Jerial would be responsible for paying $295 if she used more than the allotted 2 GB in a given month.
What is word problem?Word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
Using linear equations,
Data plans cost $45 per month.
Additional fee equals $15 per GB
Jerial would be responsible for paying the following in a month if she used 2 GB more than allowed: = $45 + $15(5) = $45 + $ 250 = $ 295
The monthly payment that Jerial will be required to make as her usage exceeded x GB is:
= $45 + $15 (x)
= $45 + $15x
Hence, Jeriel will pay $45 + $15x when he used over a GB in a month.
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11. If two million is the dividend and two hundred is the LE divisor, what is the quotient?
Answer:
bacon sotda
Step-by-step explanation:
I remember thejnwnenenenensenenenejee
Please help me i have no clue how to do this thanks
what is the rate of change for the equation y = 2x+ 40
Answer: 2
Step-by-step explanation: When we talk about rate change, we are talking about the slope!
The slope is 2x which means the rate change is rise 2 and run over 1.
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If Z (4, 3) is translated to Z (2, 7), what is the translation?
Answer: Left 2, Up 4
Step-by-step explanation:
We see the x decrease by 2 from 4 to 2 so the translation is left 2, and the y increases by 4 from 3 to 7, so it is up 4!
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For hi birthday Kameron received 18 toy car. He plan to tart collecting more car and i going to buy 2 more every month. Write the number of car to go with the month 0:18 in ratio form
The ratio of the number of cars to the month's 0:18 is 1:3.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question-
18 toy automobiles were given to Kameron.
And he intends to begin accumulating more automobiles, planning to purchase two more each month.
Month 0 finds him with 18 automobiles.
At the end of the 18th month, he will possess:
(18 + (218) vehicles = (18 + 36) cars = 54 cars
The ratio of month 0 to month 18 will therefore be as follows:
18:54 = 1:3
HENCE, the ratio form for the number of cars to accompany the month 0:18 is 1:3.
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The portions of gold in three bracelets are shown. Which bracelet has the highest portion of gold? A. 62% B. 3/5 C.0.65
The portion of gold in three bracelets that are shown. The bracelet that has a portion of gold is 0.65. The correct option is c.
What is gold?Gold is actually a very soft metal. Rings constructed of pure gold would bend and disfigure over time. Other elements are added to strengthen the ring. 100% gold is far too soft and far from as durable as it should be.
Gold is a pure element. It is found in the earth's crust when making jewellery from gold, and some other metals like copper or silver is mixed with it.
Therefore, the correct option is c. 0.65.
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The department of management science at Tech has sampled 250 of its majors and complied the following frequency distribution of grade point averages (on a 4.0 scale) for the previous semester:GPA Frequency0-0.5 1.5-1 41-1.5 201.5-2 352-2.5 672.5-3 583-3.5 473.5-4 181)Please calculate the probability of a student obtaining GPA at each range listed in the table above. You should calculate 8 probabilities, one for each GPA range. Please show your detailed calculation.2)What is the probability that a student’s GPA is higher than 1.5 (not include GPA = 1.5)?3)What is the probability that a student’s GPA between 2.5 (not include 2.5) and 3.5 (include 3.5)?
1) The probability table is calculated by the formula. 2) the probability that a student scores higher than 1.5 is 0.9, and 3) the probability a student scores between 2.5-3.5 is 0.47.
1)
We know that the probability of any event
= no. of observation for the event/total n. of observation
Here, the total no. of observations is 250
Hence we get the following probability table
GPA Frequency
0-0.5 1/250
0.5-1 4/250
1-1.5 20/250
1.5-2 35/250
2-2.5 67/250
2.5-3 58/250
3-3.5 47/250
3.5-4 18/250
2)
The probability that a student's GPA is higher than 1.5 is
P(1.5-2) + P(2-2.5) + P(2.5-3) + P(3-3.5) + P(3.5-4)
= (35 + 67 + 58 + 47 + 18)/250
= 225/250
= 0.9
3)
The probability that a student's GPA is between 2.5 and 3.5
= P(2.5-3) + P(3-3.5)
= (58 + 47)/250
= 105/250
= 0.42
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Complete Question
The department of management science at Tech has sampled 250 of its majors and compiled the following frequency distribution of grade point averages (on a 4.0 scale) for the previous semester:
Please calculate the probability of a student obtaining a GPA at each range listed in the table above. You should calculate 8 probabilities, one for each GPA range. Please show your detailed calculation.2)What is the probability that a student’s GPA is higher than 1.5 (not include GPA = 1.5)?3)What is the probability that a student’s GPA is between 2.5 (not include 2.5) and 3.5 (include 3.5)?
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The length of a rectangle is 2 meters longer than the width. If the area is 22 square meters, find the rectangle's
dimensions. Round to the nearest tenth of a meter.
Answer:
5.8x3.8
Step-by-step explanation:
x times (x+2) = 22
If x – y = 6 and x is twice the value of y, what is the value of x + y ?
Answer:
18
Step-by-step explanation:
x - y = 6
Given: 2x - x = 6 since x is twice the value of y.x = 6
2x = 6 · 2 = 12
12 + 6 = 18
x is twice the value of y can be written as:
x= 2y
then we replace x with 2y in the given equation
x - y = 6
2y - y = 6
y = 6
then to find x we replace y with 6 in either of the equations
x = 2y
x = 2(6) = 12
or
x - 6 = 6
x= 6 + 6 = 12
now find value if x + y
12 + 6 = 18
A 24-inch board is to be cut into three pieces so that the second piece is twice as
long as the first piece and the third piece is 3 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
Answer:
The answer to your question is: first piece = 4 in, second piece = 8 in, third piece = 12 in
Step-by-step explanation:
Data
total length = 24 inches
first piece = x in
second piece = 2x
third piece = 3x
Equation
x + 2x + 3x = 24
6x = 24
x = 24/6
x = 4 lengths of the first piece
second piece = 2(4) = 8 inches
third piece = 3(4) = 12 inches
the manager of a store buys marine radios in lots of 48. suppose that, on the average, 2 out of each group of 48 are defective. the manager randomly selects 4 radios out of the group to test. assume independence. (round your answers to 4 decimal places.) (a) what is the probability that he will find 2 defective radios?
The probability that he will find 2 defective radios is 0.0350.
Given that,
The store's management purchases maritime radios in quantities of 48. Let's say that, on average, 4 people out of every 48 make up a faulty group. Out of the group, the manager chooses four radios at random for testing.
P = 4/48 = 0.083
n=4
P(X=x) = nCₓ Pˣ (1-P)ⁿ⁻ˣ
a) The probability that he will find 2 defective radios P(X=2)
P(X=x) = nCₓ Pˣ (1-P)ⁿ⁻ˣ
P(X=2) = 4C₂ (0.083)² (1-0.083)²
P(X=2) = 0.0350
Therefore, P(X=2) is 0.0350
Therefore, the probability that he will find 2 defective radios is 0.0350.
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4.) numbers is a game in which you bet $1 on any 3-digit number from 000 to 999. if your number comes up, you get $500. find the expected payback.
As the probabilities of random variables are negative so we can expect to lose roughly 50 cents on each $1.00 ticket we purchase.
How did the math game function?
The rules of the "numbers" game are simple: a player selects a three-digit number between 000 and 999. Anyone who picks the winning number receives a payout equal to 600 times their original wager. The winning number is decided by a publicly disclosed source. The majority of bets were for $1 or less, and frequently.
What does a probability arrangement mean?
A permutation is an arrangement (or ordering) of a collection of items. (We can also arrange only some of the objects in the set.) The arrangement of the objects in a permutation depends on their order.
The random variable-0.499/1000
The random variable "winning" are $1 and $600.
and their probabilities are 999/1000 and 1/1000, respectively.
The expected "winnings" are calculated as follows:
=(999/1000)(-1)+(1/1000)(500)
=-0.499/1000
=-0.499 cents
so we can expect to lose roughly 50 cents on each $1.00 ticket we purchase.
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Nicholas bought 5 pens for $3. At this rate, how much will he spend on 10 pens?
$10
$6
$5
$3
The correct answer is $6
How did we figure out this?To solve this question, we need to multiply the numbers given.
Given:
[tex]10,5,3,2[/tex]
Therefore, the equation goes like this:
[tex]5*2\\3*2[/tex]
5 x 2 = 103 x 2 = 6Therefore, the correct answer is $6
Kimberly i hoting a movie marathon over the weekend. There will be p people at the party altogether. Kimberly etimate he'll need one bag of cheee popcorn and one pack of gummy worm per peron. A bag of cheee popcorn cot $2. 50, and a pack of gummy worm cot $1. 50. Pick all the expreion that repreent how much money Kimberly will pend on cheee popcorn and gummy worm
With the help of unitary method we can say that, $4 money Kimberly will pend on cheese popcorn and gummy worm.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question-
A bag of cheese popcorn cost= $2.50
A pack of gummy worm cost =$1. 50
2.50 * 1.50
4
Hence, $4 money Kimberly will pend on cheese popcorn and gummy worm.
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Determine whether the pair of lines is parallel, perpendicular, or neither.
x-9y=-4
y = 5x-9
Answer: Perpendicular
given a collection of intervals, decide whether there is a subset of non-overlapping intervals of size at least k.
Non-overlapping intervals:
If the intervals(say interval a & interval b) doesn't overlap then the set of pairs form by [a. end, b. start] is the non-overlapping interval.
Interval:
In mathematics, a (real) interval is a set of real numbers that contains all real numbers lying between any two numbers of the set. For example, the set of numbers x satisfying 0 ≤ x ≤ 1 is an interval which contains 0, 1, and all numbers in between. Other examples of intervals are the set of numbers such that 0 < x < 1, the set of all real numbers {\displaystyle \mathbb {R} }\mathbb {R} , the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton (set of one element).
Overlapping intervals:Let's take the below mentioned overlapping intervals example to explain the idea: If both ranges have at least one common point, then we say that they're overlapping. In other words, we say that two ranges and are overlapping if: On the other hand, non-overlapping ranges don't have any points in common.
Given N set of time intervals, the task is to find the intervals which don’t overlap with the given set of intervals.
Examples:
interval (a) = { {1, 3}, {2, 4}, {3, 5}, {7, 9} }
Output: [5, 7]
The only interval which doesn’t overlaps with the other intervals is [5, 7].
interval (a) = { {1, 3}, {9, 12}, {2, 4}, {6, 8} }
Output: [4, 6] and [8, 9]
There are two intervals which don’t overlap with other intervals are [4, 6], [8, 9].
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Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
y = -5 x=3
Answer: Perpendicular
Reason:
y = -5 is horizontal
x = 3 is vertical
A horizontal line is always perpendicular to a vertical line. The two lines form a 90 degree angle.
One measure of an angle in a triangle is 96°. The other two angle measures are represented by 2 and + 12. Determine the other two degree measures for the missing angles.
The measure of missing angles is 48° and 36°.
Define angle sum property.The angle sum property of a triangle states that the sum of the three internal angles of a triangle equals 180 degrees. Three line segments combine to form a triangle, a closed shape having interior and exterior angles. When the values of the other two angles are known, one may utilize the angle sum property to determine the measure of an unknown interior angle.
Given Measure of one angle= 96, one angle= 2x, other angle= x + 12.
Using the angle sum property, we get
96 + 2x + x + 12 = 180
108 + 3x = 180
3x = 180 - 108
3x = 72
x = 72/3
x = 24
So, one angle = 2(24
= 48
The other angle is
x + 12 = 24 +12
= 36
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The complete question is:
One measure of an angle in a triangle is 96°. The other two angle measures are represented by 2x and x + 12. Determine the other two degree measures for the missing angles."
there are 3 seniors and 15 juniors in mrs. gillis’s math class. three students are chosen at random from the class. a. what is the probability that the group consists of a senior and two juniors? b. if the group consists of a senior and two juniors, what is the probability that stephanie, a senior, and jan, a junior, are chosen?
a) is 0.386 and of b) is 0.017
What is Probability?
One use of probability theory is calculating the odds that experiments will succeed or fail. Probabilities can be used to determine, for example, the possibility of flipping a coin and obtaining heads or tails, or the likelihood of making a research error. Understanding the formula for estimating probabilities in equiprobable sample spaces, as well as the probabilities of the complementary event, etc., as well as the likelihood of two occurrences joining together, is essential to understanding this area of mathematics.
Given that:
no of seniors = 3
no of juniors = 15
a) probability that a group consist of a senior and two juniors:
[tex]=\frac{^{3} C_{1} *^{15} C_{2 }}{^{18} C_{3}}\\\\=\frac{3 * 105}{316} \\\\=0.386[/tex]
b) if the name of a student given then there is only one way to select it
For example = we have to select 1 senior which name is already given means there is only one way to select it, and 2 junior in which one name is given then it can only selected by one way, but still one junior student has to be selected out of remaining 14 student which can be selected by [tex](^{14}C_{1} =14)[/tex] different ways.
[tex]=\frac{1 *1*{^{14} C_{1}}}{^{18} C_{3}}} \\\\= \frac{14}{316} \\\\= 0.017[/tex]
Hence, The answer of a) is 0.386 and of b) is 0.017
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Which of these fractions will always result in a terminating decimal no matter what the whole-number numerator is?
A ?/9
B ?/200
C ?/60
D ?/120
Answer:
B
So convert the number over 200
a rectangle has perimeter 52 km, and its area is 165 sq-km. find the dimensions of this rectangle. (for purposes of this problem only, the width is shorter than the length.)
The dimensions of the rectangle: length = 15 km and width = 11 km
Let l be the length of rectangle and w be the width of the rectangle.
A rectangle has perimeter 52 km
Using the formula of the perimeter of rectangle we get an equation,
2(l + w) = 52 ............(1)
And its area is 165 sq-km.
Using the formula of the area of rectangle we get an equation,
l * w = 165 ............(2)
From equation (1),
l = 26 - w
Subatitute above value of l in equation (2),
(26 - w) * w = 165
26w - w² = 165
w² - 26w + 165 = 0
(w - 15)(w - 11) = 0
w = 15 or w = 11
For w = 15,
l = 26 - 15
l = 11
For w = 11,
l = 26 - 11
l = 15
But as we know, the length of rectangle is always greater than the width,
l = 15 and w = 11 is true .
Therefore, the length of rectangle = 15 km and width of rectangle = 11 km
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Giselle’s father is 3 times as old as her. After 10 years his age will be 5 more than twice her age. Which equation can be used to find Giselle’s age?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The equation that can be used to find Giselle's age is
3x + 10 = 5 + 2 (x + 10)
Giselle's age is 15 years.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Giselle's age = x
Father age = 3x
Now,
After 10 years his age will be 5 more than twice her age.
This can be written as,
3x + 10 = 5 + 2 (x + 10)
Solve for x.
3x + 10 = 5 + 2x + 20
3x - 2x = 5 + 20 - 10
x = 15
Thus,
The equation that can be used to find Giselle's age is
3x + 10 = 5 + 2 (x + 10)
Giselle's age is 15 years.
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Evaluate the expression when x=3 and z=-6
Answer:wasd keys do be bussin
Step-by-step explanation:
cause it do be bussin
please help me asap plssss
Answer: 9
Step-by-step explanation: The number of sides that a regular polygon has can be determined by the measure of one of its exterior angles. A regular polygon is a polygon with sides of equal length and angles of equal measure.
The measure of one exterior angle of a regular polygon is equal to 360° divided by the number of sides of the polygon. Therefore, if one exterior angle of a regular polygon measures 40°, we can use the following equation to find the number of sides of the polygon:
exterior angle measure = 360° / number of sides
40° = 360° / number of sides
number of sides = 360° / 40°
number of sides = 9
Therefore, a regular polygon with one exterior angle measuring 40° has 9 sides.
USE MODELS Immediately after take-off, a jet plane consistently climbs 20 feet for every 40 feet it moves horizontally. The graph shows the trajectory of the jet.
The slope-intercept equation that represents the proportional relationship in this problem is given as follows:
y = 0.5x.
How to obtain the equation?The slope-intercept representation of a linear function is defined as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the rate of change of the function.b is the y-intercept of the function.A proportional relationship is a linear function with an intercept of zero, hence the equation is defined as follows:
y = mx.
The variables in this problem are given as follows:
Variable x: horizontal movement.Variable y: vertical movement.The plane consistently climbs 20 feet for every 40 feet it moves horizontally, hence the slope is obtained as follows:
m = 20/40
m = 0.5.
As the slope is given by the vertical movement divided by the horizontal movement, and hence the equation is given as follows:
y = 0.5x.
Missing InformationThe problem asks for the slope-intercept equation that represents the proportional relationship in this problem.
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question content area top part 1 in a fraternity with 36 members, 18 take mathematics, 5 take both mathematics and art history, and 8 take neither mathematics nor art history. how many take art history but not mathematics?
With the help of set relation and function the number of members taking art history but not mathematics is 12
what is set ?
Sets are collections of clearly defined objects, relations show the connections between the elements of two sets A and B, and functions are a special kind of relation where each element in A has exactly one relationship (or no more than one) with an element in B.
solution:
Total members (A + B + C + D)= 38
B + C = 18
C = 5
A = 8
Work from the end to the beginning:
A = 8
C = 5
B = 13 [from clues 3 and 2]
D = 12 [use clue 1 and above info]
Therefore, The member of taking art history but not mathematics D = 12
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In the figure below, points D, E, and F are the midpoints of the sides of ABC
Answer:
DF=28 AC=64 CF=32
Step-by-step explanation:
an inverted cylindrical cone, 44 ft deep and 22 ft across at the top, is being filled with water at a rate of 11 ft3/min. at what rate is the water rising in the tank when the depth of the water is:
The rate of the water rising in the tank when the depth of the water is 1 ft is 56.05 ft/min.
Explain the term rate of change?The term "rate of change" (ROC) describes the rate at which something changes over time.The rate of change of volume is-
dV/dt = 11 ft3/min.
Volume of cylindrical cone = (1/3)πr²h
As we're trying to find dh/dt, we need to calculate the volume within terms of just one variable, h.
Diameter = 22 ft
Thus, radius is 11 ft
By using height and radius of a water in the tank, we may calculate h using similar ratios.
11/44 = r/h
1/4 = r/h
r= h/4
Put into volume;
V = (1/3)π(h/4)h²
V = (1/3)(π)h³ / (16)
dV/dt = [(1/3)(3)(π)(h)² / 16](dh/dt)
V = [(π)(h)² / 16](dh/dt)
Solve for (dh/dt) ;
dh/dt = (dV/dt)(16) / [((π)(h)²]
Now, the change in volume is dV/dt = 11 ft³/min
dh/dt = (11 ft³/min)(16) / [((π)(h)²]
For h = 1 ft,
dh/dt = (11 ft³/min)(16) / [((π)(1 ft)²]
dh/dt ≈ 56.05 ft/min
Thus, the rate of the water rising in the tank when the depth of the water is 1 ft is 56.05 ft/min.
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At LaGuardia Airport for a certain nightly flight, the probability that it will rain is
0.14 and the probability that the flight will be delayed is 0.06. The probability that it
will not rain and the flight will leave on time is 0.82. What is the probability that it is
raining and the flight is delayed? Round your answer to the nearest thousandth.
Pass please! next question
now use the binomial probability formular, calculate the probability of observint 4 heads in 10 coin flips. (1pt) is the estimated probability from exercise 1 close to the true proability? (1pt)
By using Binomial distribution of probability, it can be calculated that
Probability of getting 4 heads in 10 coin flips = [tex]\frac{105}{512}[/tex]
What is Binomial distribution of probability?
Binomial distribution of probability is a discrete probability distribution where the probability mass function is given by
P(X = x) = [tex]{n \choose x}p^xq^{n - x}[/tex]
Where p is the probability of success and q is the probability of failure.
Here, Binomial distribution of probability is used
n = 10
Probability of getting a head = [tex]\frac{1}{2}[/tex]
Probability of getting a tail = [tex]\frac{1}{2}[/tex]
Probability of getting 4 heads in 10 coin flips = [tex]{10 \choose 4}(\frac{1}{2})^4(\frac{1}{2})^{10 - 4}[/tex]
= [tex]\frac{210}{1024}[/tex]
= [tex]\frac{105}{512}[/tex]
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