! = 2×1 =2 )
= 110/2
= 55
Note: We shortened 11! to 11×10×9! because we want the 9! to cancel out each other. This is usually done to ease the evaluation. Also, note that 0! = 1
Therefore, the result of the evaluation of the expression 11! / 9!(11-9)! is 55
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a professor wants to study the effectiveness of a new study tool for a course. there are 150150150 students registered for the course. the professor assigns each student a number from 111 to 150150150 and uses a random number generator to assign the first 757575 students selected to use the new study tool. the remaining 757575 subjects are assigned to use the previous study tool. what type of experiment design is this?
This is a "completely randomized" type of experiment design.
In terms of data analysis as well as accessibility, and simplicity a randomized design is perhaps most likely the shortest experimental study.
The investigator expects that sometimes extraneous influences would affect treatment conditions similarly in general, so that any substantial improvements across conditions may be allocated appropriately towards the individual entity.
Thus the above approach is right.
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Sophia spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -2.1°F. Between 9am and noon, the temperature increased by 10.8°F. Between noon and 3pm, the temperature decreased by 13°F. Between 3pm and 6pm, the temperature dropped 18.4°F. What was the temperature at 6pm?
PLEASE HURRY I NEED IT FAST
Using mathematical operations, we know that temperature after 6 p.m. will be -22.7°F.
What exactly are mathematical operations?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition Subtraction (from left to right).So, the temperature after 6 p.m. will be:
The temperature at different times:
At 9 a.m. = -2.1°FBetween 9 - 12 = +10.8°FBetween 12 - 3 = -13°FBetween 3 - 6 p.m. = -18.4Now, calculate to get the temperature after 6 p.m. as follows:
= -2.1 + 10.8 - 13 - 18.4 = -22.7°FTherefore, using mathematical operations, we know that the temperature after 6 p.m. will be -22.7°F.
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Find the missing side of this right
triangle.
X
18
14
X =
✓[?]
Enter the number that belongs in the green box.
Answer:
128
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]14^2+x^2=18^2 \\ \\ 196+x^2=324 \\ \\ x^2=128 \\ \\ x=\sqrt{128}[/tex]
Write the equation of the line parallel to the x-axis passing through
the point (2,5).
Answer:
y=5 .................
PleASE HELP I WILL MARK BRANLY ITS ALGEBRA PROBLEM!!!
Hi, your answer will be 2.6 tons. Hope it helps.
Answer:
2.6 tons can be lifted by a rope with a diameter of 2 inches.
Step-by-step explanation:
2 = √39 / π
hope this helps you
(X^2 + 9) / (x-3)
Synthetic Division
Pls show work
The synthetic division (x²+9) by (x-3) has a quotient of x+3 and the remainder of 18
How to use synthetic division to solve polynomials?
Synthetic division is a way of performing the division of polynomials, with less writing and fewer calculations than the long division method
Given: (x²+9) ÷ (x-3)
The numerator can be written as p(x)= x²+9
The zero of the denominator g(x) is 3 (Note: the sign changed)
The coefficients of p(x) are arranged as follows, with the zero of g(x) on the left:
3 | 1 0 9
|________
The first coefficient after the bar is "dropped" to the last row.
3 | 1 0 9
|___________
| 1
The dropped number is multiplied by the number before the bar, and placed in the next column
3 | 1 0 9
| 3
|___________
| 1
An addition is performed in the next column
3 | 1 0 9
| 3
|___________
| 1 3
The previous two steps are repeated and the following is obtained:
3 | 1 0 9
| 3 9
|___________
| 1 3 18
Here, the last term (18) is the remainder while the rest are the coefficients of the quotient
The terms are written with increasing degree from right to left beginning with degree zero for the remainder and the result
1x + 3 | 18
Where the quotient q(x) = x+3 and the remainder r(x) = 18
Therefore, the quotient is x+3 and the remainder is 18
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A truck driver is driving from Nome, Alaska, I
Death Valley, California. Because he is traveling between locations with extreme temperatures, he needs
check
the weather continuously to make sure the gas
his truck remains in liquid form. The
gas he uses freezes at -40° F and evaporates at 140° F.
Part A: Write an inequality to represent the temperatures at which the gas in the truck will remain in liquid form.
(2 points)
Part B: Describe the
graph of the inequality completely from Part A. Use terms such as open/closed circles and shading directions. Explain what the solutions to
the inequality represent. (4 points)
Part C: In January 1989, the temperature in Nome, Alaska, dropped to -49° F. Would the gas in
the driver's truck have
remained in liquid form so he could have
driven on this day? Why or why not? (4 points)
The inequality of the change of state of the gas in the driver's truck indicates;
Part A: The inequality that represents the temperature at which the gas in the truck will be in liquid form is; -40 ≤ T ≤ 140
Part B: The graph is a shaded region bounded by two solid vertical lines at t = -40 and t = 140
Part C: The gas will be frozen because the temperature is below the freezing point temperature of the gas.
What is an inequality?An inequality indicates the relationship between two expressions that are not equal
The temperature at which the gas freezes = -40 °F
Temperature at which the gas evaporates = 140 °F
Part A: The inequality that represents the temperature at which the gas in the truck will remain in liquid form, t is; -40 ≤ t ≤ 140
Part B: The description of the graph of the inequality is a region on the coordinate plane bounded by two solid vertical lines at x = -40 and x = 140, the region between the two solid vertical lines is shaded/.
Part C: The temperature of -49 °F obtained in January 1989 in Nome, Alaska is not in the feasible region of the graph of the inequality, therefore, the gas in the driver's truck will not remain in liquid form, and would freeze, such that the driver would not drive on the specified date.
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if f(x) = 2x - 4 find f(k+1)
Answer: [tex]f(k+1)=2k-2[/tex]
Step-by-step explanation:
Substituting [tex]k+1[/tex] for [tex]x[/tex],
[tex]f(k+1)=2(k+1)-4\\\\f(k+1)=2k+2-4\\\\f(k+1)=2k-2[/tex]
Give the domain and range of the relationship. List items from least to greatest. Do not include duplicates. Determine whether or not the relationship is a function.
Answer:
Domain: {7, 8, 9} Range: {2, 3, 4, 5}
Step-by-step explanation:
This relationship is not a function because one input (7) gave two different outputs (2 and 4)
In a recipe, for every tablepoon of ugar there are four teapoon of alt. If a batch ue four tablepoon of ugar, how many teapoon of alt doe it ue?
tablepoon of ugar
teapoon of alt 1 4 4
There will be 16 teaspoons of salt is needed for the 4 tablespoons of sugar.
Given, In a recipe, for every tablespoons of sugar there are four teaspoons of salt.
If a batch use four tablespoons of sugar then we have to find the number of tablespoons of salt needed.
as, 1 sugar = 4 salt
4 sugar = 4×4 salt
4 sugar = 16 salt
So, the number of tablespoons of salt needed is 16 for the use of 4 tablespoons of sugar.
Hence, there will be 16 teaspoons of salt is needed for the 4 tablespoons of sugar.
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a rectangle has length 3 cm greater than it’s width. If it has an area of 28cm 2, find the dimensions of the rectangle
The length of the rectangle is 7 centimeter and the width of the rectangle is 4 centimeter
A rectangle has length 3 cm greater than it’s width
Consider the width of the rectangle = x
The length of the the rectangle = x + 3
The area of the rectangle = 28 square centimeter
The area of the rectangle = The length of the the rectangle × The width of the rectangle
Substitute the values in the equation
x(x+3) = 28
Apply the distributive property
[tex]x^2[/tex] + 3x = 28
[tex]x^2[/tex] + 3x -28 = 0
Split the middle term and solve the equation
[tex]x^2[/tex] -4x + 7x -28 = 0
Take common term outside
x(x-4) + 7(x-4) =0
Take common term outside
(x+7) (x-4) = 0
x = -7, 4
The length cannot be negative value
x = 4 centimeter
Then the length of the rectangle = x + 3
= 4 +3
= 7 centimeter
Hence, the length of the rectangle is 7 centimeter and the width of the rectangle is 4 centimeter
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for a binomial experiment, how many outcomes are possible for each trial? what are the possible outcomes? one; success three; success, failure, or neither two; success or failure one; failure
In a binomial experiment, there are two possible results for each trial, which are referred to as "success" and "failure," respectively.
Define the term binomial experiment?If the following criteria are satisfied, a statistical experimentation can be categorised as a binomial experiment:
There are n trials in a given number.For each trial, there are simply the two outcomes "success" and "failure." The letters p and q stand for the likelihood of success with one trial and the likelihood of failure on one trial, respectively.The n separate trials are repeated under the same circumstances.The binomial probability distribution describes how a binomial experiment's results will turn out. The proportion of successes attained there in n independent trials is the random variable X. The formula μ=np gives the standard deviation and can be used to compute the mean of X; σ = √npqThus, in a binomial experiment, there are two possible results for each trial, which are referred to as "success" and "failure," respectively.
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a nurse researcher conducted an in-depth study of anxiety in patients undergoing chemotherapy. the researcher coded data from interviews with 20 patients, and a coinvestigator independently coded 8 of the 20 interviews. the coding of the two researchers was then compared. which quality-enhancement strategy was the researcher using?
The researcher was using Investigator triangulation quality-enhancement strategy.
The Investigator triangulation strategy make use of more than one researcher, investigator or interviewer to study the data.This research strategy can help you improve the credibility and the validity of your findings.
Including the Investigator triangulation strategy , there are basically four types of triangulation strategies . The other three are listed below :
- Data Triangulation
- Theory Triangulation
- Methodological Triangulation
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Given the function:
y = 3x^2 − 10
What can replace y?
What is the range if the domain value is 3?
f(x) can be used to replace y and the range at the domain of 3 is 17
How to determine what can replace y?From the question, the equation is given as
y = 3x² - 10
The above means that y is a function of x
This means that we can replace y with f(x) which means "a function of x"
The range at the domain valueHere, we have
Domain value = 3
This means that
x = 3
So, we have
y = 3(3)² - 10
Evaluate
y = 17
Hence, the range is 17
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