Using the concept of probability, it is found that there is a 0.0592 = 5.92% probability that you get a total of 17 given on the first spin you spin a 2.
-------------------------------------
A probability is the number of desired outcomes divided by the number of total outcomes.Since you spin a 2 on the first trial, the probability desired is equivalent to the probability of finding a sum of 15 in the next two trials.-------------------------------------
In each trial, there are 13 possible outcomes(pockets numbered from 0 to 12), so the total number of outcomes is:
[tex]T = 13^2 = 169[/tex]
-------------------------------------
The desired outcomes are those who result in a sum of 15. Thus, they are:
(3,12), (4,11), (5,10), (6,9), (7,8), (8,7), (9,7), (10,5), (11,4), (12,3).That is, 10 desired outcomes, so [tex]D = 10[/tex].-------------------------------------
Thus, the probability is:
[tex]p = \frac{D}{T} = \frac{10}{169} = 0.0592[/tex]
0.0592 = 5.92% probability that you get a total of 17 given on the first spin you spin a 2.
A similar problem is given at https://brainly.com/question/21444373
Find the L.C.M. of: a2 + 2a +1, a? + 3a + 2
Step-by-step explanation:
sorrry .......................
Write the coefficient of x².
A coefficient is a numerical value that is multiplied with a variable.
Coefficient of x² is -3Write the expression in exponential form.
log . N = x
Answer:
N = x2
Step-by-step explanation:
Follpwing the format
Help im stuck! xoxo thanks! <3
Answer:
3. 60° is the correct answer.
4. 8
Step-by-step explanation:
3. sum of all the sides of a quadrilateral is 360°
hence,
2h+2h+h+h=360°
6h=360°
h=360°/6
h=60°
4. Sum of interior angle of a polygon with n sides is 1080. N=8 (octagon)
Hope this helps you. Have a nice day.^_^
Answer:
3)60°
4)8 sides
Step-by-step explanation:
3) 2h+2h+h+h=360°
6h=360°
6h/6=360°/6
h=60°
4)(n-2)180=1080°
n-2=1080°/180
n-2=6
n=8
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
1. How can a matrix be used to solve a system of equations? Demonstrate by solving the following system. Show your work. In other words, use a problem of system of equations problem as an example.
Answer:
Step-by-step explanation:
Assuming the system is solvable in the first place, create an augmented matrix of coefficients from the equations. Then put the matrix into reduced row echelon form.
Example is attached.
"Demonstrate by solving the following system."
You need to provide the system of equations.
Find the first six terms of the sequence.
a1=- 6, an= 4 • an-1
Answer:
I think it's 3
Step-by-step explanation:
because an=4 and the question is
an-1
=4-1
=3
A 5-ft ladder rests against the side of a house. The distance between the top of the ladder and the ground is 1 ft more than the distance between the base of the ladder and the bottom of the house. Find both distances.
Answer:
Step-by-step explanation:
base of ladder is x feet from house
top of ladder is x+1 feet from ground
By the Pythagorean Theorem,
x² + (x+1)² = 5²
x² + (x² + 2x + 1) = 25
2x² + 2x - 24 = 0
x = -4, 3
-4 is an extraneous solution, so x = 3 ft
base of ladder is 3 feet from house
top of ladder is 4 feet from ground
What is the Width of 6.36-9.24
Answer:
-2.88
Step-by-step explanation:
6.36-9.24= -2.88
Use the formul
a (a+b)2=a2+2ab+b2 to expand the (4x+3y)2
Answer:
[tex] {(4x + 3y)}^{2} \\ = {(4x)}^{2} + 2 \times 4x + 3y + {(3y)}^{2} \\ 16 {x}^{2} + 24xy + 9 {y}^{2} \\ thank \: you[/tex]
I’m so confused on this I need help thanks so much!
Answer:
2.5 or 5/2
Step-by-step explanation:
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other - in other words, separated by the crossing point of the lines and not by the lines themselves.
but that also means they are equal.
8x + 15 = 4x +25
4x = 10
x = 10/4 = 5/2 or 2.5
If 40 men working on a U.S. government project can complete the job in 100 hours, how many men would be required to complete the job in 80 hours?
Answer:50
Step-by-step explanation:(40x100):80
Answer: 50 workers
Let the ratio be
(40×100):80
= 400/80
= 50
Therefore 50 workers will complete the same work in 80 hours.
Must click thanks and mark brainliest
Consider the given statement: Not all rooms at the hotel have a bed.
For each statement below, decide whether it is a negation of the given statement.
A.) No room at the hotel has a bed YES/NO
B.) Some rooms at the hotel have a bed YES/NO
C.) Some rooms at the hotel do not have a bed YES/NO
D.) All rooms at the hotel have a bed YES/NO
Answer:
The negation is the OPPOSITE of whatever is said, so in this case, the opposite of "Not all rooms at the hotel have a bed." would be D "All rooms at the hotel have a bed" and A "No room at the hotel has a bed"
The correct answers are A and D
Let me know if this helps!
Answer:
a. no because it states that no rooms have a bed when it states not all rooms at the hotel have a bed
b. yes because while its true some rooms dont have a bed other rooms will
c. yes again some rooms do have a bed and some dont
d. no because we have already established that only some rooms have beds not all
hope this helps
Step-by-step explanation:
Find x. Round your answer to the nearest tenth of a degree.
Answer:
x = 55.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hypotenuse
cos x = 9/16
Taking the inverse cos of each side
cos^-1 (cos x) = cos^-1 (9/16)
x=55.77113
To the nearest tenth
x = 55.8
Answer:
Relative to x, the side of 16 is the hypotenuse, and the side of 9 is adjacent.
So we think, what trigonometric property relates hypotenuse and adjacent sides of a right triangle?
SOH CAH TOA
We can use the COSINE function to solve in this case, as we have both the ADJACENT SIDE (A) and the HYPOTENUSE (H).
Cosine = Adjacent/Hypotenuse
Cosine (x) = 9/16
Angle x = 55.8 degrees.
Let me know if this helps!
find the slope of a line perpendicular to each given line number 11
Answer:
Slope = 5
Step-by-step explanation:
To find the slope of a line perpendicular to a given line, take the opposite reciprocal of the given line's slope.
Ex. -1/5 ⇒ 5
Opposite = opposite sign (- ⇒ +)
Reciprocal = numerator and denominator flipped (1/5 ⇒ 5/1 = 5)
(15)(16)/a=(3)(4)(5)
Answer:
a = 4
Step-by-step explanation:
(15)(16)/ a = (3)(4)(5)
15 * 16 = 240
240/ a = (3)(4)(5)
240/a = 60
240/60 = a
a = 4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Give the domain and range.
x –2 0 2 y –1 0 1
a. domain: {2, 0, 2}, range: {1, 0, 1} b. domain: {–2, 0, 2}, range: {–1, 0, 1} c. domain: {–1, 0, 1}, range: {–2, 0, 2} d. domain: {1, 0, 1}, range: {2, 0, 2}
Answer:
B. domain {-2, 0, 2}, range {-1, 0, 1}
Step-by-step explanation:
The x values and y values as ordered pairs would be: (-2,-1), (0,0), (2,1)
The domain is the all of the values of x and the range is all the values of y.
solve the expression -|6+(-2)|+9
The simplification of the given expression -|6+(-2)|+9 is 5.
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Simplification usually involves making the expression simple and easy to use later.
Given expression;
-|6+(-2)|+9
Solve the modules;
-|4|+9 = 5
Thus, the simplification of the given expression is 5.
Learn more about simplification;
https://brainly.com/question/17579585
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A rectangular tank 4 feet long, 3 feet wide, and 5 feet deep is full of oil with weight density 50 lb ft 3 lbft3 . Calculate the work required to pump all of the oil out over the top of the tank.
The work required for the given task of pumping all of the oil out over the top of the tank is 7,500 ft·lb
The known parameters;
The length of the rectangular tank, l = 4 feet
The width of the tank, w = 2 feet
The depth of the tank, h = 5 feet
The weight density of the oil with which the tank is filled, ρ × g = 50 lb/ft³
The unknown parameter
The work required to pump all of the oil out over the top of the tank
Method;
Calculate the force required to lift each slice (layer) of the oil to the top multiplied by the distance, y, the slice moves and summing the result as an integration as follows;
The volume of each slice, [tex]\mathbf{V_i}[/tex] = l × w × dy
The force required to move each slice, [tex]\mathbf{F_i}[/tex] = ρ × g × l × w × dy
The work done, [tex]\mathbf{W_i}[/tex], in moving the slice a distance, y, is given as follows;
[tex]\mathbf{W_i}[/tex] = ρ × g × l × w × y × dy
Therefore, the total work done, W, in pumping all the water located from y = 0, to y = 5, to the top of the tank, is given as follows;
[tex]\mathbf{W = \int\limits^5_0 {(\rho \times g \times l \times w \times y) } \, dy}[/tex]
Therefore;
W = (ρ × g × l × w × y²)/2
Plugging in the values, gives;
W = (50 lb/ft³ × 4 ft. × 3 ft. × (5 ft.)²)/2 = 7,500 ft·lb
The work required to pump all of the oil out over the top of the tank, W = 7,500 ft·lb.
Learn more about the use of integration to calculate the amount of work required for a given task here;
https://brainly.com/question/14318035
A life insurance company wants to estimate its annual payouts. Assume that the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 4 years. By what age have 80% of the plan participants passed away?
Answer:
By 71 years of age 80% of the plan participants have passed away.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 68 years and a standard deviation of 4 years.
This means that [tex]\mu = 68, \sigma = 4[/tex]
By what age have 80% of the plan participants passed away?
By the 80th percentile of ages, which is X when Z has a p-value of 0.8, so X when Z = 0.84.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.84 = \frac{X - 68}{4}[/tex]
[tex]X - 68 = 4*0.84[/tex]
[tex]X = 71[/tex]
By 71 years of age 80% of the plan participants have passed away.
The profit earned by a hot dog stand is a linear function of the number of hot dogs sold. It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold. Which equation represents y, the profit earned by the hot dog stand for x hot dogs sold? y=48x−2 y=48x+2 y=2x−48 y=2x+48
Answer:
c. y=2x−48
Explanation:
It is telling us that it costs $48 each morning to buy the day's supply of hot dogs, so we must subtract that from our pay, and it will be our y intercept
It also says he earns $2 per hot dog, so that will be our slope (rate of change)
Hope it helps! :]
y = 2x - 48 equation represents the profit earned by the x hot dog sold.
What is linear equation?A linear equation is an algebraic expression in which highest power of the given variable is equals to one.
Given that, the profit earned by a hot dog stand is a linear function of the number of hot dogs sold.
It costs the owner $48 dollars each morning for the day’s supply of hot dogs, buns and mustard, but he earns $2 profit for each hot dog sold.
We need to establish an equation that represents the total profit,
According to the question,
x represents the number of hot dogs sold
y represents the total profit earned
Cost required for supply = $48
Profit on each hot dog sold = $2
As per the condition given, the required linear equation is =
y = 2x - 48
Hence, y = 2x - 48 equation represents the profit earned by the x hot dog sold.
Learn more about linear equation here :
brainly.com/question/11897796
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The length of a rectangle is five times its width.
2
If the area of the rectangle is 180 in find its perimeter.
Answer:
72
Step-by-step explanation:
l = 5w
A = l*w
180 = 5w *w
180 = 5w^2
Divide each side by 5
180/5 = 5w^2 /5
36 = w^2
Taking the square root of each side
sqrt(36) = sqrt(w)^2
6 =w
l = 5w = 5*6 = 30
The perimeter is
P = 2(l+w)
P = 2(6+30) = 2(36) = 72
Finding the sale price given the original price and percent...
The price of an item has been reduced by 10%. The original price was $99.
Use the ALEKS calculator to find the price of the item now.
W
x
3
?
At
Answer:
$89.1
Step-by-step explanation:
The original price is 99. The sale price is 99-99*(10/100)=89.1
This answer was confusing for sure
Answer:
heyy matee
we got equation
( sin Θ ) ^ 2 + ( cos Θ ) ^2 = 1
now look at beauty of ques
Θ = 180
and u must be knowing sin 180 = 0 and cos 180 = -1
so
(0)^2 + (-1)^2 = 2
and done we are done with ques
ans is option d
u must be thinking why not other values are same but this is thing we got in option d it is exact equation we got so i can give 90% guarantee
Find x
Pleasee! Help! Soon!
Answer: [tex]x = \frac{7\sqrt{6}}{2}\\\\[/tex]
==============================================================
Explanation:
Focus on the upper triangle. This is a 30-60-90 triangle. The short leg is 7 and the long leg is [tex]7\sqrt{3}[/tex]. The long leg is always sqrt(3) times that of the short leg (and this only works for 30-60-90 triangles).
In short, the horizontal length is [tex]7\sqrt{3}[/tex] units long.
Now move to the lower triangle. This is a 45-45-90 triangle with congruent legs (each are x units long). We just found the hypotenuse is [tex]7\sqrt{3}[/tex]
We can use the pythagorean theorem to say the following:
[tex]a^2 + b^2 = c^2\\\\x^2 + x^2 = (7*\sqrt{3})^2\\\\2x^2 = 147\\\\x^2 = \frac{147}{2}\\\\x = \sqrt{\frac{147}{2}}\\\\x = \frac{\sqrt{147}}{\sqrt{2}}\\\\x = \frac{\sqrt{147}*\sqrt{2}}{\sqrt{2}*\sqrt{2}}\\\\x = \frac{\sqrt{147}*\sqrt{2}}{2}\\\\x = \frac{\sqrt{147*2}}{2}\\\\x = \frac{\sqrt{294}}{2}\\\\x = \frac{\sqrt{49*6}}{2}\\\\x = \frac{\sqrt{49}*\sqrt{6}}{2}\\\\x = \frac{7\sqrt{6}}{2}\\\\[/tex]
0.6 reoccurring decimal as a fraction in the simplest term
Answer:
3/5
Step-by-step explanation:
here,
0.6
in fraction = 6/10
in simplest form 6/ 10 both term can be divided by 2 so,
6/10 ÷2
= 3/5
How can you add, subtract and multiply with decimals
Lets Take two decimals 1.01 and 2.32
Addition:-
[tex]\\ \sf\longmapsto 1.01+2.32[/tex]
[tex]\\ \sf\longmapsto \dfrac{101}{100}+\dfrac{232}{100}[/tex]
[tex]\\ \sf\longmapsto \dfrac{333}{100}[/tex]
[tex]\\ \sf\longmapsto 3.33[/tex]
Subtraction:-
[tex]\\ \sf\longmapsto 2.32-1.01[/tex]
[tex]\\ \sf\longmapsto \dfrac{232}{100}-\dfrac{101}{100}[/tex]
[tex]\\ \sf\longmapsto \dfrac{131}{100}[/tex]
[tex]\\ \sf\longmapsto 1.31[/tex]
Multiplication:-
[tex]\\ \sf\longmapsto 1.01\times 2.32[/tex]
[tex]\\ \sf\longmapsto \dfrac{101}{100}\times \dfrac{232}{100}[/tex]
[tex]\\ \sf\longmapsto \dfrac{23432}{10000}[/tex]
[tex]\\ \sf\longmapsto 2.3432[/tex]
6x + 7y = 4x + 4y
Complete the missing value in the solution to the equation.
( ?,-4)
Hi there!
»»————- ★ ————-««
I believe your answer is:
(6, -4)
[tex]x = 6[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
We would need to solve for 'x'. We are already given the 'y' value of '-4', so we would need to substitute y for '-4', and then undo operations to isolate 'x'.⸻⸻⸻⸻
[tex]\rightarrow 6x + 7(-4) =4x + 4(-4)\\\\\rightarrow 6x - 28 = 4x - 16\\\\\rightarrow 6x - 28 + 28 = 4x - 16 + 28\\\\\rightarrow 6x = 4x + 12\\\\\rightarrow 6x - 4x = 4x - 4x + 12\\\\\rightarrow 2x = 12\\\\\rightarrow \frac{2x=12}{2}\\\\\rightarrow \boxed{x = 6}[/tex]
⸻⸻⸻⸻
The '6' would replace the question mark.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
At the beginning of a basketball season, the Spartans won 35 games out of 98 games. At this rate, how many games will they win in a normal 116 game season?
the line in the same plane which do not interest Each Other are called ________ lines
parallel lines or skew lines
Parallel lines are in Same plane or Coplanar but donot intersect each other.Skew lines lie in same plane but don't intersect each other.
Ginny and her classmates formed a study group. The number of girls in the study group was 3 more than twice the number
of boys. There were 11 girls in the study group. How many boys were in the study group?
Answer:
I think the answer is 4 boys
Step-by-step explanation:
Let the no of boys be y.
No. of girls = 11
= 3 + 2y (equation)
3 + 2y = 11
3 - 3 + 2y = 11 - 3
2y = 8
2y/2 = 8/2
y = 4
Boys = 4
