4:21 are the odds against exactly 55 cars passing over the bridge in that time.
What is Probability?
The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. P(E) = Number of Favorable Outcomes/Number of Total Outcomes is the formula for probability.Probability is the branch of mathematics concerning the occurrence of a random event, and four main types of probability exist: classical, empirical, subjective and axiomatic.Probability of 0.16, thus, for 100 trials, 16 successes and 84 failures, and the odd is:
16:84, which, simplifying by 4, is 4:21.
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Create a very long sentence with at least four phrases using only three propositions. identify the propositions and create logic sentences.
(q ∨ (¬r ∧ ¬q)) → ¬p is the propositions and create logic sentences.
What is propositions ?
An axiom is a mathematical assertion that is predicated on a proposition, such as "3 is greater than 4," "an infinite set exists," or "7 is prime."
If you are more than 18 years old or if you are above 18 but lack identification proving your age, you are not permitted to to watch cartoon.
Prepositions -
p = You are allowed to watch cartoon.
q = your age is more than 18 years old
r = you have age proof
(q ∨ (¬r ∧ ¬q)) → ¬p
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What is the perimeter of the triangle
The perimeter of the triangle is 40 units
Perimeter of a triangleFrom the question, we are to determine the perimeter of the given triangle
From the given diagram, we can observe that the triangle is a right triangle
The vertical length of the triangle is 15 units
and the horizontal length of the triangle is 8 units
Thus,
We can find the hypotenuse by using the Pythagorean theorem
Let the hypotenuse be h
Then,
h² = 15² + 8²
h² = 225 + 64
h² = 289
h = √289
h = 17 units
Now, for the perimeter of the triangle
The perimeter of a triangle is the sum of all its three sides
Thus,
The perimeter. P, of the triangle is
P = 15 + 8 + 17
P = 40 units
Hence, the perimeter of the triangle is 40 units
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Jamal loves his dog, Rupert. On sunny days, Jamal keeps Rupert on a 12-foot leash
in the backyard. He secures the leash to a stake in the ground.
> Answer each question and use 3.14 for T.
1 Determine the diameter, circumference, and area of Rupert's play area.
Diameter = 24 foot, circumference = 75.36 foot, Area = 452.16 square foot
As the leash is 12 feet, and dog Rupert will form a circle in the backyard.
As the leash is of 12 feet, so it is the radius(r) of the circle.
Diameter = 2r
= 2×12
= 24 foot
Circumference = 2πr
=2×3.14×12
= 75.36 foot
Area of the circle = π[tex]r^{2}[/tex]
= 3.14×[tex]12^{2}[/tex]
=3.14 × 144
= 452.16 [tex]foot^{2}[/tex]
Therefore we get diameter = 24foot, circumference = 75.36 foot and area = 452.16 square foot.
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Help, Theres a time limit!
Answer:
The answer is 2.72 * 10^8 sec.
Step-by-step explanation:
Distance between Earth and Sirius is 5.062 * 10^13 miles.
Time taken = Distance travelled/speed
5.062*10^13 miles/sec/1.86*10^5 miles.
=2.72 * 10^8 sec.
So this means that the time taken to travel light from Sirius to Earth is 2.72*10^8.
what is difference between fraction and rationals
Answer:
fraction is any number of the form a/b where both a,b are whole numbers
rational number is which is in the form of p/q where people q are integers.mark me brainlist thank you!
letter j, i need help i don’t really understand it doesn’t explain good enough
Answer:
3/5 < 3/4 (The symbol you need is <.)
Step-by-step explanation:
The problem is asking you to compare the fractions 3/5 and 3/4. You need to supply a comparison symbol, one of {<, =, >}.
Comparing valuesIn general, when you are asked to compare two values, you are being asked which one is greater (or smaller). Sometimes, you are being asked for the amount by which one is greater than the other (their difference), and sometimes you are being asked for the factor by which one is greater than the other (their ratio).
You can do the arithmetic to find the appropriate difference or ratio, or you can use your number sense to identify the larger (or smaller) number.
FractionsAs you know, the denominator of a fraction tells you how many pieces the pie has been divided into.
In the fraction 3/5, the 5 tells you each piece is 1/5 of the whole, that there are 5 equal pieces.
In the fraction 3/4, the 4 tells you each piece is 1/4 of the whole, that there are 4 equal pieces.
A pie divided into 5 pieces instead of 4 has smaller pieces. That is ...
1/5 < 1/4
When there are 3 pieces of each, this relation still holds:
3×(1/5) < 3×(1/4) ⇒ 3/5 < 3/4
__
Additional comment
Here, the numerators are the same, so we only need to compare the denominators to find the relationship. If the denominators are the same, we can compare the numerators.
If neither is the same, it is often useful to multiply one or the other or both of the fractions by some value so they will have a common numerator or denominator. The usual recommendation is to give the fractions a common denominator.
Here, the denominators can be made to be 20 in each case.
[tex]\dfrac{3}{5}=\dfrac{3}{5}\cdot\dfrac{4}{4}=\dfrac{12}{20}\\\\\dfrac{3}{4}=\dfrac{3}{4}\cdot\dfrac{5}{5}=\dfrac{15}{20}[/tex]
The denominators are now the same, so we can compare values by comparing the numerators. 12 < 15, so 12/20 < 15/20 and 3/5 < 3/4.
What should be added to -7/12 to get 9/16
Answer:
1/48 should be added.
Step-by-step explanation:
If you add 9/16 to -7/12 you will get -1/48. Then do -7/12 + 1/48 and it will give you 9/16.
At a fish fry fundraiser, the math club raised $277.50. child plates were sold for $2.25 and adult plates were sold for $4.75. if there were twice as many child plates sold than adult plates, how many adult plates were sold?
The number of adult plates sold are 30.
It is given in the question that:-
Total money raised by math club = $277.50
Cost of a child plate = $2.25
Cost of an adult plate = $4.75
There are twice as many child plates sold than adult plates.
Let the number of adult plates be x.
Hence, according to the question,
Number of child plates = 2x
Using this data, we can form a linear equation,
2.25*2x + 4.75*x = 277.50
4.50x + 4.75x = 277.50
9.25x = 277.50
x = 277.50/9.25
x = 30
Hence, the number of adult plates sold are 30.
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An equilateral triangle is inscribed in a circle of radius 2r. express the area a within the circle but outside the triangle as a function of the length 3x of the side of the triangle.
The expression for the area within the circle but outside the triangle as a function of the length 3x of the side of the triangle is [tex]\frac{88r^2}{7}-\frac{9\sqrt{3} }{2}x^2[/tex].
It is given that:-
Radius of circle = 2r
Length of side of equilateral triangle = 3x
We have to find the expression for the area within the circle but outside the triangle as a function of the length 3x of the side of the triangle.
We know that,
Area of circle = [tex]\pi R^2[/tex]
Where R is the radius of the circle.
We have R = 2r
Area of an equilateral triangle = [tex]\frac{\sqrt{3} }{2}a^2[/tex]
Where, a is the length of side of equilateral triangle.
a = 3x
Hence,
Expression = [tex]\pi R^2-\frac{\sqrt{3} }{2}a^2[/tex]
Expression = [tex]\frac{22}{7}*(2r)^2-\frac{\sqrt{3} }{2}*(3x)^2 = \frac{88r^2}{7}-\frac{9\sqrt{3} }{2}x^2[/tex].
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answer this question
Answer:
[tex]g(x)=|x+8|-2[/tex]
Step-by-step explanation:
The vertex is at (-8, 2), so g(x)=a|x+8|+2.
Considering g(-6),
[tex]g(-6)=4=a|-6+8|+2 \\ \\ 2=2a \\ \\ a=1 \\ \\ \therefore g(x)=|x+8|-2[/tex]
The sum of 4 consecutive odd integers is -24. What are they?
Step-by-step explanation:
4 consecutive odd integers means we start with x, then have x+2, x+4 and then x+6.
and then we have
-24 = x + x+2 + x+4 + x+6 = 4x + 12
4x = -36
x = -9
x+2 = -7
x+4 = -5
x+6 = -3
so, in sequence from small to large these 4 numbers are
-9, -7, -5, -3
What is 7 greater than 15 multiplied by 2?
After solving we get that 7 greater than 15 multiplied by 2 is indeed 37.
Follow the PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) sequence of operations to solve this problem:
1. Begin by performing a multiplication operation: 2 times 15 results in 30.
2. To get the answer to the multiplication, add 7: 30 + 7 = 37.
Therefore, multiplying 7 by 2 and adding 15 is equivalent to 37.
The steps are broken down as follows:
Step 1: 15 × 2 = 30
Step 2: 30 + 7 = 37
The answer is 37 since 7 is more than 15 when multiplied by 2.
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PLEASE DUE TODAY!! Which remarkable thing was made bye the Mound Builders? (A) boat canals (B) buffalo traps
(C) large cities (D) coastal towers (BTW will give 20 points and brainly)
The remarkable thing that was made by the Mound Builders is (C) large cities
How to illustrate the information?In the Ohio River Valley, Native American tribes constructed mounds and enclosures for burial, religious, and even defense purposes. For dramatic effect, they frequently constructed their mounds on or near tall cliffs or bluffs, as well as in rich river valleys.
Mound Builders were not one particular group of people; rather, they were pre-Columbian tribal groups that erected massive earthen constructions known as mounds throughout North America. These mounds were used as houses, burial grounds, and ceremonial hubs, among other things.
In conclusion, the remarkable thing that was made by the Mound Builders is large cities.
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Ronald wants to rent a car to take a trip and has a budget of $60. there is a fixed rental fee of $25 and a daily fee of $5. write an inequality that would be used to solve for the maximum number of days for which ronald can rent the car on his budget. 25 5x ≤ 60 25 5x ≥ 60 25x 5 ≤ 60 25x 5 ≥ 60
Answer:
60>x>25
Step-by-step explanation:
What type of variable is the number of customers in line at the bank in a 24 hour period? qualitative continuous attribute discrete
The number of customers waiting in line at the bank over a 24-hour period is a discrete variable type.
By discrete variable, what do you mean?A variable whose value is determined by counting is referred to as a discrete variable. examples: the number of pupils in attendance. how many red marbles are in the container. when triple coins are turned, the count of heads. The number of pupils, kids, the shoe size, and so forth are some typical examples of discrete data. A statistical variable is referred to as a discrete variable if it presupposes a finite collection of data and a countable number of values. Contrarily, a continuous variable is a quantitative variable that accepts an endless quantity of data and an uncountable number of values.
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(Please answer! :) )
Answer:
ok
Step-by-step explanation:
Given m|n, find the value of x.
Answer:
127°
Step-by-step explanation:
The angle that's represented with x and the angle with the measure 127 are alternate exterior angles because line m and line n are parallel.
And alternate angles has equal measures so if one is 127 then so is the other.
Therefore the value of x = 127
-3x+29=17 would it be 3 , 4 5 6 7 8 9
Answer:
x=4
Step-by-step explanation:
[tex]-3x+29-29=17-29 < - Subtract[/tex]
[tex]-3x=-12[/tex]
[tex]\frac{-3x}{-3}=\frac{-12}{-3} < - Divide[/tex]
[tex]x=4[/tex]
f(-6)=3(3-2x). What is the evaluating function?
Step-by-step explanation:
or,(-6)=3(3-2x)
or,(-6)=9-6x
or,-6-9=-6x
or,-15=-6x
or,-15+6=x
or,-9=x
x=-9
- The coordinate -5 has a weight of 3 and the coordinate 3 has a weight of 1. Find
the weighted average. Use the formula: WA = Sum of the Weighted Values
Sum of the Weights
Answers:
The weighted average of the given coordinates weights is; 3
What is the Weighted Average?
We are given that;
Coordinate of -5 has a weight of 3
Coordinate of 3 has a weight of 1
Now, we are given the formula to calculate the weighted average as;
WA = Sum of the Weighted Values/Sum of the Weights
Thus;
WA = ((-5 * 3) + (3 * 1))/(3 + 1)
WA = (-15 + 3)/4
WA = -12/4
WA = -3
We will take the absolute value which is; WA = 3
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Orville is thinking of a number. The product of the number and 39 is 156. Find Orville's number. 46
Answer:
I believe the multiplied number would be 4.
39 × 4 = 156
The number is = 4
Step-by-step explanation:
I'm not sure what is 46 at the end of the question.
Evaluate f(x) = -2x + 5 when x = 8
round the following numbers to the nearest ten thousands: 1. 57,342 2. 76,564 3. 95,634 4. 85,756 5. 63,526
Answer:
1. 60,000
2. 80,000
3. 100,000
4. 90,000
5. 60,000
Step-by-step explanation:
Remember if the thousands digit is 5 or greater, round up, if the thousands digit is 4 or less, round down.
57342 (up) 76564 (up) 95634 (up) 85756 (up) 63526 (down)
Ms. Jordan bought a box of 32 granola bars. Every day each of her three children ate one granola bar for lunch. Now there are only 11 bars left. Which equation can be used to find the number of days, n, that the children ate the bars for lunch? 32 = -11 32 = 3n - 11 32 = +11 O 32 3n+ 11
The calculation for calculating the number of days the youngsters ate the bars for lunch is 11 = 32 - 3x.
What exactly does it mean to "solve an equation"?An equation is a mathematical expression that represents the equivalence of two or more mathematical expressions.
When someone asks you to solve an equation, they typically want to determine the unknown values for which the equation is true (the equality between expressions should hold true for those values).
An equation's solutions are the values of the variables involved in the equation for which the equation holds true.
Given that Ms Jordan purchases a box of 32 granola bars every day, each of her three children consumes one granola bar for lunch, there are only 11 bars remaining.
The algorithm for calculating the number of days the youngsters ate the bars for lunch;
11 = 32 - 3x
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whats the answer for 5x5/2
The volume of the cone is 96 cm^3 and the radius is 6 cm. What is the height of the cone?
If the volume of the cone is 96 cm^3 and the radius is 6 cm then the height of the cone is equal to 2.55 cm.
The height of the cone can be defined as the extent of the altitude of the cone. The height of a cone can be determined using its volume and radius values. The formula for the volume of a cone can be given as:
V= πr²h/3
Here, V is the volume of the cone, r is the radius of the cone and h is the height.
This equation can be rearranged to find the value of height as follows,
h=3V/πr²
Now, add the given values to the equation,
h= 3(96)/π(6²)
h= 288/π(36)
As π = 3.14
h= 288/3.14(36)
h= 288/ 113.04
h= 2.55 cm
Thus, the height of the cone is calculated to be 2.55 cm.
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PLS ASAP AND TY IF U ANSWERED
Answer:
3.5 un
Step-by-step explanation:
to find the new length of the square using a scale factor of 1/7 you can just multiply 24.5 by 1/7
this is basically dividing 24.5 by 7
24.5 / 7 = 3.5
that is your answer
What is the equation in slope-intercept form of the line that passes through the points (12, -34) and (10, -28)?
Answer:
[tex]y=-2x+2[/tex]
Step-by-step explanation:
1) Determine Slope
[tex]\frac{y_2-y_1}{x_2-x1}[/tex] = [tex]\frac{-28-(-34)}{10-12}[/tex] = [tex]\frac{6}{-2}[/tex] = -3
2) Use point slope form to create equation
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-28)=-3(x-10)[/tex]
[tex]y+28=-2x+30[/tex]
[tex]y=-2x+2[/tex]
which of the following is equivalent to 5x-x+3x=30
In linear equation , 7x=30 is equivalent to 5x-x+3x=30.
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.5x -x + 3x =30, first you combine like terms 5x + 3x-x=30
8x-x =30
7x=30
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descartes earns $5 for each lawn that he mows. the mows 7 lawns . he spends $20 on a video game. how much money does he have left??????
Answer:
he has $15 left
Step-by-step explanation:
$5 for each lawn
$5 * 7 lawns = $35
$20 on a video game
$35 - $20 = $15