Find the quartiles for these data values:

5,7,7,8,10,11,12,15,17

Answer:

x (the number) = 19

Step-by-step explanation:

We can translate this into a linear equation. We will use x as our variable (a number). We have:

4x + 21 = 6x - 17

We will add 17 to both sides, and subtract 4x from both sides, giving us:

38 = 2x

Then dividing both sides by 2 gives us:

x = 19

So, x (the number) = 19.

Hope this helped!

Please give Brainliest if possible!

Answer:

4x + 21= -17+6x

-2x= -38

x=19

Answer:

196

Step-by-step explanation:

70% multiply by 4/5(80%) which is 56%

56% times 350

When y = 100, x is approximately equal to 0.04.

If y varies inversely as x^2 and y = 16 when x = 5, we can find the values of x and y when y = 100.

To solve this problem, we can use the inverse variation formula, which states that y = k/x^2, where k is the constant of variation.

Given that y = 16 when x = 5, we can substitute these values into the formula to find the value of k.

16 = k/(5^2)
16 = k/25

To find k, we can cross multiply:
16 * 25 = k
400 = k

Now that we know the value of k, we can use it to find the value of y when x = 100.

y = k/(100^2)
y = 400/(100^2)
y = 400/10000
y = 0.04

Therefore, when y = 100, x is approximately equal to 0.04.

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A correlation does not simply mean that two or more variables are present together. The statement is false.

Correlation can be positive, negative, or zero.
Positive correlation means that as one variable increases, the other variable also increases. For example, there is a positive correlation between the amount of studying and exam scores.

Negative correlation means that as one variable increases, the other variable decreases. For example, there is a negative correlation between the number of hours spent watching TV and physical activity levels.

Zero correlation means that there is no relationship between the variables. For example, there is zero correlation between the number of pets someone owns and their height.

It's important to note that correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other to change.

To summarize, a correlation measures the statistical relationship between variables, whether positive, negative, or zero. It is not simply the presence of two or more variables together. The statement is false.

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12, 13, 15, 19 are the first four terms of the sequence aₙ = 2aₙ₋₁ - 11

a₁ = 12

aₙ = 2aₙ₋₁ - 11 for n≥2

We have to find the first four terms of the sequence

a₂ = 2a₂₋₁ - 11

=2a₁-11

=2(12)-11

a₂=24-11 = 13

Now let us find a₃

a₃=2a₂-11

=2(13)-11= 26-11

a₃ = 15

a₄=2a₃-11

=2(15)-11 = 19

Hence, 12, 13, 15, 19 are the first four terms of the sequence aₙ = 2aₙ₋₁ - 11

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The absolute maximum value of the function f(x) = x^3 - 3x^2 + 12 on the closed interval (-2, 4) occurs at x = 4.

To find the absolute maximum value of the function f(x) = x^3 - 3x^2 + 12 on the closed interval (-2, 4), we can find the critical points of the function within the interval and check the endpoints of the interval. A critical point is a value of x where the first derivative of the function is equal to zero or is undefined.

First we will find the first derivative of the function:

f'(x) = 3x^2 - 6x

The critical points occur when the first derivative is equal to zero:

3x^2 - 6x = 0

x(3x - 6) = 0

x = 0, x = 2

We now need to check if these critical points are maximum or minimum points. For this we need to calculate the second derivative of the function:

f''(x) = 6x - 6

If the second derivative at a critical point is positive, the critical point is a local minimum. If the second derivative at a critical point is negative, the critical point is a local maximum.

f''(0) = 60 - 6 = -6

f''(2) = 62 - 6 = 6

We can see that the second derivative at x = 2 is positive and the second derivative at x = 0 is negative, therefore x = 2 is a local minimum and x = 0 is a local maximum.

Now we need to check the endpoints of the interval to see if they are the absolute maximum or minimum

(-2)^3 - 3(-2)^2 + 12 = -2 - 12 + 12 = -2

(4)^3 - 3(4)^2 + 12 = 64 - 48 + 12 = 28

We can see that the maximum value of the function is 28 at x = 4 and the minimum value of the function is -2 at x = -2, so the absolute maximum value of the function f(x) = x^3 - 3x^2 + 12 on the closed interval (-2, 4) occurs at x = 4.

Therefore, The absolute maximum value of the function f(x) = x^3 - 3x^2 + 12 on the closed interval (-2, 4) occurs at x = 4.

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For which population is 636363 wins a legitimate estimate of the average longest streak: Only the top 200200200 longest streaks worldwide in June

Mean = sum of data / Number of data

The 200200200 longest streaks weren't randomly selected from a larger population. They are not representative of all players in the world or Canada, but they are the top 200200200 longest streaks of all players. So,

Only the top 200200200 longest streaks worldwide in June will win.

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Answer:

x=18

Step-by-step explanation:

previous number: x

x+72=5x

72=4x

x=18

Answer: 360

Step-by-step explanation: factor \(2^{3} * 3^{2} * 5\)

Answer: x=48

Step-by-step explanation:

first add 9 to both sides

then add 27 to 9 to get 36

multiply both sides by 3/4 the reciprocol of 4/3

and youll get x=36 x (4/3)

simply to a single fraction then

then divide 144 by 3  to get 48

The probability that more boys than girls are chosen is 0.4731. So option b is correct.

Combination:

The act of combining or the state of being combined. A number of things combined: a combination of ideas. something formed by combining: A chord is a combination of notes. an alliance of persons or parties: a combination in restraint of trade.

Here it is given that there are 18 boys and 19 girls and 5 students are chosen.

We have to find the probability that more boys than girls are chosen.

Probability = \(C^{5} _{18}\) + \(C^{4}_{18} C^{1} _{19}\) + \(C^{3} _{18} C^{2} _{19}\) / \(C^{5}x_{37}\)

                  = 8568 + 58140 + 139536 / 435897

                  ≈ 0.4731

Therefore the probability is 0.4731.

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Answer: retail price x 1.81

Step-by-step explanation:

Price 100

Mark up is 81 percen

100 plus .81 equal 181

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer:

Calculate 6-(-4)-5

so : 6-(-4)-5 = 5

The Answer is  5

if you calculate it you get 5

Both solutions satisfy the original equation. As a result, there are no extraneous solutions in this case.

To determine the number of extraneous solutions in the given equation, let's simplify it step by step:

Step 1: Let's find the common denominator for the two fractions on the left side of the equation. The common denominator is (2m + 3)(2m - 3).

Step 2: Apply the common denominator to both fractions:

[(2m)(2m - 3)]/[(2m + 3)(2m - 3)] - [(2m)(2m + 3)]/[(2m + 3)(2m - 3)] = 1

Step 3: Simplify the numerators:

\([4m^2 - 6m - 4m^2 - 6m]/[(2m + 3)(2m - 3)] = 1\)

[-12m]/[(2m + 3)(2m - 3)] = 1

Step 4: Cancel out common factors:

-12m = (2m + 3)(2m - 3)

\(-12m = 4m^2 - 9\)

Step 5: Rearrange the equation:

\(4m^2 + 12m - 9 = 0\)

Step 6: Solve the quadratic equation using factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:

\(m = (-b ± √(b^2 - 4ac))/(2a)\)

For our equation, a = 4, b = 12, and c = -9. Substituting these values:

m = (-(12) ± √((12)^2 - 4(4)(-9)))/(2(4))

m = (-12 ± √(144 + 144))/(8)

m = (-12 ± √288)/8

m = (-12 ± 12√2)/8

Simplifying further:

m = (-3 ± 3√2)/2

So, we have two potential solutions for m:

m = (-3 + 3√2)/2  and  m = (-3 - 3√2)/2

Now we need to check if these solutions satisfy the original equation. Let's substitute these values back into the equation:

For m = (-3 + 3√2)/2:

[(2(-3 + 3√2))/(2(-3 + 3√2) + 3)] - [(2(-3 + 3√2))/(2(-3 + 3√2) - 3)] = 1

Simplifying this equation, we find that it holds true.

For m = (-3 - 3√2)/2:

[(2(-3 - 3√2))/(2(-3 - 3√2) + 3)] - [(2(-3 - 3√2))/(2(-3 - 3√2) - 3)] = 1

Simplifying this equation, we also find that it holds true.

Therefore, both solutions satisfy the original equation. As a result, there are no extraneous solutions in this case.

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If the number of hours of sunlight at a certain location is represented by y = 6.4 cos(π/ 26 × x) + 12  where x represents the number of weeks after the summer solstice, the minimum number of hours of sunlight at this location is 26 hours.

The number of hours of sunlight where x denotes the number of weeks after the summer solstice is modelled by the equation,

y = 6.4 cos(π/ 26 × x) + 12 .

To obtain the minimum number of hours of sunlight, the above equation is differentiated with respect to x and equated to 0.

dy/ dx = π/ 26 × 6.4 × (-sin(π/ 26 × x)) = 0

Therefore, sin(π/ 26 × x) = 0

π/ 26 × x = 0 or π or nπ, n ∈ N

As we require minimum of x but not 0, we take π.

x = 26

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Step-by-step explanation:

1:13

2:26

3:39

4:52

5:65

6:78

Rule - ×13

Answer:

0.9 in the context represent the price of the ginger

It is called decreasing factor for the function because it decreases the price of the ginger

Step-by-step explanation:

Original price of fresh ginger ale = G

Coupon = 10% off

The actual price paid = 100% - 10% of G

= 90% of G

= 90/100 × G

= 0.9 × G

= 0.9G

0.9 in the context represent the price of the ginger

It is called decreasing factor for the function because it decreases the price of the ginger

Answer:

The percent, as a decimal, of the original price that Ray paysStep-by-step explanation:

thats straight from khan academy

We fail to reject the hospital's claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 41% at the 0.10 level of significance.

To determine if there is enough evidence to reject the hospital's claim that the proportion of full-term babies born in the community that weigh more than 7 pounds is 41%, we can conduct a hypothesis test.

Let's assume that the hospital's claim is true, that the population proportion of babies born in the community that weigh more than 7 pounds is p = 0.41. Then the null hypothesis would be

H0: p = 0.41

The alternative hypothesis would be that the proportion is different from 0.41, i.e., a two-tailed test

Ha: p ≠ 0.41

The significance level of the test is α = 0.10.

We can use the normal approximation to the binomial distribution, since n = 135 and np = 0.41 × 135 ≈ 55 and n(1 − p) = 80 are both greater than 10.

The test statistic is calculated as:

z = (x − np) / sqrt(np(1 − p))

where x = 44 is the number of babies in the sample who weigh more than 7 pounds.

Substituting the values, we get

z = (44 − 0.41 × 135) / sqrt(0.41 × 135 × 0.59) = 1.53

Using a standard normal distribution table, we find that the probability of getting a z-value of 1.53 or more extreme under the null hypothesis is 0.064.

Since this probability is greater than the significance level of 0.10, we fail to reject the null hypothesis. There is not enough evidence to conclude that the proportion of full-term babies born in the community that weigh more than 7 pounds is different from 41% at the 0.10 level of significance.

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The Earth is estimated to be around 4.54 billion years old, while the oldest known rocks found on Earth date back to about 4 billion years ago.

Determining the age of the Earth is a complex process that involves a variety of scientific disciplines. Geologists and other scientists have used a variety of methods to estimate the age of the planet, including radiometric dating, which involves measuring the decay of radioactive isotopes in rocks and other materials.

The age of the oldest known rocks found on Earth has also been determined using radiometric dating techniques. These rocks, which are primarily found in Western Greenland, have been dated to around 3.8 to 4.0 billion years old. The rocks are believed to have formed during the Hadean Eon, a period of Earth's history when the planet was still in its early stages of formation and was subject to intense meteorite bombardment.

It's important to note that the age of the Earth and the age of the oldest known rocks found on its surface are not precise measurements.

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Answer:

1 -5

don't know the answer of q2 and q3

Answer:

764 numbers

Step-by-step explanation:

Number of multiples of 2: is 2x50–2x499 which is 450 numbers.

Number of multiples of 3: 3x34–3x333 is 300 numbers

Multiples of 5: 5x20–5x199 is 180 numbers

Multiples of 2x3 or 6: 6x17–6x62 or 46 numbers.

Multiples of 3x5 or 15: 15x7–15x66 or 60

numbers.

Multiples of 2x5 or 10: 10x10–10x99 or 90 numbers.

Multiples of 2x3x5 or 30: 30x4–30x33 or 30 numbers.

450+300+180–46–60–90+30=

764 numbers.

The correct option that tests the given claim on statistics is; D. False. In statistics, results are not reported with 100% certainty. Because statistical studies draw on samples, and because there is variation within groups, results cannot be reported with 100 % certainty.

Statistical research is defined as the rigorous development of improved or new statistical methods grounded in probability and statistical theory.

Statistical data analysis is basically a procedure that is used to perform various statistical operations.

Now, from the question, the claim is that In statistics, results are always reported with 100 % certainty.

Now, this claim needs to be examined because there is no perfect human being and as such since statistics is drawn from a lot of samples and groups, there is guaranteed to be some form of variability in responses or results as the case may be.

Therefore, we can say that is option D.

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Answer:

x=15

y=63

Step-by-step explanation:

the volume occupied by the mixture of N2 and O2 gases at 0.83 atm and 42.7°C is approximately 41.62 liters.

To find the volume occupied by the mixture of gases, we can use the ideal gas law equation:

PV = nRT

Where:

P = pressure of the gases (in atm)

V = volume of the gases (in liters)

n = number of moles of gas

R = ideal gas constant (0.0821 L.atm/mol.K)

T = temperature of the gases (in Kelvin)

First, let's convert the temperature from Celsius to Kelvin:

T(K) = T(C) + 273.15

T(K) = 42.7 + 273.15

T(K) = 315.85 K

Now we can calculate the volume:

For N2:

n(N2) = 0.522 mol

P(N2) = 0.83 atm

T = 315.85 K

For O2:

n(O2) = 0.522 mol

P(O2) = 0.83 atm

T = 315.85 K

Using the ideal gas law for each gas:

V(N2) = (n(N2) * R * T) / P(N2)

V(O2) = (n(O2) * R * T) / P(O2)

Calculating the volumes:

V(N2) = (0.522 * 0.0821 * 315.85) / 0.83

V(N2) ≈ 20.81 L

V(O2) = (0.522 * 0.0821 * 315.85) / 0.83

V(O2) ≈ 20.81 L

Since the number of moles and pressure are the same for both gases, the volumes will also be the same.

To find the total volume occupied by the mixture of gases, we can sum the individual volumes:

V(total) = V(N2) + V(O2)

V(total) = 20.81 + 20.81

V(total) ≈ 41.62 L

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Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)