what's the value of given expression

\( \sqrt{ {20 + 5}^{2} } \)
​

Answer:

d

Step-by-step explanation:

P = 35/128  is the probability that the number of heads obtained from flipping the two fair coins is the same.

Describe probability using an example?

P( oH )  = ³C₀ (1/2)³ . ⁴C₀ (1/2)⁴  = 1 . 1/128

P( 1H) = ³C₁ (1/2)³ . ⁴C₁( 1/2 )⁴ = 12/128

P( 2H ) = ³C₂ (1/2)³ . ⁴C₂ (1/2)⁴ = 18/128

P( 3H) = ³C₃ ( 1/2)³ . ⁴C₃ ( 1/2)⁴ = 4/128

P = 1/128 + 12/128 + 18/128 + 4/128

P = 35/128

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Answer:

100

Step-by-step explanation:

4 dirhams = $1

4x1=4

4x25= 100

The number of franchises predicted for 15 years from now is 24. To determine the number of franchises predicted for 15 years from now, we need to solve the given differential equation.

The equation dn =\(\frac{9}{t+1}\) dt represents the rate at which the number of franchises (dn) is changing with respect to time (dt). Integrating both sides of the equation gives us the equation n = 9 ln(t+1) + C, where C is the constant of integration.

Given that there is one franchise at present (t = 0), we can substitute n = 1 and solve for C. Plugging in the values, we get 1 = 9 ln(0+1) + C, which simplifies to C = 1 - 9 ln(1) = 1.

Now, to find the number of franchises predicted for 15 years from now (t = 15), we substitute t = 15 into the equation n = 9 ln(t+1) + C. Plugging in the values, we get n = 9 ln(15+1) + 1, which simplifies to n = 24. Therefore, the predicted number of franchises for 15 years from now is 24.

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Answer:

$146.66

Step-by-step explanation:

I bopped this into a percentage calculator and this is what I got

According to the National Survey on Drug Use and Health, approximately 18.53% of U.S. adults (ages 18 and older) experienced some form of mental illness in 2016.

Approximately 18.53% of U.S. adults suffered from mental illness in 2016. This percentage represents the prevalence of mental health disorders among the adult population, which is important to understand in order to address and provide support for those affected.

This includes a range of conditions such as anxiety disorders, depression, bipolar disorder, and schizophrenia. It's important to note that mental illness can vary in severity and can impact individuals differently, and seeking professional help can greatly improve one's quality of life.

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If you go twice as fast, your stopping distance will increase by four times (option C).

This relationship is based on the laws of physics and the principles of motion.

When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).

According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.

It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.

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Answer:

638 miles

Step-by-step explanation:

Key skills needed: Proportions, Unit Rates

1) The car can go 464 miles with 16 gallons of gasoline. We need to find how many miles each gallon gasoline results in.

To find the miles per gallon, we would do 464 miles/16 gallons --> 29 mpg

This means each gallon lets the car run 29 miles.

2) To find out how many miles 22 gallons is, we then do 29 x 22, which is 638 miles.

Therefore, your answer is 638.

Hope you understood and have a nice day!!

Answer:

200

Step-by-step explanation:

Answer:

0, 2/5, 1/6,-3/4,-7/10

Step-by-step explanation:

this is just what i think i didint understand the no spaces or no commas or negatives thing but here you go i hope its right

Answer:

10. y=-4x+3

12. y=\(\frac{1}{2}\)x+3

Step-by-step explanation:

In order for a line to be perpendicular to another, their slopes must be opposite reciprocals.

1. Put the given equations into slope-intercept form. (y=mx+b)

2. Identify the opposite reciprocal of the original equations. (#10: -4 & #12: \(\frac{1}{2}\))

3. Plug your given coords and opposite reciprocals into point-slope formula (y-y₁=m(x-x₁)) and simplify the expression to get your equation of the line.

Answer: 51.75 mph

Step 1: Divide 1242 by 24 to get your answer, because there are 24 hours in a day.

1242 ÷ 24 = 51.75

Add the mph sign to the answer.

51.75 mph.

Hope this helps you!

9514 1404 393

Answer:

  3

Step-by-step explanation:

If you need to, you can use your calculator to evaluate this expression. Or, you can make use of your knowledge of trig function values.

  sin(150°) = sin(30°) = 1/2

  tan(315°) = tan(-45°) = -tan(45°) = -1

  cos(300°) = cos(-60°) = cos(60°) = 1/2

  sec(360°) = sec(0°) = 1

Then the expression evaluates to ...

  1/2 -(-1) +1/2 +1² = 3

Answer:

see explanation

Step-by-step explanation:

sin150° = sin(180 - 150)° = sin30°

tan315° = - tan(360 - 315)° = - tan45°

cos300° = cos(360 - 300)° = cos60°

sec²360° = \(\frac{1}{cos^2360}\)

Then expressing the original gives

sin150° - tan315° + cos300° + sec²360°

= sin30° - (- tan45°) + cos60° + \(\frac{1}{cos^2360}\)

Evaluate using exact values

= \(\frac{1}{2}\) - (- 1) + \(\frac{1}{2}\) +\(\frac{1}{1}\)

= \(\frac{1}{2}\) + 1 + \(\frac{1}{2}\) + 1

= 3

Answer:

i think it's 4 because 12 divided by 3 is 4

Answer: 4

Step-by-step explanation:

multiply 12 by 1/3 to get 12/3

divide 12 by 3 to get 4!

hope this helps!

In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.

THE MATCHING LAW

Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.

After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.

Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.

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The correct definition of a payment shock is B. The new payment after the initial fixed-rate period is much higher than the homeowner expected.

A payment shock refers to a dramatic or large increase in an individual's debts or payment obligations that may cause them to default on their loans.

Payment shocks can occur for the following reasons:

If a debtor is suddenly obliged to pay more in monthly debt than they can afford from their income, a payment shock has occurred.

The correct definition of a payment shock is B. The new payment after the initial fixed-rate period is much higher than the homeowner expected.

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Answer:

B

Step-by-step explanation:

Answer:

5x less than 300  - 165

Step-by-step explanation:

It will take 27 days to take in animals without exceeding its occupy limit.

An expression which is made up of variables and constants , along with algebraic operation (addition , subtraction etc ) is called Algebraic expression.

According to the question :

165 + (x) 5 = 300

5x = 135

x = 27

Hence , it will take 27 days to occupy the limit

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The 95% confidence interval for the difference between the proportion of the population who would survive at least 15 years can be used to estimate the range within which the true difference lies.

It provides a measure of uncertainty around the point estimate. The confidence interval can be interpreted as follows: we are 95% confident that the true difference in proportions of the population who would survive at least 15 years falls within the calculated interval. To construct the confidence interval, we first need to obtain sample data from the population. Let's assume we have collected data from two independent samples. From Sample 1, we find that out of n1 individuals, x1 survive at least 15 years. Similarly, from Sample 2, we have n2 individuals, with x2 surviving at least 15 years. To calculate the confidence interval, we use the formula: CI = (p1 - p2) ± Z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)) Where p1 = x1 / n1 and p2 = x2 / n2 are the sample proportions, and Z is the critical value corresponding to the desired confidence level (in this case, 95%). The critical value is determined based on the standard normal distribution. Once we have the confidence interval, let's say [lower limit, upper limit], we can interpret it as follows: We are 95% confident that the true difference in proportions between the two populations who would survive at least 15 years lies between the lower limit and the upper limit. In other words, there is a high likelihood that the actual difference falls within this range. The confidence interval allows us to make inferences about the population based on our sample data. It provides a range of plausible values for the difference in proportions, taking into account the variability of the sample. The wider the confidence interval, the greater the uncertainty in our estimate. Conversely, a narrower interval indicates a more precise estimation.

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Answer:

1. 60%

2a. (the diagram is attached)

b-i. 39

b-ii. 72

b-iii. I dont know...sorry :(

b-iv. 52

Step-by-step explanation:

1. U= 100%

Kano alone = 20-5= 15%

PH alone= 25-5= 20%

Kano n PH = 5%

None of the two= x

15+20+5+x= 100

40+x=100

X= 100-40

X= 60%

The probability of the weather forecast being correct on the randomly chosen day is 0.6, and the probability of it not being correct is 0.4.

To find the probability of the weather forecast being correct or not correct on a randomly chosen day, we need to use the information given:
Total number of days: 300
Number of days the weather forecast was correct: 180
First, let's find the probability that the weather forecast was correct on the randomly chosen day:
Probability of correct forecast = (Number of correct forecasts) / (Total number of days)
Probability of correct forecast = 180 / 300
Probability of correct forecast = 0.6
Now, let's find the probability that the weather forecast was not correct on the randomly chosen day:
Probability of incorrect forecast = 1 - Probability of correct forecast
Probability of incorrect forecast = 1 - 0.6
Probability of incorrect forecast = 0.4

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The key reason why this investigation's findings are erroneous is sampling bias. In statistics, sampling bias refers to a bias during which a sample is constructed in a way that makes some members of the intended population less likely than others to be included.

A private university's 100 students, 50 men, and 50 women were randomly chosen to participate in a study on how American college students felt about commuting. They were questioned about their daily commuting distance (in minutes) to college. The key reason why this investigation's findings are erroneous is sampling bias.

When certain individuals of a population are consistently more likely to be chosen in a sample than others, this is known as sampling bias. In the medical sciences, it is also known as ascertainment bias. Because sampling bias jeopardizes external validity, particularly population validity, it restricts the generalizability of findings.

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Answer: B

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\frac{18}{80}\) is the probability of pupil that uses the swimming pool but not the gym.

It is given that:

Total students are 80

32 pupils use the swimming pool

43 pupils use the gym

19 pupils use neither the swimming pool nor the gym

To know the pupils who use both add 32+43 = 75

75-61= 14 pupils use both

32-14 = 18 pupils use only the swimming pool

43-18= 29 pupils use only the gym

Hence, \(\frac{18}{80}\) is the probability of pupil that uses the swimming pool but not the gym.

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When booking a show for a future date, it is normal practice for the booking agent to collect a 50% advance fee when the advances are not given for shows. This is to ensure that the performer is fully committed to performing at the event and to cover any expenses that may be incurred in the process.

The advance fee is usually non-refundable and is paid by the promoter or venue operator to the booking agent. This is to show their commitment to the performer and to demonstrate that they are serious about booking them for the event. The remaining balance is then usually paid on the day of the performance or shortly after.

The booking agent should also ensure that all parties involved in the booking are aware of the terms and conditions and have signed a contract or agreement to confirm their agreement.

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Using proportions, it is found that the degree of rotational symmetry for a regular dodecagon is of 30º.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For degree of rotational symmetry for a regular polygon of n sides is given by:

360º/n.

A dodecagon has 12 sides, hence:

360º/12 = 30º.

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Answer:

1

Step-by-step explanation:

Any number to the 0th power = 1

=> 1 * 1 * 1

=> 1

Hope it helps :)

Answer:

1

Step-by-step explanation:

note that

\(a^{0}\) = 1 , then

\(2^{0}\) × \(3^{0}\) × \(5^{0}\)

= 1 × 1 × 1

= 1