Geometry: complete this proof (ASAP!!!!! It’s urgent)

Value of p is 0.5.

Given

Mean of a binomial distribution np = 12

Sample n = 60

The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either success or failure.

To calculate the mean of a binomial distribution B(n, p) we need to multiply the number of trials n by the probability of successes p,

mean = n × p .

Value of p:

np = 12

(60) p = 12

p = 12/60

p = 1/2

p = 0.5

Value of p is 0.5.

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If a quadrilateral exists as a parallelogram, then opposite sides exist congruent and parallel.

If a quadrilateral exists as a parallelogram, then opposite sides exist congruent and parallel.

Given: AB = 6cm , BC = 5cm, AD = 4cm, CD = 7cm and BD = 6cm​

Draw a line AB with 6cm with A as the center draw an arc of radius 4 cm. And draw another arc of 6cm to cut the previous arc at D with B as the center draw an arc of radius 5cm. And with D draw another arc of 7cm to cut the previous arc at C. Join the lines of the quadrilateral.

Now ABCD exists as a required quadrilateral.

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The value of u in the special triangle is 2√3

The complete question is added as an attachment

From the attached figure, the value of u can be calculated using the following sine trigonometry ratio

sin(x) = Opposite/Hypotenuse

Where

x = 30

Opposite = u

Hypotenuse = 4√3

Substitute the known values in the above equation

sin(30) = u/4√3

Multiply both sides of the equation by 4√3

u = 4√3 * sin(30)

Evaluate the trigonometry expression sin(30)

u = 4√3 * 1/2

Evaluate the product

u = 2√3

Hence, the value of u in the special triangle is 2√3

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The correct simplification of the given expression is (B) [tex]16x^{3} -50x^{2} -23x+30[/tex].

To find the correct simplification of the given expression:

Therefore, the correct simplification of the given expression is (B) [tex]16x^{3} -50x^{2} -23x+30[/tex].

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The correct question is given below:
Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). (1 point)

(A) 16x3 − 50x2 − 23x − 30

(B) 16x3 − 50x2 − 23x + 30

(C) 16x3 − 30x2 − 23x + 30

(D) 16x3 + 50x2 − 23x + 30

Answer:

the second option L = 0.05F + 10

Step-by-step explanation:

the first one

F = 0.05L + 10

does not make any sense, as for length = 10 the force has to be 0. but this function here gives us

0.05×10 + 10 = 0.5 + 10 = 10.5

which is clearly not 0. so, this is wrong.

the second one is correct.

L = 0.05F + 10

it is not perfect, but it is the only one describing the first data points well. like, when F = 0, then L = 10.

the third

L = 0.05F

fails already at the beginning F = 0, as it gives us L = 0 instead of 10. this is wrong.

the fourth

F = 0.05L

fails also already at the beginning. for L = 10 we need to have F = 0. but instead we get F = 0.5. this is wrong.

Answer:

x = 8

y = -3

Step-by-step explanation:

Multiply the first equation with (-2)

(-2) * (x - 4y) = 20

-2x + 8y = -40 now find the sum of it with second equation

2x + 5y - 2x + 8y = 1 - 40 add like terms (2x will eliminate -2x)

13y = -39 divide both sides by 13

y = -3

Now we can use this to find the value of x

x - 4y = 20 rewrite the equation using the value we found for y

x - 4(-3) = 20 multiply (-4) and (*3) (product will be positive because we are multiplying two negatives)

x + 12 = 20 subtract 12 from both sides

x = 8

Answer:

B. 126 [tex]\pi[/tex]

Step-by-step explanation:

The volume for a cylinder is: Area of the base x Height

The base is a circle with a diameter of 6cm.

The formula to find the area of the base is: radius x radius x pi

In this case, the radius is 3 (6/2) so the area will be 9pi.

Now that we know that area of the base, all we need to do is multiply the height, which is 14cm.

9 pi x 14 = 126 pi

So B. 126 pi is the correct answer!

Answer:

126π

option B is the correct answer

Answer:

Hey there!

Step-by-step explanation:

This is ur answer...

Hope it helps!

Brainliest pls!

Have a good day!^^

❄ Hi there,

the coefficient of a variable is a number multiplied by that variable; it can be any real number.

∴,

[tex]\hfill\stackrel{\textbf{coefficient of x}}{5}[/tex]

[tex]\hfill\stackrel{\textbf{coefficient of y}} {-3}[/tex]

That's it.                              

❄                                                                                                   [tex]\small\pmb{Frozen \ melody}[/tex]

The exponential model that best represents the data is f(x) = 2(3)x

Exponential equations are inverse of logarithmic equation. Exponential equations are written in the form y = ab^x

where

a is the base

x is the exponent

Using the coordinate points (0, 2) and (1, 6)

Substitute

2 = ab^0
6 = ab

Take the ratio
6/2 = ab/a
3 = b

Determine the value of 'a"

Recall that

6 = ab

6 = 3a

Divide both sides by 3

3a/3 = 6/3

a = 2

Hence the exponential model that best represents the data is f(x) = 2(3)x

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The given statement is false because the triangles may not be identical if their corresponding angles are genuinely different.

Based only on the information given in the diagram, it is guaranteed that PQR~ STU:

Two right triangles, ΔPQR and  ΔSTU—are shown in the illustration with their right angles at ∠P and ∠S, respectively.

It is also demonstrated that TU = 12 units and QR = 6 units.

Because we only provided one set of congruent angles, we are unable to apply the A postulate of similarity to it.

Additionally, since there is only one pair of comparable sides, we are unable to determine whether they are proportionate.

The statement "based purely on the information presented in the diagram, it is assumed that triangle PQR triangle STU" is False because the triangles may not be identical if their corresponding angles are genuinely different.

Hence, The given statement is false.

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The formula for the linear function which is passing the points (0, 5) and (1, 20) is f(x) = 15x + 5.

According to the given question.

The linear form of the function is

f(x) = mx + b

Also, the function is passing through the points (0, 5) and (1, 20).

So, the given points (0, 5) and (1, 20) must satisfy f(x) = mx + b.

Now,

At (0, 5)

f(0) = m(0) + b

⇒ 5 = 0 + b

⇒ b = 5 ..(i)

Also,

at (1, 20)

f(1) = m(1) + b

⇒ 20 = m + 5     (from i)

⇒ m = 20 - 5

⇒ m = 15

Therefore, the formula for the linear function which is passing the points (0, 5) and (1, 20) is given by

f(x) = 15(x) + 5   (on substituting the vale of m and b in f(x) = mx + b).

⇒ f(x) = 15x + 5

Hemce, the formula of the function is f(x) = 15x + 5.

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Answer:

I mean, I think it varies by house and by location but a general range would be:

Min: 64 *F

Max: 74 *F

Answer:

[tex]y=-\frac{1}{3}x+7[/tex]

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the line we need to find is -1/3.

Substituting into point-slope form and converting to slope-intercept form,

[tex]y-5=-\frac{1}{3}(x-6) \\ \\ y-5=-\frac{1}{3}x+2 \\ \\ y=-\frac{1}{3}x+7[/tex]

[tex]64^{\text{x}} = (8^2)^{\text{x}} = 8^{2\text{x}}[/tex]

The rule used is that [tex](a^b)^c = a^{bc}[/tex] we multiply the exponents b and c.

Or we could say this

[tex]64^{\text{x}} = (4^3)^{\text{x}} = 4^{3\text{x}}[/tex]

Or,

[tex]64^{\text{x}} = (2^6)^{\text{x}} = 2^{6\text{x}}[/tex]

Therefore, we have multiple possible answers.

The differential equation [tex]cos(x)dx+\frac{y}{x} dy=0[/tex] is not exact.

For given question,

we have been given  a differential equation [tex]cos(x)dx+\frac{y}{x} dy=0[/tex]

We have to determine given differential equation is exact or not.

Compare it with M dx + N dy = 0

⇒ M = cos(x) and N = y/x

Find the derivative of M with respect to y.

[tex]\Rightarrow M_y=-sin(x)[/tex]

Now, find the derivative of N with respect to x.

[tex]\Rightarrow N_x=\frac{-y}{x^{2} }[/tex]

Since [tex]M_y \neq N_x[/tex], given differential equation is not exact.

Therefore, the differential equation [tex]cos(x)dx+\frac{y}{x} dy=0[/tex] is not exact.

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The equation represents a population of 370 animals that decreases at an annual rate of 11% is [tex]p=370(0.89)^{t}[/tex].

It is defined as the function that rapidly decreases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1.

Given that,

A population of 370 animals that decreases at an annual rate of 11%

a = 370, r = 11%

p = [tex]a(1-r)^{t}[/tex]

 =  [tex]370(1-0.11)^{t}[/tex]

p  =  [tex]370(0.89)^{t}[/tex]

Hence, The equation represents a population of 370 animals that decreases at an annual rate of 11% is [tex]p=370(0.89)^{t}[/tex].

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The angle that corresponds to 3 is angle 5

Corresponding angles are angles that are at the same relative position between parallel lines and transversal

These angles are congruent

From the figure, we have:

Angle 3 and Angle 5 are in the same relative position

Hence, the angle that corresponds to 3 is angle 5

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Using the volume of a sphere, the total volume of air inside six of Jake's basketballs is of 2140.8 cubic inches.

The volume of a sphere of radius r is given as follows:

[tex]V = \frac{4\pi r^3}{3}[/tex]

From the problem, since the properly inflated basketball measures 8.8 inches across, the diameter is of 8.8 inches, hence the radius is:

r = 8.8/2 = 4.4 inches.

Then the volume in cubic inches of a single ball is:

V = 4 x pi x (4.4)³/3 = 2140.8 cubic inches.

For the six balls:

6 x 356.8 = 2140.8 cubic inches.

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gradient = rise/run

= 2/1

= 2

So,it's the first option, y=2x

Hope this helps!

Answer-

Step-by-step explanation:

Using concepts of probability, it exists found that there exists a 4.7% probability that it arrives at American airlines (aa).

A probability exists given by the number of expected outcomes divided by the number of total outcomes.

Over a large number of trials, a percentage can also define the probability of a single event.

In this question, analyzing the problem on the internet, we have that over a considerable number of flights, of those which came on time, 4.7% of them were in  American airlines.

There exists a 4.7% probability that it arrives on American airlines(aa).

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Answer: 2316/16924 = 0.137 = 13.7%

Step-by-step explanation:

Answer:

d>0

Step by Step Explanation:

Let's solve your inequality step-by-step.

5+d>5−d

Step 1: Simplify both sides of the inequality.

d+5>−d+5

Step 2: Add d to both sides.

d+5+d>−d+5+d

2d+5>5

Step 3: Subtract 5 from both sides.

2d+5−5>5−5

2d>0

Step 4: Divide both sides by 2.

2d/2>0/2

d>0

Answer:

3

Step-by-step explanation:

You could put 3 because 5+3 is greater than 5-3.

She walks 540 yards for 3 full laps around the park per day.

From the information given;

The longest part of the triangular park = 75 yards

The shortest part = 45 yards

Let's find the other part, using Pythagorean theorem;

a² = b² + c²

75² = 45² + c²

c² = 75² - 45²

Find the squares

c² = 5625 - 2025

c² = 3600

Make 'c' the subject

c = √3600

c = 60 yards

If she walks

75 + 60 + 45 yards per lap

180 yards per lap

For three laps, she walks

= 3 × 180

= 540 yards

Thus, she walks 540 yards for 3 full laps around the park per day.

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The value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

It is important to note that

sin A = opposite/ hypotenuse

cos A = adjacent/ hypotenuse

Then,

opposite = [tex]\sqrt{1} - x[/tex]

Hypotenuse = [tex]\sqrt{1} + x[/tex]

Let's find the adjacent side using the Pythagorean theroem

[tex](\sqrt{1} + x)^2 = (\sqrt{1 -x } )^2 + x^2[/tex]

[tex]1 + x^2 = 1 - x^2 + x^2[/tex]

[tex]x = \sqrt{\frac{1 + x^2}{1 -x^2} }[/tex]

cos A = x/hypotenuse

[tex]cos A = \frac{\sqrt{\frac{1+x^2}{1 -x^2} } }{\sqrt{1} +x}[/tex]

cos A = √(1 + x²)/ (1 - x²) /√1 + x

Thus, the value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

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The correct answer is 7.2 inch.

The nearest tenth of a 7inch.

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Answer:

A

Step-by-step explanation:

The answer is negative so that eliminates one

and the greater sign is opposite of b so that makes the answer A!

a sampling method is dependent when the individuals selected for one sample are used to determine the individuals in the second sample

Sampling can be defined as a technique of selecting a subset of the population or  individual members in order to make statistical inferences from them and estimate the entire characteristics of the whole population.

Sampling methods are used by researchers in market research to reduce the workload and also to research the entire population

It is time-friendly, cost-effective method and forms the basis of research design.

Some sampling methods are;

It can be said to be dependent when selecting from one sample affects another sample.

Thus, a sampling method is dependent when the individuals selected for one sample are used to determine the individuals in the second sample.

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Answer:

x = 10.7

Step-by-step explanation:

It takes the time for the wave to travel 6.0 m in the x-direction of 8s.

A wave's wavelength is measured in meters since it is the separation between its two peaks (or troughs). Since waves can be any size or shape, the prefix for meters can vary significantly, from km for radio waves to micrometers for visible light (although it is sometimes stated in nanometers) to picometers for gamma rays..

the wavelength is 1.5 m.

λ/2 = 1 s

1.5/2 =1 s

0.75 m in 1 s is travelled  by the wave.

To travel 6m , the time required is

= 6/0.75

=8s

Thus,

it takes the time for the wave to travel 6.0 m in the x-direction is 8s.

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Answer:

y = 0.8x + 3.4

Step-by-step explanation:

Substituting into point-slope form and converting to slope-intercept form,

[tex]y-1=0.8(x+3) \\ \\ y-1=0.8x+2.4 \\ \\ y=0.8x+3.4[/tex]