small cones = 22
large cones = 34
hope it reall helps...
Lynne is rolling a six-sided number cube repeatedly. Her goal is to roll an even number 23 times. How many times should Lynne expect to have to roll the number cube to result in an even number 23 times? Enter your answer in the box to correctly complete the statement
Using the binomial distribution, it is found that she should expect to roll the number cube 46 times.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected number of trials until q successes is:
[tex]E_s(X) = \frac{q}{p}[/tex]
In this problem:
She wants 23 successes, hence q = 23.Of the six numbers on the cube, three are even, hence the probability of a success on a trial is of p = 3/6 = 0.5.Then:
[tex]E_s(X) = \frac{23}{0.5} = 46[/tex]
She should expect to roll the number cube 46 times.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Answer:
answer is 46.
Step-by-step explanation:
5x + (-x) - 1 = 11 - 2x
Answer:
x = 2
Step-by-step explanation:
5x + (- x) - 1 = 11 - 2x , that is
5x - x - 1 = 11 - 2x
4x - 1 = 11 - 2x ( add 2x to both sides )
6x - 1 = 11 ( add 1 to both sides )
6x = 12 ( divide both sides by 6 )
x = 2
Answer:
The value of x is 2
Step-by-step explanation:
=> 5x + (-x) - 1 = 11 - 2x
=> 5x -x -1 = 11 - 2x
=> 4x - 1 = 11 - 2x
=> 4x+2x = 11+1
=> 6x = 12
=> x = 12/6
=> x = 2
What is the length of MN ?
M
3X
X + 8
634
N
O A. 12
OB. 8
OC. 4
O D. 16
Answer:
A. 12
Step-by-step explanation:
Using the Law of Sines,
sinA / a = sinB / bHere,
A = 63°a = x + 8B = 63°b = 3xSolving :
sin63°/x + 8 = sin63°/3xx + 8 = 3x2x = 8x = 4Finding MN :
MN = x + 8MN = 4 + 8MN = 12Raylan opened a savings account with $100. After 5 years there is $122. 50 in the account. What is his simple interest rate?
4.5% annually
Step-by-step explanation:Simple interest is the amount of interest added to a singular sum of money at a fixed rate.
Formula
The formula for simple interest is A = P(1+rt). In this formula, A is the total amount of money in the account, P is the original amount deposited, r is the rate of interest as a decimal, and t is the time in years.
Calculations
To find the rate, plug the information we know into the formula above
122.50 = 100(1+r*5)Divide both sides by 100
1.225 = 1 + r*5Subtract 1 from both sides
0.225 = r*5Divide both sides by 5
0.045 = rThis gives us the rate as a decimal. So, to find the rate as a percent. Do this by moving the decimal 2 places to the right (or just multiply by 100, they do the same thing). This means that the rate of simple interest is 4.5%.
HURRY 70 POINTS!! solve the system using substitution. show all work. {4x + 5y = 7 {y = 3x - 10
Answer:
(3, -1)
Step-by-step explanation:
Given
4x + 5y = 7y = 3x - 10Subbing the value of y
4x + 5(3x - 10) = 74x + 15x - 50 = 719x = 57x = 3y = 3(3) - 10y = 9 - 10y = -1Solution is (3, -1)Answer:
x = 3y = -1Solution: (3, -1)
Step-by-step explanation:Given equations:
[tex]4x + 5y = 7[/tex][tex]y = 3x - 10[/tex]Step-1: Reorganize the equations with "y" on the L.H.S
[tex]\rightarrow \left \{ {{4x + 5y = 7} \atop {y = 3x - 10}} \right.[/tex]
[tex]\rightarrow \left \{ {{5y = 7 - 4x} \atop {y = 3x - 10}} \right.[/tex]
[tex]\rightarrow \left \{ {{5y = 7 - 4x} \atop y =-10 + 3x}} \right.[/tex]
Step-2: Make the x-variables the same on both equations
[tex]\rightarrow \left \{ {{3(5y = 7 - 4x)} \atop 4(y =-10 + 3x)}} \right.[/tex]
[tex]\rightarrow \left \{ {{15y = 21 - 12x} \atop 4y =-40 + 12x}} \right.[/tex]
Step-3: Add the equations
[tex]\rightarrow (15y + 4y) = (21 - 40) + (-12x + 12x)[/tex]
[tex]\rightarrow 19y = -19[/tex]
Step-4: Divide both sides by 19
[tex]\rightarrow \dfrac{19y}{19} = \dfrac{-19}{19}[/tex]
[tex]\rightarrow y = -1[/tex]
Step-5: Substitute the value of y into any equation
[tex]\rightarrow y = 3x - 10[/tex]
[tex]\rightarrow -1 = 3x - 10[/tex]
Step-6: Simplify the equation
[tex]\rightarrow -1 + 10 = 3x[/tex]
[tex]\rightarrow9= 3x[/tex]
Step-7: Divide 3 both sides
[tex]\rightarrow \dfrac{9}{3} = \dfrac{3x}{3}[/tex]
[tex]\rightarrow x = 3[/tex]
(Optional) Step-8: Convert the solution(s) into (x, y) form
[tex]\rightarrow (x, y) \rightarrow (x = 3; y=-1) \rightarrow (3,-1)[/tex]
Thus, the value of x and y is 3 and -1. The solution is (3, -1).
38. On a recent shopping trip, you see a sale advertising 3 pairs of socks and 2 pairs of shoes for $60. Write an equation using x to represent the cost of socks and to represent the cost of shots.
2x + 3y = 60
3x + 2y =60
20x + 30 =60
30x 20y=60
What is the difference of the polynomials? (8r6s3 – 9r5s4 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4) 6r6s3 – 4r5s4 7r4s5 6r6s3 – 13r5s4 – r4s5 8r6s3 – 5r5s4 r4s5 5r3s6 8r6s3 – 13r5s4 r4s5 – 5r3s6
The difference between the polynomials (8r⁶s³ - 9r⁵s⁴+3r⁴s⁵) - (2r⁴s⁵ -5r³s⁶ - 4r⁵s⁴) is (8r⁶s³ - 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶).
What are polynomial?Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.
The difference between the two polynomials can be solved as,
[tex](8r^6s^3 - 9r^5s^4+3r^4s^5) - (2r^4s^5 -5r^3s^6 - 4r^5s^4) \\\\= 8r^6s^3 - 9r^5s^4+3r^4s^5 - 2r^4s^5 +5r^3s^6 + 4r^5s^4\\\\= 8r^6s^3 - 5r^5s^4+r^4s^5 +5r^3s^6[/tex]
Thus, the difference between the polynomials (8r⁶s³ - 9r⁵s⁴+3r⁴s⁵) - (2r⁴s⁵ -5r³s⁶ - 4r⁵s⁴) is (8r⁶s³ - 5r⁵s⁴ + r⁴s⁵ + 5r³s⁶).
Learn more about Polynomial:
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Answer: 1 in = 3.6 ft
Step-by-step explanation:
The small car is a model of the large car. The small car is 5 inches long while the large car is 18 feet long.
We currently have a ratio of: [tex]\frac{18 ft}{5 in}[/tex]
We need to get either the 18 or the 5 to one single unit.
18 ft : 5 in
Divide both sides by 5 to isolate 1 inch.
[tex]\frac{18}{5}[/tex] ft : [tex]\frac{5}{5}[/tex] in
Simplify.
3.6 ft : 1 in
We found that the ratio of the scale model is 1 inch of the model is equal to 3.6 ft of the real car.
Therefore, 3.6 ft = 1 in, which is equivalent to 1 in = 3.6ft
1. What is the sine ratio of ∠C?
A. 5/13
B. 5/12
C. 12/13
D. 13/12
2. What is the cos ratio for ∠C?
A. 8/10
B. 10/6
C. 10/6
D. 6/10
Answer:
1. Sine ratio of angle ∠C = 12/13
2. cos ratio for ∠C = 6/10
Step-by-step explanation:
1. sin = perpendicular /hypotuse
=> 12/13
2. cos = base / hypotuse
=> 6/10
Ella said that if she knows the lengths of just two sides of any triangle,
then she can find the length of the third side by using the Pythagorean
Theorem. Is Ella correct? Explain. Lesson 7-1
Answer:
Yes
Step-by-step explanation:
Pythagorean theorem is a^2+b^2 = c^2 where each letter is a side of a triangle. If you know 2 sides then there is only 1 unknown and 1 equation so you can easily find the third side by solving the equation.
PLEASE I NEED THIS NOW!! Please
Which of the following is a third root of the given complex number?
JE
27| COS
2700
+ i sin
5
5
Check all that apply.
O
A. 27| cos
1 172
15
+ i sin
1117
15
872
8z
B. 3COS
15
isin
15
117
O C. 3 cos
+ i sin
1 177
15
15
().-()
Hisin
3
O D. 3
+ i sin
JC
15
15
Suppose that r (cos(θ) + i sin(θ)) is a third root of 27 (cos(π/5) + i sin(π/5)), i.e.
[r (cos(θ) + i sin(θ))]³ = 27 (cos(π/5) + i sin(π/5))
Expand the left side using de Moivre's theorem:
r³ (cos(3θ) + i sin(3θ)) = 27 (cos(π/5) + i sin(π/5))
Matching up real and imaginary parts, we have
r³ cos(3θ) = 27 cos(π/5)
r³ sin(3θ) = 27 sin(π/5)
Right away we see that r³ = 27 ⇒ r = 3, which eliminates A.
We also have
(r³ sin(3θ)) / (r³ cos(3θ)) = (27 sin(π/5)) / (27 cos(π/5))
tan(3θ) = tan(π/5)
3θ = tan⁻¹(tan(π/5))
3θ = π/5 + nπ
(where n is an integer)
θ = π/15 + nπ/3
Now,
• n = 0 ⇒ θ = π/15 ⇒ D is a third root
• n = 1 ⇒ θ = π/15 + π/3 = 2π/5
• n = 2 ⇒ θ = π/15 + 2π/3 = 11π/15 ⇒ C is a third root
Which of the following is an odd function? f(x) = 3x2 x f(x) = 4x3 7 f(x) = 5x2 9 f(x) = 6x3 2x
If the condition f(-x) = -f(x) is satisfy then the function is an odd function. Then the odd function is f(x) = 6x³ + 2x.
What is an odd function?Odd Function - A true function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.
The equation should be stored in an odd function:
f(-x) = -f(x)
Then the functions are given below.
f(x) = 3x² + x
f(x) = 4x³ + 7
f(x) = 5x² + 9
f(x) = 6x³ + 2x
Then replace x with the negative x, then we have
f(x) = 3(-x)² + (-x) = 3x² - x =
f(x) = 4(-x)³ + 7 = -4x³ + 7
f(x) = 5(-x)² + 9 = 5x² + 9
f(x) = 6(-x)³ + 2(-x) = -6x³ - 2x = - (6x³ + 2x)
More about the odd function link is given below.
https://brainly.com/question/14264818
Answer: D
Step-by-step explanation:
Which of the following ordered pairs are a solution for the equation y=2x−5 (2, 0)(-1, -7)(-9, -2)(1, 3)
Answer:
(- 1, - 7 )
Step-by-step explanation:
substitute the x- coordinate into the equation and if the value obtained is equal to the y- coordinate, then it is a solution
(2, 0 ) → y = 2(2) - 5 = 4 - 5 = - 1 ≠ 0 ← not a solution
(- 1, - 7 ) → y = 2(- 1) - 5 = - 2 - 5 = - 7 → solution to equation
(- 9, - 2 ) → y = 2(- 9) - 5 = - 18 - 5 = - 23 ≠ 2 ← not a solution
(1, 3 ) → y = 2(1) - 5 = 2 - 5 = - 3 ≠ 3 ← not a solution
Using a normal deck of cards, Jessica draws one card, and then without replacing the first card, draws a second card.
Find the Probability:
P(Jack then Queen)
Answer:
not answered this question
Please answer ASAP. Suppose we write down the smallest (positive) 2-digit, 3-digit, and 4-digit multiples of 8.
What is the sum of these three numbers?
Answer:
16, 104, 1000
Step-by-step explanation:
8*2
8*13
8*125
Answer:
1,120
Step-by-step explanation:
We start off the multiples of 8 with 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104
The smallest positive 2 digit multiple is 16
The smallest 3 digit multiple is 104
We know 8 x 100 = 800, so we are still in 3 digits
Now we try 8 X 110 = 880
Now let's try 8 x 120 = 960
Now, 8 x 125 = 1,000 which is the smallest 4 digit number we can get
16 + 104 + 1000 = 1,120
What is the Cube root of 125x^12?
5x2
5x4
25x2
25x4
Answer:5x^4
Step-by-step explanation: Simplify the radical by breaking the radicand up into a product of known factors, assuming real numbers
Uche pumps gasoline at a rate of 16 / min. What is Uche’s pumping rate in / s?
Answer:
266.66mL/s
Step-by-step explanation:
You have:
[tex] \frac{16}{1} \frac{liters}{minute} [/tex]
You can use the conversion factors to convert liters to milliliters, and minutes to seconds:
1L = 1000mL
1 min = 60 sec
Therefore:
[tex] \frac{16}{1} \frac{liters}{minute} \times \frac{1000}{1} \frac{mililiters}{liter} \times \frac{1}{60} \frac{minute}{seconds} [/tex]
Liters cancel and minutes cancel. The units of mL per second is all that remains:
[tex] \frac{16 \times 1000}{60} \frac{mililiters}{second} = 266.66 \frac{ml}{s} [/tex]
Lance, Rachael, and Jamie are playing catch. Lance throws the ball to Rachael, Rachael to Jamie, and Jamie back to Lance. The angle formed at Rachael's position measures 90°. The distance from Lance to Rachael is 45 feet, and the angle formed at Lance's position measures 55°. Lance is trying to determine the other measures created by their positions. Give each measurement rounded to the nearest thousandth of afoot. The angle formed at Jamie's position measures degrees.
Answer:
35°
64.267 ft
78.455 ft
Step-by-step explanation:
The given situation can be modeled as a right triangle (see attached).
The interior angles of a triangle sum to 180°
⇒ angle at Jamie's position = 180° - 90° - 55° = 35°
To find the other measures (distances), we can use trig ratios.
[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleH is the hypotenuseTo find the distance from Rachael to Jamie:
[tex]\implies \sf \tan(55^{\circ})=\dfrac{x}{45}[/tex]
[tex]\implies \sf x=45\tan(55^{\circ})[/tex]
[tex]\implies \sf x=64.267\:ft\:(nearest\:thousandth)[/tex]
To find the distance from Lance to Jamie:
[tex]\sf \implies \cos(55^{\circ})=\dfrac{45}{y}[/tex]
[tex]\sf \implies y=\dfrac{45}{\cos(55^{\circ})}[/tex]
[tex]\sf \implies y=78.455\:ft\:(nearest\:thousandth)[/tex]
Round 4 3/8 to the nearest whole number
A.3
B.4
C.5
D.6
Answer:
B
Step-by-step explanation:
It 4 3/8 is 4.375 which would round down
What is the product of 3a 5 and 2a2 4a – 2? 6a3 22a2 14a – 10 6a3 22a2 26a –10 18a3 10a2 14a – 10 28a3 14a – 10
The product of 3a + 5 and 2a2 + 4a – 2 is [tex]\rm 6a^3+22a^2+14a-10\\[/tex], the correct option is A.
What is the product of two algebraic expressions?When two algebraic expressions are multiplied, the result is called the product, and the two expressions making up the product are called factors and multiplicands.
The multiplication of two algebraic equations can be expressed as a × b.
The product of 3a + 5 and 2a2 + 4a – 2 is determined in the following steps given below.
[tex]\rm =(3a + 5) \times( 2a^2 + 4a -2)\\\\= 3a ( 2a^2 + 4a -2) +5( 2a^2 + 4a -2)\\\\ =6a^3+12a^2-6a+10a^2+20a-10\\\\=6a^3+22a^2+14a-10\\[/tex]
Hence, the product of 3a + 5 and 2a2 + 4a – 2 is [tex]\rm 6a^3+22a^2+14a-10\\[/tex].
To know more about multiplication click the link given below.
https://brainly.com/question/14059007
Answer:
A. 6a^3 + 22a^2 + 14a - 10
Step-by-step explanation:
Ed22
The sandwich shop sold 6 ham sandwiches. They sold twice as many turkey sandwiches as ham sandwiches. They sold 4 fewer tuna sandwiches than turkey. How many sandwiches did they sell?
Answer:
Step-by-step explanation:
he cafeteria sold 6 more turkey sandwiches than ham sandwiches. They sold 52 sandwiches in all
Find the sum of (–4 + i) and (10 – 5i).
When we work with complex numbers:
⇒ we add all the like terms
⇒ terms with 'i' add with terms that have an 'i' ⇒ [tex]i -5i=-4i[/tex]
⇒ constants add with constants ⇒ [tex]-4+10=6[/tex]
Let's find the sum now:
[tex](-4+i)+(10-5i)=-4+10 +(i-5i)=6-4i[/tex]
Answer: The sum of (-4+ i) and (10 - 5i) is 6 - 4i
Hope that helps!
Answer:
C on edge
Step-by-step explanation:
Please Help me Asap
Rob's first four test scores are 80, 85, 100, and 85. What does he have to score on the last test in order to have a test average of 90?
options:
90
100
10
95
Answer:
100
Step-by-step explanation:
Given Average After writing a last test=90
let the last test score be x
Now given
[tex] \frac{80 + 85 + 100 + 85 + x}{5} = 90[/tex]
[tex]80 + 85 + 100 + 85 + x = 450[/tex]
[tex]x + 350 = 450[/tex]
[tex]x = 100[/tex]
I hope it helped you
How many milliliters are in 5.25 liters?
Answer: 5250 milliliters
Step-by-step explanation:
i hope this will be helpful
Michelle gets her hair done every 8 weeks and Zuri gets hers done every 5 weeks. If they both got their hair done today, in how many weeks would they both get their hair done again on the same day?
The number of weeks when both Michelle and Zuri would both have their hair done again on the same day is 6 weeks.
When would they both have their hair done?In order to determine when they would both have their hair done on the same day, the common multiple of 8 and 5 has to be determined.
A multiple of a number is the product of an integer and that number.
Multiple of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
Multiple of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Common multiple = 40
Number of weeks = 40 / 7 = 5.71 = 6 weeks
To learn more about multiples, please check: https://brainly.com/question/26030133
What type of triangle can u form with 4.5cm,6cm, and 8.5cm
scalene triangle
hope it helps...
Answer:
down below - hope this helped :)
Step-by-step explanation:
you can make a scalene traingle with these mesurements
since none of the sides are equal :)
What kind of expression is this?
Answer:
the third one hope it helps:)
What number should be added to both sides of the equation to complete the square?
x2 - 6x = 5
Answer:
9
Step-by-step explanation:
The given equation is:
[tex]x^{2}[/tex] - 6[tex]x[/tex] = 5
To complete the square you have to add one number to both sides of the equation.
First, divide the coefficient of the term x by 2 and square the result. This number should then be added to both sides of the equation.
For the equation [tex]x^{2}[/tex] - 6[tex]x[/tex] = 5 the coefficient of the term x is -6.
(6 ÷ 2)² = 9
So you'll add 9 to both sides of the equation.
[tex]x^{2}[/tex] - 6[tex]x[/tex] (+ 9) = 5 (+ 9)
↓
[tex]x^{2}[/tex] - 6[tex]x[/tex] + 9 = 14
This can also be written as:
([tex]x[/tex] - 3)² = 14
anybody know how I can get better at algebra 1, because I'm struggling
Answer:
My suggestions could be to;
→ Study
→ Ask for help to the teacher
→ Ask for help to your parents
→ Ask for help to your older siblings
→ Ask your parents to get a tutor for you
→ Pray to our lord and savior Jesus Christ to help you succeed algebra 1
Step-by-step explanation:
Hope this helped! :^)
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NEED HELP ASAP!! GIVING BRAINLIEST TO BEST ANSWER FOR THESE 2 QUESTIONS! PLS HELPPPPPP
Answer:
9) [tex]\\\frac{14}{16}[/tex]
10) [tex]28\frac{5}{8}[/tex]
Step-by-step explanation:
9)
[tex]1\frac{3}{4}[/tex] you change by multiplying 1 * 3 (the numerator) and adding 4 (the denaminator), putting the result (7) to the numerator and keeping the denaminator (4) = [tex]\frac{7}{4}[/tex]
[tex]\frac{7}{4} * \frac{2}{4} = \frac{14}{16}[/tex]
10) 7*4 = 28
so [tex]28\frac{5}{8}[/tex]