Which of the following values is less than −|62|?

The average number of cavities in the patients will be 2.85

The formula for the average is =\(\frac{sum of all numbers}{total numbers}\),

Where we have to sum all the numbers and then we have to divide them by the total numbers or elements.

Stepwise solution:

average =\(\frac{1+0+1+5+6+3+4}{7}\)

              =20/7

              =2.85

Therefore we found that the average number of cavities the patient has after using those data is 2.85

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At a point, 42. 3 feet from the base of a building, the angle of elevation of the top is 75° = The height of the building is 157.87 feet.

We can address the angles and the sides of a right triangle.

75° is the preferred angle.

42.3ft. is neighboring.

The level of the structure is the inverse.

- Utilizing trigonometry, we can tackle for the level by utilizing the tangent proportion. Let x be the level of the structure.

tan = opposite/adjacent

tan 75 = x / 42.3

42.3. tan 75 = x / 42.3 . 42.3

157.85ax

The height of the building is 157.87 feet.

trigonometry, the part of math worried about unambiguous elements of angles and their application to estimations. There are six elements of an angle normally utilized in trigonometry. Their names and contractions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

The height of the building is 157.87 feet.

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The two main CPUs in laptops are called i3 and i5, and their names vary according to their level of efficiency.

In general, Core i5 CPUs perform better than Core i3 CPUs in terms of CPU performance. The Core i3 processors are all dual-core, in contrast to the dual-core and quad-core i5 CPUs. Along with cores and threads, you must also consider the processor generation.

In terms of CPU performance, Core i5 components often exceed Core i3 components. Dual-core and quad-core Core i5 CPUs are both available. When it comes to multimedia applications like video transcoding and photo editing, a true quad-core CPU will often beat a dual-core CPU.

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We get the age of Jack is 29 years and the age of Jill is 16 years.

We are given that the sum of Jack's age and Jill's age is 45 years.

Let Jack's age be x.

Let Jill's age be y.

x + y = 45

x = 45 - y

Now, we are also given that jack's age next year will be twice Jill's age last year.

Jack's age next year = x + 1

Jill's age last year = y - 1

ATQ, We get the equation as:

x + 1 = 2( y - 1)

x + 1 = 2 y - 2

x = 2 y - 2 - 1

x = 2 y - 3

We get that:

45 - y = 2 y - 3

2 y + y = 45 + 3

3 y = 48

y = 48 / 3

y = 16 years.

x + y = 45

x + 16 = 45

x = 45 - 16

x = 29 years.

Therefore, we get the age of Jack is 29 years and the age of Jill is 16 years.

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Answer:

see below

Step-by-step explanation:

The area is given by

A = l*w

A = (4x-1) ( 3x+6)

FOIL

first 4x*3x =12x^2

outer 6*4x = 24x

inner -1*3x = -3x

last  -1 *6 = -6

Add together

12x^2 +24x-3x-6

12x^2 +21x-6

Answer:

The area is given by

A = l*w

A = (4x-1) ( 3x+6)

first 4x*3x =12x^2

outer 6*4x = 24x

inner -1*3x = -3x

last  -1 *6 = -6

Add together

12x^2 +24x-3x-6

12x^2 +21x-6

Answer:

2

Step-by-step explanation:

Answer:

Volume of a cone = 1/3•pi r•r•h

V = 1/3•pi•2•2•8

V = 33.49333333333333

V = 33.5 inches squared

I hope this helps! Have a good day! :)

The volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.

Suppose that the radius of considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

\(V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3\)

Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

The missing image for this problem is attached below.

For this case, the radius is of 2 inches, and height is of 8 inches, thus, the volume of the considered cone is:

\(V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3 \approx \dfrac{1}{3} \times 3.14 \times (2)^2 \times 8 \approx 33.51 \approx 33.5 \: \rm in^3\)

(rounded to the nearest tenth, which is first place to right of the decimal point.

Thus, the volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.

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Answer:

I honestly don't know the answer but I'll try to help you understand the formula.

Step-by-step explanation:

for you to find the missing length of the hypotenuse you need to get your other 2 sides and multiply them by themselves/ square. After that you want to add them together. Now you have to find the square root of that total number which will be your length.

√a2+b2  

hope this somehow helps

Reason:

The keyword "given" is a universal indicator we're dealing with conditional probabilities. It sets up prior knowledge to reduce down the sample space.

The fact that we know the candy is red means that we only focus on the red candies (and shrinks down the set).

Conditional probability is represented by probability that the candy is blue.

One of the fundamental ideas in probability theory is the idea of the conditional probability formula. The conditional probability formula calculates the likelihood of an event, say B, given the occurrence of another event, say A.  

By knowing the conditional probability of event B given that event A has occurred and the individual probabilities of events A and B, the Bayes theorem may be used to calculate the conditional likelihood of event A given that event B has occurred.

We have,

Some red, white, and blue candies were placed in a bowl.

Some contain nuts, and some do not.

Here we are only focusing on the red candy which shows we have reduce the sample space.

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Answer:

Square numbers are numbers that have been multiplied by themselves.

Answer:

the measure of supplementary angles must add up to 180

Step-by-step explanation:

complementary angles add up to 90°

angles on a straight line are supplementary angles which add up to 180°

The measure of supplementary angles must add up to 180. The correct option is D.

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located.

The complementary angles are defined as the angles having the summation of 180 degrees. The angles made by the straight lines are termed complementary angles.

The supplementary angles are the angles between the two lines that will be 90 degrees.

Therefore, the measure of supplementary angles must add up to 180. The correct option is D.

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The number of candles will be 42.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Number of candles =(total volumes used by the company)/(volume of one candle)

Volume of one candle =5cm x 2cm x 12cm=120cm^3

Number of candles =5040/120

N = 42 candles

Therefore, the number of candles will be 42.

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The probability of choosing a ride that lasts less than 200 seconds will be \(\frac{199}{200}\).

What is probability?

The likelihood or chance that a specific occurrence will occur is represented by probability. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities. An occurrence is "not likely" to occur if the probability is close to 0, and it is "highly likely" to occur if the probability is close to 1.

The probability of an occurrence happening is determined by probability: P(A) = f / N. Probability and odds are linked, but probability determines what the odds are.

P = Favourable outcomes : Total outcomes

∴ Zane choosing a ride that lasts less than 200 seconds = 199/200

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Answer:

x ( > or = ) 5/9

Step-by-step explanation:

● 2(1 + x) ( > or = ) 11 - 3x

● 2 + 2x ( > or = ) 11 - 3x

Add 3x to both sides

● 2 + 2x + 3x ( > or = ) 11 - 3x + 3x

● 2 + 5x (> or = ) 11

Substract 2 from both sides

● 2 + 5x -2 ( > or = ) 11 -2

● 5x (> or =) 9

Divide both sides by 5

● 5x/5 ( > or = ) 5/9

● x ( > or = ) 5/9

Answer:

2⋅(2x+1)

Step-by-step explanation:

(12x +  4 • (3 - 2x)) -  10

Pull out like factors :

4x + 2  =   2 • (2x + 1)

Final result :

2 • (2x + 1)

Hope this can help you

The length of the ladder to the nearest tenth of a foot as evaluated by trigonometric ratios is; 12.2ft.

Since the base of the ladder as indicated in the task content is 10 feet away from the bottom of a building's wall, it follows that the set-up in discuss is analogues to a right triangle whose adjacent is 10ft;

Therefore, the length of the ladder which is the hypothenuse can be evaluated as follows;

cos 35° = 10/L

L = 10/cos 35

L = 12.2ft.

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Answer:

1.5

Step-by-step explanation:

42/28 =6/4=1.5

33/1.5=22

Answer:

Below

Step-by-step explanation:

Given the slope m = 3/7

  the PERPINDICULAR slope will be  - 1/m  = -1 / (3/7) = - 7/3

      this is just something you have to LEARN and remember....

Answer:

that do be true tho

Step-by-step explanation:

Answer:

shii, I can throw it back and still have straight A's

Step-by-step explanation:

best of both worlds...

Solution 1

Inspecting a 7th-degree polynomial of 'n' by taking its derivatives

From the given conditions,

 2n7+n6+2n4+2n3+2n2

=(n+1)7+(n+1)5+(n+1)4+2(n+1)3+(n+1)2+2(n+1)+1.

 2n7+n6+2n4+2n3+2n2

=n7+7n6+21n5+35n4+35n3+21n2+7n+1

 +n5+5n4+10n3+10n2+5n+1

 +n4+4n3+6n2+4n+1

 +2(n3+3n2+3n+1)

 +(n2+2n+1)+2(n+1)+1.

n7-6n6-22n5-39n4-49n3-42n2-26n-9=0 .....[1].

Let A(n)=n7-6n6-22n5-39n4-49n3-42n2-26n-9.

For n>2, A(n)<n7-6n6-22n5.

Since A(n)=0,

0<n7-6n6-22n5.

0<n5(n-3+√31)(n-3-√31).

Since n>2, n>3+√31, which means n≥9 .....[2].

Now, to differentiate A(n),

A'(n)=7n6-36n5-110n4-156n3-147n2-84n-26.

A''(n)=42n5-180n4-440n3-468n2-294n-84.

A'''(n)=210n4-720n3-1320n2-936n-294.

A(4)(n)=840n3-2160n2-2640n-936.

 A(5)(n)

=2520n2-4320n-2640

=2520{(n-6/7)2-262/147}.

If A(5)(n)=0, n=6/7±√(262/147).

Therefore, A(5)(n)>0 for n≥3.

Although n≥9 according to [2], I try inspecting A(n) for n≥10.

When n≥10, A(4)(n) increases monotonously.

A(4)(10)=840000-216000-26400-936>0.

Therefore, A(4)(n)>0 for n≥10.

And when n≥10, A'''(n) increases monotonously.

A'''(10)=2100000-720000-132000-9360-294>0.

Therefore, A'''(n)>0 for n≥10.

And when n≥10, A''(n) increases monotonously.

A''(10)=4200000-1800000-440000-46800-2940-84>0.

Therefore, A''(n)>0 for n≥10.

And when n≥10, A'(n) increases monotonously.

 A'(10)

=7000000-3600000-1100000-156000-14700-840-26>0.

Therefore, A'(n)>0 for n≥10.

And when n≥10, A(n) increases monotonously.

 A(10)

=107-6000000-2200000-390000-49000-4200-260-9>0.

Therefore, A(n)>0 for n≥10 .....[3].

From [2] and [3], A(n)=0 only when 9≤n<10.

In consequence, n=9.

Answer: 5n+14-11n-2

Step-by-step explanation:

The distance around the bases in meters will be 27.432 meters.

How many meters are in 1 feet?

In one feet there are 0.3048 meters.

Given is a baseball field measures 90 feet between each base.

Distance between each base in feet = [d] = 90 feet

The distance between each base in meters will be -

D [meters] = 90 x 1 ft

D [meters] = 90 x 0.3048 meters

D [meters] = 27.432 meters

Therefore, the distance around the bases in meters will be 27.432 meters.

Answer:

The colours of the rainbow are: Red, orange, yellow, green, blue, indigo, violet.

Answer:

blue , green, red , orange. yellow, pink purple,

Step-by-step explanation:

your welcome

Answer:

14v=14

v=1

You welcome:)

SOLUTION:

Case: Proportions

Method:

The recommended dosage of a drug for pediatric patients is 200 mg per kilogram

We calculate John's weight in kg

Since

Next, the drug should he receive

Final an

The correctanswer is-the percentage of the pieces that will meet the length specs is 98.78%.

The given data may be a random variable that takes after the normal distribution with mean μ=64 and standard deviation σ=0.1

The required value is to discover the rate of the pieces that will meet the length specs which is between 63.76 and 64.24 inches.

To find the required percentage, standardize the given limits as follows: Lower Limit: (63.76 - μ) / σ= (63.76 - 64) / 0.1 = -2.4

Upper Limit: (64.24 - μ) / σ= (64.24 - 64) / 0.1 = 2.4

Using the Standard Normal Distribution Table, the probability that the value will fall between -2.4 and 2.4 is found to be 0.9878.

The required percentage is then found by multiplying the probability by 100, which is: Percentage = 0.9878 x 100% = 98.78%

Therefore, the percentage of the pieces that will meet the length specs is 98.78%.

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The mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The mean-square end-to-end distance for the fractal line is as follows.⟨R2⟩ = ⟨(R(u)- R(v))^2⟩ for u = 0 and v = L where L is the length of the line.⟨R2⟩ = b²/L^2.D.L = b².L^(1-D).

Thus, the mean-square end-to-end distance for the fractal line is ⟨R2⟩ = b².L^(1-D).

The radius of gyration Rg is defined as follows.

Rg² = (1/N)∑_(i=1)^N▒〖(R(i)-R(mean))〗²where N is the number of monomers in the fractal line and R(i) is the position vector of the ith monomer.

R(mean) is the mean position vector of all monomers.

Since the fractal dimension is D, the number of monomers varies with the length of the line as follows.N ~ L^(D).

Therefore, the radius of gyration for the fractal line is Rg² = (1/L^D)∫_0^L▒〖(b/v^(1-D))^2 v dv〗 = b²/L^2.D(1-D). Thus, Rg² = b².L^(2-D).

The ratio R²/Rg² is given by R²/Rg² = L^(D-2).

When D = 1, R²/Rg² = 1/L. When D = 1.7, R²/Rg² = 1/L^0.7. When D = 2, R²/Rg² = 1/L.

This provides information on mean-square end-to-end distance and radius of gyration for fractal line with a given fractal dimension.

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Given:

To find the angle between v and w:

Using the formula,

Rationalising the denomiantor, we get

Hence, the angle is,