Thirty minutes of exercise per day can reduce your blood pressure. Which of the following is a guideline for establishing causality?
a) Look for evidence that smaller amounts of exercise produces a reduction in blood pressure.
b) Check if lower blood pressure is present or absent when exercise is present or absent
c) Perform a randomized, controlled experiment.
d) Control the number of minutes of exercise and blood pressure to get the same results.

Answer:

Jane is 12 years old.

Harvey is 36 years old.

Step-by-step explanation:

The explanation is attached.

Answer:

y = [tex]\frac{2}{3} x + 9[/tex]

Step-by-step explanation:

I. If y = mx + b

  when y is output, x is input , m is slope and b is addition

 so y - 2x = 9

      y = 9 + 2x

      y = 2x + 9

Replace 2 with [tex]\frac{2}{3}[/tex]

     y = [tex]\frac{2}{3} x[/tex] + 9

Answer:

a is 3

Step-by-step explanation:

[tex]ay - 2x = 9 \\ ay = 2x + 9 \\ y = \frac{2}{a} x + \frac{9}{a} [/tex]

General equation:

[tex]{ \bf{y = mx + c}}[/tex]

m is slope; m = ⅔

by comparison:

[tex] \frac{2}{3} = \frac{2}{a} \\ \\ 2a = 6 \\ a = 3[/tex]

Step-by-step explanation:

The answer is mentioned above.

Answer:

58 to the nearest ten is = 60

Answer:

Here is your answer ⤵️

58 rounded to the nearest tens is 60.

Answer:

8 or 9

Step-by-step explanation:

4 times 8 equals 32, and 4 times 9 equals 36

Answer:

[tex]y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

Notice how y is isolated in slope-intercept form.

[tex]y+5=\displaystyle \frac{3}{2} (x-7)[/tex]

To change this into slope-intercept form, isolate y.

Use the distributive property on the parentheses:

[tex]y+5=\displaystyle \frac{3}{2}x-\frac{21}{2}[/tex]

Subtract 5 from both sides:

[tex]y=\displaystyle \frac{3}{2}x-\frac{21}{2}-5\\\\y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]

I hope this helps!

Answer:

A

Step-by-step explanation:

For each point along it goes 1 point up, if it was 4x it'd go 4 points up

Answer:

1

Step-by-step explanation:

[tex]h {}^{ - 1} ( - 1)[/tex]

means that what is the value of the inverse function of h(x) when x=-1. The inverse function x and y values swap with original functions. When x=1, y=-1 so the inverse of that will be when x=-1, y=1.

Applying the inverse function concept, it is found that [tex]h^{-1}(-1) = 1[/tex]

The inverse function [tex]f^{-1}(x) = a[/tex] means that [tex]f(a) = x[/tex].

In this problem, it is asked [tex]h^{-1}(-1)[/tex].

A similar problem, also involving inverse functions, is given at https://brainly.com/question/23950969

The expression for the perimeter of the rectangle is 63.2x - 14.6.

Given that,

We Know that

Perimeter of the rectangle is

[tex]= 2(l+w)\\\\= 2 (7x + 3.1 + 24.6x - 10.4)\\\\= 2(31.6x - 7.3)[/tex]

= 63.2x - 14.6

Here the above formula should be applied for measuring the perimeter of the rectangle.

Therefore we can conclude that The expression for the perimeter of the rectangle is 63.2x - 14.6.

Learn more about the rectangle here: brainly.com/question/16167300

Answer:

24.3

Step-by-step explanation:

First you solve the sides:

24.6-10.4 =14.2

7+3.1=10.1

After that ,you will add because perimeter is adding up the side lengths of various shapes.

14.2+10.1=24.3

Answer: A

Step-by-step explanation:

There was no active ingredient in the pill but Jennifer thought her headache went away . This is what is required for a placebo effect.

The benefit is due to the fact that Jennifer was given the treatment (pill, although only a sugar pill) and not an effect of the "active ingredient" (headache medicine).

To know more about placebo effect here

https://brainly.com/question/5069588

#SPJ3

Answer:

2+4 6(8)

Step-by-step explanation:

pls give brainliest

Answer:

2+4=6/6×8=48

hope this helped

Answer:

the answer is that one tells about nomadic responses

while the other talks about seramic responses

Answer:

Step-by-step explanation:

Having a jack and also having a diamond, satisfies two sets in a Venn diagram. An overlapping set is the intersection of the two. So A is the only one that can be in an intersection of these two sets.

The statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.

Events that share one or more outcomes are said to be overlapping events.

In the question, we are asked for the statements from the given options that describe overlapping events.

To check for overlapping events, we analyze each option as follows:-

Thus, the statement from the given choices that describes an overlapping event is A. Receiving a Jack of diamonds meets the requirement of getting both a Jack and a diamond.

Learn more about overlapping events at

https://brainly.com/question/17253921

#SPJ2

Step-by-step explanation:

initial velocity= 27

final velocity= 0

time = 3 sec

now

a= 0-27/3

a=-9 m/s^2

multiply x with x:

5×-8= -40

multiply y with y:

-4×7=-28

Answer:

(-40,-28)

pi is not a rational number.

decimals is also not a rational number.

whole number is rational number.

Answer:

y = -1/4x + 7

Step-by-step explanation:

Plug in the point and slope into y = mx + b, and solve for b:

y = mx + b

8 = -1/4(-4) + b

8 = 1 + b

7 = b

Plug in the slope and b into y = mx + b:

y = mx + b

y = -1/4x + 7

So, the equation of the line is y = -1/4x + 7

This value is approximate.

====================================================

Explanation:

Let's convert x = 30 to its corresponding z score

z = (x-mu)/sigma

z = (30-63)/11

z = -33/11

z = -3

This score is 3 standard deviations below the mean.

Repeat for x = 52

z = (x-mu)/sigma

z = (52-63)/11

z = -11/11

z = -1

This score is 1 standard deviation below the mean.

The task of finding P(30 < x < 52) is the same as P(-3 < z < -1)

We converted to z scores so we could use the Empirical Rule.

Refer to the chart below. We'll be focusing on the left green portion that is between z = -3 and z = -2 and the left blue portion which is between z = -2 and z = -1.

Those two approximate areas add to:  (2.35%) + (13.5%) = 15.85%

Answer:

O (6, -12)

Step-by-step explanation:

For 8x + 2y = 24, the point (6, -12) lies in the graph.

The first thing we must do for this case is to define variables:

x: the total mass of the chemical in the container

y: a sample of a chemical from a container

We have the following equation:

y = (3/10) x - 5 3/4

Then, for y = 39.1 we have:

39.1 = (3/10) x - 5 3/4

Clearing x:

(3/10) x = 39.1 + 5 3/4

(3/10) x = 44.85

x = (10/3) * (44.85)

x = 149.5 grams

Answer:

the total mass in grams of the chemical in the container before the scientist removed the sample of 39.1 grams was:

x = 149.5 grams.

Answer:

15 units

Step-by-step explanation:

that is the answer yep

Answer:

9.2

Step-by-step explanation:

it said it

Constant difference ..refers to the idea that the difference between two numbers does not change after adding or subtracting the same quantity to both numbers..

connstant rario .means that youe ratio is the same all points

Step-by-step explanation:

When you have points with a constant ratio, it means that your y:x or x:y ratio is the same for all points. .

Constant difference could have been thought of as 52-19 = 53-20 or as 52-19 = 50-17, a similar problem that maintains the same difference between the larger and smaller values.

Answer:

1.-4

2.7

3.-11

4.18

5.13

Step-by-step explanation:

0-4=-4

-2+9=7

-2-9=-11

5+13=18

-10+23=13

Answer:

The greatest common factor is 1

Step-by-step explanation:

The factors of 4 are: 1, 2, 4

The factors of 6 are: 1, 2, 3, 6

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 1.

Answer:

mid point is (1, 8)

Step-by-step explanation:

[tex]{ \bf{midpoint = ( \frac{x_{1} + x _{2} }{2} , \: \frac{y _{1} + y _{2} }{2} ) }}[/tex]

x1 is 2

x2 is 0

y1 is 8

y2 is 8

[tex] = ( \frac{2 + 0}{2} , \: \frac{8 + 8}{2} ) \\ \\ = ( \frac{2}{2} , \: \frac{16}{2} ) \\ \\ = (1, \: 8)[/tex]

Answer:

340 inch²

Step-by-step explanation:

Side of the square is equal to the base of the triangle.

Area of square base

= side²

= (10 inch)²

= 100 inch²

Area of each triangle

= ½ × base × height

= ½ × 10 inch × 12 inch

= 10 inch × 6 inch

= 60 inch²

So, area of 4 triangles used

= Area of each triangle × 4

= 60 inch² × 4

= 240 inch²

Total surface area of pyramid

= Area of square base + area of 4 triangles

= 100 inch² + 240 inch²

= 340 inch²