Answer:
Probability that one type of candy will be chosen more than once in 10 trials = 0.2639
Step-by-step explanation:
This is a binomial experiment because
- A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.
- It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure. (10 trials, with the outcome of each trial being that we get the required candy or not)
- The outcome of each trial/run of a binomial experiment is independent of one another.
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = 10 trials
x = Number of successes required = number of times we want to pick a particular brand of candy = more than once, that is > 1
p = probability of success = probability of picking a particular brand of candy from a bulk with 10 different types of candies = (1/10) = 0.10
q = probability of failure = Probability of not picking our wanted candy = 1 - p = 1 - 0.1 = 0.90
P(X > 1) = 1 - P(X ≤ 1)
P(X ≤ 1) = P(X = 0) + P(X = 1)
P(X = 0) = ¹⁰C₀ (0.10)⁰ (0.90)¹⁰⁻⁰ = 0.3486784401
P(X = 1) = ¹⁰C₁ (0.10)¹ (0.90)¹⁰⁻¹ = 0.387420489
P(X ≤ 1) = 0.3486784401 + 0.387420489 = 0.7360989291
P(X > 1) = 1 - 0.7360989291 = 0.2639010709 = 0.2639
Hope this Helps!!!
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2,−3) B(4,−3) C(4,5) D(2,5) What is the perimeter of rectangle ABCD? please answer URGENT! :)
Answer:
21 unit square
Step-by-step explanation:
First you want to find the length and width of the rectangle using the distance formula:
d=√(x2-x1)²+(y2-y1)²
AB=√(6-3)²+ (-2 - -2)²
AB=√3² + 0
AB=√9
AB=3
BC=√(6-6)²+ (5 - -2)²
BC=√0 + 7²
BC=√49
BC=7
We can find the area by multiplying these two distances together:
A=(3)(7)
A=21 units square.
Hope it helped...... And plz mark BRAINLIEST
Tysm
Marta is solving the equation x2+x=3 by completing the square what number should be added to both sides of the equation to complete the square?
Answer:
C = 1/4
Step-by-step explanation:
When solving a quadratic equation, there are steps to follow and I'll highlight them here.
Assuming we have an equation
ax² + bx + c = 0
Step 1
If a is not equal to 1, divide all through by a
x² + bx + c = 0
Take c to the other side of the equation
x² + bx = c
Step 2
Add (b/2)² to both sides of the equation
x² + bx + (b/2)² = c + (b/2)²
In our original question,
We had x² + x = 3
a = 1 , b = 1 c = 3
Using step two, we would have
(b / 2)² = (½)² = ¼ (which is the answer)
Now back to the steps
Step 3
We factor our left side of the equation so as to have a perfect square
[x + (b/2)]² = c + (b/2)²
Step 4
Take the square root of both sides of the equation and solve for x
x + b/2 = ±√[c + (b/2)²]
The answer to the question is ¼
Answer:
1/4
Step-by-step explanation:
Help it’s urgent please
Answer:
[tex] \frac{5 {x}^{2} + 20xy + 20 {y}^{2} }{x ^{2} - xy - {6y}^{2} } [/tex]
To simplify first factorize both the numerator and the denominator
For the numerator
5x² + 20xy + 20y²
Factor 5 out
5 ( x² + 4xy + 4y²)
Using a² + 2ab + b² = ( a + b)²
The numerator is
5( x + 2y)²
For the denominator
x² - xy - 6y²
Rewrite -xy as a difference
x² + 2xy - 3xy - 6y²
Factorize
We have the denominator as
( x + 2y)( x - 3y)
So we now have
[tex] \frac{5(x + 2y)(x + 2y)}{(x + 2y)(x - 3y)} [/tex]Simplify
[tex] \frac{5(x + 2y)}{x - 3y} [/tex]We have the final answer as
[tex] \frac{5x + 10y}{x - 3y} [/tex]Hope this helps you
A. 60
B. 15
C. 120
D. 6
Answer:
C. 120
Step-by-step explanation:
The figure shows that angles BEC and KEC are congruent. Their measures are equal.
m<KEC = m<BEC
10x = 6x + 24
4x = 24
x = 6
m<BEK = 2m<KEC
m<BEK = 2 * 10x
m<BEK = 2 * (10)(6)
m<BEK = 2 * 60
m<BEK = 120
26. A positive whole number is called stable if at least one of its digits has the same value
as its position in the number. For example, 78247 is stable because a
the 4th position. How many stable 3-digit numbers are there?
appears in
Answer:
OneStep-by-step explanation:
Given the value 78247 a s a stable number because at least one of its digits has the same value as its position in the number. The 4th number in the value is 4, this makes the number a stable number.
The following are the 3-digits stable numbers that appears in 78247
The first number is 824. This digits are stable numbers because 2 as a number is situated in the same place as the number (2nd position).
Hence, there are only 1 stable 3-digit numbers in the value 78247 since only a value exists as 2 in the value and there is no 1 and 3 in the value.
Find the area of the shape shown below. I NEED HELP NOWWWWWW
Answer:
12.5 units[tex] {}^{2} [/tex]Step-by-step explanation:
Given figure : Trapezoid
Base sides,
a = 2.5
b = 7.5
Height ( h ) = 2.5
Now, finding the area:
[tex] \frac{1}{2} (a + b) \times h[/tex]
Plug the values
[tex] = \frac{1}{2 } \times (2.5 + 7.5) \times 2.5[/tex]
Calculate the sum
[tex] = \frac{1}{2} \times 10 \times 2.5[/tex]
Reduce the numbers with G.C.F 2
[tex] = 5 \times 2.5[/tex]
Calculate the product
[tex]12.5 \: \: {units}^{2} [/tex]
Hope this helps...
Best regards!
please help :) What is 96,989,200 written in scientific notation? A. 96.9892 × 10 to the 5 power B. 9.69892 × 10 to the 7 power C. 9.69892 × 10 to the 6 power D. 9.69892 × 10 to the 8 power
Answer: B. 9.69892 × 10^7
You'd have to move the imaginary decimal at the end of the number 96,989,200 seven times in order to get only one number that isn't zero before the decimal point.
Look at picture to see question
For one of the quadrilaterals: the corner are not the right angles, the quadrilateral has rotational symmetry of order 2 and the diagonals cross at the right angles. Write down the name of this quadrilateral
Answer:
Rhombus.
Step-by-step explanation:
A rhombus is a quadrilateral, meaning that it has four lateral sides. A Rhombus is a 2-dimensional shape, and has two lines of symmetry. A Rhombus has a rotational symmetry of order two, and the opposite sides are parallel. Also, the opposite angles in Rhombus are equal. Th diagonals of a Rhombus bisect each other at a right angle.
Other quadrilateral shapes includes the Rectangle, Parallelogram, and the Kite.
Dave, Kurt, and Chris buy 3 different shirts. In how many selections can they distribute the shirts equally among themselves?
Answer:
Hence the number of ways they can distribute the shirt among themselves is 6 waysStep-by-step explanation:
This problem can be solved by applying the permutation strategy since it has to do with the number of ways of selection
Given
Number of items= 3
Therefore 3!= 3*2*1= 6
Hence the number of ways they can distribute the shirt among themselves is 6 ways
Two numbers are 10 units away in different directions
from their midpoint, m, on a number line. The product of
the numbers is -99.
Which equation can be used to find m, the midpoint of
the two numbers?
(m - 5)(m + 5) = 99
0 (m - 10)(m + 10) = 99
Om2 - 25 = -99
om? - 100 = -99
Will give brainliest
Answer:
m² - 100 = -99
Step-by-step explanation:
Two numbers are 10 units away from the midpoint m in different directions.
So, one number is (m + 10 ) away form 'm' and another is ( m + 10) away from 'm' in opposite direction.
(m + 10) ( m-10) = -99
m² - 10² = -99
m² - 100 = -99
Help please!!!!!!!I don’t know this! Tyy
====================================================
Explanation:
Each cube has a side length of 4. Placed together like this, the total horizontal side combines to 4+8 = 8. This is the segment HP as shown in the diagram below. I've also added point Q to form triangle HPQ. This is a right triangle so we can find the hypotenuse QH
Use the pythagorean theorem to find QH
a^2 + b^2 = c^2
(HP)^2 + (PQ)^2 = (QH)^2
8^2 + 4^2 = (QH)^2
(QH)^2 = 64 + 16
(QH)^2 = 80
QH = sqrt(80)
Now we use segment QH to find the length of segment EH. Focus on triangle HQE, which is also a right triangle (right angle at point Q). Use the pythagorean theorem again
a^2 + b^2 = c^2
(QH)^2 + (QE)^2 = (EH)^2
(EH)^2 = (QH)^2 + (QE)^2
(EH)^2 = (sqrt(80))^2 + (4)^2
(EH)^2 = 80 + 16
(EH)^2 = 96
EH = sqrt(96)
EH = sqrt(16*6)
EH = sqrt(16)*sqrt(6)
EH = 4*sqrt(6), showing the answer is choice C
-------------------------
A shortcut is to use the space diagonal formula. As the name suggests, a space diagonal is one that goes through the solid space (rather than stay entirely on a single face; which you could possibly refer to as a planar diagonal or face diagonal).
The space diagonal formula is
d = sqrt(a^2+b^2+c^2)
which is effectively the 3D version of the pythagorean theorem, or a variant of such.
We have a = HP = 8, b = PQ = 4, and c = QE = 4 which leads to...
d = sqrt(a^2+b^2+c^2)
d = sqrt(8^2+4^2+4^2)
d = sqrt(96)
d = sqrt(16*6)
d = sqrt(16)*sqrt(6)
d = 4*sqrt(6), we get the same answer as before
The space diagonal formula being "pythagorean" in nature isn't a coincidence. Repeated uses of the pythagorean theorem is exactly why this is.
When using a calorimeter, the initial temperature of a metal is 70.4C. The initial temperature of the water is 23.6C. At the end of the experiment, the final equilibrium temperature of the water is 29.8C. What is the final temperature of the metal? C What is the temperature change of the water? C What is the temperature change of the metal? C
Answer:
29.8C6.2C-40.6CStep-by-step explanation:
a) "Equilibrium" means the final temperatures of everything in the calorimeter are the same. The final temperature of the metal is the same as that of the water: 29.8C.
__
b) The temperature change of the water is ...
final temp - initial temp = 29.8C -23.6C = 6.2C
__
c) The temperature change of the metal is ...
final temp - initial temp = 29.8C -70.4C = -40.6C
Answer:
29.8C
6.2C
-40.6C
Step-by-step explanation:
Factor this polynomial.
-3x^2– 5x-2
Answer:
[tex]-(3x+2)(x+1)[/tex]
Step-by-step explanation:
So we have the polynomial:
[tex]-3x^2-5x-2\\=-(3x^2+5x+2)[/tex]
(I moved the negative to the outside. This is optional, but it makes things cleaner and you will have to do it eventually.)
This is a quadratic. To factor this, we need to find two numbers p and q such that:
[tex]p\cdot q=ac\\p+q=b[/tex]
From there, we can substitute these numbers in for b.
From the quadratic, a=3, b=5, and c=2. We ignore the negative sign.
In other words, ac=6 and b=5.
After guessing and checking, two numbers that work are 3 and 2 since 3(2)=6 ad 3+2=5. We substitute these values in for b. So:
[tex]-(3x^2+5x+2)\\-(3x^2+3x+2x+2)\\=-(3x(x+1)+2(x+1))\\=-(3x+2)(x+1)[/tex]
Please answer it now in two minutes
Answer:
[tex] f = 10.7 [/tex]
Step-by-step explanation:
Given ∆DEF,
<F = 36°
DF = e = 15
EF = d = 6
DE = f = ?
f can be found using the Law of Cosine as shown below:
[tex] f^2 = d^2 + e^2 - 2(d)(e)*cos(F) [/tex]
Plug in your values:
[tex] f^2 = 6^2 + 15^2 - 2(6)(15)*cos(36) [/tex]
Evaluate:
[tex] f^2 = 36 + 225 - 180*0.809 [/tex]
[tex] f^2 = 261 - 145.62 [/tex]
[tex] f^2 = 115.38 [/tex]
[tex] f = 10.74 [/tex]
[tex] f = 10.7 [/tex] (to nearest tenth)
Write 4x2 + 16x - 9 in vertex form. Write 5x2 - 10x + 4 in vertex form.
Hi king,
Write [tex]4x^{2} + 16x - 9[/tex] in vertex form:
f(x)=[tex]4x^{2} + 16x - 9[/tex]
f(x)=[tex]4(x+2)^{2} -25[/tex]
Write [tex]5x^{2} - 10x + 4[/tex] in vertex form:
g(x)=[tex]5x^{2} - 10x + 4[/tex]
g(x)=[tex]5(x-1)^{2} -1[/tex]
Have a great day.
from the figure below identify a)Obtuse vertically opposite angles b) A pair of adjacent complementary angles c) a pair of equal supplementary angles d) a pair of unequal supplementary angles e) a pair of adjacent angles that don’t form a linear pair
Answer:
a) BOC and AOD
b) BOA and AOE
c) BOE and EOD
d) BOA and AOD
e) AOE and EOD
Step-by-step explanation:
An obtuse angle is an angle that has more than 90° and vertically opposite angles are angle formed by two lines crossed. So, Obtuse vertically opposite angles are BOC and AOD
Adjacent angles are angles in which one angle is beside the other and complementary angles are angles whose sum is equal to 90°, so, a pair of adjacent complementary angles are BOA and AOE.
Supplementary angles are angles whose sum is equal to 180°, so BOE and EOD are equal suplementary angles and BOA and AOD are unequal supplementary angles
Finally, AOE and EOD are adjacent angles that don’t form a linear pair.
What is the relationship between the sine and cosine of complementary angles? a They are the same. b They are reciprocals. c There is no relationship d They equal 0.
Answer:
A. They are the same.
Step-by-step explanation:
The sine of any acute angle is equal to its cosine.
Solve the inequality 47.75 + x Less-than-or-equal-to 50 to determine how much more weight can be added to Li’s suitcase without going over the 50-pound limit. What is the solution set?
x Less-than-or-equal-to 2.25
x Less-than-or-equal-to 2.75
x Greater-than-or-equal-to 2.25
x Greater-than-or-equal-to 2.75
Answer: x Less-than-or-equal-to 2.25
Step-by-step explanation:
The given inequality: 47.75 + x Less-than-or-equal-to 50.
To determine: How much more weight can be added to Li’s suitcase without going over the 50-pound limit.
i.e. inequality for x.
[tex]47.75+x\leq50[/tex]
Subtract 47.75 from both the sides, we get
[tex]x\leq50-47.75\\\\\Rightarrow\ x\leq2.25[/tex]
So, the solution set is "x Less-than-or-equal-to 2.25"
Hence, the correct answer is "x Less-than-or-equal-to 2.25."
Answer
A x <_ 2.25
Step-by-step explanation:
Suppose you are interested in testing wheter the mean earning of men in the general social survey is representative of the earning of the entire U.S. Male population. If there are 372 men in the general social survey sample and approximately 128 million men in the population, calculate the degrees of freedom for this single-sample t test.
Answer:
371
Step-by-step explanation:
According to the given situation the calculation of degrees of freedom for this single-sample t test is shown below:-
Degrees of freedom is N - 1
Where N represents the number of Men
Now we will put the values into the above formula.
= 372 - 1
= 371
Therefore for calculating the degree of freedom we simply applied the above formula.
Please helpppppppppppp
Answer:
96
Step-by-step explanation:
3*6=18*2=36
6*10=60*2=120
10*3=30*2=60
36+60+120=
216
Answer: 216 m
Step-by-step explanation:
2(10 x 6) = 120
2(6 x 3) = 36
2(10 x 3) = 60
120 + 36 + 60 = 216
Instructions: Find FS if BS=16.
Answer:
48
Step-by-step explanation:
FB:BS=2:1
[tex]\frac{FB}{BS} =\frac{2}{1} \\add~1~to~both~sides\\\frac{FB}{BS} +1=\frac{2}{1} +1=3\\\frac{FB+BS}{BS} =3\\\frac{FS}{BS} =3\\FS=3 \times~BS\\FS=3 \times~16=48[/tex]
Answer:
48
Step-by-step explanation:
se tiene que embaldosar el patio interior de un edificio con baldosas cuadradas de 30 cm de lado. El patio es rectangular y sus medidas son 10 m por 12 m. ¿cuantas baldosas se necesitaran?
Answer:
40,000 baldosas
Step-by-step explanation:
Lo primero que debemos hacer aquí es calcular el área del patio rectangular.
El mejor enfoque para esto es convertir primero sus medidas a centímetros
Matemáticamente, 100 cm = 1 m, entonces 10 m se convierten en 1000 cm y 12 m se convierten en 1200 m.
El área de un rectángulo es L * B y, por lo tanto, tenemos 1200 * 1000 = 1,200,000 cm ^ 2
Ahora, para saber la cantidad de azulejos que tendrá el patio, necesitaremos dividir el área del patio por el área de los azulejos
Matemáticamente, eso sería 1,200,000 / 30 = 40,000 fichas
Find the center and radius of x^2 – 18x + y^2 -10y = -6. part two write x2 – 18x + y2 -10y = -6 in standard form
Answer:
see explanation
Step-by-step explanation:
I will begin with part two, first.
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
Given
x² - 18x + y² - 10y = - 6
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is
(x - 9)² + (y - 5)² = 100 ← in standard form
with centre = (9, 5 ) and r = [tex]\sqrt{100}[/tex] = 10
Complete the square to rewrite y = x2 + 8x+ 3 in vertex form, and then identify
the minimum y-value of the function.
Please answer ASAP!!!
====================================================
Work Shown:
y = x^2 + 8x + 3 is the same as y = 1x^2 + 8x + 3
It is in the form y = ax^2 + bx + c
a = 1
b = 8
c = 3
Plug the values of a and b into the formula below to get the x coordinate of the vertex (h,k)
h = -b/(2a)
h = -8/(2*1)
h = -8/2
h = -4
Plug this into the original equation to get its paired y value. This will get us the value of k
y = x^2 + 8x + 3
y = (-4)^2 + 8(-4) + 3
y = 16 - 32 + 3
y = -13
This is the smallest y output possible. Therefore it is the minimum. The minimum occurs at the vertex (h,k) = (-4, -13)
We know we are dealing with a minimum because a = 1 is positive forming a parabola that opens upward. If a < 0, then the parabola would open downward to yield a maximum.
The athletic club at school sold raffle tickets to raise money for equipment. The club sold a total of 1050 tickets,515 to teachers and 235 tickets to staff. If the winning ticket was picked at random what is the probability of the teacher or other staff member?
Answer:
Probability of the teacher or other staff is 0.7143
Step-by-step explanation:
pr(teacher or other staff) = pr(teacher) + pr(other staff) - pr(teacher and other staff)
Total number of tickets = 1050
Number of tickets sold to teachers = 515
Number of tickets sold to other staff = 235
pr(teacher) = [tex]\frac{515}{1050}[/tex]
= 103 [tex]\frac{2}{10}[/tex]
= 0.4905
pr(other staff) = [tex]\frac{235}{1050}[/tex]
= 47 [tex]\frac{2}{10}[/tex]
= 0.2238
Since the picking of the wining ticket is mutually exclusive, then;
pr(teacher and other staff) = 0
Thus,
pr(teacher or other staff) = 0.4905 + 0.2238 - 0
= 0.7143
Find a12 of the sequence 1/4,7/12,11/12,5/4,
Answer:
Your ans is. a12 = 47/12
Step-by-step explanation:
First, you need to find if the series has a common ratio or a common difference between each term. Based from observation, there is a common difference of 1/3 so the series is an arithmetic series.
The solution for this problem goes like this
an=a1+(n-1)d
a12=1/n+(12-1)(1/3)
a12=47/12
Hope it helped you.. Please mark BRAINLIEST
Tysm
S and T are two-digit positive integers that have the same digits but in reverse order. If the positive difference between S and T is less than 40, what is the greatest possible value of S minus T
Answer :Answer: Did you get helped on this one?
Step-by-step explanation: okay yup yup have a good day OKAY
Step-by-step explanation: HAVE A GOOD ONE OKAY
If a watch store paid $125 per watch for a shipment of watches, and sold all but 15 watches from the shipment for $150 per watch, then, in terms of the number of watches in the shipment, y, what function describes the watch store’s profit, P, from the sales?
A) P(y) = 125(y – 15) – 150y
B) P(y) = 15(125 – y) – 150y
C) P(y) = 150(y – 15) – 125y
D) P(y) = 15(150 – y) – 125y
Answer: C) P(y) = 150(y – 15) – 125y
Step-by-step explanation:
Hi, to answer this question we have to write an equation:
Profit = revenue - cost
Cost: a watch store paid $125 per watch for a shipment of watches
Cost = 125 y
Where y is the number of watches in the shipment
Revenue: sold all but 15 watches from the shipment for $150 per watch
Revenue = 150(y-15)
Profit(y) = 150(y – 15) – 125y
So, the correct option is:
C) P(y) = 150(y – 15) – 125y
Feel free to ask for more if needed or if you did not understand something.
La trayectoria de cierto satelitese ajusta ala grafica de la funcionf(x) igual6x al cuadradomenos 12donde x representael tiempo en días y f(x9 el recorrido en kilometroscuantos kilómetros habrá recorridoel sateliteal cabo de diez días desde su lanzamiento
Answer:
588 kilómetros
Step-by-step explanation:
La función con la que estamos trabajando según la pregunta es;
F (x) = 6x ^ 2 -12
Ahora, la pregunta que simplemente nos hace es encontrar el valor de F (x) dado que x = 10
Entonces, lo simple que hacemos aquí es hacer una sustitución de x = 10 Eso sería;
F (10) = 6 (10) ^ 2 - 12 = 600-12 = 588