Irena has 20 apples she has a apple juice what times that is a apple juice? poopie​

(a) The probability that a point chosen randomly inside the rectangle is in the square is 0.6.

(b) The probability that a point chosen randomly inside the rectangle is outside the square is 0.4.

The probability that a point chosen randomly inside the rectangle is in each given shape is calculated as follows;

The area of the triangle is calculated as follows;

area = ¹/₂ x base x height

area = ¹/₂ x 4 x 5

area = 10 sq.units

The area of the rectangle is calculated as follows;

area = 4 x 4

area = 16 sq.units

The probability that a point chosen randomly inside the rectangle is in the square is calculated as;

P = outcome / total possible outcome

P = ( 10 ) / 16

P = 0.625 ≈ 0.6

The probability that a point chosen randomly inside the rectangle is outside the square;

P = 1 - p(inside)

P = 1 - 0.6

P = 0.4

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James owns just 5% of the company after the investment.

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by:

Percentage = (value / total value) * 100%

How to find the Percentage owned by James;

James' investment: $10,000

The other 3 people invested;

x = $10,000

y = $10,000

z = $10,000

Total investment made was = $200,000

James' Percentage = \(\frac{10000}{200000\\}\) x 100

James' Percentage = 5%

So, we can say that James owns 5% of the total investment in the business.

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Option D (2nd table in the second row)

a = b + 8.6

From the options given, the relationship between a and b should be:

b = a + 8.6

This is because the values of b in all the tables are more than the values of a. Also if we follow this relatioship, we would be able to get the correct answer in the option.

b = a + 8.6

a) if a = 2

b = 2 + 8.6 = 10.6

10. 6 is different from 17.2 (option is wrong)

b) if a = 2

b = 2 + 8.6 = 10.6

10. 6 is different from 8.8 (option is wrong)

c) if a = 2

b = 2 + 8.6 = 10.6

This is correct with the value of b. we need to confirm if other values on the same table follow this

if a = 4

b = 4 + 8.6 = 12.6

12.6 is different from 10.8 as value of b

d) if a = 2

b = 2 + 8.6 = 10.6

if a = 4

b = 4 + 8.6 = 12.6

if a = 6

b = 6 + 8.6 = 14.6

This option is correct as it follows the relationship between a and b

x < 4.1, as it represents the solution set for the given inequality. A.

The solution set of the inequality x < 4.1 can be determined by examining the given answer choices:

OA. x < 4.1:

This choice represents all values of x that are strictly less than 4.1.

It is a valid solution set for the given inequality.

OB. x < -4.1:

This choice represents all values of x that are strictly less than -4.1.

It is not a valid solution set for the given inequality.

OC. x > 4.1:

This choice represents all values of x that are strictly greater than 4.1.

It is not a valid solution set for the given inequality.

OD. x ≤ 4.1:

This choice represents all values of x that are less than or equal to 4.1.

It is not a valid solution set for the given inequality because the inequality is strict (x < 4.1), not inclusive.

OE. -4.1 < x < 4.1:

This choice represents all values of x that are strictly between -4.1 and 4.1.

It is not a valid solution set for the given inequality because it does not include the possibility of x being less than -4.1 or greater than 4.1.

OF. x < -4.1 or x > 4.1:

This choice represents two separate solution sets: one for x < -4.1 and another for x > 4.1.

It is not a valid solution set for the given inequality because it combines two separate possibilities.

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Answer:15 heads out of 30 is the most likely outcome when flipping 30 coins, if you run the same calculation with 14 or 16 heads you will get two equal, but smaller probabilities, same with 13 and 17 heads, and so on.

Step-by-step explanation:

Answer:

$47.48

Step-by-step explanation:

Let x = the amount owed Sept.

x + x - 2.23 = 292.43  Combine like terms

2x -2.23 = 292.43  Add 2.23 to both sides

2x - 2.23 + 2.23 = 292.43 + 2.23

2x = 294.66  Divide both sides by 2

\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)

x = 147.33 this is the bill for September

Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.

Total:

147.33 + 145.10 = 292.43

292.43 ÷ 3 = 97.48  This is what each will owe rounded to the nearest penny.

Answer: 22.4402

Step-by-step explanation:

Answer:

84.4% of 23 is 19.412.

Step-by-step explanation:

Let the unknown number be x.

Now, 84.4% of x = 19.412.

∴ (84.4 ÷ 100) × x = 19.412.

By simplifying the equation,

x = (19.412 × 100) ÷ 84.4

x = 1941.2 ÷ 84.4

∴ x = 23

Thus, 84.4% of 23 is 19.412.

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Answer:

Step-by-step explanation:

Hello!

The table shows the daily sales (in $1000) of shopping mall for some randomly selected  days

Sales 1.1-1.5 1.6-2.0 2.1-2.5 2.6-3.0 3.1-3.5 3.6-4.0 4.1-4.5

Days 18 27 31 40 56 55 23

Use it to answer questions 13 and 14.

13. What is the approximate value for the modal daily sales?

To determine the Mode of a data set arranged in a frequency table you have to identify the modal interval first, this is, the class interval in which the Mode is included. Remember, the Mode is the value with most observed frequency, so logically, the modal interval will be the one that has more absolute frequency. (in this example it will be the sales values that were observed for most days)

The modal interval is [3.1-3.5]

Now using the following formula you can calculate the Mode:

\(Md= Li + c[\frac{(f_{max}-f_{prev})}{(f_{max}-f_{prev})(f_{max}-f_{post})} ]\)

Li= Lower limit of the modal interval.

c= amplitude of modal interval.

fmax: absolute frequency of modal interval.

fprev: absolute frequency of the previous interval to the modal interval.

fpost: absolute frequency of the posterior interval to the modal interval.

\(Md= 3,100 + 400[\frac{(56-40)}{(56-40)+(56-55)} ]= 3,476.47\)

A. $3,129.41 B. $2,629.41 C. $3,079.41 D. $3,123.53

Of all options the closest one to the estimated mode is A.

14. The approximate median daily sales is …

To calculate the median you have to identify its position first:

For even samples: PosMe= n/2= 250/2= 125

Now, by looking at the cumulative absolute frequencies of the intervals you identify which one contains the observation 125.

F(1)= 18

F(2)= 18+27= 45

F(3)= 45 + 31= 76

F(4)= 76 + 40= 116

F(5)= 116 + 56= 172 ⇒ The 125th observation is in the fifth interval [3.1-3.5]

\(Me= Li + c[\frac{PosMe-F_{i-1}}{f_i} ]\)

Li: Lower limit of the median interval.

c: Amplitude of the interval

PosMe: position of the median

F(i-1)= accumulated absolute frequency until the previous interval

fi= simple absolute frequency of the median interval.

\(Me= 3,100+400[\frac{125-116}{56} ]= 3164.29\)

A. $3,130.36 B. $2,680.36 C. $3,180.36 D. $2,664

Of all options the closest one to the estimated mode is C.

Answer:

a) failure to treat in a timely manner

Step-by-step explanation:

Failure to treat in a timely manner is considered malpractice because it is considered negligence and can result in the worsening of the condition.

Answer:

The additional money that Ed Moura should invest in certificates of deposit paying 4% so that the average return on the two investments is 5% is 219,000.

Step-by-step explanation:

It is given that Ed Moura has $73,000 invested in stocks earning an average return of 8%, and that he should put the remaining funds in certificates of deposit paying an average return of 4%, the average return on the two investments is 5%, than;

=> 0.08 (73,000) + 0.04b = 0.05 (b + 73,000)

=> 5840 + 0.04b = 0.05b + 3650

=> 0.01b = 2190

=> b = 219,000

=> $219,000

Therefore, the additional money that Ed Moura should invest in certificates of deposit paying 4% so that the average return on the two investments is 5% is $219,000.

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The resultant force acting on the block is 47.6N.

The acceleration of the block will be 23.8 m/s².

The speed of the block after 5 seconds of movement is 119 m/s.

In this question, we need to make use of Newton's second law, hence:

resultant force = mass × acceleration

So, for question a. The value of the resultant force  will be obtained by adding the two forces together:

resultant force = F₁ + F₂

                       = 25N + 22.6N

                        = 47.6N

b.  Its acceleration will be:

acceleration = resultant force / mass

                  = 47.6N / 2kg

                  = 23.8 m/s²

c. The speed of the block after 5 seconds of movement will be:

Velocity  (v) = u + at

velocity = initial velocity + acceleration x time

Based on the block was initially at rest, the initial velocity is 0.

Hence:

V = acceleration x time

    = 23.8 m/s² x 5s

     = 119 m/s

Hence the speed of the block after 5 seconds of movement will be: 119 m/s.

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See full text below

The block in the figure is at rest when the forces begin to act.

F₁ = 25N

F, = 22.6 N

m = 2kg

to. Find the value of the resultant force.

b. Determine its acceleration.

C. Calculate the speed of the block after 5 seconds of movement.

Explanation:

The solutions, or roots, are the x intercepts of the graph. This is where the curve crosses or touches the x axis. In this case, the two x intercepts are -6 and 0.

The motion of the pendulum is a repetitive motion and the time at which

the displacement is maximum, can be found by differentiation.

\(The \ times \ in \ seconds \ are; -1\dfrac{2}{3}, \ -1, \ 0, \ \dfrac{1}{3}, \ \dfrac{2}{3}, \ 1\dfrac{1}{3} \\\)

Reasons:

The given function for the angular displacement from the rest location, θ(t),

is presented as follows;

θ(t) = 15·cos(3·π·t)

Where;

t = The time of displacement of the pendulum

Required:

To find the times, t, when θ(t) is greatest

Solution:

When θ(t) is greatest, θ'(t) = 0

Therefore;

\(\dfrac{d}{dt} \theta(t) = \dfrac{d}{dt} \left(15 \cdot cos(3 \cdot \pi \cdot t) \right) = -15 \cdot 3 \cdot sin (3 \cdot t \cdot \pi ) = 0\)

When sin(3·t·π) = 0, we have;

\(t = -\dfrac{2 \cdot n_1 - 1}{3}\) or \(t = \dfrac{2 \cdot n_1 }{3}\)

Where;

n₁ = An integer

Therefore, the times, t, in seconds are;

\(t = \dfrac{1}{3}, \ -1, \ -1\dfrac{2}{3}, ...\)

\(t = 0, \ \dfrac{2}{3}, \ 1\dfrac{1}{3}, ...\)

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Answer:

576

Step-by-step explanation:

the answer is 576

24²= 24×24=576

Answer:

$4999.69

Step-by-step explanation:

F = Pe^(rt)

F = $4350 * e^(0.0232 * 6)

F = $4999.69

Answer:

If (x-1) is a factor of the polynomial f(x) = 4x² - 4x² - x - K, then we know that (x-1) divides evenly into the polynomial, which means that the polynomial can be written as:

f(x) = (x-1)(ax + b)

where a and b are constants that we need to determine. We can use the distributive property to expand this expression and equate it with the original polynomial:

f(x) = (x-1)(ax + b) = 4x² - 4x - K

Expanding the left side of the equation, we get:

ax² + bx - ax - b = ax² - (a-b)x - b = 4x² - 4x - K

Now we can equate the coefficients of the like terms on both sides of the equation.

The coefficient of x^2 on the left side is a, and on the right side it is 4. Therefore, we have:

a = 4

The coefficient of x on the left side is b - a, and on the right side it is -4. Therefore, we have:

b - a = -4

Substituting a=4, we get:

b - 4 = -4

Solving for b, we get:

b = 0

So the polynomial can be written as:

f(x) = (x-1)(4x + 0) = 4x² - 4x

Therefore, K = 0.

To find the roots of the equation, we need to set f(x) = 0 and solve for x:

4x² - 4x = 0

Factor out 4x:

4x(x - 1) = 0

So the roots of the equation are x = 0 and x = 1.

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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Answer: Answer below

Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.

we can verify our answer by doing 9x8 which equals 72.

Answer: 9

Step-by-step explanation:

bears divided by shelves = number of bears per shelf

72 bears divided by 8 shelves= 9 bears per shelf

The values of m and c are m = 1 and c = 5.

The function f(x) is given by: f(x) = x + 5

To find the values of m and c in the function f(x) = mx + c, we can use the given information that f(0) = 5 and f(1) = 6.

Let's substitute x = 0 into the function:

f(0) = m(0) + c = 0 + c = c

We know that f(0) = 5, so c = 5.

Now let's substitute x = 1 into the function:

f(1) = m(1) + c = m + c = m + 5 = 6

Subtracting 5 from both sides, we have:

m + 5 - 5 = 6 - 5

m = 1

Therefore, the values of m and c are m = 1 and c = 5.

The function f(x) is given by:

f(x) = mx + c

f(x) = 1x + 5

f(x) = x + 5

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Answer:

162

Step-by-step explanation:

4.5x9x4

Answer:

\( \frac{37}{8} \)

Step-by-step explanation:

\( \frac{11}{2} - \frac{7}{8} \)

LCM of denominator

\( = \frac{88 - 14}{16} \)

\( = \frac{74}{16} \)

reduce to lowest term

\( = \frac{37}{8} \)

The coordinates of the point halfway between the origin and point B is [0, 5].

The coordinates of the midpoint of point A and point B is [5, 4].

The coordinates of the midpoint of point P and point Q is [7, 8].

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and then divide by two (2):

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

For line segment BO, we have:

Midpoint of BO = [(0 + 0)/2, (10 + 0)/2]

Midpoint of BO = [0, 10/2]

Midpoint of BO = [0, 5].

For line segment AB, we have:

Midpoint of AB = [(2 + 8)/2, (4 + 4)/2]

Midpoint of AB = [10/2, 8/2]

Midpoint of AB = [5, 4].

For line segment QP, we have:

Midpoint of QP = [(7 + 7)/2, (10 + 6)/2]

Midpoint of QP = [14/2, 16/2]

Midpoint of QP = [7, 8].

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Answer:

The blue dot is -19

Step-by-step explanation:

Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.

We are going backward, so we can count backward.

We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.

The blue dot is -19

Answer: The blue dot equals to -19.

Step-by-step explanation:

On the number line, there are the numbers -10 & -4.

-7 would fit in the middle of them. That means the number line goes by minus 3.

Count -10 , -13, -16, then you get on the the blue dot which is -19.

Therefore, -19 is the answer.

Answer: To find the absolute value of the expression 1 1/2 - 2/31, we first need to convert the mixed number 1 1/2 into an improper fraction.

1 1/2 can be written as (2 * 1 + 1) / 2, which is equal to 3/2.

Now we can subtract 2/31 from 3/2:

3/2 - 2/31 = (3 * 31 - 2 * 2) / (2 * 31) = (93 - 4) / 62 = 89/62.

The absolute value of a fraction is the positive value without considering its sign. So, the absolute value of 89/62 is 89/62.

Therefore, the absolute value of 1 1/2 - 2/31 is 89/62.

Answer:

1 hope this helps

Step-by-step explanation:

Answer:

585

Step-by-step explanation:

Explanation in picture below.

The surface area of the vase is 168.4 square inches.

What is a cylinder?

A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.

The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.

The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:

B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.

The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:

P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.

Now we can use the formula SA = B + Ph to find the surface area of the vase:

SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.

Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.

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Answer:

Buy 2 lollipops for $2.

Step-by-step explanation:

If you divide the total price by total items purchased, you get the price per unit. 2/2=1 or around $1, while 40/30=4/3 or around $1.3. You are paying 1$ per lollipop for the 2 lollipop choice and paying 1.3 dollars per lollipop for the 30 lollipop choice.

Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!