²\(2x^2-1414x=24\)

Answer:

99

Step-by-step explanation:

(√3−(−2√3))^2+(−√2−5√2)^2

Subtracting a negative is like adding

(√3+(2√3))^2+(−√2−5√2)^2

Taking the first term

(√3+(2√3))(√3+(2√3))

sqrt(3)^2 +2 sqrt(3) * sqrt(3) +2 sqrt(3) * sqrt(3)  + (2 sqrt(3))^2

3 + 2 *3 + 2*3 + 4*3

3 +6+6+12

27

Second term

(−√2−5√2)(−√2−5√2)

-sqrt(2)*-sqrt(2) -sqrt(2)*-5sqrt(2) -sqrt(2)*-5sqrt(2) -5sqrt(2)*(-5sqrt(2))

2 +5*2 +5(2) +25(2)

2+10+10+50

72

Add the two terms together

27+72

99

Answer:

d = 6(√3 - 2√2)

Step-by-step explanation:

d = (√3 - (-2 √3) * 2 + (-√2 - 5√2) * 2

d = (√3 + 2√3)   * 2 + (-√2 - 5√2) * 2

d = 3√3              * 2 + (-6√2)         * 2

d = 6√3                   + (-12√2)

d = 6√3 - 12√2

d = 6(√3 - 2√2)

The probability of randomly choosing atleast one defective item would be 0.33657

Given the Parameters :

Defect rate = P(defect) = 0.05

Probability = required outcome / Total possible outcomes

P(atleast 1 is defective) = 1 - P(none is defective)

P(not defective) = 1 - P(defective) = 1 - 0.05 = 0.95

P(none is defective) = P(non defective)^5

P(none defective) = 0.95 × 0.95 × 0.95 × 0.95 × 0.95 × 0.95 × 0.95 × 0.95= 0.6634

P(atleast one is defective) = 1 - 0.6634 = 0.33657

Therefore, probability of atleast one defective item is 0.33657

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The appropriate p-value for the given test statistic and hypotheses is approximately 0.0253.

Tο determine the apprοpriate p-value fοr the given hypοthesis test, we need tο use the t-distributiοn and the t-statistic value οbtained.

Given:

Null hypοthesis (H0): μ = 130 (pοpulatiοn mean)

Alternative hypοthesis (HA): μ > 130 (pοpulatiοn mean)

T-statistic: t = 2.73

Degrees οf freedοm: df = 5

Tο calculate the p-value, we cοmpare the t-statistic tο the t-distributiοn.

Since the alternative hypοthesis is μ > 130, it is a οne-tailed test, and we are interested in the right tail οf the t-distributiοn.

Using a t-table οr a statistical sοftware, we can determine the p-value assοciated with the t-statistic and the degrees οf freedοm.

Fοr a t-statistic οf 2.73 with 5 degrees οf freedοm, the p-value is apprοximately 0.0257 (assuming a twο-tailed test).

Since we have a οne-tailed test, the apprοpriate p-value is half οf the twο-tailed p-value:

p-value = 0.0257 / 2 = 0.01285

Therefοre, the apprοpriate p-value fοr the given hypοthesis test is apprοximately 0.01285.

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The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

Answer:

36 times

Step-by-step explanation:

Because half the marbles are blue, you can predict that about half of the 72 times you will choose the blue marble, or 36 times.

Step-by-step explanation:

sin60° = Opposite / Hypotenuse = CD / CA = CD / 20cm.

Therefore CD = 20sin60° = 17.3cm.

At x=0, we can say that the series ∑\(Cn(X - 3)^n\) converges, as the given condition for convergence is satisfied at x=7, x=10, and x=0 is between the two values.  

At x=11, we can say that the series ∑\(Cn(X - 3)^n\) converges, as the given condition for convergence is satisfied at x=7 and x=11 is between the two values. At x=5, we can say that the series ∑\(Cn(X - 3)^n\) diverges, as the given condition for convergence is not satisfied at x=5.

The theory behind the question is the idea of a power series, which is an infinite series of terms where each term is a power of a variable raised to a constant. In this case, we have a series of the form:

\(Cn(X - 3)^n\)

here Cn is a constant. The question is asking about the behavior of this series as a function of the variable x, specifically whether it converges or diverges. The condition for convergence of a power series is that the absolute value of the coefficients (i.e., the absolute value of Cn) must be less than or equal to 1 for all values of x in the interval where the series is defined. If this condition is satisfied, then the series converges.

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Answer:

6.125

Step-by-step explanation:

Divide 24.50 by 4!

Answer:

$6.13 for each basket.

Bonus: $61.30 for ten baskets.

Step-by-step explanation:

To solve this, we would divide the $24.50 by four, because there are four baskets. We now know that she paid $6.13 (rounded from $6.125) for each basket. To solve for 10 baskets, you would take the price per basket of $6.13 and multiply it by ten, resulting in $61.30 for all ten baskets.

Hope this helps!

The probability of observing a value between 2% and 14% is approximately 0.854.

To calculate the probability of observing a value between 2% and 14% in a normal distribution with a mean of 9% and a standard deviation of 4%, we can use the Z-score formula.

The Z-score is calculated by subtracting the mean from the observed value and dividing it by the standard deviation:

Z = (observed value - mean) / standard deviation

For the lower value of 2%:

Z1 = (2 - 9) / 4

Z1 = -7 / 4

Z1 = -1.75

For the upper value of 14%:

Z2 = (14 - 9) / 4

Z2 = 5 / 4

Z2 = 1.25

Next, we need to find the cumulative probability associated with these Z-scores using the Z-table or a calculator. Looking up the values in the Z-table, we find:

P(Z < -1.75) ≈ 0.0401

P(Z < 1.25) ≈ 0.8944

To find the probability of observing a value between 2% and 14%, we subtract the cumulative probability of the lower value from the cumulative probability of the upper value:

P(2% < value < 14%) = P(-1.75 < Z < 1.25) = P(Z < 1.25) - P(Z < -1.75)

                    ≈ 0.8944 - 0.0401

                    ≈ 0.8543

Rounding to three decimal places and truncating, the probability of observing a value between 2% and 14% is approximately 0.854.

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Answer:

Did you find the answer? I need help with this too

Step-by-step explanation:

There is a 5/6 probability that you will remove pairs of socks to make sure you obtain a pair that is not navy.

Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.

Statistics is the study of events that follow a probability distribution.

So, we know that:

27 black socks.

18 grey socks.

9 navy socks.

Probability formula: P(E) = Favouravle events/Total events

Now, insert values in the formula as follows:

P(E) = Favouravle events/Total events

P(E) = 27+18/27+18+9

P(E) = 45/54

P(E) = 15/18

P(E) = 5/6

Therefore, there is a 5/6 probability that you will remove pairs of socks to make sure you obtain a pair that is not navy.

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Correct question:
in a pitch-black room, you have a drawer with 27 black socks, 18 grey socks, and 9 navy socks. What is the probability that you take out pairs of socks to ensure you get a pair that is not navy?

Answer:

12x + 8) /4

=[12 (2) + 8 ]/4

=[ 24 + 8 ]/4

=32/4

=8

Step-by-step explanation:

\

(12x+8)4

=(12x2 +8)4

=(24+8)4

=(32)4

=128

Answer:

29 inches

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² = 20² + 21² ( h is the hypotenuse )

   = 400 + 441 = 841 ( take the square root of both sides )

h = \(\sqrt{841}\) = 29

Answer:

Step-by-step explanation:

d= (3-10h)/f

The probability of event A given event C is 0.286, rounded to two decimal places. This means that, if we know that event C has occurred, then the probability of event A also occurring is 0.286.

The contingency table shows the distribution of two variables, A and C. Event A is whether a person is a smoker and event C is whether a person has lung cancer.

The table shows that 10 out of 30 people who have lung cancer are smokers, so the probability of event A given event C is 10/30 = 0.286.

To calculate the probability of P(A|C), we can use the following formula:

P(A|C) = (Number of people in both categories)/(Total number of people in category C)

In this case, the number of people in both categories is 10, and the total number of people in category C is 30. So, the probability of P(A|C) is 0.286.

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Answer:

malachy got 123 euros

Step-by-step explanation:

if i m right than give me brainliest

Answer: attach an image

Step-by-step explanation:

To find the principal, we can use the formula for simple interest:

I = P*r*t

where I is the interest, P is the principal, r is the interest rate, and t is the time in years.

We need to convert 82 days to years by dividing it by 365 (the number of days in a year):

t = 82/365

t = 0.2247

Now we can plug in the values we know and solve for P:

67.14 = P*0.0625*0.2247

P = 67.14/(0.0625*0.2247)

P = 1900

Therefore, the principal is $1900.

The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

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x2 = -2.0000. In this way, we get x2, the second approximation to the root of the equation using Newton's method with an initial approximation x1 = −2.

Newton's method is one of the numerical methods used to estimate the root of a function.

The following are the steps for using Newton's method:

Let the equation f (x) = 0 be given with an initial guess x1, and let f′(x) be the derivative of f(x).

Determine the next estimate, x2, by using the formula x2 = x1 - f (x1) / f'(x1).

Therefore, the given equation is x³ + x + 6 = 0.

Let us use Newton's method to solve the given equation. We have x1 = -2, which is the initial approximation.

Therefore, f(x) = x³ + x + 6, and f'(x) = 3x² + 1.

To find x2, the second approximation to the root of the equation, we need to substitute the values of f(x), f'(x), and x1 into the formula x2 = x1 - f (x1) / f'(x1).

Substituting the given values in the above equation we get, x2 = x1 - f (x1) / f'(x1) = -2 - (-2³ - 2 + 6) / (3(-2²) + 1) = -2 - (-8 - 2 + 6) / (3(4) + 1) = -2 - (-4) / 13 = -2 + 4 / 13 = -26 / 13

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The using the logarithm rules and given ln(5) and ln(7), we found the value of ln(175) to be ≈ 5.164.

To find the value of ln(175), using given ln(5) and ln(7), we need to use logarithm rules. Here are the steps to solve the problem.Step 1: First, let's recall the logarithm rules. The logarithm of a product is equal to the sum of the logarithms of the factors. Mathematically, logb (xy)

= logb x + logb y.Step 2: As we have to find the value of ln(175), we need to express it as a product of 5 and 7. We can write: 175

= 5 × 7 × 5.Step 3: Using the logarithm rule, we can write ln(175)

= ln(5 × 7 × 5)

= ln(5) + ln(7) + ln(5).Step 4: We are given ln(5) and ln(7). Let's substitute their values. Given, ln(5) ≈ 1.609 and ln(7) ≈ 1.946.Step 5: Substituting the values of ln(5) and ln(7) in the expression we got in step 3, we get:ln(175) ≈ 1.609 + 1.946 + 1.609 ≈ 5.164 (Rounded to 3 decimal places).The using the logarithm rules and given ln(5) and ln(7), we found the value of ln(175) to be ≈ 5.164.

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Answer:

x = -2/5 or x = -28/5

Step-by-step explanation:

Let's solve your equation step-by-step.

5(|2x+6|)=26

Step 1: Divide both sides by 5.

5(|2x+6|)/5 = 26/5

|2x+6|=26/5

Step 2: Solve Absolute Value.

|2x+6|=26/5

We know either2x+6= 26/5 r2x+6=−26/5

2x + 6 = 26/5(Possibility 1)

2x+6−6= 26/5 - 6 (Subtract 6 from both sides)

2x = -4/5

2x/2 = -4/5/2 (Divide both sides by 2)

x = -2/5

2x + 6=-26/5 (Possibility 2)

2x+6= -26/5 (Simplify both sides of the equation)

2x + 6 - 6 = -26/5  - 6 (Subtract 6 from both sides)

2x = -56/5

2x/2 = -56/5/2(Divide both sides by 2)
x = -28/5

Answer:

x = -2/5 or x = -28/5

Answer:

Step-by-step explanation:

      The expanded value of n! is (n) * (n - 1) * (n - 2) until we reach one.

      Given:

4! - ((11-2)!) / 8!)

      Rewrite:

\(\displaystyle 4! - \frac{(11-2)!}{8!}\)

      Subtract:

\(\displaystyle 4! - \frac{9!}{8!}\)

      Expand:

\(\displaystyle 4*3*2*1 - \frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1}\)

      Cancel out values that equal one in the fraction:

\(\displaystyle 4*3*2*1 - \frac{9}{1}\)

      Multiply:

\(\displaystyle 24 - \frac{9}{1}\)

      Simplify:

24 - 9

      Subtract:

15

Dilation is the process of making something scaled. In the rectangle with a length of 4 and a width of 2, there is no dilation.

A rectangle is a quadrilateral whose opposite sides are parallel and are of equal measurement.

Dilation is the process of making something bigger or wider or scaled.

As we have the length of the rectangle as 4 and the width of the rectangle as 2, which is the same as before as well. therefore, there is no change in the length or the breadth of the rectangle. Thus, we can say that there is no dilation in the length and breadth of the rectangle.

Hence, In the rectangle with a length of 4 and a width of 2, there is no dilation.

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Answer:

c

Step-by-step explanation:

i ate

Answer:

m = −2

Step-by-step explanation:

Answer:

m=-2

Step-by-step explanation:

8m+5=6m+1

8m-6m=2m

2m+5=1

1-5=-4

2m=-4

-4/2=-2

m=-2

Answer:

Answer:

A: (1,3)

A': (1,-3)

---

B: (5,1)

B': (5,-1)

---

C: (-2,2)

C': (-2,-2)

---

D: (-5,4)

D': (-5,-4)

The reflection of the given points over the x-axis is:

(-5, -4), (-2, -2), (1, -3), (5, -1)

By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related.

As per the given data:

We are given a graph, and we have to find the reflection of the points in the graph over the y-axis.

From the graph given, the points are as as follows:

Let's assume the points as A, B, C and D

A = (-5, 4)

B = (-2, 2)

C = (1, 3)

D = (5, 1)

The reflection over the x-axis are as follows:

A' = (-5, -4)

B' = (-2, -2)

C' = (1, -3)

D' = (5, -1)

Hence, the reflection of the given points over the x-axis is:

(-5, -4), (-2, -2), (1, -3), (5, -1)

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Answer:  25 ways.

Step-by-step explanation:

first we have  1,2,6. this can appear once.

4, can appear in twice.

\(= (3+2) * 5\\= 5*5\\= 25ways\)

by not including itself, an appearing on the left side. one number can be written 25ways