<1 is a complement of <2, and m<1=66. find <2

The height of the triangular face of the box is 6 cm when the Volume of the box is 3,240 cubic cm.

Given Parameters,

The length of the box (l) = 30 cm

The breadth of the box (b) = 18 cm

The height of the box  = h

The Volume of the prism = l * b * h

It is given that the volume of the prism is 3,240 cubic cm.

Thus,

l * b * h = 3,240

Putting the values of length and breadth, we have

30 * 18 * h = 3,240

540 * h = 3,240

h = 3,240/540

h = 6

Thus, the height of the triangular face of the box is 6 cm.

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The probability that the randomly selected patient had a blood test requested during their visit is approximately 0.120

In this case:

We can calculate the overall probability as the weighted average of the probabilities from each doctor:

Probability = (Probability from Dr. Sarabia) * (Percentage of patients seen by Dr. Sarabia) + (Probability from Dr. Tran) * (Percentage of patients seen by Dr. Tran) + (Probability from Dr. Jackson) * (Percentage of patients seen by Dr. Jackson)

Probability = (0.10 * 0.27) + (0.10 * 0.32) + (0.15 * 0.41)

Probability ≈ 0.027 + 0.032 + 0.061

Probability ≈ 0.12

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Answer:

the answer is 3.19

Step-by-step explanation:

multiply 3.19x5 then add the 2.95

To practice adding mixed numbers with like denominators, you can use worksheets that include problems with varying variables.

Adding mixed numbers with like denominators. Since you mentioned worksheets, I'll explain the process step-by-step, and you can apply these steps to any worksheet problems you have.

Step 1: Identify the mixed numbers and their like denominators.
In a given problem, you'll be given mixed numbers (a whole number and a fraction combined) with like denominators (same number in the denominator).

Example: 2 1/4 + 3 3/4 (Both fractions have the denominator 4)

Step 2: Add the whole numbers.
Add the whole numbers of the mixed numbers together.

Example: 2 + 3 = 5

Step 3: Add the fractions with like denominators.
Add the numerators (top numbers) of the fractions and keep the denominators the same.

Example: 1/4 + 3/4 = (1+3)/4 = 4/4

Step 4: Simplify the fraction, if needed.
If the fraction is improper (numerator is equal to or greater than the denominator), simplify it to a mixed number.

Example: 4/4 = 1

Step 5: Combine the whole numbers and simplified fractions.
Add the whole numbers from Step 2 and the simplified fraction from Step 4.

Example: 5 (whole number) + 1 (simplified fraction) = 6

Final Answer: 2 1/4 + 3 3/4 = 6

Now, you can apply these steps to any problem in your adding mixed numbers with like denominators worksheets. Good luck!

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The probability that at least 1 of their 3 children will have Tay-Sachs disease is 0.984375, or approximately 0.98

What is probability?

A probability is a number that reflects how probable an event is to occur. It is represented by a number between 0 and 1.

Let T denote the event that a child has Tay-Sachs disease, and let T' denote the event that a child does not have Tay-Sachs disease. Since both parents are carriers of the Tay-Sachs mutation, they each have one copy of the mutant gene and one normal gene. Thus, their possible genotypes are:

Parent 1: Tt (carrier)

Parent 2: Tt (carrier)

To determine the probability that at least 1 of their 3 children will have Tay-Sachs disease, we can use the complement rule and find the probability that none of their children have the disease. If none of their children have the disease, then they must each inherit the normal gene from both parents (since Tay-Sachs is a recessive disorder and requires two copies of the mutant gene to manifest). The probability of each child inheriting the normal gene from each parent is 0.5, since each parent has one normal gene and one mutant gene, and the genes are inherited independently.

Thus, the probability of each child not having Tay-Sachs disease is:

P(T') = P(normal gene from parent 1) * P(normal gene from parent 2) = 0.5 * 0.5 = 0.25

Since each child is independently inherited, the probability of all 3 children not having Tay-Sachs disease is:

P(T' for all 3 children) = P(T') * P(T') * P(T') = 0.25^3 = 0.015625

Therefore, the probability that at least 1 of their 3 children will have Tay-Sachs disease is:

P(at least 1 child has T) = 1 - P(T' for all 3 children) = 1 - 0.015625 = 0.984375

So the probability that at least 1 of their 3 children will have Tay-Sachs disease is 0.984375, or approximately 0.98 (rounded to two decimal places).

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The conditions for inference has been not met the sample wasn't chosen using a random method.

Sample mean , μ = 11.50

Total people estimated, x = 41

Mean sale increases by 10 per day

z = x - μ / σ

z = 41 -11.5/10

z = 2.95

Necessary condition for inference is

Three necessary conditions must be met to do inference are -

The randomness of the sample,

The distribution should approximate the normal distribution

The samples taken and their observations need to be independent of each other.

Selection cannot be selected randomly because specific group of people are selected

Hence, No, the sample was not chosen using a random method.

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The question is incomplete the complete question is :

question a local convenience store in a large city closes each day at 10 p.m. the owner of the store is investigating whether mean sales will increase by at least $10 per day if the store remains open until 11 p.m. the owner asked the 41 members of a local civic group to estimate the amount of money they might spend during the extra hour. the sample mean was $11.50. the owner will conduct a one-sample t -test for a population mean.

Have the conditions for inference been met?

A. Yes, all conditions have been met.

B. No, the sample was not chosen using a random method.

C. No, the sample size is greater than 10 percent of the population.

D. No, the sample size is not large enough to assume normality of the sampling distribution.

E. No, the distribution of the sample is not normal.

The length of the movie screen at the local cinema is 37188552  feet.

Let's assume the width of the rectangle movie screen is represented by 'w' feet. According to the given information, the length of the screen is 303030 feet longer than the width. Therefore, the length can be expressed as 'w + 303030' feet.

The perimeter of a rectangle is given by the formula: 2(length + width). In this case, the perimeter of the movie screen is 148148148 feet. We can set up the equation as follows:

2(w + (w + 303030)) = 148148148.

Simplifying the equation, we have:

2(2w + 303030) = 148148148.

4w + 606060 = 148148148.

4w = 147542088.

Dividing both sides by 4, we get:

w = 36885522.

Therefore, the width of the screen is 36885522 feet. Since the length is 303030 feet longer than the width, we can calculate the length as:

Length = Width + 303030 = 36885522 + 303030 = 37188552 feet.

Hence, the length of the movie screen is 37188552  feet.

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Answer:

\((-3,4)\)

Step-by-step explanation:

The \(x\) coordinate is \(0-3=-3\) and the \(y\) coordinate is \(0+4=4\).

Answer:

(−3, 4)

left parenthesis negative 3 comma 4 right parenthesis

Answer:

The weight increases from 32 lbs to 64 lbs

Step-by-step explanation:

The question is not complete, the complete question is:

An architectural firm must decide on the size of a scale model to present to a client. The area of the base A (in ft^2) is related to the weight of the model W (in lbs) according to the equation W^2 = 4A^3. If the area of the base is currently 16 ft^2? and is increased by 16ft^2 (while keeping the model to scale), determine the corresponding change in the weight of the model

Solution:  

Given that the square of the area of the base (A) is directly proportional to the cube of the weight of the model (W). The relationship is given as:

W² = 4A³

This means a the weight increase, the area also increases. To the determine the corresponding change in the weight of the model, we have to determine the weight when the area is 16 ft² and increased by 16 ft².

At A = 16 ft²

W² = 4A³

W² = 4(16³)

W² = 1024

W = √1024 = 32

W = 32 lbs

When the area is increased by 16 ft² A = 16 ft² + 16 ft² = 32 ft²

W² = 4A³

W² = 4(32³)

W² = 4096

W = √4096 = 64

W = 64 lbs

The weight increases from 32 lbs to 64 lbs

El medio ambiente es un tema crucial para la supervivencia de todas las especies del planeta, incluyendo los seres humanos. La actividad humana ha tenido un impacto significativo en el medio ambiente, lo que ha llevado a la degradación de los ecosistemas, la pérdida de biodiversidad y el cambio climático.

Es importante que tomemos medidas para proteger el medio ambiente. Podemos hacer esto reduciendo nuestra huella de carbono, utilizando fuentes de energía renovable, reduciendo nuestro consumo de recursos naturales y siendo más conscientes de nuestras acciones en relación con el medio ambiente.

Además, la educación es clave para la protección del medio ambiente. Si todos estamos educados sobre los problemas ambientales y las soluciones, podemos trabajar juntos para encontrar formas de proteger y preservar nuestro planeta para las generaciones futuras.

En resumen, el medio ambiente es esencial para nuestra supervivencia y debemos tomar medidas para protegerlo. La educación y la acción son necesarias para abordar los desafíos ambientales que enfrentamos como sociedad.

The distance between each pair of points is given by the distance formula which is stated below; Distance formula. The distance formula is used to find the distance between two points in the coordinate plane. The distance formula is derived from the Pythagorean theorem. So, the distance between each pair of points is √101`

The distance formula is given as; d = √((x2-x1)² + (y2-y1)²), Where; x1, x2 are the x-coordinates of points 1 and 2. y1, y2 are the y-coordinates of points 1 and 2

Applying the distance formula to the given pair of points, (0, 6) and (-1, -4), we have;`x1 = 0`,`x2 = -1`,`y1 = 6`, and `y2 = -4`. Therefore, the distance between each pair of points is; d = √((-1 - 0)² + (-4 - 6)²)d = √((-1)² + (-10)²)d = √(1 + 100)d = √101 Answer: `√101`

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Explanation:

For any inscribed quadrilateral like this, the opposite angles are always supplementary. This means the angles add to 180

B+D = 180

(2x-1) + (3x-59) = 180

(2x+3x) + (-1-59) = 180

5x-60 = 180

5x = 180+60

5x = 240

x = 240/5

x = 48

Use this x value to find angle A

A = 2x+4

A = 2*48+4

A = 96+4

A = 100

This then means,

A+C = 180

C = 180-A

C = 180-100

C = 80 degrees

Side note: The term "cyclic quadrilateral" is the same as "inscribed quadrilateral".

If the expression be 23 x² + 3x + 8 then the constant exists 8.

The addition, subtraction, multiplication, and division arithmetic operators are used to write a group of numbers together to form a numerical statement in mathematics. The expression of a number can take on various forms, including verbal form and numerical form.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

During the course of a program's execution, a constant's value cannot change. As a result, the value is constant, as implied by its name. During the course of a program's execution, a variable's value can change. As a result, the value might change, as implied by its name.

Let the expression be 23 x² + 3x + 8

then the constant exists 8.

Therefore, the correct answer is option C. 8.

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Answer:

= 14/3

Step-by-step explanation:

add 3  to both sides of the equation

The probability of selecting a defective bulb is 0.16.

Given: 8 Bulbs are defective out of 50 bulbs. To find the probability that a randomly selected item is defective.

What is probability?

Probability shows the possibility of how likely an event is happening to occur out of all the possibilities.

Let’s solve the problem:

Total number of video recorders: 50

The sample space n(S) = 50

Number of defective bulbs: 8

Let E be the event of selecting a defective bulb.

Then n(E) = 8

Therefore, the probability of selecting a defective bulb: Number of defective bulbs / Total number of bulbs

=> n(E) / n(S)

=> 8 / 50

=> 0.16

Hence the probability of selecting a defective bulb is 0.16.

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Answer:

10.54 kg

Step-by-step explanation:

Given that :

Half of blueberries is served with breakfast

The remaining 5270g is served with dinner

How many kilograms of blueberries did the science camp start with :

Total grams of blue berries :

(Grams served at breakfast + grams served at dinner)

Let total blueberries = x

x/2 + 5270 = x

(x + 10540) /2 = x

x + 10540 = 2x

10540 = 2x - x

x = 10540 grams

Amount of kilograms science camp started with = (10540) / 1000 = 10.54 kg

Answer:

i) The probability of getting 50 cent coin is 5/18, or approximately 28%

ii) To scale the numbers up to let us have 65 fifty cent coins, there would be a total of 234 coins

Step-by-step explanation:

We are told the probability of choosing ten and 20 cent coins, and from that we can work out the probability for the 50 cent coin.  All we need to do is add up the other two probabilities and subtract them from 1.

\(p = 1 - (\frac{1}{3} + \frac{7}{18})\\p = 1 - (\frac{6}{18} + \frac{7}{18})\\p = 1 - \frac{13}{18}\\p = \frac{5}{18}\\\)

So the chance of getting a 50 cent coin is five eighteenths, or approximately 28%

For the second question We are asked to find the total number of coins if there are 65 fifty cent coins. (I can't see the text below that, but presumably it's saying that the ratios will stay the same).

We can solve this by comparing the two ratios, with x as the total, and solving for x:

\(\frac{5}{18} = \frac{65}{x}\\5x = 65 * 18\\x = 13 * 18\\x = 234\)

So to keep the same ratios and have 65 fifty cent coins, we would need a total of 234 coins.

Answer:

a c and e

Step-by-step explanation:

Answer:

Answer:

So, the prime factors of 100 are written as 2 x 2 × 5 x 5 or 22 x 52, where 2 and 5 are the prime numbers. It is possible to find the exact number of factors of a number 100 with the help of prime factorisation. The prime factor of the 100 is 22 x 52. The exponents in the prime factorisation are 2 and 2.

Step-by-step explanation:

Answer:

The prime factorization of 100 is 2 * 2 * 5 * 5. Using exponents, this number can also be written as 2^2 * 5^2.

Answer:

yes, it has an inverse

Answer:

Yes,It has an inverse

Step-by-step explanation:

Horizontal Line Test

If any horizontal line intersects the graph of more than once, then f does not have an inverse. If no horizontal line intersects the graph of f more than once, then f does have an inverse.

Answer:

6h - 39 or 3(2h - 13)

Step-by-step explanation:

Distribute the terms in the parentheses.

Combine like terms

8 (h - 4) - h - (h + 7)

8h - 32 - h - h - 7

6h - 39

3 (2h - 13)

The dimensions of the box are 30 cm by 50 cm by 25 cm.

Area is a measure of the amount of space enclosed by a two-dimensional object, such as a shape or a surface. It is usually expressed in square units, such as square meters (m²), square inches (in²), or square centimeters (cm²), depending on the unit system used.

Let x be the side length of the squares that are cut out of each corner of the cardboard.

When the squares are cut out and the sides are folded up, the resulting box will have dimensions (80-2x) cm by (100-2x) cm by x cm.

The area of the base of the box is:

(80-2x) cm × (100-2x) cm = 8000 - 360x + 4x² cm²

We know that the area of the base is 4000 cm², so we can set this equal to the expression we just found:

8000 - 360x + 4x² cm² = 4000 cm²

Simplifying and rearranging, we get a quadratic equation:

4x² - 360x + 4000 = 0

Dividing both sides by 4, we get:

x² - 90x + 1000 = 0

This quadratic can be factored as:

(x - 40)(x - 25) = 0

Therefore, the possible values of x are x = 40 cm and x = 25 cm.

If we use x = 40 cm, then the dimensions of the box are:

Length = 80 - 2x = 0 cm (not possible)

Width = 100 - 2x = 20 cm

Height = x = 40 cm

If we use x = 25 cm, then the dimensions of the box are:

Length = 80 - 2x = 30 cm

Width = 100 - 2x = 50 cm

Height = x = 25 cm

Therefore, the dimensions of the box are 30 cm by 50 cm by 25 cm.

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Answer:

A. 5 PM

Step-by-step explanation:

5 PM if they woke up at 7 AM as teens under 16 cannot work more than 9 hours

Answer:

the answer is C - 9:00 pm I guess

Answer:

40 percent of 55 is 22

I hope this helps you!

Answer:

Step-by-step explanation:

The 40% goes with the 55. The equation looks like

Answer: 40/100 * 55

Answer: 22

Answer:

y = (5 x 15) + ( 40 x 15 )

y = 45 x 15

answer is 675 total though

Step-by-step explanation:

y is the total amount and is equals to 675

15 is the amount of students

5 is the bus fair

and 40 is the park day fair

so you have to multiply 40 and 5 to the amount of students which is 15.