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Using the formula for the crude birth rate we find out that the crude birth rate for the country Poland is 9.78.

It is given to us that -

There were 375,160 births in Poland

The population counted 38,346,279 people

We have to find out the crude birth rate for this country.

The crude birth rate of a country can be defined as the ratio between the number of live births that happened in a population for a given year and the total population of the country for that particular year and then multiplying the ratio by 1000.

So, the crude birth rate for the country, Poland with 375,160 births and population of 38,346,279 people can be given as -

\((\frac{375160}{38346279}) * 1000\\= 9.78\)

Therefore, the crude birth rate for the country Poland is 9.78.

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The expression -28× + 35× is equivalent to 7×.

The given expression is -28× + 35×.

To simplify the expression, we can first combine the two like terms:

-28× + 35× = (35-28)×

= 7×

To understand why, we can use the distributive property of multiplication over addition, which states that a(b + c) = ab + ac. Using this property, we can rewrite the expression as:

-28× + 35× = (-28 + 35)×

= 7×

This shows that the expression -28× + 35× is equivalent to 7×.

In other words, if we have two quantities, one of which is -28 times some value x and the other of which is 35 times that same value x, then the difference between these quantities is 7 times that value x.

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Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

What is matrix ?

A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,

1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.

2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.

3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.

4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

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Answer: 20

Step-by-step explanation: 2 half triangles at the top can be made into 1 square of 4 units which added onto the other part to create 1, 4 by 5 shape which is 20

The summation of the given function is 3825. Option B is correct.


The summation of the given function is:


50T(n) = Σ (4+3i), i=1



The summation of any arithmetic series is given by the formula


Sn = n/2[2a + (n-1)d]


where a = first term of the series, n = number of terms and d = common difference.



Here, a = 4, n = 50 and d = 3



Sn = 50/2[2(4) + (50-1)(3)]



Sn = 50/2[8 + 147]



Sn = 50/2(155)



Sn = 3825



Therefore, the summation of the given function is 3825.

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A proof competition is held annually by Contradiction Club, with special prizes awarded for first, second, third, and fourth place. If 16 students participate in the competition this year, the awards can be allocated among the students in 120 different ways.

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a) The probability of failing to meet the specification limit of 45-pounds tensile strength 15.87%.

b) The number of parts that would not meet the specification is 7,935.

a) Given that the tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds.

We have to find the probability of failing to meet the specification limit of 45-pounds tensile strength.

Using the standard normal distribution, we can find the probability of failing to meet the specification limit of 45 pounds as follows:

z = {45 - 40}/{5}

= 1

The probability of failing to meet the specification limit of 45 pounds is the probability that the standardized variable Z is greater than 1, which is given by:

P(Z > 1) = 0.1587

Therefore, the probability of failing to meet the specification limit of 45-pounds tensile strength is 0.1587 or 15.87%.

b) If the probability of failing to meet the specification is 0.1587, the probability of meeting the specification limit is

1 - 0.1587 = 0.8413

.If 50,000 parts are produced, then the expected number of parts that meet the specification limit is:

0.8413* 50,000 =  42,065.

Therefore, the number of parts that would not meet the specification is: 50,000 - 42,065 = 7,935.

Hence, about 7,935 parts would not meet the specification.

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Answer:

Option D

Step-by-step explanation:

Given the following question:

Airline makes $98,410
Truck driver makes $38,200

Annually means in a year so the airline makes $98,410 and the truck driver makes $38,200 in a year.

Now in order to find the amount the two make in 20 years we have to multiply:

\(98410\times20=1968200\)
\(38200\times20=764000\)

Now since the question asks "how much MORE" does the airline make we have to subtract:

\(1968200-764000=1204200\)
\(=1204200\)

The airline makes "$1,204,200 more dollars" than the truck driver, or option D.

Hope this helps.

Answer:

The answer is either D or B

Step-by-step explanation:

98,410 x 20 is 1,968,200 so

it might be closer to D or B instead.

Sorry if this is wrong.

But If it is right Can I get brainlest pls.

The true statements are:

The area under the curve to the left of the pth percentile is equal to p

The area under the curve to the right of the pth percentile is equal to (1-P)

For the first set of statements regarding the standard normal distribution:

1. For z < 0; P(Z < 2) < 0

  - This statement is true. Since z < 0, the probability of Z being less than 2 (a positive value) is less than 0.

2. P(Z < 0) = 0.50

  - This statement is true. For the standard normal distribution, the probability of Z being less than 0 is 0.50 or 50%.

3. P(Z > 0) = 0.0

  - This statement is false. The probability of Z being greater than 0 is not 0.0 but rather 0.50 or 50%.

4. For z > 0, P(Z < 2) < 0.50

  - This statement is true. When z is positive, the probability of Z being less than 2 is less than 0.50.

5. For z > 0, P(Z < 2) > 0.50

  - This statement is false. When z is positive, the probability of Z being less than 2 is always less than 0.50.

6. P(Z > 0) = P(Z < 0) = 0

  - This statement is false. The probability of Z being greater than 0 and less than 0 is both 0.50 or 50%.

Therefore, the true statements are:

- For z < 0; P(Z < 2) < 0

- P(Z < 0) = 0.50

- For z > 0, P(Z < 2) < 0.50

For the second set of statements regarding the pth percentile of a continuous random variable:

1. The area under the curve to the left of the pth percentile is equal to p

  - This statement is true. The pth percentile represents the value below which a certain percentage (p) of the data falls.

2. The area under the curve to the left of the pth percentile is equal to (1-p)

  - This statement is false. The area to the left of the pth percentile is equal to p, not (1-p).

3. The area under the curve to the right of the pth percentile is equal to (1-P)

  - This statement is true. The area to the right of the pth percentile is equal to (1 - p).

4. The area under the curve to the right of the pth percentile is equal to p

  - This statement is false. The area to the right of the pth percentile is equal to (1 - p), not p.

5. The pth percentile is positive

  - This statement's validity depends on the specific distribution being considered. The pth percentile could be positive, negative, or zero, depending on the distribution.

Therefore, the true statements are:

- The area under the curve to the left of the pth percentile is equal to p

- The area under the curve to the right of the pth percentile is equal to (1-P)

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When a bill of lading is used to secure payment or a written promise of payment prior to releasing the goods to the importer, it functions as a document of title.

A bill of lading is a crucial document in international trade that serves multiple purposes. One of its primary functions is to act as a document of title, which means it represents ownership of the goods being shipped. In the context mentioned, when a bill of lading is utilized to obtain payment or a written promise of payment before releasing the merchandise to the importer, it signifies that the importer does not gain possession of the goods until the payment obligation is fulfilled. This arrangement provides a level of security for the seller or exporter, ensuring that they receive payment for the goods before relinquishing control. By holding the document of title, the seller retains control over the goods until the payment terms are met. This use of a bill of lading as a document of title helps mitigate risks and safeguards the interests of the parties involved in the transaction.

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the correct answer is 4.05

Answer:

\(the \: third \: answer \: is \: correct\)

Answer:

24, 32, 64

Step-by-step explanation:

12x=6x+48

-6x  -6x

6x=48

x=8

8(3)=24

8(4)=32

8(8)=64

Answer:

24, 32, 64

Step-by-step explanation:

1st=3x

2nd=4x

3rd=8x

2(3x)+48=4x+8x

6x+48=12x

48=6x

x=8

SO:

1st =24

2nd= 32

3rd= 64

Answer:

Step-by-step explanation:

7-(-1)/4-3

8/1=8

Y=8x+b

7=8(4)+b

7=32+b

-25=b

Answer: y=8x-25

The time it take riders to pass over the hill and reach ground level is 111.19 seconds .

Given :

the roller coaster's height expressed by the equation below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1

0.067t^2 - 7t +-50 = 0

Factorize :

On factorizing, the positive value of "t" is 111.19 seconds

Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds

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Answer:

$768

Step-by-step explanation:

8 x 12 = 96 m²

1 m² = $8.00

96m² x $8.00 = $768

Answer:200 is a perfect square

Step-by-step explanation:

because when divided by two it give a whole number being divided

Answer:

t = 26

Step-by-step explanation:

Step 1: Subtract 9 from both sides.

Step 2: Check if solution is correct.

Therefore, t = 26.

Answer:

The Answer of

t=35-9

t=26

The equation of parabola is  (x − 3)² = −8(y − 2).

A parabola is a U-shaped curve that is drawn for a quadratic function, f(x) = ax²+ bx + c. The graph of the parabola is downward (or opens down), when the value of a is less than 0, a < 0. The graph of parabola is upward (or opens up) when the value of a is more than 0, a > 0.

Given:

Vertex = (3, 2)

Directrix, y =4

line of symmetry is the Y value in the vertex = 2

directrix, y= 2 - p

  p = -2

and, a= 1/4p = -1/8

and, focus = (3, (2-2)) = (2, 0)

Now, equation of parabola

y= -1/8 (x- 3)² + 2

-8y = (x- 3)² + 2

(x − 3)² = −8(y − 2)

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The integral ∫ 5 4 (t³i +t √t − 4 j + t sin πtk) dt is evaluated as (1/4)t⁴ + (10/3)i + (-5k cos(5πk))j + (-4/πk) sin(4)k + (1/πk) sin(5πk)k + C

To evaluate the given integral, we need to integrate each component of the vector function separately with respect to t.

∫_4⁵ (t³i + t√(t-4)j + t sin(πtk)k) dt

The integral of the first component t³ with respect to t is (1/4)t⁴.

The integral of the second component t√(t-4) with respect to t can be simplified by making a substitution. Let u = t-4, then du/dt = 1 and dt = du. So the integral becomes:

∫_0¹ ((u+4)√u du) = ∫_0¹ (\(u^{1/2\) + 4\(u^{1/2\)) du = (2/3)\(u^{3/2\) + 8/3 \(u^{1/2\) evaluated from 0 to 1

= (2/3)(1\(u^{3/2\) - \(0^{(3/2)\)) + 8/3 (\(1^{(1/2)\) - \(0^{(1/2)\)) = 2/3 + 8/3 = 10/3.

The integral of the third component t sin(πtk) with respect to t can be evaluated using integration by substitution. Let u = πtk, then du/dt = πk and dt = du/(πk). So the integral becomes:

(1/πk) ∫_\(4^{(5\pi k)\) (u/π) sin(u) du

Using integration by parts, let u = (u/π), dv = sin(u) du, then du = du/π and v = -cos(u):

= (1/πk) [(u/π) (-cos(u)) - ∫_\(4^{(5\pi k)\) (-cos(u) du/π)]

= (1/πk) [(u/π) (-cos(u)) + (1/π) sin(u)] evaluated from 4 to 5πk

= (1/πk) [(5πk/π) (-cos(5πk)) - (4/π) sin(4) + (1/π) sin(5πk)]

= (-5k cos(5πk)) - (4/πk) sin(4) + (1/πk) sin(5πk)

Therefore, the final answer for the integral is: (1/4)t⁴ + (10/3)i + (-5k cos(5πk))j + (-4/πk) sin(4)k + (1/πk) sin(5πk)k + C, where C is the constant of integration.

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Answer: Options 2 and 4

Step-by-step explanation:

Option 1: The angles add to \(180^{\circ}\), so the angles can form a triangle. However, because there are no side lengths, the triangle is only defined up to similarity.

Option 2: The angles do not add to \(180^{\circ}\), so a triangle cannot be formed.

Option 3: The side lengths do not satisfy the triangle inequality, so a triangle cannot be formed.

Option 4: It is not specified what side the \(75^{\circ}\) is opposite of, so multiple triangles can be formed.

Answer: 1 divided by 7

Step-by-step explanation: fraction bar is equal to division

Answer:

C or D but mostly D because the fraction is 1 into 7 and D is dividing 1 into 7 so if correct please consider brainliest

<3

Step-by-step explanation:

Answer: The Answer is A

Step-by-step explanation:

The appropriate null hypothesis is (b) Flavor preferences are evenly distributed across all flavors

The distribution of the gum flavors is given as:

The sample size is given as:

Sample = 80

From the distribution of the gum flavor, we can see that the count of each flavor are not equal i.e. uneven

This means that we can use the following statement as the null hypothesis:

Flavor preferences are evenly distributed across all flavors

Hence, the appropriate null hypothesis is (b)

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Answer:

x = 32

Step-by-step explanation:

x/4 = 8

<=> x = 8 . 4

<=> x = 32

The required answer is the all of the given points (A, B, C, and D) are on the unit circle.

The unit circle is a circle with a radius of 1 unit centered at the origin of a coordinate plane. Points on the unit circle can be represented by their coordinates (x, y), where x is the cosine of the angle and y is the sine of the angle.

To determine which of the following points is on the unit circle, we need to check if the coordinates satisfy the equation x^2 + y^2 = 1. If the coordinates satisfy this equation, then the point is on the unit circle.

consider the points given and check if they are on the unit circle:

- Point A: (1, 0)
- Point B: (0, -1)
- Point C: (-√2/2, √2/2)
- Point D: (0, 1)

Checking each point:

- Point A: (1, 0)
   - 1^2 + 0^2 = 1 + 0 = 1
   - The coordinates satisfy the equation, so point A is on the unit circle.

- Point B: (0, -1)
   - 0^2 + (-1)^2 = 0 + 1 = 1
   - The coordinates satisfy the equation, so point B is on the unit circle.

- Point C: (-√2/2, √2/2)
   - (-√2/2)^2 + (√2/2)^2 = 2/4 + 2/4 = 4/4 = 1
   - The coordinates satisfy the equation, so point C is on the unit circle.

- Point D: (0, 1)
   - 0^2 + 1^2 = 0 + 1 = 1
   - The coordinates satisfy the equation, so point D is on the unit circle.

In conclusion, all of the given points (A, B, C, and D) are on the unit circle because their coordinates satisfy the equation x^2 + y^2 = 1.

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Answer:

B

Step-by-step explanation:

the way i work it out is if you take the product and power it to the third you can easily find out which answer is correct. another way, if you don't have a calculator is to look at the last digit in the number in the square root sign.

For example, 3 square root 64 equals 8. you would look at the 4 and try to find 3 numbers that end in 4 OR is divisible three times by the number. 64 is exactly divisible by 4 only 3 times so you know that it can't be 8.

hope this helps!

The distribution does not represent a probability distribution. The correct option is b.

A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).

In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.

Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.

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