the median of a set of grouped data will always be the same value as the median of the full set of raw data used to make that grouped data set. true false

Answer:

El continente que se considera poco poblado debido a que su población ocupa menos de la mitad de su territorio es AMÉRICA.

Aunque no lo pareciera tenemos que el continente americano es considerado como poco poblado, pero esto es por la distribución de las sociedades que por falta de población.

La distribución de los pueblos americanos es bastante ortodoxa y esto ha hecho que las poblaciones se concentren en sitios y que ocupen menos territorio en el continente. Ademas, hay que tomar en cuenta que existe muchos territorios naturales que no se pueden poblar por ejemplo la amazonia.

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

this is easy question

Answer:

Yes.

Step-by-step explanation:

Yes.   Because opposite angles are congruent.

Answer:

yes

Step-by-step explanation:

because opposite angles are congruent

Answer:

ok

Step-by-step explanation:

Answer:

y=-2x+3

Step-by-step explanation:

-2y=-6+4x

-2y/-2=(4x-6)/-2

y=-2x+3

Answer:

Step-by-step explanation:

Hope this helps! <3

Answer: 6/40 = 3/20

Step-by-step explanation:

The experimental probability is the number of times the desired result was obtained over the number of times the experiment was carried out:

P= Time the event occurs/ Total number of trials

In this case the event we are looking for is rolling a 3 on the number cube. The total number of trials is: 40

because the student rolls the cube 40 times. and the time that he got the number 3 (the times the desired event occurs) is: 6

because he rolls a 3 on the number cube 6 times. Thus our experimental probability to roll a 3 is: P = 6/40

There will  total of 987 outcomes involving at least 8 heads when a coin is tossed ten times

We will be using the formula of combination for calculating the outcomes. Since we have tossed a coin 10 times , so total number of possible outcomes: 2¹⁰ = 1024 .Since at least 8 heads means we will get tail, exactly after two tosses exactly. we will find the outcomes for no head, one head, and 2 head .So, the number of outcomes involving will be 8 heads :

= 1024 - ⁸C₀ ( + ⁸C₁ + ⁸C₂ )

= 1024 - ( 1+8+28) = 1024 - 37

= 987

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The probability of a card being black given it is a queen is P(A|B) = P(A ∩ B) / P(B) = (4/52) / (4/52) = 1. This means that if you draw a queen from a standard deck of 52 cards, it will be black with a probability of 100%.

The probability of a card being black given it is a queen can be determined using the formula P(A|B) = P(A ∩ B) / P(B). Where P(A) is the probability of a card being black and P(B) is the probability of a card being a queen.

To calculate this, we first need to calculate the probability of a card being a queen, which is 4/52 (there are 4 queens in a standard deck of 52 cards). The probability of a card being black is 26/52 (there are 26 black cards in a standard deck of 52 cards).

Using the formula, the probability of a card being black given it is a queen is P(A|B) = P(A ∩ B) / P(B) = (4/52) / (4/52) = 1. This means that if you draw a queen from a standard deck of 52 cards, it will be black with a probability of 100%.

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The given number is 231.

Remember that a composite number means it can be expressed as factors.

In this case, if we multiply 3 x 7 x 11 we get 231.

Answer:

3z < -4.8

* be sure to use the less than or equal to sign

Step-by-step explanation:

The inequality for the A number z times 3 is at most -4.8 is 3x < -4.8

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

A number z times 3 is at most -4.8

Now, the mathematical expression is

3z < -4.8

and, z< -1.6

Hence, the inequality is 3x < -4.8

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The equation holds for k, it also holds for k + 1. we have proven that (1 2 3 ··· n)² = 1 3 2 3 3 3 ··· n³ for every n ∈ ℕ.

To prove that (1 2 3 ··· n)² = 1 3 2 3 3 3 ··· n³ for every n ∈ ℕ, we will use mathematical induction.

Base case:

Let's start by verifying the equation for the base case when n = 1:

(1)² = 1³

The base case holds true.

Inductive step:

Next, we assume that the equation holds for some positive integer k, where k ≥ 1. That is, we assume that (1 2 3 ··· k)² = 1 3 2 3 3 3 ··· k³.

Now, we need to show that the equation holds for k + 1, i.e., we need to prove that ((1 2 3 ··· k) (k+1))² = 1 3 2 3 3 3 ··· k³ (k+1)³.

Expanding the left-hand side of the equation:

((1 2 3 ··· k) (k+1))² = (1 2 3 ··· k)² (k+1)²

Using the assumption that (1 2 3 ··· k)² = 1 3 2 3 3 3 ··· k³, we can rewrite the left-hand side as:

(1 3 2 3 3 3 ··· k³) (k+1)²

Now, let's analyze the right-hand side of the equation:

1 3 2 3 3 3 ··· k³ (k+1)³ = 1 3 2 3 3 3 ··· k³ (k³ + 3k² + 3k + 1)

We can see that the right-hand side consists of the terms from 1³ to k³, followed by (k+1)³, which is equivalent to (k³ + 3k² + 3k + 1).

Comparing the expanded left-hand side and the right-hand side, we notice that they are equivalent:

(1 3 2 3 3 3 ··· k³) (k+1)² = 1 3 2 3 3 3 ··· k³ (k³ + 3k² + 3k + 1)

Therefore, we have shown that if the equation holds for k, it also holds for k + 1.

Since the base case holds true and we have shown that if the equation holds for k, it also holds for k + 1, we can conclude that the equation holds for all positive integers n.

Hence, we have proven that (1 2 3 ··· n)² = 1 3 2 3 3 3 ··· n³ for every n ∈ ℕ.

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Answer:

241

Step-by-step explanation:

arithmetic sequence formula

A = a + f × (n-1)

n=the nᵗʰ term in the sequence

a=the first term in the sequence

f=the common difference between terms

31+11(20-1)=241

Answer:

a

Step-by-step explanation:

The probability that Nishi will be scoring zero points would be = 0.09.

Probability can be defined as the possibility of an outcome of an event

Nishi has a 70% chance of making a free-throw. This means that out of 100%, Nishi will miss the free-throw 30% of the time.

Zero points means that Nishi will have to miss the free-throw twice. To calculate this occurrence, we must multiply the chances of Nishi missing twice.

This occurrence asks for a 30% chance to happen the first free throw, and a 30% chance to happen on the second free throw.

30/100 ×30/100

= 9/100

Convert the percentages to a decimal:

= 0.09

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Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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the integral ∫e^(4θ)sin(5θ)dθ evaluates to (-9/41)e^(4θ)cos(5θ) + C.

To evaluate the integral ∫e^(4θ)sin(5θ)dθ, we can use integration by parts.

Let u = sin(5θ) and dv = e^(4θ)dθ.

Then, we have du = 5cos(5θ)dθ and v = (1/4)e^(4θ).

Using the formula for integration by parts:

∫u dv = uv - ∫v du,

we can apply it to our integral:

∫e^(4θ)sin(5θ)dθ = (-1/4)e^(4θ)cos(5θ) - ∫(1/4)e^(4θ)(5cos(5θ))dθ.

Simplifying the expression, we get:

∫e^(4θ)sin(5θ)dθ = (-1/4)e^(4θ)cos(5θ) - (5/4)∫e^(4θ)cos(5θ)dθ.

Now, we need to evaluate the remaining integral: ∫e^(4θ)cos(5θ)dθ.

For this integral, we can again use integration by parts.

Let u = cos(5θ) and dv = e^(4θ)dθ.

Then, we have du = -5sin(5θ)dθ and v = (1/4)e^(4θ).

Applying the integration by parts formula, we get:

∫e^(4θ)cos(5θ)dθ = (1/4)e^(4θ)cos(5θ) + (5/4)∫e^(4θ)sin(5θ)dθ.

We can substitute this result back into the previous expression:

∫e^(4θ)sin(5θ)dθ = (-1/4)e^(4θ)cos(5θ) - (5/4)[(1/4)e^(4θ)cos(5θ) + (5/4)∫e^(4θ)sin(5θ)dθ].

Now, we have an equation involving the integral we are trying to evaluate. Let's isolate it:

∫e^(4θ)sin(5θ)dθ = (-1/4)e^(4θ)cos(5θ) - (5/4)(1/4)e^(4θ)cos(5θ) - (25/16)∫e^(4θ)sin(5θ)dθ.

Combining like terms, we get:

(41/16)∫e^(4θ)sin(5θ)dθ = (-9/16)e^(4θ)cos(5θ).

Finally, dividing both sides by (41/16), we obtain:

∫e^(4θ)sin(5θ)dθ = (-9/41)e^(4θ)cos(5θ) + C,

where C is the constant of integration.

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Yuna wam 1.9 miles in the open ocean in two hours, starting off with an average speed of 1.4 mph but decreasing to 0.8 mph. This resulted in a total distance of 2.8 miles.

To calculate Yuna's total distance wimmed, we need to calculate the total time it took her to wim. She wam 1.9 miles in 2 hours, so her average peed for the entire wim wa 1.4 mph.

1.4 mph x 2 hours = 2.8 miles

Therefore, Yuna wam a total of 2.8 miles.

Yuna trained for a triathlon and wam 1.9 miles in the open ocean, which took her two hours. She started off with an average speed of 1.4 mph, but as she got tired and wam against the current her average speed decreased to 0.8 mph. In order to calculate the total distance wimmed, we need to calculate the total time it took her which can be done by multiplying her average speed of 1.4 mph by the two hours. This gives us a total distance of 2.8 miles, which means that Yuna wam a total of 2.8 miles.

Yuna wam 1.9 miles in the open ocean in two hours, starting off with an average speed of 1.4 mph but decreasing to 0.8 mph. This resulted in a total distance of 2.8 miles.

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\(\text{L.H.S}\\\\=\dfrac{\cos^2 t +4\cos t +4}{\cos t +2 }\\\\\\=\dfrac{(\cos t)^2 + 2\cdot 2\cos t+2^2}{\cos t +2}\\\\\\=\dfrac{(\cos t +2)^2 }{\cos t +2}\\\\\\=\cos t +2\\\\\\=\dfrac 1{\sec t} +2\\\\\\=\dfrac{2\sec t +1}{\sec t}\\\\\\=\text{R.H.S}\\\\\text{Proved.}\)

The probability that a certain tire of this brand will last between 56,010 miles and 56,580 miles is approximately 0.0811 or 8.11%.

To find the probability that a certain tire of this brand will last between 56,010 miles and 56,580 miles, we need to calculate the z-scores for both values and use the standard normal distribution.

First, we calculate the z-score for 56,010 miles:
z = (56010 - 60000) / 1900 = -2.11

Next, we calculate the z-score for 56,580 miles:
z = (56580 - 60000) / 1900 = -1.79

Now, we use a standard normal distribution table or calculator to find the area under the curve between these two z-scores:

P(-2.11 < Z < -1.79) = 0.0811

Therefore, the probability that a certain tire of this brand will last between 56,010 miles and 56,580 miles is approximately 0.0811 or 8.11%.

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Using the normal distribution, it is found that:

1. 85% of NBA players are taller than Greg.

2. 15% are shorter.

3. A height of 6'11'' would be needed.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

Item 1:

The proportion is one subtracted by the p-value of Z, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{75 - 79}{3.9}\)

\(Z = -1.03\)

\(Z = -1.03\) has a p-value of 0.15

1 - 0.15 = 0.85.

85% of NBA players are taller than Greg.

Item 2:

100 - 85 = 15% are shorter.

Item 3:

This is X when Z has a p-value of 1 - 0.025 = 0.975, so X when Z = 1.96.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.96 = \frac{X - 75}{3.9}\)

\(X - 75 = 1.96(3.9)\)

\(X = 83\)

83 = 6 x 12 + 11.

A height of 6'11'' would be needed.

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Answer:

number is 18

Step-by-step explanation:

let the number be n then the quotient of the number and 2 is \(\frac{n}{2}\) , so

\(\frac{n}{2}\) - 4 = 5 ( add 4 to both sides )

\(\frac{n}{2}\) = 9 ( multiply both sides by 2 to clear the fraction )

n = 2 × 9 = 18

The number is 18

Patrick received a total of approximately $6,785.97 over the course of 52 weeks.

To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.

To find the sum of a geometric sequence, we can use the formula:

Sn = a * (r^n - 1) / (r - 1),

where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).

Plugging these values into the formula, we can calculate the sum of the sequence:

S52 = 10 * (1.1^52 - 1) / (1.1 - 1)

After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.

As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.

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Answer:

\(x = -1\)

Step-by-step explanation:

-Solve for \(x\) :

\(8x + 1 = -8 - x\)

-Add both side by \(x\) :

\(8x + 1 + x = -8 - x + x\)

\(9x + 1 = -8\)

-Subtract both sides by \(1\) :

\(9x + 1 - 1 = -8 - 1\)

\(9x = -9\)

-Divide both sides by \(9\) :

\(\frac{9x}{9} = \frac{-9}{9}\)

\(x = -1\)

So, the value of \(x\) is \(-1\).

Answer:

\( \boxed{\sf x = - 1} \)

Step-by-step explanation:

\( \sf Solve \: for \: x: \\ \sf \implies 8x + 1 = - 8 - x \\ \\ \sf Add \: x \: to \: both \: sides: \\ \sf \implies 8x + x + 1 = - 8 + (x - x ) \\ \\ \sf x - x = 0 : \\ \sf \implies 8x +x + 1 = - 8 \\ \\ \sf 8x + x = 9x : \\ \sf \implies 9x + 1 = - 8 \\ \\ \sf Subtract \: 1 \: from \: both \: sides: \\ \sf \implies 9x + (1 - 1 )= - 8 - 1 \\ \\ \sf 1 - 1 = 0 : \\ \sf \implies 9x = - 8 - 1 \\ \\ \sf - 8 - 1 : \\ \sf \implies 9x = - 9 \\ \\ \sf Divide \: both \: sides \: of \: 9 x = 9 \: by \: 9: \\ \sf \implies \frac{9x}{9} = - \frac{9}{9} \\ \\ \sf \frac{9}{9} = 1 : \\ \sf \implies x = - 1\)

Answer:

3×3-3=6 I think sorry if it ain't

Answer:

true

Step-by-step explanation:

because there's less humidity

Answer:

37x2+551x+53

Step-by-step explanation:

37x2+551x+53

The side length of the square = 5 in

If the side length of a square is represented as L

The area of the square is given by the formula:

Area, A = L²

Since the Area is given in the question as:

A = 25 in²

Substitute the value of A into the formula A = L²

25 = L²

Square root both sides:

The side length of the square = 5 in

The statement is true. If the two nonadjacent angles are formed by two intersecting lines, then the  angles are congruent

When two non-adjacent angles are formed with two intersecting lines then they are called​ opposite angles.

There are some properties of nonadjacent angles:

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95.1% of the proportion of observed variation in hardness can be explained by the simple linear regression model relationship between hardness and elapsed time.

Linear regression model:

In statistics, linear regression model defined the relationship between a dependent variable, y, and one or more independent variables, X.

Given,

Here we need to find the percentage of observed variation in hardness can be explained by the linear relationship between hardness and elapsed time.

In order to find the percentage we must know the definition of observed variation which means  the combined variation that is derived from all sources.

In order to solve this let us consider that the linear regression model is used by statisticians to predict the value of the response variable for given values of the predictor variables.

So, if there are two variables involved in the regression analysis, then the model is called a bivariate one.

Where as If there are more than two independent variables, then the regression model is known as the multiple regression model.

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