consider the quadratic inequality x squared minus 7 x plus 6 less or equal than 0. what is the solution set for this inequality?

Answer:

4.625

Step-by-step explanation:

5/8 = 0.625

To find 5/8, simply divide it.

So 4 and 5/8

= 4.625

AnswER:   MULTIPLYYY

Step-by-step explanation:

Answer:

x = 107

Step-by-step explanation:

44+29+107=180

a triangle equals 180 with all the degrees added together :)

Answer:

2x(2x-1)

Step-by-step explanation:

\(4 {x}^{2} - 2x \\ \\ = 2x(2x - 1) \\ \)

Answer:

no idea what to find would you please like to explain about this question

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance is 10.76.

The critical value can be determined using a statistical table.

The degrees of freedom for the blocks is 4 (df_b = 5 - 1 = 4) and for the treatments is 2 (df_t = 3 - 1 = 2).

The critical value for a 5% level of significance is 10.76.

This value can be found in the statistical table given in the textbook.

The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance can be calculated by using the F-test statistic.

The F-test is used to compare the variance between the blocks (SSBL) and the variance between the groups (SSB).

The F statistic is calculated by dividing the variance between the blocks (SSBL) by the variance between the groups (SSB).

In this case,

The F statistic is 3738/1048.93 = 3.56.

The critical value for a 5% level of significance can be found using a statistical table.

According to the table,

The critical value for an F statistic of 3.56 with four degrees of freedom in the numerator and four degrees of freedom in the denominator is 10.76

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The probability that they run or bike for exercise is 0.91

The probability that a randomly selected executive runs or bikes for exercise can be calculated by adding the probability of running and biking for exercise, subtracting the probability of running and biking for exercise simultaneously (which would be double counted).

This can be expressed mathematically as:

A recent poll of 300 executives revealed how they exercise.

95 reported running, 127 reported biking and 49 reported that they both bike and run for exercise.

If one of these executives is randomly selected, the probability that they run or bike for exercise is 0.91.

This can be calculated by adding the probability of running and biking for exercise, subtracting the probability of running and biking for exercise simultaneously (which would be double counted).

This shows that the majority of executives prefer to exercise by running or biking.

P(Run or Bike for exercise) = P(Run) + P(Bike) - P(Run and Bike)

Plugging in our given values, we get:

P(Run or Bike for exercise) = P(Run) + P(Bike) - P(Run and Bike)

P(Run or Bike for exercise) = 95/300 + 127/300 - 49/300

P(Run or Bike for exercise) = 0.91

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The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

2% sjjdjdjjdjjdjdjdjjrjir

Answer:

the first one's answer is y > x

the first second one's answer is y < 6.5x i believe, sorry if im wrong

Step-by-step explanation:

The student officers bought 5 packs of balloons and 7 packs of streamers for the school dance, spending a total of $31.50 on 12 packs of decorations.



Let's assume the number of packs of balloons as 'x' and the number of packs of streamers as 'y'. Since we know that packs of balloons cost $3.50 and packs of streamers cost $2, we can form the following equations:

3.50x + 2y = 31.50   (equation 1)

x + y = 12           (equation 2)

To solve the equations, we can multiply equation 2 by 2 to eliminate 'y'. So, we have:

2x + 2y = 24        (equation 3)

Now, subtract equation 3 from equation 1:

(3.50x + 2y) - (2x + 2y) = 31.50 - 24

1.50x = 7.50

Divide both sides by 1.50:

x = 5

Substituting the value of x into equation 2, we can find y:

5 + y = 12

y = 7

Therefore, the student officers bought 5 packs of balloons and 7 packs of streamers.

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Purchasing power after turning 65 if you:

a) Hide your money under a mattress=  $240,000

b) Place in a savings account paying a real return of 1% = $386,101.86

c) Invest in a 30 -year Ireasury Bond (TIPS) offering a 2% real return= $513,349.92

d) Invest in the S\&P 500 - average nominal return of 12% = $13,753,436.16.

Given that,

  the amount of money that a person saves every month is $500 for 40 years, i.e., from age 25 to age 65.

The total savings that this person will have will be:

  $500 * 12 * 40 = $240,000

To determine the purchasing power of the individual at age 65, we need to determine the value of the savings in the four different scenarios presented in the question.

Scenario 1: If the money is hidden under the mattress.

   The real rate of return is zero (0%) as there is no interest earned. Therefore, the purchasing power will be the same as the face value of the savings account. Therefore,

purchasing power = $240,000

Scenario 2: If the money is saved in a savings account paying a real return of 1%

Nominal rate of return = Real rate of return + Inflation rate= 1% + 2% = 3%

The future value of $240,000 in 40 years at 3% per annum can be calculated using the formula:

FV = PV x (1 + r)n where,

PV = present value = $240,000

r = nominal rate of return per annum = 3%

n = number of years = 40

     Using these values, the future value (FV) can be calculated as:

   FV = $240,000 x (1 + 0.03)40= $793,186.98

The purchasing power of $793,186.98 after accounting for 2% inflation will be:

Purchasing power = 793,186.98 / (1 + 0.02)40= $386,101.86

Therefore, the purchasing power of savings kept in a savings account that pays a real return of 1% will be $386,101.86

Scenario 3: If the money is invested in a 30-year Treasury Inflation-Protected Security (TIPS) offering a 2% real return

Nominal rate of return = Real rate of return + Inflation rate= 2% + 2% = 4%

The future value of $240,000 in 40 years at 4% per annum can be calculated using the formula:

FV = PV x (1 + r) n       where,

PV = present value = $240,000

r = nominal rate of return per annum = 4%

n = number of years = 40

    Using these values, the future value (FV) can be calculated as:

FV = $240,000 x (1 + 0.04)40= $1,055,678.72

The purchasing power of $1,055,678.72 after accounting for 2% inflation will be:

Purchasing power = 1,055,678.72 / (1 + 0.02)40= $513,349.92

Therefore, the purchasing power of savings invested in a 30-year TIPS offering a 2% real return will be $513,349.92

Scenario 4: If the money is invested in the S&P 500 with an average nominal return of 12%

The nominal rate of return is 12%.

Therefore, the future value of the savings can be calculated using the formula:

FV = PV x (1 + r)n  where,

PV = present value = $240,000

r = nominal rate of return per annum = 12%

n = number of years = 40

   Using these values, the future value (FV) can be calculated as:

FV = $240,000 x (1 + 0.12)40= $28,312,123.62

The purchasing power of $28,312,123.62 after accounting for 2% inflation will be:

Purchasing power = 28,312,123.62 / (1 + 0.02)40= $13,753,436.16

Therefore, the purchasing power of savings invested in the S&P 500 with an average nominal return of 12% will be $13,753,436.16.

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The factors influencing sample size include the desired level of confidence, the higher desired level of confidence, the variability of the population, the size of the effect being measured, and the level of precision desired.

The desired level of confidence determines the sample size needed to achieve the desired level of confidence. The higher the desired level of confidence, the larger the sample size needs to be. The variability of the population is also a factor that influences sample size.

If the population is highly variable, a larger sample size is needed to achieve the desired level of confidence. the size of the effect being measured also affects sample size.if the effect is small, a larger sample size is needed to measure it accurately. Finally, the level of precision desired also affects the sample size.

The higher the level of precision desired, the larger the sample size needs to be. When drawing a sample to make sure the measure of interest is neither overestimated nor underestimated, all of the mentioned factors need to be taken into consideration. The sample size should be large enough to accurately measure the effect, given the desired level of confidence and the level of precision desired.

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Answer:

9

Step-by-step explanation:

16+9=25+9=34...

Answer:

9-16y

Step-by-step explanation:

9-x^2y when x=4

plus in 4: 9- (4)^2y

=9-16y

Answer:

I believe the answer is 7 and a half days

Step-by-step explanation:

15* \(\frac{1}{2}\)= 7.5

If you take the 15 and multiply it by the \(\frac{1}{2}\) you will get 7.5. Even if you divide the 15 by

Apologies if this is wrong. But I think this is the answer.

Hope I could help :)

Answer:

30 days

Step-by-step explanation:

1 day : ½

x days : 15

x/15 = 1/½

x/15 = 2

x = 30

The one possible data set that meets the given criteria is 3, 3, 4, 7, 9, 10.

The value N in statistics represents the number of values in a data set. Thus, in the context of the given problem, N = 6 refers to the number of values in the data set that needs to be constructed.

The other given statistics in the problem are H = 8 and 0 = 3. However, it is not clear what exactly these values represent. We can assume that H is the highest value in the data set and 0 is the lowest value, in which case the range of the data set would be R = H - 0 = 8 - 3 = 5. But without more information, we cannot be sure about this.

Therefore, we construct a data set with N = 6 and values that satisfy the given statistics. Here's one possible data set that meets the given criteria: 3, 3, 4, 7, 9, 10.

Note that the values range from 3 to 10, so the range of this data set is R = 10 - 3 = 7, not 5. This shows that we cannot assume the given values to represent the range of the data set.

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Construct a data set that has the given statistics. N = 6 H = 8 0 = 3 What does the value N mean? OA. The mean of the population data. OB. The range of the population data.. OC. The number of values in the population data set. OD. The difference between all the values in the population data set. www

Answer:

It is A

Step-by-step explanation:

You have 4 muffins or 4m with a 2 dollar off coupon so therefore it is 4m-2

Answer:

4m-2

Step-by-step explanation:

The cost, m, is subtracted by 2. There are 4 muffins being bought, so the term would be 4m, making the equation 4m-2.

The asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\) is f(n) ∈ Θ(g(n)). Therefore, the growth rates of f(n) and g(n) are primarily determined by the cubic terms, and they grow at the same rate within a constant factor.

To determine the asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\), we need to compare their growth rates as n approaches infinity.

Θ (Theta) Notation: f(n) ∈ Θ(g(n)) means that f(n) grows at the same rate as g(n) within a constant factor. In other words, there exists positive constants c1 and c2 such that c1 * g(n) ≤ f(n) ≤ c2 * g(n) for sufficiently large n.

o (Little-o) Notation: f(n) ∈ o(g(n)) means that f(n) grows strictly slower than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) < c * g(n) for all n > n0.

ω (Omega) Notation: f(n) ∈ ω(g(n)) means that f(n) grows strictly faster than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) > c * g(n) for all n > n0.

Now let's analyze the given functions:

\(f(n) = n^3 (8 + 2 cos 2n)\\g(n) = n^2 + 2n^3 + 3n\)

Since both functions have the same dominant term, we can say that f(n) ∈ Θ(g(n)) because they grow at the same rate within a constant factor. The other notations, o and ω, are not applicable here because neither function grows strictly faster nor slower than the other.

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Answer:

\(0.82B\)

or

\(B-0.18B\)

Step-by-step explanation:

When the price has been reduced by 18%, you can either say that the price is 82% of the original price (100-18), or that you've subtracted 18% of the original price from the original price.

Option A. 82% of the original price

Reduction: \(18\%\)

% of original price: \(100\% - 18\% = 82\% = 0.82\)

Since the original price is B, the on-sale price can be expressed as:

\(0.82 * B = 0.82B\)

Option B. Subtracting 18%:

Reduction: 18% of B = \(0.18 * B\)

Original price is B.

Original price minus the reduction:

\(B - 0.18 * B\)

Answer:

what the Dino said

Step-by-step explanation:

Answer:

28/10

Step-by-step explanation:

To find out scale factor, you need to divide both sides which means

7/2.5 is 2.8 and if we turn that into a fraction we get 28/10

Let's start by setting up an equation to represent the problem.

Let's say Jake started with x amount of money.

After giving 1/3 to his wife, he has 2/3 left: (2/3)x

After giving 1/4 of that amount to his mother, he has $600 left: (1/4)(2/3)x = $600

We can solve for x by isolating it:

(1/4)(2/3)x = $600

Multiplying both sides by 12/2 gives:

(2/3)x = $3600

Dividing both sides by 2/3 gives:

x = $5400

So Jake started with $5400.

To find out how much he gave to his mother, we can take 1/4 of 2/3 of $5400:

(1/4)(2/3)($5400) = $900

So he gave his mother $900.

Step-by-step explanation:

x = original amount of money

the problem description tells us he gives 1/3 of his money to his wife and 1/4 of his money to his mother. and then he had still $600 left.

x - (1/3)x - (1/4)x = 600

so let's bring every fractional term to .../12.

12x/12 - (4/4)×(1/3)x - (3/3)×(1/4)x = 600

12x/12 - 4x/12 - 3x/12 = 600

5x/12 = 600

5x = 600×12

x = 600×12/5 = 120×12 = $1440

he gave to his mother

(1/4) × 1440 = $360

The THEORETICAL probability of choosing a vowel is 3/8 and the experimental probability is 36/75

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

In the letters of the word, we have

Vowels = 3

Letters = 8

By calculation, the theoretical probability of choosing a vowel is

Theoretical probability = Vowels/Letters

So, we have

Theoretical probability = 3/8

Based on the experiment, we have

Vowels = 15+9+12 = 36

Letters = 8+15+7+5+20+20 = 75

So, we have

Experimental probability = 36/75

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Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Given:

A rectangular greeting card uses a geometric design containing 4 congruent kites.

Consider the below figure attached with this question.

Length of card = 8 inches

Width of card = 4 inches

To find:

The area of one kite.

Solution:

The kites are connected to each other as shown below.

The length of a kite is:

\(\dfrac{8}{2}=4\) inches

The width of a kite is:

\(\dfrac{4}{2}=2\) inches

Area of a kite is:

\(A=\dfrac{1}{2}d_1d_2\)

Where, \(d_1,d_2\) are diagonals of the kite.

Length and width of a kite are 4 inches and 2 inches respectively. So, the diagonals of a kite are 4 inches and 2 inches.

Using the above formula, we get

\(A=\dfrac{1}{2}(4)(2)\)

\(A=4\)

The area of a kite is 4 sq. in.

Therefore, the correct option is A.

Answer:

4 sq in or A

Step-by-step explanation:

Answer:

4320.43

Step-by-step explanation:

You need to figure out the Pythagorean Theorem and then use that answer to find the area. You will then get 4320.43.

Hope this helps.

Answer:

4320.43

Step-by-step explanation:

Given:

The figure of a triangle.

To find:

The measure of angle 1.

Solution:

Exterior angle theorem: In a triangle, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.

Using Exterior angle theorem, we get

\(101^\circ =31^\circ +m\angle 1\)

\(101^\circ -31^\circ =m\angle 1\)

\(70^\circ =m\angle 1\)

Therefore, the measure of angle 1 is 70 degrees.