Given: triangle ABC,
BC=6cm,
CD is perpendicular to AB,
measurement of ACB=90 degrees,
measurement of ACD=60 degrees,
Find: AD

Answer:

B I'm pretty sure

Step-by-step explanation:

9 and 4 have 36 in common

to get 9 to 36 you multiply it by 4 and 2x4 is 8

to get 4 to 36 you multiply it by 9 and 1x9 is 9

9+8 is 17

Explanation:

Focus on the y coordinates. They are: 6, 3, 1.5, 0.75

Divide each by their previous term

We have a common ratio of r = 0.5

This proves we have a geometric sequence.

The starting term is a = 6

The nth term is \(a_n = a(r)^{n-1} = 6(0.5)^{n-1}\) which is likely what choice C is showing. Though choice C should be written as 6(0.5)^(n-1)

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

A linear regression equation was used to predict the number of car accidents a person would experience based on their score on the driving test. The equation predicts that a person with a score of 6 out of 10 would experience 0.1 car accidents.

To do this, they performed a linear regression equation. This equation is used to predict the dependent variable (number of car accidents) based on the independent variable (score on the driving test). To obtain the results, the department of motor vehicles used the equation to calculate the predicted number of car accidents for each possible score on the driving test. Using these results, we can predict that a person with a score of 6 out of 10 would experience 0.1 car accidents. The equation used to make the prediction is Y = a + bX, where Y is the number of car accidents, a is the intercept of the regression line, b is the slope of the regression line, and X is the score on the driving test. To calculate these values, the department of motor vehicles must collect data on driving tests and car accidents and fit a regression line to the data.

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Answer:

Step-by-step explanation:

The question is not totally clear. I will assume that the spinner has 2 colors, red and blue.

Your chances of rolling a 3 are 1 in 6 = 1/6

Your chance of getting blue is 1/2

Your chances are 1/2 * 1/6 = 1/12

As a decimal that is 0.0833333

As a % it is 8.3333 %

Answer:

No

Step-by-step explanation:

You start off with $400 and it drops 40%. Then the price dropped all the way down to $240. If it goes up another 40% of 240, that'll be $336. So you lost around $64

In this exercise we have to use our knowledge of finance to analyze the given situation and identify if a break even occurs, so we have:

Yes, you will have a break even, as you lose 16 dollars per sale.

First we have to analyze what the break even is, this would be:

Returning to the question, we have that:

\(100-40\%= 60\\60+40\%=84\\100-84=16\)

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The approximation is: A1 = f(0) * 2, A2 = f(2) * 2, A3 = f(4) * 2, A4 = f(6) * 2.

To calculate the approximate integral using a Riemann sum with right rectangles, we need to calculate the area of each rectangle and then add them all together. The area of each rectangle is given by the formula A = f(x) * Δx, where f(x) is the value of the function at a given x and Δx is the width of the rectangle.

For a rectangle approximation with Δx=20:

Calculate the x-coordinates of the right endpoints of the rectangles:

Calculate the values of f(x) at each x-coordinate:

Calculate the area of each rectangle using the formula A = f(x) * Δx, where

Add up the areas of all the rectangles to get the approximate integral:

For a rectangle approximation with Δx=2:

Calculate the x-coordinates of the right endpoints of the rectangles:

Calculate the values of f(x) at each x-coordinate:

Calculate the area of each rectangle using the formula A = f(x) * Δx, where

Add up the areas of all the rectangles to get the approximate integral:

∫0 5 f(x) dx ≈ A1 + A2 + A3 + A4, where:

A1 = f(0) * 2, A2 = f(2) * 2, A3 = f(4) * 2, A4 = f(6) * 2.

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Answer:

21

Step-by-step explanation:

8 * 2 = 16

5 * 2 = 10

68 - 16 = 52 - 10 = 42.

The perimeter of the square is 42.

42 / 4 = 10.5. 10.5 is the length of a side.

10.5 * 2 = 21.

Answer:

small: 40:15    large: 120:45    all: 160:60

Step-by-step explanation:

the way i did this was

40÷8=5 i did this because we now need to multiply 5×3=15 because thats how we get the number of trash cans.

now do the same thing for the other one

120÷8=15 → 15×3=45

an easy way to check ur answers is to divide the ratio that is given to you (8:3 so 8÷3) and see if it gets the same number as ur new ratio (40:15 so 40÷15)

Im in 8th grade and I hoped this helped :)

The solution of the system of equations is the point of intersection (4, 2), as shown in the graph below.

Caroline bought 4 soda bottles.

Caroline bought 2 juice bottles.

In order to determine the solution to this problem, use the information given to create two equations.

Number of soda bottle = x.

Number of juice bottle = y.

First Equation for the total number of bottle that Kelvin bought

x + y = 6 --> eqn. 1

Second Equation 2 for the total sugar in the soda bottles and total sugar in juice bottles that equals 150 grams of sugar.

30x + 15y = 150

Simplify by dividing by 5

6x + 3y = 30 --> eqn. 2

Rewrite eqn. 1:

y = 6 - x

Solve simultaneously for the variables of x and y, by substituting the value of y into equation 2:

6x + 3(6 - x) = 30

6x + 18 - 3x = 30

3x + 18 = 30

3x = 30 - 18

3x = 12

3x/3 = 12/3

x = 4

Caroline bought 4 soda bottles.

Substitute x = 4 into equation 1 to find the value of y:

x + y = 6

4 + y = 6

y = 6 - 4

y = 2

Caroline bought 2 juice bottles.

The graph below shows the point of intersection, (4, 2), which is the solution.

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Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Got it right on the test

(B) \(\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))\)

De Moivre's theorem: \(z=r*[cos(\)θ\()+i*sin(\)θ\()}\)\(]\)

Raising both sides to the \(n^{th}\) - \(z^{n} =r^{n} *[cos(n*\)θ\()+i*sin(n*\)θ\()]\)

The square root operation undoes the squaring operation, so we'll be dealing with \(n=2\).

If you were to go with each choice, then you'll find that squaring choice (B) will lead to the original expression given.

\(z=\sqrt{3} *[cos(\frac{\pi }{4} )+i*sin(\frac{\pi }{4} )]\\z^{2} =(\sqrt{3} )*[cos(2*\frac{\pi }{4} )+i*(2*\frac{\pi }{4} )]\\z^{2} =3*[cos(\frac{\pi }{2})+i*sin(\frac{\pi }{2} )]\)

Therefore, the correct answer to the question is (B) \(\sqrt{3} (cos(\frac{\pi }{4} )+i sin(\frac{\pi }{4} ))\).

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Answer:

V = (3.14)(4.25)²(6)

Step-by-step explanation:

Answer:

$66.85

Step-by-step explanation:

One box equals $9.55.

There are seven boxes, so multiply the $9.55 by 7 to get your answer:

7 × 9.55 = 66.85.

Debra spent $66.85 for all seven boxes of chocolates.

Answer:

2 • (59x10 - 60)

 ————————————————

        5  

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The expression that could represent the number of miles that Blake bikes would be C. I-10|.

Given that Blake bikes fewer miles than Katrina (who bikes 12 miles) and more miles than Nelson (who bikes 8 miles), this means that Blake bikes a distance between 8 and 12 miles.

When the problem states that Blake bikes fewer miles than Katrina and more miles than Nelson, it's referring to the magnitude of the distance.

Given this information, |-10| would indeed be 10 (as the absolute value of -10 is 10), which falls between Nelson's 8 miles and Katrina's 12 miles.

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You can use the same name (identifier). It may be a different object. They both loop will not affect each other.

Inside the inner or second loop, there is no way to refer to the object used in the first loop (unless you make special bread for that, as by providing a pointer to it).

This is Normally bad style, is prone to confusion, and should be avoided.

The objects are different only if the inner one is defined alone, as with the int I you have shown. If the same name is used without shaping a new object, the loops will use the same object and will interfere with each other.

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Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.

The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.

Here,

The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.

=> P(2) + P(3) + P(4)

=> 1/12 + 2/3 + 1/4

=>  (1 + 8 + 3) / 12

=> 12 / 12 = 1

In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.

In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.

Therefore, a complete probability model cannot be represented by this list.

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Answer:

Kindly check explanation

Step-by-step explanation:

The alpha level set at the beginning of of an experiment is used by the researcher to the limit the probability if making a type 1 error. The type 1 error is committed when a true null hypothesis is incorrectly rejected.

The type 2 error on the other hand is committed when fail to reject a false null hypothesis.

Hence, in other to forestall the risk of incorrectly rejecting a true null hypothesis, the alpha level is set.

When critical region is split across both tails of the distribution, The z-score boundaries at an alpha level α = .05

α = .05 (95% confidence level)

When region is split into 2:

α/2 = .05/2

α/2 = 0.025

Loooking up the z table for the Zscore with probability of 0.025

Zscore = ±1.96

The alpha level, which would be chosen at the start of an investigation, is utilized by the investigator to restrict the likelihood of making a type 1 error and the z-score will be "\(\pm\) 1.96".

According to the question,

Whenever the genuine null hypothesis has been wrongly dismissed or discarded, a type 1 problem happens.

When the crucial zone is divided between the distribution's two tails. At an alpha level, the z-score boundaries be:

95% confidence level, α = 0.05

Now,

→ \(\frac{\alpha}{2} = \frac{0.05}{2}\)

By applying cross-multiplication, we get

  \(\frac{\alpha}{2} = 0.025\)

hence,

By using the z table,

Z-score = \(\pm\) 1.96    

Thus the above answer is correct.

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The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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Answer:

80 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees so we can create the equation 70+30+x=180. This solves out to 80 so x=80 degrees.