Can someone help me please

Answer:

$1053

Step-by-step explanation:

If we have that £1 = $1.62, then we can multiply both sides by 650 in order to get £650 on the left side of the equality. We must multiply the right side also by 650, and so we get £650=$1.62 * 650.

To do this multiplication, we can break 1.62 down  simply into $1.00 +$0.6+$0.02

650*$1.00=$650, 650*$0.6=650*6/10=65*6=$390, and 650*$0.02=650*2/100=6.5*2=$13.

When we add these three products together, we get $650+$390+$13=$1053. And so, £650=$1053

The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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8×9÷6+2-8.53²+⅖​

= -58.3609

The approximate probability that out of 1000 poker hands there will be at least 450 with a single pair is 0.035

This is a binomial distribution problem with n = 1000 and p = 0.42. Let X be the number of poker hands with a single pair out of 1000 poker hands.

To find the probability that there are at least 450 poker hands with a single pair, we need to calculate P(X ≥ 450).

Using the normal approximation to the binomial distribution, we have:

μ = np = 1000 × 0.42 = 420

σ = √(np(1-p)) = √(1000 × 0.42 × 0.58) ≈ 16.08

Using the continuity correction, we can approximate P(X ≥ 450) as P(Z ≥ (449.5 - 420)/16.08) where Z is the standard normal distribution.

P(Z ≥ (449.5 - 420)/16.08) = P(Z ≥ 1.814) ≈ 0.035

Therefore, the approximate probability that out of 1000 poker hands there will be at least 450 with a single pair is 0.035.

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Answer: Z<4

Step-by-step explanation:

Rearrange the equation

-3(z-6) - (2z-2)>0

-3z+18-2z+2>0

-5z +20>0

-5(z-4)>0

divide  both side by -5

z-4<0

z<4

All five answers are (1) 285.7 ft2 (2) 1056 cm2 (3) 105 mm3 (4) 108 cm3 (5) 628 mm3 in accordance with the provided assertion.

In mathematics, volume refers to the amount of space present within a specific 3D object. As an example, the dimensions of a fish aquarium are three feet long, one foot broad, and two feet height.

By increasing the length, width, and height, or 3x1x2, which also equals six, the volume is determined. Consequently, the fish tank has a 6 cubic foot size.

(1) The lateral area of a cone can be calculated using the formula L = πrℓ, where r is the radius and ℓ is the slant height. Using the given values, we have:

L = π(7)(13) ≈ 285.7 ft²

Rounding to the nearest tenth, the answer is 285.7 ft².

(2) A = B + (1/2)Pl, where B is the base area, P is the base circumference, l is the slope height, and A is the surface area, can be used to determine the surface area of a square pyramid. Since the pyramid's foundation is square, we have:

B = (24)² = 576 cm²

The perimeter of the base is 4 times the base length, so we have:

P = 4(24) = 96 cm

Now we can use the formula to find the surface area:

A = 576 + (1/2)(96)(16) = 1056 cm²

Therefore, the surface area of the square pyramid is 1056 cm².

(3) The volume of a rectangular prism can be calculated using the formula V = lwh,

where

l is the length

w is the base

h is the height

V is the volume.

Substituting the given values, we have:

V = (5)(7)(3) = 105 mm³

Therefore, the volume of the rectangular prism is 105 mm³.

(4) The formula V = (1/3)Bh, where B is the base area, h is the height, and V is the volume, can be used to determine the volume of a square pyramid. Since the pyramid's foundation is square, we have:

B = (9)² = 81 cm²

Now we can use the formula to find the volume:

V = (1/3)(81)(4) = 108 cm³

Therefore, the volume of the square pyramid is 108 cm³.

(5) The volume of a cone can be calculated using the formula V = (1/3)πr2h, where r is the radius, h is the height, and V is the volume. Substituting the given values, we have:

V = (1/3)π(10)²(6) ≈ 628.3 mm³

Rounding to the nearest whole number, the answer is 628 mm³.

Therefore, the volume of the cone is 628 mm³.

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Answer:

y = 4

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan30° = \(\frac{1}{\sqrt{3} }\) , then

tan30° = \(\frac{opposite}{adjacent}\) = \(\frac{y}{4\sqrt{3} }\) = \(\frac{1}{\sqrt{3} }\) ( cross-  multiply )

y × \(\sqrt{3}\) = 4\(\sqrt{3}\) ( divide both sides by \(\sqrt{3}\) )

y = 4

Answer:

y=4

Step-by-step explanation:

If we have a triangle with angles A, B, and C. The law of sines says that the proportion between the sin of angle A and its opposite side is equal to the proportion between the sin of angle B and its opposite side and it is equal to the proportion between the sin of angle C and its opposite side.

So, by the law of sines we can say that:

\(\frac{sen(60)}{4\sqrt{3} } =\frac{sen(30)}{y}\)

Solving for y, we get:

\(sin(60)*y=4\sqrt{3}*sin(30)\\\frac{\sqrt{3} }{2}y=4\sqrt{3}*0.5\\ \frac{1}{2} y=4*0.5\\y = 4\)

a)Does not have an inverse function

b) g(x) has an inverse function

c)Domain of g(x) is [0, π],range is [-1, 1]

d)domain of g−1(x)=cos−1(x) is [-1, 1], range is [0, π]

a) No, y=cos(x) does not have an inverse function because it fails the vertical line test.
b) g(x) has an inverse function, g−1(x)=cos−1(x), because it passes the vertical and horizontal line tests when its domain is restricted to the interval [0, π].
c) The domain of g(x) is [0, π], and the range is [-1, 1] in interval notation.
d) The domain of g−1(x)=cos−1(x) is [-1, 1], and the range is [0, π] in interval notation.

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Answer:

63

Step-by-step explanation:

\(12+(0.60*63)=49.8\)

Answer:

63 or C

Step-by-step explanation:

Good Luck!

Answer: 4x^2 + 20x + 25

Step-by-step explanation:

(2x + 5)^2 = 4x^2 + 20x + 25

Harris ate x - 111 slices of pizza, So the total number of slices in the pizza is n ,where x is the number of slices each of the 44 friends received, and n is the total number of slices in the pizza, which must be a multiple of 44.

Let x be the number of slices each of the 44 friends received, then the total number of slices in the pizza is 44x. Since the pizza is evenly divided, the number of slices must be a multiple of 44.

Let y be the number of slices Harris received. Then, according to the problem, Harris ate 111 fewer slices than he received, so the number of slices he ate is y - 111.

Since the total number of slices in the pizza is 44x, we have:

y + 43x = 44x

Simplifying this equation, we get:

y = x

Therefore, Harris received the same number of slices as each of the other friends. So the number of slices he ate is:

y - 111 = x - 111

Substituting y = x, we get:

x - 111

Therefore, Harris ate x - 111 slices of pizza.

To find the value of x, we need to know the total number of slices in the pizza, which must be a multiple of 44. We can express this as:

44n = 44x

Dividing both sides by 44, we get:

n = x

So the total number of slices in the pizza is n.

Putting everything together, we get: Harris ate x - 111 slices of pizza, where x is the number of slices each of the 44 friends received, and n is the total number of slices in the pizza, which must be a multiple of 44.

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Answer: It is not possible

Step-by-step explanation:

to have a triangle with sides 5 cm, 3 cm and 2 cm. Sum of any two sides of a triangle must be greater than the third side.

3 cm + 2 cm = 5 cm

The the coordinates of the vertex is at (-2, 1) and the axis of symmetry at x = -3

The quadratic function is given by

f(x) = \(-3(x+2)^2\) + 1

The vertex form of the quadratic function is

f(x) = \(a(x-h)^2\) + k

Where (h, k)  is the coordinates of the vertex

x =  h is the axis of symmetry

Compare the given function and the vertex form of the quadratic function and find the value of the each term

The value of h = -2

The value of k = 1

The coordinates of the vertex = (-2, 1)

The axis of symmetry is at x = h

h = -2

Draw the graph using the details

Hence, the the coordinates of the vertex is at (-2, 1) and the axis of symmetry at x = -3

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Answer:

Step-by-step explanation:

Answer:

21 2

Step-by-step explanation:

Answer:

21, 2 aka option A

Edge 2020

The probability of the sample mean weight being greater than 3.55 kg is 0.1230, rounded to 4 decimal places.

We can solve this problem by using the Central Limit Theorem (CLT). The CLT states that the sample means of a sufficiently large sample size from any population will be normally distributed, regardless of the population's underlying distribution.

In this case, we know the population mean (μ = 3.4 kg) and the population standard deviation (σ = 0.5 kg). We also know the sample size (n = 15) and the desired probability of the sample mean being greater than 3.55 kg.

To apply the CLT, we need to calculate the sample mean (x') and the standard error (SE) of the sample mean. The sample mean can be calculated by adding up the weights of the 15 full-term female babies and dividing by 15.

x' = (sum of weights)/n = (15*3.4) / 15 = 3.4 kg

The standard error of the sample mean can be calculated by dividing the population standard deviation by the square root of the sample size.

SE = σ/√n = 0.5/√15 = 0.1291 kg

Next, we need to standardize the sample mean using the standard normal distribution (z-distribution).

z = (x' - μ) / SE = (3.55 - 3.4) / 0.1291 = 1.16

Using a standard normal table or calculator, we find that the probability of getting a z-score greater than 1.16 is 0.1230.

In conclusion, the probability of obtaining a sample mean weight greater than 3.55 kg from a sample of 15 full-term female babies is approximately 0.1230.

This means that there is a 12.30% chance of obtaining a sample mean weight greater than 3.55 kg if we randomly select 15 full-term female babies from the population with mean 3.4 kg and standard deviation 0.5 kg.

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Complete question is:

The birth weights of female born full term are normallydistributed with mean μ = 3.4 kilograms and standard deviation σ = 0.5 kilogram. A large city hospital selects a random sample of 15 full-term female born in the last six months. find the probability that the sample mean weight is greater than 3.55 kilograms. round your answer to 4 decimal places.

Answer:

4th option.

Step-by-step explanation:

You pay $9 and $__ for a total of $16.

$9 + $__ = $16.

9+__=16

The gender that would have the highest probability of finding jeans to fit their height is males.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true

From the information, in the sample of 20 people, there are 8 females and 12 males who are looking for jeans that fits them.

Probability for males = 12 / 20

= 0.6

Probability for females will be:

= 8 / 20

= 0.4

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In a sample of 20 people, there are 8 females and 12 males who are looking for jeans that fits them. which gender would have the highest probability of finding jeans to fit their height?

The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.

To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.

The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.

By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.

Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.

Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.

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Required polynomial in the form p(x) is: \(\[f(x)=\boxed{x^3-2x^2+4x-3+\frac{5}{x-1}}\]\)

We are given the following polynomial: \(\[f(x)=\frac{x^4-3x^3+2x^2-7x-2}{x-1}\]\)

To perform polynomial long division we divide the highest degree terms of the numerator and denominator. Then we write the quotient and remainder on top of each other and multiply the denominator of the original problem with the quotient to check if the answer is correct.

Let's start with the highest degree terms.

\(\[\begin{array}{r r c r r} &x^3 &-2x^2 &+4x &-3\\ \cline{2-5} x-1 & x^4 &-3x^3&+2x^2&-7x&-2 \\ & \underline{x^4} &-\underline{x^3} & & & \\ & & -2x^3 & +2x^2 & & \\ & & \underline{-2x^3} & +\underline{2x^2} & & \\ & & & 0x^2 & -7x & \\ & & & & -7x & +7 \\ & & & & \underline{-7x} & +\underline{7} \\ & & & & & \boxed{5} \\ \end{array}\]\)

Therefore, the required polynomial in the form p(x) is:\(\[f(x)=\boxed{x^3-2x^2+4x-3+\frac{5}{x-1}}\]\)

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Answer:By solving a system of equations, we will see that the function is continuous for all values of x

Step-by-step explanation:

The price of the carpet per square meter is $32.13. It will cost $1,556.86 to carpet an area of 1475 square feet.

1. To find the price of the carpet per square meter, first convert $28.99 per square yard to meters.

1 yard = 0.9144 meters

$28.99 per yard x (1 meter/ 0.9144 meters) = $32.13 per square meter

2. To find the cost of carpeting an area of 1475 square feet, first convert 1475 square feet to square yards.

1 square foot = 0.11111 square yards

1475 square feet x (1 square yard/ 0.11111 square yards) = 13,333.33 square yards

3. Multiply the cost per square yard by the number of square yards needed to carpet the area.

$28.99 per square yard x 13,333.33 square yards = $1,556.86

The complete question is:

a carpet sells for $28.99 a square yard. what is the price of the carpet per square meter? how much will it cost to carpet an area of 1475 square feet? 1 yard is equal to 0.9144 meters

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Answer:

12x²-2/14x²-9

Step-by-step explanation:

Since the denominators are the same you can ignore them.

9x²+3- (-3x²)+5

Simplyfies to 12x²-2

\(\bold{\text{Answer:}\quad \dfrac{2(6x^2-1)}{14x^2-9}}\)

Step-by-step explanation:

\(.\quad \dfrac{9x^2+3}{14x^2-9}-\dfrac{-3x^2+5}{14x^2-9}\\\\\\=\dfrac{9x^2+3}{14x^2-9}+\dfrac{-(-3x^2+5)}{14x^2-9}\\\\\\=\dfrac{9x^2+3}{14x^2-9}+\dfrac{3x^2-5}{14x^2-9}\\\\\\=\dfrac{9x^2+3+3x^2-5}{14x^2-9}\\\\\\=\dfrac{12x^2-2}{14x^2-9}\\\\\\=\large\boxed{\dfrac{2(6x^2-1)}{14x^2-9}}\)

Answer:

B

Step-by-step explanation:

because when you get the square of 6 and 7,add , you will get the square of 10 as the answer.

Answer:

There should be about 612 girls

Step-by-step explanation:

350 divided by 4 = 87.5

87.5 x 7 = 612.5

round 612.5 down, which gets 612

Answer:

15/2

Step-by-step explanation:

Answer:

15/2 or 7 1/2

Step-by-step explanation:

There are 120 different orders in which the 5 cars can be parked.

The car salesman can park the first car in any of the 5 visible spaces. Once the first car is parked, he has only 4 visible spaces left to park the second car.

For the third car, he has 3 visible spaces left, for the fourth car he has 2 visible spaces left, and for the fifth car, he has only 1 visible space left. Therefore, the total number of different orders in which he can park 5 different cars is:
5 x 4 x 3 x 2 x 1 = 120

So, the car salesman can park 5 different cars in 120 different orders.

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The average speed of the car while taking photos in m/s is 1.6 m/s

Total photos taken = 2

Time taken = 0.5 seconds

Distance = 0.8m

Thus, this can be noted as -

Distance = Marks on the road between the two photos = 0.8 meters

Time = Time between the two photos = 0.5 seconds

Speed is defined as the rate at which a distance travelled or a height reached changes. It has a time component. In the given case, the speed camera is taking photos and we are required to calculate the average speed of the car

Calculating the speed -

Average Speed = Distance ÷ Time

Substituting the values -

= 0.8 /0.5

= 1.6

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The coefficient of the last term in the binomial expansion is 1.

Given term is (x + 1)⁹.

The algebraic expansion of a binomial's powers is expressed by the binomial theorem or binomial expansion. The process of expanding and writing terms that are equal to the natural number exponent of the sum or difference of two terms is known as binomial expansion.

The binomial expansion formula for (a + b)ⁿ= ⁿC₀(aⁿb⁰)+ⁿC₁(aⁿ⁻¹b¹)+ⁿC₂(aⁿ⁻²b²)+ⁿC₃(aⁿ⁻³b³)+...............+ⁿCₙ(a⁰bⁿ)

Here, a = x, b = 1 and n = 9.

Substituting the values in the formula,

⁹C₀(x⁹{1}₀)+⁹C₁(x⁹⁻¹{1}¹)+⁹C₂(x⁹⁻²{1}²)+⁹C₃(x⁹⁻³{1}³)+......+⁹C₉(x⁰{1}⁹)

The last term is ⁹C₉(x⁰{1}⁹)

The coefficient of the last term = ⁹C₉ = 1.

Hence, the coefficient of the last term in the binomial expansion of (x+1)⁹ is 1.

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