Nora has a points card for a movie theater. She receives 20 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs at least 155 points for a free movie ticket. What is the least number of visits she needs to make in order to earn a free movie ticket?

Answer:

-16/45

Step-by-step explanation:

8/15*-2/3= -16/45

Answer:

8/15 times -2/3 =-0.35555555555

Answer:

We know that the sum of all the interior angles of a triangle is always equal to 180°.

And we know that the angles are in a ratio of:

2:5:5

So if we have an angle (unknown) θ, the angles of this triangle will be written as:

2*θ

5*θ

5*θ

Now remember that the sum of the 3 angles is equal to 180°, this leads to:

2*θ + 5*θ + 5*θ = 180°

Now we can solve this for θ

(2 + 5 + 5)*θ = 180°

12*θ = 180°

θ = 180°/12 = 15°

This means that the angles of this triangle are:

2*θ = 2*15° = 30°

5*θ = 5*15° = 75°

5*θ = 5*15° = 75°

Now we want to classify this triangle based on this, we have two equal angles, which implies that we must have two equal sides and another different side.

Then this is an isosceles triangle.

Therefore, the predicted difference in sales between two women's clothing stores differing by $30,000 is $217,500, which is option E.

Given a regression equation is y = 5000 + 7.25x, where y is the predicted sales value (in dollars) and x is advertising budget (in dollars).To find the predicted difference in sales of two stores which differ by $30,000 in advertising budget. Here, the slope of the line is 7.25. This means that for every dollar increase in advertising budget, sales will increase by $7.25. Therefore, a $30,000 difference in advertising budget will lead to a difference in sales of:7.25 × 30,000 = 217,500Therefore, the predicted difference in sales between two women's clothing stores differing by $30,000 is $217,500, which is option E.

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1.2 kg of broccoli costs $7.08.

950 g of celery costs $2.47.

In order to determine the cost of 1.2 kg of broccoli, the first step is to determine the cost of 1kg of broccoli

1 kg = 1000 g

100g = 0.1 kg

Cost of one kg of broccoli = $0.59 / 0.1 = $5.90

The second step is to determine the cost of 1.2kg of broccoli.

$5.9 x 1.2 = $7.08

In order to determine the cost of 950g of celery, the cost of 1g of celery.

$0.26 / 100 = $0.0026

The second step is to determine the cost of 950g of celery.

950 x 0.0026 = $2.47

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Answer:

51

Step-by-step explanation:

The two tangent lines can be set equal to each other

10x - 19 = 4x + 23

Solve for x

10x - 19 = 4x + 23

-4x         -4x

6x - 19 = 23

    +19    +19

6x = 42

6       6

x = 7

Plug in x and solve for FE

10x - 19 = 10(7)-19 = 51

Answer:

76.2 cm

Step-by-step explanation:

If you convert, said inches, it wouldn't be an exact number, but it would equal 76.2.

Answer:

320 miles

Step-by-step explanation:

he drives to work 5 times a week and back 5 times a week, so 5+5 = 10 and 32x10 is 320

The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

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Answer:

6.32 in.

Step-by-step explanation:

2.92 + 3.4 = 6.32

Answer: 6.32 inches

.........................

7

drama, maths and physics= 20

drama and physics only= 7

drama and maths only = 16

neither maths nor physics = 7+16+20-50

= 7

Answer:

wsg look it up on the internet the answer is 6666666666666666666666666666666666666666666666

Step-by-step explanation:

The firm's output when marginal revenue is equal to zero is 1 million. Hence, the answer is option a. 1.

To find the firm's output when marginal revenue (MR) is equal to zero, we need to first understand the relationship between the demand curve and marginal revenue.

The marginal revenue (MR) is the change in total revenue resulting from producing and selling one additional unit of output. In this case, the total revenue (TR) is the product of quantity (Q) and price (P), so we have TR = QP.

To find the marginal revenue, we can take the derivative of the total revenue function with respect to quantity:

MR = d(TR)/dQ

Using the given demand curve Q = 2 - 0.01P, we can express price (P) in terms of quantity (Q) as P = 200 - 100Q (by rearranging the equation).

Substituting this price expression into the total revenue function, we have:

TR = QP = Q(200 - 100Q) = 200Q - 100Q^2

Now, we can find the marginal revenue by taking the derivative of the total revenue function with respect to quantity (Q):

MR = d(TR)/dQ = 200 - 200Q

To find the output level when MR is equal to zero, we set MR = 0 and solve for Q:

0 = 200 - 200Q

200Q = 200

Q = 200/200

Q = 1

Therefore, the firm's output when marginal revenue is equal to zero is 1 million. Hence, the answer is option a. 1.

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We want to write in decimals the following fraction

To write this as a decimal number, first we need to convert the denominator to a power of 10. We can do that by multiplying both the numerator and denominator by 4.

Now, we just effectuate the division

0.76 is our answer.

To determine the exact concentration of the solution made, one can divide the mass of the solute with the volume of the solution.

A solution is the substance formed by the mixture of solute in solvent. The solute may or may not be dissolved in the solution. One can determine the exact concentration of the solution if the mass of solute added in the specific volume of solution is known. If the solution is made by someone else, then its concentration can be determined by process of titration.

The concentration of a solution is expressed in the form of moles or grams per unit liter. If the solution is unknown and only its dissolved chemical is known, then titration will help in determining the closest value of concentration if performed without human error. In titration, the use of glassware that that is more precise than the flasks, beakers, and graduated cylinders are used.

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Refer to complete question below:

How do we determine concentration a solution? If it is a solution that we have made up, we can readily do the calculations required. But what if it is a solution that someone else has made? What technique can be used to gather information about a solution that we are given with no other information than the name of the chemical dissolved.

Answer:

maybe its a and e

Step-by-step explanation:

Answer: A and E

Explanation:

A has a triangle to show the slope. If you count the boxes along the triangle the vertical side is 10 boxes and the horizontal side is 4. This means the slope is 10/4 which simplifies to 5/2.

E doesn’t have a triangle to show the slope but if you count in the triangle pattern from one point to the next point the slope equals 5/2.

We know that the amount of interest paid monthly by a bank’s Visa cardholders is normally distributed with a mean of $27 and a standard deviation of $8.The formula to calculate the proportion of interest payments is, (z-score) = (x - µ) / σWhere, x is the value of interest payment, µ is the mean interest payment, σ is the standard deviation of interest payments.

b) Interest payment more than $36,Interest payment = $36 Mean interest payment = µ = $27 Standard deviation of interest payment = σ = $8 The z-score of $36 is,z = (x - µ) / σ = (36 - 27) / 8 = 1.125 From the standard normal distribution table, the proportion of interest payments more than z = 1.125 is 0.1301.Therefore, the proportion of the bank’s Visa cardholders who pay more than $36 in interest is,Proportion = 0.1301

c) Interest payment less than $16,Interest payment = $16 Mean interest payment = µ = $27 Standard deviation of interest payment = σ = $8 The z-score of $16 is,z = (x - µ) / σ = (16 - 27) / 8 = -1.375 From the standard normal distribution table, the proportion of interest payments less than z = -1.375 is 0.0844.Therefore, the proportion of the bank’s Visa cardholders who pay less than $16 in interest is,Proportion = 0.0844

d) Interest payment exceeded by only 21% of the bank’s Visa cardholders,Let x be the interest payment exceeded by only 21% of the bank’s Visa cardholders. Then the z-score of interest payments is,21% of cardholders pay more interest than x, which means 79% of cardholders pay less interest than x.Therefore, the z-score of interest payment is, z = inv Norm(0.79) = 0.84 Where, inv Norm is the inverse of the standard normal cumulative distribution function.From the z-score formula, we have,z = (x - µ) / σ0.84 = (x - 27) / 8x = 27 + 0.84 * 8x = $33.72 Therefore, the interest payment exceeded by only 21% of the bank’s Visa cardholders is $33.72.

The proportion of the bank's Visa cardholders who pay more than $31 is 0.3085. The proportion of the bank's Visa cardholders who pay more than $36 is 0.1301. The proportion of the bank's Visa cardholders who pay less than $16 is 0.0844. And, the interest payment exceeded by only 21% of the bank's Visa cardholders is $33.72.

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\(\\ \tt\longmapsto 9(a+11)\)

Apply distributive law

\(\\ \tt\longmapsto 9a+9(11)\)

\(\\ \tt\longmapsto 9a+99\)

The slope of the linear regression prediction equation is 1,600, which means that for each additional year of

schooling, the expected increase in salary is 1,600.

The slope of the linear regression prediction equation can be calculated by using the formula:

slope = (y2 - y1) / (x2 - x1)

where y2 is the second data point (in this case, 28,600),

y1 is the first data point (in this case, 27,000),

x2 is the second value of the independent variable (in this case, 13 years of schooling), and

x1 is the first value of the independent variable (in this case, 12 years of schooling).

Plugging in the values, we get:

slope = (28,600 - 27,000) / (13 - 12)

slope = 1,600 / 1

slope = 1,600

Therefore, the slope of the linear regression prediction equation is 1,600, which means that for each additional year of

schooling, the expected increase in salary is 1,600.

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Answer:

37/40

Step-by-step explanation:

                                      3/8                              7/10

      80/40                   -       15/40              -          28/40                   =  37/40

two whole shampoo  -      uses at home    -      uses on holiday     =  left

(a) If sn ≥ a for all but finitely many n, then lim sn ≥ a. (b) If sn ≤ b for all but finitely many n, then limit sn ≤ b. (c) If all but finitely many sn belong to [a, b], then lim sn belongs to [a, b].

Define limit ?

In mathematics, the limit of a sequence or function represents the value that the sequence or function approaches as its input or index approaches a certain value or goes to infinity.

(a) To prove that if sn ≥ a for all but finitely many n, then lim sn ≥ a, we can use the definition of convergence.

Assume that sn ≥ a for all but finitely many n. By the definition of convergence, lim sn = L exists if, for any ε > 0, there exists N such that |sn - L| < ε for all n ≥ N.

Let's consider the case where L < a. Since sn ≥ a for all but finitely many n, there exists a large enough N such that for n ≥ N, sn ≥ a. However, this contradicts the assumption that lim sn = L, as there are values of sn greater than or equal to a for n ≥ N. Therefore, we can conclude that L cannot be less than a.

Hence, if sn ≥ a for all but finitely many n, the limit lim sn must be greater than or equal to a, i.e., lim sn ≥ a.

(b) The proof for the second statement follows a similar approach.

Assume that sn ≤ b for all but finitely many n. By the definition of convergence, lim sn = L exists if, for any ε > 0, there exists N such that |sn - L| < ε for all n ≥ N.

Let's assume that L > b. Since sn ≤ b for all but finitely many n, there exists a large enough N such that for n ≥ N, sn ≤ b. However, this contradicts the assumption that lim sn = L, as there are values of sn less than or equal to b for n ≥ N. Therefore, L cannot be greater than b.

Hence, if sn ≤ b for all but finitely many n, the limit lim sn must be less than or equal to b, i.e., lim sn ≤ b.

(c) From parts (a) and (b), we have shown that if sn ≥ a for all but finitely many n, then lim sn ≥ a, and if sn ≤ b for all but finitely many n, then lim sn ≤ b.

Now, suppose that all but finitely many sn belong to the closed interval [a, b]. This implies that sn ≥ a for all but finitely many n (since they belong to [a, b]), and sn ≤ b for all but finitely many n (since they belong to [a, b]).

From parts (a) and (b), we can conclude that lim sn ≥ a and lim sn ≤ b. Therefore, the limit of sn belongs to the closed interval [a, b].

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Answer:

12

Step-by-step explanation:

Multiply both sides by 4

Answer:

X=12

Hope it helps.

Expected value = (1/n) * 1 + (n-1)/n * 2 + (n-2)/n * 3 + ... The expected value of the number of balls needed to be drawn to identify which urn is which can be calculated using the concept of expected value.

In this case, we are drawing with replacement, which means that after each draw, the ball is placed back into the urn.
To find the expected value, we need to consider the probability of each outcome (i.e., identifying the urn) and the number of draws required for each outcome.
Since there are infinite balls of each color in the urns, we can assume that the probability of drawing a specific color is the same for each draw. Let's say there are 'n' urns.
To identify the first urn, we need to draw at least one ball. The probability of drawing the correct color ball in the first draw is 1/n.
To identify the second urn, we need to draw until we get a different color ball than the first urn. The probability of drawing a different color in the second draw is (n-1)/n.
Similarly, to identify the third urn, we need to draw until we get a different color ball than the first two urns. The probability of drawing a different color in the third draw is (n-2)/n.
Following this pattern, we can calculate the expected value by summing the product of the number of draws and the corresponding probabilities for each outcome.
Expected value = (1/n) * 1 + (n-1)/n * 2 + (n-2)/n * 3 + ...
Simplifying this expression will give us the expected value of the number of balls needed to identify each urn.

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Answer:

p = 8

Step-by-step explanation:

2(8 + 1) = 18

2(9) = 18

18 = 18

The answer of the given question based on the function is , Part(a) The money is growing  , Part(b) The rate of growth is 10% per year , Part(c) The 2000 represents the initial investment or starting amount of money.

A function is a mathematical concept that describes the relationship between two sets of numbers or variables, called the domain and the range. A function maps each element in the domain to a unique element in the range. In other words, for every input value in the domain, there is only one output value in the range.

Part a) The money is growing because the value of the function f(x) is increasing with respect to x.

Part b) The rate of growth is 10% per year, as indicated by the 1.10 multiplier in the function. This means that for every year that passes, the value of the function will increase by 10% of its current value.

Part c) The 2000 represents the initial investment or starting amount of money that was invested in the account. In other words, if x=0 (i.e., the initial time of investment), then f(0) = 2000, which means the initial amount invested was $2000.

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Answer:

3/2x

Step-by-step explanation:

the answer is 3/2x

Answer:

3/2x is your final answer .

Answer:

\(\boxed{\mbox \large a = \dfrac{9}{10} = 0.9}\)

Step-by-step explanation:

Equation to be solved is
\(\dfrac{5}{3}a + \dfrac{4}{5} = a + \dfrac{7}{5}\)

Step 1

Get rid of those annoying denominators by multiplying throughout 15. We choose 15 because it is the lowest common multiple of 3 and 5. Since 3 and  are prime numbers the LCM is 3 x 5 = 15

\(15 \cdot \dfrac{5}{3}a +15 \cdot \dfrac{4}{5} = 15\cdot a + 15\cdot \dfrac{7}{5}}\)
==> \(25a + 12 = 15a + 21}\\\)

Step 2

Subtract 15 from both sides:

==> \(25a -15a + 12 = 15a -15a + 21}\\\\\\ 10a + 12 = 21}\\\)

Step 3

Subtract 21 from both sides
\(10a + 12 -12 = 21 - 12\\\\\)

\(10a = 9\)

Step 4

Divide by 10 both sides

\(\dfrac{10a}{10} = \dfrac{9}{10}\\\\\implies a = \dfrac{9}{10} = 0.9\)

Answer:

35 degrees   hope this helps

Step-by-step explanation:

For a standardized normal distribution, p(z<0.3) and p(z≤0.3) are equal because the normal distribution is continuous.

In a standardized normal distribution, probabilities of individual points are calculated based on the area under the curve. Since the distribution is continuous, the probability of a single point occurring is zero, which means p(z<0.3) and p(z≤0.3) will yield the same value.

To find these probabilities, you can use a z-table or software to look up the cumulative probability for z=0.3. You will find that both p(z<0.3) and p(z≤0.3) are approximately 0.6179, indicating that 61.79% of the data lies below z=0.3 in a standardized normal distribution.

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Answer:

About 71.77 degrees

Step-by-step explanation:

The starting leg is 2.3 km and the finishing leg is 6.2 km.

Using the law of cosines C^2 = A^2 + B^2 -2AB*cos(c) where A = 2.3 km, B = 6.2 km, C = 5.9 km, and angle c is the opposite angle to side C, we get:

5.9^2 = 2.3^2 + 6.2^2 -2(2.3)(6.2)*cos(c)

cos(c) = -(5.9^2 - 2.3^2 - 6.2^2)/(2*2.3*6.2)

c = 71.77 degrees

Answer:

72°

Step-by-step explanation:

when we have all the sides and need an angle, we use the law of cosine (the extended Pythagoras) :

c² = a² + b² - 2ab×cos(C)

where c is the side opposite of the angle C.

so, since the starting leg is 2.3 km, and the finishing leg is 6.2 km, we know that 5.9 km is the side opposite of the angle between the starting and finishing legs.

so, we have

5.9² = 2.3² + 6.2² - 2×2.3×6.2×cos(C)

34.81 = 5.29 + 38.44 - 28.52×cos(C)

-8.92 = -28.52×cos(C)

cos(C) = -8.92/-28.52 = 0.312762973...

C = 71.77418076...° ≈ 72°

Answer:

Step-by-step explanation:

4x is in a multiplication form

4x=36

meaning a number when multiplied with 4 gives the answer 36

hence in order to find the answer

36 divided by 4 which is equivalent to 9

answer is 9

Answer:  \(x = 9\)

Step-by-step explanation:

We must isolate \(x\) on one side of the equation in order to solve the equation \(4x = 36\) for \(x\).

Step 1: Divide both sides of equation by 4:

\(\frac{4x}{4} = \frac{36}{4}\)

Step 2: Simplify

\(x = 9\)

Therefore, the solution to the equation is \(x = 9\).

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Rearranging an algebraic equation so that \(x\) is on one side and all other terms are on the other side of the equal sign is known as isolating \(x\).