a cohort study on the effectiveness of a treatment for alcoholism will follow 50 people for two years. in this time, it is expected that the number of people who drop out of the study due to relapse will be ten, with standard deviation four. it is also expected that the number of people who drop out of the study because they move out of the study area will be six, with a standard deviation of three. if these numbers are supposed to be independent, what is the expected number of people who will drop out due to either relapse or moving away? group of answer choices 6 10 16 not enough information given

Answer:

y ≥ 0

Step-by-step explanation:

if you put a negative in place of 'x' you would get a negative root which is an imaginary number

Answer:

radinda9124 i will answer wait

The equation Y=-3x-1 represents a linear relationship between x and y, and can be used to model real-world situations such as distance vs. time or cost vs. quantity.

The equation Y=-3x-1 represents a straight line on a coordinate plane. The "slope-intercept" form of the equation is y=mx+b, where m is the slope and b is the y-intercept.

In this case, the slope is -3 and the y-intercept is -1. This means that the line goes downwards at a rate of 3 units for every 1 unit to the right, and intersects the y-axis at -1.

To find the solution to this equation, you would need to have a specific value for either x or y.

If you were given a value for x, you could plug it into the equation to find the corresponding value for y. If you were given a value for y, you could solve for x by rearranging the equation.

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The derivative of f(t) is f'(t) = 1 - 1/(3√t²), the critical numbers are -3 and 3, and the absolute minimum and maximum values on [-1,7] are approximately -3.4 and 4.9, respectively.

To find the derivative of f(t), we can use the power rule and chain rule:

f(t) = t - t^(1/3)

f'(t) = 1 - (1/3)t^(-2/3)

f'(t) = 1 - 1/(3√t²)

To find the critical numbers, we need to solve for f'(t) = 0:

1 - 1/(3√t²) = 0

1 = 1/(3√t²)

√t² = 3

t² = 9

t = ±3

So the critical numbers are t = -3 and t = 3.

To find the absolute maximum and absolute minimum values of f on the interval [-1,7], we need to evaluate f at the critical numbers and at the endpoints of the interval.

f(-1) = -1 - (-1)^(1/3) ≈ -1.8

f(7) = 7 - 7^(1/3) ≈ 4.9

f(-3) = -3 - (-3)^(1/3) ≈ -3.4

f(3) = 3 - 3^(1/3) ≈ 1.3

Therefore, the absolute minimum value of f on the interval [-1,7] is approximately -3.4 and occurs at t = -3, and the absolute maximum value of f on the interval is approximately 4.9 and occurs at t = 7.

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Answer:

30ft

Step-by-step explanation:

Given data

Volume= 360 ft^3

Area= 12 ft^2

We know that the expression for volume is

Volume= Area*Height

Substitute

360= 12*h

h= 360/12

h= 30 ft

Hence the height of the prism is 30ft

Answer:

I would put line segment CD as Line segment CD with a line with two dots on the end.

Step-by-step explanation:

Answer:

Length = 2w + 7

Step-by-step explanation:

Length = 2w + 7

Twice the width = 2w (assuming w=width)

7 more = add 7

Answer:

539.7

Step-by-step explanation:

Multiply 25.7 to 21 to get the answer.

Answer:

539.7 pounds

Step-by-step explanation:

you have 21 cartons and each one weights 25.7 pounds so you do 21•25.7=539.7

Answer:

y=x+-5

Step-by-step explanation:

y is x+-5 because as you can see in the graph the difference in everysingle one is -5 so y=x-5

Answer:

y=x+(-5)

Step-by-step explanation:

d=-3-(-4)=-3+4=1

y-(-4)=1(x-1)

y+4=x-1

y=x-1-4

or y=x+(-5)

a. Regex for all binary strings of 4-or-more θ: θ{4,}

b. Regex for all binary strings of odd length containing alternating θ and 1's: (θ1){1,}

c. Regex for all binary strings representing numbers greater than 5 when interpreted as binary numbers: (1[01]{2,}|[01]{3,})

d. Regex for all binary strings representing numbers evenly divisible by 4 when interpreted as binary numbers: (0|(1[01]{2})*0)

e. Regex for all binary strings of length less than or equal to 5 containing an equal number of θ's and 1's: (θ1|1θ|θ){0,5}

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The ratio by mass of copper to zinc in the alloy is 3:1.

To find the ratio by mass of copper to zinc in the alloy, we need to first calculate the total mass of the alloy. We can do this by adding the mass of copper and zinc:

Total mass of alloy = 13.5 g + 4.5 g = 18 g

Now we can find the ratio of copper to zinc by dividing the mass of copper by the mass of zinc:

Ratio of copper to zinc = 13.5 g / 4.5 g = 3:1

Therefore, the ratio by mass of copper to zinc in the alloy is 3:1.

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Answer:

4

Step-by-step explanation:

Answer: 756: 1764

756 girls and 1,764 boys

Step-by-step explanation:

Girls to boys- 3:7

Total Students: 2,520

Using the information given, you will create an equation.

3x + 7x = 2,520

10x = 2,520

X = 252

Now you plug-in 252 for x in your ratio

X is the the number of people

3(252) : 7(252)

756: 1764

Now when you add these numbers, you get 2,520 which is the total number of students in all. This proves your answer to be correct.

Hope this helps!

The number of girls were in the class is 756 and the number of boys were in the class is 1764.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of the number of girls to the number of boys was 3 to 7.

2,520 students were present

Now, 3+7 =10

Number of girls =3/10 ×2,520

= 756

So, the number of boys =2520-756

= 1764

Therefore, the number of girls were in the class is 756 and the number of boys were in the class is 1764.

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Answer:

ADD ME ON FORtXVXVVXVXNIZZLE KE2DAEV12

Step-by-step explanation:

Answer:

Number 3

It's a cube

Step-by-step explanation:

Answer:

the formula of a trapezoid is

H(a+b/2)

A= side 1 (usually the two parallel sides, choose one)

b= side 2 (same thing as A but the second line)

The h is height

So we fot 10 and 9

10+9=19

19/2=9.5

9.5*6

57

the Area is 57

Also you drew it wrong (look at image)

inverse operations = x=.5

simplify = x=1/2

inverse operations = x=.5

solution = x=1/2

check:

Let x = 3/2

10×3/2-5=10

use this rule = a×b/c=ab/c

10×3/2-5=10

Simplify  10×3  to 30.

30/2-5=10

Simplify 30/2 to 15

15-5=10

Simplify 15-5=10

10=10

Checked✅

Answer:

y= - 3/2x+4 or y= - 1.5x+4

Step-by-step explanation:

Slope Intercept Form: y=mx+b

3x+2y=8

2y= - 3x+8

y= - 3/2x+4 or y= - 1.5x+4

Convert to Slope-Intercept Form to graph 3x + 2y = 8.The Slope : -3/2The y-intercept: y = -3x/2 + 4

What is Slope?
The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises. Anywhere along the line, the slope remains constant (the same).

Solve the equation for y resulting in the y = mx + b
Where,
m = slope
b = the y intercept think b beginning.
3x + 2y = 8
Subtracting 3x both side
3x + 2y - 3x = 8 - 3x2y = 8 - 3x
Dividing both side by 22y/2 = 8/2 - 3x/2y = 4 - 3x/2y = -3x/2 + 4
So, m = -3/2and b = 4

Hence, Slope-intercept is y = -3x/2 + 4

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Answer:

56 meters

Step-by-step explanation:

12 = Short

32 = Long

12 + 12 + 32 = 56

Answer:

300

Step-by-step explanation:

125/2.5=50

50 x 6=300

Joseph will be able to drive 300 miles in 6 hours

hope this helps!

Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The length of the side AB is 24 units.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is also a line but a line with finite length and fixed endpoints.

Given that BD is congruent to BC, therefore, we can write,

BD = BC

5x - 26 = 2x + 1

5x - 2x = 1 + 26

3x = 27

x = 27/3

x = 9

The length of the BC will be,

BC = 2x + 1

     = 2(9) + 1

     = 18 + 1

     = 19

Further, the length of AB can be written as,

AB = AC - BC

     = 43 - 19

     = 24

Hence, the length of the side AB is 24 units.

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The coordinates of point Q that partitions line segment AB into the ratio 1:3 is (-0.75, 4.5).

In this scenario, line ratio would be used to determine the coordinates of the point Q on the directed line segment AB that partitions the segment into a ratio of 1 to 3.

In Mathematics, line ratio can be used to determine the coordinates of Q and this is modeled by the following mathematical expression:

Q(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given points into the formula for line ratio, we have;

Q(x, y) = [(1(6) + 3(-3))/(1 + 3)],  [(1(0) + 3(6))/(1 + 3)]

Q(x, y) = [(6 - 9)/(4)],  [(0 + 18)/4]

Q(x, y) = [-3/4],  [18/(4)]

Q(x, y) = [-0.75, 4.5]

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Given: An electronic product contains 54 integrated circuits. The probability that any integrated circuit is defective is 0.01,and the integrated circuits are independent. The product operates only if there are no defective integrated circuits. Find the probability that the product operates. To find:

The probability that the product operates. Solution: Let E be the event that the product operates. E'= product does not operate = at least one integrated circuit is defective. Total number of integrated circuits = 54The probability that any integrated circuit is defective = 0.01P(E')

= probability that at least one integrated circuit is defective \(P(E') = 1 - P(E)P(E) =\) probability that all 54 integrated circuits are not defective \(P(E) = (0.99)54P(E) ≈ 0.599\)Therefore,

P(E') = 1 - P(E)P(E') = 1 - 0.599P(E') ≈ 0.401Hence, the probability that the product operates is approximately 0.401.Answer: Therefore, the probability that the product operates is approximately 0.401.

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Each girl on the basketball team averages 136/12 = 11.33 points.The average number of points each girl scores, we first need to calculate the total number of points scored by the team.

Since the team average is 136 points, the total points scored by the team would be 136 x 12 = 1632 points.There are 8 boys on the team, and each boy averages 12 points. Therefore, the total points scored by the boys would be 8 x 12 = 96 points. To find the total points scored by the girls, we subtract the total points scored by the boys from the total team points: 1632 - 96 = 1536 points.

Since there are 4 girls on the team, we divide the total points scored by the girls (1536) by the number of girls (4) to find the average points scored by each girl: 1536/4 = 384 points. Therefore, each girl on the team averages 384/12 = 11.33 points.

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Answer:

437.3ft

Step-by-step explanation:

last of sines

a/sin(A) = b/sin(B) = c/sin(C)

sin(90) = 1

the angle between y and 500ft side is 90-29 = 61 degrees.

so,

x/sin(61) = 500/1 = 500

x = 500 × sin(61) = 437.3ft

In a triangle, value of \(x = 437.4\) units (round to nearest tenth) using trigonometric ratio.

"Trigonometric ratio is defined as in a right triangle the relation between the ratio of a sides of a triangle and the angle."

Formula used

\(sin\theta = \frac{opposite sides}{hypotenuse}\)

\(cos\theta = \frac{adjacent sides}{hypotenuse}\)

According to the question,

In a given right triangle ABC,

Hypotenuse \(=500 ft\)

Opposite side \(= x ft\)

Adjacent side \(= y ft\)

As per the diagram drawn,

 \(\angle BAC+ 29\° = 90\° \\\\\implies \angle BAC = 90\° -29\° \\\\\implies \angle BAC = 61\°\)

Substitute the value in the above trigonometric ratio formula we get,

\(sin61\° = \frac{x}{500}\\\\\implies 0.8747 = \frac{x}{500}\\\\\implies x = 500 \ times 0.8747\\\\\implies x = 437.35 ft\)

\(\implies x = 435.4 ft\) (round to nearest tenth)

In trigonometric ratio \(cos\theta\) we get,

\(cos61\° = \frac{y}{500}\\\\\implies 0.4848 = \frac{y}{500}\\\\\implies y= 500 \ times 0.4848\\\\\implies y = 242.2 ft\)

Hence , In a triangle, value of \(x = 437.4\) units (round to nearest tenth) using trigonometric ratio.

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Answer:

\(\frac{1}{9}\)

Step-by-step explanation:

\(\frac{2}{3}\) ÷ 6

leave the fraction, change division to multiply, turn 6 upside down

= \(\frac{2}{3}\) × \(\frac{1}{6}\) ( cancel 2 and 6 by 2 )

= \(\frac{1}{3}\) × \(\frac{1}{3}\)

= \(\frac{1(1)}{3(3)}\)

= \(\frac{1}{9}\)

2/3:6

=2/3.1/6

=1/9 (reduce 2 to 6 with remainder 3, then multiply 3 by 3 under the denominator to get 9)

Answer:

600 times

Step-by-step explanation:

5400000 ÷ 9000 = 600

Answer:

3a) 2.55 miles

3b) -5 mi/h

Step-by-step explanation:

3a)

In this problem, we want to know the distance travelled by the boat.

For a boat in uniform motion (=constant speed), the distance travelled can be written as

d=vtd=vt

where:

d is the distance travelled

v is the speed

t is the time

For the motor boat in this problem, we have:

v = 3.4 mi/h (we ignore the negative sign, because it only refers to the direction, but here we are considering the speed, which is a scalar and has no direction)

t = 0.75 h is the time

Therefore, the distance travelled is

D= (3.4)(0.75 = 2.55 miles

3b)

The velocity of an object is the ratio between its displacement (change in position) and time taken.

Since velocity is a vector, it has both a magnitude and a direction: so in this case, we also have to consider the sign when expressing the velocity.

The velocity is given by:

v=\frac{d}{t}v=

t

d

where

d is the displacement

t is the time taken

For the tugboat in this problem,

d = -1.5 mi is the displacement

t = 0.3 h is the time taken

So, its velocity is

v=\frac{-1.5}{0.3}=-5 mi/hv=

0.3

−1.5

= -5 mi/h

And the negative sign indicates that the boat is moving in the negative direction.

\(\huge \bf༆ Answer ༄\)

Let's Solve for t ~

➢ \( \sf q = \dfrac{2 - 4t}{t + 3} \\\)

➢ \( \sf{q(t + 3) =2 - 4t }\\\)

➢ \( \sf{qt + 3q} = 2 - 4t\\\)

➢ \( \sf{qt + 4t = 2 - 3q }\\\)

➢ \( \sf{t(q + 4) = 2 - 3q}\\\)

➢ \( \sf{t = \dfrac{2 - 3q}{q + 4} }\)

Answer:

t = (2 - 3q)/(q + 4).

Step-by-step explanation:

We cross multiply:

q(t + 3) = 2 - 4t

qt + 3q = 2 - 4t

qt + 4t = 2 - 3q

t(q + 4) = 2 - 3q

t = (2 - 3q)/(q + 4).