-10 94-76 5 4 3 2 1
Which inequality matches the graph?
A)
X > 2
Х
B)
x 22
x=2
D)
x22
PLEASE HELP!

In all cases, the probabilities are equal to 1/4, indicating that the probability of the intersection of events E, F, and G with any other event is the same.

To calculate the probabilities P(EF), P(EG), and P(FG), we need to determine the intersection of the events E, F, and G and divide it by the total number of possible outcomes, which is 4.

Event E = {1, 2}

Event F = {1, 3}

Event G = {1, 4}

To calculate P(EF), we need to find the intersection of E and F, which is the common element 1. Therefore, P(EF) = 1/4.

To calculate P(EG), we need to find the intersection of E and G, which is also the common element 1. Therefore, P(EG) = 1/4.

To calculate P(FG), we need to find the intersection of F and G, which is the common element 1. Therefore, P(FG) = 1/4.

In all cases, the probabilities are equal to 1/4, indicating that the probability of the intersection of events E, F, and G with any other event is the same.

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Let a ball be drawn from an urn containing four balls, numbered 1,2, 3, 4. Let E={1,2}, F={1,3}, and G={1,4}. If all four outcomes are assumed equally likely, then what is P(EF), P(EG), and P(FG)?

Answer: 32

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

\(8x = 32\\\frac{8x}{8} = \frac{32}{8} \\x= 4\)

Answer:

maximum height is 80 feet

8 seconds until it hits ground

Step-by-step explanation:

-5t(t - 8) = 0

-5t= 0;  t = 0  (this represents the beginning of the throw)

t-8=0;  t = 8   (this represents the end of the throw)

To find maximum height, find the vertex of the graph,

you can use -b/2a to find 't' and then substitute that value back into the function to find h(t)

x = -40÷2(-5)

x = -40/-10

x = 4

h(4) = -5(4²)+40(4)

h(4) = -5(16) + 160 which is 160 - 80 = 80

To solve 4 choose 2, you use the formula C(n,k) and substitute n=4 and k=2. This gives you the answer of 6, which represents the number of ways to choose 2 items from a set of 4 items.

4 choose 2 is a mathematical expression that represents the number of ways to choose 2 items from a set of 4 items. This concept is often used in combinatorics, which is the branch of mathematics that deals with counting and arranging elements in a set. Solving 4 choose 2 involves finding the number of ways to choose 2 items from a set of 4 items.

To solve 4 choose 2, you can use the formula n choose k, which is represented as C(n,k). In this formula, n represents the total number of items in the set, and k represents the number of items you want to choose. In this case, n=4 and k=2, so the formula becomes C(4,2). The formula for C(n,k) is calculated as n! / (k! * (n-k)!), where n! represents n factorial (i.e. n multiplied by all positive integers less than n). Using this formula, C(4,2) becomes 4! / (2! * (4-2)!), which simplifies to 6. Therefore, the answer to 4 choose 2 is 6. This means that there are 6 different ways to choose 2 items from a set of 4 items.

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Answer:

Step-by-step explanation:

11 and 12

The three extra squares that should be shaded to have a pattern with 4 lines of symmetry and a rotational symmetry of order 4 are E, H, N.

It is required for the new shape to have four lines of symmetry, which means that if the new shape is divided we can obtain four identical lines; moreover, it should have a rotational symmetry of order 4, which means that if we rotate the shape it will coincide with the original shape four times. Based on this, the squares that should be shaded are E, H, N.

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Simpson's rule is a numerical method for approximating integrals. It works by approximating the function being integrated as a parabola over each interval and then summing the areas of those parabolas to estimate the total area under the curve.

To estimate the integral ∫201x3 1−−−−−√dx using Simpson's rule with n = 8, we first need to divide the interval [2, 1] into 8 equal subintervals. The width of each subinterval, h, is therefore:

h = (b - a) / n
h = (1 - 2) / 8
h = -1/8

Next, we need to evaluate the function at the endpoints of each subinterval and at the midpoint of each subinterval. We can then use those values to construct the parabolas that will approximate the function over each subinterval.

The values of the function at the endpoints and midpoints of each subinterval are:

f(2) = 0
f(2 - h) = f(17/8) = 15.297
f(2 - h/2) = f(9/4) = 14.368
f(2 - 3h/2) = f(5/2) = 13.369
f(2 - 2h) = f(15/8) = 12.297
f(2 - 5h/2) = f(11/4) = 11.136
f(2 - 3h) = f(7/2) = 9.869
f(2 - 7h/2) = f(13/4) = 8.480

Using these values, we can now calculate the area under the curve over each subinterval using Simpson's rule:

∫f(x)dx ≈ h/3 * [f(a) + 4f((a+b)/2) + f(b)]

Applying this formula to each subinterval and summing the results, we get:

∫201x3 1−−−−−√dx ≈ -1/24 * [0 + 4(15.297) + 2(14.368) + 4(13.369) + 2(12.297) + 4(11.136) + 2(9.869) + 4(8.480) + 0]

Simplifying this expression, we get:

∫201x3 1−−−−−√dx ≈ -8.645

So the estimated value of the integral is -8.645.

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Cars with exactly two options = Total cars - Cars with none or one option - Cars with all three options. 8 cars had exactly two of the given options during the month of July.

To determine the number of cars that had exactly two of the given options (air conditioning, automatic transmission, and power steering), we can follow these steps:

1. Find the total number of cars sold in July.
2. Subtract the number of cars with none, one, or all three options to get the number of cars with exactly two options.

Step 1: Find the total number of cars sold in July
- 24 cars had none of the extras
- 24 cars had only air conditioning
- 64 cars had only automatic transmission
- 35 cars had only power steering
- 8 cars had all three extras
Total cars = 24 + 24 + 64 + 35 + 8 = 155 cars

Step 2: Subtract the number of cars with one or all three options
- 87 cars had air conditioning
- 99 cars had an automatic transmission
- 73 cars had power steering
- 8 cars had all three extras

Total cars with at least one option = 87 + 99 + 73 - 8 = 251 cars

Now, subtract the number of cars with none or one option from the total number of cars to find the number of cars with exactly two options:

Cars with exactly two options = Total cars - Cars with none or one option - Cars with all three options
Cars with exactly two options = 155 - (24 + 24 + 64 + 35) - 8 = 155 - 147 = 8 cars
Therefore, 8 cars had exactly two of the given options during the month of July.

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Answer:

ok so the top and bottom are 10 inches so added together thats 20 inches

so we know their is 14 left we divide by to to get 7

so the tv is 7 tell

Hope This Helps!!!

Answer:

7 inches

Step-by-step explanation:

Perimeter of rectangle (television) = 34 inches

Width(b) of rectangle = 10 inches

Length(L) of rectangle = ?

Perimeter = 2(L + b)

=> Perimeter = 2(L + 10)

=> 34 = 2(L + 10)

=> 34/2 = L + 10

=> 17 = L + 10

=> L = 17 - 10

=> L = 7 inches

Answer:

Step-by-step explanation:

The acceleration of an object increases with increased forced and decreases with increased mass which is in the same direction as the force.

Answer:

Average rate of change = 31

Step-by-step explanation:

Average rate of change: [f(b) - (f(a)] / (b - a)

a = 1 and b = 5

f(x) = x^3 - 50

[(-50 + 5^3 - (-50 + 1^3)] / 5 - 1

= (75+49)/4

= 31

Let's call Mindy's height "M". According to the problem, we know that:

Camille's height = 66 inches

Camille's height = 2 * Mindy's height - 20 inches

We can substitute the first equation into the second equation to solve for Mindy's height:

66 inches = 2 * M - 20 inches

We can add 20 inches to both sides of the equation to get:

66 inches + 20 inches = 2 * M

This gives us:

86 inches = 2 * M

To find Mindy's height, we can divide both sides of the equation by 2:

M = 86 inches / 2

So Mindy is 43 inches tall.

Answer:

Mindy is  46 inches

Step-by-step explanation:

Let m = Mindy's height

66 = 2m - 20  Add 20 to both sides

66 + 20 = 2m - 20 + 20

86 = 2m  Divide both sides by 2

\(\frac{86}{2}\) = \(\frac{2m}{2}\)

46 = m

We would expect to find the middle 68% of the average amounts of nicotine in a sample of size 41 to be between approximately 0.901 g and 0.991 g by using properties of the normal distribution.

To find the range in which you would expect to find the middle 68% of amounts of nicotine in these cigarettes, we can use the properties of the normal distribution.

Given:
Mean (μ) = 0.946 g
Standard deviation (σ) = 0.289 g

For a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Therefore, we can expect the middle 68% of amounts of nicotine to fall within the range:

μ ± σ

Substituting the given values:

0.946 ± 0.289

To calculate the range, we have:

Lower bound = 0.946 - 0.289 ≈ 0.657 g
Upper bound = 0.946 + 0.289 ≈ 1.235 g

Therefore, we can expect to find the middle 68% of amounts of nicotine in these cigarettes to be between approximately 0.657 g and 1.235 g.

Now, if we were to draw samples of size 41 from this population, the standard deviation of the sample mean (also known as the standard error) can be calculated as:

Standard error (SE) = σ / √n

where σ is the population standard deviation and n is the sample size.

Substituting the given values:

SE = 0.289 / √41 ≈ 0.045 g

To find the range in which we would expect to find the middle 68% of the sample means, we multiply the standard error by 1 to capture approximately 68% of the data, giving us:

Lower bound = μ - SE ≈ 0.946 - 0.045 ≈ 0.901 g
Upper bound = μ + SE ≈ 0.946 + 0.045 ≈ 0.991 g

Therefore, we would expect to find the middle 68% of the average amounts of nicotine in a sample of size 41 to be between approximately 0.901 g and 0.991 g.

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Answer:

1.8g/cm^3

Step-by-step explanation:

Density = mass/volume

=> Density = 45/25

=> Density = 9/5

=> Density = 1.8 g/cm^3

To complete the square for the equation \(x^2 + 8x + 32 = (x - h)^2 + 16\),

we need to choose h = -2.

To complete the square for the given equation

\(x^2 + 8x + 32 = (x - h)^2 + 16\),

we need to express the left-hand side of the equation in the form

\((x - p)^2 + q\), where p and q are constants.

We can start by expanding the right-hand side of the equation:

\((x - h)^2 + 16 = x^2 - 2hx + h^2 + 16\)

Now we can compare the coefficients of \(x^2\), x, and the constant term on both sides of the equation:

\(x^2 + 8x + 32 = (x - p)^2 + q\)

=> \(p^2 = 0\) (since the coefficient of \(x^2\) is 1 on both sides)

=> -2hp = 8 (since the coefficient of x is 8 on the left-hand side)

=> h = -2 (solving for h)

=> q = \(h^2 + 16\) = 20 (since the constant term on the right-hand side is 16)

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The complete question may be:

What value of h is needed to complete the square for the equation \(x^2+8 x+32=(x-h)^2+16\) ?

The measures of the angles in the triangle are: A = 36.87 degree, B = 71.37 degrees
C = 72.76 degrees

Using the law of cosines, we can solve for angle A:

a^2 = b^2 + c^2 - 2bc*cos(A)
6^2 = b^2 + 10^2 - 2*6*10*cos(A)
36 = b^2 + 100 - 120*cos(A)
b^2 = 84 - 100 + 120*cos(A)
b^2 = -16 + 120*cos(A)

Now, using the law of sines, we can solve for angle B:

sin(B)/b = sin(A)/a
sin(B)/b = sin(A)/6
sin(B) = (b/6)*sin(A)
sin(B) = (1/6)*sqrt(-16 + 120*cos(A))*sin(A)

We can substitute this expression for sin(B) into the equation for the law of cosines to solve for angle B:

c^2 = a^2 + b^2 - 2ab*cos(B)
10^2 = 6^2 + b^2 - 2*6*b*sin(B)
100 = 36 + b^2 - 2*6*b*((1/6)*sqrt(-16 + 120*cos(A))*sin(A))
64 = b^2 - b*sqrt(-16 + 120*cos(A))*sin(A) - 32*cos(A)

This is a quadratic equation in b. Solving for b using the quadratic formula, we get:

b = (1/2)*sqrt((-16 + 120*cos(A))*sin(A)^2 + 128*cos(A) + 64)

Substituting this expression for b back into the equation for sin(B), we get:

sin(B) = (1/6)*sqrt(-16 + 120*cos(A))*sin(A)
sin(B) = (1/6)*sqrt((-16 + 120*cos(A))*sin(A)^2 + 128*cos(A) + 64)

Now we can use the inverse sine function to solve for angles A and B:

A = sin^-1(6/10) = 36.87 degrees
B = sin^-1((1/6)*sqrt((-16 + 120*cos(A))*sin(A)^2 + 128*cos(A) + 64)) = 71.37 degrees

Finally, we can solve for angle C:

C = 180 - A - B = 72.76 degrees

Therefore, the measures of the angles in the triangle are:

A = 36.87 degrees
B = 71.37 degrees
C = 72.76 degrees

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Answer:

Step-by-step explanation:

We are given the sequence

\(15, 29, 49, 75, 107\\15->29 = 14\\29 -> 49 = 20\\49->75 = 26\\75 -> 107 = 32\\14, 20, 26, 32\\14 -> 20= 6\\20 -> 26 = 6\\26 -> 32 = 6\\\\6, 6, 6\\6->6 = 0\)

Since we had to find the differences twice, it is a second degree polynomial

\(y = an^2 + bn + c\\plugging \: in \: n = 1, 2, 3...\\the \: sequence \: is \\a+b+c, 4a + 2b + c, 9a + 3b + c...\\the \: diff \: under \: is \\3a + b, 5a + b, 7a + b...\\the \: diff \: under \: is \\2a, 2a, 2a...\\so, \\2a = 6\\a = 3\\3(3) + b = 14\\b = 5\\\\a +b + c = 15\\3 + 5 + c = 15\\c = 7\\\)

so,

\(y = 3n^2 + 5n + 7\)

Answer:

Yes I agree with Andre's example. I agree with Andre's example because ants have 6 legs so you would write L= 1/6 x a.

Step-by-step explanation:

Hope this helps :)))

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Answer:

-2x

Step-by-step explanation:

Answer:green to total 2/10

Step-by-step explanation:

Answer:

1.4 people out of 10

Step-by-step explanation:

Just divide it by 10

Answer:

only 4 people

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

72 formas

Step-by-step explanation:

Primero vamos a calcular de cuántas formas se puede organizar los 5 cubos en una columna utilizando la regla de la multiplicación:

5 * 4 * 3 * 2 * 1 = 120

Porque tenemos 5 cubos para poner en la base de la columna, luego 4 cubos para la segunda posición de la columna, luego 3 cubos y así hasta organizar todos los cubos.

Luego vamos a calcular de cuántas formas podemos organizar los 5 cubos de tal forma que los cubos azules se toquen entre sí. Para esto vamos a contar los dos cubos azules como si fueran uno solo, es decir, sólo tendríamos "4 cubos" y podríamos organizar los cubos de 24 formas distintas:

4 * 3 * 2 * 1 = 24

Por otro lado, los 2 cubos azules pueden ser organizados de dos formas diferentes: primero el claro y luego el oscuro o primero el oscuro y luego el claro.

Es decir que hay 24 formas distintas de organizar los cubos en donde primero va el claro y luego el oscuro y hay 24 formas de organizar los cubos en donde primero va el oscuro y luego el claro.

Esto significa que de las 120 formas de organizar los 5 cubos, 48 formas tienen los cubos azules juntos y en 72 (120-48) formas los dos cubos azules no se tocan entre sí.

Answer:

this is the answer

Step-by-step explanation:

the one where the lines are at 6,8,1

Answer:

boom math

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Use pythagorean theorem:

\(a^{2} +b^{2} =c^{2} \\\)

For example, if we are given the lengths:

Short side: 3

Hypotenuse: 5

and we have to find the other side length:

\(a^{2} +b^{2} =c^{2} \\3^{2} +b^{2} =5^{2} \\9+b^{2} =25\\b^{2} =16\\b=4\)

So, the missing side length would be 4.

Hope this helps!  :)

Answer:

B. 3/4

Step-by-step explanation:

64 x 3/4=48

48 x 3/4=36

and so on...

Answer:

B 3/4

Step-by-step explanation:

The nth term of a geometric progression is given by

an = a1 . rn - 1

Where;

an = the nth term

a1 = the first term

r = common ratio

n = the number of terms in the series

Common ratio, r = the ratio of the second term to the first term

= a2 : a1

Given from the series,

a2 = 48

a1 = 64

Common ratio, r = 48 : 64

= 48/64 = 3/4

The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth.

1. The population scenario of Dhaka City is characterized by rapid urbanization, high population density, and significant population growth. These factors have led to numerous challenges, including increased traffic congestion, inadequate infrastructure, and strain on public services. The city's population is growing at a rapid pace, resulting in overcrowding, housing shortages, and environmental concerns.

2. To mitigate the present traffic jam situation in Dhaka City, a restructuring of the population can be pursued through various strategies. One approach is to promote decentralization by developing satellite towns or encouraging businesses and industries to establish themselves in other regions. This would help reduce the concentration of population and economic activities in the city center. Additionally, improving public transportation systems, including expanding the metro rail network, introducing dedicated bus lanes, and enhancing cycling and pedestrian infrastructure, can provide viable alternatives to private vehicles. Encouraging telecommuting and flexible work arrangements can also help reduce the number of daily commuters. Moreover, urban planning should focus on creating mixed-use neighborhoods with residential, commercial, and recreational spaces to minimize the need for long-distance travel.

By implementing these measures, the population of Dhaka City can be restructured in a way that reduces the strain on transportation systems, alleviates traffic congestion, and creates a more sustainable and livable urban environment.

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