The maximum amount you can get from your mother is $30, while the most amount you can get from your sister is $21, but the dice is the better bargain.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value of X is:
[tex]E(X) = np\\[/tex]
You need to borrow money for gas, so you ask your mother and your sister.
You can only borrow money from one of them.
Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin.
She will give you $9 for heads and $21 for tails.
Your mother says she wants you to roll a six-sided die.
She will give you $5 times the number that appears on the die.
The expected value for a coin will be
[tex]E(X) = 1 \times 0.5 = 0.5[/tex]
The expected value for a dice will be
[tex]E(X) = 1 \times \dfrac{1}{6} = 0.1667[/tex]
You can easily receive $9/$21 from your sister, but it won't be as much as the dice, and you'll take a bigger risk with the dice because it has six sides.
The maximum amount you can get from your mother is $30, while the most amount you can get from your sister is $21, but the dice is the better bargain.
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Choose the equation below that represents the line passing through the point (2, -5) with a slope of -3.
y = -3% - 13
Oy=-3x + 13
Oy=-3x + 1
Oy=-3x + 11
Answer:
D
Step-by-step explanation:
Slope
All answers agree that the slope = - 3
y intercept
So far what you know is that the line is
y = -3x + b
The point shows that
5 = -3*2 + b Combine right
5 = -6 + b Add 6 to both sides
5 + 6 = -6+6 + b Combine
11 = b
So the y intercept = 11
Answer: y = -3x + 11 D
A cell phone company charges $25 per month, plus $0.10 per text message sent. Before taxes, Susie’s bill was $80 for 3 months of service. How many text messages did Susie send during those 3
how do you do this step by step?
Answer:
Step-by-step explanation:
in need the proofs and statements
Answer:
Since we are given that angle Y = angle Z
The magnitude of the angles will also be equal
∠Y = ∠Z
(x + 10) = (2x - 90)
90 + 10 = 2x - x
100 = x
the square with a side length (x + 3) and an equilateral triangle with side lengths (3x-1) have the same perimeter what is the value of x?
Help please
Answer: x = 9/5 or [tex]1\frac{4}{5}[/tex]
35 1/5 is the perimeter of the square and the triangle.
Step-by-step explanation:
The square has 4 sides, so the perimeter of the square is 4(x+3)
The triangle has 3 sides so the perimeter is 3(3x-1)
The perimeters are equal, so 4(x+3) = 3(3x-1)
Solve by distributing and then
4x +12 = 9x - 3 subtract 4x from both sides and add 3 to both sides
4x-4x +12 -3 = 9x-4x -3 +3 cancel the zero sums and combine similar terms.
9 = 5x divide both sides by 5
x = 9/5
Check: 4(9/5 +3) = 3[3(9/5) -1]
36/5 + 3 = [3( 27/5 -1 ] 27/5 -3 -3 equivalent -15/5 27/5 -15/5 = 12/5
36/5 = 3(12/5) = 36/5 TRUE! simplify to mixed numbers
35 1/5 is the perimeter of the square and the triangle.
Answer:
u,
Step-by-step explanation:
Write the polynomial in standard form. Identify the degree and leading coefficient of the polynomial. Then classify the polynomial by the number of terms.
6c2+2c4−c
Answer:
46;&74)474:&48&4:&48&
Step-by-step explanation:
For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.
Beth bought 35¢ stamps and 15¢ stamps at the post office. If she purchased 60 stamps at a cost of $17, how many of each kind did she buy?
Answer:
She buys 20 Stamps of $0.15 and 40 Stamps of $0.35.
Step-by-step explanation:
40 x 0.35 = 14
20 x 0.15 = 3
$14 + $3 = $17
40 ($0.35) + 20 (0.15) = 60 stamps
The average temperature at the South Pole is -49.62°C, and the average temperature at the North Pole is -34.68°C. How much higher is the average temperature at the North Pole than at the South Pole?
A.
-84.3°C
B.
-14.94°C
C.
14.94°C
D.
84.3°C
Answer:
i am pretty sure it's -14.92
Step-by-step explanation:
Answer:
B!!!
Step-by-step explanation:
A box of LED light bulbs was tested to see how long the light bulbs last. The standard deviation of the light bulb lifetime data was five years. Which of the following is the best interpretation of this value?
Fifty percent of the light bulb lifetime data is below five years.
The difference between the longest and shortest light bulb lifetime was five years.
The lifetime of the light bulbs typically varies by about five years from the mean.
The middle half of the light bulb lifetime data has a range that is five years wide.
The difference between the longest and shortest light bulb lifetime was five years is correct interpretation so option (B) will be correct.
What is the standard deviation?The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.
In other meaning, standard deviation shows the deviation of the value of data from the mean.
Standard deviation is how much-given data is deviate from the mean of it.
So the difference between the longest to shortest gives an idea about this deviation.
Hence "The difference between the longest and shortest light bulb lifetime was five years is a correct interpretation".
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What is the solution to the equation? 13+x=74
x=-6 1/4
x=-6 1/4
x =20
x=21
50 Points
What is the value of y?
Answer:
y=14
Step-by-step explanation:
measure of a=50degrees b=50 degrees c=(5(14)+10) =80
50+50+80=180
Answer:
Y= 14
Step-by-step explanation:
a=50degrees
b=50 degrees
c=(5(14)+10) =80
50+50+80=180
Write the equation of a line that passes through the points (−3, 7) and (3, 3)
y=−2/3x+5
y=2/3x+1
y=−2/3x+9
y=2/3x+9
Step-by-step explanation:
You can write an equation of a line conveniently by point-slope form. It's in the form of [tex]y -a = m(x -b)[/tex] where [tex](b,a)[/tex] is the coordinates of a point that's on the line and [tex]m[/tex] is the slope of the line.
Now choose a point (It doesn't really matter which one) and plug that in the equation. I'll choose [tex](-3,7)[/tex] where [tex]a = 7[/tex] and [tex]b = -3[/tex]
[tex]y -a = m(x -b) \\ y -7 = m(x -(-3)) \\ y -7 = m(x +3)[/tex]
The next thing we have to do now is finding the slope, [tex]m[/tex], where it's equal to [tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}\\[/tex]. I'll make [tex](-3,7)[/tex] point 1 and [tex](3,3)[/tex] point 2.
[tex]m = \frac{3 - 7}{3 -(-3)} \\ m = \frac{3 - 7}{3 +3} \\ m = \frac{-4}{6} \\ m = -\frac{2}{3}[/tex]
Now let's plug that to our equation.
[tex]y -7 = m(x +3) \\ y -7 = -\frac{2}{3}(x +3)[/tex]
Now we have the equation but out of all the choices it seemed that all of them are in slope-intercept form all you have to do now is make our equation rewrite it in slope-intercept form.
[tex]y -7 = -\frac{2}{3}(x +3)\\ y -7 = -\frac{2}{3}x -\frac{2}{3}(3) \\ y - 7 = -\frac{2}{3}x -2\\ y = -\frac{2}{3}x +5[/tex]
Answer:[tex]y = -\frac{2}{3}x +5\\[/tex] is your equation.
Please help me guys!!!
Reese wants to organize a party and decides to save money for it.He calculates that he needs $420 in 9 weeks.He already has $60
3x+x√3-2=0. Find value of x
[tex] \sf \: 3x + x \sqrt{3} - 2 = 0 \\ \\ \sf \longrightarrow 3x + \sqrt{3} x = 2 \\ \\ \sf \longrightarrow \sqrt{3}x ( \sqrt{3} +1 ) = 2 \\ \\ \sf \longrightarrow \sqrt{3} x = \frac{2}{ \sqrt{3} + 1 } \\ \\ \sf \longrightarrow x = \frac{2}{ \sqrt{3}( \sqrt{3} + 1) } \\ \\ \sf \longrightarrow x = \frac{2}{3 + \sqrt{3} } \\ \\ \tt{You\:can\:stop\:here\:if\:you\:\bold{don't}\:want\:to }\\ \tt{ \:simplify\:in\:decimal\:form.}\\ \\ \sf \longrightarrow x = \frac{2(3 - \sqrt{3} )}{(3 + \sqrt{3})(3 - \sqrt{3} )} \\ \\ \sf \longrightarrow x = \frac{6 - 2 \sqrt{3} }{ {3}^{2} - {( \sqrt{3}) }^{2} } \\ \\ \sf \longrightarrow x = \frac{6 - 2(1.732)}{9 - 3} \\ \\ \sf \longrightarrow x = \frac{2.536}{6} \\ \\ \leadsto \underline{\boxed{\sf{\pink{x \approx 0.4226}}}}[/tex]
four pumpkins weigh 26 pounds altogether. Pumkin one weighs four less than three times the weight of Pumkin threee. Pumkin four weighs twice as much as pumkin One. Pumpkin Two weighs five more pounds than Pumkin three. What does each pumpkin weigh
Answer:
5, 8, 3, 10 lbs.
Step-by-step explanation:
We can solve this using a system of equations! We will call pumpkins [tex]a, b, c, d[/tex].
Our equations are thus:
[tex]a + b + c + d = 26[/tex]
[tex]a = 3c - 4[/tex]
[tex]d = 2a[/tex]
[tex]b = c + 5[/tex]
So now we just need to solve this system of equations.
We can start by solving for the value of pumpkin [tex]c[/tex] and go from there. So first we substitute some equations around.
First we write out pumpkin [tex]d[/tex] in terms of [tex]a[/tex].
[tex]d = 2a = 2(3c - 4) = 6c - 8[/tex]
And now we put the three equations into the first equation:
[tex]a + b + c + d = 26\\(3c-4)+(c+5)+(c)+(6c-8)=26[/tex]
Then we simplify to get:
[tex]11 c - 7 = 26[/tex]
[tex]11c = 33\\c = 3[/tex]
So we know pumpkin [tex]c[/tex] weighs 3 pounds.
Then we use the equations from before to get the value of the other pumpkins:
[tex]a = 3c-4 = (3*3)-4=9-4=5\\d = 2a = 2*5=10\\b = c + 5 = 3 + 5 = 8[/tex]
And we can check our results by putting into first equation:
[tex]5+8+3+10=26[/tex]
So it works out!
Thus our pumpkins weigh 5, 8, 3, 10 lbs each.
IN THE CENTRAL CITY GRAND PRIX, OUT OF 50 CARS THAT STARTED THE RACE, 12
OF THEM FINISHED. WHAT PERCENT OF THE CARS FINISHED THE RACE? WHAT
PERCENT DID NOT FINISH THE RACE?
I need a step by step explanation please !!!
Answer:
24% finished, 76% did not
Step-by-step explanation:
12cars/50 total +24%, and then just subtract 100% by the 24 to get 76% for the remaining percent
Answer:
24% finished and 76% did not
Step-by-step explanation:
you have the ratios:
12/50 and 38/50
These have to be turned into percentages so they need to have a denominator of 100
to do this, figure out what you have to multiply the denominator by to get 100
In this case, 50 times 2 is equivalent to 100.
Then, whatever you multiplied the denominator by, you multiply the numerator by
In this case, 12 times 2 is 24 and 38 times 2 is 76
Once you have the end products, take the numerator and add a percentage sign to it
Chat me if you have anymore questions
Which of the following have a value equal to |37|? Select all that apply.
A. -37
B. 1-371
C. 0
D. -(-37)
E. 37
Answer:
a and e
Step-by-step explanation:
Answer:
A, D, and E
Step-by-step explanation:
A survey found that 12 out of every 15 people like eating at restaurants. If 500 people surveyed like eating at restaurants, how many people took the survey?
if the answers are 600 | 625 | 15 | 500
[URGENT]
Answer:
625
Step-by-step explanation:
625
What is 9/10 divided by 3/4?
Answer:
6/5
Step-by-step explanation:
hi! when dividing fractions, we use the KCF rule, which stands for keep,change,flip. we keep the first fraction the same, change the division symbol to multiplication, and flip the second fraction to its reciprocal. therefore, we now have:
9/10 * 4/3
now, we can multiply the numerators and denominators.
36/30
we can simplify this.
6/5
4x -2 + 5x + 6
What does this equAl
Answer:
9x + 4
Step-by-step explanation:
Step 1: Write expression
4x - 2 + 5x + 6
Step 2: Combine like terms (x)
9x - 2 + 6
Step 3: Combine like terms (constants)
9x + 4
Answer:
9x + 4
Step-by-step explanation:
HELPPPP!!!! PLEASEEE!!!
Which statement below is true?
A. If p → q is true, then q → p is true.
B. If p → q is true and p is true, then q is true.
C. If p → q and q → r are true, then q → p is true.
D. If p → q and q → r are true, then r → p is true.
Answer:
D is correct
Step-by-step explanation:
p=q then q is the same as p and if r=p that is true
Henry wants to earn at least $41 trimming trees. He charges $8 per hour and pays $7 in equipment fees. What are the possible numbers of hours Henry could trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
8t - 7 ≤ 41 || t ≤ 6
Step-by-step explanation:
8t - 7 ≤ 41
+7 +7
---------------
8t ≤ 48
÷8 ÷8
----------------
t ≤ 6
What are the solution(s) of the quadratic equation 98 – x2 = 0?
Answer:
49
Step-by-step explanation:
98-x2=0
-98 -98
[tex]\frac{x2}{2}[/tex] [tex]\frac{98}{2}[/tex]
49
Is the function even, odd, or neither?
Answer:
A function with a graph that is symmetric about the origin is called an odd function. Note: A function can be neither even nor odd if it does not exhibit either symmetry. For example, f(x)=2x f ( x ) = 2 x is neither even nor odd
Step-by-step explanation:
Rotation is a ______?
A. Spin or turn
B.slide
C.mirror or flip
D.move
HURRY PLEASE
Answer:
A) Spin or turn
Step-by-step explanation:
write the given equation of a line that passes through two given points (0,1) and (2,2)
Answer:
m=slope y = intercept
m= y2-y1 / x2-x1
2-1 / 2-0 = 1 /2
now pick one of the points and put in for y and x
use (2,2) 2= 1/2(2) +b
2=1 + b
2-1 =1-1 +b subtract 1 from each side
1 = b This is your y intercept
Step-by-step explanation:
The equation of the line passing through points (0,1) and (2,2) will be y = ( 1 / 2) x + 1
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope= 2-1 / 2-0 = 1 /2
Now pick one of the points and put in for y and x use (2,2).
2= 1/2(2) +b
2=1 + b
2-1 =1-1 +b subtract 1 from each side
1 = b This is your y-intercept
The equation will be written as:-
y = ( 1 / 2) x + 1
Therefore, the equation of the line passing through points (0,1) and (2,2) will be y = ( 1 / 2) x + 1.
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Find the solution of the system of equations
4x-8y=44
2x+4y=-6
It is easiest to solve this system by elimination.
4x-8y=44
(2x+4y=-6) -2 ----> multiply the second equation by -2 to create equations where the x coefficients are opposites
4x-8y=44
(+) -4x-8y=12
-16y=56
y = -7/2
now substitute the value of y into one of the above equations and solve for x
4x – 8(-7/2) = 44
4x + 28 = 44
4x = 16
X = 4
So, the solution is (4, -7/2)
The solution of the system of equations 4x-8y=44 and 2x+4y=-6is (4, -3.5).
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equation is 4x-8y=44 ...(1)
and 2x+4y=-6...(2)
To eliminate y term we have to multiply equation 2 with 2.
4x+8y=-12..(3)
Now add equation 1 and 3.
4x-8y+4x+8y=44-12
8x=32
Divide both sides by 8
x=4
Now plug in x value in equation 1
4(4)-8y=44
16-8y=44
Subtract 16 from both sides
-8y=44-16
-8y=28
Divide both sides by 8
y=-28/8
y=-7/2
=-3.5
Hence, the solution of the system of equations is (4, -3.5).
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For the figure shown on the right find M 1
Using the sum of the internal angles of a triangle and supplementary angles, it is found that the measure of angle 1 is of 121º.
What is the sum of the internal angles of a triangle?The sum of the three internal angles of a triangle is of 180º.
Hence, the measure of the remaining interior angle is given by:
60º + 61º + x = 180º
x = 59º.
What are supplementary angles?
Two angles are supplementary if the sum of their measures is of 180º.
An interior angle is supplementary with it's respective exterior angle, hence:
m<1 + 59º = 180º
m<1 = 121º.
The measure of angle 1 is of 121º.
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Two trees standing side by side in the sunlight one is 50 feet tall and the other is 20 feet tall if the taller tree casts a 18-foot shadow, what is the length in feet of the shadow of the shorter tree
Given:
Length of taller tree = 50 feet
Length of shorter tree = 20 feet
Length of shadow of taller tree = 18 feet
To find:
The length of shadow of shorter tree.
Solution:
Since, two trees standing side by side in the sunlight, therefore the length of trees are proportional to their shadows.
Let the length of shadow of shorter tree be x feet.
Using the given information, we get
[tex]\dfrac{50}{18}=\dfrac{20}{x}[/tex]
By cross multiplication, we get
[tex]50\times x=20\times 18[/tex]
[tex]50x=360[/tex]
[tex]x=\dfrac{360}{50}[/tex]
[tex]x=7.2[/tex]
Therefore, the length of shadow of shorter tree is 7.2 feet.
