A medical researcher is studying the effects of a drug on blood pressure. Subjects in the study have their blood pressure taken at the beginning of the study. After being on the medication for 4 weeks, their blood pressure is taken again. The change in blood pressure is recorded and used in doing the hypothesis test.




Change: Final Blood Pressure - Initial Blood Pressure




The researcher wants to know if there is evidence that the drug affects blood pressure. At the end of 4 weeks, 36 subjects in the study had an average change in blood pressure of 2. 4 with a standard deviation of 4. 5.




Find the



p



-value for the hypothesis test

The probability is 0.6480.

The probability is 0.9629.

1. This can be computed using the standard normal distribution as follows:

z = (70 - 69.0) / 2.8 = 0.357

Using a standard normal table or calculator, we find that P(Z ≤ 0.357) ≈ 0.6480. Therefore, the probability that a male passenger can fit through the doorway without bending is approximately 0.6480.

2. = 2.8/√25 = 0.56 inches.

We want to find P(x < 70), which is the probability that the mean height of the 25 men is less than 70 inches. This can be standardized using the standard normal distribution as follows:

z = (70 - 69.0) / 0.56 = 1.79

Using a standard normal table or calculator, we find that P(Z < 1.79) ≈ 0.9629. Therefore, the probability that the mean height of the 25 men is less than 70 inches is approximately 0.9629.

Read more on probability here:https://brainly.com/question/24756209

#SPJ4

Answer:

y = 20x

brainliest pls

also it’s your for the last you’re

Step-by-step explanation:

since y is the total cost and x is the total hours at 20 dollars an hour then we have 20 times the number of hours to get y

Answer:

y = 20x

Step-by-step explanation:

Cost of x hours is:

20x

Hence, since y = total cost,

y = 20x

C) The ordered pair that represents the initial value of the function is of (0,3840), meaning that the graph of the function crosses the y-axis at the value of y = 3840.

D) The rate of change of the equation is of -128, meaning that when x increases by one, y is decreased by 128.

The following is the definition of a linear function's slope and intercept:

y = mx + b.

In which:

m is the slope, representing the rate of change, that is, by how much y changes when x is increased by one.

The value of y at x=0 is represented by the intercept, b. Hence the ordered pair is of (0,b).

The function is defined as follows for this problem:

y = -128x + 3840.

The slope and intercept are therefore given as follow:

m = -128, b = 3840.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

Answer:

\({:}\longrightarrow\)\(\sf 2x^3+20x^2+2ax^2+20ax \)

\({:}\longrightarrow\)\(\sf 2x^2 (x+10)+2ax (x+10)\)

\({:}\longrightarrow\)\(\sf (x+10)2x^2+2ax\)

\({:}\longrightarrow\)\(\sf (x+10)2x (x+a)\)

\({:}\longrightarrow\)\(\sf 2x (x+a)(x+10)\)

Answer:

783

Step-by-step explanation:

There are 52 weeks in a year. Divide 40,716/52 and you get $783 weekly.

Answer:

-3/2 = slope

Step-by-step explanation:

slope = rise/run

go down 3 units and to the right 2 units to get from point to point

the formula for the parabola that passes through the points, y = ax2 + bx + c. The values of a, b, and c are -9, -19,32 respectively.

The intersection of a right circular cone with a plane parallel to an element of the cone creates a plane curve, which is equivalent to a point moving so that its distance from a given point equals its distance from a fixed line.

based on the available facts;

Parabola fundamental: y = ax2 + bx + c

We can plug in three locations for (x, y) to get three equations at once.

(-4, -40):  40 = 4a - 2b + c   {equation 1}

(-3, -13):   -13 = 9a + 3b + c    {equation 2}

(-2,4): 4 = a - b + c        {equation 3}

Solve this system to find the values of a, b, c

Let's first eliminate variable c:

4a - 2b + c = -40   {equation 1}

 a -  b + c = 4   {equation 3}

---------------------  subtract

3a - b = -44

9a + 3b + c = -13    {equation 2}

 a -  b + c = 4   {equation 3}

--------------------  subtract

8a + 4b = -17

We now have two equations with 2 unknowns we can use to find a, b

3a - b = -44         {equation 4}

8a + 4b = -4   {equation 5}

Multiply equation 4 through by 4 and add equations

12a - 4b = -176

8a + 4b = -4

-----------------   add

20a = -180

a = 180/20

a = -9

8a + 4b = -4

4b = -76

b = -19

Plug these 2 values into one of the original equations and solve for c

4 = a - b + c        {equation 3}

4 = -9-19 + c

4 = -28 + c

4+28= c

c = 32

To know more about Parabola visit;

https://brainly.com/question/12793264

#SPJ9

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

Know more about Magnitudes here:

https://brainly.com/question/31022175

#SPJ11

Answer:

Step-by-step explanation:

Answer: 7/74

Step-by-step explanation:

P(G)=15/37*14/36

      = 1/37*7/2

      = 7/74

More about probability :

https://brainly.com/question/27342429

Answer:

5/2

Step-by-step explanation:

so to find the area of a rectangle it is width x length

10=Length

w=Width

10w=50

w=5cm=width

1/2(area of rectangle A)

1/2(50)=25

w(length of Rectangle A)=area

w(10)=25

w=25/10

w=5/2

Hope that helps :)

In 1940, John Atanasoff, a physicist from Iowa State University, wanted to solve a 29 x 29 linear system of equations. To solve this system using Gaussian elimination, it would have required approximately 29^3/3 = 24389 arithmetic operations.

In 1940, John Atanasoff developed the Atanasoff-Berry Computer (ABC), which was the first electronic computer. Atanasoff wanted to use the ABC to solve a 29 x 29 linear system of equations.

Know more about the linear system of equations

https://brainly.com/question/14323743

#SPJ11

Answer:

32.5 km

Step-by-step explanation:

6.5 / 2 = 3.25

3.25 x 10 = 32.5 km

Hope that helps!

Answer:

32.5 km

Step-by-step explanation:

Our ratio is 2cm: 10km

We can also write a ratio to look like a fraction. I'm attaching a picture. Sometimes it's easier to see that way.

We cross-multiply, then divide.

Ask any questions in the comments.

Answer:  6  8

Step-by-step explanation:

the dot will be line 6 and 8

if that makes sence

??

Answer:

50

Step-by-step explanation:

14^2+48^2

=2500

sqrt2500

=50

Answer: $6

Step-by-step explanation:

3.50 + 1.50 = 5

5 + 1 = 6

Since both sides are equal, we have shown that ∑(i=1 to 6) (dx_i + e) = d(∑\((i=1 to 6) x_i\)) + 6e. This represents the summation of the terms \((5x_3 + i)\) for i = 1 to 6.

To show that ∑(i=1 to 6) \((dx_i + e)\)= d(∑(i=1  \(x_i\)) + 6e, we can expand both sides and compare.

Left-hand side:

∑\((i=1 to 6) (dx_i + e) = (dx_1 + e) + (dx_2 + e) + (dx_3 + e) + (dx_4 + e) +\)(dx_5 + \(e) + (dx_6 + e)\)

                        = \(dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6 + e + e + e + e\)+ e + e

                        = \((dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6) + 6e\)

Right-hand side:

d(∑\((i=1 to 6) x_i)\)+ 6e = d\((x_1 + x_2 + x_3 + x_4 + x_5 + x_6)\)+ 6e

Now, let's compare the two sides:

Left-hand side: \((dx_1 + dx_2 + dx_3 + dx_4 + dx_5 + dx_6)\) + 6e

Right-hand side: d\((x_1 + x_2 + x_3 + x_4 + x_5 + x_6)\) + 6e

Since both sides are equal, we have shown that ∑\((i=1 to 6) (dx_i + e)\) = d(∑(i=1 to 6)\(x_i)\) + 6e.

To represent the equation\((5x_3 + 4) + (5x_3 + 5) + (5x_3 + 6) + (5x_3 +\)7) + \((5x_3 + 8) + (5x_3 + 9)\) using a Sigma operator notation, we can write it as:

∑\((i=1 to 6) (5x_3 + i)\)

This represents the summation of the terms \((5x_3 + i)\)for i = 1 to 6.

Learn more about summation here:

https://brainly.com/question/29334900

#SPJ11

We are given some information about a triangle, and with the information that we have we can solve this in 2 ways: using the cosine of angle C, or the sine of angle A, an angle which we know measures 60° because the sum of the internal angles of a triangle must be 180°. Let's use the second one:

We know that the sine of an angle is:

And by calculating 4√3 we know that it is 6.92, therefore, the correct answer is option A

Answer:

9 is correct

Step-by-step explanation:

please tell fast plzzzzzz

Answer:

y=32

Step-by-step explanation:

y/2 +22=38

y/2= 16

y=32

Answer: Y=32

Step-by-step explanation:

Answer:

\csc N = \frac{\text{hypotenuse}}{\text{opposite}}=\mathbf{\frac{25}{24}}

cscN= opposite

         hypotenuse = 24/25

​

Step-by-step explanation:

The equation of an arch for the given parabolic cross section is

y =  -2x² and its height is equal to 50 feet.

As given in the question,

Vertex of the parabola ( h , k ) = (0 , 0)

Focus is 0.5 foot below the given vertex.

Distance between focus and vertex 'a' = - 0.5

Standard equation of the parabola is given by:

( y - k ) = 4a ( x - h)²

Substitute the values we get,

( y - 0 ) = 4× (-0.5) ( x - 0)²

⇒ y = -2x²

Equation to represent the cross section of the given arch is

y = -2x²

Arch is 10 feet wide at ground level

⇒ x = 5 feet

Height of the arch is '( 0 - y)'

⇒ ( 0- y ) = 0 - 2(5)²

      = 50 feet

Therefore , the equation and height of the arch for the given parabolic cross section is equal to y =  -2x² and 50 feet respectively.

learn more about equation here

brainly.com/question/29657983

#SPJ4

If she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

For given question,

a basketball player makes approximately 69% of free throws.

So, the probability of success (p) = 0.69

the probability of failure (q) = 0.31

She plays in a game in which she shoots 7 free throws.

So, n = 7

We need to find the probability that she will make all 7.

Using Binomial probability Distribution,

For x = 7,

\(P(x = 7) =~ ^7C_7\times (0.67)^7\times (0.31)^{7-7}\\\\P(x=7)= 1\times 0.0606\times 0.31\\\\P(x=7)=0.0188\)

Therefore,  if she plays in a game in which she shoots 7 free throws, the probability that she will make all 7 = 0.0188

Learn more about the Binomial probability Distribution here:

https://brainly.com/question/15902935

#SPJ4

Answer:

6\(\sqrt{2}\)

Step-by-step explanation:

See attached worksheet.

Answer:

  (c)  6√2

Step-by-step explanation:

As with many multiple-choice problems, eliminating the impossible answers will give you the correct one.

The length marked z is the hypotenuse of the middle-sized triangle, so is longer than the legs of that triangle:

  8 < z

The length marked z is also the long side of the largest triangle, so will be shorter than the hypotenuse of that triangle:

  z < (1+8)

These limits tell you ...

  8 < z < 9

The only answer choice in that range is 6√2 ≈ 8.5.

  z = 6√2

All of the right triangles are similar, so the ratios of long leg to hypotenuse are the same for all:

  8/z = z/(1+8)

  72 = z² . . . . . . . . . . . cross multiply

  z = √72 = 6√2 . . . . . take the square root and simplify

6 full teams will be made.

If you take 62 and divide it by 9, you'll get a value of 6.88... or it can also be notated as 6 remainder 8. You will be able to make 6 full teams but your last team will only have 8 members, which does not have the full 9 members.