What is the probability of getting one or fewer people with a chronic heart condition in a sample of 22 if 25% of the population in this age bracket?

Answer:

It is B.

Step-by-step explanation:

A C is anything between 73-76 %, while a B is anything between 83-86 %

The value of the expression (f * g) by using two ways that is by direct integral and by Laplace transform is equal to (1/2)e^t/(1-t) - (1/2)e^t/(1+t) + C.

To compute the convolution of f(t) and g(t) by directly evaluating the integral in the definition of the convolution, we have:

(f * g)(t) = ∫f(w)g(t-w)dw

Substituting in the expressions for f(t) and g(t), we have:

(f * g)(t) = ∫e^w*e^(-6)(t-w)dw

This integral can be evaluated as follows:

(f * g)(t) = ∫e^(-5w)dw

(f * g)(t) = (-1/5)e^(-5w) + C

(f * g)(t) = (-1/5)e^(-5w) + C

To compute the convolution of f(t) and g(t) by computing the inverse Laplace transform of the product of the Laplace transforms of f(t) and g(t), we have:

F(s) = L{f(t)} = ∫f(t)e^(-st)dt = ∫e^t*e^(-st)dt = 1/(s-1)

G(s) = L{g(t)} = ∫g(t)e^(-st)dt = ∫e^(-6t)*e^(-st)dt = 1/(s+6)

Therefore,

F(s)G(s) = (1/(s-1))(1/(s+6)) = 1/(s^2-1)

To find the inverse Laplace transform of F(s)G(s), we use the following formula:

L^-1{F(s)G(s)} = ∫F(s)G(s)e^st ds

Substituting in the expression for F(s)G(s), we have:

L^-1{F(s)G(s)} = ∫(1/(s^2-1))e^st ds

This integral can be evaluated as follows:

L^-1{F(s)G(s)} = (1/2)e^st/(s-1) - (1/2)e^st/(s+1) + C

L^-1{F(s)G(s)} = (1/2)e^st/(s-1) - (1/2)e^st/(s+1) + C

Thus, the convolution of f(t) and g(t) can be computed either by directly evaluating the integral in the definition of the convolution or by computing the inverse Laplace transform of the product of the Laplace transforms of f(t) and g(t). In both cases, the result is:

(f * g)(t) = (1/2)e^t/(1-t) - (1/2)e^t/(1+t) + C

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Step-by-step explanation:

4 x 3 + 6

12 + 6

= 18

or

4 x (3+6)

4 x 9

= 36

depends whether the 3+6 is in brackets :)

Answer:

if x = 4

then,

4 (3 + 6)

12 + 24

= 36

Depends whether they are in brackets but usually i would consider it in this problem.

Without the brackets would be:

4 x 3 + 6

12 + 6 = 18

Answer:

257

Step-by-step explanation:

First you have to add all of them up then divide by how many there are:) good luck.

Answer:

Swim Club A: 30

Swim Club B: 50

Explanation:

Mean = Average of the numbers.

1. Add up all the numbers.

2.Divide by how many numbers there are.

Swim Club A:

Swim Club B:

Using the k from above find x given that y = 9.  Therefore, when y = 9, x is equal to 1.

We can use the formula for direct variation to find the constant of proportionality k:

Proportionality refers to the relationship between two variables where their ratio remains constant. In other words, as one variable changes, the other changes in proportion to it. This relationship is often expressed as a direct variation or an inverse variation.

Direct variation is a type of proportionality where the two variables increase or decrease at the same rate

y = kx

We are given that y = 27 when x = 3:

27 = k * 3

We can solve for k by dividing both sides by 3:

k = 27 / 3 = 9

So the constant of proportionality is 9.

Now, we can use this value of k to find x when y = 9:

y = kx

9 = 9x

Dividing both sides by 9, we get:

x = 1

Therefore, when y = 9, x is equal to 1.

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Answer:

4x=8

Step-by-step explanation:

4x=32

32/4=8

Answer:

x=8

Step-by-step explanation:

4x+25=57

Subtract 25 from both sides:

4x+25-25=57-25

Simplify:

4x=32

Divide both sides by 4:

4x/4=32/4

Simplify:

x=8

The graph of function f(x) and g(x) is parallel lines separated by 1 unit.

In this question we have been given two functions f(x) = - 3x + 4 and         g(x) = f(x) + 1

We need to graph these functions and then describe the graph.

The graph of given functions is as shown below.

The graph of function f(x) is a straight line with slope -3 and y-intercept 4.

The function g(x) is nothing but but function f(x) translated upward by 1 unit.

The graph of function g(x) is also a straight line with slope -3 and y-intercept 5.

Therefore, the graph of function f(x) and g(x) is parallel lines separated by 1 unit.

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Answer:

0.0625

Step-by-step explanation:

You can convert this into a fraction by entering this into a calc

Answer:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25

Answer:

Area of the shaded region= 4 units

Step-by-step explanation:

width (x-axis)= 3-1 = 2

length (y-axis) = 2-0 = 2

Area of rectangle= Length × Width

= 2 × 2 = 4

The confidence interval for the slope of the regression line relating performance score is 0.71
                   
sample size (n) = 20

slope (b1) = 3.92 and SE of slope = 0.71

Degrees of freedom = 20 - 2 = 18          

Using t-table we get, t-critical value at significance level of 0.10 with 18 degrees of freedom is,

tα/2=1.734

The 90% confidence interval for the slope of the regression line relating performance score and time to fatigue is,

B1±Tα/2*SE

3.92±1.734(0.71) (c)

Regression analysis is a statistical measure that is used in many different fields, including investing, finance, sales, marketing, science, mathematics, and others. It tries to figure out how closely one dependent variable is related to a set of other changing variables. They are commonly referred to as independent variables.

For example, how commodity prices relate to the shares of companies that trade in those commodities.


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Answer:

D

Step-by-step explanation:

this would simplify, in slope-intercept form, as y= 15x - 66

We are given the following points:

To determine the slope-intercept form of the equation we need to use the following general form of a line equation:

Where "m" is the slope and "b" is the y-intercept. The value of the slope is given by the following formula:

Where:

Replacing in the formula for the slope:

Solving the operations:

Replacing the value of the slope:

Now we replace the point (x,y) = (0,-2) to get the value of "b":

Replacing in the equation of the line:

The length of FG is equal to the length of F'G'.

The perimeter of pentagon CDEFG is equal to the perimeter of pentagon C'D'E'F'G.

The properties of a translated shape are the shape and size of the translated shape are the same as that of the original shape. The orientation of the translated shape is the same as that of the original shape. The distance between the corresponding points of the translated shape and the original shape is constant.

The area and perimeter of the translated shape are the same as that of the original shape. The interior angles of the translated shape are the same as that of the original shape. The coordinates of the vertices of the translated shape are obtained by adding a constant value to the corresponding coordinates of the vertices of the original shape.

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Image transcribed:

Pentagon CDEFG is translated 7 units up and 5 units left, resulting in pentagon C'D'E'F'G' (not shown).

Part A

Select from the drop-down menu to correctly complete this sentence:

The length of FG is ___ the length of  F'G'.

Part B

The perimeter of pentagon CDEFG is ____ the perimeter of pentagon C'D'EF'G.

The required leaves values for the given stems are calculated below.

A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.

For example , 42, 34, 48, and so on.

Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.

Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.

4| 2, 8

3| 4

65​, 40​, 47​, 47​, 33​, 55​, 44​, 49​, 46​, 22​, 58​, 65​, 56​, 41​, 63​, 65​, 54​, 42​, 58​, 29​, 39​, 66 ​, 49​, 42​, 34​, 36​, 42​, 35​, 21​, 44​, 61​, 35​, 33​, 42​, 27​, 30​, 46​, 33​, 35​, 58.

As given in the question that the stem and Leaves are to be separated by a hyphen.

Stem-and-Leaf plot 6 -  5, 5, 3, 5, 6, 1

5 -  5, 8, 6, 4, 8, 8

4 -  0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6

3 -  3, 9, 4, 6, 5, 5, 3, 0, 3, 5

2 -  2, 9, 1, 7

As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.

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Answer:

Volume = lwh

V = 1.6 x 2.8 x 3.2

V = 14.336

V = 14.3 cubed

Yellow is the right answer.

The expression we would use to calculate the amount saved in the fund after t years is:

For 3 years (t = 3),

Trina would have $11,576.25 in the fund

Note: We are not given the weekly fee, but I'll assume it as $80 only to be able to solve the problem and explain the procedure.

Answer:

Ms. White will pay $110 if she drives 100 miles

Step-by-step explanation:

Ms. White wants to rent a car for a week. It costs a weekly fee of $80 plus a $0.30 fee per mile driven.

If we call m = the number of miles driven by Ms. White during the week, then the cost of renting the car is:

C(m)= 80 + 0.30m

If Ms. White drives m=100 miles during the week, then the cost is:

\(C(100)= 80 + 0.30\cdot 100\)

C(100)= 80 + 30

C(100)= $110

Ms. White will pay $110 if she drives 100 miles

Answer:

1. The discount is 10%

2. 250

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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Answer:

2.4*18 = $43.2

stock price is $43.2

Step-by-step explanation:

Answer:

\(x=-\frac{4}{9}\)

Step-by-step explanation:

2x + 1 - 4x = 7x +5

First, take 7x to the left side.

2x + 1 - 4x - 7x = 5

Now take 1 to the right side.

2x - 4x - 7x = 5 - 1

Now combine like terms.

-2x - 7x = 4

-9x = 4

Now divide both sides by -9.

x = - 4/9

Answer:

2x+1-4x=7x+5

-->2x-4x-7x=5-1

-->-2x-12x=4

-->-9x=4

-->x=-4/9

-->x=-4/9

To evaluate the expression we need to remember that:

Then we have:

Therefore:

In the event that cells B1, C1, and D1 were highlighted and then used to fill E1, F1, and G1, the values we would see are A. Seat1Row2, Seat2Row2, Seat3Row2.

When using a spreadsheet, you can autofill succeeding cells if you highlight the preceding ones and then drag the cursor.

If Seat1Row1, Seat2Row1, and Seat3Row1 are in the cells B1, C1, and D1, then the spreadsheet would take note of the "1s" at the end of the values.

When it is then used to autofill the next cells, it would make this a 2 such that we see Seat1Row2, Seat2Row2, Seat3Row2.

If cells H1, I1, and J1 are filled, we would then see Seat1Row3, Seat2Row3, Seat3Row3.

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Answer:

amani has to use the positive line

Entry ticket = $7

Gift shop money = $g

Maximum to spend = $30

Inequality => 7+g ≤ 30

Hope it helps!