Answer:
3/2
Step-by-step explanation:
3/2 is in the simplest form; it can't be decreased any more.
find the probability that a point chose a t random on the part of the number line shown will lie between points B and C. (anwser should be in a fraction or decimal)
The probability of point being in between B and C is 0.167
A probability definition is what?Probability is a statistic used to indicate the likelihood or potential that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.
What are examples and probability?The likelihood is based on the range of potential outcomes. the total number of possible outcomes. As an illustration, since there is only one way to get a head and a total of two possible results, the likelihood of flipping a coin and getting heads is one in two. a tail or a head.
Distance between B and C= 4 units
Total distance=24
Probability that point lie between B and C = 4/24 =1/6
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Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. What may be true
B. What must be true
C. None of these
D. What may be false
k
The correct option is B.Because when i use deduction and start from a given set of rules and condition is what must be true.If you analyze it to be true then it must be definitely true.
What is deduction in math?Deduction is a conclusion from something known or assumed. This is the type of reasoning we use in almost every step in a mathematical argument. For example to solve 2x = 6 for x we divide both sides by 2 to get 2x/2 = 6/2 or x = 3.
What is deduction rule in logic?In mathematical logic a deduction theorem is that justifies doing conditional proofs—to prove an implication A → B, assume A as an hypothesis and then proceed to derive B—in systems that do not have an explicit inference rule for this.
Now we able to know
Deduction is a term used to known as validated principle.This is when you analyze points through logic from a given set of rules and condition.
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5x6+78-12
help please
Answer:
96
Step-by-step explanation:
5 x 6 = 30
78 - 12 = 66
5 x 6 + 78 - 12
= 30 + 66
= 96
Answer:96
Step-by-step explanation:
Use the table to convert the following unit length as indicated. Choose the right answer.
1,000 yards to kilometers
1000 yards in kilometers will be 0.9 km.
The yard is a United States customary measurement. In this form of measurement, we have yards, feet, and inches.
1 Yard = 3 feet.
1 foot = 12 inches.
Here we are given 1000 yards,
1000 yards = 3 X 1000 feet
= 3000 feet
= 36000 inches.
Now, converting this to the metric measures we know that
1 inch = 2.5 cm
Hence, 36000 inches = 90000 cm.
1 cm = 1/100 m
Hence, 90000 cm = 90000/100 m
= 900 m
1 m = 1/1000 km
Hence, 900 m = 900/1000 km
= 0.9 km
Hence, 1000 yeard = 0.9 km.
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write days in May to days in a year as a ratio.
Answer:
Step-by-step explanation:
Days in may = 31
Days in a year = 365
therefore, expected ratio = 31/365
7•e^.1t =47 express the solution as a logarithmic in base e
Answer:
The value of t is 19.04
Step-by-step explanation:
[tex]7e^{0.1t} = 47\\[/tex]
[tex]e^{0.1t} = \frac{47}{7}[/tex]
take log both sides :
[tex]ln(e^{0.1t}) = ln(\frac{47}{7}) \\0.1t = 1.9042\\t = \frac{1.9042}{0.1}\\t = 19.04[/tex]
What is the solution of the system of equations y =- 2x 8 y x 4?
The solution of the system of equations y =0 x=4
To solve the system of equations, we must set the two equations equal to each other and solve for x.
y = -2x + 8
y = x - 4
We start by subtracting the second equation from the first equation.
-2x + 8 = (x - 4)
We then add 4 to both sides of the equation.
-2x + 12 = x
We then subtract 12 from both sides of the equation.
-3x = -12
Finally, we divide both sides of the equation by -3.
x = 4
Now that we have solved for x, we can substitute 6 for x in either equation and solve for y.
y = -2(4) + 8
y = -8 + 8
y = 0
Therefore, the solution of the system of equations is (4, 0).
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The complete question:What is the solution of the system of equations y= -2x + 8 and y = x - 4?
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.
If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?
2a+b=15.7 is the formula used to get the base's length and b has a value of 3.
What is an isosceles triangle?Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and Skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.
An isosceles triangle has 2 equal sides that are longer than the length of the base
perimiter=15.7
equation is 2a+b=15.7
so if the longer side is 6.3
we know that identical sides are bigger so 6.3 is one of the identical sides
2a means the 2 identical sides
2(6.3) + b = 15.7
12.6 + b = 15.7
subtract 12.6 from both sides
b = 3.1
therefore, The equation used to find the length of the base is 2a+b=15.7
and the value of b is 3.1
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Answer:
12.6 + b = 15.7
A reading teacher recorded the number of pages read in an hour by each of her
students. The numbers are shown below.
44, 49, 39, 43, 50, 44, 45, 49, 51
For this data, which summary statistic is NOT correct?
1.The minimum is 39.
2.The median is 45.
3.The lower quartile is 44.
4.The maximum is 51.
Find the x value of x. If necessary round to the nearest tenth. A=49sq.in.
Answer:
[tex]9.9 ~in[/tex] ✔︎
Step-by-step explanation:
[tex]A=1/2 ~ base * height[/tex]
[tex]49=1/2(x)(c)[/tex]
[tex]98=x^2[/tex]
[tex]x=\sqrt{98}[/tex]
[tex]x=7\sqrt{2}[/tex]
[tex]x=9.9[/tex]
༄❁༄❁༄❁༄❁༄
hope it helps...
have a great day!!
A loan of $9,000 has an annual simple interest rate of 3.5%. What would be the simple interest rate if a loan of $9,000 that is repaid in 6 years has a total cost of $11,052?
Answer: 3.8%
Step-by-step explanation:
First find the interest cost:
= Amount repaid - Amount borrowed
= 11,052 - 9,000
= $2,052
This cost is the simple interest and because it is the same figure per year, the annual simple interest can be determined by dividing the above by the number of years:
= 2,052 / 6
= $342
Now that we have the simple interest amount, divide it by the amount borrowed to find the rate:
= 342 / 9,000
= 3.8%
What are the top 5 formulas in math?
According to the use and the fundamental knowledge behind these formulas, The top 5 formulas in mathematics are quadratic, Pythagorean , slope-intercept , exponential and Euler's Formula.
What is mathematics?Mathematics is the study of numbers, shapes, and patterns. It is the science of studying the properties and relationships of quantities and shapes using logic, symbols and mathematical operations. It is a way of understanding the world and solving problems using quantitative reasoning.
What do you mean by formula?A mathematical formula is a set of symbols, numbers and mathematical operations that express a relationship or equation. These formulas are used to model, describe and explain phenomena in the natural and physical world, as well as in abstract mathematical theories. Formulas can take many forms, including equations, identities, and inequalities. They allow us to make predictions and calculations, and can be used in various fields of science, engineering and other fields to solve problems.
1. root of [tex]ax^2+bx+c[/tex] is [tex]x= \frac {-b+- \sqrt{b^2-4ac}}{2a}[/tex].
2.[tex]h^2 = p^2 +b^2[/tex]
3. [tex]y =mx+c[/tex]
4.[tex]e^x[/tex]
5.[tex]e^{ix} = cosx+isinx[/tex]
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giving 100 pts/ brainliest!! please help this is due in 20 minutes
Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
What is the system that models this situation?
Which of the following is a solution to the system: 2 lb peanuts and 3 lb mixture; 2.5 lb peanuts and 2.5 lb mixture; 4 lb peanuts and 1 lb mixture? Show your work.
Answer:
p + m = 5, p + 0.2m = 0.6(5)2.5 lb peanuts; 2.5 lb almond mixStep-by-step explanation:
You have peanuts and an 80-20 almond-peanut mix, and you want to know how many pound of each are needed for 5 lb of a 60% peanut mix.
System of equationsThe system of equations relating the pounds of peanuts (p) and the pounds of almond mix (m) will describe the total mixture weight, and the weight of the peanuts.
p + m = 5 . . . . . . total mixture weight is 5 lb
p + 0.20m = 0.60(5) . . . . . weight of peanuts in the 60% peanut mix
SolutionWe can subtract the second equation from the first to eliminate the variable p:
(p +m) -(p +.2m) = (5) -(.6)(5)
0.8m = 0.4(5) . . . simplify
m = 2.5 . . . . . . . . divide by 0.8
p = 5 -m = 2.5
The solution to the system is 2.5 lb peanuts and 2.5 lb mixture.
At the candy store, Julie found a special scale that would measure the number of pounds, p, of candy and then calculate the cost, c, when you typed in the name of the candy. For her favorite candy, chocolate gummy bears, she wrote this table.
p c
0.25 1.69
0.45 3.04
0.75 5.06
1.25 11.81
Choose all of the following statements that are true.
Select one or more:
a.
A reasonable domain is [-1, 100]
b.
A reasonable domain is (0, 50] .
c.
c = 6.75p
d.
none of these
e.
A reasonable range is [0, 20].
The true statement about the function in the list of options is (d) none of these
How to determine the true statements in the list of optionsFrom the question, we have the following parameters that can be used in our computation:
p c
0.25 1.69
0.45 3.04
0.75 5.06
1.25 11.81
Where
the number of pounds of candy = p the cost of candy = cThe values in the p column represent the domain
In this case, the domain is
Domain = [0.25, 1.25]
The values in the c column represent the range
In this case, the range is
Range = [1.69, 11.81]
This means that the options (a), (b) and (e) are false
For option (c), we have
c = 6.75p
This means that
c = 6.75 * 0.25 = 1.69
c = 6.75 * 0.45 = 3.04
c = 6.75 * 0.75 = 5.06
c = 6.75 * 1.25 = 8.43 -- false
This means that the option (d) is false
Hence, none of the options is true
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3.
Which expression is equivalent to 0?
A. O a+(-a)
B.O a-(-a)
C. (a)(-a)
D.
can someone please help with this question i’ve been stuck on it for an hour thanks
Answer:
110° and 215°
Step-by-step explanation:
to measure the bearing from one point to another
the bearing is measured clockwise from a north line.
(a)
clockwise from the north line N at C to D is 110°
(b)
clockwise from the north line N at C to D is 215°
A storm that moved through several states at a speed of 60 miles per hour affected 219 miles of land. What did that make the storm
The longest tornado ever recorded spanned 219 miles of land as it swept through many states at a pace of 60 miles per hour.
What are the importance of vector calculus?A tornado could cause a natural disaster to wreak havoc in significant geographic areas.A violent column of air between a thunderstorm and the earth is what is known as a tornado.In severe tornadoes, winds exceeding 200 miles per hour (h) are not uncommon.In conclusion, the longest tornado ever recorded affected 219 miles of land as it swept through many states at a speed of 60 miles per hour.Mathematically, a tornado is vector calculus with a fury. Severe storms are the result of the interaction of the two scalar forces of pressure and humidity with the vector field known as wind.To learn more about tornado, refer to:
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Three workers are digging a hole. They work one by one, and every single of them works exactly
the amount of time it would have taken the other two to complete the digging of the entire hole.
They finish digging the hole by taking one turn each. How many times faster would they have
digged the hole if they worked together?
(A) 2.5 (B) 3 (C) 3.5 (D) 4 (E) 5
The work would be finished 3 times faster if they had been doing the work at the same time. The correct option is B.
Rate of doing workAssumption;
Provided each one of the workers works for an hour which is equivalent to the time it takes to finish the hole.
In essence, the total time required to finish the ditch by 2 workers is; 2 hours.
Hence, for 3 workers working simultaneously, the time required is
1hour = 60 minutes
However, since they took 1 hour turns on the job, it follows that; The total time used is;
Total time = 3 × 1hr = 3 hours = 180 hours
Hence they could have finished the work in;
R = 180/60 times faster =3 times faster.
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Sarah and Bryan went shopping and spent a total of $47.50. Bryan spent $15.50 less than Sarah spent. How much did Bryan spend?
Voxguxihxjcib iBuick oh oh big ugxjgxkhc
HCRJCMMJNHNSG
Have a good day- look at this image <3
Which is a possible benefit of having a good credit history?
Answer:
When you have a good credit score, you're more likely to meet lending approval guidelines and borrow money when you need it most, explains McClary. This can help if you're ever in a pinch and need to open a credit card. You're more likely to qualify for a 0% APR card like the Citi Simplicity® Card.
Select all that are equivalent to sin∠GFH
A. Sin∠GEJ
B. Sin∠EGJ
C. Cos∠FGH
D. Cos∠GEJ
E. Cos∠GFH
F. Tan∠GEJ
All that is the equivalent angle to the given angle sin∠GFH is cos∠GEJ.
Corresponding angles are those angles which are created in the matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).
From the image, we get JE and HF are parallel.
So ∠GFH and ∠GEJ are corresponding angles. That means they are equal.
⇒sin(∠GFH) = sin(∠GEJ).
From triangle GFH, ∠GFH + ∠FGH = 90.
⇒sin(∠GFH) = cos(∠FGH).
Again ∠FGH = ∠EGJ.
⇒sin(∠GFH) = cos(∠EGJ)
All that is equivalent to sin∠GFH is cos(∠EGJ).
Thus, the correct answer is D.
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What is the value of the expression below if
x = -5, h = -5, and y = -3.
3-h(x+4)-2y
Answer:
4
Step-by-step explanation:
3 - h(x + 4) -2y Substitute in what was given.
3 -(-5)(-5+4)-2(-3)
3 + 5(-1) + 6
3-5+6
-2+6
4
Answer:
3-(-5)(-5+4)-2(-3)
3+5(-1)+6
3-5+6
-2+6
4
What is the first month in which the board will see the cumulative total number of cars shipped to Japan exceeded the cumulative total in Vietnam
The cumulative total in Vietnam j(n) is 23(n-1),cumulative takes into account all data up to the present. In month four, j(n) will be worth more than v(n).
Is the sum the same as the total?The distinction between total and cumulative is that total refers to the entirety of something, whereas cumulative takes into account all data up to the present.
When a new number is added to a series of numbers, the running total is updated by adding the new number's value to the previous running total. Partially sum is another name for it. Running totals serve two distinct objectives.
We take it for granted that you mean that vehicles delivered to Vietnam should be modeled by v(n) = 5 + 11 and those sent to Japan by j(n) = 23(n-1).
In month four, j(n) will be worth more than v(n).
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solve for y
1/8y-2/3=5.5
Answer:
y = 49 1/3
Step-by-step explanation:
1/8y-2/3=5.5
1/8y = 5.5 + 2/3
multiply both sides by 8:
y = 8(5.5 + 2/3) = 44 + 16/3 = 44 + 5 1/3 = 49 1/3
A cylinder has a volume of 105 cubic centimeters. What is the volume of a cone with the same base and height?
315 am
210 cm
70 cm
35 cm
Answer:
35 cu cm
Step-by-step explanation:
Volume is 1/3 the volume of the cylinder. So, (1/3)(105) = 35 cu cm
The bill is 42 dollars, taxes is 9%, and the tip given is 18%. What's the Total?
The total cost of the bill that sells for $42 is $54.0204
How to determine the total cost of the bill?From the question, we have the following parameters that can be used in our computation:
Cost of the bill = $42
Sales tax = 9%
Tip = 18%
The total cost of the bill that sells for $42 is then calculated as
Total cost = Selling price * (1 + Sales tax) * (1 + tip)
Substitute the known values in the above equation, so, we have the following representation
Total cost = 42 * (1 + 9%) * (1 + 18%)
Evaluate
Total cost = $54.0204
Hence, the total cost is $54.0204
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NO LINKS PLEASE!!!
I need help with this.
9514 1404 393
Answer:
result = 0 + 2 - 4
Step-by-step explanation:
The leftmost arrow starts at 0 and goes 2 units in the + direction. The right arrow starts from there and goes 4 units in the - direction.
The left arrow represents adding 2 units to 0. The right arrow represents adding -4 units to +2, or subtracting 4 units from +2. The equation could be written as ...
result = 0 +2 -4
result = 0 +2 +(-4)
__
Additional comment
There are additional ways to write this in consideration of the fact that +2 = -(-2). The 0 doesn't need to be part of the equation. It is put here to indicate the fact that we start from 0. Without it, the "starting from 0" is implied.
Is the Z or Y axis vertical?
Answer:
yes!
Step-by-step explanation:
the y axis vertical, and the x axis is horizontal!
Jeremy is going on rides at a carnival he starts the rides a 12:30 by 12:45 he had gone on 1/5 of the carnival rides at the rate how many hours will it take him to go on all the rides at the carnival
PLS answer i need it fast!
Answer:
1.25 hours or 1 hour and 15 minutes
Step-by-step explanation:
12:45 - 12:30 = :15
15 minutes equates to 1/5 of the rides
So, we multiply 15 by 5 to find the total time taken to ride all the rides.
15 x 5 = 75
75/60 = 1.25
It would take him 1.25 hours to ride all the rides at the carnival or 1 hour and 15 minutes.