The average of five numbers is 34. Two of the numbers are the same, and the other three are 49, 25, and 42. Find the value of the two numbers missing numbers.
​

Answer:

6 miles

Step-by-step explanation:

Li can walk 6 miles if you divide 135 and 45 you'll get 3 finally if you multiply 2 and 3 you'll get 6 So in total Li walks 6 miles

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1

a) Sample mean of set is 36.375.

b) Standard deviation of sample is 6.66208.

The average degree of variability in your dataset is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. In general, values with a large standard deviation are spread out from the mean, and those with a low standard deviation are grouped together near to the mean.

Given,

a) Mean

Total number of values = 16

= Sum/Total number of values

=  34 +45+ 27 +33 +38+ 41+ 45 +29 +30+ 39 +34 +40 +28 +33 +36+ 50/16

= 582/16

= 36.375

Sample mean of set is 36.375.

b) Sample standard deviation

S² = ∈ (x i - x)²/N-1

S² = 666.75/16-1

S² = 44.383333

S = √44.38333

S = 6.66208

Standard deviation of sample is 6.66208.

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To determine the probability of event A, we need to add the probabilities of the sample points e1, e4, and e6:

P(A) = P(e1) + P(e4) + P(e6)

To determine the probability of event B, we need to add the probabilities of the sample points e2, e4, and e7:

P(B) = P(e2) + P(e4) + P(e7)

To determine the probability of event C, we need to add the probabilities of the sample points e2, e3, e5, and e7:

P(C) = P(e2) + P(e3) + P(e5) + P(e7)

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Answer:

(a)   width = (x - 1)

      length = (7x - 6)

(b)  Area = 350 cm²

     Perimeter = 114 cm

Step-by-step explanation:

Given equation:  \(7x^2-13x+6\)

⇒ a = 7,  b = -13,  c = 6

Find 2 two numbers that multiply to ac and sum to b:   -6 and -7

Rewrite b as the sum of these 2 numbers:

\(\implies 7x^2-7x-6x+6\)

Factorize the first two terms and the last two terms separately:

\(\implies 7x(x-1)-6(x-1)\)

Factor out the common term (x - 1):

\(\implies (7x-6)(x-1)\)

Therefore:

Substitute the given value of x = 8 into the equations to find the area and perimeter:

\(\begin{aligned}x=8cm \implies \textsf{Area} & = 7(8)^2-13(8)+6\\& = 448-104+6\\& = 350 \sf \:\: cm^2\end{aligned}\)

\(\begin{aligned}\textsf{Perimeter} & = 2(\sf width+length)\\& =2[(x-1)+(7x-6)]\\ & = 2[(8-1)+(7(8)-6)]\\ & = 2[7+(56-6)] \\& = 2(7+50)\\& = 2(57)\\ & = 114 \sf \:\: cm\end{aligned}\)

Answer:

See below ~

Step-by-step explanation:

\(\textsf {Question 15(A) :}\)

\(\textsf {Given :}\)

\(\implies \mathsf {7x^{2} - 13x + 6}\)

\(\textsf {Splitting the middle term :}\)

\(\implies \mathsf {7x^{2} - 7x - 6x + 6}\)

\(\textsf {Grouping common terms :}\)

\(\implies \mathsf {7x(x - 1) - 6(x - 1)}\)

\(\textsf {Dimensions are :}\)

\(\textsf {Question 15(B) :}\)

\(\textsf {Formula for perimeter :}\)

\(\implies \mathsf {2 \times (length + width)}\)

\(\implies \mathsf {2 \times (7x - 6 + x - 1)}\)

\(\implies \mathsf {2 \times (8x-7)}\)

\(\textsf {Substitute x = 8 :}\)

\(\implies \mathsf {2 \times [8(8)-7]}\)

\(\implies \mathsf {2 \times (64-7)}\)

\(\implies \mathsf {2 \times 57}\)

\(\implies \mathsf {Perimeter = 114 cm}\)

\(\textsf {Now substitute x = 8 in the area formula :}\)

\(\implies \mathsf {7(8)^{2} - 13(8) + 6}\)

\(\implies \mathsf {7(64) - 104 + 6}\)

\(\implies \mathsf {448 - 98}\)

\(\implies \mathsf {Area = 350 cm^{2}}\)

Answer:

DTI ratio in percentage = 42.36

Step-by-step explanation:

Annual salary = $47334

This means that gross monthly pay = 47334/12 = $3944.5

Now,

Total monthly debt payments = 1115 + 336 + 112 + 108 = $1671

Debt to income ratio = (1671/3944.5) × 100% = 42.36%

Since we are told not to put the % symbol, then answer is 42.36

The area of the circle with radius 'r' is πr² units² because the formula for the area of a circle = πr²

The circle is defined as a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point which is the centre.

The angle at the center of a circle sums up to 360°.

To calculate the area of a circle, the formula that should be used is given as follows;

Area of a circle = πr²

radius of the circle = r units

area = π×r ×r

= πr² units ²

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Answer:

wait wait wait, is your profile picture from Genshin Impact?

if so I LOVE IT <3

A. The formula b = y * 40 - m.

B. The linear equation that represents the given situation can be written as b = 15.25 * 40 - 50

C. Margaret's disposable income for the week is $560.

Part A :

- y  : Margaret's earnings per hour, which is $15.25 in this situation.

- m : The amount Margaret takes from each paycheck and puts into her savings account, which is $50.

- z : The amount Margaret spends from each paycheck.

- b : Margaret's total earnings in a week after deducting the amount she puts into savings, which can be calculated using the formula b = y * 40 - m.

Part B :

The linear equation that represents the given situation can be written as:

b = 15.25 * 40 - 50

Part C:

The equation from Part B can be used to calculate Margaret's total earnings after saving a fixed amount from each paycheck. It helps to determine her disposable income after setting aside $50 in her savings account. In the equation:

- y represents Margaret's hourly wage, which is constant at $15.25 per hour.

- 40 represents the number of hours she works in a week (assuming a standard 40-hour workweek).

- m represents the amount she puts into her savings account each week, which is a fixed $50.

- b represents her remaining earnings after savings, also known as her disposable income for the week.

By substituting the values into the equation, we can calculate her disposable income:

b = 15.25 * 40 - 50

b = 610 - 50

b = 560

Hence, Margaret's disposable income for the week is $560. This equation is beneficial because it provides a straightforward way to calculate her remaining earnings after savings without the need to manually deduct $50 from her total earnings.

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Answer: the answer is D

Step-by-step explanation:

Answer:

How can air pollution be reduced

Step-by-step explanation:

Unless someone wants everyone to die sooner then this should be the main concern

True, a data warehouse allows users to specify certain dimensions or characteristics.

In a data warehouse, dimensions represent the different aspects or characteristics by which data can be categorized or analyzed. These dimensions can include various attributes or variables that provide context and organize the data.

Users of a data warehouse can specify these dimensions based on their analytical needs and the nature of the data being stored.

For example, in a sales data warehouse, common dimensions may include product, customer, time, and location.

By specifying these dimensions, users can slice and dice the data based on different criteria and gain insights from various perspectives.

By defining dimensions, users can navigate through the data warehouse and perform multidimensional analysis using tools such as OLAP (Online Analytical Processing).

Dimensions provide a structure for organizing and querying data in a way that facilitates analysis and reporting.

In summary, a data warehouse allows users to specify dimensions or characteristics that help organize and analyze the data stored in the warehouse. These dimensions provide a framework for users to navigate and explore the data from different perspectives.

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average speed equals distance over time 100/80 will give you 5/4

Intellectually gifted people score in the top 1 - 2percent on a standard IQ test.

From the question, we have the following parameters that can be used in our computation:

IQ of intellectual gifted people

The general rule is that

People with intellectuals are usually ranked high and the range is usually small

Next, we test the options

A. 10

The top 10% has a high range

B. 5-10

The top 10% omits people in top 5%

C. 5

The top 5% has a high range

D. 1-2

This has a small range and it is the highest

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x ≈ 17.8 cm (rοunded tο 1 decimal place).

The trigοnοmetric functiοns in mathematics are real functiοns that relate the angle οf a right-angled triangle tο the ratiοs οf its twο side lengths. They are alsο knοwn as circular functiοns, angle functiοns, οr gοniοmetric functiοns.

All geοsciences, including navigatiοn, sοlid mechanics, celestial mechanics, geοdesy, and many οthers, use them extensively. They are sοme οf the mοst straightfοrward periοdic functiοns, and as a result, Fοurier analysis is frequently used tο study periοdic phenοmena.

Tο sοlve fοr x, we can use the trigοnοmetric functiοn cοsine since we have the adjacent side and the hypοtenuse.

cοs(θ) = adjacent/hypοtenuse

cοs(38°) = x/hypοtenuse

We knοw that the perpendicular is y = 11 cm, sο we can use the Pythagοrean theοrem tο find the hypοtenuse:

\(\rm hypotenuse^2 = perpendicular^2 + base^2\)

\(x^2 = y^2 + (adjacent)^2\)

\(x^2 = 11^2 + (x cos(38^\circ))^2\)

\(x^2 = 121 + (x 0.7880107536)^2\)

\(x^2 = 121 + 0.6201117996x^2\)

\(0.3798882004x^2 = 121\)

\(x^2 = 318.5022183\)

x ≈ 17.84 cm (rounded to 1 decimal place)

Therefore, x ≈ 17.8 cm (rounded to 1 decimal place).

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If in circle A, diameter EC is perpendicular to chord BD, and arc EB measures 62 degrees, the measure of arc ED is 208 degrees.

To solve the problem, we need to use the relationship between arcs, angles, and chords in a circle.

Since diameter EC is perpendicular to chord BD, we know that angle EBD is a right angle.

Arc EB measures 62 degrees, and we know that angle EBD is 90 degrees. Therefore, arc ED must measure:

360 degrees - arc EB - angle EBD

= 360 degrees - 62 degrees - 90 degrees

= 208 degrees

So, the measure of arc ED is 208 degrees.

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The integral for the mass of a thin wire in the shape of a parabola density is \(\int[-1,1]\int[0,x^2] x^2 y^2 dy dx\)

To find the mass of the thin wire in the shape of a parabola with density function ρ(x, y) = \(x^2 y^2\),

we can set up a double integral over the region that describes the parabola. The mass M is given by the following integral:

M = ∬ρ(x,y) dA

where dA represents the area element in the xy-plane. To set up this integral, we need to first determine the limits of integration for x and y.

The parabola can be described by the equation y =\(x^2\), where x ranges from -1 to 1. Therefore, the limits of integration for x are -1 to 1.

For each value of x, the y-values range from the parabola to the x-axis, which is the region between y = 0 and y = \(x^2\). Therefore, the limits of integration for y are 0 to\(x^2\).

Using these limits of integration, the integral for the mass of the thin wire is:

M = ∫∫ρ(x,y) dA

=\(\int[-1,1]\int[0,x^2] x^2 y^2 dy dx\)

This integral can be evaluated using standard integration techniques.

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Answer:

(4^5/b^7)^3

(1024/b^7)^3

1024^3/b^21

The volume of the quarter-sphered sized tank is approximately 490,490 cubic feet.

To find the volume of the quarter-sphered sized tank, we need to first calculate the volume of a sphere and then divide it by 4.

The formula for the volume of a sphere is V = (4/3) * π *\(r^3\), where V represents volume and r represents the radius.

Given that the radius of the main tank is 70 feet, we can substitute this value into the formula.

V = (4/3) * π * \(70^3\)
V = (4/3) * π * 343,000

Now we can calculate the volume.

V = (4/3) * 3.14 * 343,000
V ≈ 1.43 * 343,000
V ≈ 490,490

Since we want the answer rounded to the nearest whole number, the volume of the quarter-sphered sized tank is approximately 490,490 cubic feet.

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For a given line and a point outside of it, only one plane passes through both of these.

By definition, we say that a plane is defined by 3 non-colinear points.

With 3 non-colinear points we can make a line and a point outside of that line.

So, in resume, any plane can be defined by a line and a point outside of it. Then, with a line and a point outside of it we can define a single plane. This means that if we have a line and a point outside of the line, only a single plane passes through both of them.

So the correct option is C: one.

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2938

Answer:

Step-by-step explanation:

Answer:

ethanol

Step-by-step explanation:

The enthalpy of combustion is the amount of heat produced when one mole of ethanol undergoes complete combustion at 25 ° C and 1 atmosphere pressure, yielding products also at 25 ° C and 1 atm.

The enthalpy of combustion of the unknown compound is

ΔH = - 320 kJ / 0.25 mol = - 1280 kJ / mol

To choose a probable compound according to this combustion enthalpy, we must evaluate the deviation in relation to the values reported in the literature for the three probable compounds (methane, ethylene and ethanol). The deviation (e%) will be calculated according to the following equation,

e% =  ( | ΔHx - ΔH | / ΔHx ) x 100%

where ΔHx is the enthalpy of combustion of the probable compound.

The following table shows the combustion enthalpies of the probable compounds and their deviation in relation to the enthalpy of ΔH = - 1280 kJ / mol

Compound Enthalpy of combustion (kJ/mol)   Deviation

Methane                        - 890.7                                 43.8%

Ehylene                         -1411.2                                   9.3%

Ethanol                        -1368.6                                    6.5%

According to the previous table, we can say that the most probable compound is ethanol, since it has the smallest deviation in relation to the experimental enthalpy value of combustion.

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Answer: ethanol

Step-by-step explanation:

Got it right on edge

The power delivered by the student's biceps is 51.45 watts (W).

To calculate the power delivered by the student's biceps while doing a pull-up, we use the formula:

Power = Work/Time

Since the physics student lifts her 42 kg body to a distance of 0.25 m, the work done is given by:

Work = Force x Distance

The force exerted by the student is equal to her weight, which is given by:

F = mg

where m = 42 kg (mass of the student) and

g = 9.8 m/s² (acceleration due to gravity)

Therefore,

F = 42 kg x 9.8 m/s²

= 411.6 N (weight of the student)

Hence, the work done by the student is:

Work = Force x Distance

= 411.6 N x 0.25 m

= 102.9 J (joules)

The time taken by the student to complete the pull-up is given as 2 seconds.

Therefore:Time = 2 s

Now we can substitute the values into the formula for power:

Power = Work/Time

= 102.9 J/2 s

= 51.45 W

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The container would hold 2040 cubic feet of shipped goods when it's three-quarters full.

The dimensions of the container are given as 40 ft by 8 ft by 8 ft 6 in. We need to convert the height of 8 ft 6 in to feet by dividing it by 12 since there are 12 inches in a foot:

8 ft 6 in = 8 ft + (6 in / 12) ft

         = 8 ft + 0.5 ft

         = 8.5 ft

Now we can calculate the volume of the container:

Volume = Length × Width × Height

      = 40 ft × 8 ft × 8.5 ft

      = 2720 ft³

To find the volume when the container is three-quarters full, we multiply the total volume by 0.75:

Volume when three-quarters full = 2720 ft³ × 0.75

                              = 2040 ft³

Therefore, the container would hold 2040 cubic feet of shipped goods when it's three-quarters full.

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Answer:

The Mathman guy is wrong, the answer is actually 15.

Step-by-step explanation:

because from the equation that you gave, nicole started with $5 and added $15 every week
thus let y represent the total money and x represent the number of week after x week
nicole save: 15x
because at the beginning he has $5
so, y = 15x + 15
y = mx+c m is the slope c is the y intercept
so slope = 15
so we reach to the conclusion that the rate of change is 15

1) The vertice of all the angles is given as Point M.

2) A point in the interior of ∠LMO is point P.

3) The sides of ∠1 are: MO and MN.

4) The value of x in Right ∠ABC is 35°

2x + 20 = 90

2x = 70

x = 35°

5) Note that ∠3 and ∠4 are angle pairs called Adjacent lines. In this case, both angles sum up to 180°

6) m∠1  is 16°

To deriver m∠1 both angles must be equated to one another based on the theorem of the congruency of Adjacent Angles.

Thus,

4x + 4 = 8x -8 (Collect like terms over the equals sign)

4+8 = 8x -4x
12 = 4x (divide both sides by 4 to get x)

x = 12/4

x = 3

thus m ∠1 =

⇒ 4 (3)  + 4

⇒ 12 + 4

= 16°

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The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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Answer:

\(x<11\)

Step-by-step explanation:

Hi there!

\(2x-5<17\)

Add 5 to both sides

\(2x-5+5<17+5\\2x<22\)

Divide both sides by 2

\(\frac{2x}{2} < \frac{22}{2} \\x<11\)

I hope this helps!

Answer:

4

Step-by-step explanation: midpoint means between so from 1 to b the midpoint is 4

Perimeter = 8pi

Step-by-step explanation:

The Rim if the leaf like shape is actually the quarter fo a circle. and 8 is the radius. So to find the perimeter is diameter time pi so 16 x pi is 16pi. And because its only a quarter its 4pi. Also, because there is 2 ramps 4pi times 2 is 8pi. So the answer is 8 pi.