I don’t get it please can I have help :)

a.The probability that X > 37, P(X > 37) = 0.9641

b. P(X < 41) = 0.1587

c. X = 39

d. X = 42 and X = 50 (symmetrically distributed around the mean)

a. To find the probability that X > 37, we need to calculate the area under the normal distribution curve to the right of 37. Using the z-score formula:

z = (X - μ) / σ

where X is the given value, μ is the mean, and σ is the standard deviation, we can calculate the z-score:

z = (37 - 46) / 5 = -1.8

Using the cumulative standardized normal distribution table, we can find the corresponding probability. The table indicates that P(Z < -1.8) = 0.0359.

Since we are interested in P(X > 37), which is the complement of P(X ≤ 37), we subtract the obtained value from 1:

P(X > 37) = 1 - 0.0359 = 0.9641 (rounded to four decimal places)

b. To find the probability that X < 41, we calculate the z-score:

z = (41 - 46) / 5 = -1

From the cumulative standardized normal distribution table, we find that P(Z < -1) = 0.1587.

Therefore, P(X < 41) = 0.1587 (rounded to four decimal places).

c. To find the X-value for which 10% of the values are less, we need to find the corresponding z-score. From the cumulative standardized normal distribution table, we find that the z-score for a cumulative probability of 0.10 is approximately -1.28.

Using the formula for the z-score:

z = (X - μ) / σ

we rearrange it to solve for X:

X = μ + (z * σ)

X = 46 + (-1.28 * 5) ≈ 39 (rounded to the nearest integer)

Therefore, 10% of the values are less than X = 39.

d. To find the X-values between which 60% of the values are located, we need to determine the z-scores corresponding to the cumulative probabilities that bracket the 60% range.

Using the cumulative standardized normal distribution table, we find that a cumulative probability of 0.20 corresponds to a z-score of approximately -0.84, and a cumulative probability of 0.80 corresponds to a z-score of approximately 0.84.

Using the z-score formula:

X = μ + (z * σ)

X1 = 46 + (-0.84 * 5) ≈ 42 (rounded to the nearest integer)

X2 = 46 + (0.84 * 5) ≈ 50 (rounded to the nearest integer)

Therefore, 60% of the values are between X = 42 and X = 50.

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Answer:

answer is A

Step-by-step explanation:

p: shape is a triangle

q: a shape has four sides

The statement that has to be true is p v q.

Logic is a means of expression which involves the use of symbols to represent statements.

Since the shape has to be a rectangle then it follows that the statement that has to be true is p v q.

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The probability of making no sales in 100 tries is 0.97^100. That's equal to about 0.0476, so the probability of getting at least one sale is 0.9524. About 95%.

If the probability of making a sale is 0.03 then the probability of not making a sale must be 1-0.03 which is 0.97.

So looking at contacting 100 prospects, you could say there are two general outcomes. Either the salesman makes no sales at all, or he makes at least one sale. There are no other possible outcomes, so the probability of those two outcomes must add up to 1.

So the probability of making of at least one sale is 1 minus the probability of making no sales.

The probability of making no sales in 100 tries is 0.97^100. That's equal to about 0.0476, so the probability of getting at least one sale is 0.9524. About 95%.

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Answer:

Candy canes are a classic Christmas treat, traditionally white with red stripes and flavored with peppermint. They have been popular since the 1600s and are thought to have originated in Germany. Today, 90 percent of all candy canes are sold between Thanksgiving and Christmas.

In a bag of Christmas treats, there are 3 red candy canes for every 5 gingerbread men. If there total is 40 treats, then the number of candy canes will be 24. This can be calculated by taking 40 divided by 8 (5+3) which equals 5, and then multiplying this by 3 which equals 15. Therefore, 24 candy canes are included in the bag of 40 Christmas treats.

Step-by-step explanation:

Answer:

C) 3

Step-by-step explanation:

This is just a differences of squares:

\((a+b)(a-b)=(a^2-b^2)\\\\(\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2})=(\sqrt{5}^2-\sqrt{2}^2)=5-2=3\)

Answer:

(c) 3

Step-by-step explanation:

\((\sqrt{5} +\sqrt{2} )(\sqrt{5} -\sqrt{2} )=(\sqrt{5} )^{2} -(\sqrt{2} )^{2} =5-2=3\)

Hope this helps

Answer:

The answer is D

Step-by-step explanation:

2x+10 <-8

2x<-8-10

2x<-18

x<-9

it displays the computed sum and product of the diagonal elements.

Here's a MATLAB code to find the sum and product of the diagonal elements of a given matrix `A`, as well as an example execution for `A = ones(5)`:

```matlab

% Define the matrix A

A = ones(5);

% Get the size of the matrix

[n, ~] = size(A);

% Initialize variables for sum and product

diagonal_sum = 0;

diagonal_product = 1;

% Calculate the sum and product of diagonal elements

for i = 1:n

   diagonal_sum = diagonal_sum + A(i, i);

   diagonal_product = diagonal_product * A(i, i);

end

% Display the results

disp("Sum of diagonal elements: " + diagonal_sum);

disp("Product of diagonal elements: " + diagonal_product);

```

Example execution for `A = ones(5)`:

```

Sum of diagonal elements: 5

Product of diagonal elements: 1

```

In this example, `A = ones(5)` creates a 5x5 matrix filled with ones. The code then iterates over the diagonal elements (i.e., elements where the row index equals the column index) and accumulates the sum and product. Finally, it displays the computed sum and product of the diagonal elements.

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After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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Step-by-step explanation:

Starting with x^2 + 6x = 9:

1. Move the constant term to the right side: x^2 + 6x - 9 = 0

2. Find the coefficient of x (which is 6) and divide it by 2: 6/2 = 3

3. Square the result from step 2: 3^2 = 9

4. Add the result from step 3 to both sides of the equation to complete the square: x^2 + 6x + 9 = 18

5. Factor the left side of the equation: (x + 3)^2 = 18

6. Take the square root of both sides of the equation: x + 3 = ±√18

7. Simplify the right side of the equation: x + 3 = ±3√2

8. Solve for x by subtracting 3 from both sides of the equation: x = -3 ±3√2

So the solutions are x = -3 + 3√2 and x = -3 - 3√2.

PLS mark my answer brainliest

Solving we get that option (C) that is x equals plus or minus root 18 minus 3 is correct.

Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square.

The steps of the method are as follows:

Isolate the number or variable c to the right side of the equation. Divide all terms by a (the coefficient of x2, unless x2 has no coefficient). Divide coefficient b by two and then square it. Add this value to both sides of the equation.

1). \(x^2+6x+\huge \text(\dfrac{6}{2} \huge \text)^2 =9+\huge \text(\dfrac{6}{2} \huge \text)^2\)

2). \(\huge \text(x+\dfrac{6}{2} \huge \text)^2=18\)

3). \((x+3)^2=18.\)

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Complete Question-

Solve x2 + 6x = 9 for x by completing the square.

A. x = −6

B. x = 0

C. x equals plus or minus square root of 18 minus 3

D. x = x equals plus or minus square root of 18 plus 3

10,20,30,40,50,60,70,80,90

I hope this helps you feel free to contact me

The horizontal distance between the base of the ladder and the wall is  6.77 feet.

Length of the ladder = 28 feet

Angle made by ladder with ground = 76°

If we correlate this scenario with a right-angle triangle, the ladder will be the hypotenuse while distancing between the base of the ladder and the wall will be the adjacent side.

The cosine of an angle is the ratio of the adjacent side(of that angle) to the hypotenuse of the triangle.

So, \(Cos 76 = \frac{ADJACENTside}{28}\)

Adjacent side = 28Cos76°

Adjacent side = 6.77 feet

Therefore, the horizontal distance between the base of the ladder and the wall is  6.77 feet.

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Answer:

The equation of the second line is;

y = 4x - 27

Step-by-step explanation:

Firstly, we need the slope of the first line

To get the slope, we need the equation in the general form of ;

y = mx + c

where m is the slope of the line

Thus, we have in this case, to divide through by -5

That will give the slope value as -5/20 = -1/4

If two lines are perpendicular, the product of their slopes is -1

The slope of the line we want to calculate, let us call it m

m * -1/4 = -1

-m = -4

m = 4

So we want to write the equation of a line with slope 4 and point (8,5)

We proceed to use the point-slope form

That will be;

y-y1 = m(x-x1)

y-5 = 4(x-8)

y-5 = 4x-32

y = 4x -32 + 5

y = 4x -27

Answer:

Step-by-step explanation:

Vince bought six boxes of worms to use as bait while fishing what his friends if each person uses exactly 3/8 of a box of worms, the number of people who can share the boxes of worms is 16.

The number of people who exactly share the boxes is determined through division of total number of boxes by fraction of box used by each person exactly.

The given information to compute the required information is:

The total number of boxes = 6

Box used by each person = 3/8

Therefore,

Number of people = Number of Boxes/Part of Box Used by One Person = 6÷ 3/8 = 6 x 8/3 = 16

Hence, the number of people who can share the six boxes exactly are 16 people.

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Answer:

12

Step-by-step explanation:

you take 50 diveded by .24 (for 24%) which is 12

Answer:

48%, or 24 candies

Step-by-step explanation:

Since there is 50 candies, and the percentenc is based on 100%, you can double the percent of the amount of green candies to see how many there are.

Answer:

  make use of the corresponding angles theorem and the transitive property

Step-by-step explanation:

In the given diagram, you want to prove ∠GJI≅∠LKF.

2. ∠GJI≅∠CLH . . . . corresponding angles are congruent

3. ∠CLH≅∠LKF . . . . corresponding angles are congruent

4. ∠GJI≅∠LKF . . . . transitive property of congruence

__

Additional comment

The transitive property tells you ...

  if A≅B and B≅C, then A≅C.

Answer:

\(y > \frac{2x}{3} + 1\)

Step-by-step explanation:

Given:

The graph in the attachment where the coordinates are (3,3) and (-3,-1)

Required:

Which inequality represent the graph

The first step is to determine the slope of the graph

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Where m represents the slope, \((x_1, y_1) = (3,3)\) and \((x_2, y_2) = (-3,-1)\)

\(m = \frac{-1 - 3}{-3 - 3}\)

\(m = \frac{-4}{-6}\)

Simplify to lowest term

\(m = \frac{2}{3}\)

Next is to determine the equation of the line using the slope formula

\(m = \frac{y - y_1}{x - x_1}\), \((x_1, y_1) = (3,3)\)  and \(m = \frac{2}{3}\)

\(\frac{2}{3} = \frac{y - 3}{x - 3}\)

Cross multiply

\(2 * (x - 3) = 3 * (y - 3)\)

Open both brackets

\(2 x - 6 = 3y -9\)

Collect like terms

\(2 x - 6 +9= 3y\)

\(2 x+3= 3y\)

Divide through by 3

\(\frac{2x}{3} + \frac{3}{3} = \frac{3y}{3}\)

\(\frac{2x}{3} + 1 = y\)

Reorder

\(y = \frac{2x}{3} + 1\)

Next is to determine the inequality sign

The inequality becomes

\(y > \frac{2x}{3} + 1\)

Answer:

Step-by-step explanation:

It’s 2.3 times more likey

The density function of area is is ½({(y/\pi)}^{1/2}(e^{{\lambda(y/\pi)}^{1/2}}+ e^{{-\lambda(y/\pi)}^{1/2}}).

A random variable can be defined as a variable whose value is unknown or as a function that assigns numerical values to each of the outcomes of an experiment. It can also be defined as a rule that assigns a numerical value to each outcome in a sample space.

The density function (1.4-5)P(x) = an exp(-ax), if x0,0, if x>0, where an is any positive real number, defines the exponential random variable.

radius R has df f(r) ={\lambdae}^{-\lambdar}

area Y= *r2

r = \pm (Y/(\pi))1/2

hence P(Y<y) =F(Y) =P( *r2<y) =P(r<+/- (Y/( ))1/2 ) = \int_{{-y/\pi}^{1/2}}^{{(y/\pi)}^{1/2}}{\lambdae}^{-\lambdar} dr

= e^{{\lambda(y/\pi)}^{1/2}}- e^{{-\lambda(y/\pi)}^{1/2}}

Therefore P(df of y) = f(y) = d/dyf(y) =(d/dy) (e^{{\lambda(y/\pi)}^{1/2}}- e^{{-\lambda(y/\pi)}^{1/2}})

= ½({(y/\pi)}^{1/2}(e^{{\lambda(y/\pi)}^{1/2}}+ e^{{-\lambda(y/\pi)}^{1/2}})

Therefore the density function of area is ½({(y/\pi)}^{1/2}(e^{{\lambda(y/\pi)}^{1/2}}+ e^{{-\lambda(y/\pi)}^{1/2}})

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If a relationship between two variables is considered statistically significant, it indicates that the variables are related in the population represented by the sample.

The order of the ARIMA process:a. ARIMA(2, 1, 3) has an order of 6b. ARIMA(2, 0, 3) has an order of 5c. ARIMA(3, 0, 2) has an order of 5d. ARIMA(3, 1, 2) has an order of 6e. ARIMA (3,3,0) has an order of 3Therefore, the order of the ARIMA process for each of the given values is: ARIMA(2,1,3) is 6, ARIMA(2,0,3) is 5, ARIMA(3,0,2) is 5, ARIMA(3,1,2) is 6, and ARIMA (3,3,0) is 3.2. If a relationship between two variables is called statistically significant, it means the investigators think the variables are related in the population represented by the sample.The correct option is d. related in the population represented by the sample.Statistical significance indicates that there is a very low probability that a pattern in the data appeared by chance, rather than a real relationship between the variables. Therefore, if a relationship between two variables is considered statistically significant, it indicates that the variables are related in the population represented by the sample.

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The integral for the volume of the solid is:

V = ∫[0,8] 2π(12 - x)(9x - x²) dx.

The method of cylindrical shells can be used to compute an integral for the volume of a solid obtained by rotating the region bounded by the curves y = 10x - x², y = x about the line x = 12.

The rotation axis is x = 12, which is a vertical line that passes through the point (12, 0).

The next step is to determine the integration's limits. At x = 0 and x = 8, the curves y = 10x - x² and y = x intersect. We'll integrate with respect to x, so the integration range will be from x = 0 to x = 8.

We can now apply the formula for the volume of a cylindrical shell:

V = 2πrhΔx

where r denotes the distance from a point on the curve to the axis of rotation, h denotes the height of the shell, and x denotes the thickness of the shell.

We have the following solutions to our problem:

r = 12 - x (the distance between x = 12 and a point on the curve)

h = y2 - y1 = (10x - x²) - x = 9x - x²

Δx = dx

As a result, the integral for the solid's volume is:

dx = V = [0,8] 2(12 - x)(9x - x²).

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1) The solution is (2, 4).

2) The solutions are (-1, -5) and (2, 4).

3) The solutions are (3, -5) and (-2, 5).

1) Y = x^2 and y = 4x - 4

Substitute y from the second equation into the first equation to get:

x^2 = 4x - 4

Simplifying and rearranging:

x^2 - 4x + 4 = 0

(x - 2)^2 = 0

x = 2

Substitute x = 2 into the second equation to get:

y = 4(2) - 4 = 4

Therefore, the solution is (2, 4).

2) Y = -x^2 + 2x - 4 and y = 3x - 2

Substitute y from the second equation into the first equation to get:

-x^2 + 2x - 4 = 3x - 2

Simplifying and rearranging:

-x^2 - x - 2 = 0

(x + 1)(x - 2) = 0

x = -1 or x = 2

Substitute x = -1 into the second equation to get:

y = 3(-1) - 2 = -5

Substitute x = 2 into the second equation to get:

y = 3(2) - 2 = 4

Therefore, the solutions are (-1, -5) and (2, 4).

3) Y = x^2 - 3x - 5 and y = -2x + 1

Substitute y from the second equation into the first equation to get:

x^2 - 3x - 5 = -2x + 1

Simplifying and rearranging:

x^2 - x - 6 = 0

(x - 3)(x + 2) = 0

x = 3 or x = -2

Substitute x = 3 into the second equation to get:

y = -2(3) + 1 = -5

Substitute x = -2 into the second equation to get:

y = -2(-2) + 1 = 5

Therefore, the solutions are (3, -5) and (-2, 5).

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Answer:

2.25 or 2 1/4

Step-by-step explanation:

20 1/4 divided by 9 is 2 1/4 :)

Answer:

2.25 lbs each

Step-by-step explanation:

you do 20.25 divided by 9 which gives you an answer of 2.25 lbs or 2 1/4 lbs.

hope this helped

Answer: 14 tomatoes were rotten

Step-by-step explanation:

Total number of tomatoes picked by Mrs Larkin= 70

Fraction of tomatoes rotten =4/20

Number of tomatoes rotten = fraction of tomatoes rotten x Total number of tomatoes picked

= 4/20 x 70

=1/5 x70

=14

Answer:

GH = 11

Step-by-step explanation:

Triangle KGJ is a mini version (I don't remember my terminology, it's been years) of Triangle KHI.

This means that the ratio between the sides on Triangle KGJ should be the same as the ratio between the sides on Triangle KHI.

KJ/KG  =  KI/KH

48/22  =  (48 + 24) / (22 + GH)

48/22  =  72 / (22 + GH)

(48/22) * (22 + GH)  =  72

22 + GH  =  72 / (48/22)

GH  =  [72 / (48/22)] - 22

GH  = [72 * (22/48)] - 22

GH = [72 * 22 / 48] - 22

GH = [1584 / 48] - 22

GH = [33] - 22

GH = 11

Answer:B 8;45

Step-by-step explanation:

Answer:

Dont be sad :) The answer is B but give brainliest to the other person ʕ •ᴥ•ʔ

Step-by-step explanation:

Answer:

C???????????????¿?????????¿???

Answer:

x=19

Step-by-step explanation:

Answer: this might help

It will take approximately 117 hours for the drug to decay to 12.5% of the original dosage.

To calculate the time it takes for the drug to decay to a certain percentage, we use the formula A = A₀(1/2)^(t/h), where A₀ is the initial dosage, t is the time elapsed, h is the half-life and A is the final dosage. Rearranging the formula, we get t = (h/log(1/2)) x log(A/A₀). In this case, we want to find the time it takes for the drug to decay to 12.5% of the original dosage, so A/A₀ = 0.125. Substituting the values, we get t = (39/log(1/2)) x log(0.125) ≈ 117 hours. Therefore, it will take approximately 117 hours for the drug to decay to 12.5% of the original dosage using the exponential decay model.

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