Answers
1) If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is [tex]\frac{1}{6}[/tex].
If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex].
Here are two more examples:If a coin is flipped twice, determine the probability that it will land heads both times:
Favorable outcomes: 1 -- HH
Possible outcomes: 4 -- HH, HT, TH, TT
Thus, the probability that the coin will land heads both times is [tex]\frac{1}{4}[/tex].
If Dan grabs one sock from a drawer containing 3 white socks, 4 blue socks, and 5 yellow socks, what is the probability that he will grab a white sock?
Favorable outcomes: 3 (3 white socks)
Possible outcomes: 12 (3 white socks + 4 blue socks + 5 yellow socks)
Thus, the probability that Dan will grab a white sock is [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex].
Related Questions
please help!!!
find the median, first quartile, third quartile, and interquartile range of the data.
12, 31, 9, 20, 36, 5, 22
and
63, 68, 58, 77, 50, 49, 63, 73
Answers
Answer:
Part 1) 12, 31, 9, 20, 36, 5, 22
Sort the data:
5, 9, 12, 20, 22, 31, 36
Median: 20
First Quartile: 9
Third Quartile: 31
IQR: 31 - 9 = 22
and
Part 2) 63, 68, 58, 77, 50, 49, 63, 73
Sort the data:
49, 50, 58, 63, 63, 68, 73, 77
Median: (63÷63)/2 = 63
First Quartile: (50+58)/2 = 54
Third Quartile: (68+73)/2 = 70.5
IQR: 70.5 - 54 = 16.5
Use the compound interest formulas to solve. A = P(1 + r/n)nt and A = Pert Suppose you have $3000 to invest. Which investment yields the greater return over 10 years: Account 1: 6.5% compounded semiannually? Account 2: 6% compounded continuously? The account with the better investment is Account which yields dollars more after 10 years.
Answers
Answer:
Account 1 yields greater return.
Step-by-step explanation:
Lets solve for the first formula:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
First, change 6.5% into a decimal:
6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065
Now, plug in the values for Account 1:
[tex]A=3,000(1+\frac{0.065}{2})^{2(10)}[/tex]
[tex]A=5,687.51[/tex]
Now solve for Account 2:
Change 6% into a decimal:
6% -> [tex]\frac{6}{100}[/tex] -> 0.06
Now plug in the values:
[tex]A=3,000e^{0.06(10)}[/tex]
[tex]A=5,466.36[/tex]
Account 1 yields better money after 10 years.
What is 3y^2 - 15y equal?
Answers
Answer:
3y(y−5)
Step-by-step explanation:
I factored the expression
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Harold wants to put decorative tape around the side of a cube box with a volume of V.which expression gives the length of the tape
Answers
Answer:
Length of the tape = Length of the side of the Cube = ³√ V
Step-by-step explanation:
The Volume of a cube box = s³
Where s = length of the side of a cube.
The units of a cube is given as cubic units.
From the question, we were told, a decorative tape was placed at the side of the cube.
Since the volume of a cube is designated as V,
The length of the tape is equivalent to the side of a cube.
Therefore, Since V = s³
Length of the tape = Length of the side of the cube is derived as :
V = s³
Find the cubic root of both side
³√ V = ³√ s³
s = ³√V
Therefore the Length of the tape = Cubic root of the Volume of the cube and it is expressed mathematically as :
s = ³√V
Answer:
4[tex]\sqrt[3]{V}[/tex]
Step-by-step explanation:
This is the correct answer off imagine math
if a quadrilateral is a square then is it a rectangle
Answers
Answer:
Yes it is.
Step-by-step explanation:
I did some research, plus we learned about this in Geometry
Plz click the Thanks button!
<Jayla>
The probability of rolling a multiple of 3 on a standard number cube is 1/3.
Is that true or false?
Answers
Answer:
its true
Step-by-step explanation:
3 and 6 are are the multiples of three on a standard number cube 2 numbers out of six are multiples so 2/6 2/6 reduced is 1/3
Which two expressions can be used to answer this question? 45% of the 647 students at Royal Oak High attended the football game. How many students did not attend?
Answers
Answer:
356
Step-by-step explanation:
.55*647=356
In ΔJKL, k = 22 cm, ∠L=23° and ∠J=26°. Find the length of j, to the nearest 10th of a centimeter.
Answers
We have been given that in ΔJKL, k = 22 cm, ∠L=23° and ∠J=26°. We are asked to find the length of j to the nearest tenth of a centimeter.
We will use law of sines to solve for side j.
[tex]\frac{a}{\text{sin}(A)}=\frac{b}{\text{sin}(B)}=\frac{c}{\text{sin}(C)}[/tex], where, a, b and c are opposite sides to angles A, B and C respectively.
We need to find measure of angle K to apply law of sine to our given problem.
Using angle sum property, we will get:
[tex]\angle J+\angle K+\angle L=180^{\circ}[/tex]
[tex]26^{\circ}+\angle K+23^{\circ}=180^{\circ}[/tex]
[tex]\angle K+49^{\circ}=180^{\circ}[/tex]
[tex]\angle K+49^{\circ}-49^{\circ}=180^{\circ}-49^{\circ}[/tex]
[tex]\angle K=131^{\circ}[/tex]
[tex]\frac{j}{\text{sin}(J)}=\frac{k}{\text{sin}(K)}[/tex]
[tex]\frac{j}{\text{sin}(26^{\circ})}=\frac{22}{\text{sin}(131^{\circ})}[/tex]
[tex]\frac{j}{\text{sin}(26^{\circ})}\cdot \text{sin}(26^{\circ})=\frac{22}{\text{sin}(131^{\circ})}\cdot \text{sin}(26^{\circ})[/tex]
[tex]j=\frac{22}{0.754709580223}\cdot 0.438371146789[/tex]
[tex]j=\frac{9.644165229358}{0.754709580223}[/tex]
[tex]j=12.77864423889[/tex]
Upon rounding to nearest tenth, we will get:
[tex]j\approx 12.8[/tex]
Therefore, the length of j is approximately 12.8 cm.
Answer:
12.8
Step-by-step explanation:
delta math
Triangle FGH wasdilated using a scale factor of 1/2 to create triangle PQR
which statement is true?
Answers
Answer:
D. Side FG is two times the length of side PQ.
Step-by-step explanation:
Because FGH was dilated by a scale factor of 1/2 to create PQR, that means that every side of FGH is two times the side lengths of PQR.
What is the slope of the line?
Answers
Answer:
-3/2
Step-by-step explanation:
That is the answer on Khan.
The slope of the graph passes through the points (0, 2) and (2, - 1) is, - 3/2
Used the concept of the slope of the line which states that,
The slope of a line passing through the points (x₁ , y₁) and (x₂, y₂) is,
[tex]m = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Given that,
The graph of a line is shown.
Let two points on the graph be (0, 2) and (2, - 1).
Hence, the slope of the line is,
[tex]m = \dfrac{(-1 - 2)}{(2 - 0)}[/tex]
[tex]m = \dfrac{- 3}{2}[/tex]
So, the slope of the graph is - 3/2.
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x + y = 7 x + y = 6 What is the solution of the system shown? (6, 12) ( , 14) (10 , 5)
Answers
Answer:
no solution
Step-by-step explanation:
x + y = 7
x + y = 6
Multiply the second equation by -1
x + y = 7
-x - y = -6
-----------------------
0x +0y = 1
0 =1
This is never true so there is no solution
(fx)=4x^2-25 answer this question using factoring
Answers
Answer:
(2x+5)(2x-5)
x=-5/2, +5/2
Step-by-step explanation:
Find the sum or difference. Write your answers in scientific notation.
(6.5×10−4)−(1.9×10−5)=
(5.3×109)+(2.8×109)=
Answers
Answer:
[tex]6.31*10^{-4} \\8.1*10^{9}[/tex]
Step-by-step explanation:
0.00065 - 0.000019 = 0.000631
Move back 4 decimal places.
5300000000 + 2800000000 = 8100000000
Move forward 9 decimal places.
Hope this helps! If you need help on converting them back to scientific notation or getting the value of the exponent, just ask!
Final answer:
To find the sum or difference, adjust the scientific notations to have the same exponent, perform the operation, and keep the result in scientific notation. (6.5×10⁻⁴) − (1.9×10⁻⁵) equals 6.31×10⁻⁴ and (5.3×10⁹) + (2.8×10⁹) equals 8.1×10⁹.
Explanation:
To find the sum or difference of numbers in scientific notation, we need to make sure that the exponents are the same. If they're not, we adjust one of the numbers by changing its exponent and mantissa accordingly.
Solution for (6.5×10⁻⁴) − (1.9×10⁻⁵)
First, we adjust the second term so that it has the same exponent as the first:
(1.9×10⁻⁵) = (0.19×10⁻⁴)
Now, we subtract the mantissas while maintaining the exponent:
(6.5 - 0.19)×10⁻⁴ = 6.31×10⁻⁴.
Solution for (5.3×10⁹) + (2.8×10⁹)
Since the exponents are the same, we can directly add the mantissa:
(5.3 + 2.8)×10⁹ = 8.1×10⁹.
Both answers are now in scientific notation.
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Answers
Answer:
[tex]k=5[/tex]
Step-by-step explanation:
[tex]18 + 8k = 58\\\\\text {Subtract 18 from both sides.}\\\rightarrow 18-18+8k=58-18\\\boxed {8k=40}\\\\\text {Divide by 8 on both sides.}\\8k/8 = 40/8\\\boxed {k=5}[/tex]
Brainliest Appreciated!
What step comes first to solve 18/2 - 5 + 7 - 12
Answers
Answer:
You would do 18/2 first.
Step-by-step explanation:
In order of P.E.M.D.A.S (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction), Division is the first main operation you would do, therefore making 18/2 the first thing to do.
In the state of Arkansas, Muscadine grapes are a very popular fruit for making jam and jelly. Michael began growing the fruit more than twelve years ago. He predicted this year's crop would produce 8 bushels. When harvesting was complete, he actually counted 14 bushels. Find the percent of error. (Round to the nearest whole percent and include the percent sign in your answer).
Answers
Answer:
The percentage of error in the question is 75%.
Step-by-step explanation:
To find the percentage of error, we need to subtract the actual value from the value that was expected, divide the result by the expected value.
He predicted that the crop would produce 8 bushels so this is our expected value. The actual value, which is the number of bushels produced, is 14.
If we make the calculation (14 - 8) / 8 = 6 / 8.And then multiply the result by 100 to find the percentage, (6 / 8) x 100 = 75.So the percentage of error in the question is 75%.
I hope this answer helps.
what is the answer i am confused pls help
Answers
HELP WILL GIVE BRAIN LIST PLZZ HELP ME ASAP!!
What is the volume of the figure above if a = 5 units and b = 8 units?
A.
215 cubic units
B.
825 cubic units
C.
200 cubic units
D.
325 cubic units
Answers
Answer:
D. 325 cubic units
Step-by-step explanation:
Since this is an irregular 3 dimensional object, I'm going to cut it into a 5 by 5 by 5 cube and a 5 by 5 by 8 rectangular prism.
Solving for the cube:
5*5*5=
25*5=
125 units³
Solving for the rectangular prism:
5*5*8=
25*8=
200 units³
Now to find the total volume of the figure, we need to add those 2 volumes together:
200+125=325 units³
Our answer is D. 325 cubic units.
Use the Law of Sines and/or the Law of Cosines to solve each triangle. Round to the Nearest tenth when necessary
(Unit 8: Right Triangles & Trigonometry, Homework 9: Law of Sines & Cosines: + Applications)
Answers
Answer:
∠TSR= 48°
∠RTS = 107°
∠TRS = 25°
Step-by-step explanation:
As we know in any triangles,
a, b and c are sidesC is the angle opposite side cWe can apply The Law of Cosines , which is:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] − 2ab cos(C)
In this situation we have:
RT = a = 11TS = b = 6SR = c = 14Apply The Law of Cosines to find the angle of TRS
<=> [tex]6^{2} = 11^{2} + 14^{2} - 2*11*14*cos(TRS)[/tex]
<=> cos(TRS ) = ([tex]11^{2} + 14^{2} - 6^{2}[/tex]) / 2*11*14
<=> cos(TRS ) = 0.91
<=> ∠TRS = 25°
Apply The Law of Cosines to find the angle of RTS
<=> [tex]14^{2} = 11^{2} + 6^{2} - 2*11*6*cos(RTS)[/tex]
<=> cos(RTS) = ([tex]11^{2} + 6^{2} - 14^{2}[/tex]) / 2*11*6
<=> cos(RTS) = -0.29
<=> ∠RTS = = 107°
So we can find the measure of angle TSR
∠TSR= 180° - 107° - 25°
∠TSR= 48°
Using cosine law or sin law the angles of the triangle is as follows:
∠T = 107.2°
∠S = 48.6°
∠R = 24.2°
Using cosine rule,
Cosine rulet² = r² + s² - 2rs cos TTherefore,
14² = 6² + 11²- 2 × 6 × 11 cos T
196 - 36 - 121 = -132 cos T
cost T = 39 / - 132
T = cos⁻¹ -0.29545454545
T = 107.184793175
T = 107.2°
Sine ruleTherefore, let's find angle S using sine law
s / sin S = t / sin T
11 / sin S = 14 / sin 107.2
11 sin 107.2 = 14 sin S
sin S = 10.5080619833 / 14
S = sin ⁻¹ 0.75057585595
S = 48.6397771973
S = 48.6°
R = 18 0 - 48.6 - 107.2 = 24.2
R = 24.2°
learn more on triangle here: https://brainly.com/question/9838941
someone please solve this for me!
Answers
Answer:
x = 149
Step-by-step explanation:
The transversal t crosses parallel lines m and n creating a number of angles. Both marked angles are above and to the right of the point of intersection, so they are corresponding angles.
Corresponding angles in this geometry have identical measures:
x° = 149°
x = 149
Jasmine is sliding down a 40-foot water park slide. The equation h = 40 − 2.5t gives her height, h, above the bottom of the slide t seconds after shoving off. How high above the bottom of the slide will Jasmine be after 8 seconds?
Answers
We know the time is 8 seconds so since it’s 2.5t and t is 8 do 8x2.5 and you will get 20 so now we now 2.5t is 20 but they want the height and so you plug it into the equation h=40-20 and so h is 20
A number k is greater than 3
Answers
Answer:
k>3.
Step-by-step explanation:
Hello there!
Just graph this on a number line, and you will see that any number above 3 can be equal to k.
:)
Hi, I need help.
If 4r+7s=23 and r−2s=17 then 3r+3s=
(A) 8 (B) 24 (C) 32 (D) 40 (E) 16
Answers
Answer:
B, 24 (second answer choice)
Step-by-step explanation:
4r+7s=23
r-2s=17
8r+14s=46
7r-14s=119
15r=165
r=11
11-2s=17..........by putting value of r in ii
-2s=17-11
2s= -6
s= -3
3r+3s=3*11+3(-3) you get this by putting values of r and s
=33-9
=24 (B)
============================================================
Explanation:
Add the left hand sides of the two equations to get (4r+7s)+(r-2s) = 5r+5s
Do the same for the right hand sides of the two equations 23+17 = 40
After adding the equations, we end up with 5r+5s = 40 which is the same as 5(r+s) = 40
Next, divide both sides by 5 to lead to r+s = 8
Finally, multiply both sides by 3 to end up with 3(r+s) = 24 which is the same as 3r+3s = 24
----------------------------
An alternative is to solve r-2s = 17 for r to get r = 2s+17. Then plug this into 4r+7s = 23 getting 4(2s+17)+7s = 23. This solves to...
4(2s+17)+7s = 23
8s+68+7s = 23
15s+68 = 23
15s = 23-68
15s = -45
s = -45/15
s = -3
Which means,
r = 2s+17
r = 2(-3)+17
r = 11
and therefore,
3r+3s = 3(-3)+3(11) = -9+33 = 24
I NEED THIS SO BAD SO I WILL GIVE CROWN FOR ANSWER
Bela runs a 6.2 mile race and a 26.22 mile race during the year.
How many total miles did she run in both races?
Enter your answer in the box.
Answers
Answer:
32.42 miles
Step-by-step explanation:
you could have just added
Answer:
32.42 miles
hope this helped
Emily has 3/4 of an apple pie left over from dinner. After lunch, she ate half of what was left. What fraction of the pie is left?
Answers
Answer:
1/4
Step-by-step explanation:
Answer:
This is what I got 0.375
Step-by-step explanation:
But this is in decimal form. Sry
Solve X: -3x +32-2x=-2 (5x + 10)
How many solutions does
3x + 3 = 3(x + 1) have ?
Answers
1)
[tex] - 3x + 32 - 2x = - 2(5x + 10) \\ - 5x + 32 = - 10x - 20 \\ 5x = - 52 \\ x = - 10.4[/tex]
2)
[tex]3x + 3 = 3(x + 1) \\ 3x + 3 = 3x + 3 \\ 0x = 0[/tex]
This equation has an infinite number of solutions
The solution is infinite.
-Dhruva;)
2. The temperature of the ocean at Huntington Beach can vary up to 8.6°F from the
average temperature of 75°F. Write and solve an absolute value equation to find the temperature extremes of the ocean.
temperature extremes of the ocean.
Answers
Let x represent temperature of the ocean.
We have been given that the temperature of the ocean at Huntington Beach can vary up to 8.6°F from the average temperature of 75°F. We are asked to write an absolute value equation to find the temperature extremes of the ocean.
We will use tolerance formula to solve our given problems.
[tex]|\text{Actual}-\text{Ideal}|\leq\text{Tolerance}[/tex]
Upon substituting our given values in above formula, we will get:
[tex]|x-75|\leq 8.6[/tex]
Therefore, our required inequality would be [tex]|x-75|\leq 8.6[/tex].
Using absolute value rule [tex]\text{If }|u|\leq a,\text{ then } -a\leq u\leq a[/tex], we will get:
[tex]-8.6\leq x-75\leq 8.6[/tex]
[tex]-8.6+75\leq x-75+75\leq 8.6+75[/tex]
[tex]66.4\leq x\leq 83.6[/tex]
Therefore, the temperature extremes of the ocean would be [tex]66.4\leq x\leq 83.6[/tex].
If you help me god bless you and your a legend
Answers
Answer:
C. 14xy - 6y²
Step-by-step explanation:
The distributive property will essentially result in the sum of the product of the "outside term" with each of the "inside terms".
Here, the "outside term" is 2y and the "inside terms" are 7x and -3y. So:
2y(7x - 3y) = 2y * 7x + 2y * (-3y) = 14xy - 6y²
The answer is C.
In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a
sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a
brown, then black sock?
1/36
1/18
V
2/33
Answers
Answer:
D
Step-by-step explanation:
[tex]\frac{1}{18}[/tex]
Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. An event's probability is a number between [tex]0[/tex] and [tex]1[/tex].
Number of white socks [tex]=6[/tex]
Number of black socks [tex]=4[/tex]
Number of brown socks [tex]=2[/tex]
A brown sock is picked and replaced then a black sock is picked.
Probability that a brown sock is picked and replaced then a black sock is picked [tex]=\frac{2}{12}\times \frac{4}{12}[/tex]
[tex]=\frac{1}{3}\times \frac{1}{6}[/tex]
[tex]=\boldsymbol{\frac{1}{18}}[/tex]
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10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000+1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Answers
Answer:
2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Step-by-step explanation: