Answer:
Aaron rolled a fair six-sided number cube, numbered 1 through 6 is explained below in details.
Step-by-step explanation:
a. FALSE
Trial possibility of rolling a 6 =1/20 = 0.05
Logical possibility of rolling a 6 = 1/6 = 0.17(approximately.)
So the trial possibility of rolling a 6 is not equal to the logical possibility of rolling a 6.
b. FALSE
Trial possibility of rolling an even number = Trial possibility of rolling number 2,4 or 6 = 4/20+2/20+1/20= 7/20 = 0.35
Logical possibility of rolling an even number = 3/6 = 1/2=0.5
Therefore the Test possibility of rolling an even number is shorter than the logical possibility of the same.
c. TRUE
Trial possibility of rolling a 1= 6/20= 0.3
Logical possibility of rolling a 1= 1/6 = 0.17 (approx.)
So the Trial possibility of rolling a 1 is greater than the logical possibility of rolling a 1.
d. FALSE.
Trial possibility of rolling a 4= 2/20= 0.1
Logical possibility of rolling a 4 = 1/6 = 0.17 (approx.)
So the Trial possibility of rolling a 4 is less than the logical possibility of rolling a 4.
Estabon poured himself a hot beverage that had a temperature of 201 F then set it on the kitchen table to cool. The temperature of the kitchen was a constant 68F. If the drink cooled to 181F IN 4 minutes, how long will it take for the drink to cool to 104F?
Answer:
Fifteen minutes and twenty-four seconds.
Step-by-step explanation:
In four minutes, Estabon's drink cooled down 20 degrees (201 - 181 = 20). This means that the drink cooled down five degrees a minute. The drink must cool down 77 more degrees, (181 - 104 = 77). 77 divided by 5 is 15.4. 15.4 translated to seconds is 15 minutes and 24 seconds.
thx for helping me get smart and learing my math ava :D
Answer:
NICEE
Step-by-step explanation:
Solve me this please
X=33500+0,2Y
Y=26500+0,1X
Answer: X= 108125 and Y = 373125.
Step-by-step explanation:
Given system :
[tex]X= 33500+0.2Y (i)\\\\ Y=26500+0.1X (ii)[/tex]
Consider (ii)
[tex]Y=26500+0.1X\\\\\Rightarrow\ Y-0.1X=26500[/tex]
Multiply 10 on both sides , we get
[tex]10Y-X=265000 (iii)[/tex]
Add (i) and (iii)
[tex]10Y= 33500+26500+0.2Y\\\\\Rightarrow\ 10Y-0.2Y= 298500\\\\\Rightarrow\ 0.8Y= 298500\\\\\Rightarrrow\ Y=\dfrac{298500}{0.8}\\\\\Rightarrrow\ Y=373125[/tex]
Put this in (i)
[tex]X= 33500+0.2(373125) =108125[/tex]
Hence, X= 108125 and Y = 373125.
given the side lengths of 6, 13, and 20, determine whether the triangle is acute , right , obtuse, or not a triangle.
Answer:
Not a triangle.
Step-by-step explanation:
Sum of the two smaller sides must be greater than the largest side.
Which expression is equal to 1-12|- |-3|?
О-15
9
o 9
o 15
Answer:
15 i think 15 or 9 is the answer
The rate of change in sales S is inversely proportional to time t(t > 1) measured in weeks. Find S as a function of t if sates after 2 and 4 weeks are 200 units and 350 units respectively.
A. S(t) = 50 [3 ln t/ln2 +1]
B. S(t) = 550 [3 ln t/ln3 +150]
C. S(t) = 50 [3 ln t/ln2 +11]
D. S(t) = 50 [11 ln t/ln2 +1]
E. S(t) = 550 [ln t/ln3 +1]
Answer:
A. S(t) = 50 [3 ln t/ln2 +1]
Step-by-step explanation:
We are told that the rate of change in sales S is inversely proportional to time.
Thus;
dS/dt = k/t
Where k is the constant of proportionality.
So,
dS = (k/t)dt
Integrating both sides gives us;
S = (kIn t) + C
We are given that after 2 and 4 weeks are 200 units and 350 units respectively.
Thus;
S(2);
(k In 2) + C = 200 - - - (eq 1)
(k In 4) + C = 350 - - - -(eq 2)
To find k, let's subtract eq 1 from eq 2 to get;
(k In 4) - (k In 2) = 350 - 200
(k In 4) - (k In 2) = 150
k(In 4 - In 2) = 150
0.6931k = 150
k = 150/0.6931
k = 216.42
Plugging this for k in eq 1 gives;
(216.42 In 2) + C = 200
C = 200 - 150
C = 50
Thus;
S(t) = (216.42In t) + 50
Now 216.42 can also be expressed as;
150/In 2
Thus;
S(t) = ((150/In 2)In t) + 50
Factorizing out gives;
S(t) = 50 [(3 ln t/ln2) + 1]
Option A is the correct answer
Please help me soon
Water freezes at 32° Fahrenheit, which is 0° Celsius. Water boils at 212 Fahrenheit, which is 100 Celsius. Which temperature would be the best estimate for water at room temperature in Celsius
Answer:
20
Step-by-step explanation:
I don't really know how to explain this beyond either memorizing this or remembering that Fahrenheit is around 70 degrees and estimating it.
A scarce gem’s value increases exponentially at 4% per year. If one is worth $5200 this year, when will its value exceed $10000?
Answer:
92, Hope this helps
Step-by-step explanation:
10000-5200= 4800/52 = 92.307 rounded up = 92
At a sale, dresses were sold for $22 each. This price was 55% of a dress's original price. How much did a dress originally cost? Answer: Submit Answer attempt 1 out o Privacy Policy Terms of Service acer
Answer:
$9.90
Step-by-step explanation:
Simplify
x^2 + 3x + 2 over x+1
Answer:
x+2
Step-by-step explanation:
factor and you should get (x+2)(x+1)/(x+1) and then you cancel out the (x+1)
order the numbers from least to greatest -20 3/4 -14 3/4 -1/4 and -15 1/2
Answer:
-20 3/4, -15 1/2, -14 3/4,
Step-by-step explanation:
-4y-4+(-3) please help me! thank you
Answer: 1.75 = y
Explanation: In the picture linked
Hope this helps
Express as a fraction or a mixed number
1 1/2%
Answer:
5 and 1/2
Step-by-step explanation:
Find the exact values of the six trigonometric ratios of the angle in the triangle 160 and 164
Answer:
[tex]\sin \theta = \frac{40}{41}[/tex], [tex]\cos \theta = \frac{3}{82}[/tex], [tex]\tan \theta = \frac{80}{3}[/tex], [tex]\cot \theta = \frac{3}{80}[/tex], [tex]\sec \theta = \frac{82}{3}[/tex], [tex]\csc \theta = \frac{41}{40}[/tex]
Step-by-step explanation:
We notice that figure represents a right triangle, the hypotenuse has a length of 164 units and the leg opposite to [tex]\theta[/tex] has a length of 160 units. The sine of [tex]\theta[/tex] is:
[tex]\sin \theta = \frac{160}{164}[/tex]
[tex]\sin \theta = \frac{40}{41}[/tex]
The leg adjacent to [tex]\theta[/tex] is determine by the Pythagorean Theorem:
[tex]r = \sqrt{164^{2}-160^{2}}[/tex]
[tex]r = 6[/tex]
Then, the cosine of [tex]\theta[/tex] is:
[tex]\cos \theta = \frac{6}{164}[/tex]
[tex]\cos \theta = \frac{3}{82}[/tex]
Lastly, we determine the remaining trigonometric ratios by using these identities:
[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex] (1)
[tex]\cot \theta = \frac{1}{\tan \theta}[/tex] (2)
[tex]\sec \theta = \frac{1}{\cos \theta}[/tex] (3)
[tex]\csc \theta = \frac{1}{\sin \theta}[/tex] (4)
If we know that [tex]\sin \theta = \frac{40}{41}[/tex] and [tex]\cos \theta = \frac{3}{82}[/tex], then the trigonometric ratios are, respectively:
[tex]\tan \theta = \frac{\frac{40}{41} }{\frac{3}{82} }[/tex]
[tex]\tan \theta = \frac{80}{3}[/tex]
[tex]\cot \theta = \frac{1}{\frac{80}{3} }[/tex]
[tex]\cot \theta = \frac{3}{80}[/tex]
[tex]\sec \theta = \frac{1}{\frac{3}{82} }[/tex]
[tex]\sec \theta = \frac{82}{3}[/tex]
[tex]\csc \theta = \frac{1}{\frac{40}{41} }[/tex]
[tex]\csc \theta = \frac{41}{40}[/tex]
Express 0.2 as a fraction.
Answer:
1/5
Step-by-step explanation:
0.2 = 2/10
2/10 = 1/5
Answer:
0.2 = 1/5
Step-by-step explanation:
0.2
=
0.2 × 10
=
2/10
=
2 ÷ 2
10 ÷ 2
=
1/5
21. Transportation A youth group with 26 members is going skiing. Each of the five
chaperones will drive a van or sedan. The vans can seat seven people, and the
sedans can seat five people. Assuming there are no empty seats, how many of each
type of vehicle could transport all 31 people to the ski area in one trip?
Answers:
2 sedans and 3 vans
=====================================================
Work Shown:
s = number of sedans
v = number of vans
1 sedan = 5 seats
s sedans = 5s seats
1 van = 7 seats
v vans = 7v seats
5s+7v = all seats
5s+7v = 31
Let's go through all the values of s to see which values of v work.
If s = 0, then the equation turns into 7v = 31, but the solution for v isn't an integer.If s = 1, then the equation turns into 5+7v = 31 and that solves to v = 26/7 = 3.71 which also isn't an integerIf s = 2, then the equation becomes 10+7v = 31 and that solves to v = 3. So we found the answer. This means we need 2 sedans and 3 vans.As a check:
2 sedans = 5*2 = 10 seats
3 vans = 7*3 = 21 seats
10+21 = 31 seats total
This confirms the answer.
The number of vans used is three and the number of sedans is two
Let :
v represent the number of vans
s represent the number of sedans
The following equations can be gotten
7v + 5s = 31 equation 1
v + s = 5 equation 2
The elimination method would be used to solve for v and s
Multiply equation 2 by 7
7v + 7s = 35 equation 3
Subtract equation 1 from 3
2s = 4
s = 4/2
s = 2
Substitute for s in equation 2
v + 2 = 5
v = 5 - 2
v = 3
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
Reading and Writing Decimal Numbers through Ten Thousandths
A. Write each decimal in words.
1. 0.016
2. 0.0024
3. 0.0084
4. 26.0037
5. 9.368
Answer:
1. Sixteen thousandths 2.Twenty-four Ten-thousandths 3.Eighty-four Ten-thousandths 4. Twenty-six And Thirty-seven Ten-thousandths 5.Nine And Three hundred Sixty-eight Thousandths
Prove that x+1 is a factor of x^n+1 where n is an odd positive integer.
Answer:
because x^n+1 =
the number which is n and n is an odd number and my odd number is 3 so
x^3+1= 4
= x^4
Help me please and thank you
Answer:
ΔMXP, ΔXMP, ΔPMX
Step-by-step explanation:
A triangle has three sides and three points, so it can only be named using the three points, X, P and M.
Nadine's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Nadine's curtain company wants to make 52 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot
Three less than half of a number is - 1. Find the number.
Answer:
x = 4
Step-by-step explanation:
Three less than half of a number is -1
The Half Of A Number means the number can be anything, so we can use "x." However, it is half so it would become: 1/2x.
Three less than means it is minus three, therefore becomes: 1/2x-3
However, three less than half of a number is (or in other words is equal too) -1, so the overall equation is
1/2x - 3 = -1
first, add three on both sides to get:
1/2x = 2
multiply two on both sides to get:
x = 4
what is the quotient 2 1/5 over negative 1/10
Answer:
25
Step-by-step explanation:
Answer:
-22
Step-by-step explanation:
those 2 1/5 divided by 1/10 = -22
Which of the
the
following fractions is the largest
11/16 , 3/5 , 7/10 , 13/18
Answer:
11/16, 3/5, 7/10
Step-by-step explanation:
Joshua rents an apartment in an all-brick building in the city. The value of the
belongings in the apartment is about $25,000. If Joshua wants to insure his
belongings while renting, how much will he have to pay for insurance per
year?
Annual Premium per $100 of coverage
Brick
Steel
Mixed
Wood
Area
Building Contents Building Contents Building Contents Building Contents
rating
10.39 0.43 0.5
0.54
0.55 0.65 0.66 0.76
Suburb | 0.45 0.52 0.56 0.63 0.72 0.74 0.83 0.85
Rural 0.6 0.69 0.71 0.8 0.89 0.91 1
1.02
City
A. $107.50
B. $150.00
C. $173.50
D. S178.65
Answer:
107.5Step-by-step explanation:AOPED
Enter the number that belongs in the green box cd=
Answer:
9
Step-by-step explanation:
I think 9 since there’s a right angle, so there’s an assumed right angle on the other side of the line. 9 is the hypotenuse when AB is 3 so I think CD would also be 9 since BC is 3 as well.
Find the smallest positive four-digit number that is divisible by each of the four smallest prime numbers.
Answer:
It might be 1,050. Also can't believe thats a college question-
It was very easy to solve! Help from an 8th grader here.
Step-by-step explanation:
The smallest four-digit number that is divisible by each of the four smallest prime numbers is 1050.
What is the divisibility rule?The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.
The four smallest prime numbers are 2, 3, 5, and 7.
To find the smallest four-digit number that is divisible by each of these numbers, we can start by finding the least common multiple (LCM) of these numbers. The LCM of a set of numbers is the smallest number that is divisible by all of the numbers in the set.
To find the LCM of 2, 3, 5, and 7, we can start by listing the prime factorization of each number:
2 = 2 x 1
3 = 3 x 1
5 = 5 x 1
7 = 7 x 1
Then, we can find the LCM by taking the highest power of each prime that appears in any of the numbers:
LCM(2, 3, 5, 7) = 2¹ x 3¹ x 5¹ x 7¹ = 210
Since we want the "smallest 4-digit number", then it is:
210 x 5 =1050
Therefore, each of the four lowest prime numbers may be divisible by the smallest four-digit number, which is 1050.
Learn more about the divisibility rule here:
brainly.com/question/10703980
#SPJ2
How much simple interest would Kaitlin earn on $300 at 6% for 3 months?
A. 27
B. 9
C. 54
D. 18
Answer:
C) $54.00
Step-by-step explanation:
300*6%*3
300*0.06*3
which is $54.
Hope this helps plz hit the crown :D
What is the equation of parabola
Answer:
2
Step-by-step explanation:
Answer:
Step-by-step explanation:
so the equation of the parabola is (y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2.
Hamburger meat cost $3.68 pound. which equation best represent y, the total cost of x pounds of hamburger meat?
Answer:
Y=3.68x
Step-by-step explanation:
Answer:
Its should be y=$3.68(X)