The probability that the person selected is 40 years old or younger is 0.61.
What is the probability?Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.
The probability that the person selected is 40 years old or younger = number of people 40 years or younger / total number of people at the movie theatre = (6 + 17 + 18 + 10 + 4 + 6) / (6 + 17 + 18 + 10 + 4 + 6 + 16 + 3 + 20)
61 / 100 = 0.61
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Will mark brainliest
A table of values of an increasing function f is shown.
x 10 14 18 22 26 30
f(x)
−14
−8
−1
1
4
7
The upper estimate and lower estimate become R5 = 16 and L5 = −64
According to the statement
we have given that the some values of the increasing function f and we have to find the lower estimate and upper estimate values.
So, For this purpose, we know that the
the values of x is 10 14 18 22 26 30
And the values of f(x) is −14 −8 −1 1 4 7
So,
Δx = 4 because
L5 = 4(−12 − 6 − 2 + 1 + 3) = −64,
And
R5 = 4(−6 − 2 + 1 + 3 + 8) = 16.
And from these functions we see that the
The function being increasing, the Riemann sum with left endpoint L5 = −64 is a lower estimate,
And while the sum with right endpoints R5 = 16 is an upper estimate.
So, The upper estimate and lower estimate become R5 = 16 and L5 = −64
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Please help, need for hw and cant find the fourth degreee
The quartic equation behind the graph is y = - 2 · x⁴ + 4 · x³ + 6 · x² - 8 · x - 8.
How to derive the expression for a quartic function
Quartic functions are fourth grade polynomials and according to the fundamental theorem of algebra, such kind of expressions have at least two real roots and at most four real roots. The graph of the picture shows a polynomial with two roots of multiplicity 2: x₁ = - 1, x₂ = 2.
y = a · (x + 1)² · (x - 2)² (1)
Where a is the leading coefficient.
If we know that (x, y) = (0, 4), then the leading coefficient of the polynomial is:
4 = a · (0 + 1) · (0 - 2)
4 = - 2 · a
a = - 2
Then, the quartic equation is equal to:
y = - 2 · (x + 1)² · (x - 2)²
y = - 2 · (x² + 2 · x + 1) · (x² - 4 · x + 4)
y = - 2 · [(x² + 2 · x + 1) · x² + (x² + 2 · x + 1) · (- 4 · x) + (x² + 2 · x + 1) · 4]
y = - 2 · (x⁴ + 2 · x³ + x² - 4 · x³ - 8 · x² - 4 · x + 4 · x² + 8 · x + 4)
y = - 2 · (x⁴ - 2 · x³ - 3 · x² + 4 · x + 4)
y = - 2 · x⁴ + 4 · x³ + 6 · x² - 8 · x - 8
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Find the slope and reduce.
P=(2, 3) Q=(9, 7)
Slope =
Answer: 4/7
Step-by-step explanation:
Slope = Rise/Run = (7-3)/(9-2) = 4/7
Answer:
4/7
Step-by-step explanation:
The formula to find the slope is: (change in y)/(change in x)
Or also: Rise/Run
The change in y is: 3 --> 7 which is +4
The change in x is: 2 --> 9 which is +7
So the (change in y)/(change in x) will be 4/7.
Since 4/7 cannot be simplified further, that is our final answer.
There are three novels on Sam's reading table: Light, Zami, and Money.
. On his next trip, he can choose to take some, none, or all of these novels. In the braces below, list all the possible sets of novels that Sam can take.
Write each set in your list in roster form. If there is more than one set in your list, separate them with commas. If you need the empty set in your list, use the symbol Ø.
The subsets of the set of novels is given as follows:
{Ø, {Light}, {Zami}, {Money}, {Light, Zami}, {Light, Money}, {Zami, Money}, {Light, Zami, Money}}.
How to find the subsets of a set?Suppose we have a set with cardinality n, that is, with n elements. This set will have 2^n subsets, which are all the possible combinations with the elements of the set, including the empty set.
In this problem, the novels are given as follows:
Light, Zami, and Money.
Hence the possible subsets are given as follows:
{Ø, {Light}, {Zami}, {Money}, {Light, Zami}, {Light, Money}, {Zami, Money}, {Light, Zami, Money}}.
With is the list that is asked for this problem, which are the subsets of the set of novels.
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Use the midpoint rule with the given value of n to approximate the integral. (Round your answer to four decimal places.)
16
0
sin
x
dx, n = 4
Split up [0, 16] into 4 equally-spaced subintervals of length [tex]\frac{16-0}4=4[/tex],
[0, 16] = [0, 4] U [4, 8] U [8, 12] U [12, 16]
with midpoints 2, 6, 10, and 14, respectively.
Then with the midpoint rule, we approximate the integral to be about
[tex]\displaystyle \int_0^{16} \sin(\sqrt x) \, dx \approx 4 \left(\sin(\sqrt2) + \sin(\sqrt6) + \sin(\sqrt{10}) + \sin(\sqrt{14})\right) \approx \boxed{4.1622}[/tex]
Show all work to write the expression in simplified rational exponent form:
[tex]\sqrt[4]{17x^{2}}[/tex]
(Fourth root of 17 x squared)
Answer:
[tex](17x)^{\frac{2}{4}}[/tex]
Step-by-step explanation:
There's not much work to show for this problem, but I'll explain it for you
Use the exponent rule for roots to combine the 4 and the 2 like a fraction
2 on the top and 4 on the bottom
[tex](17x)^{\frac{2}{4} }[/tex]
That's it! Pretty easy
Good Luck!
pls mark brainliest
Find a potential function for the vector field
The answers to the question are given as x²y + 24x +16y and 87
How to solve for the potential function of the vector field
(2xy + 24, x² + 16)
We have to check in order to be sure that the vector that we have here is a gradient field
we have fx = 2xy + 24 and fy = x² + 16
Such that we would have x²y + 24x +g(y)
for f(y) g' = 16 = 16 + c
Given that there is no lose of generality, we are going to have the following where
x²y + 24x +16y
b. We have to solve this oart by making use of the fundamental theory of integrals
f2,4 = 4*4 + 24*2 + 16*4
= 16 + 48 + 64
= 128
f1,1 = 1*1 + 24*1 + 16*1
= 1 + 24 + 16
= 41
128 - 41 = 87
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last week you worked the following hours monday 5 1/2 wednesday 6 3/4 friday 4 1/2 how many hour did you work in all week
Answer:
Step-by-step explanation:
You worked 16 hours and 45 minutes
5 1/2 = 5 hours and 30 minutes
6 3/4 = 6 hours and 45 minutes
4 1/2 = 4 hours and 30 minutes
Add the hour and minutes.
5 hours 30 min + 4 hours 30 min = 10 hours
10 hours + 6 hours 45 min = 16 hours and 45 minutes
1)y-6=12 7)8t=42 porfavor alguien me ayuda con esto
2)-5+k=1 para quien no lo sepa,la cosa es encontrar el valor de
3)-2g=-14 8)-9+z=18 la letra que sale ay
4)y_4=12 9)7+w=14
5)12+u=-12 10)13_5=12
6)f-7=10 11)D_2=-10
The solution to the following equations is given below;
Equationy - 6 = 12
y = 12 + 6
y = 18
-5 + k = 1
k = 1 + 5
k = 6
-2g = -14
g = -14/-2
g = 7
y - 4 = 12
y = 12 + 4
y = 16
12 + u = -12
u = -12 - 12
u = -24
f - 7 = 10
f = 10 + 7
f = 17
8t = 42
t = 42/8
t = 5.25
-9 + z = 18
z = 18 + 9
z = 27
7 + w = 14
w = 14 - 7
w = 7
13 - 5 = 12
8 ≠ 12
D - 2 = -10
D = -10 + 2
D = -8
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If Emery has $1,400 to invest at 5% per year compounded monthly, how long will it be before he has $2,400? If the compounding is
continuous, how long will it be? (Round your answers to three decimal places.)
Answer:
Step-by-step explanation:
(1400x14.5x5%) + 1400 =2415
Answer: 14.5 months
Please help due today. (43/7÷ x+32/9) ÷25/6=4/3
The solution to the equation as given in the task content is; x = -3.47.
What is the solution of the equation in discuss?It follows from the task content that the equation given is; (43/7÷ x+32/9) ÷25/6=4/3
(43/7÷ x+32/9) = 25/6 × 4/3
(43/7÷ x+32/9) = 100/18
x +32/9 = 43/7 ÷ 100/18
x + 32/9 = 774/700
x = 774/700 - 32/9
x = -3.47.
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I have to be at work at 4 am it takes 34 mins to walk to work from my house what time would i have to leave my house to be at work on time at 4 am
Answer:
3:26 to be on time!
Step-by-step explanation:
If you leave your house at 3:26 am and then walk 34 minutes it will be 4 am
once you get to work.
P: 2,012
1) El volumen de un cubo de arista 1 es Vc = 1³ y el
Volumen de una esfera de radior es
JE
V₁ = πr ²³ Entonces si en un cubo de arista 4cm
3
y se introduce una pelota de diametro 4 cm, al Calcular
aproximación con cuatro cifras decimales, por exceso.
Calcular el volumen que queda entre la esfera y el cubo.
(toma π =
3,141592654)
El volumen que queda entre la esfera y el cubo es: 30.49cm^3
¿Como calcular el volume sobrante?
El volumen sobrante será simplemente la diferencia entre el volumen del cubo y el volumen de la esfera.
Para el cubo que tiene una arista de 4cm, el volumen es:
V = (4cm)^3 = 64 cm^3
Para la esfera con un diametro de 4cm, el radio es:
R = 4cm/2 = 2cm
Y el volumen será:
V' = (4/3)*3.141592654*(2cm)^3 = 33.51 cm^3
El volumen que queda entre la esfera y el cubo es:
V - V' = 64 cm^3 - 33.51 cm^3 = 30.49cm^3
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Please help!
Express the area of the region bounded by the x-axis, y = 1/2x - 2 and y equals the cubed root of x, using definite integrals.
The integral which expresses the area of the region bounded by y = ¹/₂x - 2 and y = ∛x is; ∫⁸₀((x^(1/3)) - ¹/₂x + 2
How to integrate between two curves?
We are given the functions as;
y = ¹/₂x - 2
y = ∛x
Now, from the graph the coordinate of the point where both curves intersect is at; (8, 2)
Thus, the x-coordinate here is x = 8
∛x - (¹/₂x - 2)
∛x - ¹/₂x + 2
Similarly, another point of intersection of both curves is at the coordinate (0, -2). Thus, the x-coordinate here is; x = 0
Thus, the integral which expresses the area of the region bounded by y = ¹/₂x - 2 and y = ∛x is; ∫⁸₀((x^(1/3)) - ¹/₂x + 2
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Example
A soccer league has 60 returning players and 36 new players. Each team will have
the same ratio of returning players to new players as the league has. How many
new players will a team with 10 returning players have?
You can use a double number line to find ratios equivalent to 60: 36.
Number pairs that line up vertically represent equivalent ratios.
Returning Players 0
New Players 0
10
++
6
+6
+
-6
60
36
You can divide each quantity in 60: 36 by 6 to find the equivalent ratio 10:6.
A team with 10 returning players will have 6 new players.
1 Sophia says that you can solve the problem in the Example by multiplying both
quantities in the ratio 60:36 by. Is Sophia correct? Explain.
Answer:
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
says the expression
2√25+√-16
Answer:
10 + 4i
Step-by-step explanation:
2 sqrt (25) + sqrt (-16) =
2 * 5 + 4i
10 + 4i
Answer:
[tex]10 + 4i[/tex]
Step-by-step explanation:
Original Equation:
[tex]2\sqrt{25} + \sqrt{-16}[/tex]
Simplify sqrt(25)
[tex]2*5+\sqrt{-16}[/tex]
Simplify multiplication
[tex]10+\sqrt{-16}[/tex]
Split the radical -16 into two, using the identity: [tex]\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}[/tex]
[tex]10 + \sqrt{-1}*\sqrt{16}[/tex]
Simplify the sqrt(16) and sqrt(-1) using definition of an imaginary number
[tex]10 + 4i[/tex]
The total mass of Faizal, John and Raju is 154.2 kg. John is 10.48 kg
heavier than Raju and 9.23 kg heavier than Faizal. Find Raju's mass.
Answer:
R = 47.49 kg
Step-by-step explanation:
To find answer, I will put things in terms of Raju's mass
J = R + 10.48
J - 9.23 = F or R + 10.48 - 9.23 = F
F + J + R = 154.2
(R + 10.48- 9.23) + (R+10.48 ) + R = 154.2
3R = 142.47
R=47.49 kg
write each number as a logarithm with base 2:-3
The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)
What are logarithms?As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms
How to rewrite the number as a logarithm?The number is given as:
x = -3
The base of the logarithm is given as:
Base = 2
To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2
This is represented as:
Number =2^-3
Apply the power rule of indices
Number =1/2^3
Evaluate the exponent
Number = 1/8
Evaluate the quotient
Number = 0.125
Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)
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Divide. Write your answer in simplest form.
3/14 divided by 7/10???
Answer:
[tex]\frac{15}{49}[/tex]
Step-by-step explanation:
[tex]\frac{3}{14} /\frac{7}{10} =\frac{3}{14} *\frac{10}{7} = \frac{3}{7} *\frac{5}{7} =\frac{15}{49}[/tex]
Which function of the S&P Capital IQ Excel plug-in allows users to extract company data directly from CapIQ’s database and calculate the desired financial metrics using the CapIQ formulas?
Review Later
Formula Builder
Auditing
Screening
Templates
The function of the S&P Capital IQ Excel plug-in allows users to extract company data directly from CapIQ’s database and calculate the desired financial metrics using the CapIQ formulas is; Formula Builder
What is the financial tool used?S&P Capital IQ Excel plug is a tool that helps to provide access to financial data, news and analytics for real estate investment trusts (REITs) including other industry data on bank & thrifts, financial services, insurance, real estate and other markets.
Now, when the Excel Plug-in has been installed, a new toolbar will be
available in Excel. This toolbar is called formula builder and it is useful for the following use in S&P Capital;
Enable/Disable the Excel Plug-inSearch any company financialsSearch for formulasBuild formulasCreate comp setsGo to saved screensAccess chartingRefresh dataOpen the S&P Capital IQ platform in a browserOpen S&P Capital IQ’s screening pageAccess filingsRead more about Financial Tool at; https://brainly.com/question/14364696
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What must be true for line EF to not intersect plane L?
Answer:
If line EF is parallel to line CD, it will not intersect plane L.
Ivan bought two magazines for $4.95 each. If the sales tax was 6.75% what was the total amount that he paid for the magazines?
Step-by-step explanation:
the total sale price for the magazines were
2×4.95 = $9.90
so,
100% = 9.9
1% = 100%/100 = 9.9/100 = 0.099
6.75% = 6.75×1% = 6.75×0.099 = 0.66825 ≈ $0.67
so, he paid in total
$9.90 + $0.67 = $10.57
We will start with a string which is pulled tight enough to vibrate at 288 Hertz when
plucked. Let the length of the string be 1 unit. We can find additional nice sounding
notes by using a string of a smaller length with the same amount of tension. To find
the string lengths, we need to use fractions whose numerators are powers of 2 and
whose denominators are powers of 3 (which are larger than ½, but smaller than 1).
The first few fractions are given below. Determine the remaining fractions:
The series of fractions is 1, 2/3, 8/9, 16/27, 64/81, 128/243, 512/729, 2048/2187, 4096/6516, 16384/19683, 32768/59049, 131072/177147.
The string lengths are fractions whose numerators are powers of 2 and denominators are powers of 3, and the fractions are larger than 1/2 but smaller than 1.
Some powers of 2 are:
2⁰ = 1, 2¹ = 2, 2² = 4, 2³ = 8, 2⁴ = 16, 2⁵ = 32, 2⁶ = 64, 2⁷ = 128, 2⁸ = 256, 2⁹ = 512, 2¹⁰ = 1024, 2¹¹ = 2048, 2¹² = 4096, 2¹³ = 8192, 2¹⁴ = 16384, 2¹⁵ = 32768, 2¹⁶ = 65536, and 2¹⁷ = 131072.
Some powers of 3 are:
3⁰ = 1, 3¹ = 3, 3² = 9, 3³ = 27, 3⁴ = 81, 3⁵ = 243, 3⁶ = 729, 3⁷ = 2187, 2⁸ = 6561, 3⁹ = 19683, 3¹⁰ = 59049, and 3¹¹ = 177147.
The fractions, for which the numerator is a power of 2, the denominator is a power of 3, and the value is between 1/2 and 1 are:
2/3, 8/9, 16/27, 64/81, 128/243, 512/729, 2048/2187, 4096/6516, 16384/19683, 32768/59049, 131072/177147.
Thus, the series of fractions is 1, 2/3, 8/9, 16/27, 64/81, 128/243, 512/729, 2048/2187, 4096/6516, 16384/19683, 32768/59049, 131072/177147.
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which expression gives the value of QR?
a. 67 sin 80 degrees over sin 52 degrees
b. 67 sin 52 degrees over sin 80 degrees
c. 51 tan 52 degrees
d. 51 sin 80 degrees over cos 52 degrees
Answer:
B
Step-by-step explanation:
using the Sine Rule in Δ QRS
[tex]\frac{QR}{sinS}[/tex] = [tex]\frac{RS}{sinQ}[/tex] ( substitute values )
[tex]\frac{QR}{sin52}[/tex] = [tex]\frac{67}{sin80}[/tex] ( cross- multiply )
QR × sin80° = 67 × sin52° ( divide both sides by sin80° )
QR = [tex]\frac{67sin52}{sin80}[/tex]
A. What are the coordinates of R’ if R (-2, 7) is dilated around the origin with k=3?
B. What are the coordinates of T’ if T (4,-1) is dilated by a scale factor of ½ with R as the center of the dilation?
A: The coordinates of the point R' are (- 6, 21).
B: The coordinates of the point T' are (1, 3).
How to generate new points by definition of dilation
In this question we must make use of rigid transformations to find the location of new points, rigid transformations are transformations used in geometric loci such that Euclidean distance is conserved. In this case, we need to use a kind of rigid transformation known as dilation, which is defined below:
P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)] (1)
Where:
O(x, y) - Center of dilationk - Dilation factorP(x, y) - Original pointP'(x, y) - Resulting pointPart A - If we know that O(x, y) = (0, 0), R(x, y) = (- 2, 7) and k = 3, then the coordinates of point R' are:
R'(x, y) = (0, 0) + 3 · [(- 2, 7) - (0, 0)]
R'(x, y) = (- 6, 21)
Part B - If we know that O(x, y) = (- 2, 7), T(x, y) = (4, - 1) and k = 1/2, then the coordinates of point T' are:
T'(x, y) = (- 2, 7) + (1 / 2) · [(4, - 1) - (- 2, 7)]
T'(x, y) = (- 2, 7) + (1 / 2) · (6, - 8)
T'(x, y) = (- 2, 7) + (3, - 4)
T'(x, y) = (1, 3)
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If Amn, Bpq are two matrices, state the conditions when they are conformable for (i) addition, (ii) multiplication (iii) addition and multiplication.
Answer:
matrices can be added together if both have the same order
Addition is both commutative and associative
matrices can be multiplied together if the number of column in the right hand matrix equals the number of row in the left hand matrix
Mr. and Mrs. Chan want to buy new furniture that has a cash price of $6230. On the installment plan, they must pay %25 of the cash price as a down payment and make twelve monthly payments of $415.
The interest due on financing option is $307.50
What is interest on financing?
Interest on financing is the extra amount paid by the couple when their total payments are compared to the cash price of $6,230.
The total payments would be the 25% down payment plus the sum of the twelve monthly payments of $415 each
Down payment=cash price*25%
Down payment=$6230*25%
Down payment=$1,557.50
Total monthly payments=amount of each monthly payment*number of monthly payments
monthly payment=$415
number of monthly payments=12
Total monthly payments=$415*12
Total monthly payments=$4,980
Total payment under financing=Down payment +Total monthly payments
Total payment under financing=$1,557.50+$4,980
Total payment under financing=$6,537.50
Interest=$6,537.50-$6,230
Interest on financing=$307.50
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Complete question:
Mr. and Mrs. Chan want to buy new furniture that has a cash price of $6230. On the installment plan, they must pay %25 of the cash price as a down payment and make twelve monthly payments of $415. How much interest did they pay due to financing?
can someone pls help me with this !
Using a line of best fit, the predicted tsunami speed for the following depths is given by:
a. 1151 km/h.
b. 572 km/h.
c. 130 km/h.
d. 122 km/h.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points (depth, velocity) are given by:
(7000, 943), (4000, 713), (2000, 504), (200, 159), (50, 79), (10,36)
Inserting these points in the calculator, the velocity in function of the depth is:
v(d) = 0.12879d + 121.03448
Hence, the velocities are given as follows:
a. v(8000) = 0.12879 x 8000 + 121.03448 = 1151 km/h.
b. v(3500) = 0.12879 x 3500 + 121.03448 = 572 km/h.
c. v(70) = 0.12879 x 70 + 121.03448 = 130 km/h.
d. v(5) = 0.12879 x 5 + 121.03448 = 122 km/h.
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QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
a. Central angle: Angle BAC
b. A major arc is: Arc BEC
c. A minor arc is: Arc BC
d. Measure of arc BEC in circle A = 260°
e. Measure of arc BC = 100°
What is the Central Angle Theorem?According to the central angle theorem the measure of central angle (i.e. angle BAC in circle A) is the same as the measure of the intercepted arc (i.e. arc BC in circle A).
What is a Central Angle?Referring to the image given, a central angle (i.e. angle BAC) is formed by two radii of a circle (i.e. AB and AC in circle A), where the vertex of the angle (i.e. vertex A in circle A) is at the center of the circle.
What is a Major Arc?An arc that is bigger than a semicircle (half a circle) or with a measure greater than 180 degrees is called a major arc of a circle.
What is a Minor Arc?An arc that is smaller than a semicircle (half a circle) or with a measure less than 180 degrees is called a minor arc of a circle.
a. Central angle in circle A is: ∠BAC
b. Major arc in circle A is: Arc BEC
c. Minor arc in circle A is: Arc BC.
d. Based on the central angle theorem, we have:
Measure of arc BEC in circle A = 360 - 100
Measure of arc BEC in circle A = 260°
e. m∠BAC = 100° [given]
Based on the central angle theorem, we have:
m(arc BC) = m∠BAC
Measure of arc BC = 100°
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Please help me this is due Monday!
Answer:
1.
2. Additive Identity
3. Associative Property
4. Multiplication Inverse Property
5. Multiplication Property of 0
6. Commutative Property
7.
8.
Step-by-step explanation: