HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answer:

b

Step-by-step explanation:

Evaluate using the definition

n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)

where n ! = n(n - 1)(n - 2)(n - 3)..... × 3 × 2 × 1

Given

9\(C_{3}\)

= \(\frac{9!}{3!(9-3)!}\)

= \(\frac{9.8.7.6.5.4.3.2.2.1}{3!.6!}\)

= \(\frac{9.8.7.6.5.4.3.2.1}{3.2.1(6.5.4.3.2.1)}\)

Cancel 6.5.4.3.2.1 on numerator and denominator, leaving

= \(\frac{9.8.7}{3.2.1}\)

= \(\frac{504}{6}\)

= 84 → b

We have explained the ASA rule of congruency of the triangle

What is an ASA congruency of triangles?

ASA Congruence. Angle-Side-Angle. If two angles in one triangle are congruent to two angles of a second triangle, and also if the included sides are congruent, then the triangles are congruent.

If a triangle PQR is congruent to a triangle ABC, we write it as ∆ PQR ≅ ∆ ABC.

Note that when ∆ PQR ≅ ∆ ABC, then sides of ∆ PQR fall on corresponding equal sides of ∆ ABC and so is the case for the angles.

This means that PQ covers AB, QR covers BC, and RP covers CA;

∠P, ∠Q, and ∠R cover ∠A, ∠B, and ∠C respectively.

Also, between the vertices, there is an existence of one-one correspondence.

That is, P corresponds to A, Q corresponds to B, R corresponds to C and it is written as

P↔A, Q↔B, R↔C

Under this condition, the correspondence ∆ PQR ≅ ∆ ABC is true but is not correct for the correspondence ∆QRP ≅ ∆ ABC.

Hence, we have explained the ASA rule of congruency of the triangle

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Answer:

5.4 im pretty sure

Step-by-step explanation:

Answer:

Given :principle =Rs. 1200

rate of interest =9%

time =3yrs

we know that simple interest =PTR /100

=1200*9*3/100

=Rs. 324

Amount of the farmer will receive at the end of the 3 yrs =principle + interest

=1200+324=1524/-

The maximum number of sheets of paper that can fit in the tray is 625 of a printer paper tray is 5 cm deep one sheet of paper is 8x10 to the power of -3 cm thick

To determine the maximum number of sheets of paper that can fit in the tray, we need to find the total thickness of the paper.

Since one sheet of paper is 8x10^-3 cm thick, if we have n sheets of paper, the total thickness will be:

total thickness = n * 8x10^-3 cm

And since the tray is 5 cm deep, the maximum number of sheets of paper that can fit in the tray is given by:

n = 5 / (8x10^-3) = 5 / 0.008 = 625

So, the maximum number of sheets of paper that can fit in the tray is 625.

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Answer:

The answer is (-9, 5). Hope this helps.

Answer:

Step-by-step explanation:

Volume of cylinder = base area * height

height of the cylinder = Volume of the cylinder ÷ base area

                                   = 1205.76 ÷ 200.96

                                   = 6 in

Answer:

the answer to this is C. 129 cm

The t-distribution is the distribution that uses t-values to establish confidence intervals.t-distribution:

The t-distribution is a probability distribution that is widely used in hypothesis testing and confidence interval estimation. It's also known as the Student's t-distribution, and it's a variation of the normal distribution with heavier tails, which is ideal for working with small samples, low-variance populations, or unknown population variances.The t-distribution is commonly used in hypothesis testing to compare two sample means when the population standard deviation is unknown. When calculating confidence intervals for population means or differences between population means, the t-distribution is also used. The t-distribution is used in statistics when the sample size is small (n < 30) and the population standard deviation is unknown.

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Answer:

hope this helps you out good luck with your math

Any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

Within 2 standard deviations of the mean refers to the range that includes data points within two units of standard deviation from the mean. In this case, the mean is 180 and the standard deviation is 35.

To find the range within 2 standard deviations of the mean, we need to calculate the upper and lower bounds.

The upper bound can be found by adding 2 standard deviations (2 * 35 = 70) to the mean: 180 + 70 = 250.

The lower bound can be found by subtracting 2 standard deviations (2 * 35 = 70) from the mean: 180 - 70 = 110.

Therefore, any value between 110 and 250 is within 2 standard deviations of the mean. In other words, any data point between 110 and 250 is considered within this range.

It's important to note that this answer is specific to the given mean and standard deviation. If the mean and standard deviation were different, the range within 2 standard deviations would also be different.

Always calculate the upper and lower bounds based on the provided mean and standard deviation to determine the range within 2 standard deviations accurately.

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Answer:

Y=3x - 8

Step-by-step explanation:

Slope-intercept is Y=mx +b

Solve for  m using the formula  (y₂ - y₁) / (x₂ - x₁)  

so (7-1) / (5-3)

Solve inside paratheses to get  6/2. Simplify to 3

Solve for b by plugging in our first points (3,1)

1 = 3(3) + b

1 = 9  + b

-8   = b

Answer:

Step-by-step explanation: hope this helps

The length of the support wire on the pole is 27 feet

The given parameters are:

The length (L) of the support wire is then calculated using the following cosine function

cos(x) = b/L

This gives

cos(68) = 10/L

Make L the subject

L = 10/cos(68)

Evaluate

L = 27

Hence, the length of the support wire is 27 feet

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Answer:

*plays sweet dreams by eurythmics on repeat*

Volume of a Sphere formula: V = (4/3)(pi)(radius^3)

Now plug in the values: V = (4/3)(3.14)(39^3)

Now some solving:

V = (4/3)(3.14)(59,319)

V = (4/3)(186,261.66)

V = 248,348.88

Exact Value: 248,348.88cm^3

Approximate(Rounded) Value: 248,349cm^3

Answer:

√28 = 2√7 or roughly 5.29

Step-by-step explanation:

work backwards! sqr of 28 = x^2 that equals 28

√28 = 2√7 or roughly 5.29

Answer:

2

√

7

Step-by-step explanation:

The solution is: x = 10/3 hours

What is the equations with one variable?

An equation with one variable is a mathematical statement that involves an unknown quantity represented by a letter, usually x, and an equal sign, where the expressions on both sides of the equal sign have the same value.

We need to set up an equation using the given information to solve for x.

Let's start with Dwayne's formula:

Cost = 30x + 50

And Ivor's formula:

Cost = 45x

Since a job of x hours costs the same for both Dwayne and Ivor, we can set their formulas equal to each other:

30x + 50 = 45x

Simplifying and solving for x:

50 = 15x

x = 50/15

x = 10/3 hours

Therefore, the solution is: x = 10/3 hours

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The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."

A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.

Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."

Some key features regarding null hypothesis are-

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Answer:

a

Step-by-step explanation:

Answer:

a. a student who was not absent during unit should score about 98

(a) The linear density (mass/length) rho has SI units of kg/m. Since rho = a + bx, the SI units of a must be kg/m and the SI units of b must be kg/m^2.
(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod:
m = ∫₀ᴸ ρ(x) dx
Substituting in ρ(x) = a + bx:
m = ∫₀ᴸ (a + bx) dx
m = [ax + (1/2)bx²] from 0 to L
m = aL + (1/2)bL²
Therefore, the mass of the rod in terms of a, b, and L is m = aL + (1/2)bL².

(a) In this problem, rho (ρ) represents linear density, which has units of mass per length. In SI units, mass is measured in kilograms (kg) and length in meters (m). Therefore, the units of linear density are kg/m. Since ρ = a + bx, the units of a and b must be consistent with this equation. The units of a are the same as those of ρ, so a has units of kg/m. For b, since it is multiplied by x (which has units of meters), b must have units of kg/m² to maintain consistency in the equation.

(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod (from x=0 to x=L). Let's set up the integral:

Mass (M) = ∫(a + bx) dx, with limits from 0 to L

Now, we can integrate:

M = [a * x + (b/2) * x²] evaluated from 0 to L

Substitute the limits:

M = a * L + (b/2) * L²

So, the mass of the rod in terms of a, b, and L is:

M = aL + (bL²)/2

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Answer:

x=2

Step-by-step explanation:

(12x-23)(8x-15)

-8x        -8x

(4x-23)(-15)

   +23  +23

(4x)(8)

4/4 8/4

x=2

y = -1/5x + 3 which is a line perpendicular to 5x - 3y = -2 passing through the point (-5, 2).

The two distinct lines that cross each other at a 90° angle are called perpendicular lines. Have you noticed any similarities between the walls' intersecting corners, such as the letter "L"? They are the parallel lines, which are straight lines that cross each other at the proper angle.

If two lines cross at a 90° angle, we say that they are perpendicular to one another.

We know that perpendicular lines have reciprocal and opposite sign slope, so the slope of 5x - 3y = -2 is 5 and according the y intercept form,

3y = 5x +  2b

And for a perpendicular line the slope will be -1/5

Now using the point-slope form we will find the line perpendicular to Point (-5, 2)

y − y₁ = m(x − x₁)

Put m as -1/5, y₁ as 2 and x₁ as -5, and we will get

y − 2 = -1/5(x − 5)

y - 2  = -1/5x + 1

y  = -1/5x + 1 + 2

y  = -1/5x + 3

Thus y = -1/5x + 3 which is a line perpendicular to 5x - 3y = -2 passing through the point (-5, 2).

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Answer:

(0, -1)

Step-by-step explanation:

Wherever the line crosses the y-axis, that is the y-intercept, and where the line crosses the x-axis, that would be the x-intercept.

Answer:

6960

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a system of equations problem. The first equation comes from the fact that there are 5 times as many pens in box a as there are in box b; that means that if we multiply the amount in b by 5, it will be equal to what's in a:

a = 5b

That's the first equation. The second one comes from when 76 pens are moved from box a to box b. They are equal when this happens; therefore:

a - 76 = b

Using substitution:

5b - 76 = b and

4b = 76. Therefore,

b = 19.

If a = 5b, then a = 5(19) which gives us that there are 95 pens in box a.

Given that,

Let's assume there are x pens in box B.

Now, there will be 5x pens in box A.(Because there are 5 times as many pens in box A than in box B).

They had the same number of pens when Tom moves 76 pens from box A to box B.

So, after moving 76 pens from box A to box B:

Box A contains 5x-76 pens.

Box B contains x+76.

Now, Box A and Box B have the same number of pens.

We have to equate the number of pens in both boxes:

5x-76=x+76

4x=152

x=38

5x=190

Box A has 190 pens.