Answers
ANSWERS ARE AT THE BOTTOM.
To find the probability of 2 events happening in a row, we need to multiply their probabilities.
For example, if a friend bet: "If you roll a six on a dice and filp and coin and get heads, then I'll give you 500 bucks. However, if you don't roll a six and flip and coin and get heads in a row, then you have to give me 500 bucks."
You want to know the probability of you winning this bet.
So, we need to multiply the probability of rolling a six, and the probability of flipping a coin and landing heads.
This is 1/6 * 1/2
That is 1/12
You probably should't take this bet, because you only have a 1/12 chance of winning.
Lets go back to your problem. The jar contains 16 red marbles and 28 blue marbles. The probability of picking a red marble right now is 16/28, or 4/7. Assume we picked a red marble on our first try. Now, there are only 15 red marbles. The probability of picking a red marble right now is 15/28.
Probability of picking a red marble on your first try: 4/7
Probability of picking a red marble on your second try: 15/28
Now, we need to multiply the probabilities.
4/7 * 15/28
60/196
15/49
ANSWER:
15/49
Related Questions
A student wanted to find the sum of all the even numbers from 1 to 100. He said: The sum of all the even numbers from 1 to 100 is twice the sum of all the odd numbers from 1 to 100. The sum of all the odd numbers from 1 to 100 is 1002. Explain why each of these statements is incorrect. HELP ME ASAP
Answers
Statement 1
Twice the sum of the odd numbers would be:
[tex]2(1+3+5+\cdots+99)=2+6+10+\cdots+198[/tex], which is not equal to the sum of all the even numbers from 1 to 100.
Statement 2
The sum of all the odd numbers from 1 to 100 can be thought of as an arithmetic sequence containing 50 terms, with first term 1 and common difference 2. This means the sum of the series would be:
[tex]\frac{50}{2}[2(1)+(50-1)(2)]=2500[/tex]
which is not equal to 1002.
The statement 1 and the statement 2 are incorrect.
The sum of the arithmetic series of first term a₁ and common difference d will be s= n/2{2a₁+(n-1)d
Statement 1:
Given in statement 1, Twice the sum of the odd numbers would be:
2(1+3+5+7.......+99)=2+6+10+14+.....198
which is not equal to the sum of all the even numbers from 1 to 100.
Statement 2:
The sum of all the odd numbers from 1 to 100 can be calculated as follows where this is an arithmetic sequence of 50 terms, where the first term is 1 and the common difference is 2. This means the sum of the arithmetic series would be:
s= n/2{2a₁+(n-1)d}
putting the above formula
a₁=1
n=50
d=2
s= 50/2{2(1)+(50-1)2} = 25{2+98} =2500 ≠1002
which is not equal to 1002.
Therefore statement 1 and 2 are incorrect.
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GOD PLEASE HELP!
Which of these is NOT a key factor that contributed to the financial crisis that started in 2007?
bond rating agencies giving CDOs very low ratings, discouraging investors to invest
highly leveraged investment accounts that magnified losses when bond prices decreased
excessive use of subprime mortgages to borrowers with poor credit
banks being incentivized to sell risky mortgages as mortgage-backed securities
Answers
Answer:
i think, bond rating agencies giving CDOs very low ratings, discouraging investors to invest
Step-by-step explanation:
Brittany removed half of the total number of marbles from her bag, and gave one fourth of the remaining marbles to her friend. What fraction of the total number of marbles is left in the bag? A) 1/4, B) 3/8, C) 1/2, D) 7/8
Answers
The fraction of the total number of marbles is left in the bag after removing and giving part to her friend is 3/8
Fractionlet
Number of marbles in her bag = xNumber of marbles removed from her bag = 1/2xRemaining marbles = x - 1/2x
= (2x-x) / 2
= x/2
= 1/2x
Number of marbles given to her friend = 1/4 of 1/2x
= 1/4 × 1/2x
= 1/8x
Number of marbles left in the bag = Remaining marbles - Number of marbles given to her friend
= 1/2x - 1/8x
= (4x-x) / 8
= 3x/8
= 3/8x
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In 2010, the amount in Raja's account was 40 Lakhs. He debited 8000 in 2011, and in 2012, he debited 2,07,000. In 2013, he credited 1,16,000, and in 2014 he credited 12,000. How much more he has to credit to be worth what it was at at the start of 2010
Answers
How much more he has to credit to be worth what it was at at the start of 2010 is: 3,657,000.
Additional credit amountFirsts step
Total amount debited=8,000+207,000
Total amount debited=215,000
Total amount credited=116,000+12,000
Total amount credited=128,000
Second step
Additional amount to credit:
40 Lakhs is 4,000,000
Hence:
Additional amount to credit=4,000,000- (215,000+128,000)
Additional amount to credit=4,000,000-343,000
Additional amount to credit=
Therefore how much more he has to credit to be worth what it was at at the start of 2010 is: 3,657,000.
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Taylor's computer randomly generate numbers between 0 and 4, as represented by the given uniform density curve.
A graph titled Random number generated by computer has random number on the x-axis. A horizontal line is at y = one-fourth from 0 to 4.
What percentage of numbers randomly generated by Taylor's computer are less than 0.5?
12.5%
25%
50%
87.5%
Picture posted below
Answers
12.5% is the percentage of numbers randomly generated by Taylor's computer that is less than 0.5.
An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).
The percentage of numbers randomly generated by Taylor's computer are less than 0.5 is given by
P(0≤X≤0.5)
=[tex]\int_{0}^{0.5}\frac{1}{4}dx[/tex]
[tex]=\frac{1}{4}x|^{0.5}_{0}[/tex]
[tex]=\frac{1}{4}(0.5-0)[/tex]
[tex]=0.25(0.5)[/tex]
= 0.125
That is 12.5%
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Select the point that is a solution to the system of inequalities.
y≤2x-2
y≤ x²-3x
Answers
Both statements are true. Therefore (4,2) is a solution and option D is correct.
The given inequalities are [tex]y\leq 2x-2[/tex] and [tex]y\leq x^{2} -3x[/tex].
We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).
What is an example of a system of inequalities in real life?Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.
Any point is a solution to this system of inequality if it satisfies both inequalities.
Check the inequalities by each option.
For (-2, -1), [tex]-1\leq 2(-2)-2 \implies -1\leq -6[/tex].
This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.
For (1, 3), [tex]3\leq 2(1)-2 \implies 3\leq 0[/tex]
This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.
For (2,1), [tex]1\leq 2(2)-2 \implies 1\leq 2[/tex].
[tex]1\leq 2^{2} -3(2) \implies 1\leq -2[/tex]
This statement is false because 1 is greater than -2. Therefore (2,1) is not a solution and option C is incorrect.
For (4,2), [tex]2\leq 2(4)-2 \implies 2\leq 6[/tex]
[tex]2\leq 4^{2} -3(4) \implies 2\leq 4[/tex]
Both statements are true. Therefore (4,2) is a solution and option D is correct.
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Can anyone solve this problem ?
Answers
Answer:
defectionist forme solb ifv
Can someone help me answer fast
Answers
Answer:
2x+3+9
because plyer scored 9 points and throw 2point shotand same number 3
It is 6 kilometers from Linda's house to the nearest mailbox. How far is it in meters?
Answers
Answer:
6000 meters
Step-by-step explanation:
Each kilometer is 1000 meters so 1000 x 6 is 6000
1532＝8467 4286＝5713 3059＝
Answers
Answer:
3059＝6940
Step-by-step explanation:
For the two examples given, we can see a consistency:
1 becomes 8 ; 8 becomes 1
5 becomes 4 ; 4 becomes 5
3 becomes 6 ; 6 becomes 3
2 becomes 7
because they are the only two digits left without a correlated pair, we can assume that 0 and 9 have the same relationship
So,
3 -> 6
0 -> 9
5 -> 4
9 -> 0
Meaning that 3059＝6940
hope this helps!! have a lovely day :)
In the 30-60-90 triangle below, side s has a length of.
length of
30
90⁰
S
10
60"
A. 5.2: 5.2
B. 5,10,3
and side q has a
Answers
Answer: C, 5, 5√3
Step-by-step explanation:
The short leg of a 30-60-90 triangle equal half the hypotenuse, 10/2 = 5. The long leg equals √3 times the short leg, 5*√3 = 5√3.
if angle X is an acute angle with tan X = 8/7, what is the value of sec X?
Answers
Answer: [tex]\frac{\sqrt{113}}{7}[/tex]
Step-by-step explanation:
As X is an acute angle, all 6 trigonometric functions with an argument of X are positive.
Using the identity [tex]1+\tan^{2} X=\sec^{2} X[/tex],
[tex]1+\left(\frac{8}{7} \right)^{2}=\sec^{2} X\\\\\sec^{2} X=\frac{113}{49}\\\\\therefore \sec X=\boxed{\frac{\sqrt{113}}{7}}[/tex]
Seismology In 1812, an earthquake of magnitude 7.9 shook New Madrid,
Missouri. Compare the amount of energy released by that earthquake to the
amount of energy released by each earthquake below.
magnitude 9.5 in Valdivia, Chile, in 1960
Answers
Which absolute value functions will be narrower than the parent function, f(x) = |x|? Check all that apply.
f(x) = |x|
f(x) = |x – 2|
f(x) = |x| + 3
f(x) = 2.9|x|
f(x) = 1.2|x + 8|
f(x) = 0.7|x| – 3.2
Answers
The correct answer is option 4 which is f(x) = 2.9|x| is narrower than the parent function f(x) = |x|
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given parent function is f(x)=|x|
Now we have to find which function from given choices will be narrower than the parent function.
Notice that adding or subtracting some number from the parent function only shifts the graph up, down, and left of the right side.
But that will not make the function narrower or broader.
So f(x) = |x – 2| and f(x) = |x| + 3, can't be the answer.
Multiplying by some positive real number which is more than 1, makes the function narrower.
Only f(x) = 2.9|x| from remaining choices fits that case.
Hence correct answer is option 4 which is f(x) = 2.9|x| is narrower than the parent function f(x) = |x|
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Answer:
D,E
Step-by-step explanation:
At the local Stop and Shop, Haagan Dazs ice cream is on sale for $3.67 for 14oz.
Breyer’s half gallons are on sale for $4.69. Use unit pricing to compare and determine
which is a better deal.
Answers
Answer:
Breyer
Step-by-step explanation:
1gallon=128oz half gallon=64oz
We can make both of their unit to 224oz: 14x16=224oz 64x3.5=224oz
Haagen Dazs:3.67x16=58.72/224oz
Breyer: 4.69x3.5=16.415/224oz
Breyer’s way cheaper
How to solve this one
Please step by step
Answers
Answer: 1/2
Step-by-step explanation:
Dividing the numerator and denominator by x, we get the limit is equal to:
[tex]\lim_{x \to -\infty} \frac{-\sqrt{1+\frac{5}{x}+\frac{1}{x^2}}+3}{4+\frac{7}{x}}\\\\=\frac{\lim_{x \to -\infty} \left(-\sqrt{1+\frac{5}{x}+\frac{1}{x^2}}+3 \right)}{\lim_{x \to -\infty} \left(4+\frac{7}{x} \right)}\\\\=\frac{2}{4}=\boxed{1/2}[/tex]
which number property is illustrated in the Identy ?
(1/2+1/3)+1/4 = 1/2 + (1/3+ 1/4
A) Associative
B) commutative
C) Distributive
D) Identity
Answers
good morning i need help very fast
Answers
Step-by-step explanation:
all the details You can find in the attachment.
What complex number is represented by the polar coordinates (4, -pi/4)
Answers
Answer:
[tex]\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}[/tex]
Step-by-step explanation:
A complex number is defined as z = a + bi. Since the complex number also represents right triangle whenever forms a vector at (a,b). Hence, a = rcosθ and b = rsinθ where r is radius (sometimes is written as |z|).
Substitute a = rcosθ and b = rsinθ in which the equation be z = rcosθ + irsinθ.
Factor r-term and we finally have z = r(cosθ + isinθ). How fortunately, the polar coordinate is defined as (r, θ) coordinate and therefore we can say that r = 4 and θ = -π/4. Substitute the values in the equation.
[tex]\displaystyle \large{z=4[\cos (-\frac{\pi}{4}) + i\sin (-\frac{\pi}{4})]}[/tex]
Evaluate the values. Keep in mind that both cos(-π/4) is cos(-45°) which is √2/2 and sin(-π/4) is sin(-45°) which is -√2/2 as accorded to unit circle.
[tex]\displaystyle \large{z=4\left(\frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2}i \right)}\\\\\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}[/tex]
Hence, the complex number that has polar coordinate of (4,-45°) is [tex]\displaystyle \large{z=2\sqrt{2} -2 \sqrt{2}i}[/tex]
i need help with this question!!!!!!
Answers
Answer: [tex]87^{\circ}[/tex]
Step-by-step explanation:
Because an angle inscribed in a semicircle is a right angle, [tex]\angle B=90^{\circ}[/tex]
So, as angles in a triangle add to 180 degrees, [tex]\angle A=180^{\circ}-90^{\circ}-3^{\circ}=\boxed{87^{\circ}}[/tex]
Which expression is equivalent to (a²b¹c)²(6a³b)(2c³)³₂ 4ab¹2c3 ?
Answers
The expression (a²b¹c)² × (6a³b) × (2c³)³ × (4ab¹) × (2c³) is equivalent to the expression 384a⁸b⁴c¹⁴.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ (a²b¹c)² × (6a³b) × (2c³)³ × (4ab¹) × (2c³)
By simplifying, we have
⇒ a⁴b²c² × 6a³b × 8c⁹ × 4ab¹ × 2c³
⇒ 384a⁸b⁴c¹⁴
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which equation has the solution x=6
Answers
Answer:
need more info
Step-by-step explanation:
what I can tell you is that when you change all the x's in the equation to 6s, both sides of the equation will equal eachother.
If anyone can help me to solve this.
Answers
Explanation:
Equation: x + 1 = 9
Solving Steps:
x + 1 = 9 (subtract both sides by 1)
x + 1 - 1 = 9 - 1 (simplify the following)
x = 8
Then check for solution:
x + 1 = 9
[insert x = 8]
8 + 1 = 9
9 = 9
As both sides are equal, the statement is true.
[tex]\large\underline{ \cal{SOLUTION:}}[/tex]
[tex] \large \bold{x + 1 = 9}[/tex]
[tex] \large \bold{x = 9 - 1}[/tex]
[tex] \large \bold{x = \red{8}}[/tex]
[tex] \: [/tex]
[tex]\large\underline{ \cal{CHECKING:}}[/tex]
Put x = 8[tex] \large{ \bold{ \underline{ \red{8} }+ 1 = 9}}[/tex]
___________________________________[tex] \large \bold{-N} \frak{unx-}[/tex]
What is the best estimate of the perimeter of the figure on the grid if each square has side lengths of 1 mm?
Answers
Answer:
4mm
Step-by-step explanation:
you have to add both sides after substituting each of the 4 sides by 1mm
which gives you the total of 4
A firm operated at 80% of capacity for the past year, during which fixed costs were $197,000, variable costs were 70% of sales, and sales were $900,000. Operating profit was
a.$73,000
b.$630,000
c.$58,400
d.$270,000
Answers
The correct answer is option A which is the operating profit will be $73000.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
A firm operated at 80% of capacity for the past year, during which fixed costs were $197,000, variable costs were 70% of sales, and sales were $900,000.We will consider the following notations and will make the expression for operating profit.
P = profit
S = sales = $900000
F = Fixed cost = $197000
V = 07S = variable cost
So the expression will be given as:-
P = S - F - V
P = S - F - 0.7S
P = 9000000 - 1797000 - ( 0.7 x 9000000)
P = 703000 - 630000
P = $73000
Therefore the correct answer is option A which is the operating profit will be $73000.
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Find the linear regression equation for the transformed data. x=1,2,3,4,5 y=13,19,37,91,253 log y=1.114,1.279,1.568,1.959,2,403
A. log(y)=-0.687x+0.326
B. log(y)=0.687x+0.326
C. log(y)=-0.326x+0.687
D. log(y)=0.326x+0.687
Answers
Answer:
The answer is OPTION (D)log(y)=0.326x+0.687
Linear regression:
It is a linear model, e.g. a model that assumes a linear relationship between the input variables (x) and the single output variable (y)
The Linear regression equation for the transformed data:
We transform the predictor (x) values only. We transform the response (y) values only. We transform both the predictor (x) values and response (y) values.
(1, 13) 1.114
(2, 19) 1.279
(3, 37) 1.568
(4, 91) 1.959
(5, 253) 2.403
X Y Log(y)
1 13 1.114
2 19 1.740
3 37 2.543
4 91 3.381
5 253 4.226
Sum of X = 15
Sum of Y = 8.323
Mean X = 3
Mean Y = 1.6646
Sum of squares (SSX) = 10
Sum of products (SP) = 3.258
Regression Equation = ŷ = bX + a
b = SP/SSX = 3.26/10 = 0.3258
a = MY - bMX = 1.66 - (0.33*3) = 0.6872
ŷ = 0.3258X + 0.6872
The graph is plotted below:
The linear regression equation is log(y)=0.326x+0.687
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62. The width of a rectangle is 3 cm less than its length. The perimeter of the rectangle is 30 cm. Find the length and width of the rectangle.
Answers
Answer: Length = 9 cm, Width = 6 cm
Step-by-step explanation:
L - 3 + L - 3 + L + L = 30
2L - 6 + 2L = 30
4L - 6 = 30
4L = 36
L = 9
Length = 9 cm
Width = 9-3 = 6 cm
point slope form help urgent algebra 2
Answers
Answer:
uhm where is x1 and y1?
Step-by-step explanation:
Y – y1 = m (x – x1)
[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]
Write the equation of the line in P.S. form given the information below.
[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]
We cannot write an equation in Point-Slope Form, without knowing the Point-Slope Equation. [tex]\bf{y-y1=m(x-x1)}[/tex].
Now, all that we need to do is plug in the information given, that is
Slope = [tex]\bf{-\dfrac{1}{5}}[/tex].Y-intercept = [tex]\bf{-3 ==== > > (0,-3)}[/tex][tex]\rule{300}{1.7}[/tex]
[tex]\bf{y-(-3)=-\dfrac{1}{5}(x-0)}[/tex]
[tex]\triangledown[/tex]
[tex]\bf y+3=-\dfrac{1}{5}(x-0)}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\bf{y+3=-\dfrac{1}{5}(x-0).\;Hope\;the\;rest\;of\;your\;day\;is\;going\;to\;be\;fun!}[/tex]
[tex]\rule{300}{1.7}[/tex]
~[tex]\boxed{\bf{aesthetic \not101}}[/tex]~
What is the range of the function g(x) = –3sec(2x + 4) – 1?
(–∞, –2] ∪ [0, ∞)
(–∞, –4] ∪ [0, ∞)
(–∞, –4] ∪ [2, ∞)
(–∞, –5] ∪ [1, ∞)
Answers
The range of the function g(x) will be (–∞, –4] ∪ [2, ∞). Option C is correct.
What is the difference between domain and range?The domain denotes all potential x values, while the range denotes all possible y values.
When we plot the graph of the given function we will get the maximum and the minimum value till we get the function plot. The difference in the value of those coordinates is the range of the function.
The range of the function g(x) will be (–∞, –4] ∪ [2, ∞).
Hence option C is correct.
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Please help quick!!
Answers
Answer:
the answer will be similar, because if you divide 2, 3, 2.25 by 3 you will get the answer.
