The subject is: Solving Quadratic Formula, if you know the answer and it’s correct please let me know, if not, do not comment.

Answer: my teacher did this with me today.

Step-by-step explanation:

Explanation in picture

P-value =0.0108 , The true mean stay is longer than 4 days.

AS per the details given in the above question are as follow,

The details are,

The random sample size  of patient n=28

The sample sample mean time \($=\bar{x}=4.6$\)

The sample standard deviation is S.D. \($=S=1.3$\)

Where \($\alpha=0.05$\)

Degree of freedom =n-1

Substitute the value in above equation we get,

Degree of freedom =28-1=27.

Point estimate = n - α

substitute the value in above question we get,

Point estimate=1.3- 0.5 = 0.6

Standard error= sample standard deviation/ sample mean^α

Standard error=0.246

Test statistic = Point estimation / Standard error

Test statistic = 2.442

Critical value for right trailed = T. Inv(Level of significance X Point estimation)

Critical value for right trailed = 1.703

P value for right trailed = T. Div (Level of significance  X Degree of freedom)

p-value \($=0.0108$\)

p-value \($ < \alpha$\)

There is sufficient evidence to conclave that the true mean stay longer than 4 days.

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Note:- The correct question is ,

The president is concerned about the escalating costs of providing health care in the United States. One of the components contributing to the increasing cost is the length of the hospital stay of a patient. In a random sample involving 28 patients, the sample mean time was 4.6 days with sample standard deviation s=1.3 days. We would like to know if these results demonstrate that the true mean stay of a patient is significantly longer than 4 days, by carrying out a test using a significance level of \($\alpha=0.05$\) significance. Determine the P-value of the test, and what decision should be made?

a)P-value =0.0108, The true mean stay is longer than 4 days.

b)P-value =0.0073, The true mean stay is longer than 4 days.

c)P-value =0.9892, The true mean stay is not longer than 4 days.

d)P-value =0.0108, The true mean stay is not longer than 4 days.

It would take them 9/10 of an hour to mow the lawn together.

To solve the problem, we can use the formula:
time = work / rate
Let's first find the rates of Fred and Melissa. Fred can mow the lawn in 90 minutes, so his rate is:
1 lawn / 90 minutes = 1/90 lawns per minute
Similarly, Melissa's rate is:
1 lawn / 30 minutes = 1/30 lawns per minute
When they work together, their rates add up:
rate together = rate of Fred + rate of Melissa
rate together = 1/90 + 1/30
rate together = 1/54 lawns per minute
Now we can use the formula to find the time it takes for them to mow the lawn together:
time = work / rate
time = 1 lawn / (1/54 lawns per minute)
time = 54 minutes
Therefore, it would take Fred and Melissa 54 minutes to mow the lawn if they worked together. This can be expressed as the reduced fraction 9/10.

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Answer:

9 x^2 + 24 x + 16 or (3 x + 4)^2

Step-by-step explanation:

Simplify the following:

(3 x + 4) (3 x + 4)

(3 x + 4) (3 x + 4) = (3 x + 4)^2:

Answer: |

| (3 x + 4)^2

or

Expand the following:

(3 x + 4) (3 x + 4)

(3 x + 4) (3 x + 4) = (3 x + 4)^2:

(3 x + 4)^2

(3 x + 4) (3 x + 4) = (3 x) (3 x) + (3 x) (4) + (4) (3 x) + (4) (4):

3 3 x x + 4 3 x + 4 3 x + 4 4

3 x×3 x = 3×3 x^2:

9 x^2 + 4 3 x + 4 3 x + 4 4

3×3 = 9:

9 x^2 + 4 3 x + 4 3 x + 4 4

4×3 = 12:

9 x^2 + 4 3 x + 12 x + 4 4

4×3 = 12:

9 x^2 + 12 x + 12 x + 4 4

4×4 = 16:

9 x^2 + 12 x + 12 x + 16

Grouping like terms, 9 x^2 + 12 x + 12 x + 16 = 9 x^2 + (12 x + 12 x) + 16:

9 x^2 + (12 x + 12 x) + 16

12 x + 12 x = 24 x:

Answer: |

| 9 x^2 + 24 x + 16

Answer:

80

Step-by-step explanation:

so 77 but you round it to 80 (sorry i dont know how to explain it that well but its 80)

Answer:

no cause two side sum like 13+6= 19 has to be bigger than the third side in this case 7 but 7+6=13 which isn't bigger than 13 or the third side isn't smaller than the other two side sum so no it can't

Answer:

No it does not apply to this problem because the submarine starts at a depth of 100 feet below sea level.

The first scenario described is an example of a retrospective cohort study.  The second scenario suggests a retrospective cohort study as well. The third scenario represents a cross-sectional study, where researchers conduct a survey among high school students to assess the prevalence of obesity and diabetes.

1. In the first scenario, a retrospective cohort study is conducted by tracking individuals over a 20-year period. The study begins in 1960 and collects data on cigar smoking practices. After 20 years, the participants are followed up to determine if they developed any cancers. This type of study design allows researchers to examine the long-term effects of smoking Cuban cigars.

2. The second scenario involves a retrospective cohort study as well. The objective is to study the long-term neurological effects of a discontinued anesthetic agent. The researchers identify patients who received the drug before it was discontinued and then assess the occurrence of subsequent neurological disorders. This study design allows for the examination of the relationship between exposure to the anesthetic agent and the development of neurological disorders.

3. The third scenario represents a cross-sectional study. Researchers aim to assess the prevalence of obesity and diabetes among high school students during their junior year. They conduct a survey to gather information on the students' current weight, diabetes status, and other relevant factors. A cross-sectional study provides a snapshot of the population at a specific point in time, allowing researchers to examine the prevalence of certain conditions or characteristics.

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The number the teacher gave Ross is 5127

From the question, we are to determine the number that the teacher gave Ross

From the given information,

Mr. David gave Ross a number and asked him to divide it by 15.

Let the number be x

That is,

x/15

The quotient and remainder obtained by ross are 341 and 12 respectively

That is,

x/15 = 341 + 12/15

Now, we will solve the equation for x

x/15 = 341 + 12/15

Multiply through by 15

x = 15×341 + 12

x = 5115 + 12

x = 5127

Hence, the number the teacher gave Ross is 5127

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The explicit solution of the initial value problem y′=y(y−1), y(0)=4 is y = 1/(1-3e^-x).

To find the explicit solution, we begin by separating the variables and integrating both sides:

dy/dx = y(y-1)

(dy/y(y-1)) = dx

Integrating both sides yields

ln|y-1| - ln|y| = -x + C

where C is a constant of integration.

We can simplify this expression by combining the logarithms using the identity ln(a/b) = ln(a) - ln(b):

ln|(y-1)/y| = -x + C

Taking exponential of both sides gives

|(y-1)/y| = e^(C-x)

Letting k = e^C, we can rewrite this as:

(y-1)/y = ± k e^-x

Rearranging and solving for y, we obtain:

y = 1/(1-k e^-x )

We can determine the value of k using the initial condition y(0) = 4:

4 = 1/(1-k)

Solving for k gives k = 3.

Substituting k=3 into the expression for y, we get:

y = 1/(1-3e^-x)

Therefore, the explicit solution of the initial value problem is y = 1/(1-3e^-x), where y(0) = 4.

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All the real values of p such that 2(x - 4)(x - 2p) has a minimum value of -18 over all real values of x is p = 1 and p = -5.

Given that:

2(x + 4)(x - 2p)

It is required to find the values of p such that this expression has a minimum value of -18.

Expand the given expression.

2(x² + 4x - 2px - 8p)

2(x² + (4 - 2p)x - 8p)

2x² + (8 - 4p)x - 16p

The minimum value of the function can be found by first, setting the derivative equal to 0.

Differentiating,

4x + (8 - 4p) = 0

4x = 4p - 8

x = p - 2

Substitute x = p - 2 to the function 2(x + 4)(x - 2p).

When the value of the function is -18,

2(p - 2 + 4)(p - 2 - 2p) = -18

2(p + 2)(-p - 2) = -18

(p + 2)(-p - 2) = -9

(p + 2)² = 9

p + 2 = ±3

When p + 2 = 3, p = 1.

When p + 2 = -3, p = -5.

Hence the p values are 1 and -5.

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The rate of return on this investment is -0.2191.

To calculate the approximate real rate of return on your investment, we need to account for inflation and adjust the nominal rate of return.

Nominal Rate of Return = (Sale Price + Dividends - Purchase Price) / Purchase Price

Inflation Rate = 2.5% (as stated in the question)

Adjusted Nominal Rate of Return = (1 + Nominal Rate of Return) / (1 + Inflation Rate) - 1

Now let's calculate the values:

Nominal Rate of Return = ($56.90 + $2.00 - $78.00) / $78.00 = -$19.10 / $78.00 ≈ -0.2451

Adjusted Nominal Rate of Return = (1 - 0.2451) / (1 + 0.025) - 1 ≈ -0.2191

The approximate real rate of return on this investment is approximately -0.2191, indicating a negative return. This means that the investment has experienced a loss after accounting for inflation.

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The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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Answer: 51

Step-by-step explanation: TELL ME IF IM RIGHT

Answer:

Step-by-step explanation:

5.33

Answer:

24:1 or 24/1

Step-by-step explanation:

288/12 = 24

This is the unit rate.  There are 24 tennis balls for each racket.

Answer: 24

Step-by-step explanation:

288/12=24

THERE ARE 24 BALLS PER TENNIS RACKET.

The value of segment of the triangle v is x = 2, and the value of u = 2√2.

A right triangle is a triangle with one right angle, while an isosceles triangle is a sort of triangle with two equal-length sides (90 degrees). An isosceles right triangle is one that has a right angle and two congruent sides. An isosceles triangle has two equal-sized angles on either side of its congruent sides. An isosceles right triangle has one angle that is 90 degrees and two congruent angles.

The given triangle is a special triangle with the angle 45-45-90, thus the side lengths are in ratio x : x: x√2.

The value corresponding to angle 45 is 2.

Thus, the value of side v is x = 2, and the value of u = 2√2.

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The correct choice is within your skills and abilities.

Once you get to determine things you are capable of and things you are not capable of, you will be able to concentrate on your strengths more. This will in turn produce big results as compared to if you opted to concentrate on your weaknesses.

It will also result in no or less time wasted in doing what you are less capable of.

Its almost close to impossible to be able to do everything. Each person is gifted in a certain area or skill or capability. We are all different and that's okay.

Its so important to concentrate in the areas you are more comfortable with. This will help you much with improving your skills and abilities.

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Answer:

Step-by-step explanation:

a you just had to say a

Step-by-step explanation:

Funny question!

AE=BD

A= BD/E

Then,

CD=CE

D=E

therefore, A=BE/E (SINCE, D=E)

So, A=B

or, AC= BC (multiplying by C)

Step-by-step explanation:

Hell yes, I'll take 5 please

Answer:

Yes! Wet teddy bears are fire! I'll take 4, pls!

Step-by-step explanation:

Where the above conditions exist,

The random variable T = L + C represents the total time it takes Lorelei and Chance to finish a randomly selected 3-layer wedding cake. Since L and C are independent and Normally distributed, T is also Normally distributed with mean:

Mu_T = Mu_L + Mu_C = 37 + 52 = 89

and variance:

Var(T) = Var(L) + Var(C) = 12^2 + 7^2 = 193

So the standard deviation of T is:

Sigma_T = sqrt(Var(T)) = sqrt(193) = 13.89

The shape of T is also Normally distributed, since it is a sum of two independent Normally distributed variables.

To find the probability that Lorelei and Chance finish a randomly selected 3-layer wedding cake in under 90 minutes, we need to calculate the z-score for this value and then find the corresponding probability from the z-table. The z-score is:

z = (90 - 89) / 13.89

= 0.072

From the z-table, we find that the probability of a Z-score less than or equal to 0.072 is 0.5287.

Therefore, the probability that Lorelei and Chance totally finish a randomly selected 3-layer wedding cake in under 90 minutes is 0.5287 or approximately 53%.

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The expression for #PQR using the given symbols is as follows: (P∧Q)∨(P∧R)∨(Q∧R).



To express #PQR using the symbols P, Q, R, ∧ (conjunction), ¬ (negation), and parenthesis, we need to construct a logical expression that represents the majority of P, Q, and R.

The given definition states that #PQR is true if at least two of P, Q, or R is true and false otherwise.

To express this using the allowed symbols, we can break it down into individual cases and use conjunction (∧) and disjunction (∨) operations.

Case 1: At least two of P, Q, or R are true.
We can represent this case as (P∧Q)∨(P∧R)∨(Q∧R). This expression evaluates to true when at least two of the three variables (P, Q, or R) are true.

Case 2: None or only one of P, Q, or R is true.
Since we want the expression to be false in this case, we don't need to include any additional terms. The expression from Case 1 already covers all the necessary conditions.

Therefore, the expression (P∧Q)∨(P∧R)∨(Q∧R) correctly represents #PQR using the given symbols, ensuring that it evaluates to true when at least two of P, Q, or R are true, and false otherwise.

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The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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Answer:

x=2

Step-by-step explanation:

Answer:

13 stamps : 17 stickers

Step-by-step explanation:

52 stamps : 68 stickers can be simplified down to 13 stamps : 17 stickers because their greatest common factor is 4

The measure of arc BC is 720 times the measure of angle BAC.

Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).

To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:

AB * BC = AC * CE

16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)

Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:

Area = π * r^2

289 = π * r^2

r^2 = 289 / π

r = √(289 / π)

Now, we can substitute the known values into the equation for the product of the segments:

16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8

To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.

mBC = 0.5 * m(arc BC)

To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:

arc BC = (mBC / 0.5) * 360

arc BC = 720 * mBC

Therefore, the length of the arc BC equals 720 times the length of the angle BAC.

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There can be 91,960 possible combinations to open the safe.

To calculate the number of possible combinations for the safe, we can use the formula for combinations. Since we need to choose three numbers out of forty without repetition, the formula would be:

\(nCr = n! / r!(n-r)!\)

Where n is the total number of options and r is the number of options we need to choose. In this case, n is 40 (the total numbers to choose from) and r is 3 (the number of numbers needed to open the safe).

Plugging the values into the formula:

\(40C3 = 40! / 3!(40-3)!      = 40! / 3!37!\)

Using factorial notation, we simplify further:

\(40! = 40 \times 39 \times 38 \times 37!3! = 3 \times 2 \times 1\)

Canceling out the 37! terms:

\(\(40C3 = (40 \times 39 \times 38) / (3 \times 2 \times 1)      = 91,960\)\)

Therefore, there can be 91,960 possible combinations to open the safe.

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Answer:

Mia: do not intersect, zero

Roberto: cannot

Delmar: never, zero

Answer:

False.

6 miles is farther than 6 kilometers. One mile is equal to 1.60934 kilometers, so 6 miles is equal to 6 x 1.60934 = 9.65604 kilometers. Therefore, 6 miles is farther than 6 kilometers.

Step-by-step explanation:

The answer is:

Work/explanation:

We can't really compare two things if they have different units.

So we need to convert kilometers to miles first.

1 km is approximately equal to 0.621 miles.

So 6 km would be approximately 3.728 miles.

6 miles is further away than 3.728 miles.

6 km is not as far as 6 miles. And now we know why.