Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, –5).

Describe the steps for writing the equation of this cubic polynomial function.

The value of the 7th term of the geometric progression is 223.9488

Based on the information given,

First term = 75

Second term = 90

Common ratio = 90/75 = 1.2

The nth term of a geometric progression is calculated as:

\(a_n=ar^{r-1}\)

The 7th term will then be:

\(= 75 \times (1.2)^6\)

\(=75\times2.985984\)

\(=223.9488\)

Therefore, the value of the 7th term of the geometric progression is 223.9488.

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The null hypothesis would state that the population mean number of cups of coffee that women would drink 32% the population mean number cups of coffee than men drink.

The term "percentage" comes from the Latin phrase "per centum," which means "by the hundred." With 100 as the denominator, percentages are fractions. In other words, it is a relationship where the value of the entire is always assumed to be 100.

Percentage is a fraction or a ratio in which the value of whole is always 100. For example, if Sam received 30% on his math test, he received 30 points out of 100. It is expressed as 30/100 in fractional form and 30:100 in ratio form.

A certain number or quantity in every hundred is referred to as a percentage. It is a fraction, and the denominator is 100.

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The two triangles n = (75 + 3) / 5 = 18. The measure of angle q is 18 degrees.

1. First, find the value of n by using the equation 5(n - 3) = 75 + 3

2. Next, add 75 and 3 together and divide by 5. This gives us a value of 18 for n.

3. Finally, use the equation 5(n - 3) to determine the measure of angle q in triangle qrs. This equals 5(18 - 3) = 5(15) = 75 degrees.

The two triangles qrs and xyz are similar, meaning they have the same angle measures. In order to find the measure of angle q in triangle qrs, we must first find the value of n. The measure of angle x in triangle xyz is 75 degrees and the measure of angle q in triangle qrs is equal to 5(n - 3) degrees. We can use this equation to solve for the value of n. To do this, we add 75 and 3, then divide by 5. This gives us a value of 18 for n. Therefore, the measure of angle q in triangle qrs is 18 degrees.

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Answer: x=3 and y=4

Step-by-step explanation:

Rewrite equations:

x+3y=15;2x−2y=−2

Step: Solve x+3y=15 for x:

x+3y=15

x+3y+−3y=15+−3y(Add -3y to both sides)

x=−3y+15

Step: Substitute−3y+15 for x in 2x−2y=−2:

2x−2y=−2

2(−3y+15)−2y=−2

−8y+30=−2(Simplify both sides of the equation)

−8y+30+−30=−2+−30(Add -30 to both sides)

−8y=−32

−8y over −8 = −32 over −8

(Divide both sides by -8)

y=4

Step: Substitute 4 for y in x=−3y+15:

x=−3y+15

x=(−3)(4)+15

x=3(Simplify both sides of the equation)

To arrange the consumer's budget constraint into slope-intercept form, we express it as y = mx + b, where y is the budget, x is the quantity, m is the slope, and b is the vertical intercept.

The consumer's budget constraint can be represented as:

I = p1x1 + p2x2

Rearranging the equation, we can isolate the dependent variable on one side:

p2x2 = I - p1x1

Dividing both sides by p2:

x2 = (I/p2) - (p1/p2)x1

Now the equation is in slope-intercept form, where:

y = x2

m = -(p1/p2)

x = x1

b = (I/p2)

Therefore, the vertical intercept (b) equals (I/p2).

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The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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Answer:

line mo

Step-by-step explanation:

Because the triangle are congrument

RST and MNO are the triangle

RT is a line in the RST triqangle

it is equal to the MO line in MNO

Answer:

740 m

Step-by-step explanation:

Answer:

2. elevation above sea level Contour lines run next to each other.

The "quarterly seasonality without trend" model is used to forecast quarterly sales, and the quarter 4 forecast for year 11 using this model is 1167 1089 1001 999.

The exhibit 4 quarterly sales for three years are given as follows: QuarterYear 1Year 2Year 31 9231,1121,2432 1,0561,1561,3013 1,1241,1241,2544 9921,0781,198

Solution: Given, quarterly seasonality without trend model,Quarter 1Quarter 2Quarter 3Quarter 4Sales Year 1923 1056 1124 992Sales Year 21075 1156 1124 1078Sales Year 31162 1301 1254 1198

Calculating the mean sales of each quarter across the years,Quarter 1Quarter 2Quarter 3Quarter 4Mean Sales1118.33 1174 1207.33 1089.33

For forecasting the sales in the year 11, we have to use the mean sales of each quarter and forecast the sales for each quarter.

So the quarter 4 forecast for year 11 using the quarterly seasonality without trend model is:Quarter 1Quarter 2Quarter 3Quarter 41167 1174 1001 999  

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Answer:

2.35cm

Step-by-step explanation:

Given data

Volume= 124cm^3

Height= 7.1cm

The expression for the volume of a cylinder is given as

V= πr^2h

substitute

124=3.142*r^2*7.1

124=22.3082r^2

r^2= 124/22.3082

r^2= 5.55

r= √5.55

r=2.35cm

Hence the radius of the cylindrical bottle is 2.35cm

Answer:

8

Step-by-step explanation:

8j-5+j=67

8J+j

9J-5=67

  +5   +5

9J=72

/9   /9

j=8

If this helps please put brainliest

Consider the same figure as given above. It is observed that DP/PE = DQ/QF and also in the triangle DEF, the line PQ is parallel to the line EF.

So, ∠P = ∠E and ∠Q = ∠F.

Hence, we can write: DP/DE = DQ/DF= PQ/EF.

The above expression is written as

DP/DE = DQ/DF=BC/EF.

It means that PQ = BC.

Hence, the triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ.

Thus, by using the AAA criterion for similarity of the triangle, we can say that

∠A = ∠D, ∠B = ∠E and ∠C = ∠F.

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Answer:

356 boxes

Step-by-step explanation:

Just divide 4272 by 12

you do this because that is how many apples are needed in each box

Answer:

356

Step-by-step explanation:

Since this is a division problem we need to set it up. Since 4272 is the total number it will be on the top of the fraction.

4272/12

Then you solve just like any other division problem to get 356

Answer:

\(n(x)=x-2\)

Step-by-step explanation:

You can notice that between each of the arithmetic sequence there is a addition of 2. So we know that to add a 2 to get the next value. We can write it as n(x) where n is a function where x is the number:

Answer:

x=50º

Step-by-step explanation:

120=70+x

120-70=x

50=x

The number of days in which Meena would be able to complete the work alone is 24 days.

In order to determine the number of days in which Meena would be able to complete the work alone, we would have to assign variables to the amount of time taken by Mala, Meena, and Vinay, and then translate the word problem into an algebraic equation as follows;

Note: Combined work rate = 1/x + 1/y + 1/z

Based on the information provided, we have the following equations that models the work rate by each person;

1/(x + y) = 10 ⇒ 1/10 = x + y    ........equation 1.

1/(y + z) = 12 ⇒ 1/12 = y + z    ........equation 2.

1/(x + z) = 15 ⇒ 1/15 = x + z    ........equation 3.

x + y + y + z + x + z = 1/10 + 1/12 + 1/15

2(x + y + z) = 15/60

2(x + y + z) = 1/4

x + y + z = 1/8

From equation 2, we have:

x + (y + z) = 1/8

x + 1/12 = 1/8

x = 1/8 - 1/12

x = 1/24

x = 24 days.

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Answer:

Step-by-step explanation:

Noice....

6(2y+6)=4(9+3y)

divide both sides by 2

6(2y+6) / 2 = 4(9+3y) / 2

then after simplification

3(2y+6) = 2(9+3y)

6y + 18 = 18 + 6y

w t hell

it cant be solved

it can be but i think its misprinted

Answer:

\(x=12\)

Step-by-step explanation:

\(y = \frac{25}{6}x-34\)

Given that,

y = 16

Now put 16 instead of y to the equation.

\(16=\frac{25x}{6}-34\)

Now solve for x.

\(16=\frac{25x}{6} -34\)

\(16+34=\frac{25x}{6}\)

\(50=\frac{25x}{6}\)

Use cross multiplication

\(50*6=25x\)

\(300=25x\)

\(\frac{300}{25} =\frac{25x}{25}\)

\(12=x\)

Hope this helps you :-)

Let me know if you have any other questions :-)

Q6: Approximately 68.3% of the cherry tomatoes sold by Berkeley Bowl fall within the specified diameter limits of 20 mm to 32 mm.

Q7: To achieve half of the Six Sigma Quality, the standard deviation of the process should be approximately 0.22 mm for Berkeley Bowl's cherry tomatoes.

In Q6, we can use the concept of the normal distribution to determine the percentage of tomatoes within the specification limits. Since the average diameter is 26 mm and the standard deviation is 3 mm, we can assume a normal distribution and calculate the percentage of tomatoes within one standard deviation of the mean. This corresponds to approximately 68.3% of the tomatoes falling within the specified limits.

In Q7, achieving Six Sigma Quality means that the process has a very low defect rate. In this case, half of the Six Sigma Quality means reducing the variability in diameter to half the acceptable range.

The acceptable range is 32 mm - 20 mm = 12 mm. To achieve half the range, the standard deviation should be approximately half of 12 mm, which is 6 mm. Since the standard deviation is given as 3 mm, the process would need to be improved to reduce the standard deviation to approximately 0.22 mm for it to meet half of the Six Sigma Quality.

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The algorithm ensures that g is a generator, satisfying the necessary conditions.

To show that the algorithm produces a generator, we need to verify two conditions:

The algorithm selects a number, g, that is coprime to p-1.

The algorithm checks if g raised to the power of (p-1)/q is not congruent to 1 modulo p for each prime factor, q, of p-1.

Let's go through the steps of the algorithm to demonstrate these conditions:

Start with the prime factorization of p-1: p-1 = q1^a1 * q2^a2 * ... * qn^an, where q1, q2, ..., qn are distinct prime factors.

For each prime factor, q, calculate g = h^((p-1)/q) modulo p, where h is a randomly selected number between 2 and p-1.

Check if g is congruent to 1 modulo p. If it is, go back to step 2 and select a different h.

Repeat steps 2 and 3 until g is not congruent to 1 modulo p for each prime factor, q.

Now let's analyze these conditions:

By raising h to the power of (p-1)/q for each prime factor, the resulting g is guaranteed to be coprime to p-1. This is because g is not divisible by any prime factor of p-1.

For each prime factor, q, g^(p-1)/q is not congruent to 1 modulo p. This is because g^(p-1)/q is congruent to h^((p-1)/q * (p-1)/q) modulo p, and since h^((p-1)/q) is coprime to p, raising it to the power of (p-1)/q * (p-1)/q will not result in 1 modulo p.

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Answer:

8 did not get an A

Step-by-step explanation:

75%  obtained an A , then

25% did not obtain an A

25% of 32

= \(\frac{25}{100}\) × 32

= 0.25 × 32

= 8

Answer:

Where's the question?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

1/4 is 3/4 away from being 4/4 = 1.

Answer: 1/4

Step-by-step explanation:

since all of the answer choices have 1 as the numerator, the greater the denominator, the lesser value it has.

❀ \(\huge\underline{ \underline{Solution :-}}\)

\(( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} )\)

To solve, use the algebraic identity ➺

\(( {y}^{2} + \frac{5}{7} )( {y}^{2} - \frac{14}{5} ) \\ = ({y}^{2}) ^{2} + ( \frac{5}{7} + - \frac{14}{5} ) {y}^{2} + \frac{5}{7} \times - \frac{14}{5} \\ = {y}^{4} - \frac{73}{35} {y}^{2} - 2\)

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

Answer:

Step-by-step explanation:

plug in 1.25  into the equation

-16*\(1.25^{2}\) +40*1.25 +7

32 feet up  , is it's max height

Arithmetic expressions can be used as control expressions in programming languages when a control structure, such as an if statement or a loop, expects a condition to determine the flow of execution

Arithmetic expressions can be used as control expressions in certain programming languages or contexts where a control structure expects a conditional expression to determine the flow of execution.

Typically, control expressions are used in decision-making structures such as if statements, while loops, for loops, and switch statements.

In most programming languages, the control expression must evaluate to a boolean value (true or false) in order to determine the execution path. However, some languages allow arithmetic expressions to be used in control structures, considering a value of zero as false and any non-zero value as true.

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The number of the small seats is 30 while the number of the big seats is 94.

We know that from the question, Vicky is an airline attendant. Last week, she worked on flights on 3 small jets and 5 large jets, which could seat a total of 560 passengers. The week before, she was assigned to flights on 5 small jets and 2 large jets, which could seat a total of 338 passengers.

Now;

Let the number of small seats be x and the number of large seats be y

It follows that;

3x + 5y = 560 ----- (1)

5x + 2y = 338 ------(2)

If you multiply (1) by 5 and (2) by 3 we have;

15x + 25y = 2800 ------ (3)

15x + 6y = 1014 -----------(4)

        19 y = 1786

y = 1786/19

= 94

Substitute y = 94 into (1)

3x + 5(94) = 560

x = 560 -  5(94)/3

x = 30

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Step-by-step explanation:

IN ΔAMN ΔABC

Since MN∣∣BC

∠AMN=∠ABC (Corresponding angles)

∠ANM=∠ACB (Corresponding angles)

∴ΔAMN∼ΔABC(By $$AA similarity criterion)

⇒

AB

AM

=

AC

AN

=

BC

MN

(CPST)

Since, M is mid-point of AB,

AM=

2

1

AB,or,

AB

AM

=

2

1

or,

AB

AM

=

AC

AN

=

2

1

AC

AN

=

2

1

5

AN

=

2

1

[∵AC=5cm]

AN=

2

5

cm=2.5cm

Also,

AB

AM

=

BC

MN

=

2

1

7

MN

=

2

1

[∵BC=7cm]

MN=

2

7

=3.5

Ans=AN=2.5cm and MN=3.5cm

solution

Answer: (B)

Step-by-step explanation:

We can see that the rise is 1 because the y value increases by 1 for every increase of the x value.

Using a similar strategy, we can see that the x value increases by 1 for every increase in the y value.
Therefore the run is 1

(B)