The systolic blood pressure of women is normally distributed with a mean of 150 mmHg. and a standard deviation of 10 mmHg. What percentage of a 50-year-old women have a systolic blood pressure between 130 mmHg. and 170 mmHg.?

Answer:

x = 48

Step-by-step explanation:

Given

the life expectancy of a circulating coin is 30 years

the life expectancy of a circulating dollar bill is only 1/20 as long.

Procedure

c=life expectancy of a circulating coin

p= life expectancy of circulating paper money

The answer is: life expectancy of a dollar bill = 1.5 years

We know that Pablo earns $40 every month.

Then, to calculate how much he makes in a year, we use the fact that a year has 12 months.

Then, we can write:

Answer: he earns $480 per year.

The inequality to solve is:

We can take the numbers to one side and variables to one and solve for x. Shown below:

This is the solution

Note: the open circle in '6' means the number six isn't included.

Answer:

[tex]f^{-1}(x)=-\frac{1}{4}(x+7)[/tex]

Step-by-step explanation:

[tex]f(x)=-4x-7 \implies x=-4f^{-1}(x)-7 \\ \\ x+7=-4f^{-1}(x) \\ \\ f^{-1}(x)=-\frac{1}{4}(x+7)[/tex]

From the given image, we can affirm that the function is continuous in all its domain. That's the interval:

In linear functions, the rate of change is equivalent to the slope of the line. In function A we already now the slope intercept equation, which means that we already now the slope of the function.

In this case, the slope of function A is -2 so is the rate of change.

To find the rate of change of function B, we need to use 2 of the ordered pairs in the formula to find the slope of a line:

Let's choose two of the given ordered pairs and replace for them in the formula. We are going to use (1,1) and (3,9):

The slope of function B is 4 so is the rate of change.

In conclusion, the correct choice is A. The rate of change of function A is -2. The rate of change of function B is 4.

The proportion is shown below and we cross multiply, do algebra, to solve it.

If you read the question, so will see this part:

if you multiply both sides of the equation by 3 you get 50 x equals 75

This is the part where there is a problem. You did say to multiply by 3 (both sides). But don't multiply the right hand side of "75" mistakenly.

The last part of this line should be "equals 75 times 3"

This is the mistake.

The Solution:

Required:

To prove that opposite sides are congruent in a parallelogram.

Step 1:

Draw a parallelogram.

Step 2:

Step 3:

Step 4:

Step 5:

Step 6:

When a system of equations has infinite solutions, you'll end up with a statements that's true no matter what. For example, 6=6. Or when the graphs of the equations are the same exact line.

Then:

3x+4y=12 and

6x+8y=24 divided by 2: 3x+4y=12. That means they are the same exact line, so it has infinite solutions.

The answer would be the first one and the third one.

Given a circle has a diameter = 10 feet

The circumference of the

112 the circle of the radius

Step-by-step explanation:

3122

Translation h units to the right and compressed by a factor A:

Then, if g(x) is f(x) after the given transformations, it has the next equation:

Answer:

Yes

Explanation:

The coordinate (-2,5) corresponds to the point (x, y).

This means that:

x= -2 and y=5

To check if the coordinate land on the equation y=2x+9, calculate the value of y when x= -2

Therefore, the coordinate (-2,5) land on the linear equation y = 2x + 9.

if we count the paths we have:

1. A to B the top part

2. Ato B the bottom part

3. we look after that A first top arrow, down one arrow and a straight line

and so on

i counted 12 different ways

To solve for x you can first divide by 12 into both sides of the equation, like this

Now, you can add 2.3 from both sides of the equation

Therefore, the value of x that satisfies the equation is

Finally, to check that this value satisfies the given equation, just plug x = 3.6 into the equation and see that a true proposition is reached. So, you have

To find 3.5% of 300, we have to multiply 0.035 by 300.

Answer:10.5

Step-by-step

We have here that all of these angles must sum 360 degrees since we have here a circle. Then, we have that:

Now, to solve this equation, we need to group and sum the like terms:

To isolate 11x, we need now to subtract 151 to both sides of the equation:

Divide both sides of the equation by 11:

We can check this solution if we substitute the value x = 19 in the original equation (after the simplification process):

Since the last result is TRUE, then the value for x = 19 is the correct solution.

In summary, the value for x = 19.

Answer:

2/3 of an acre

Explanation:

To find the size of each area, we divide the area of the garden by 5. This gives

Now at this point we remind ourselves that if we are dividing a fraction by a number, then we can turn the division into multiplication by taking the reciprocal of the number.

The number we are dividing our fraction by in this case is 5. Now, the reciprocal of 5 is 1/5 and so we can write the above as

Multiplying the denominators together gives

Now dividing both the numerator and the denominator by 5 gives

Hence,

Therefore, the size of each area is 2/3 of an acre.

Angela has 12 quartz of milk

Note:

1 gallon = 4 quartz

3 gallons of milk = (3 x 4) quartz

3 gallons of milk = 12 quartz of milk

Therefore, Angela has 12 quarz of milk

1. Domain, x ∈ [-9 , 8]

2. Range,   y ∈ [-10 , 10]

3. f(x) is not an increasing function, its a decreasing function.

4. f(x) is decreasing for interval,  x ∈ [-9,2] ∪ [7,8]

5. f(x) is constant function for the interval,   x ∈ [2,7]

Domain:- The value of x for which function f(x) is defined

Range : the value of y or f(x)

Increasing function: while increasing the value of x,  f(x)  is increasing and vice versa, called increasing function.

Decreasing function:  while increasing the value of x,  f(x)  is decreasing and vice versa, called increasing function.                              

From graph,

                     It seems very clear that,

1. Domain :-

                      x ∈ [-9 , 8]

                                       or      -9 ≤ x ≤ 8

2. Range :-

                       y ∈ [-10 , 10]

                                             or  -10 ≤ x ≤ 10

3. Interval for which f(x) is increasing :-

                       f(x) is not an increasing function, its a decreasing function.

4. Interval for which f(x) is decreasing:-

                       f(x) is decreasing for interval,

                                 x ∈ [-9,2] ∪ [7,8]

5. Interval for which f(x) is constant function

                      f(x) is constant function for the interval,

                                     x ∈ [2,7]

To learn more about Domain visit:https://brainly.com/question/28135761

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The Solution.

The slope of line BC is given below:

Substituting the values above into the formula, we get

Thus, the correct answer is -2.

Part a

the given polygon has 8 sides

so

Is a octagon

Part b

The given polygon is not a regular polygon, because all their sides don't have equal lengths and their interior angles are not equals

Step 1: Let's recall that Supplementary angles are two angles with a sum of 180∘

Step 2: Let's write the equation to solve the problem.

• Let x to represent the smaller angle,

• Let 5x to represent the bigger angle

Therefore, we have:

x + 5x = 180

6x = 180

Dividing by 6 at both sides:

6x/6 = 180/6

• x = You can calculate the value of x dividing 180 by 6 and that is the measure of the smaller angle.

• 5x = You multiply the value of x by 5 and that's the measure of the bigger angle.

Don't forget that the sum of both angles should be 180.

We have the next information

In total, we have 231 students

van--- 7 students

bus - 25 students

in total, we have 15 vehicles

So our first equation is

x+y=15

where

x is the number of vans

y is the number of buses

The second equation is

7x+25y=231

so we will isolate the x of the first equation

x=15-y

then we substitute this equation in the second equation

7(15-y)+25y=231

105-7y+25y=231

then we sum like terms

18y=126

then we isolate the y

y=126/18

y=7

Then for the value of x we use the equation with the x isolate and we substitute the value of y

x=15-7=8

Therefore the answer is 8 vans and 7 buses

We are given the following polynomials:

Now, we subtract the second polynomial from the first:

Now, apply the distributive property on the parenthesis. To do that we change the sign of each of the terms inside:

Now, we associate like terms.:

Now, we solve the operations of the like terms:

Since we can't simplify any further this is the final answer.

The greatest load that fits in the container is 24500kg

There are already 11300Kg loaded

Let x indicate the number of 40Kg crates, then 40x symbolized the total weight of the crates loaded.

You can express the inequality as

From this expression we can calculate the number of crates that can be loaded as follows:

You can load up to 330 crates into the container.

From the basic knowledge of pythagoras thorem,

EH

X ^2 = 40^2 + 9^2 = 1`600 + 81 = 1681

X = square root of 1681

= ET = EH = X = 41 feet

NI

y ^ 2 = 9 ^2 + 9^2 = 81 + 81 = 162

y = square root of 162

NI = T I = y = 12.72 feet

The perimeter of the Kite = EN + ET + NI + TI = 41 + 41 + 12. 72 + 12. 72 = 107.44 feet