X−N(−2,4). Find Xc so that Prob(X>Xc)=0.4 NOTE: write your answer using 4 decimal digits. DO NOT ROUND UP OR DOWN. QUESTION 10 X−N(−2,4). Find C so that Prob(miu −C

Answer:

2.5

Step-by-step explanation:

10/4=2.5

Answer:

6,4,7,6

Step-by-step explanation:

There are 18 deluxe rooms in the hotel.

To find the number of deluxe rooms in the hotel, we need to calculate the percentage of rooms that are deluxe.

The percentage of single-bed rooms is 55%, and the percentage of double-bedrooms is 30%. Therefore, the percentage of deluxe rooms can be calculated as:

Percentage of deluxe rooms = 100% - (Percentage of single-bed rooms + Percentage of double-bedrooms)

= 100% - (55% + 30%)

= 100% - 85%

= 15%

So, 15% of the total rooms in the hotel are deluxe rooms.

To determine the number of deluxe rooms, we can multiply the total number of rooms by the percentage of deluxe rooms:

Number of deluxe rooms = 15% of 120 rooms

= (15/100) * 120

= 0.15 * 120

= 18

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Answer:

M=0

Step-by-step explanation:

(M)=4M+15(M)=7

We move all terms to the left:

(M)-(4M+15(M))=0

We add all the numbers together, and all the variables

M-(+19M)=0

We get rid of parentheses

M-19M=0

We add all the numbers together, and all the variables

-18M=0

M=0/-18

M=0

Solution;

Answer:

The 3 digit number 642 when multiplied 97 gives the greater product.

Step-by-step explanation:

The greatest product will result by multiplying the smaller 3 digit number with the greater two digit number.

The greater three digit number will be 976 and smaller 2 digit number would be 42

Multiplying

976*42 = 40992   ( descending order number)

679 *24= 16,296  ( ascending order number)

If we take the 2 digit number as 97 and  3digit number 642

Then multiplying

642* 97= 62,274  ( descending order  number)

246 * 79=19434   ( ascending order number)

The 3 digit number 642 when multiplied 97 gives the greater product.

Answer:

If you overshare online your talking to strangers who can learn more about you

Step-by-step explanation:

Another danger is that they can find out more about you and try to kidnap you

Answer:

See explanation.

Step-by-step explanation:

1.

Someone can steal your information.

2.

They can pretend to be you, if your info is stolen.

3.

They can pretend to be someone else. They can also get you out of your school or college, and cause you harm.

hope this helps.

Answer:

1) A. 5 + 2.75 * S ≤ 21

2) 5

Step-by-step explanation:

Well there is an initial price of $5 and $2.75 per stop, and she can only spend less than or equal to $21 we can make the following inequality,

5 + 2.75 * S ≤ 21,

Meaning, Q.1 is A

Now #2 is 5 stops because if we plug in 5 for s we get 18.75.

Thus, the most amount of stops she can afford is 5.

Hope this helps :)

The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

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Answer:

f = 59

g = 59

Step-by-step explanation:

f = 180 - 121

f = 59

g = 180 - 121

g = 59

21 days before I had both the lessons together.

For the occurrence of two events at the same time we will find the least common multiple.

If I have piano lessons on every 7th day and tuba lessons on every 3rd day,

Least common multiple of 3 and 7 will be,

Multiples of 3 = 1 × 3

Multiples of 7 = 1 × 7

Least common multiple (LCM) of 3 and 7 = 3 × 7

                                                                   = 21

Therefore, 21 days before I had both the lessons together.

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Answer:

It can be represented by the expression 2r, or “two times the radius.” So if you know a circle's radius, you can multiply it by 2 to find the diameter; this also means that if you know a circle's diameter, you can divide by 2 to find the radius. Find the diameter of the circle.

Step-by-step explanation:

you'r welcome :)

The tangent point and a second tangent point of a line with the same slope as the given line are (2.67, 6) and (2.57, 6.1).

The slope of the given line is -0.75.

The radius of the circle is |6 - 1.25| / -0.75 = 7.

The equation of the tangent line is y = -0.75x + c.

Substituting the coordinates of the center of the circle into this equation, we get 6 = -0.75 * 2 + c

Solving for c, we get c = 8.

The equation of the tangent line is y = -0.75x + 8.

The point of tangency is the point where the tangent line intersects the circle. To find the point of tangency, we need to solve the equation of the tangent line for x.

y = -0.75x + 8

6 = -0.75x + 8

-2 = -0.75x

x = 2.67

The point of tangency is (2.67, 6).

The second tangent point is the point where the tangent line intersects the circle at a different location. The direction of the tangent line is the same as the direction of the vector (-0.75, 1).

We can move the point of tangency a small distance in the direction of the tangent line by adding a small multiple of the vector (-0.75, 1) to the point of tangency.

Let's add a multiple of 0.1 to the point of tangency.

(2.67, 6) + 0.1 * (-0.75, 1)

= (2.57, 6.1)

The second tangent point is (2.57, 6.1).

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The line y = - 0.75x + 1.25 is tangent to a circle whose center is located at (2, 6) Find the tangent point and a second tangent point of a line with the same slope as the given line

you can go to this website called cliffnotes

Answer:

Rectangle, Rhombus and Square

Similarity in diagonals :

3rd one is the right answer.

Answer:

Step-by-step explanation:

Answer:

163.5 meters in one second

Step-by-step explanation:

54.5 = 1/3m

multiply both sides by 3:

163.5 = m

Answer:

Length = 32 feet

Width = 12 feet

Step-by-step explanation:

From the question;

Width = w

Length = 2w + 8

But the perimeter of a rectangle = 2(l + b)

perimeter = 88 feet

88 = 2(2w + 8 + w)

88 = 2(3w + 8)

88 = 6w + 16

88 - 16 = 6w

72 = 6w

w = 72/6

w = 12 feet

Hence;

Length = 2(12) + 8 =  32 feet

Dimensions of the rectangle is;

Length = 32 feet

Width = 12 feet

Answer:

\(x=-5 \pm 3\sqrt{2}\)

Step-by-step explanation:

\(x^2 +10x+7=0 \\ \\ x^2+10x=-7 \\ \\ x^2+10x+25=18 \\ \\ (x+5)^2=18 \\ \\ x+5=\pm 3\sqrt{2} \\ \\ x=-5 \pm 3\sqrt{2}\)

Answer:

x₁ = -9.24265

x₂ = -0.75735

Step-by-step explanation:

x² + 10x + 7 = 0

x = {-10±√((10²)-(4*1*7))} / (2*1)

x = {-10±√(100-28)} / 2

x = {-10±√72} / 2

x = {-10±8.4853} /2

x₁ = {-10-8.4853} / 2 = -18.4853/2 = -9.24265

x₂ = {-10+8.4853} / 2 = -1.5147/2 = -0.75735

Check:

x₁

-9.24265² + 10*-9.24265 + 7 = 0

85.4265 - 92.4265 + 7 = 0

x₂

-0.75735² + 10*-0.75735 + 7 = 0

0.5735 - 7.5735 + 7 = 0

Answer:

100cm

Step-by-step explanation:

From the given diagram;

Perimeter of the polygon = AB + BC+ CD + DA

Perimeter of the polygon = 11.5 + 12.5 + 12.5 + 13.5 + 13.5 + 12.5 + 12.5 + 11.5

Perimeter of the polygon = 24 + 26 + 26 + 24

Perimeter of the polygon = 50 + 50

Perimeter of the polygon = 100cm

Hence the Perimeter of the polygon is 100cm

Answer:

100 cm

Step-by-step explanation:

Answer: x ≅ -0.9 or -1.8

Step-by-step explanation:

\(3(3x+4)^2 - 6 = 0\)

\(3(3x+4)^2 = 6\)

\(3(9x^2+24x+16) = 6\)

\(9x^2+24x+16 = 2\)

\(9x^2+24x+14 = 0\)

Use the quadratric formula to get:

x ≅ -0.9 or -1.8

Prove that the equation \(x^5 + 5x + 1 = 0\) has exactly one solution in the interval (-1, 0).

To prove that the equation has exactly one solution in the given interval, we can use the Intermediate Value Theorem. According to this theorem, if a continuous function takes on different signs at two points in an interval, then it must have at least one root (solution) in that interval.

In this case, consider the function f(x) = \(x^5 + 5x + 1\). We can observe that f(-1) = -5 and f(0) = 1. Since f(-1) is negative and f(0) is positive, the function changes sign within the interval (-1, 0). Therefore, by the Intermediate Value Theorem, there must exist at least one root of the equation \(x^5 + 5x + 1 = 0\) in the interval (-1, 0).

To show that there is exactly one solution, we need to establish that the function does not change sign again within the interval. This can be done by analyzing the behavior of the function and its derivative. By studying the derivative, we can confirm that the function is increasing and crosses the x-axis only once in the given interval, ensuring that there is a single solution.

Therefore, we have proven that the equation \(x^5 + 5x + 1 = 0\) has exactly one solution in the interval (-1, 0).

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Answer:

$35

Step-by-step explanation:

Find the cost of 1 apple

$25/50 = 0.5

1 apple costs 50 cents/ 0.5 dollar

Multiply by 70 to find the cost of 70 apples

$0.5 x 70 apples = 35

$37.50. ...................

the probability of a patient with a tumor diameter of 5.5 and tumor coarseness of 0.7 being a non-cancer patient is approximately 0.9106, or 91.06%.

To find the probability of a patient with a tumor diameter of 5.5 and tumor coarseness of 0.7 being a non-cancer patient using the logistic regression model with the given mathematical function, we need to apply the sigmoid function to the linear combination of the features.

The sigmoid function, also known as the logistic function, is defined as:

σ(z) = 1 / (1 + e^(-z))

where z is the linear combination of the features. In this case, the linear combination is given by:

z = 0.2 + 0.25 * tumor_diameter + 1.1 * tumor_coarseness

Substituting the values of tumor_diameter = 5.5 and tumor_coarseness = 0.7 into the equation, we get:

z = 0.2 + 0.25 * 5.5 + 1.1 * 0.7

z = 0.2 + 1.375 + 0.77

z = 2.345

Now, we can calculate the probability using the sigmoid function:

P(non-cancer) = σ(z) = 1 / (1 + e^(-2.345))

Calculating this value, we find that:

P(non-cancer) ≈ 0.9106

Therefore, the probability of a patient with a tumor diameter of 5.5 and tumor coarseness of 0.7 being a non-cancer patient is approximately 0.9106, or 91.06%.

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Answer:

as the x value increases y values are decreases. you can know this by substituting

the values

The 95% confidence interval for the mean times teenagers think about food in one day is (97.22, 102.78).

A study of 50 teenagers revealed that the average number of times they thought about food in one day was 100 times with a standard deviation of 10. Develop a 95% confidence interval of the mean times teenagers think about food in one day.

In order to develop the 95% confidence interval, we must determine the test statistics.

The z-test is used to determine the test statistics, and it is defined as the difference between the sample mean and the population mean divided by the standard deviation:

z = (X - μ) / (σ / √n)

Where, X = sample mean

μ = population mean

σ = standard deviation

n = sample size

Substitute the given values, σ = 10, n = 50, μ = 100.

Using the above formula, we can determine the test statistics,

z = (X - μ) / (σ / √n)

z = (100 - 100) / (10 / √50)

z = 0

Thus, the test statistics is 0. Now, we can use the test statistics and a z-table to find the critical value of z for a 95% confidence interval. The z-table indicates that the critical value of z for a 95% confidence interval is 1.96.

Using this value and the formula for the confidence interval, we can determine the 95% confidence interval of the mean times teenagers think about food in one day: CI = X ± (z * σ / √n)

CI = 100 ± (1.96 * 10 / √50)

CI = 100 ± 2.78

Therefore, the 95% confidence interval for the mean times teenagers think about food in one day is (97.22, 102.78).

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x+119°=180°(Co-interior angles are supplementary m || n)

\(x = 180 - 119 \\ x = 61\)

y=119°(alternate angles are equal m ||n)

GOODLUCK.

Based on the survey, the estimated proportion (p) of customers planning to purchase Ultra-HD television sets or game consoles in the next five years is approximately 0.1 or 10%.

The estimate of p, the proportion of customers who plan to purchase Ultra-HD television sets or game consoles in the next five years, can be calculated by dividing the number of customers who plan to purchase by the total number of sampled customers.

In this case, the survey found that 50 out of 500 sampled customers plan to purchase. Therefore, the estimate of p is 50/500, which simplifies to 0.1 or 10%.

Hence, the estimate of p, based on this survey, is 0.1 or 10%.

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Answer:

percentage of lightbulb replacement requests =  34.15 %

Step-by-step explanation:

According to Empirical Rule

interval                                                          %

μ  ±  σ            55  ±  4     ( 51 ; 59 )              68.3

As the question is a percentage between    55  and  51

or  between  51   and  μ  -  σ    by symmetry    is  68.3/2

% of lightbulb replacement requests =  34.15 %

The survey firm needs a random sample of approximately 2401 adults in Ohio to achieve a standard deviation of 0.01 in the sampling distribution of the proportion of adults who support the increase in state sales tax.

To find the sample size needed, we can use the formula:
n = (z α/2 / E)^2 * p * (1-p)
where z α/2 is the z-score for the desired level of confidence (let's assume 95% confidence, so z α/2 = 1.96), E is the margin of error (in this case, 0.01), p is the estimated proportion (in this case, 0.4), and n is the sample size.
Plugging in these values, we get:
n = (1.96 / 0.01)^2 * 0.4 * (1-0.4)
n ≈ 9604
So the sample size needed is approximately 9604 adults in Ohio. This sample size should ensure that the standard deviation of the sampling distribution of the proportion who support the increase is no more than 0.01.
To determine the required sample size for the survey, we need to consider the proportion (p) of adults in Ohio who support the tax increase and the desired standard deviation (σ) of the sampling distribution. In this case, p = 0.40 and σ = 0.01.
The formula for the standard deviation of the sampling distribution of a proportion is:
σ = sqrt[(p * (1 - p)) / n]
Where n is the sample size.
To find the sample size, rearrange the formula:
n = (p * (1 - p)) / σ^2
Plug in the given values:
n = (0.40 * (1 - 0.40)) / 0.01^2
n ≈ 2401

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The probability that Kendra wins exactly 4 games when she plays 7 games is 64,798,11535.

The probability that Kendra will win a card game is 23. If Kendra plays 7 games

Probability of an event is given by:

P(event) = favorable outcomes / total outcomes

We are given that the probability of Kendra winning a card game is 23.

Thus, the probability of her losing a card game is:

P(Kendra loses) = 1 - P(Kendra wins)= 1 - 23= 13

Now, we need to find the probability that Kendra wins exactly 4 games when she plays 7 games. This can be done using the binomial probability formula which is given by:

\(P(x=k) = nCk × p^k × (1-p)^(n-k)\)

Here, n = 7 as Kendra plays 7 games, k = 4 as she wins exactly 4 games, p = 23 as this is the probability of her winning a card game and 1-p = 13 as this is the probability of her losing a card game.

\(P(x = 4) = 7C4 × 23^4 × 13^3= 35 × 24649 × 2197= 64,798,11535\)

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