Of students taking both English 12 Honors and a senior level math course (AP Stats, AP Calculus, Pre-Calculus, College Prep Math, or Topics), 37% of students got an A in English, and 24% of students got an A in Math. 16% got an A in both classes.



What is the probability that a randomly selected student got an A in Math, but not English?

Answer: 17 times

Step-by-step explanation:

It takes 6 times for the first recipe (.25x6=1.5)

It takes another 11 times for the second recipe (.25x4=2 + .25x3 = 0.75)

You add 6 + 11 and get 17

Answer:

0.6

Step-by-step explanation:

The values of \(x\) are \(1+\sqrt{89}\) and \(1-\sqrt{89}\).

To find the values of x:

Given equation: \((x+7)(x-9)=25\)

Then: \(x(x-9)+7(x-9)=25\)

Using the distributive property: \(a.(b+c)=a.b+a.c\)

\(x^{2} -9x+7x-63=25\)

Combine like terms:

\(x^{2} -2x-63=25\)

Subtract 25 from both sides and obtain:

\(x^{2} -2x-88=0\)

Using completing square form:

Add and subtract \((\frac{2}{2} )^{2} =1\) we have:

\(x^{2} -2x-88+1-1=0\\(x-1)^{2} -89=0\)

Add 89 to both sides we have:

\((x-1)^{2} =89\)

Taking square roots on both sides, obtain:

\(x-1=\) ± \(\sqrt{89}\)

Add 1 to both sides we have:

\(x=1\)±\(\sqrt{89}\)

Therefore, the values of \(x\) are \(1+\sqrt{89}\) and \(1-\sqrt{89}\).

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The complete question is given below:

Use completing the square to solve (x + 7)(x – 9) = 25 for x.

Answer:

A one tailed test

Step-by-step explanation:

Chi-Square Distributions That Are Positively Skewed Have A Research Hypothesis That Is A One-Tailed Test.

Chi-Square distributions are positively skewed, with the degree of skew decreasing with increasing degrees of freedom.

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One-Tailed Test

Chi-Square distributions that are positively skewed have a research hypothesis that is a One-Tailed Test.

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You can suggest that managers should avoid the quick-fix mentality that makes management by best-seller so tempting by implementing the following strategies:

1. Understand the Unique Nature of Your Business: Managers should take the time to understand the unique nature of their business. They should realize that what worked for another company may not work for their own company.

2. Avoid Short-Term Solutions: Managers should avoid short-term solutions that provide quick results. They should focus on long-term solutions that will benefit the organization in the long run.

3. Develop a Comprehensive Strategy: Managers should develop a comprehensive strategy that includes long-term goals and objectives. They should also have a plan in place to achieve those goals.

4. Invest in Employee Development: Managers should invest in employee development by providing training and development opportunities. This will help to build a strong workforce that is capable of handling complex challenges.

5. Encourage Collaboration: Managers should encourage collaboration among team members. This will help to create a culture of teamwork and cooperation.

6. Monitor Progress: Managers should monitor progress and adjust strategies as necessary. This will help to ensure that the organization is on track to achieving its goals.

By following these strategies, managers can avoid the quick-fix mentality that makes management by best-seller so tempting. They can focus on long-term solutions that will benefit the organization in the long run.

Hope this helped you...

A) Depreciation on buildings and equipment ($17,500), B) Advertising still prepaid at year end ($2,200), C) Interest due on notes payable ($4,300), D) Unearned rental revenue ($6,900), and E) Interest receivable on notes receivable ($1,200).

A) To account for depreciation on buildings and equipment, an adjusting entry is made to allocate the cost of these assets over their useful lives. This entry reduces the value of the buildings and equipment by $17,500, reflecting the portion of their value that has been consumed during the period.

B) Advertising expenses that are prepaid at year-end need to be recognized as an expense in the current period. An adjusting entry is made to reduce the prepaid advertising account by $2,200, reflecting the portion of the prepaid expense that has been used up.

C) Interest due on notes payable represents an expense that has been incurred but not yet paid or recorded. An adjusting entry is made to recognize this expense of $4,300, reflecting the amount of interest accrued on the outstanding notes payable.

D) Unearned rental revenue represents advance payments received for rental services that are yet to be provided. An adjusting entry is made to reduce the unearned rental revenue account by $6,900, reflecting the portion of the revenue that has been earned and should now be recognized.

E) Interest receivable on notes receivable represents interest income that has been earned but not yet received or recorded. An adjusting entry is made to increase the interest receivable account by $1,200, reflecting the amount of interest that has been earned on the outstanding notes receivable. By making these adjusting journal entries, the financial statements will accurately reflect the company's financial position and results by recognizing the appropriate expenses and revenues that have been incurred or earned but not yet recorded. This ensures that the financial statements provide a true and fair representation of the company's operations during the period.

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Answer:

Step-by-step explanation:

x + 4 > -2

   -4      -4

x > - 6

so any number larger then -6 satisfy the inequality.

It means integers: -5,-4,-3, -2, -1, 0, 1, 2 3, 4, and so on.

{-6 not because -6 is not >-6}

The expansion of (a+b)^15 is: a^15 + 15a^14b + 105a^13b^2 + 455a

To expand (a+b)^15 using the Binomial Theorem, we can use the formula:

(a + b)^n = C(n,0)a^nb^0 + C(n,1)*a^(n-1)*b^1 + C(n,2)*a^(n-2)*b^2 + ... + C(n,n-1)a^1b^(n-1) + C(n,n)a^0b^n

where C(n,k) represents the binomial coefficient "n choose k" which is equal to n!/(k!(n-k)!).

In this case, n = 15, so we have:

(a+b)^15 = C(15,0)a^15b^0 + C(15,1)a^14b^1 + C(15,2)a^13b^2 + ... + C(15,14)a^1b^14 + C(15,15)a^0b^15

We can evaluate each binomial coefficient using the formula above, or we can use Pascal's Triangle to obtain the coefficients:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

1 7 21 35 35 21 7 1

1 8 28 56 70 56 28 8 1

1 9 36 84 126 126 84 36 9 1

1 10 45 120 210 252 210 120 45 10 1

1 11 55 165 330 462 462 330 165 55 11 1

1 12 66 220 495 792 924 792 495 220 66 12 1

1 13 78 286 715 1287 1716 1716 1287 715 286 78 13 1

1 14 91 364 1001 2002 3003 3432 3003 2002 1001 364 91 14 1

1 15 105 455 1365 3003 5005 6435 6435 5005 3003 1365 455 105 15 1

Thus, we have:

(a+b)^15 = 1a^15b^0 + 15a^14b^1 + 105a^13b^2 + ... + 5005a^1b^14 + 32768a^0b^15

Simplifying, we get:

(a+b)^15 = a^15 + 15a^14b + 105a^13b^2 + 455a^12b^3 + 1365a^11b^4 + 3003a^10b^5 + 5005a^9b^6 + 6435a^8b^7 + 6435a^7b^8 + 5005a^6b^9 + 3003a^5b^10 + 1365a^4b^11 + 455a^3b^12 + 105a^2b^13 + 15ab^14 + b^15

Therefore, the expansion of (a+b)^15 is:

a^15 + 15a^14b + 105a^13b^2 + 455a

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The approximate number of customers (waiting and being served) at the carwash is 3.

To determine the number of customers (waiting and being served) at the carwash, we can use Little's Law, which states that the average number of customers in a system is equal to the average arrival rate multiplied by the average time spent in the system.

In this case, the average arrival rate is 9 customers per hour, and the average waiting time is given as 23 minutes (which is equivalent to 23/60 = 0.3833 hours).

Using Little's Law, we can calculate the average number of customers in the system:

Average number of customers = Average arrival rate * Average time spent in the system

Average number of customers = 9 customers/hour * 0.3833 hours

Average number of customers = 3.4497 customers

Since we can't have fractional customers, we round the value to the nearest whole number.

Therefore, the approximate number of customers (waiting and being served) at the carwash is 3.

It's important to note that this calculation assumes steady-state conditions and that the arrival and service distributions are not known.

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Answer:

if the number of the friends is x...

19.25+30.25x  ≤ 110

                    x ≤ 3

Answer: 120

Step-by-step explanation: divide 24 by 5 to get 4.8 so its 4.8 minutes for one question

25 x 4.8 = 120

a. log(y/4x) = log(y) - log(4x) = log(y) - log(4) - log(x)
b. log(4y/x) = log(4) + log(y) - log(x) the logarithms using the properties of logarithms.

a. log(y^4/x) =
Using the quotient rule (log(a/b) = log(a) - log(b)), we have:
log(y^4) - log(x)
Now, using the power rule (log(a^n) = n*log(a)):
4*log(y) - log(x)
b. log(4y/x)
Using the quotient rule again:
log(4y) - log(x)
Next, apply the product rule (log(ab) = log(a) + log(b)) to log(4y):
log(4) + log(y) - log(x)
Your expanded logarithms are:
a. 4*log(y) - log(x)
b. log(4) + log(y) - log(x)

Next, apply the product rule (log(ab) = log(a) + log(b)) to log(4y):
log(4) + log(y) - log(x)
Your expanded logarithms are:
a. 4*log(y) - log(x)
b. log(4) + log(y) - log(x)

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Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.

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(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The number of pounds for 3 people is given by:

\(3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}\)

Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:

\(\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}\)

24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:

one and three seventh pounds.

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Answer:

Step-by-step explanation:

the awnser is cerrot.

Answer:

Step-by-step explanation:

Ileana  have to invest for 8 years :

Simple interest is a simple and straightforward formula for figuring out how much interest will be charged on a loan. Simple interest is calculated by dividing the daily interest rate by the principle and the number of days between payments.

The principal amount must be multiplied by the time, interest rate, and time period in order to calculate simple interest. Simple Interest = Principal x Interest Rate x Time is the written formula.

Principal amount = $15,500

interest = $5,084

Time = ?

Rate = 4.1% simple interest

to find the simple interest :

                                         I = \(\frac{(p*t*r)}{100}\)

       Then:

         Time = \(\frac{I*100}{P*R}\)

                  = \(\frac{(5084*100)}{(15500*4.1)}\)

                  = \(\frac{508400}{63,550}\)

                  = 8 years

Ileana  have to invest for 8 years

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Answer:

B

Step-by-step explanation:

Remove the brackets

12x - 6  = 12x

Unfortunately when you subtract 12x, you get - 6 = 0

That is not true.

The equation really doesn't have any solutions (except perhaps infinity).

B

Based on the function properties, the linear equation that will pass through the origin is w = 10v

From the question, we have the following parameters that can be used in our computation:

w and v are integers

As a general rule;

A linear equation that passes through the origin has the form y = mx

Where m is the slope

Using the variables w and v, we have

w = mv

Set m = 10 or any integer value

So, we have

w = 10v

Hence, the equation of the linear function is w = 10v

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the answer is,   14666074545975

Answer:

5/12

Step-by-step explanation:

Answer:

Improper form: 17/12

Mixed number form: 1 5/12

Step-by-step explanation:

Turn the fractions into improper fractions. Once you do that you get 31/12 - 7/ 6. Next, you find a common denominator which is in this case 12. To get 7/6 denominator to 12, multiply the numerator and denominator by 2. Once this is done, you get 31/12 - 14/12. Subtract to get 17/12 aka 1 5/12.

The percentage of students expected to pass the course is 66.8%

The given data represents;

In a recent survey in a statistics class, it was determined that only 60% of the students attend class on Fridays. from past data, it was noted that 98% of those who went to class on Fridays passed the course, while only 20% of those who did not go to class on Fridays passed the course.

We need to find the percentage of students who are expected to pass the course.

Let 'A' be the event of passing,

     'B' be the event of attending on Fridays.

P (A I B) = 0.98 * P (A I B') = 0.2

P (B) = 0.6

Then, P (B') = 1 - 0.6

                  = 0.4

→ P (A ∩ B) = P (A I B) * P (B)

                 = 0.98 * 0.6

                 = 0.588

→ P (A ∩ B') = P (A I B') * P (B)

                  = 0.2 * 0.4

                  = 0.08

∴ P(A) = P (A ∩ B) + P (A ∩ B')

          = 0.588 + 0.08

          = 0.668

Hence, the percentage of students expected to pass the course is 66.8%

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Suppose that the correlation between educational level attained and yearly income is +0.68. This indicates that there is a positive and strong relationship between educational level and yearly income.

It means that as the level of education attained increases, the yearly income also tends to increase. However, it is important to note that correlation does not imply causation, and there could be other factors that contribute to the relationship between education and income.

Based on the provided correlation coefficient of +0.68 between educational level attained and yearly income, we know that there is a positive and moderately strong relationship between the two variables. As a person's education level increases, their yearly income is also likely to increase.

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Let the first page = x

The second page would be x + 1

Add them together to equal 347

X + x + 1 = 347

Combine like terms:

2x + 1 = 347

Subtract 1 from both sides

2x = 346

Divide both sides by 2:

X = 173

The smaller page number is 173

The larger page number is 174

Answer:

77.88

Step-by-step explanation:

just did the test!

The solution is 77.88°

The value of arc cos ( 0.21 ) is 77.88°

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the angle be represented as A

Now , the value of A is

A = arc cos ( 0.21 )

The value of arc cos ( 0.21 ) = 1.35922137 rad

The value of 1 rad = ( 180°/π ) degrees

So , 1.35922137 rad = 1.35922137 ( 180°/π ) degrees

On simplifying the equation , we get

The value of arc cos ( 0.21 ) = 77.8776478 degrees

Rounding to the nearest hundredth , we get

The value of arc cos ( 0.21 ) = 77.88 degrees

Hence , the measure of arc cos ( 0.21 ) is 77.88°

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Based on the information given, a possible value for g(5) will be (A) 10.

Given that g′ (x)>0 for all values of x, we know that g is an increasing function. This means that g(5) must be greater than g(4), which is equal to 7.

Given that g′ (x)<0 for all values of x, we know that g is a concave function. This means that the graph of g is always curving downwards. This means that the increase in g from x=4 to x=5 must be less than the increase in g from x=3 to x=4.

Therefore, we know that g(5) must be greater than 7, but less than g(4)+5=12. The only answer choice that satisfies both of these conditions is 10.

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Answer:

∛-27 or -3

Step-by-step explanation:

I don't think you can do anything further to this problem unless we have to solve for something.

If it is 3 square root of the whole thing, then the answer is -3 because

-3 x -3 x -3 = -27

-3 x -3 = negative x negative = positive = 9

9 x -3 = positive  x negative = negative = -27

Hope this helps!

Answer: A. The compromise allowed California to join the United States as a free state but would allowed slavery in the southwestern territories.

Step-by-step explanation:

As the abolitionist North and the pro-slavery South saw their rivalry intensify with the lobbying by the South that slavery should be allowed in the western territories, Congress decided to pass the compromise of 1850 which was several acts that would calm both sides for the time being.

With this compromise, California was allowed to join the United States as a free state but in return, the Southwestern territories were allowed to decide their slavery status in an election which meant that if the territories so pleased, they could allow slavery in their territories.