What type of real numbers are these.

Answer:

b

Step-by-step explanation:

The angle subtended at the center of the arc is 102⁰

Recall that to find the length of an arc on a circle, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.  If the central angle is measured in degrees, we can use the formula L = r *, where r is the radius of the circle, is the central angle, and is the angle between the ends of the arc.

Lenght of arc = A/360 *2пr

A = angle at center = ?

п = 22/7 r = radius = 840 feet

⇒1500 = A/360  2 *22/7 * 840

1500 = 36960A/2520

3780000= 36960A

making A the subject we have

3780000/36960 = A

A = 102.27

A= 102⁰

The angle is 102⁰

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Answer:

The distance from point P to point V = 17 ft.

Step-by-step explanation:

A rectangular prism is simply a cuboid,

The image describing the cuboid described, as obtained from from internet is attached to this solution. (It is redrawn to avoid the solution being removed due to violation of community guidelines)

From the image, PR, PS and SR form a right angled triangle on the case of the cuboid.

With PR as the hypotenuse side, using Pythagoras theorem,

(PR)² = (PS)² + (PR)²

(PR)² = 12² + 9² = 144 + 81 = 225

PR = √225

PR = 15 ft.

On a second evaluation, the required length, PV, PR and RV form another right angled triangle with PV as the hypotenuse side, using Pythagoras theorem again,

(PV)² = (PR)² + (RV)²

(PV)² = 15² + 8² = 225 + 64 = 289

PV = √289

PV = 17 ft.

Hope this Helps!!!

Fuel consumption determines the number of gallons of fuel needed to travel a certain distance. To travel 2625 miles, the tank must be filled 75 / 15 = 5 times.

To solve the given problem, we need to make use of the concept of fuel consumption. This concept determines the number of gallons of fuel needed to travel a certain distance. Hence, let's first calculate the car's fuel consumption to travel one mile.

Step 1: Fuel consumption to travel one mile The car gives 35 miles per gallon. Hence, fuel consumption to travel one mile = 1 / 35 gallon = 0.0286 gallons

Step 2: Number of times the tank must be filled To travel 2625 miles, the total fuel required = 0.0286 x 2625 = 75 gallons Given, the tank capacity = 15 gallons Hence, the tank must be filled 75 / 15 = 5 times to travel 2625 miles.

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Answer:

B. The second choice.

Step-by-step explanation:

A function cannot have two points with the same x-coordinate.

If you graph two different points that have the same x-coordinate, they will both lie on the same vertical line. Therefore, if in a relation, more than one point lie on the same vertical line, then the relation is not a function.

Answer:

x= -2

Step-by-step explanation:

Hope this helps.

Answer:

-102 = (-8×6 -8×-4x) -5x ( this is only for explanation write only this way as given below)

-102 = -48+32x -5x

-102 = -48+27x

-102+48= 27x

-54 = 27x

x = -54/27

x = -2 Ans

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Circumference of the circle with the given diameter is 69.08 inches.

Circumference of a circle is defined as the total length of the boundary of the circle.

The concept is same as the perimeter for straight sided figures.

Given,

Diameter of the circle = 22 inches

Radius of the circle = Diameter / 2 = 22 / 2 = 11 inches

Circumference of a circle = 2πr, where r is the radius of the circle and the value of π is 3.14.

Circumference = 2 × 3.14 × 11 = 69.08 inches

Hence 69.08 inches is the circumference of the circle.

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Answer:

27/8 or 3⅜

Step-by-step explanation:

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By answering the presented question, we may conclude that Pythagorean 13.15. Therefore, the measure of the hypotenuse is approximately 13.2 cm

The basic Euclidean geometry relationship between a right triangle's three sides is known as the Pythagorean Theorem. This rule states that the areas of squares with the other two sides added together equal the area of the square with the hypotenuse side. The Pythagorean Theorem states that a right triangle's hypotenuse, which is the side opposite the right angle, equals the sum of its sides. It is sometimes written in general algebraic notation as a² + b² = c.

We can use the Pythagorean theorem to find the length of the hypotenuse of a right triangle:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

Substituting the given values, we get:

c² = 13² + 2²

c² = 169 + 4

c² = 173

Taking the square root of both sides, we get:

c = √173

Using a calculator, we get

c ≈ 13.15

Rounding to the nearest tenth, we get:

c ≈ 13.2 cm

Therefore, the length of the hypotenuse is approximately 13.2 cm.

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Answer: 84 ft

Step-by-step explanation:

First, split the shape into a rectangle and triangle

Then find the dimensions for the shape

Find the area for the rectangle and triangle

formula for the rectangle would be Length(8) multiplied by Width(6) L*W

The area of the rectangle would be 48

Then find the area of the triangle

Formula for triangle would be Length(6) [14-8 is how I got this number] then multiply that by width (6) finally divide you answer by 2 L*W/2, and your answer would be 36

To finally find your final answer add 36 and 48

Answer:

Step-by-step explanation:

The dotted line shows where you can find the area of two different shapes in order to find the total area. There is a rectangle and a triangle.

Rectangle:

A= lxw

l=6

w = 8

6*8=48

Triangle:

A= (lxw)/2

l=6

w= 6 (14-8=6; Subract the total length of the shape by the given length to find whats missing)

(6*6)/2=18

Add 48 and 18 to get the combined area of both shapes.

(48+18=66 sq ft)

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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Answer:

a) There are 25 pencils of other colour in the bag.

b) P(Blue) = 3/7

Step-by-step explanation:

A bag contains 70 pencils out of which 15 are green and 30 are blue.

a) How many pencils of other colour are in the bag?

This is calculated as:

70 - (15 + 30)

= 70 - 45

= 25 pencils

Hence, there are 25 pencils of other colour in the bag.

b) A pencil is selected from a bag at random .What is the probability that it is blue?

P(Blue) = Number of Blue pencils/Total number of Pencils

P(Blue) = 30/70

P(Blue) = 3/7

No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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Given that Charlotte ran 1.25 miles, let's represent this distance as a fraction.

To write this as a fraction, we have:

First step:

Divide the decimal by 1

Second step:

Multiply the numerator and denominator by 100, because it has 2 decimal places (hundreth)

To simplify this, we have:

ANSWER:

This is the complement of both flips coming up heads, so the probability is 3/4. The expected value of X is -$1.

To find the expected value of the random variable X, we need to calculate the weighted average of its possible outcomes based on their probabilities.

Given:

If both flips come up heads, X = -7 (loss of $7)

If at least one flip comes up tails, X = 1 (win of $1)

Let's calculate the probabilities of each outcome:

Both flips come up heads:

The probability of getting a head on a fair coin flip is 1/2.

Since the flips are independent events, the probability of getting two heads in a row is (1/2) * (1/2) = 1/4.

At least one flip comes up tails:

This is the complement of both flips coming up heads, so the probability is 1 - 1/4 = 3/4.

Now, let's calculate the expected value of X:

E(X) = (-7) * P(X = -7) + (1) * P(X = 1)

E(X) = (-7) * (1/4) + (1) * (3/4)

= -7/4 + 3/4

= -4/4

= -1

Therefore, the expected value of X is -$1.

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The volume of the right prism include the following: 8,640 in³.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

Next, we would determine the area of the triangle at the base of the right prism as follows:

Base area = 1/2 × ( 36 × 12)

Base area = 1/2 × 432

Base area = 216 in².

Now, we can calculate the the volume of this right prism:

Volume = base area × height

Volume = 216 × 40

Volume = 8,640 in³.

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The right triangle, like the other triangles, has three sides, three vertices, and three angles. The difference between the other triangles and the right triangle is that the right triangle has a 90  angle.

To find missing angles and sides and round to the nearest tenth, you can use different methods depending on the given information and the type of triangle or shape involved.

Some common methods include:
Trigonometric ratios (sine, cosine, tangent) for right triangles.
Angle sum property or exterior angle property for triangles.
Pythagorean theorem for right triangles.
Law of cosines and law of sines for non-right triangles.
To help find the missing angles and sides of a triangle, you need certain information about the triangle, such as known angle and side measurements, or information about the properties of the triangle.

Without this information, no concrete calculations can be made.

Provide the necessary information or describe the problem in more detail and we will help you find the missing corners and sides of the triangle and round it to tenths.

Remember to always check if any additional information is given, such as side lengths or angles ' 7 and to apply the appropriate formula or property to find the missing value.

Round your answer to the nearest tenth as specified.

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128÷32

The answer is A-4

Answer: Hi so the answer would be  4 8 or 16 bcause that is less than the 64. So since our first number is 2 our second is 32 and our last one is 128 we have to figure out the pattern it muliptlies in.  We have to see is 4,8 or 16 could make them mulitple in that number. Long answer short the answer is 8. 128 diveded by 2 is 64. 64 is 32x 2. So that is the answer you are missing.They all get by 4. Im not 10% sure but I know it is 4,or 8.

They are can go in all of the numbers though so it would be any once again 64 is higher than 32 so it is most likely 8,4, or 16

My answer would be the answer  is 4.

Step-by-step explanation:

Byee stay safe: Wear your mask, drink water and stan bts

also can I have brainliest :)

Answer:

$12.50 per hour

Step-by-step explanation:

Elon is paid by the hour. He earned $50 for a 4 hour workday. How much does he earn in one hour?

50 / 4 = $12.50 per hour

Answer: 289feet²

Step-by-step explanation: =17 X 17 (17²) so 289feet² and the units is square because we are finding the area . Hope it helps you .

1. Three examples of situations where consistency is important:

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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A researcher conducted an independent groups t test. There were 30 participants in this study.

The number of participants in the study is given by the degrees of freedom (df) for the t-test, which is calculated as:

df = n1 + n2 - 2

where n1 and n2 are the sample sizes for the two groups being compared.

In this case, we are not given the sample sizes directly, but we are given the t-value and the degrees of freedom. We can use a t-table or a statistical software to find the p-value associated with this t-value, and then use the p-value to calculate the degrees of freedom.

Assuming a two-tailed test with a significance level of 0.05, the p-value for a t-value of 3.77 and 30 degrees of freedom is approximately 0.001. This means that the probability of observing a t-value of 3.77 or more extreme under the null hypothesis (that there is no difference between the two groups) is 0.001.

Since the p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is a significant difference between the two groups. Therefore, we can assume that the sample sizes are reasonably large (typically, at least 20 for each group) and use the formula for degrees of freedom as:

df = n1 + n2 - 2 = 30

Therefore, there were 30 participants in this study.

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Each pound has 16 ounces in it.

20 pounds would be 16 x 20 ounces = 320 ounces.

If each bag has 5 ounces in it, that's 320 / 5 bags = 64 bags.

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Answer:

Step-by-step explanation:

Because of the nature of the information we are given, we have no choice but to use the equation

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

and solve for a.

We know by the info that the vertex is (0, 84). We also know that if the vertex is at the origin, and that the base is 42 feet wide, it spans 21 feet to the right of the origin and 21 feet to the left of the origin. That means that we have 2 coordinates from which we need to pick one for our x and y in the equation. I don't like negatives, so I am going to choose the coordinate (21, 0) as x and y. Because this parabola opens upside down, as archways of door openings do, our "a" value better come out algebraically as a negative. Let's see...From the vertex we have that h = 0 and k = 84. So filling in:

\(0=a(21-0)^2+84\) and simplifying a bit:

0 = 441a + 84 and

-84 = 441a so

\(a=-\frac{84}{441}=-\frac{4}{21}\) Good, a is negative. Your equation is, then:

\(y=-\frac{4}{21}x^2+84\)

Answer:

x² = -21y

Step-by-step explanation:

THIS IS THE RIGHT ANSWER I TOOK THE TEST

Answer:

Straight line when graphed.

Can be written in the form y=mx+b

Constant rate of change

Answer:

The first one is: Graphed

The middle one: y =  Mx + b

The Last one:  Constant

Hope that helps!

Answer:

the awnse is 2 i hope i helped

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3 x 4 / 6

3 x 4 = 12

12 / 6 = 2

PEMDAS

M - multiplication

D - division

Multiplication comes before division.

Answer:

10n² + 3n + 7

Step-by-step explanation:

2A - 3B = 2.( -1 + 5n² + 9) - 3.(3 - n)

= -2 + 10n² + 18 - (9 - 3n)

= 10n² + 16 -9 + 3n

= 10n² + 3n +7

Using the standard z table, a 95% confidence interval for p is (0.5327,0.6173).

In the given question,

A poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate.

We have to find a 95% confidence interval for p.

From the question, x=302, n=525

So estimation point,

P=x/n

P=302/525

P=0.575

Now the z value of 95% confidence interval is 1.960 using the standard z table.

Margin of Error (E)=z×√{P(1−P)}/n

Now putting the value

E=1.960×√{0.575(1−0.575)}/525

E=1.960×√(0.575×0.425)/525

E=1.960×√0.244/525

E=1.960×√0.000465

E=1.960×0.0216

E=0.0423

At 95% confidence interval for p is

P−E ≤ p ≤ P+E

Now putting the value

0.575−0.0423≤ p ≤0.575+0.0423

0.5327≤ p ≤0.6173

Hence, a 95% confidence interval for p is (0.5327,0.6173).

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The value of x when y = 37.5 if y varies directly as x and y = 5 when x = 0.4 is 3

y = k × x

Where,

k = constant of proportionality

If y = 5 when x = 0.4

y = k × x

5 = k × 0.4

5 = 0.4k

divide both sides by 0.4

k = 5/0.4

k = 12.5

If y = 37.5, find x

y = k × x

37.5 = 12.5 × x

37.5 = 12.5x

divide both sides by 12.5

x = 37.5 / 12.5

x = 3

Therefore, the value of x when y = 37.5 is 3

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The value of x from y is x = 3

From the question, we have the following parameters that can be used in our computation:

y varies directly as x and y = 5 when x = 0.4,

The equation of direct variation is

k = y/x

So, we have

k = 5/0.4

Evaluate

k = 12.5

So, we have

y/x = 12.5

When y = 37.5. we have

37.5/x = 12.5

Solve for x

x = 3

Hence, the solution is x  3

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