n the experiment of the preceding exercise, the subjects were randomly assigned to the different treatments. men with high blood pressure are assigned at random to one of four diets: (1) normal diet with unrestricted salt; (2) vegetarian with unrestricted salt; (3) normal with restricted salt; and (4) vegetarian with restricted salt. what is the most important reason for this random assignment?

64.71% percent of the data values are greater than 80.

What is the percentage?

Min. value = 30

Max. value  = 85

Percentage (%) of data values greater than 30(thirty) = [tex]\frac{55}{85} X 100[/tex]

                                              = 64.71%

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Answer:

1. = 96

2. = -158

Step-by-step explanation:

When you multiply two negatives the answer is positive, and when you multiply one negative and one positive the answer is negative

If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

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Answer:

-2.04

Step-by-step explanation:

it'll be

-1.34 - 0.7 = y

- 2.04 = y

Answer:

50 69 600 5.2 2

Step-by-step explanation:

this is because this is simple interest i=pxrxt

The property shown in 2 + 0 = 2 is the Identify Property of Addition

The expression is given as:

2 + 0 = 0

The  Identify Property of Addition property states that

a * 0 = a

This means that the property shown is the Identify Property of Addition

Hence, the property shown in 2 + 0 = 2 is the Identify Property of Addition

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Answer:angels

Step-by-step explanation:bea

In linear equation, y = \frac{x}{r} - \frac{z}{mr} + \frac{t}{r} is  simple form .

What is a formula for linear equations?

Ry+ z/m-t=x

Ry = x - z/m + t

[tex]y = \frac{x - \frac{z}{m}+ t }{r}[/tex]

[tex]y = \frac{x}{r} - \frac{z}{mr} + \frac{t}{r}[/tex]

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Answer:

18 cm

Step-by-step explanation:

Range = Largest Number - Smallest Number

We know the following from the original data set:

Largest Number = 32 cm

Smallest Number = 3 cm

Original Range = 32 cm - 3 cm = 29 cm

The outlier is 3 cm because all the other numbers are relatively close to ine another in their 20s and 30s. If we remove 3 cm from the data set, we know the following:

Largest Number = 32 cm (Doesn't change)

Smallest Number = 21 cm

New Range = 32 cm - 21 cm = 11 cm

We can compare the two ranges by subtracting the larger range from the smaller range:

Range Difference = 29 cm - 11 cm = 18 cm

Therefore, the range decreases by 18 cm when we remove the outlier.

You can just try out all the answers but I'll give you a solution.

We will expand out the middle term to 5x^2 - 30x - 6x + 36, then we group the first 2 terms together, and the last 2 terms together.

= 5x (x - 6) - 6(x - 6)

And we put x-6 out : (x-6)(5x-6) = 0

Now, we can just set the value of one bracket to 0 and find out the value of x, and do the same for the other one

x - 6 = 0 -> x = 6
5x - 6 = 0 -> x = 6/5

Because 6 is not a possible option, the answer is x = 1.2

The measurement that is closest to the volume of the cylinder in cubic feet is: 15.7 Feet. (Option B)

Recall that volume is

V = πr²h

Given:

h = 5 feet

r = 2/2 = 1

Hence

V = 5 x 1 x 22/7

= 15.7142857143

Hence, the cylinders volume in cubic feet is given as:

[tex]$\approx$[/tex] 15.7 ft

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Answer: 15.7 ft3

Step-by-step explanation:

Answer:

the number is 53611

Step-by-step explanation:

mark me brainliest hope this answer helps

Answer:

total inner angle of quadrilateral is 360 so

66 is remaining angle.

Please mark me as brainlist answer.

You has promised. Don't broke promise that you will give brainlist answer.

Answer:

The sum of the interior angle of a quadrilateral is given by the formula

(n-2)×180°

n represent the number of sides

(4-2)×180°

2×180°

=360°

then equate the angle to 360°

a. Interest of the first year = $26.93

b. Balance after the first year = $1256.93

c. Interest for the second year = $27.52

d. Balance after the second year = $1284.45

Although a part of your question is missing, you might refer to this full question: Gerry deposited $1230 in an account that pays 2.19% simple interest for one year.

a. How much interest will he earn in one year?

b. What will be his balance after one year?

c. Gerry withdraws all of the principal and interest after the first year and deposits into another one-year account at the same rate. What will be his interest for the second year?

d. What will his balance be after two years?

Principal = $1230

Rate = 2.19%

Formula to be used:

Simple interest = (P*R*T)/100

where P = principal

R = rate

T = time in years

Calculating interest for the first year:

S.I = (1230*2.19*1)/100

S.I = 26.93

So, he will earn $26.93 as interest in the first year

And balance after the first year will be $1256.93

Solving for the second year:

P = 1256.93

S.I = (1256.93*2.19*1)/100

= 27.52

So, interest for the second year will be $27.52

And balance after the second year will be $1284.45

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Answer:

a good estimation is 190

Step-by-step explanation:

(2x25)+(3x12)+(7x8)+(9x5)=187

187 rounds to 190

Answer: (a) 0-2 (b) 3.2

Step-by-step explanation:

modal = the number that appears the most

mean = average

(a) modal class interval: 0 - 2

(b) first, find the mean of each class interval (number of letters delivered):

1, 3.5, 6 and 9

1 x 25 = 25

3.5 x 12 = 42

6 x 8 = 48

9 x 5 =45

25 + 42 + 48 + 45 = 160

number of houses:

25 + 12 + 8 + 5 =50

mean:

160 / 50 = 3.2

The solution to the system of equation is (7/5, 22/5)

Given the system of equation as shown below;

4x + y = 10 * 2

3x - 2y = 13 * 1

_____________

8x + 2y = 20

3x - 2y = 13

Subtract

8x - 3x = 20 - 13

5x = 7

x = 7/5

Substitute the value of x into any of the equation

4x + y = 10

4(7/5) + y = 10

28/5 + y = 10

y = 10 - 28/5

y = 22/5

Hence the solution to the system of equation is (7/5, 22/5)

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The product of 12 and √17 is not a rational number.

Any number that can be expressed as a fraction and where the denominator (the bottom number) and the numerator (the top number) are both integers is considered a rational number.

The product of ant two rational numbers is always a rational number , but product of a irrational number and a rational number is not a rational number.

Hence only the third option is correct.

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The form of a periodic function is H(t) = 20cos(π/12(t+12))+ 60.

What do periodic functions mean?

A function that periodically returns to the same value. Despite the similarity in sound between periodic motion and oscillatory motion, not all periodic motions are oscillatory motion.

Since the values of H oscillates between two values, then the choices of the function are either sine or cosine. However, since the variable measures the time from 4 AM, and 4 AM represents the trough of the oscillation, then cosine is the more appropriate choice. Recall the form of a periodic function

y =A cos(B(x +C))+D

It is given that the peak of desert temperature is at 80F, and the lowest is 40F. Note that the distance between the two temperatures is

80F − 40F =40F

Since the amplitude is the distance from the middle line to either peak or trough, then it is half the distance from the trough to the peak. Hence

A = 40/2= 20

Notice that one full oscillation occurs after one day or 24 hours. Hence the period is

B =2π/24 = π/12

The graph of the cosine function begins at the peak, whereas the function needs to begin at the trough, since the variable t represents the number of hours after 4 AM. Thus, the graph must be shifted horizontally to the left one half-cycle, which is

C = 12

Since the original cosine function has the centerline at x= 0  the centerline of the function must be shifted by the number of units corresponding to the midway point of the peak and the trough. Hence

D= 80 + 40/2 = 120/2 = 60

ubstituting

A =20, B = π/12. C= 12 , and  D= 60 into

The form of a periodic function

                    H(t) = 20cos(π/12(t+12))+ 60

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The function is 4|x-4|.

It is required to find the  function g.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The original function is:

f(x)=|x|

Translation 4 units to the right we get,

f(x-4)=|x-4|

Horizontal stretch by a factor of 4

Multiplying by 4, so:

g(x)=4f(x-4)=4|x-4|

Therefore, the function is 4|x-4|.

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The two points on the y axis that are 25 units from (-24,3) will be (0, 10) and (0, - 4).

We are given a point:

( - 24 , 3 )

We need to find a point on the y - axis, that is 25 units away from the axis.

The coordinate of the point will be:

(0, y)

So, by using the distance formula, we get that:

D = √ ( y₂ - y₁)² + ( x₂ - x₁)²

25 = √ ( y + 3)² + (0 + 24)²

625 = y² + 9 - 6 y + 576

625 = y² - 6 y + 585

y² - 6 y - 40 = 0

y² - 10 y + 4 y - 40 = 0

y ( y - 10 ) + 4 ( y - 10 ) = 0

(y - 10)(y + 4) = 0

y = - 4 or y = 10.

So, the two points will be:

(0, 10) and (0, - 4)

Therefore, we get that, the two points on the y axis that are 25 units from (-24,3) will be (0, 10) and (0, - 4).

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The number of yards of fence it will take to enclose the square garden is 48 feet.

It is given in the question that a square garden has an area of 144 square feet.

We have to find the number of yards of fence it will take to enclose the garden.

Let the length of side of the square garden be x feet.

We know that,

Area of a square = [tex]side^2[/tex]

Hence,

According to the data given in the question, we can write,

144 = [tex]side^{2}[/tex]

We know that,

144 = [tex]12^2[/tex]

Hence,

[tex]12^2=side^2[/tex]

Hence,

Side = 12 feet

We know that,

Number of yards of fence it will take to enclose the  square garden = perimeter of the square garden.

Hence,

Number of yards of fence it will take to enclose the square garden = 4* side of the square garden = 4*12 = 48 feet.

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Answer: Is 86 your welcome have a nice labor day

Step-by-step explanation:

Answer:

(a) 1/2

(b) $1,080,000

(c) 72°

Step-by-step explanation:

We have to find the ratio in which the money is being distributed

To do this first add up the individual values in the ratio 5:3:2 which represents the ratio C:D:E for apportioning savings

5 + 3 + 2 = 10

Chris's share = 5/10 = 1/2

Danny's share = 3/10

Evelyn's share = 2/10 = 1/5

Answers

(a) Fraction of Danny's share = 1/2

(b) If Danny is to receive $540,000 and his share is 1/2 of total savings then the total savings = 2 x 540,000 = $1,080,000

(c) The ratio of the angles in a pie chart will be the same as the ratio of the division. A pie chart shows the relative shares as part of a circle. Since a circle contains 360° , the angle of the sector that represents Evelyn's share will be 1/5 x 360 = 72°

Answer:

Step-by-step explanation:

1.

1) =7+(-4)=3

2) =13-8=5

3) =11+5=16

4) =-5-9=-14

5) =-8-1=-9

6) =-1-(-7)=6

7) =-10+13=3

8) =15-7=8

9) =-2+6=4

10) =9-4=5

11) =-1-8=-9

2.

[tex]\sqrt{12.8+25.4}= \sqrt{38.2}\approx 6.18[/tex]

Answer:

12, 20, 5, 30, 10, 14, 10, 20, 10, 16

Step-by-step explanation:

1.) 21-9=12

2.)35-15=20

3.) 30-25=5

4.) 40-10=30

5.) 30-20=10

11.) 34-20=14

12.) 22-12=10

13.) 30-10=20

14.) 19-9=10

15.) 28-12=16

Answer:

6.25years

Step-by-step explanation:

2000*4% = 80

500/80 = 6.25

6 years and 3 months

I believe the answer is 200.