Evaluate.
Remember Order of Operations!
(PEMDAS)
(-7+3²) × 8

The percent of the increase, rounded to the nearest tenth of a percent, concerning the sales of boxes of cookies that Molly sold last month and this month, is 11.5%.

The percentage increase can be determined by finding the difference or the amount of increase in sales.

This difference is divided by the previous month's sales and multiplied by 100.

The total number of boxes of cookies Molly's Scout Troop sold last month = 148

The total number sold this month = 165

The increase = 17 (165 - 148)

Percentage increase = 11.5% (17 ÷ 148 x 100)

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Answer:

\(SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2 \)  

\(SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2 =6750\)  

\(SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2 =8000\)  

And we have this property  

\(SST=SS_{between}+SS_{within}=6750+8000=14750\)  

The degrees of freedom for the numerator on this case is given by \(df_{num}=k-1=4-1=3\) where k =4 represent the number of groups.  

The degrees of freedom for the denominator on this case is given by \(df_{den}=df_{between}=N-K=20-4=16\).  

And the total degrees of freedom would be \(df=N-1=20 -1 =19\)  

We can find the \(MSTR=\frac{6750}{3}=2250\)

And \(MSE=\frac{8000}{16}=500\)

And the best answer would be:

d. 2,250

Step-by-step explanation:

We want to test the following null hypothesis:

\(  H0: \mu_1 =\mu_2 =\mu_3 =\mu_4\)

If we assume that we have \(4\) groups and on each group from \(j=1,\dots,k\) we have \(k\) individuals on each group we can define the following formulas of variation:  

\(SS_{total}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x)^2 \)  

\(SS_{between=Treatment}=SS_{model}=\sum_{j=1}^p n_j (\bar x_{j}-\bar x)^2 =6750\)  

\(SS_{within}=SS_{error}=\sum_{j=1}^p \sum_{i=1}^{n_j} (x_{ij}-\bar x_j)^2 =8000\)  

And we have this property  

\(SST=SS_{between}+SS_{within}=6750+8000=14750\)  

The degrees of freedom for the numerator on this case is given by \(df_{num}=k-1=4-1=3\) where k =4 represent the number of groups.  

The degrees of freedom for the denominator on this case is given by \(df_{den}=df_{between}=N-K=20-4=16\).  

And the total degrees of freedom would be \(df=N-1=20 -1 =19\)  

We can find the \(MSTR=\frac{6750}{3}=2250\)

And \(MSE=\frac{8000}{16}=500\)

And the best answer would be:

d. 2,250

The answer is:

Answer:

96 ft^2

Step-by-step explanation:

volume=l^3

l=4

4x4x4=64

Surface area (4x4)=16

16x6=96

Answer:

SA =96 ft^2

Step-by-step explanation:

The volume of a cube is given by

V = s^3

64 = s^3

Take the cube root of each side

64 ^ 1/3 = s^3 ^ 1/3

4 =s

The side length si 4

The surface area of a cube is

SA = 6 s^2

SA = 6 * 4^2

SA = 6 * 16

SA =96 ft^2

Answer:

Step-by-step explanation:

sp = 504

gain = 12%

in this case

sp =100%+12%=504

112%=504

1%=504/112 =4.5

100%=450

so cost =$450

Hope im correct, if i am im glad to be of service.

The amount Stefan spent originally to buy the bike is; $100.91.

The amount Stefan made in profit by selling the bicycle and helmet to Jin is; $10.09.

According to the task content;

Stefan sold the bicycle and helmet for a total of;

104 + 17 = $111.

Also, since the total cost ($111) for Jin is 110% of what Stefan spent to buy the bicycle and helmet, x originally; we have

110% × x = 111

x = (111 × 100) / 110

x = $100.91.

Therefore, Stefan spent $100.91 originally to buy the bike and helmet.

Consequently, the money Stefan made by selling the bicycle and helmet to Jin is; 111 - 100.91 = $10.09.

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The length of PQ is 3√5 and its slope is -2

The length of SR is 3√5 and its slope is -2

The length of SP is 5√2 and its slope is -7

The length of RQ is 5√2 and its slope is -1

So PQ ≅ SR and SP ≅ RQ. By the Perpendicular Bisector theorem, adjacent sides are perpendicular. By the selection of  side, ∠PSR, ∠SRQ, ∠RQP and ∠QPS are right angles. So, the quadrilateral is a rectangle.

To find the lengths and slopes of the sides of the quadrilateral PQRS, we apply the distance formula:

D = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)  

and the slope formula:

m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

1. Length PQ:

Using the distance formula, the length PQ can be calculated as follows:

PQ = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

  = √((3 - 0)² + (-4 - 2)²)

  = √(3² + (-6)²)

  = √(9 + 36)

  = √45

  = 3√5

2. Length SR:

Using the distance formula, the length SR can be calculated as follows:

SR = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

  = √((1 - (-2))² + (-5 - 1)²)

  = √((1 + 2)² + (-6)²)

  = √(3² + 36)

  = √(9 + 36)

  = √45

  = 3√5

3. Length SP:

Using the distance formula, the length SP can be calculated as follows:

SP = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

  = √((1 - 0)² + (-5 - 2)²)

  = √(1² + (-7)²)

  = √(1 + 49)

  = √50

  = 5√2

4. Length RQ:

Using the distance formula, the length RQ can be calculated as follows:

RQ = \(\sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

  = √((-2 - 3)² + (1 - (-4))²)

  = √((-2 - 3)² + (1 + 4)²)

  = √((-5)² + 5²)

  = √(25 + 25)

  = √50

  = 5√2

Now, let's calculate the slopes of the sides:

1. Slope PQ:

The slope of PQ can be calculated using the slope formula:

m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

  = (-4 - 2) / (3 - 0)

  = -6 / 3

  = -2

2. Slope SR:

The slope of SR can be calculated using the slope formula:

m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

  = (-5 - 1) / (1 - (-2))

  = -6 / 3

  = -2

3. Slope SP:

The slope of SP can be calculated using the slope formula:

m =\(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

  = (-5 - 2) / (1 - 0)

  = -7 / 1

  = -7

4. Slope RQ:

The slope of RQ can be calculated using the slope formula:

m = \(\frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

  = (1 - (-4)) / (-2 - 3)

  = 5 / (-5)

  = -1

Therefore, the lengths and slopes of the sides of the quadrilateral PQRS are:

Length PQ: 3√5

Length SR: 3√5

Length SP: 5√2

Length RQ: 5√2

Slope PQ: -2

Slope SR: -2

Slope SP: -7

Slope RQ: -1

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The solution to the system of equations y = 1/8x −1 and −5x + 4y = −13 is (2, −3/4). Option D is correct.

We are given:

y = 1/8 x − 1                 ..............equation i.

− 5x + 4y = − 13          ..............equation ii.

We will use the substitution method to solve the given equation.

substitute the value of y from equation i in equation ii, and we will get;

− 5x + 4(1/8 x − 1) = − 13

− 5x + 1/2 x − 4 = − 13

(-10 + 1) / 2 x = -13 + 4

-9/2 x = -9

x = -9 * 2 / -9

x = 2

Put the value of x in equation i, we will get;

y = 1/8 *2 − 1

y = 1/4 - 1

y = 1 - 4 / 4

y = -3 / 4

So, the value of x = 2 and the value of y = -3 / 4.

Thus, the solution to the system of equations y = 1/8x −1 and −5x + 4y = −13 is (2, −3/4). Option D is correct.

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Answer:A school bus provides a safe way of transportation for your child. Learn resources to talk to your child about school bus and bus stop safety.

Step-by-step explanation:

Answer:

(1, 7)

Step-by-step explanation:

The number is n.

7 more than 3 times his

number is at least 10 and at most 28.

Thus;

10 ≤ 3n + 7 ≤ 28

Let's solve individually;

10 ≤ 3n + 7

10 - 7 ≤ 3n

n ≥ 3/3

n ≥ 1

Also,

3n + 7 ≤ 28

3n ≤ 28 - 7

3n ≤ 21

n ≤ 21/3

n ≤ 7

Thus, since n cannot be more than 7 or less than 1, it means in interval Notation, the answer is;

(1, 7)

Therefore, the quadratic polynomial with sum of zeroes 2/3 and product of zeroes 1/3 is:

3x² - 3x + 1

What is quadratic equation?

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax² + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).

Let the quadratic polynomial be of the form ax² + bx + c.

We know that the sum of the zeroes is given by -b/a, and the product of the zeroes is given by c/a.

We are given that the sum of the zeroes is 2/3 and the product of the zeroes is 1/3.

So, we have the following system of equations:

-2b/3a = 2/3 (since the sum of zeroes is 2/3)

c/a = 1/3 (since the product of zeroes is 1/3)

Simplifying the first equation, we get:

b/a = -1

Substituting this in the second equation, we get:

c/a = 1/3

Multiplying both sides by a, we get:

c = a/3

So, we can choose any value for a, and then compute b and c accordingly.

Let's choose a = 3 for simplicity. Then, we have:

c = a/3 = 1

b/a = -1, so b = -3

Therefore, the quadratic polynomial with sum of zeroes 2/3 and product of zeroes 1/3 is:

3x² - 3x + 1

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Therefore, the correct statement is:" D corresponds to E." that is option B.

A rectangle is a four-sided flat shape with four right angles (90-degree angles) between its sides. It is a type of parallelogram that has two pairs of opposite sides that are parallel and congruent (equal in length), and all four angles are right angles. In a rectangle, the opposite sides are equal in length, which means that the width (or height) of the rectangle is the same throughout. The length of a rectangle is the longer side, while the width (or height) is the shorter side. The perimeter of a rectangle is the sum of the lengths of all its sides, while the area is the product of its length and width. These formulas are often used to calculate the dimensions of a rectangle or to solve problems related to its area or perimeter. Rectangles are used in many applications such as architecture, engineering, mathematics, and art, and they are commonly found in everyday objects such as books, windows, doors, and computer screens.

Here,

In a translation, every point on the preimage (the original figure) moves the same distance and in the same direction to become a point on the image (the translated figure).

To determine which statement is true, we can look at the corresponding vertices of the rectangle ABCD and its image EFGH.

A corresponds to E, B corresponds to F, C corresponds to G, and D corresponds to H.

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The surface area of a rectangular prism is given by:

A = 2 * (x * y) + 2 * (x * z) + 2 * (y * z)

where,

x, y, z: are the sides of the rectangular prism

Substituting values we have:

A = 2 * (2 * 8) + 2 * (2 * 11) + 2 * (8 * 11)

A = 252 in ^ 2

Answer:

The surface area of the prism in square inches is:

252 square inches

Answer:

252 square inches

Step-by-step explanation:

The surface area of a rectangular prism is given by:

A = 2 * (x * y) + 2 * (x * z) + 2 * (y * z)

where,

x, y, z: are the sides of the rectangular prism

Substituting values we have:

A = 2 * (2 * 8) + 2 * (2 * 11) + 2 * (8 * 11)

A = 252 in ^ 2

Answer is 252 square inches

Answer:

x = 3

Step-by-step explanation:

Recall: Opposite angles in an inscribed quadrilateral are supplementary.

Thus,

m<R = 180 - m<P

m<R = 180 - 110

m<R = 70°

Recall: measure of inscribed angle = half of the intercepted arc

Thus:

m<R = ½(arc KPQ)

70 = ½(50 + 30x)

Multiply both sides by 2

2*70 = 50 + 30x

140 = 50 + 30x

140 - 50 = 50 + 30x - 50

90 = 30x

90/30 = 30x/30

3 = x

x = 3

Answer:

The correct answer is 3,5

Step-by-step explanation:

What is a Rhombus ?

a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.

Alright cool

Wait what is a acute and obtuse angle.

Acute : An acute angle is an angle that measures between 90° and 0°

Oh its just small.

Obtuse : an obtuse angle is an angle that is greater than 90° and less than 180°.

And obtuse is big.

So if we use our 3,5 point we can make this diamond looking thing.

The 3,5 point is basically just a mirror image of the point A by the way it makes the shape symmetrical on the x axis which is what we want for a rhombus.

So if we were to draw this diamond. (I am a professional artist luckily // check the bottom of the page.)

We have 2 equal (ish) acute angles and two equal (ish) obtuse angles. And we know this b is symmetrical we went up from the middle 2 units just like the A point is down 2 units. So it all is even.

This is a rhombus.

Thank you

The equation for the total cost of all adult tickets (a) and student tickets (s).

4a + 2.5s = 2,820  

a + s = 900

The number of adults ticket and student tickets is 380 and 520.

We have,

Adults ticket cost = $4

Student ticket cost = $2.5

Now,

Total amount earned = $2,820

The equation for the total cost of all adult tickets (a) and student tickets (s).

4a + 2.5s = 2,820   ______(1)

And,

The number of tickets sold = 900.

We can write as equation as:

a + s = 900 ______(2)

Now,

We have two equations.

4a + 2.5s = 2820

a + s = 900

Solving for s.

s = 900 - a

Substituting in (1)

4a + 2.5(900 - a) = 2820

Simplifying and solving for a.

4a + 2250 - 2.5a = 2820

1.5a = 570

a = 380

Now,

a + s = 900

380 + s = 900

s = 520

Therefore,

The number of adults ticket and student tickets is 380 and 520.

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answer:

4

9

0

Step-by-step explanation:

a) 4

b) 9 - 0 = 9

c) 7

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

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Answer: i think 4.81

Step-by-step explanation:

Answer:

i dont know the answer sorry

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because a statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.

Ramesh will bear a total medical expense of RM1,760, and the insurance company will cover RM2,900.

1. Ramesh's deductible is RM1,500 per year. This means that he is responsible for paying the first RM1,500 of medical expenses before the insurance coverage kicks in.

2. For the first treatment, the medical cost was RM700. Since this amount is less than the deductible, Ramesh will have to pay the entire RM700 out of pocket.

3. For the second treatment, the medical cost was RM2,000. Since Ramesh has already met his deductible with the first treatment, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the remaining RM500 (RM2,000 - RM1,500), which amounts to RM100. The insurance company will cover the remaining 80% of RM500, which amounts to RM400.

4. For the third treatment, the medical cost was RM1,700. Again, since Ramesh has already met his deductible, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the entire cost, which amounts to RM340 (20% of RM1,700). The insurance company will cover the remaining 80% of RM1,700, which amounts to RM1,360.

5. To calculate the total medical expenses borne by Ramesh, we add up the amounts he is responsible for in each treatment: RM700 + RM100 + RM340 = RM1,140.

6. The total medical expenses covered by the insurance company can be calculated by adding up the amounts they pay in each treatment: RM400 + RM1,360 = RM1,760.

7. Finally, to find the overall amount borne by Ramesh and the insurance company, we sum up the individual expenses: Ramesh's expenses + insurance company's expenses = RM1,140 + RM1,760 = RM2,900.

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The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.

The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.

The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38

The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47

The probability that you select a Jack given that it is a Club P(Jack|Club):

There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.

So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)

P(Jack|Club) = 1 / 13

The probability that you select a Club given that it is a Jack

P(Club|Jack):

P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes

P(Club|Jack) = 1 / 4

The probability that you select a card that is not a Jack given that it is not a Club

P(NotJack|NotClub):

The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).

P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes

P(NotJack|NotClub) = (48 - 1) / (39 - 1)

=47/38

P(NotClub|NotJack) = (39 - 1) / (48 - 1)

=38/47

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Just put -2 in,where X is and get your answer that way

The probability that the cars selected consist of 2 midsized cars and 4 compact cars is approximately 0.2723 or 27.23%.

What is Probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. The probability of an event can also be expressed as a percentage between 0% and 100%.

We can use the formula for combinations:

nCk = n! / (k! * (n-k)!)

where n is the total number of objects, k is the number of objects being selected, and ! represents the factorial function.

In this case, there are 11 midsized cars and 12 compact cars, so n = 23. We want to select 6 cars consisting of 2 midsized cars and 4 compact cars, so k1 = 2 and k2 = 4.

The probability of selecting exactly 2 midsized cars and 4 compact cars is equal to the number of ways to select 2 midsized cars from 11 multiplied by the number of ways to select 4 compact cars from 12, divided by the total number of ways to select 6 cars from 23:

P(2M, 4C) = (11C2 * 12C4) / 23C6

where nCk represents the number of combinations of k objects from a set of n objects.

Evaluating this expression gives:

P(2M, 4C) = (55 * 495) / 100947

P(2M, 4C) ≈ 0.2723

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Since there are four choices for each question, the total number of ways to fill out the answer sheet is 4⁵, or 4x4x4x4x4, which is equal to 1024.

It involves finding the most efficient and effective solution to a problem by exploring multiple options and assessing the pros and cons of each.

This can be found by calculating the number of possible ways to fill out the answer sheet.

Since there are four choices for each question, the total number of ways to fill out the answer sheet is 4⁵, or 4x4x4x4x4, which is equal to 1024..

To explain why this is happening, it is helpful to look at an example. Let's say the five questions are A, B, C, D, and E.

If a person wants to fill out the answer sheet so that four answers are correct and one is incorrect, they can either choose the correct answer for four of the questions, and then choose an incorrect answer for the fifth question, or they can choose the incorrect answer for four of the questions, and then choose the correct answer for the fifth question.

In terms of calculating the number of ways to fill out the answer sheet, this means that for each of the five questions, there are four possible ways to answer (four choices for each question). This means that there are 4

The answer to this question is 1024. This can be found by calculating the number of possible ways to fill out the answer sheet. Since there are four choices for each question, the total number of ways to fill out the answer sheet is 4⁵, or 4x4x4x4x4, which is equal to 1024.

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Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.

Answer:

product A

75%

67%

Product B

Step-by-step explanation:

I just found the percentage by dividing the amount of people who found relief into the whole

Hopes this helps please mark brainliest