Pls help
, I really need an answer for this rn

The slope of the two points passing through points  (​12,10​) and ​(30​,25​) will be 5 / 6.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. the slope is defined as the ratio of the rise to the run.

Given that points ​(​12,10​) and ​(30​,25​) form a proportional relationship.

The slope of the line passing through the two points will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 25-10 ) / ( 30-12 )

Slope = 15 / 18

Slope = 5 / 6

Therefore, the slope of the two points passing through points  (​12,10​) and ​(30​,25​) will be 5 / 6.

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If multiplying 2 negative integers then it's a positive

If multiplying 2 positive integers it's positive

Answer: I hope this is helpful

Step-by-step explanation:

The proceeding pattern is summarized in the following rule for multiplying integers. Rule for Multiplying Two Integers: TO MULTIPLY INTEGERS WITH THE SAME SIGN, multiply the absolute value of the factors. The product is positive.

We will use certain constraints to imitate the repetition of the process as mentioned below

To simulate one repetition of the procedure using random digits, we shall perform as follows:

from a line of the random digits table, ten one and two-digit numbers could be selected with the following conditions;

1. skipping repeated numbers

2. skipping numbers from 77    to 99  

here the numbers 01   to 12   i.e. first-class passengers in the group of selected random numbers are to be counted.

As we know, numbers represent first-class passengers while numbers to represent coach-class people.

Hence, using this we can use random digits

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The proportion is not equal to 0.04.

The test statistic

Z =  1.149

What is the random sample?

A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen.

Since the calculated value of Z =  1.149 is less than 1.96 at 5% (0.05) level of significance.

The null hypothesis is accepted

Hence the proportion is not equal to 0.04

Given data a random sample of 300 circuits is tested, revealing 17 defectives.

The proportion of success

P = 17 / 300 = 0.056                                    

Null hypothesis:- H₀ = P ≠0.04

Alternative hypothesis:- H₁ = P =0.04

Q = 1-P = 1-0.04=0.96

Level of significance ∝ =0.05

The test statistic

[tex]z = \frac{p -P}{\sqrt{PQ/n} }[/tex]

now substitute all values, and we get

on calculation, Z =  1.149

Since the calculated value of Z =  1.149 is less than 1.96 at a 5% (0.05) level of significance.

The null hypothesis is accepted.

Hence the proportion is not equal to 0.04.

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The probability that at least one client will disclose a food allergy will be 0.6323 when the percentage of customers who will disclose a food allergy is 0.08.

Given that.

The percentage of customers who will disclose a food allergy is 0.08

At Ying Ying's bakery, 121 people place orders on a single day.

We can utilize the binomial distribution if we believe that each of the 12 clients has an equal probability of reporting a food allergy.

Formula for Binomial probability distribution:

P(X=x)=ⁿCₓpˣ(1-p)ⁿ⁻ˣ

Where P(x)= probability of getting success in x trials,

n= sample size ,

p represents the probability that each event will succeed.

As stated, we have n=12

p=0.08

Let x signify that the client will disclose a food allergy.

Following that, the probability that at least one client will disclose a food allergy will be:

P(x≥1)=1-P(x<1)

=1-P(x=0)

=1-¹²C₀(0.08)⁰(1-0.08)¹²⁻⁰

=1-(1)(0.12)¹²

=1-0.3677

=0.6323

Therefore, the probability that at least one client will disclose a food allergy will be 0.6323 when the percentage of customers who will disclose a food allergy is 0.08.

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To find points on the line y = mx + b, choose x and solve the equation for y, or. choose y and solve for x.

When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.

The equation of the line is written in the slope-intercept form, which is:

y = mx + b, where m represents the slope and b represents the y-intercept.

Finding the distance from the known endpoint to the midpoint and then applying the same transformation to the midpoint is the quickest way to locate the missing endpoint. The x-coordinate changes in this situation from 4 to 2, or down by 2, so the new x-coordinate is 2-2 = 0.

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Answer:

-8 + 3 + x =  x - 5

Step-by-step explanation:

This is because X does not have a value & both 8 & 3 are constants making them computable

The surface area of the given pyramid 126 m².

What do you mean by surface area?

A solid object's surface area is a measurement of the overall space that the object's surface takes up.

According to data in the given question,

We have the given information:

A pyramid has a square base with edges that measure 6 meters, and a slant height of 7.5 meters.

Now, we need to determine the surface area of given pyramid,

The formula for a pyramid's surface area with a square base is:

[tex]SA=b^{2}+2*(bs)[/tex]

Where b is the base length and s is the slant height.

We have the following information for the stated situation,

b= 6 m

s= 7.5 m

Then, we will putting the given values in the above formula,

[tex]SA=b^{2}+2*(bs)[/tex]

[tex]SA=6^{2}+2*(6*7.5)\\SA=36+90\\SA=126m^{2}[/tex]

Therefore, the surface area is 126m².

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Answer:

Step-by-step explanation:

Answer 3700

Answer:

-76

each term is being subtracted from the preceding the next odd number

The laplace transform of f(t) is [tex]F(s)=\frac{1}{2s}-\frac{2w}{2(s^2+4w^2)}[/tex] and it's values exists for [tex]s=w\pm\sqrt{3}wi[/tex].

Given,

[tex]f(t)=sin^2(wt)\\\\\therefore sin^2x=\frac{1-cos2x}{2}\\\\f(t)=\frac{1-cos2wt}{2}[/tex]

applying laplace transform on both sides,

[tex]L[f(t)]=L[\frac{1-cos2wt}{2}]\\\\F(s)=\frac{1}{2s}-\frac{2w}{2(s^2+4w^2)}[/tex]

The range for values of s for which F(s) exists is when F(s)≥0

[tex]\frac{1}{2s}-\frac{2w}{2(s^2+4w^2)} \geq0\\\\\frac{1}{2s} \geq\frac{2w}{2(s^2+4w^2)}\\\\2(s^2+4w^2) \geq 2sw\\\\s^2-2sw+4w^2 \geq0[/tex]

using formula to find roots,

[tex]s=\frac{-(-2w)\pm\sqrt{(-2w^2)-4(4w^2)}}{2}\\\\s=\frac{-(-2w)\pm\sqrt{(12w^2}}{2}\\\\s=w\pm\sqrt{3}wi[/tex]

Thus,  the laplace transform of f(t) is [tex]F(s)=\frac{1}{2s}-\frac{2w}{2(s^2+4w^2)}[/tex] and it's values exists for [tex]s=w\pm\sqrt{3}wi[/tex].

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98% confidence Interval for the mean number of hours a student studies per week is (21.0208,18.9792)

mean x = 16

standard deviation σ = 2.4

sample size n = 65

z score for 98% = 2.576

Interval = x±z*s/

= 16±2.576*2.4/

= 16±2.576*0.39629

= 16±1.0208

Interval = (21.0208,18.9792)

Therefore 98% confidence Interval for the mean number of hours a student studies per week is (21.0208,18.9792).

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Option B, The center 95% of players had an average weight of 151 pounds.

Football players' weights have a mean of 200 pounds as well as a standard deviation of 25 pounds, which corresponds to a normal distribution.

So, let x represent a football player's weight.

X ≅ N(200, (25)²)

The minimal weight of the center 95% of the members is

P(X > 95) = P((95 - 200) ÷ 25) < (X - µ) ÷ σ)

P(X > 95) = P(-4.2 < z)

P(X > 95) = - P(z < -4.2)

P(X > 95) = 0.1512

The needed percentage is 0.1512 × 100 = 151.2 percent.

A probability distribution that is equal around the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

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Answer:

Solution = (2, 1.5)

Step-by-step explanation:

Step 1: Solve for y in 6x - 4y = 18

    1. 6x - 4y = 18 → -4y = -6x + 18 → y = 1.5x - 4.5

Step 2: Substitute 1.5x - 4.5 for y in -x - 6y = 7

    2. -x - 6(1.5x - 4.5) = 7

Step 3: Solve for x

    3. -x - 9x + 27 = 7 → -10x + 27 = -20 → -10x = -20 → x = 2

Step 4: Substitute 2 for x in -x - 6y = 7

    4. -(2) - 6y = 7

Step 5: Solve for y

    5. -2 - 6y = 7 → -6y = 9 → y = -1.5

Hope this helps you out :)

The solution of the system of equation are;

⇒ x = 6

⇒ y = - 7

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

4x + 2y = 10

x = y + 13

Now,

Since, The system of equations are,

⇒ 4x + 2y = 10  ..(i)

⇒ x = y + 13  

⇒ x - y = 13    ..(ii)

Multiply by 2 in equation (ii) and add with (i);

⇒ 2x - 2y + 4x + 2y = 26 + 10

⇒ 6x = 36

⇒ x = 6

And, x - y = 13

⇒ 6 - y = 13

⇒ 6 - 13 = y

⇒ y = - 7

Thus, The solution of the system of equation are;

⇒ x = 6

⇒ y = - 7

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Answer:

It's -10 degrees

Answer:

rhe general pattern in data is........

Step-by-step explanation:

.....

Answer:

∠RPQ = 105

∠R = 45

Step-by-step explanation:

Question 1

By intersecting chord theorem ? = (175 + 35) / 2

? = (175 + 35) / 2

? = 210 / 2

? = 105

(See image below)

Question 2

By intersecting secant theorem ∠R = (140 - 50)/2

∠R = (140 - 50)/2

∠R = 90/2

∠R = 45

(See image below)

Intersecting chord theorem : Corresponding angle equals sum of corresponding arcs divided by two

Intersecting secant theorem : The inscribed angle equals major arc minus minor arc divided by two

Answer:

21

Step-by-step explanation:

The amount added to each of the 3 sides is a rectangle 6.25 m by 1.5 m.

Then there are two square corners added that each one is 1.5 m by 1.5 m.

Total added area = 3 × 6.25 m × 1.5 m + 2 × 1.5 m × 1.5 m

Total added area = 28.125 m² + 4.5 m²

Total added area = 32.625 m²

The area of each tile is:

0.25 m × 0.25 m = 0.0625 m²

A box of tiles has 25 tiles. The total area covered by a box of tiles is:

25 × 0.0625 m² = 1.5625 m²

The number of boxes need is:

32.625 m² / 1.5625 m² = 20.88

Since 20.88 boxes are needed, but she needs to buy full boxes, she needs 21 boxes of tiles.

Answer: 21

For maximum area the wire should be bent in the form of circle  and for minimum area the wire should bent into equilateral triangle.

What is the area of any geometrical shape?

The area of a shape is the “space enclosed within the perimeter or within the boundary” of the given shape. We calculate the area for different shapes using math formulas.

Given that a piece of wire 10m long is cut into two pieces so now we have two wires with lengths of 5m and 5m.

One wire is bent into an equilateral so the perimeter of that triangle would be 3 m.

Perimeter = 3 m

3*side = 3 m

side = 1 m

Now the area of the equilateral triangle = [tex]A=\frac{\sqrt{3}}{4}\times (side)^2[/tex]

                                                                    A = 0.4330 m² -----(I)

Now the circumference of the circle = 5 m

                      2π×r = 5

                          r = 5/2π

                          r = 0.7957 m.

Now the area of the circle = π×r²

                                            = 3.14 × (0.7957)²

                                            = 1.988 m² --------(II)

From (I) and (II), we can say that

Area of the equilateral triangle < Area of the circle

Hence, for maximum area the wire should be bent in the form of circle  and for minimum area the wire should bent into equilateral triangle.

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What is your question dude???????

Answer:

21%

Step-by-step explanation:

Approximate number = 75 

exact number = 95error

approximate number - exact number| ÷ exact number error = |(75-95)| / 95 = |20| / 95 = 0.21percentage of error = 0.21 x 100% = 21%

The answer should be correct! Hope it helps!!! Mark as Brainliest. It would make my day! Thank you :)

The intersection of two curves is important because it marks the spot where the values of the two curves coincide. There are numerous applications for this.

When two lines meet at a point, an angle is created. An "angle" is the measurement of the "opening" between these two rays. It is symbolized by the character.

The circularity or rotation of an angle is often measured in degrees and radians. Angles are a common occurrence in daily life. Angles are used by engineers and architects to create highways, structures, and sports venues.

When two rays are linked at their ends, they create an angle in geometry.

The sides or arms of the angle are what are known as these rays. Read on to learn about the various components of an angle.

Hence, The intersection of two curves is important because it marks the spot where the values of the two curves coincide. There are numerous applications for this.

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the equation will be [tex]x^{7}-28x^{6}+322x^{5} -1960x^{4} +6769x^{3} -13132x^{2} +1306[/tex]

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

Now the simplest way to write an equation is to multiply all the factors.

The zeroes of the equation are 1,2,3,4,5,6,7.

The factors can be written as (x-1)* (x-2)*(x-3)*(x-4)*(x-5)*(x-6)*(x-7).

So the equation will be [tex]x^{7}-28x^{6}+322x^{5} -1960x^{4} +6769x^{3} -13132x^{2} +1306[/tex]

Hence, the equation will be [tex]x^{7}-28x^{6}+322x^{5} -1960x^{4} +6769x^{3} -13132x^{2} +1306[/tex]

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If Amanda stays on her current course, she will go 72,000 km in three years.

Given data,

In the first four months after purchasing a new car, Amanda Chicopee covered 8,000 kilometers. How many miles will Amanda log in three years if she continues on her path?

Here,

She drove 8000 km in 4 months.

⇒ In 1 month = 8000/4 = 2000 km

To find how many miles in 3 years,

⇒ In 36 months = 2000 * 36

                          = 72000 km

Hence, 72000 km will Amanda log in three years if she continues on her path.

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2. 2x-7=3 Addition Property

3. 2x=10  Division Property

4. x = 5

Answer:

I hope I helped

I have not been taught on this topic yet but I manage to answer the question if the answer is wrong it isn't my fault I haven't been taught yet.

I wish you a happy day

Step-by-step explanation:

1.)4x – 7 = 2x + 3

4x – 2x – 7 = 2x – 2x + 3 (subtraction property)

2x – 7 = 3

2x – 7 +7 = 3 + 7(addition property)

2x = 10(division property)

x = 5(reflexive property)

Answer:

y = x × 3, 12

Step-by-step explanation:

If a recipe for cheesecake requires 3 cups of sugar per batch, we can use this equation:

y = x × 3

Using this, we can determine how many cups are needed when we need to make 4 batches.

y = 4 × 3 = 12

You need 12 cups of sugar for 4 batches.

The angle measures in this problem are given as follows:

The sides of the mountains are parallel, which means that the angles of these sides have the same measures, as follows:

Then the measure of x is obtained considering that angles x, y and z form a ray, that is, the sum of their measures is of 180º, hence:

x + y + z = 180

x + 55 + 37 = 180

x = 180 - (55 + 37)

x = 88º.

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