(4x² − 3x² + 7x + 2) ÷ (x-1/2)

i dont know i wish I could help.

Answer:

-2 to 2

Step-by-step explanation:

see there's the sign of absolute value around x

so even if we put a negative number in place of x we'll get a positive outcome.

for example,

|x| = 4

|x| = 3

and so on

so the actual domain of |x| reduces to => 0 to 4.

as you'll get the values of |x| in between 0 and 4 throughout -4 to 4.

where the smallest value is 0 and largest is 4.

for range,

I'll just put these smallest and largest values in place of x and solve for domain

y= |0| - 2

y = -2

y = |4| - 2

y= 4 - 2

y = 2

so, the range of the function becomes -2 to 2.

The probability of obtaining a sample mean greater than 60 from a random sample of 16 scores selected from a normal population with a mean of 65 and a standard deviation of 20 is approximately 0.8413 or 84.13%.

To calculate the probability of obtaining a sample mean greater than 60 from a random sample of 16 scores taken from a normal population with a mean of 65 and a standard deviation of 20, we can use the Central Limit Theorem.

The Central Limit Theorem states that the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In this case, we have a population mean (μ) of 65, a population standard deviation (σ) of 20, and a sample size (n) of 16.

First, we need to calculate the standard deviation of the sample mean (σm):

σm = σ / √n

= 20 / √16

= 20 / 4

= 5

Now, we can calculate the z-score, which measures how many standard deviations the sample mean is away from the population mean:

z = (x - μ) / σm

= (60 - 65) / 5

= -1

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of -1. The probability of obtaining a sample mean greater than 60 can be calculated as the complement of the probability associated with a z-score of -1.

P(sample mean > 60) = 1 - P(z < -1)

Looking up the z-score in a standard normal distribution table, we find that the probability associated with a z-score of -1 is approximately 0.1587.

P(sample mean > 60) = 1 - 0.1587

= 0.8413

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The probability of spinning a 3 or 8 on the spinner is 0.25, or 25%.

The probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the spinner has eight equal sectors, so there are eight possible outcomes. The event of spinning a 3 or 8 consists of two favorable outcomes. Therefore, the probability of spinning a 3 or 8 is 2/8 or 1/4, which is equivalent to 0.25 or 25%. The probability indicates the likelihood of the event occurring and ranges from 0 (impossible) to 1 (certain). In this scenario, there is a 25% chance of spinning a 3 or 8 on the spinner.

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The measurements are represented by lengths of a triangle's sides by -

The triangle's three sides must satisfy the following condition:

"The total of any two triangle sides must be larger than or equal here to third side of the triangle."

We have four options in this question, so we'll go through them one at a time.

Since (1+3)<7  in this case, a triangle cannot be formed.

Since (3+3)<7 in this case, a triangle cannot be formed.

In this instance, (3+7)>8, (3+8)>7, and ((7+8)>3

Thus, a triangle will be formed by these.

In this instance, (3+5)>7, (3+7)>5, and (5+7)>3

Thus, a triangle will be formed by these.

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The options for the question are attached.

Answer:

Step-by-step explanation:

M being midpoint of AB means:

\(x_B-x_M=x_M-x_A\qquad\quad\ \wedge\qquad y_B-y_M=y_M-y_A\\\\x_B-3=3-8\qquad\quad\wedge\qquad\quad y_B-(-2)=-2-4\\\\x_B-3=-5\qquad\quad\ \wedge\qquad\quad y_B+2=-6\\\\x_B=-5+3\qquad\quad\ \wedge\qquad\quad y_B=-6-2\\\\x_B=-2\qquad\qquad\ \wedge\qquad\qquad y_B=-8\)

Answer:

Step-by-step explanation:

98

Answer:

8

Step-by-step explanation:

Answer:

10388.04

Step-by-step explanation:

I used a calculator.. But nearest if its nearest cent it might be just 10388.

Answer:

cheating in entrance

Step-by-step explanation:

circumference: 14π

area: 49π

Answer:

nope

Step-by-step explanation:

Generally, the NEC® permits a fuse to carry 80 percent of its rating when it supplies a load that is not operated continuously. The correct option is b.

According to the National Electrical Code (NEC), a fuse is generally permitted to carry up to 80% of its rating when supplying a load that is not operated continuously. This provision is based on safety considerations and is intended to prevent the fuse from tripping prematurely during temporary or intermittent overloads.

Allowing a fuse to carry up to 80% of its rating ensures that it can handle short-term surges in current without blowing. This is important because many electrical devices and appliances draw higher currents when they are first turned on or during certain operations. Allowing the fuse to handle these temporary overloads helps avoid unnecessary interruptions in power supply.

By limiting the fuse to 80% of its rating, the NEC provides a safety margin. This margin accounts for factors such as variations in load characteristics, ambient temperature, and other operating conditions that may affect the actual current flowing through the fuse.

In summary, the NEC permits a fuse to carry up to 80% of its rating for non-continuous loads to accommodate temporary overloads while maintaining safety and reliability in electrical systems. Hence, b is the correct option.

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x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

Answer: \(\frac{2}{25}\) is the solution.

Step-by-step explanation;

Apply the property of fractions. Multiply the numerator with the numerator (1*2) and then the denominator with the denominator (5*5). This will give you: \(\frac{2}{25}\).

Their experimental design was Independent variable was contact plates placed on the tile for less than 5 seconds. Option D is the correct answer.

The independent variable is the factor that is being manipulated by the experimenter. In this case, the experimenter is manipulating the length of time the plates are on the tiles. The dependent variable is the factor that is being measured by the experimenter. In this case, the experimenter is measuring the amount of bacteria on the plates.

The control is a group of subjects that are not exposed to the independent variable. In this case, the control group is the floor tiles that have been inoculated with chicken broth. The control group is used to compare the results of the experimental group, which is the group of plates that have been dropped on the tiles.

The standardized variables are the factors that are kept the same for both the experimental group and the control group. In this case, the standardized variables are the type of food, the surface of the tiles, and the temperature of the room. These factors are kept the same so that the only difference between the two groups is the length of time the plates are on the tiles.

This experimental design is a well-controlled experiment because the experimenter has taken steps to ensure that the only difference between the two groups is the length of time the plates are on the tiles. This will allow the experimenter to make accurate conclusions about the effect of the independent variable on the dependent variable. Option D is the correct answer.

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The following question may be like this:

The Myth busters conducted an experiment to test the five second rule. Which of the following represented their experimental design?

The absolute Maximum of  f(t) = 7 cos t, −3π/2 ≤ t ≤ 3π/2 is 7 and the absolute Minimum of f(t) = 7 cos t, −3π/2 ≤ t ≤ 3π/2 is -7.

The function f(t) = 7 cos(t) has a period of 2π, which means that it repeats itself every 2π units. In the given interval, the function takes its maximum and minimum values at the endpoints of the interval and at the critical points where the derivative of the function is zero.

The critical points of f(t) in the interval −3π/2 ≤ t ≤ 3π/2 are t = −π/2, π/2, and 3π/2, where the derivative of the function f(t) is zero:

f'(t) = -7 sin(t) = 0

This occurs when sin(t) = 0, which implies that t = −π/2, π/2, and 3π/2.

Therefore, the absolute maximum and minimum of f(t) occur at the endpoints of the interval and the critical points, and are as follows:

Absolute maximum: f(π/2) = 7

Absolute minimum: f(−3π/2) = -7

So, the absolute maximum value of f(t) is 7, which occurs at t = π/2, and the absolute minimum value of f(t) is -7, which occurs at t = −3π/2.

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Answer:

One: x =  3/32

Two: y =  3/10

Step-by-step explanation:

One

y = k*x

1/4 = k* 1/8                    Multiply both sides by 8

8(1/4) = 8*k*(1/8)

8/4 = k

k = 2

=======================

3/16 = 2*x                      Divide by 2

3/32 = x

Two

y = 2/5

x = 1/3

2/5 = k * 1/3                   Multiply both sides by 5

2 = 5*k * 1/3

2 = 5/3 * k                     Multiply both sides by 3

6 = 5 * k                        Divide both sides by 5

6/5 = k

y = 6/5 * x

x = 1/4

y = 6/5 * 1/4

y = 6/20 = 3/10

Answer:

x+y= idk

Step-by-step explanation:

sorry i need the points

Answer:

15

Step-by-step explanation:

so you know that the hypotenuse for the triangle with "x"'s is 5 square root two, and because we know that the triangle is an isoceles triangle we know the other two side are equal and as a result x=5. Now for the next triangle it is 5 square root 2 on both sides and that is also an isoceles triangle and y is the hypotenuse so it 5 square root 2 times square root 2 which just becomes 2 so then it is 5 times 2 which is 10. So Y=10 and X=5 so X+Y=15.

The number of rabbits on the farm is 575 and the number of chickens is 425.

Here we have to find the number of rabbits and the number of chickens on the farm.

Data given:

Total number of rabbits and chicken = 1000

Number of legs = 3150

Let x be the number of rabbits and y be the number of chickens.

So we have

x + y = 1000 -------(1)

4x + 2y = 3150

A rabbit has 4 legs and a chicken has 2 legs.

2x + y = 1575 ------(2)

Substrating equation (1) from (2) we have:

x = 575

Now put in equation (1) we have:

575 + y = 1000

y = 425

Therefore the number of rabbits is 575 and the number of chickens is 425.

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The probability of getting 6 in second roll is 0.1388  and on 3rd roll is  0.1157.

What is probability?

The mathematical discipline of probability is concerned with numerical descriptions of the likelihood of an event or proposition being true. A number between 0 and 1 indicates the likelihood of an event, with 0 representing impossibility and 1 representing certainty. The more likely it is that an event will occur, the higher its probability. The tossing of a fair (unbiased) coin is an easy illustration.

Given

A fair die is rolled repeatedly until a six is obtained.

The probability of getting a 6 in the second toss is

P(X = 2) = (1 - 1/6)1/6

P(X = 2) = 5/36 = 0.1388

The probability of getting a 6 in the third toss is

P(X = 3) = (1 - 1/6)(1 - 1/6)1/6

P(X = 3) = 5/6 x 5/6 x 1/6

P(X = 3) = 25/216

P(X = 3) = 0.1157

Hence the  probability on second roll is 0.1388 and on third roll is 0.1157.

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Answer:

  9/64

Step-by-step explanation:

For similar triangles, the ratio of areas is the square of the ratio of corresponding sides.

__

The ratio of areas is (3/8)² = 9/64.

The point- slope form of the line is y-5 = -0.25(x+6).

What is line?

A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.

A line with a slope of –1/4 passes through the point (–6,5)

Any line in point - slope form can be written as

y - y₁= m(x -x₁) -------(1)

where,

y= y coordinate of second point

y₁ = y coordinate of first point

m= slope of the line

x= x coordinate of second point

x₁ = x coordinate of first point

In the given problem (x₁ , y₁) = (-6,5) and m= -1/4

Putting all these values in equation (1) we get,

y-5= (-1/4) (x- (-6))

⇒ y-5 = -0.25(x+6)

Hence, the point- slope form of the line is y-5 = -0.25(x+6).

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The cost of spices in US dollars is $5.45

The cost of spices in Indian rupees = 401.39 rupees

The exchange rate is

1 dollar:73.6500 rupees

So we have to exchange the Indian rupees to the US dollars

The cost of spices in Indian rupees = 401.39 rupees

The cost of spices in US dollars = The cost of spices in Indian rupees / 73.6500

Substitute the values in the equation and fins the cost of spices in US dollars

The cost of spices in US dollars = 401.39 / 73.6500

Divide the numbers

= $5.45

Hence, the cost of spices in US dollars is $5.45

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Answer:

11x-9

Step-by-step explanation:

5+2(5x-7)+x=5+10x-14+x

                   = 11x-9

Answer:

-9+11x

Step-by-step explanation:

5+2(5x-7)+x

multiply (5x-7) by 2

5+ 10x-14+x

add like terms

-9+11x

Answer:

Amanda:Win=2:5

5=115...7?

7×115=805

805/5=161

=£161 was shared

Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.

True

Answer:

-2

Step-by-step explanation:

Answer:

-2 the other person is also definitely right.

The mathematical average of the number of feet in a yard, seconds in a minutes and months in a year is 25.

In Mathematics and Geometry, the arithmetic average for any data set can be calculated by using the following formula:

Arithmetic average = [∑(x)]/n

Generally speaking, we have the following standard parameters;

∑(x) = 3 + 60 + 12

∑(x) = 75

Now, we can determine the arithmetic average as follows;

Arithmetic average = 75/3

Arithmetic average = 25.

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Answer: $75

Step-by-step explanation: First he bought tires for 45.00 dollars - later sold it as 65.0 dollars.

=> 65 - 45 = 20 dollars is his profit

he brought 3 rims for 85 dollar - then later sold it as 126 dollars

=> 126 - 85 = 41 dollars

He bought headlight for 5.00 dollars then sold it later for 15 dollars.

=> 15 - 5 = 10 dollars

Total expenses

=> 134

Total amount sold

=> 209

Profit => 209 - 134 = 75 dollars

Answer:

\(\huge\boxed{\$ \ 8.15}\)

Step-by-step explanation:

DVD Player = $49.95

DVD Holder = $19.95

Personal Stereo = $21.95

Total Cost of all the things:

=> $49.95 + $19.95 + $21.95

=> $91.85

Left Money:

=> $100 - $91.85

=> $8.15

Answer:

no they are not because 11, 14 is the only one that has a vertices

Step-by-step explanation: