Calculate the perimeter of a circle of radius 140mm using the value of pie as 22/7

Given that the fraction is 1/36

And we need to find the equivalent ones.

Explanation-

So first we will solve all the options and then we will get the required answer.

If we shift power from the numerator to the denominator then the sign of the number n the power gets changed and vice-versa.

Then,

Hence,

The final answer is option 2, 3, and6

Answer:

7.1 cm

Step-by-step explanation:

Answer:

7.07 cm

Step-by-step explanation:

a. The sampling distribution of p is normal distribution. b. The probability of obtaining x = 790 or more individuals with the characteristic is 0.0.

a. The sampling distribution of p is approximately normal distribution with a mean of p = 0.76 and a standard deviation of sqrt((p(1-p))/n) = sqrt((0.76(1-0.76))/1000) = 0.0184.

b. To find the probability of obtaining x = 790 or more individuals with the characteristic, we need to calculate the z-score and look up the corresponding probability in the standard normal distribution table.

z = (790 - np) / sqrt(np(1-p)) = (790 - 1000(0.76)) / sqrt(1000(0.76)(1-0.76)) = -6.52

Looking up the z-score of -6.52 in the standard normal distribution table, we find that the probability is extremely low, approximately 0.0.

Therefore, the exact probability of obtaining x = 790 or more individuals with the characteristic is essentially 0.0.

Note: The question is incomplete. The complete question probably is: Suppose a simple random sample of size n = 1000 is obtained from a population whose size is N = 1,000,000 and whose population proportion with a specified characteristic is p = 0.76. a. Describe the sampling distribution of p. b. What is the probability of obtaining x = 790 or more individuals with the characteristic?

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To find the equation for the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k, we can use the formula for the equation of a plane which is Ax + By + Cz = D.

The equation of the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k is:
6x + 2y + 7z = 77

This is further explained as follows:

The equation of a plane is given by:
Ax + By + Cz = D
where A, B, and C are the components of the normal vector, and D is a constant. To find A, B, and C, we can use the components of the given normal vector n=6i+2j+7k.

Therefore we have:
A = 6, B = 2, C = 7
Now, substitute the values of A, B, and C into the equation:
6x + 2y + 7z = D

To find the value of D, we can substitute the coordinates of the given point p0=(7,7,3) into the equation and solve for D. So, we have:
6(7) + 2(7) + 7(3) = D
42 + 14 + 21 = D
D = 77

Therefore, the equation of the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k is:

6x + 2y + 7z = 77

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Answer:

it would be 5x+2y=10 look at pic for math

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

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On solving the provided question, we can say that the equation that can be used to find the lengths of the congruent sides of an isosceles triangle, given the base and the perimeter, is: 2x + 12 = P

Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric form. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners. The points where the three sides meet are known as the triangle's corners. The product of three triangle angles is 180 degrees.

Let's call the length of each congruent side of the isosceles triangle "x".

Since the triangle has two congruent sides and a base, we know that the perimeter, P, is given by:

\(P = x + x + 12\\P = 2x + 12\\2x + 12 = 60\\2x = 48\\x = 24\)

Therefore, the lengths of the two congruent sides of the isosceles triangle are both 24 feet.

To summarize, the equation that can be used to find the lengths of the congruent sides of an isosceles triangle, given the base and the perimeter, is:

2x + 12 = P

where P is the perimeter and x is the length of each congruent side.

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a. The point estimate of p1 - p2 is (290/1000) - (396/1200) = 0.29 - 0.33 = -0.04.
b. To make a 98% confidence interval for p1 - p2, we first need to calculate the standard error.

SE = sqrt(p1_hat*(1-p1_hat)/n1 + p2_hat*(1-p2_hat)/n2)
where p1_hat = x1/n1 and p2_hat = x2/n2.
Substituting the given values, we get
SE = sqrt((290/1000)*(1-290/1000)/1000 + (396/1200)*(1-396/1200)/1200) = 0.0231
The 98% confidence interval for p1 - p2 is (-0.04 ± 2.33(0.0231)) = (-0.092, 0.012).
c. To show the rejection and nonrejection regions on the sampling distribution of pˆ1 - pˆ2, we need to first calculate the standard error of pˆ1 - pˆ2.
SE(pˆ1 - pˆ2) = sqrt(p_hat*(1-p_hat)*(1/n1 + 1/n2))
where p_hat = (x1 + x2)/(n1 + n2).
Substituting the given values, we get
SE(pˆ1 - pˆ2) = sqrt((290+396)/(1000+1200)*(1-(290+396)/(1000+1200))*(1/1000 + 1/1200)) = 0.0243
Using a significance level of 1%, the rejection region is pˆ1 - pˆ2 < -2.33(0.0243) = -0.0564. The nonrejection region is pˆ1 - pˆ2 ≥ -0.0564.
d. The value of the test statistic z for the test of part c is (pˆ1 - pˆ2 - 0) / SE(pˆ1 - pˆ2) = (-0.04 - 0) / 0.0243 = -1.646.
e. At a significance level of 1%, the critical value for a one-tailed test is -2.33. Since the calculated test statistic (-1.646) does not fall in the rejection region (less than -0.0564), we fail to reject the null hypothesis. Therefore, we cannot conclude that p1 is less than p2 at a significance level of 1%.

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Solve -x-(x-6)=8

Distribute the minus sign

-x-x+6=8

Solve and clear x

-2x+6=8

-2x=8-6

-2x=2

x=2/-2

x=-1

The statement is not always true; there are shapes where the area can be greater than the perimeter.

The statement that the perimeter of a shape will always be greater in value than the area of the shape is not universally true for all shapes. It depends on the specific shape in question.

In some cases, the perimeter of a shape can indeed be greater than its area. For example, consider a rectangle with sides of length 3 units and 5 units.

The perimeter of this rectangle is 2(3 + 5) = 16 units, while the area is 3 × 5 = 15 square units.

In this case, the perimeter is greater than the area.

However, there are also shapes where the area can be greater than the perimeter.

For instance, consider a circle with a radius of 1 unit.

The perimeter of this circle, which is the circumference, is 2π(1) = 2π units.

On the other hand, the area of the circle is \(\pi(1)^2 = \pi\) square units. Since π is approximately 3.14, in this case, the area (π) is greater than the perimeter (2π).

Therefore, it is incorrect to make a general statement that the perimeter of a shape will always be greater than the area.

The relationship between the perimeter and area of a shape depends on the specific properties and dimensions of that shape.

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Answer:

60%

Step-by-step explanation:

0.(6) is just not proper mathematical format.  

I will assume you meant 0.6.

Then the equivalent percentage would be 0.6(100%), or 60%

Answer:

I believe the answer is the second one

Step-by-step explanation:

Answer:

-1 1/2,-1,-1/2,0,1/2,1

Step-by-step explanation:

negatives always go to the least, even if they have a bigger number

Answer: 8 I’m order to meet goal

Step-by-step explanation: 25-9=16 16-8=8

Answer: 28°F

Step-by-step explanation:

Since in March the temperature is 38 °F warmer, we would simply do -10+38 which gives us 28. So the answer is 28°F

The value of x that makes the quadrilateral a parallelogram is

Consecutive Interior Angles: These are the angles that are on the same side of the transversal and inside the parallelogram.

They are supplementary, which means their sum is 180 degrees.

hence we have that

(5x - 7) + (x + 1) = 180

5x + x = 180 - 1 + 7

6x = 186

x = 186 / 6

x = 31

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Answer:

option 1

Tom will need to bring to the closing $54,341.27 He would need 12 and it would cost 50k.

The meaning down payment is a part of the full price paid at the time of purchase or delivery with the balance to be paid later.

We have given that,

Tom buys a condominium for $42,600.

Inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286

He makes a down payment of 15% and pays these closing costs to survey $225.

9% payments: $563.24

7% payments: $494.75.

Monthly savings: $69.49

9% total repaid: $2022,764.90  

7% total repaid: $148,423.63

Savings: $54,341.27

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Answer:

can you send a more clear photo its quite blurry

Answer:

£45.84375

Step-by-step explanation:

To top up the tank he needs:

1200 - 450 = 750 liters

Since the price of oil is 81.5p per liter and he gets a 7.5% discount, the discount per liter is:

81.5 x 7.5/100 = 6.1125p

Since he needs 750 liters, the discount in total is:

6.1125 x 750 = 4584.375p

Since 1p = £0.01

The discount he gets in £ is:

4584.375 x 0.01 = £45.84375

You will have to deliver $30,376.63 to closing to cover both the down payment and the loan points.

Given that you want to buy a house for $243,500, and you can get a loan for 90% of value, and you will also have to pay 2.75 points on the loan, to determine how much will you have to deliver to closing to cover both the down payment and the loan points, the following calculation must be made:

Therefore, you will have to deliver $30,376.63 to closing to cover both the down payment and the loan points.

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x = 7.5 cm is value of v by Pythagorean theorem.

What is the Pythagorean theorem ?

use Pythagorean theorem in triangle,

 8.5² = 4² + x²

 72.25 = 16 + x²

 72.25 - 16 = x²

   56.25  = x²

      x = √56.25

      x = 7.5 cm

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Answer:

see below

Step-by-step explanation:

yes because any rectangular prisms V=w*h*l . so if all 3 variables are the same, the volume must be the same

No, by equating the lengths and height of two rectangular prisms, we can't have the same volume.

Here, we have,

we know that,

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases.

Given that,

Badru claims that any two right rectangular prisms with the same length with, and height have the same volume.

Badru's claim is not correct, because the volume of a rectangular prism, is calculated by the product of its all three dimensions, that are; length, width and height.

If we will only equate length and height, still we will have different width that will make the volume different,

For, example :- Consider two rectangular prisms, with the same length and height 4 in and 6 in respectively, and widths 3 in and 6 in.

Now, the volume of a rectangular prism = L×W×H,

The volume of the rectangular prism with width 3 in = 4×6×3 = 72 in³

The volume of the rectangular prism with width 6 in = 4×6×6 = 144in³

We see, that both have same length and height even then their volumes are different.

Hence, Badru's claim is not correct.

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Answer:

B.

Step-by-step explanation:

The quickest and most fool-proof way to do this is to using a graphing calc to graph the given equations. When you do so, you should see that B is the right choice. You can also tell from the asymptotes. x cannot equal 1 or -1, so B.

Answer:

P =3Q +21

Step-by-step explanation:

Given: Rahim was asked to make p the subject of this formula

Q = p/3 - 7

He started his answer as follows

3Q = p - 21 hence p =

To Find, Complete Rahim's final answer.

Solution:

Q = p/3 - 7

Multiply both sides by 3

3Q = 3(p/3 - 7)

3Q = 3 × p/3 - 3 × 7

3Q = p - 21

Adding 21 both sides

3Q + 21 = p -21 +21

3Q + 21 = p

interchange sides

p = 3Q + 21

hence p =3Q +21

According to the Pew Research Center analysis of census data in 2012, 20% of American adults aged 25 and older had never been married.

If we select random samples from this population, we can calculate the proportion of adults who have never been married in each sample.
This finding indicates a significant proportion of single adults in this demographic group.

The Pew Research Center analyzed the census data and calculated the percentage of unmarried individuals within the specified age range. The sample selection was likely done randomly to ensure representativeness.

The analysis provides valuable insights into the marital status of American adults and offers a snapshot of the population at that particular time. It is worth noting that social and cultural factors, as well as individual choices, contribute to the varying proportions of married and unmarried individuals.

The Pew Research Center's analysis of census data in 2012 revealed that 20% of American adults aged 25 and older had never been married.

This finding sheds light on the prevalence of singlehood in this demographic group, highlighting the importance of understanding and addressing the unique needs and experiences of unmarried adults in society.

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Answer:

10.6

Step-by-step explanation:

radius = 1.5 height = 1.5 so it's 10.6

Answer:

10.6

Step-by-step explanation: