Aria is going to Turkey. The exchange rate is £1 = 4.2638 lira. She changes £230 to lira. How many lira will she get to the nearest lira?

Step-by-step explanation:

work out the area and circumference for the whole circle in the normal way. then you are looking for the sector part ( fraction)

so multiply the answer for the whole by 60/360

Answer:

c

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Its 0

The probability of getting 5 or more sales for 1000 telephone calls is  0.8810. The probability of success (getting a sale) is 1% or 0.01, and the number of trials is 1000.

Using a binomial probability calculator or a statistical software, we can calculate the probability as follows:

P(X ≥ 5) = 1 - P(X < 5)

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

Using the binomial probability formula, we can calculate each individual probability:

P(X = k) = (nCk) * p^k * (1 - p)^(n - k)

where n is the number of trials, k is the number of successes, and p is the probability of success.

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

         = (1000C0) * (0.01^0) * (1 - 0.01)^(1000 - 0)

           + (1000C1) * (0.01^1) * (1 - 0.01)^(1000 - 1)

           + (1000C2) * (0.01^2) * (1 - 0.01)^(1000 - 2)

           + (1000C3) * (0.01^3) * (1 - 0.01)^(1000 - 3)

           + (1000C4) * (0.01^4) * (1 - 0.01)^(1000 - 4)

Using a binomial probability calculator or a statistical software, the value of P(X < 5) is approximately 0.1189.

Therefore, the probability of getting 5 or more sales for 1000 telephone calls is:

P(X ≥ 5) = 1 - P(X < 5)

         = 1 - 0.1189

         ≈ 0.8810

So, the correct answer is A) 0.8810.

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Answer:

a

Step-by-step explanation:

\( \cos(53 ) = \frac{x}{15} = = = > \\ 0.6 = \frac{x}{15} = = = > \\ x = 9\)

Answer:

220

Step-by-step explanation:

First, find the area of the bottom prism.

5x10x3 = 150.

Then find the area of the top prism.

The trapezoid's area is 7, multiply this by 10.

Add your quantities together.

You get 220.

Answer:

"the product" is multiplication.

x

"33 and j"

33 x j

33jr 33

Mulipaction :)

The largest integer less than 2010 that has a remainder of 5 when divided by 7, a remainder of 10 when divided by 11, and a remainder of 10 when divided by 13. is 1440

Given, a number less than 2010 that has a remainder of 5 when divided by 7, a remainder of 10 when divided by 11, and a remainder of 10 when divided by 13.

On using the Chinese remainder theorem. As, the numbers 7, 11, 13 are pairwise coprime.

Firstly, an integer  m  such that  m−5  is divisible by 7 and  m−10  is divisible by 11 .

The Chinese remainder theorem says that all integers that work will be of the form  54+7⋅11⋅k=54+77k  for any integer  k .

Next an integer  n  such that  n−10  is divisible by 13 and  n−54  is divisible by 77.

Then, by the Chinese remainder theorem, all the integers that also work are of the form  439+13⋅77⋅k=439+1001k .

Hence, the positive integers satisfying the condition are: 439, 439 + 1001 = 1440, 1440 + 1001 = 2441, and so on.

The largest integer less than 2010 is 1440.

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Answer: 4x

2x + 2x=4x

Answer: 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Write 10% as 10/100

Of means multiply (as a math term) --

Consequently, the final step becomes 10/100 x 40:

- Multiply 10 and 40: 400

- Divide the 400 by 100 = 4

Have a nice day ~!

A) $15,025.8. is the correct option. Chloe loans out a sum of $1,000 every quarter to her associates at an interest rate of 4%, compounded quarterly. She stand to get $15,025.8. if er loans are repaid after three years.

Chloe loans out a sum of $1,000 every quarter to her associates at an interest rate of 4%, compounded quarterly.

We need to find how much she stands to gain if er loans are repaid after three years.

Calculation: Semi-annual compounding = Quarterly compounding * 4 Quarterly interest rate = 4% / 4 = 1%

Number of quarters in three years = 3 years × 4 quarters/year = 12 quarters

Future value of $1,000 at 1% interest compounded quarterly after 12 quarters:

FV = PV(1 + r/m)^(mt) Where PV = 1000, r = 1%, m = 4 and t = 12 quartersFV = 1000(1 + 0.01/4)^(4×12)FV = $1,153.19

Total amount loaned out in 12 quarters = 12 × $1,000 = $12,000

Total interest earned = $1,153.19 - $12,000 = $-10,846.81

Therefore, Chloe stands to lose $10,846.81 if all her loans are repaid after three years.

Hence, the correct option is A) $15,025.8.

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If the p-value is greater than alpha, then we fail to reject the null hypothesis and cannot accept the alternative hypothesis.

To determine the evidence against the null hypothesis and in support of the alternative hypothesis, we need to calculate the test statistic and the p-value.

Given the following scenario:

1. H0: μ = 0.68Ha: μ ≠ 0.68, and the data is not provided, we cannot calculate the test statistic and p-value to determine the evidence against H0 and in support of Ha.

Without the data, it is impossible to say how much evidence there is against H0 and in support of Ha.

The evidence would depend on the results of the statistical test.

If the p-value is less than the level of significance (alpha), then we reject the null hypothesis and accept the alternative hypothesis.

If the p-value is greater than alpha, then we fail to reject the null hypothesis and cannot accept the alternative hypothesis.

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Answer:

the median should be 2.5

Answer:

2.5

Step-by-step explanation:

By taking the dots ploted on the graph we can take those as actual numbers and put them on a line.

0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5

Now you will take off the numbers until you get to the middle number

0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5

Because the middle two numbers are 2 and 3, you take the mean of the two numbers.

(2 + 3) / 2

= 2.5

The rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

What is volume?

Volume refers to the amount of three-dimensional space occupied by an object or a substance.

To find the rate of increase in the volume V of a sphere when the surface area S becomes 100π square inches, we need to use the formulas relating the surface area and volume of a sphere to its radius.

The surface area S of a sphere is given by the formula:

\(S = 4\pi r^2,\)

where r is the radius of the sphere.

The volume V of a sphere is given by the formula:

\(V = (4/3)\pi r^3.\)

To find the rate of increase in volume with respect to time, we need to differentiate the volume formula with respect to time.

Given that the radius r is increasing at a uniform rate of 0.3 inches per second, we can write:

dr/dt = 0.3 inches per second.

Now, let's differentiate the volume formula with respect to time:

\(dV/dt = d/dt [(4/3)\pi r^3].\)

Using the power rule of differentiation, we get:

\(dV/dt = (4/3)\pi * 3r^2 * (dr/dt).\)

Simplifying further, we have:

\(dV/dt = 4\pi r^2 * (dr/dt).\)

Since we want to find the rate of increase in cubic inches per second, we need to express the volume in cubic inches.

Substituting the value of the surface area S = 100π square inches into the surface area formula:

\(100\pi = 4\pi r^2.\)

Dividing both sides by 4π, we get:

\(r^2 = 25.\)

Taking the square root of both sides, we find:

r = 5.

Now, we can substitute the value of r into the rate of increase formula:

\(dV/dt = 4\pi(5^2) * (0.3).\)

Simplifying the expression:

dV/dt = 4π(25) * 0.3.

dV/dt = 30π cubic inches per second.

Therefore, the rate of increase in the volume V is 30π cubic inches per second when the surface area S becomes 100π square inches.

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The volume of the composite figure is 60.14 ft³.

The figure is a composite figure because it's made up of two solid shape. The shapes are cylinder and cone.

Therefore,

volume of the figure = volume of the cone + volume of the cylinder

Therefore,

volume of the cone = 1 / 3 πr²h

where

Hence,

volume of the cone = 1 / 3 × π × 3² × 5

volume of the cone = 1 / 3 × π × 9 × 5

volume of the cone = 45 / 3 π

volume of the cone = 15π

volume of the cylinder = πr²h

volume of the cylinder = π × 3² × 4

volume of the cylinder = π × 9 × 4

volume of the cylinder = 36π

Hence,

volume of the figure = 15 + 36π

volume of the figure = 51π

volume of the figure = 51 × 3.14

volume of the figure = 160.14 ft³

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The lower and upper bounds of h - k are 42.31 and 42.49 respectively.

Upper and lower bounds are the maximum and minimum values that a number could have been before it was rounded. They can also be called limits of accuracy.

The upper and lower bounds can be written using error intervals

The lowest value of h is 47.15

The greatest value of h is 47.24

The greatest value of k is 4.84

The lowest value of k is 4.75

Thus upper bound of h -k = 47.24 - 4.75 = 42.49

Thus lower bound of h -k = 47.15 - 4.84 = 42.31

Thus the lower and upper bounds of h - k are 42.31 and 42.49 respectively.

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Step-by-step explanation:

Given the equation that represents this order expressed as;

The number of tiles = 12b + 38 where;

b is the the number of bundles ordered

If a customer needs 150 tiles, the total number of bundles ordered can be gotten by simply substituting The number of tiles into the modeled equation and find the value of b. This is as shown below;

On substituting;

150 = 12b + 38

12b = 150 - 38

12b = 112

b = 112/12

b = 9.33

b ≈ 9 bundles

We need to round up the problem because the number of tiles can not be in fraction but as whole numbers.

The inequality compare between two parameters with a certain extent. The number of bundles to be ordered are 10.

Given that:

Number of tiles the customer needs is 150.

Number of tiles supplier already has is 38.

Tiles per bundle is 12.

And we don't want to supply less tiles to the customer, that is why we will order equal or more tile bundles that will satisfy the customer's needs.

Let b be the number of bundles.

Or symbolically, using inequality, we can say that:

\(12\times b \: + 38 \geq 150\\\\b \geq \dfrac{112}{12}\\\\b \geq 9.333...\\\)

Since bundles ordered will be counted in positive integers, thus we have:

b = 10

Thus, the number of bundles to be ordered are 10.

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To ensure that the absolute error in approximating ∫^3_1 ln(x)dx with the composite trapezoidal rule is smaller than 10^-5, we need to use at least 100 subintervals.

To determine the number of 3 subintervals needed for the absolute error in approximating ∫^3_1 ln(x) dx using the composite trapezoidal rule to be smaller than 10^-5, we can use the error formula for the trapezoidal rule:

Error = -[(b - a)^3 / (12n^2)] * f''(c)

Here, a = 1, b = 3 are the limits of integration, n is the number of subintervals, and f''(c) is the second derivative of ln(x) evaluated at some point c within the interval [1, 3].

Since ln(x) is a concave function on the interval [1, 3], its second derivative f''(x) = -1/x^2 is negative. The absolute value of the second derivative is f''(x) = 1/x^2.

To find the number of subintervals, we need to solve the following inequality:

[(3 - 1)^3 / (12n^2)] * (1/c^2) < 10^-5

Simplifying the inequality, we have:

4 / (12n^2 * c^2) < 10^-5

1 / (3n^2 * c^2) < 10^-5

Since we want the absolute error to be smaller than 10^-5, we can set the left side of the inequality to be less than 10^-5.

1 / (3n^2 * c^2) ≤ 10^-5

Solving for n, we find:

n^2 ≥ 1 / (3 * 10^-5 * c^2)

n ≥ sqrt(1 / (3 * 10^-5 * c^2))

n ≥ 100 * c^(-1)

So, the number of subintervals needed is at least 100 divided by the value of c.

Since the specific value of c is not provided, we cannot determine the exact number of subintervals. However, we can conclude that we need at least 100 subintervals to ensure that the absolute error is smaller than 10^-5, regardless of the value of c.

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Answer:

Chord

Step-by-step explanation:

Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.

The required answer  is the correct model is D. N(x) = 40x + 12,500.

we need to choose the correct model that expresses the number of miles N that will be on the car's odometer after x days. We know that the car has 12,500 miles on its odometer currently and is driven an average of 40 miles per day. Therefore, after x days, the car will have driven 40x miles.

The international mile is precisely equal to 1.609344 km (or 2514615625 km as a fraction.
To calculate the total number of miles on the car's odometer after x days, we need to add the initial 12,500 miles to the number of miles driven after x days. The correct model that expresses this relationship is option A:
N(x)= 12,500x + 40

This model takes into account the initial 12,500 miles on the odometer and adds the number of miles driven after x days (40x). Therefore, the total number of miles on the car's odometer after x days can be calculated using this model.

To answer your question, let's analyze the given models for the number of miles N on the car's odometer after x days:

A. N(x) = 12,500x + 40
B. N(x) = -40x + 12,500
C. N(x) = 40 - 12,500
D. N(x) = 40x + 12,500

An odometer or odograph is an instrument used for measuring the distance traveled by a vehicle, such as a bicycle or car. The device may be electronic, mechanical, or a combination of the two. Early forms of the odometer existed in the ancient Greco-Roman world as well as in ancient China. In countries using Imperial units or US customary units it is sometimes called a mileometer or milometer, the former name especially being prevalent in the United Kingdom and among members of the Commonwealth.

Since the car currently has 12,500 miles on its odometer and is driven an average of 40 miles per day, we need a model that adds 40 miles for each day (x) to the initial 12,500 miles.

The correct model is D. N(x) = 40x + 12,500.

This model represents the number of miles N on the odometer after x days, considering the car is driven an average of 40 miles per day.

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Answer:

272 m

Step-by-step explanation:

You have to devide the shape in 2.

Answer:

4x^2 + 24 = 0

4x^2 = - 24

unsqrt

4x = ±2√6

x =  (±2√6)/4

Answer:

The maximum amount of flower arrangements she can make are 28.

Step-by-step explanation:

There are enough roses and carnations to make 28 flower arrangements. There will still be leftover carnations but that's fine.

You do this by finding the smaller number of flowers and grouping them with the other flower so it makes a group of two. If the other flower had 2x the amount of the smaller flower, them group them in a group of 3;  1 : 2

But this is only used to make the maximum amount. this is not the efficient way to go but this is the way to go if you are finding the max amount.

Step-by-step explanation:

That's what I got.

Hope that was helpful

Answer:

\(\boxed{x^4 + x^2 + x}\)

Step-by-step explanation:

\(\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}\)

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

\(= x^4 + x^2 + x\)

.

Happy to help :)

Answer:

what do you need help with?

Step-by-step explanation:

d)An error because d cannot be negative.

According to the data, effect sizes such as Cohen's d typically range from 0 to positive values, and negative values do not make sense in this context. Therefore, an effect size of d = -63 is likely an error or a typo.

Assuming that the correct effect size is a positive value, the magnitude of the effect size can be described as follows based on Cohen's convention:

However, it's important to note that the interpretation of effect sizes also depends on the context and the specific field of study.

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The Lateral area of the pyramid is 40 square feet.

A square pyramid has a base with a side length of 4 feet and lateral faces with heights of 3 feet.

The lateral area of a pyramid is the area of its lateral faces, which are all triangular. The lateral area of a square pyramid can be calculated using the formula: LA = (1/2) where

LA is the lateral area, P is the perimeter of the base, and l is the slant height of each triangular face

.To find the perimeter of the base, we need to know the length of each side. Since the base of this pyramid is a square with a side length of 4 feet, its perimeter is 4+4+4+4=16 feet.

To find the slant height of each triangular face, we can use the Pythagorean Theorem. Since we know the height of each face is 3 feet and the base of each face is a side of the square base, we can find the slant height using the equation: a² + b² = c², where a and b are the legs of the right triangle formed by one of the lateral faces, and c is the hypotenuse. In this case, a=b=4 feet and c=l,

so we have:4² + 3² = l²16 + 9 = l²25 = l²5 =

Now that we know the perimeter of the base (P = 16 feet) and the slant height of each face (l = 5 feet), we can use the formula for the lateral area: LA = (1/2)PlLA = (1/2)(16 feet)(5 feet)LA = 40 square feet

therefore, the lateral area of the pyramid is 40 square feet.

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Answer:

1. 324kg

2. 67.5%

Step-by-step explanation:

1.  % increase = 100 + 8 = 108%

\(\frac{108}{100} x 300\)

= 324kg

2. \(\frac{27}{40} x 100\)

= 67.5%