10y + 21 = 951 what is the variable of y

The slope of the line that passes through the given points (-5, 6) and (-2, 4) as required in the task content is; -2 / 3.

It follows from the task content that the slope of the line that passes through the given points; (-5,6) and (-2,4) be determined as required.

On this note, since the slope, otherwise termed the average rate of change is given by the formula;

Slope, m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Therefore, given the points; (-5, 6) and (-2, 4), the required slope of the line is;

m = ( 4 - 6 ) / ( -2 - (-5) )

m = -2 / (-2 + 5)

m = -2 / 3

Therefore, the required slope of the line which passes through the given points is; -2 / 3.

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The measure of angle ∠C = 35°, 2x = 50° and x = 25°.

In Euclidean geometry, an angle is made up of two rays that share a terminal and are referred to as the angle's sides and vertices, respectively.

Angles can be formed by two rays in the plane where they are placed.

Additionally, when two planes overlap, angles are created.

Dihedral angles are what they are called.

So, m∠ABC:

We know that ∠C in triangle ABC = 180 - 145 = 35°

Now, the measure of  m∠ABC:

95 + 35 + 2x = 180

130 + 2x = 180

2x = 180 - 130

2x = 50°

x = 50/2

x = 25°

Therefore, the measure of angle ∠C = 35°, 2x = 50° and x = 25°.

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Answer:

4

Step-by-step explanation:

If I'm reading it correctly, x is multiplied by 6 to equal y.

So, 3(x) x 6 = 18(y)

Therefore, 24/6 = 4 OR,  4(x) x 6 = 24(y)

The number based on the information given is 3.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario

In this case, three times the difference of four times a number and two decreased by the sum of the number and five equals 22.

Let the number be x

3(4x - 2) - (x + 5) = 22

12x - 6 - x - 5 = 22

11x - 11 = 22

11x = 22 + 11

11x = 33

Divide

x = 33 / 11

x = 3.

The number is 3

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Answer:

2.94

Step-by-step explanation:

I just found 1%

Which is 0.98

then times that by 3 which is 2.94

hope that helps!

Answer:

90-15=75

75/90= 5/6

ans: 5/6

1/6

We can combine the two numbers together to get the fraction we are looking for:

15/90

By simplifying, we get:

1/6

We get this answer by dividing the highest possible number by both fractions. In this case, the number would be 15:

15 ÷ 15 = 1

90 ÷ 15 = 6

1/6

1/6

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Answer:

-6

Step-by-step explanation:

-6

There is an 8.1% probability that any given distance will exceed 212.50 cm.

A probability is a numerical representation of the likelihood or chance that a specific event will take place.

Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

I frequently remind kids that we can express probabilities as ratios, percentages, fractions, or decimals so they are aware of the variety of ways we express odds.

So, the probability that the individual distance is greater:

z = 212.50-200/8.9 = 1.4

Looking up 1.4 in the normal distribution table:

P(z>1.4) = 1 - 0.9192 = 0.0808

= 8.1%

Therefore, there is an 8.1% probability that any given distance will exceed 212.50 cm.

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Complete question:
The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.9 cm.

a. find the probability that an individual distance is greater than 212.50 cm.

The coefficient in the expression is 25.

Given is the following expression -

f(p, q) = 25pq

The coefficient in the expression is 25.

Therefore, the coefficient in the expression is 25.

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Answer:

25

Step-by-step explanation:

Answer:

A. Can be written in a fraction.

Step-by-step explanation:

Do you need any help..

Rational number can be any number that can also be wrote as a ratio or fraction of two integers would be commonly known as a rational number…

Answer:208

Step-by-step explanation:

204+206+208.

Step-by-step explanation:

let the even numbers be :

x+(2+x)+(4+x)

so 3x+6=618

3x=618-6

3x/3=612/3

x=204

The range of horn lengths for the middle 95% of Texas Longhorn cattle is (51 inches, 69 inches)

What is a normal distribution?

A continuous probability distribution for a real-valued random variable is called a normal distribution or a Gaussian distribution.

Here, we have

Given:

Horn lengths of texas longhorn cattle are normally distributed

The mean horn spread:  μ = 60 inches

With a standard deviation:  σ = 4.5 inches

According to the normal distribution, the range for the middle 95% of the values is: (μ  - 2σ,  μ + 2σ)

Replacing the given values:

(60 inches  - 2(4.5 inches), 60 inches + 2(4.5 inches))

(60 inches  - 9 inches, 60 inches + 9 inches)

(51 inches, 69 inches)

Hence, the range of horn lengths for the middle 95% of Texas Longhorn cattle is (51 inches, 69 inches)

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The value of measure m∠ABC will be 24°.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

As per the given m∠ABD is a straight angle.

m∠ABD = 180°

m∠ABC  + m∠CBD = m∠ABD

6x - 60 + 8x + 16 = 180°

14x - 44 = 180

14x = 224

x = 14

Thus, m∠ABC = 6(14) - 60 = 24°

Hence "Measure ∠ABC will equal 24° in value".

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The correct question below,

Answer:

The slope of both equations is 7.  Yes, since the slopes are the same, the lines are parallel.

Step-by-step explanation:

For both equations, as the x increased by 1, the y increased by 7.

The answer is 54√2.

What is simplest radical form?

The radical form is fairly simple. It refers to the form of numbers or algebraic expressions below radicals. However, this can be improved by manipulating numbers or algebraic expressions in their radical form into what is called the simplest radical form. There are no longer any square, cube, fourth, or other roots to be found when a radical is simplified into its simplest possible form. It also entails eliminating any radicals from the fraction's denominator.

SSolving the equations,

=6√3 × 3√6

=( 6 × 3 )√( 6 × 3 )

=18√18

= 18√(2×9)

=18 ( √2 × √9 )

=(18 × 3)√2

= 54√2

Therefore, The answer is 54√2.

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Answer: 160

Step-by-step explanation: If I remember correctly, the formula for finding the rate is:

r = d/t

So, rate = 640/4

When I divided it, I got 160.

I hope this helped!

Answer:

25.6

Step-by-step explanation:

while i do not know how to do this is dod use a rate calculator so hopes this help!

The probability that X is greater than 53

What is probability ?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Formula for calculating the standard score or z score:

z = x-μ/σ, where:

z is the standard score

x is the raw score

μ is the population mean

σ is the population standard deviation

In this question: μ = 61 and σ = 8

The score is greater than 53

Let’s calculate the z score, for x = 53 and then find the probability for x greater than 53

z = (53 - 61)/8

  = -8 / 8

  = -1

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The value will be $371.39.

Compound interest is the interest you earn on interest. This can be illustrated by using basic math: if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25.

The formula to calculate the compound amount after t years is given by :-

A =P [tex](1 + R)^{T}[/tex]

where the interest rate is r and P represents the principal amount.

Given: $150 is the principal sum.

Interest is charged at a rate of 12%/0.12

A = 150 will be the amount compounded after 8 years.

A = 150 [tex]( 1 + 12 )^{8}[/tex]

A =371.3944

A = $371.39

Hence, the value of $150 after eight years if you earn 12 percent interest per year would be $371.39.

option a. is right

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Answer: sqrt 10

Step-by-step explanation:

3.16227...

○ (ƒ − g)(x) = x² − 11x +4 is the correct Answer

Answer:

ƒ(x) = 4x² – 5

g(x) = 3x² + 6x − 4.

(ƒ – g)(x) = ƒ(x)–g(x)

= 4x² – 5 –(3x² + 6x − 4)

= 4x²–5x –3x²–6x+4

= 4x²–3x² –5x–6x +4

= x² − 11x +4

[tex] [/tex]

Thank you

The speed of Zihao to open the door, when toilet is on 25 m in front of the door for 5 sec is 5m/sec.

The formula used to explain the relationship between speed, distance, and time is speed distance time. That is speed = distance time. Alternatively, you can calculate the time by dividing the distance traveled by the speed. You can figure out the third input if you know two of the inputs. For instance, the length of the line segment that connects two points equals the distance between them. The formula for finding the distance between two points in a two-dimensional plane—which can be expanded to discover the distance between two points in a three-dimensional plane as well—is derived using the Pythagoras theorem.

Given,

Distance=25m

Time=5sec

Speed?

We know that,

Speed=Distance/Time

Speed=25/5

Speed=5m/sec

Therefore, the speed of Zihao to open the door, when toilet is on 25 m in front of the door for 5 sec is 5m/sec.

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The area of the circle with the given radius would be = 12.56m².

A circle is defined as the figure that do not posses any form of edges or corners and is known as a two dimensional figure with a center of 360°.

The area of the circle can be gotten when the radius is given.

The formula used for the calculation of the area of a circle = πr²

Where,

Pie (π) = 3.14 or 22/7

Radius (r) = 2 m

Area = 3.14 × 2²

= 3.14 ×4

= 12.56 m²

Therefore, the area of the given circle would be = 12.56m².

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Answer:

486

Step-by-step explanation:

area of a cube =6x²

length= 9

area=6×9²

=6×81

=486

the environmental protection agency (epa) rates the mean highway gas mileage of the 2013 ford edge to be 27 miles per gallon. assume the standard deviation is 3 miles per gallon. a rental car company buys 60 of these cars, 0.2979 is the probability that the average mileage of the fleet is less than 26 miles per gallon.

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A probability value between 0 and 1 represents an occurrence.

The four primary categories of probability are axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you might argue that it is the likelihood that a specific event will occur.

Given that,

μ =  27

σ =  3

n =  60

As we know,

= p ( 26  <  x(avg.)  < 26.8 )

= p (26  - 27 / 0.3873 ) < ( x(avg.)  - μ(avg.)x /σx(avg.) )  <  (26.8- 27/0.3873)

= p ( -1/ 0.3873  <  z < -0.2 / 0.3873 )

= p ( -2.5820 <  z  <  -0.5164 )

= p ( z  < -0.5164) - p ( z < -2.5820 )        

Using z table, we get -

= 0.3028- 0.0049

= 0.2979

Thus, probability = 0.2979

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The measure of angle n is 73°, the measure of angle m is 51° and the line p measures 24 cm.

The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side.

From the given figure, n is the midpoint of one side of the quadrilateral and m is the midpoint of other side of the quadrilateral.

Pair of opposite sides are parallel

Since, m and n are midpoints on two sides of quadrilateral, so the line passes through the midpoints is parallel to other two sides

Then, ∠n =73° and ∠m =51°

p = 1/2 ×48

⇒ p =24 cm

Therefore, the length of line p is 24 cm.

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