A special diet is intended to reduce the cholesterol of patients at risk of heart disease. If the diet is effective, the target is to have the average cholesterol of this group be below 200. After six months on the diet, an SRS of 18 patients at risk for heart disease had an average cholesterol of 191, with a sample standard deviation 7. What's the t-test statistic (t-score)

A. result, the overall worth dropped by: 33,000

B.  r = 8.15%Round the rate of decrease to 4 decimal places.

C .If you round to the closest $50, you get value Equals $10,000

From $45,000 in 1991 to $12,000 in 2000, the car's value dropped. As a result, the overall worth dropped by:

45,000 - 12,000 = 33,000

Between 1991 and 2000, the annual rate of growth was:

r = (33,000 / 9) / 45,000 = 0.0815

Four decimal digits after rounding:

r = 0.0815

In percentage form, the appropriate response to component A is:

B.  r = 8.15%Round the rate of decrease to 4 decimal places.

C. If you round to the closest $50, you get value Equals $10,000

What is a percentage?

A ratio or figure stated as a fraction of 100 is called a percentage. It is frequently represented by the percent sign (%). 50%, for instance, is equal to 50 out of 100, or 50/100. In order to convey how big or little a number is in comparison to another, percentages are utilized. They are frequently employed in statistics, economics, and finance to convey disparities between groups or changes in values over time.

The formula below can be used to determine a car's worth in 2003 if its value continues to decline by the same percentage:

value is equal to $12,00×(1 - r)3.

Inputting r = 0.0815 results in:

worth = $9,950

If you round to the closest $50, you get:

value Equals $10,000

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Answer:

I'm thinking it's 9

Step-by-step explanation:

Answer:

the rectangular coordinates are , so the answer is A.

Step-by-step explanation:

sorry if it wrong ≧◇≦

Step-by-step explanation:

8x13 kkkxkgkgxkgxkkkxkkk

Answer:

Step-by-step explanation:

Slope intercept form of a line is

y=mx+b, where m=slope and b=y intercept

m=(y2-y1)/(x2-x1) I chose points (0,3) and (4,4) from graph so

m=(4-3)/(4-0)=1/4 so now the line is

y=x/4+b, using point (4,4) we can solve for b

4=4/4+b

4=1+b

b=3 so the line is

y=x/4+3 or more neatly

y=(x+12)/4

Answer:

AB=21 miles

Step-by-step explanation:

Since it's a right angles triangle, we'll use Pythagoras theorem

HYPOTENUSE ²= base² + perpendicular ²

Where hyp=AB, base=16 and perp=13

AB²=16²+13²

AB²=256+169

AB²=425

Taking sq root.

AB=20.6 miles

AB≈21 miles

The answer for it is diagram B because it does not cross or have parallel lines

The value of x that makes the equation true where the equation is given as 4(x - 2)=2x - 3 is 5/3

These are equations with constant average rates of change

The equation is given as

4(x-2)=2x-3

Rewrite the equation properly

So, we have

4(x - 2)=2x - 3

The above equation is a linear function with one variable

So, we have

4(x - 2)=2x - 3

Open the brackets in the above equation

So, we have

4x - 8 =2x - 3

Add 8 to both sides of the equation

So, we have

4x =2x + 5

Subtract 2x from both sides of the equation

So, we have

3x = 5

Divide both sides of the equation by 3

So, we have

x = 5/3

Hence, the value of x in the equation is 5/3

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The guests in the birthday party ate 33 cookies.

We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.

Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.

6 1/4 dozen = 25/4 dozen

3 1/2 dozen = 14/4 dozen

Now we can subtract the number of cookies that were left from the number of cookies that were made:

25/4 - 14/4 = 11/4 dozen

To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.

There are 12 cookies in one dozen, so:

11/4 x 12 = 33

Therefore, the guests ate 33 cookies.

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The given procedure results as not binomial and cannot be treated as binomial. It is not binomial because the probability of success does not remain the same in all trials. The correct answer is option B.

Binomial distribution compiles the number of trials, or observations when each trial has the same probability of attaining one particular value. Binomial distribution controls the probability of observing a specified number of successful outcomes in a specified number of trials.

In a binomial distribution, the probability of getting a success have to remain the same for the trials we are investigating. For example, when tossing a coin, the probability of flipping a coin is half or 0.5 for every trial we conduct, because there are only two possible outcomes.

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Answer:

5(c+3)=85

divide both sides by 5

c+3=17

taking 3 to the other side gives us -3

c=17-3

c=14

Step-by-step explanation:

if you take one bowl of noodle then you add it in your rectum use spicy to add extra to ensure extra crispy taste then run around only 5 times around the beach

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Answer:

For the answer to the question above, it is -18% because to find rate we subtract the rate, in this case, is .82 or 82% - 1 or 100% and that would give you the rate, in this case, its decreasing by an 18%

-Hope this helps<3

Answer:

1) if b = 5

Answer: never a repeating decimal.

2) if b = 6

Answer: sometimes a repeating decimal

3) if b = 7

Answer: Always a repeating decimal

4) if b = 8

Answer: Sometimes a repeating decimal

5) if b = 9

Answer: Always a reapeating decimal.

Step-by-step explanation:

1) if b = 5

Answer: never a repeating decimal.

2) if b = 6

Answer: sometimes a repeating decimal

3) if b = 7

Answer: Always a repeating decimal

4) if b = 8

Answer: Sometimes a repeating decimal

5) if b = 9

Answer: Always a reapeating decimal.

Let a=\(4x^{4} -20x^{2} -3x^{2} +15\) . So the resulting polynomial after factorization is a= \((4x^{2} -3)(x^{2} -5)\).

A polynomial is an expression that only uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

Let

\(a=4x^{4}-20x^{2} -3x^{2} +15\\=4x^{4} -3x^{2} -20x^{2} +15\\=x^{2} (4x^{2} -3)-5(4x^{2} -3)\\=(4x^{2} -3)(x^{2} -5)\)

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Answer:

Hi there ,

to find the equation of the line

we have formula y-y1= m(x-x1) , where m is the slope .

Step-by-step explanation:

y=3x

3x-y=0

slope of the line is given by -coef of x/coef of y

= -3/-1 = 3

as the line is perpendicular to 3x-y = 0

slope of required line (m) = -1/3

{using perpendicularity condition}

(x¹,y¹)=( 2,1)

equation of line = y-y1= m(x-x1)

= y-1 = -1/3(x-2)

or , 3y-3 = -x+2

or, x+3y=5 is the required equation

hope it helps...

Answer:

A) 14.3606 ft

B) 2.8112 seconds

Step-by-step explanation:

A) At maximum height which is its peak, the velocity will be zero.

Now, we are given height modeled by;

h(t) = 4.98t² - 14t + 20

v(t) = dh/dt = 9.96t - 14.

At max height which is v(t) = 0, we have;

9.96t - 14 = 0

9.96t = 14

t = 14/9.96

t = 1.4056 s

Thus, height at this time is;

h(1.4056) = 4.98(1.4056)² - 14(1.4056) + 20

h(1.4056) = 14.3606 ft

B) time of flight = 2 × time to get to peak = 2 × 1.4056 = 2.8112 seconds.

Answer:

1. 2 x 2 x 2=8

2.3x3=9

3. I'm uncertain about this one but i think maybe 12x2=24 please recheck it

Step-by-step explanation:

considering u call it easy imma assume u know how to do it

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i thing bbbbbbbbbbbbb

a) The scenario of a standard deck describes a geometric setting and the appropriate geometric random variable would be the number of cards drawn until an ace is drawn.

b) The scenario of shoot a bow and arrow describes a geometric setting and the appropriate geometric random variable would be the number of shots taken until Lawrence hits the bullseye.

Mathematically, the probability mass function of a geometric random variable X with a probability of success p is given by:

where x = 1, 2, 3, ... represents the number of trials until success. The mean of the distribution is given by 1/p and the variance is given by \((1-p)/(p^2)\).

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Complete Question:

Geometric or not? Determine whether each of the following scenarios describes a geometric setting. If so, define an appropriate geometric random variable. (a) Shuffle a standard deck of playing cards well. Then turn over one card at a time from the top of the deck until you get an ace. (b) Lawrence likes to shoot a bow and arrow in his free time. On any shot, he has about a 10% chance of hitting the bull's-eye. As a challenge one day, Lawrence decides to keep shooting until he gets a bull's-eye.

Answer:

Please help me important question in image

Step-by-step explanation:Please help me important question in image

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Please help me important question in image

Please help me important question in image

Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

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\(\text{Solve for x:}\\\\\frac{2x-10}{4}=3x\\\\\text{Multiply both sides by 4}\\\\2x-10=12x\\\\\text{Subtract 2x from both sides}\\\\-10=10x\\\\\text{Divide both sides by 10}\\\\\boxed{-1=x}\)

Answer:

-1/2

Step-by-step explanation:

The slope is always next to the x    :)

Answer:

8 feet

Step-by-step explanation:

side of the square = sqrt(128) = 11.31 ft

diagonal of the square = 11.31*sqrt(2) = 16 ft

Step-by-step explanation:

percentage discount = (360 - 270)/360 x 100% = 25%

Topic: Percentage

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