Determine whether △ABC and △DEF are similar. Justify your reasoning.


A diagram shows two triangles labeled A B C and D E F side by side. In triangle A B C, Side A B measures twenty-four. Side A C measures thirty. In triangle D E F, Side D E measures eighteen. Side D F measures twenty-four. Angle F D E and C A B are marked congruent.


Which of the following is a correct response?



Yes. ACDF=ABDEYes. cap A cap c over cap d cap f is equal to cap A cap b over cap d cap e


No. ACDF≠DEABNo. cap A cap c over cap d cap f is not equal to cap d cap e over cap A cap b


Yes. ACDF=DEABYes. cap A cap c over cap d cap f is equal to cap d cap e over cap A cap b


No. ACDF≠ABDE

Answer:

A

Step-by-step explanation:

3 + (-7) + 2/5 + (-1/5)

Answer:

19

Step-by-step explanation:

Answer:

9d :)

Step-by-step explanation:

So, we have the equation 5c + 9d - 5c

We combine our like terms which are 5c and -5c bc they both have the variable "c"

When we do 5c + -5c we get 0 since were adding a negative and a positive. This leaves us with just 9d, therefore, that's your answer!

Answer:

B. x = 1.6 All you have to do is divide 6.4/4 and 4x/4. The 4s both ( 4x/4) cancel out and your left with x. Then you finsh off with 1.6 = x

Answer:

Out of these careers, an engineer would be the most geometric involved career.

Step-by-step explanation:

This answer is true through the process of elimination. A stockbroker focuses on economy in order to choose the right stock. A statistician focuses on graphing and statistics in terms of math. An accountant is focused on simple math in order to deduct and add to the sum of the money. The engineer has to use geometry in order to design plans for constructions.

Answer: engineer

Step-by-step explanation:

Answer:

How long would it have taken Greg alone?

4 minutes

Explanation:

If Greg and Cindy cleans the snow in 12 minutes

Then, it would take Cindy 20 minutes to clean it alone.

Therefore, we need to find the amount of time it would take Greg alone to clean the snow.

Let Greg be = x

Let Cindy be = y

x + y = 12 minutes

y= 20 minutes

To find x, we would get 20- 12 = 4 minutes

Therefore, it would take Greg alone 4 minutes to clean the snow from the driveway.

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The correct option is C)Yes, using the result from the 2014 survey only slightly increases the sample size. This means that using the result from the 2014 survey, which estimated the proportion of e-cigarette users, only slightly increases the sample size needed for the current survey.

Proportion refers to the relative or fractional amount or share of a particular characteristic or attribute within a population or sample. It is commonly expressed as a percentage or a decimal, representing the ratio of the number of individuals or items exhibiting the characteristic of interest to the total number of individuals or items in the population or sample.

According to the given information:

C. Yes, using the result from the 2014 survey only slightly increases the sample size.

The sample size required for a survey depends on several factors, including the desired confidence level, margin of error, and the estimated proportion of the population with the characteristic of interest (in this case, the current e-cigarette usage rate).

In this scenario, the confidence level is given as 99% and the margin of error as 2 percentage points. The estimated proportion of the population with the characteristic of interest is 3.74% based on the 2014 survey. Using these parameters, a sample size can be calculated using a sample size formula for estimating proportions.

The formula for calculating the sample size for estimating proportions is:

n = (Z^2 * p * (1-p)) / (E^2)

Where:

n = sample size

Z = z-score corresponding to the desired confidence level

p = estimated proportion of the population with the characteristic of interest

E = margin of error

Plugging in the given values:

Confidence level = 99% => Z = 2.62 (corresponding z-score for a 99% confidence level)

Margin of error = 2 percentage points => E = 0.02

Estimated proportion of e-cigarette users from the 2014 survey = 3.74% => p = 0.0374

Using these values in the sample size formula, we get:

n = (2.62^2 * 0.0374 * (1-0.0374)) / (0.02^2)

n ≈ 1022.8

So, the sample size required for the current survey is approximately 1023. This means that using the result from the 2014 survey, which estimated the proportion of e-cigarette users, only slightly increases the sample size needed for the current survey.

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Antipsychotic drugs and schizophrenia Antipsychotic drugs refer to medications utilized to alleviate symptoms of various mental health conditions, including schizophrenia.

Schizophrenia is a severe, lifelong mental health disorder characterized by psychotic symptoms, including delusions, hallucinations, and disorganized thoughts and behavior. Schizophrenia affects approximately 1% of the population worldwide, and it typically develops between the ages of 15 and 35. The precise cause of schizophrenia is still unknown.

However, genetic and environmental factors are believed to play a role.Antipsychotic drugs work by targeting the dopamine receptors in the brain, reducing the levels of dopamine, a neurotransmitter. Dopamine has been associated with psychosis and schizophrenia symptoms, including hallucinations and delusions. Antipsychotic drugs have been shown to be effective in treating the positive symptoms of schizophrenia, such as delusions and hallucinations.

However, they may be less effective in treating negative symptoms such as a lack of motivation and social withdrawal. Antipsychotic medications have become an essential part of treating schizophrenia. They can be used alone or in combination with other medications and therapies to treat schizophrenia. There are two types of antipsychotic medications, typical and atypical.

Typical antipsychotic medications are known to block dopamine D2 receptors, which reduce the effects of dopamine in the brain. Atypical antipsychotics have been shown to target both dopamine and serotonin receptors, which may explain their effectiveness in treating both positive and negative symptoms of schizophrenia. It is important to note that antipsychotic drugs have been associated with various side effects, including weight gain, diabetes, and movement disorders, among others.

Therefore, individuals taking antipsychotic medications must be closely monitored to ensure that any potential side effects are detected early and managed appropriately.In conclusion, antipsychotic drugs are medications utilized to alleviate symptoms of various mental health conditions, including schizophrenia. Schizophrenia is a severe, lifelong mental health disorder characterized by psychotic symptoms, including delusions, hallucinations, and disorganized thoughts and behavior.

Antipsychotic drugs work by targeting the dopamine receptors in the brain, reducing the levels of dopamine, a neurotransmitter. They have been shown to be effective in treating the positive symptoms of schizophrenia, such as delusions and hallucinations, but may be less effective in treating negative symptoms.

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The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

We have,

A normal distribution located between z = 0.50 and z = -0.50,

So,

Now,

From the Z-score table,

We get,

The Probability corresponding to the Z score of -0.50,

i.e.

P(-0.50 < X < 0) = 0.191,

And,

The Probability corresponding to the Z score of -0.50,

i.e.

P(0 < X < 0.50) = 0.191,

Now,

The proportion of a normal distribution,

i.e.

P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)

Now,

Putting values,

i.e.

P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)

Now,

Again putting values,

We get,

P(-0.50 < X < 0.50) = 0.191 + 0.191

On solving we get,

P(-0.50 < X < 0.50) = 0.382

So,

We can write as,

P(-0.50 < X < 0.50) = 38.2%

So,

The proportion of a normal distribution is 38.2%.

Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.

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A) The odds of picking a black jellybean are 14/37.

Step-by-step explanation:

The jar contains fourteen black, eight red, eleven yellow, and four green jellybeans.

Therefore, the Total number of jellybeans in the jar = 14+8+11+4=37

Since the question asks for odds, which is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Let us first find the number of favorable outcomes, i.e. the number of black jellybeans.

Therefore, the number of black jellybeans = 14

Now, the number of unfavorable outcomes is the number of jellybeans that are not black.

Therefore, the number of unfavorable outcomes = 37-14=23

Hence, the odds of picking a black jellybean are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.

Odds of picking a black jellybean = (number of favorable outcomes)/(number of unfavorable outcomes)=14/37

Answer: Odds of picking a black jellybean are 14/37.

B) The odds of picking a green jellybean are 5/35.

Step-by-step explanation:

The jar contains ten black, eight red, twelve yellow, and five green jellybeans.

Therefore, the Total number of jellybeans in the jar = 10+8+12+5=35

Since the question asks for odds, which is the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Let us first find the number of favorable outcomes, i.e. the number of green jellybeans.

Therefore, the number of green jellybeans = 5Now, the number of unfavorable outcomes is the number of jellybeans that are not green.

Therefore, the number of unfavorable outcomes = 35-5=30

Hence, the odds of picking a green jellybean are the ratio of the number of favorable outcomes to the number of unfavorable outcomes.

Odds of picking a green jellybean = (number of favorable outcomes)/(number of unfavorable outcomes)=5/30

Reducing the ratio to the simplest form, we get the odds of picking a green jellybean = 1/6

Hence, the odds of picking a green jellybean are 5/35.

Answer: Odds of picking a green jellybean are 5/35.

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Answer:

Yes

Step-by-step explanation:

1 yard is 3 feet. so 12 yards is 36 by 12*3

a.There is a 63.21% chance that the light bulb will have to be replaced within 500 hours.

The probability that the light bulb will have to be replaced within 500 hours can be calculated by finding the area under the exponential probability density function (PDF) from 0 to 500. Using the formula for the exponential PDF with a mean of 500, we get:

P(X ≤ 500) = 1 - e^(-500/500) ≈ 0.6321

Therefore, there is a 63.21% chance that the light bulb will have to be replaced within 500 hours.

b. There is a 39.35% chance that the light bulb will last between 200 and 800 hours.

The probability that the light bulb will last more than 1,000 hours can be calculated by finding the area under the exponential PDF from 1000 to infinity. Using the same formula, we get:

P(X > 1000) = e^(-1000/500) ≈ 0.1353

Therefore, there is a 13.53% chance that the light bulb will last more than 1,000 hours.

c. The probability that the light bulb will last between 200 and 800 hours is0.3935.

It can be calculated by finding the area under the exponential PDF from 200 to 800. Again, using the same formula, we get:

P(200 < X < 800) = e^(-200/500) - e^(-800/500) ≈ 0.3935

Therefore, there is a 39.35% chance that the light bulb will last between 200 and 800 hours.

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Answer:

I think it's (A). 5

I don't know

Answer:

5/8 > 1/2

Step-by-step explanation:

No need number line. Just use fraction walls

Answer:

a. ratio of height to head at 6 months old is 21/4.5 =(4.66) (the height is 4.66 times the head)

- if the ratio is the same when she is 20 she would have a head with (6ft 1in =73inches) 73/ 4.66 = 15.67 inches in diameter

b. ratio height to head at 20 yrs old = 73/7.65 = 9.54 (the height is 9.54 times the head)

-she would be about 15.6 * 4.66 = 72.70 inches tall at 20 yrs old if we the ratio at 6 months old

c. in part a ratio is 4.66, in b it is 9.54. it's a big difference

d.if she was taller at 6 months old. her head size will be smaller when she is 20 yrs compare to what we calculate.

the she was shorter at 6 months old. the ratio will be smaller and the head may have been as big as her body

Let me know if it helps, if you can please give brainliest

Answer:

Therefore, x > -4 .

Step-by-step explanation:

First, you have to collect like terms :

5x + x - 3x > -12

3x > -12

Next, you have to divide both sides by 3 in order to eliminate 3 on the left side :

3x > -12

3x ÷ 3 > - 12 ÷ 3

x > -4

Answer:

y = -2x + 100

where y and x are amount available on gift card and number of songs purchased.

Step-by-step explanation:

Good day,

This is an interesting question from linear graph

what you need to do first is to find the gradient (slope)

The slope(m) = ∆y /∆x

= ∆amount available on gift card

----------------------------------------------

∆ number of songs purchased

=( 100 - 0/( 0 - 50) = 100/-50

= -2

pick any points on the line

(40,20)

where y1 = 20 , x1 = 40

now using the relationship

y = m(x - x1) + y1

y = -2(x - 40) +20

y = -2x +80+20

y = -2x +100

Do well to ask questions in you don't understand.

Gracias.

Answer:

the formula for the area of a trapezoid is area =(top + bottom)/2 x height

using the given information we can solve

for x:

234 = (20+32)/2 X

234 = 52/2 X

234 = 26 X

X=234/26

X= 9 units

A) The best point estimate of the population P is 0.5399

B) The value of margin of error E.≈ 0.0267 (Round to four decimal places as needed)

C) A confidence interval is 0.5132 < p < 0.5666

A) The best point estimate of the population proportion (P) is calculated by dividing the number of respondents who said "yes" (x) by the total number of respondents (n).

In this case,

P = x/n = 557/1032 = 0.5399 (rounded to four decimal places).

B) The margin of error (E) is calculated using the formula: E = z * sqrt(P*(1-P)/n), where z represents the z-score associated with the desired confidence level. For a 99% confidence level, the z-score is approximately 2.576.

Plugging in the values,

E = 2.576 * sqrt(0.5399*(1-0.5399)/1032)

≈ 0.0267 (rounded to four decimal places).

C) To construct a confidence interval, we add and subtract the margin of error (E) from the point estimate (P). Thus, the 99% confidence interval is approximately 0.5399 - 0.0267 < p < 0.5399 + 0.0267. Simplifying, the confidence interval is 0.5132 < p < 0.5666 (rounded to four decimal places).

In summary, the best point estimate of the population proportion is 0.5399, the margin of error is approximately 0.0267, and the 99% confidence interval is 0.5132 < p < 0.5666.

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Some molecules which cannot be synthesized by cell but must be obtained from environment, then these types of molecules include vitamins and amino acids and are known as growth factors.

The "Growth-factors" are essential for various biological processes, including cell growth, development, and repair. They act as signaling molecules that bind to specific receptors on cells, initiating intracellular signaling pathways and triggering specific cellular responses.

By providing these molecules, the environment supports the cell's ability to function properly and carry out vital processes necessary for growth, development, and overall survival.

Obtaining growth factors from the environment becomes crucial in maintaining the necessary balance of these molecules for the cell's optimal functioning.

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Answer:

1139621600

Step-by-step explanation:

The answer is 1139621600, because if it is in 2001. All you have to o is multiply by 4. I don't know if this is correct. If they gave you another year and another set of numbers I would be able to clarify it more. So...if this isn't correct. I'm so sorry.

If you think its incorrect please say so in comments below. Any questions? Say them below as well.

I hope this helped.

:)

Signed,

tyreefrankinjr

Answer:

The real zeros of the quadratic function f(x) = -4x^2 - 6x + 1 are approximately -0.15 and -1.35.

Step-by-step explanation:

To find the real zeros of the quadratic function f(x) = -4x^2 - 6x + 1, we need to find the values of x that make f(x) equal to zero. We can do this by using the quadratic formula:

x = [-b ± sqrt(b^2 - 4ac)] / 2a

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c.

In this case, a = -4, b = -6, and c = 1. Substituting these values into the quadratic formula, we get:

x = [-(-6) ± sqrt((-6)^2 - 4(-4)(1))] / 2(-4)

x = [6 ± sqrt(52)] / (-8)

x = [6 ± 2sqrt(13)] / (-8)

These are the two solutions for the quadratic equation, which we can simplify as follows:

x = (3 ± sqrt(13)) / (-4)

Therefore, the real zeros of the quadratic function f(x) = -4x^2 - 6x + 1 are approximately -0.15 and -1.35.

the equilibrium point Neq = a/b is unstable.The two-term expansion can be used to confirm the stability and instability of the equilibrium point.

Problem (a):In the given problem, the following equation is provided:N(t + At) - N(t) = AtN(t - Atſa - N(t-At)], a,b > 0

In order to find the equilibrium points, the given equation is set equal to zero:0 = AtN(t - Atſa - N(t-At)]) + N(t) - N(t + At)

Thus, the equilibrium points of the given equation are:Neq = (a + N(t - At))/b and Neq = 0

For the first equilibrium point, we have the two-term expansion for a solution starting near Neq: Nm = Neq + ym

This can be simplified to:Nm = [(a + N(t - At))/b] + ym

On simplification, we get:Nm = (a/b) + (1/b)N(t-At) + ym

We can now find the conditions under which the equilibrium points are stable and unstable.

We can start with the equilibrium point Neq = 0:For N(t) < 0, the sequence N(t) will approach negative infinity.

Hence, the equilibrium point Neq = 0 is unstable.

For Neq = (a + N(t - At))/b, we have the following condition to check the stability:|(d/dN)[AtN(t - Atſa - N(t-At)])| for Neq < a/b

This condition is simplified to:At[(1 - a/(Nb)) - 2N(t - At)/b]

Thus, if At[(1 - a/(Nb)) - 2N(t - At)/b] > 0, then the equilibrium point Neq = (a + N(t - At))/b is unstable, and if the condition is < 0, then the equilibrium point is stable.

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The results of the expressions are as follows: num1 + num2 = 17; num3 - num4 = 7; num1 * num4 - num2 = 31; num3 / num2 = 2; num1 % num4 = 0.

To determine the results of the expressions, we can evaluate them using the given assignments:

num1 + num2:

Result: 12 + 5 = 17

num3 - num4:

Result: 10 - 3 = 7

num1 * num4 - num2:

Result: 12 * 3 - 5 = 31

num3 / num2:

Result: 10 / 5 = 2

num1 % num4:

Result: 12 % 3 = 0

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Answer:

  P(A or B) = 0.64

Step-by-step explanation:

You want the probability that A or B will occur, given the occurrence counts shown in the Venn diagram.

The formula shown in the diagram shows you how to compute the probability. It can be simpler than that.

The number of counts in the circles A or B is ...

  8 + 3 + 10 = 21.

The total number of counts in the diagram is ...

  21 +12 = 33

Then ...

  P(A or B) = (counts of A or B)/(total counts) = 21/33 = 7/11 = 0.6363...

Rounded to hundredths, the probability is ...

  P(A or B) = 0.64

__

Additional comment

If you use the formula, it tells you ...

  P(A or B) = 11/33 +13/33 -3/33 = 21/33 ≈ 0.64

Note that we have added 3/33 to the sum twice and subtracted it once. The computation shown above eliminates the extra addition and subtraction.

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Answer:

\(\huge\boxed{\frac{44}{45}}\)

Step-by-step explanation:

To solve this problem first change the mixed number into an improper fraction.  

1 2/9 --> 1 = 9/9 --> 9/9 + 2/9 = 11/9

Then, simply multiply the numerator and denominator of each fraction.

4 * 11 = 44

——————

5 * 9  = 45

44/45

Hope it helps :) and let me know if you want me to elaborate.

The money market account earns 8/4 = 2% interest per quarter.

In one year, there are 4 quarters.

so, the formula to calculate the balance after 8 years is:

A = P (1 + r/n)^(nt)

where A is the final balance, P is the principal (initial investment), r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years the money is invested for.

Substituting in the given values,

A = 1000 (1 + .02)^(4*8)

A = 1000 (1.02)^32

A = 1000 (1.8587)

A = 1858.7

So after 8 years, Ed will have earned $1858.7.

The equivalent equation to the (x² - 5)² - 3x² + 15 = -2 in form of 'm' is given by option c.  m² -3m + 2 = 0.

The equation is equal to,

(x² - 5)² - 3x² + 15 = -2

let the value of m be equals to x² - 5.

Simplify the equation we have,

⇒ ( x² - 5 )² - 3x² + 15 = -2

Take '3' common factor from the 3x² + 15 so that it get convert into x² - 5 we get,

⇒ ( x² - 5 )² - 3 (x² - 5 )  = -2

Now replace x² - 5 by m to get the equivalent equation,

⇒ ( m )² - 3 (m ) = -2

⇒ m² -3m + 2 = 0

Therefore, the equivalent equation to the given equation is written as option c.  m² -3m + 2 = 0.

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Given:

There are seven total digits.

The first 3 are already selected, so there is a choice for 4 digits.

There are 10 possible choices for each of the other 4 digits, so there are a total of 10×10×10×10 choices. Therefore:

Answer: 10000

Probably not all driving scenarios can be accurately simulated by a driving simulator. Additionally, it's likely that simulator users have a different mindset than when they're actually behind the wheel.

The cited data:

Idea applied in experiment:

A driving simulator is therefore unlikely to adequately replicate all driving scenarios, which is one of our concerns about extending the outcomes of such an investigation.

Thus, users of driving simulators are also probably in a different frame of mind than they are while driving is real life.

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Farmer Ed has 3,000 meters of fencing and wants to enclose a rectangular plot that borders on a river.The largest area that can be enclosed is 750,000 square meters.

To get the largest area that can be enclosed, we have to find the dimensions of the rectangular plot. Let's assume that the width of the rectangle is x meters.The length of the rectangle can be found by subtracting the width from the total length of fencing available:L = 3000 - x. The area of the rectangle can be found by multiplying the length and width:Area = L × W = (3000 - x) × x = 3000x - x²To find the maximum value of the area, we can differentiate the area equation with respect to x and set it equal to zero.

Then we can solve for x: dA/dx = 3000 - 2x = 0x = 1500. This means that the width of the rectangle is 1500 meters and the length is 3000 - 1500 = 1500 meters.The area of the rectangle is therefore: Area = L × W = (3000 - 1500) × 1500 = 750,000 square meters. So the largest area that can be enclosed is 750,000 square meters.

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