what is the midpoint of the line segment that joins -3/4 and 2 1/2

Step-by-step explanation:

A o option

-(-45)

hope it helps

Answer:

38 square feet

Step-by-step explanation:

How do we find the area of a circle?

  ❖ The area of a circle is πr², where r = radius. For this case, we're going

       to approximate pi as 3.14.

How do we find the radius given diameter?

  ❖ We are given the diameter of Claire's hot tub as 7 feet. The diameter

       is 2x the radius, so we divide 7 by 2 to get the radius, which is 3.5

       feet.

Solving

Therefore, the answer is 38 square feet. Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer: A-(-3,-2)   B-(-1,-4)    C-(1,1)    D-(-4,4)     E-(-2,1)     F-(0,2)    G-(4,0)

Step-by-step explanation

Answer:

(3, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 1

2x + 4y = 26

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

In the first one answer is r²

In second one answer is 3

Step-by-step explanation:

Yes it is Algebra with different powers

In first one (6r4+4r) +(__- 2r4 + 3r) = 4r4 + r2 + 7r

Like terms are added:

6r^4- 2r^4 + 4r  + 3r +____ = 4r^4 + r2+ 7r

4r^4+7r +___ = 4r^4 + r^2 + 7r

Therefore ___ = r^2

In second one:

(__ -8x - x^2)-(4x^2 -7 +6x) = -5x^2 +14x +10

Open the brackets

__  -8x - x^2-4x^2 +7 -6x = -5x^2 +14x +10

Add like terms

__ -14x -5x^2  + 7=  -5x^2 +14x +10

Therefore

___ + 7 = 10

___ = 10 -7 = 3

Answer:

-51/40

Step-by-step explanation:

Answer:

31,500

Step-by-step explanation:

Multiply the population density by area to get the total population in an area

Density = 15 per km²

Area = 1500 x 1.4 = 2100 km²

Population in 2100 km² = 15 x 2100 = 31,500

We would reject the null hypothesis in favor of the alternative hypothesis.

The null hypothesis (H0) is that the average number of classes per quarter for students is 2 or less. The alternative hypothesis (Ha) is that the average number of classes per quarter for students is greater than 2. We can express this as:

H0: μ ≤ 2 (mean number of classes per quarter)

Ha: μ > 2

Where μ represents the population mean. This hypothesis is based on the instructor's belief that students take more than 2 classes on average.

The significance level (alpha) is given as 0.01, which means that if the p-value of the test is less than 0.01, we would reject the null hypothesis in favor of the alternative hypothesis.

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As similarity theorem, the value of x that will make the triangles similar by SSS similarity theorem is 77.

Similarity theorem:

In math, similarity theorem refers the line segment splits two sides of a triangle into proportional segments if and only if the segment is parallel to the triangle's third side.

Given,

Here we need to find the t value of will make the triangles similar by the similarity theorem.

For example, we are told that the 2 triangles are similar by SSS theorem.

Here we know that, SSS means Side - Side -Side and it is a congruence theorem which states that the 3 corresponding sides of two triangles have same ratio, then we can say that the two triangles are congruent by SSS theorem

Therefore, in the triangles ,applying the SSS postulate gives;

=> x/35 = 44/20

Then by applying the multiplication property of equality, let us multiply both sides by 35 to get;

=> x = (44 * 35)/20

When we simplify this one then we get,

=> x = 77

Therefore, the value of x is 77.

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Answer:

X-intercepts: (15, 0)

Y-intercepts: (0, -6)

Step-by-step explanation:

Answer:

2. reflexive property

4. transitive property

5. By angle angle side

Hope this helps

ALL THE BEST!!

Answer:

$70.00

Step-by-step explanation:

Please find the attachment for detail

If one of the three machines breaks down before starting the service, it would take the remaining two machines longer to meet the demand. If each machine can produce the same amount of material, it would take each machine 24 hours / 3 machines = 8 hours to perform the entire service.

So, with two machines working, it would take each machine 8 hours / 2 machines = 4 hours to complete the job. Thus, the total time to meet the demand would be 4 hours * 2 machines = 8 hours.

Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.

In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.

Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.

A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).

Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.

Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).

Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.

By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.

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Answer:

The slope is 1/5 and the y-intercept is -7

Step-by-step explanation:

In point-slope form (y = mx + b), m is the slope and b is the y-intercept.

P(above average grades/boy) = P(above average grades). The correct option is B

The likelihood that a male will have grades above average is 23/37, or roughly 62%. 38/75, or almost 51%, of students are expected to have grades above average.

Statement A is untrue since the two probabilities do not equal one another. The probability of a guy having above-average grades is not the same as the probability of a student having above-average grades, hence Statement C is also untrue. Statement D is untrue since a boy's chance of being chosen is not the same as his chance of earning above-average grades.

Given that he was chosen, the likelihood of a boy obtaining above-average grades is the same as the likelihood that he will. This is so that the likelihood that a boy will have above-average grades is unaffected by the selecting procedure.

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Since 1 g is equal to 1000 mg, multiply 0.75 g by 1000 mg / 1 g to convert the given value to mg.

Since one tablet is 500 mg, multiply the obtained product by 1 tablet / 500 mg.

Thus, there must be 1.5 or 1 1/2 tablet.

Answer:

5x = 34.5

34.5 ÷ 5 = x

Answer:

That's cool

Step-by-step explanation:

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

The dimensions of the rectangular room are 6 meters by 4.3 meters.

Let's assume the width of the room is x meters. According to the given information, the length of the room is 1.4 times the width, which can be expressed as 1.4x meters.

The perimeter of a rectangle is calculated by adding the lengths of all its sides. In this case, the perimeter is given as 26 meters. We can set up the equation 2x + 2(1.4x) = 26 to represent the sum of the lengths of all four sides.

Simplifying the equation, we have 2x + 2.8x = 26, which combines to 4.8x = 26. Dividing both sides of the equation by 4.8 gives x ≈ 5.42.

Therefore, the width of the room is approximately 5.42 meters, and the length is 1.4 times that value, approximately 7.58 meters.

In conclusion, the dimensions of the rectangular room are approximately 6 meters by 4.3 meters.

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Answer:

factored form

Step-by-step explanation:

example

(x + 2)(x + 3) ← is an expression in factored form

= x² + 5x + 6 ← in expanded form

Answer:

Step-by-step explanation:

Factored form is opposite of expanded form.

More info:-

Expanded form:

Factored form:

Step-by-step explanation:

If the variable is n, then

(13×n)-5

13n-5

Answer:

13n - 5

Step-by-step explanation:

It will take approximately 427 months or 35 years and 7 months for a sum of Rs. 9400 to become Rs. 10951.8 at the rate of 3 2/3% per annum.

Let the principal amount be Rs. 9400, rate of interest be 3 2/3 % per annum and the final amount be Rs. 10951.8

To find: The time required to become Rs. 10951.8

Step 1: Calculation of Interest:

Earned interest = Final amount - Principal amount = Rs. 10951.8 - Rs. 9400 = Rs. 1551.8

Step 2: Calculation of Time:

Time = (100 * Earned interest) / (Principal * Rate * 12/100)

Here, Principal = Rs. 9400,Rate = 3 ,2/3% per annum = (11/3)% per annum,

Time = (100 * 1551.8) / (9400 * (11/3) * 12/100)

= 100 * 1551.8 / 9400 * 11/3 * 12/100

= 15518 / 3636

= 15518/3636*100/100

= 426.906 or 426.91

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The statement "The probability of making a type II error is not influenced by the group of answer choices effect size, sample size, alpha level, and gamma level" is false

In statistical hypothesis testing, the probability of making a type II error refers to the likelihood of failing to reject a null hypothesis when it is actually false. This error occurs when the sample data fails to provide sufficient evidence to reject the null hypothesis, even though it is false. There are various factors that can influence the probability of making a type II error, such as the effect size, sample size, alpha level, and gamma level.

In this answer, we will examine the influence of each of these factors on the probability of making a type II error and state whether the statement "the probability of making a type II error is not influenced by the group of answer choices effect size, sample size, alpha level, and gamma level" is true or false.

The probability of making a type II error is denoted by the symbol "β" and is dependent on several factors. One of these factors is the effect size, which refers to the magnitude of the difference between the null hypothesis and the alternative hypothesis. The larger the effect size, the smaller the probability of making a type II error, as the sample data is more likely to provide evidence against the null hypothesis.

Another factor that can influence the probability of making a type II error is the sample size. A larger sample size generally reduces the probability of making a type II error, as it increases the power of the test. Power is defined as the probability of rejecting the null hypothesis when it is actually false, and is denoted by the symbol "1-β". Therefore, a higher power means a lower probability of making a type II error.

The alpha level, denoted by the symbol "α", is the level of significance that is used to determine whether to reject the null hypothesis. It represents the probability of making a type I error, which occurs when the null hypothesis is rejected even though it is actually true. The alpha level is typically set at 0.05 or 0.01, and a lower alpha level generally results in a lower probability of making a type II error.

Finally, the gamma level, denoted by the symbol "γ", is the probability of accepting the null hypothesis when it is actually false. It is equal to 1-α, and a higher gamma level means a higher probability of making a type II error.

In summary, all of the factors mentioned - effect size, sample size, alpha level, and gamma level - can influence the probability of making a type II error. Therefore, the statement "the probability of making a type II error is not influenced by the group of answer choices effect size, sample size, alpha level, and gamma level" is false

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Complete Question

State true or false with explanation:

The probability of making a type ii error is not influenced by the: group of answer choices effect size, sample size, alpha level, gamma level.

Let x be the number of peaches purchased and y be the number of mangos purchased.

We want to write a system of inequalities that represents the given conditions:

1. Olivia has $15 to spend, so the total cost of the peaches and mangos must be less than or equal to $15:

2x + y ≤ 15

2. Olivia must buy no less than 8 peaches and mangos altogether, so the total number of peaches and mangos purchased must be greater than or equal to 8:

x + y ≥ 8

To solve this system of inequalities graphically, we can plot the lines corresponding to each inequality on the same graph and shade the region that satisfies both inequalities. The solution will be any point in the shaded region.

To plot the line 2x + y = 15, we can find the intercepts:

So we can plot the points (0, 15) and (7.5, 0), and draw a line passing through them.

To plot the line x + y = 8, we can find the intercepts:

So we can plot the points (0, 8) and (8, 0), and draw a line passing through them.

The shaded region that satisfies both inequalities is the region below the line 2x + y = 15 and above the line x + y = 8.

Here is a graph of the two lines and the shaded region:

    |           /

15 |         /

     |       /  .

     |     /    |

     |   /      |

     | /        |

-------+----------+------

      |          |

      |          |

      |          |

      |          |

  8  |----------+------

      0          8

The shaded region corresponds to the points that satisfy both inequalities, which include (2, 6), (3, 5), (4, 4), (5, 3), (6, 2), and (7, 1). Each of these points represents a possible combination of the number of peaches and mangos that Olivia can buy within her budget and the requirement to buy at least 8 peaches and mangos altogether.

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The relative maxima and relative minima of the function

f(x) = x^5 - 4x^3 + 3x^2 - 8x - 6

The relative minima and maxima is calculated

The procedure is done as follows

x^5 - 4x^3 + 3x^2 - 8x - 6

differentiating gives

5x^4 - 12x^2 + 6x - 8

solving the equation for the critical values are

x₁ = 0.176 + 0.73i

x₂ = 0.176 - 0.73i

x₃ = 1.518

x₄ = -1.871

The second derivative

5x^4 - 12x^2 + 6x - 8

differentiating gives

20x^3 - 24x + 6

substituting x = 1.58

20 * 1.58^3 - 24 * 1.58 + 6

= 46.966 (positive hence minima)

substituting x = -1.871

20 * -1.871^3 - 24 * -1.871 + 6

= -169.9 (negative hence maxima)

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The appropriate test statistic to test the hypotheses is 2.71. Hence, the correct option is D.

The appropriate test statistic to test the hypotheses is the z value. The z value is calculated using the formula:

z = (x - μ) / (σ / √n)

Where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

In this case, x = 6.65, μ = 6, σ = 1.5, and n = 39.

Plugging these values into the formula gives:

z = (6.65 - 6) / (1.5 / √39)
z = 0.65 / (1.5 / 6.24)
z = 0.65 / 0.24
z = 2.71

Therefore, the appropriate test statistic to test the hypotheses is 2.71, which corresponds to option D.

Note: The question is incomplete. The complete question probably is: A mail-order business prides itself in its ability to fill customers' orders in less than six calendar days, on average. Periodically, the operations manager selects a random sample of customer orders and determines the number of days required to fill the orders. On one occasion when a sample of 39 orders was selected, the average number of days was 6.65 with a population standard deviation of 1.5 days. calculate the appropriate test statistic to test the hypotheses. (z value). A) 4.54 B) 4.87 C) 1.76 D) 2.71.

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Answer:

1/274

Step-by-step explanation:

Solution 1: Use a fraction simplifier calculator :)

Solution 2: divide by 2 first, then test to find 13, and your there.

Answer: There are two answers ( just for explanation ) 1. 0.0036496350364964    2. 274

Step-by-step explanation:

1. If we do 26 divided by 7124 answer is = 0.0036496350364964  ( check the pic-div1, div2, div3 )

2. If we do 7124 divided by 26 answer is = 274 (check pics-div4, div5)