A circle has a diameter of 26 mm. What Is Its circumference?

Use 3.14 for 1, and do not round your answer. Be sure to Include the correct unit in your answer

Answer: C

Step-by-step explanation: C

2 divided into 9 parts is 2/9.

Let's' explain this visually

Take this pizza, (image below)

Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.

Now 2/9=0.2 repeating!

This is how I got my answer sorry for the vague  explanation

Answer:

\(-65\)

Step-by-step explanation:

\((5d-7)(5d-6)\)

\(5d(5d)+5d(-6)-7(5d)-7(-6)\)

\(25d^2+-30d+-35d+42\)

\(25d^2+-65d+42\)

The missing coefficient of \(d\) is \(-65\).

Answer:

25d^2 -65d +42

Step-by-step explanation:

(5d-7)(5d-6)=25d^2+__d+42

FOIL

(5d-7)(5d-6)=

First  5d*5d = 25d^2

Outer  5d*-6 = -30d

Inner  -7*5d = -35d

Last = -7*-6 = 42

Add them together

25d^2 -30d -35d +42

25d^2 -65d +42

Answer:

1) 1.5 meters

2) 75° or (5/12)π radians

3) A = (5/12)πr^2

4) A = (5/12)π(1.5^2)

= 15π/16 square meters

= about 2.95 square meters

The conclusion of the symbolised argument is that N implies (O and P). This can be proven using conditional proof and the eighteen rules of inference, or using the rule of conjunctive simplification.

The symbolic argument's conclusion is that N implies (O and P). This can be demonstrated using conditional proof and the eighteen inference rules.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (3-6 Conditional Proof)

8. N ⊃ (O•P) (2,7 Disjunctive Syllogism)

This leads us to the conclusion that N implies (O and P).

Without the use of conditional proof, the identical result can be reached. The conjunctive simplification rule can be used to do this.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (Conjunctive Simplification)

Therefore, we have derived the conclusion that N implies (O and P).

Complete Question:

Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.

1. N ⊃ O

2. N ⊃ P / N ⊃ (O • P)

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Answer:

4700

Step-by-step explanation:

Answer:

441.60

Step-by-step explanation:

4 hours of 1.5 times is 38.40 + 19.20=57.60

40 hours at 9.60 = 384

384+ 57.60== 441.60

Given: y=10 then x=40

We use cross multiplication and set it up as a fraction.

So you just divide 10 on both sides to get x by itself.

Answer: x=128

In this case, the mean is 5.5 cm and the standard deviation is 0.1 cm. So, one standard deviation below the mean is 5.4 cm and one standard deviation above the mean is 5.6 cm. Therefore, about 68% of the data falls between 5.4 cm and 5.6 cm, which includes the range of 5.3 cm to 5.7 cm.

Your question involves a normal distribution with a mean (µ) of 5.5 cm and a standard deviation (σ) of 0.1 cm. You want to find the percentage of data between 5.3 cm and 5.7 cm.

First, we need to standardize the scores using the z-score formula: z = (x - µ) / σ

For 5.3 cm: z1 = (5.3 - 5.5) / 0.1 = -2
For 5.7 cm: z2 = (5.7 - 5.5) / 0.1 = 2

Now, referring to a standard normal distribution table or using a calculator, we find the area between these z-scores:

This can be determined using the empirical rule, also known as the 68-95-99.7 rule, which states that for a normal distribution:
- About 68% of the data falls within one standard deviation of the mean
- About 95% of the data falls within two standard deviations of the mean
- About 99.7% of the data falls within three standard deviations of the mean

P(-2 < z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Converting it to a percentage, we get 95.44%, which is approximately 95%.

So, the answer is A. 95%.

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The solution of the exponential expression will be a⁹.

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied.

Given exponential expression is (a⁻¹ x a⁻²)⁻³. The expression will be solved as below,

E = (a⁻¹ x a⁻²)⁻³

The base is the same and the variables are in multiplication with powers then the powers will be added,

E = (a⁻³)⁻³

E = a⁹

Therefore, the solution of the exponential expression will be a⁹.

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Answer:

uhm 0 degrees

Step-by-step explanation:

The value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.

Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The inverse trigonometric expression is given below.

⇒ sin⁻¹(sin 17°)

We know that the value of sin⁻¹(sin θ) is θ.

Then the value of the inverse trigonometric expression will be

⇒ sin⁻¹(sin 17°)

⇒ 17°

Thus, the value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.

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Answer:

the 25 stickers put in the book

Step-by-step explanation:

The computation of the number of stickers put in the book is shown below:

Given that

There is 200 pages in a sticker book

And, each sticker takes 1 by 8 page

So, the number of stickers put in the book is

= 200 × 1 ÷ 8

= 25 stickers

hence, the 25 stickers put in the book

Answer:

1,600 stickers put in the book

Step-by-step explanation:

The solution is

a) The total area of the rectangular grass area is 9600 feet²

b) The number of bags required is 9.6 bags

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular grass area be = A

Now , the equation will be

The length of the rectangular grass portion = 120 feet

The width of the rectangular grass portion = 80 feet

The area of the rectangular grass portion = Length x Width

Substituting the values in the equation , we get

The area of the rectangular grass portion A = 80 x 120

The area of the rectangular grass portion A = 9600 feet²

Now , each bag of the grass seed covers 1000 feet²

So , the number of bags required for the entire area = area of the rectangular grass portion A / each bag of the grass seed covers 1000 feet²

On simplifying the equation , we get

The number of bags required for the entire area = 9600 / 1000

The number of bags required for the entire area = 9.6 bags

Therefore , the number of bags required is 9.6 bags

Hence , the total area of the rectangular grass area is 9600 feet²

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Answer:

22

Step-by-step explanation:

Use a proportion.

30/15 = 44/x

30x = 15 × 44

2x = 44

x = 22

Answer:

22

Step-by-step explanation:

30 miles/ 15 sessions of tract practice

Per practice Jack is running a total of 2 miles.

So 44 miles/2 miles

22 sessions of track practice

Answer:

it should look a little like this...

Ah, he should get home at around 6:30 -7

Answer:

I can't read this

Step-by-step explanation:

Answer:

y < x - 1

Step-by-step explanation:

First, we need to find the equation to represent the linear line. Since the slope is 1 and the y-intercept is -1, after substituting the values to m and b respectively, we would get y = x - 1. Since the shaded area is below the linear line and the line is dotted, not solid, the correct inequality is y < x - 1.

The probability that Sam chooses either the day or the night shift is 0.93.

Probability is a fine conception that measures the liability or chance of an event being. It's expressed as a number between 0 and 1, with 0 indicating that an event is insolvable, and 1 indicating that an event is certain.

Given to the question.

Since Sam can only choose moreover the day shift or the night shift, and the events" choosing the day shift" and" choosing the night shift" are mutually exclusive (i.e., they cannot do at the same time), we can use the addition rule of probability to find the probability that Sam chooses either the day or the night shift.

The addition rule states that the probability of the union of two events A and B, denoted as P (A or B), is given by.

P (A or B) = P(A) P(B)- P (A and B)

where P (A and B) is the probability of the crossroad of events A and B.

Since Sam cannot choose both the day and night shift, P (A and B) = 0. thus, the probability that Sam chooses either the day or the night shift.

The addition rule states that the probability of the union of two events A and B, denoted as P (A or B), is given by:

P (A or B) = P(A) + P(B) - P (A and B)

where P (A and B) is the probability of the intersection of events A and B.

Since Sam cannot choose both the day and night shift, P (A and B) = 0. Therefore, the probability that Sam chooses either the day or the night shift is:

P (day or night) = P(day) + P(night) - P (day and night)

P (day or night) = 0.9 + 0.03 - 0

P (day or night) = 0.93

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Answer: 7/25

Step-by-step explanation: you have 7 yellow marbles and then to get your denominator you have to add up all the marbles from container a and container b and you will get 25.

7= yellow marbles

25= all the marbles in container a and b

hope this helps.

Answer:

Container B has a greater probability of picking a yellow marble.

Step-by-step explanation:

You may think that the answer is container A, but it's not. Container A has 15 total marbles. Container B has 10 marbles, and 70% of those 10 marbles, are yellow.

a) The formula for the probability density function f of X is f(x) = (1/15√(2π)) * e^(-((x-100)²/(2*15²))).

b) The fraction of the population with IQ between 75 and 80 is 437/100 or 4.37%.

(a) The probability density function f of a normally distributed variable X with mean μ and standard deviation σ can be expressed as:

f(x) = (1/σ√(2π)) * e^(-((x-μ)²/(2σ²)))

In this case, X represents a person's IQ score, μ = 100, and σ = 15. So, the formula for the probability density function f of X is:

f(x) = (1/15√(2π)) * e^(-((x-100)²/(2*15²)))

(b) To estimate the fraction of the population with IQ between 75 and 80, we need to find the area under the normal curve between these two values. We can use the standard normal distribution and the Z-score formula to calculate this area.

First, we need to standardize the values of 75 and 80 using the formula:

Z = (X - μ) / σ

where X is the IQ score, μ is the mean, and σ is the standard deviation.

So, for X = 75:

Z1 = (75 - 100) / 15 = -1.67

And for X = 80:

Z2 = (80 - 100) / 15 = -1.33

Using a standard normal distribution table or a calculator with the standard normal distribution function, we can find the probabilities associated with these Z-scores. The probability of Z being less than -1.33 is 0.0912, and the probability of Z being less than -1.67 is 0.0475.

So, the probability of Z being between -1.67 and -1.33 is:

P(-1.67 < Z < -1.33) = 0.0912 - 0.0475 = 0.0437

This means that approximately 4.37% or 437/100 of the population has an IQ score between 75 and 80.

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The given statement "The matrix A = (1 - 1) has the property that A2 = 0 and for a nonzero symmetric 2 x 2 matrix to have the property that A^2 = 0, where A^2 denotes the matrix product of A with itself." is not possible. Because A is never nonzero.

Suppose that there exists a nonzero symmetric 2 x 2 matrix A such that A^2 = 0. Then we have:

A^2 = AA =

\(\begin{pmatrix}a & b \b & c \\end{pmatrix}\begin{pmatrix}a & b \b & c \\end{pmatrix}\begin{pmatrix}a^2 + b^2 & ab + bc \ab + bc & b^2 + c^2 \\end{pmatrix}\begin{pmatrix}0 & 0 \0 & 0 \\end{pmatrix}= 0\)

Since A is symmetric, we have b = b, and therefore the upper-right and lower-left entries of A^2 are equal. This implies that ab + bc = 0. But since A is nonzero, at least one of a, b, or c must be nonzero, so we can divide both sides of this equation by that nonzero entry without loss of generality. If b ≠ 0, then we can divide by b to obtain a + c = 0. If b = 0, then we must have a = c = 0 since A is nonzero and symmetric.

In either case, we have a + c = 0. But this means that the diagonal entries of A^2 must be zero as well, which contradicts the assumption that A is nonzero. Therefore, there can be no nonzero symmetric 2 x 2 matrix A such that A^2 = 0.

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Answer:

166,460 doctors registered.

Step-by-step explanation:

32.2% -------- 53,600 female doctors

100% --------          X

X * 32.2% = 100% * 53,600

X = (100% * 53,600) / 32.2%

X = 166,460 doctors

Answer:

26

Step-by-step explanation:

Answer:

126%

# to % = multiply by 100

1.26 * 100 = 126%

Answer:The Answer is Answer is B

The term 5280 represents the number of feet in a mile in this relationship y=5,280x.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The linear equation is:

y=5,280x

The number 5,280 here represents the number of feet in a mile in this connection.

The equation is calculated:

Since Y=5,280x, the equation

It gives the quantity, y, of feet in x miles.

We may conclude that 5,280 represents the number of feet in a mile in this relationship.

Thus, the term 5280 represents the number of feet in a mile in this relationship y=5,280x.

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Using trigonometric functions, we can  find a side length of a right triangle with an angle and a side.

Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.

Trigonometric ratios can be computed either using the provided acute angle or by calculating the ratios of the right-angled triangle's sides.

You can determine the hypotenuse by dividing the length of the side by sin(θ) if you have an angle and the side opposite to it. Alternatively, to find the length of the side next to the angle, divide the length by tan(θ).

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Answer:

Read explanation

Step-by-step explanation:

Left page

1. (b+4)^2

2. (a-10c)^2

3. (x+2)^2

4. (3d-1)^2

5. (2n+3x)

Right page

1.(m-4)(m+3)

2.(3x+2)(x+2)

3.(b+9)(b-3)

4.(c+5)(c+7)

5.(a-10c)^2 (by the way, same as left page 2)

Answer:

SA = 10,800 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 40

w = 60

h = 30

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 60(40) + 30(40) + 30(60) )

SA = 2 ( 2400 + 1200 + 1800 )

SA = 2 ( 5400 )

SA = 10,800 ft²

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