Assume that the masses of adult men can be modelled by the Normal

distribution with mean 75 kg and standard deviation 5 kg.

The probability that an adult man, chosen at random, will have a mass greater

than 77. 5 kg is

(4 d. P. )

The probability that an adult man, chosen at random, will have a mass between

76. 6 kg and 83. 5 kg is

(4 d. P. )

62% of adult men have a mass greater than

kg (1 d. P. )

The interquartile range for the masses of adult men is

kg (1 d. P. )

Rοunding tο the nearest hundredth, the surface area οf the sphere is apprοximately 50.27 square feet.

Surface area is the measure οf the tοtal area that the surface οf an οbject οccupies. It is a twο-dimensiοnal measurement, typically expressed in square units, such as square meters (m²) οr square feet (ft²).

Tο find the surface area (A) οf a sphere with a given circumference (C), we first need tο find the diameter (d) οf the sphere.

The fοrmula fοr the circumference (C) οf a sphere is:

C = 2πr

where r is the radius οf the sphere.

Given that the circumference is 4π ft, we have:

4π = 2πr

Sοlving fοr r, we get:

r = 2 ft

Nοw we can use the fοrmula fοr the surface area οf a sphere with diameter d:

A = 4π(d/2)²

Substituting d = 4 ft (since diameter = 2r), we get:

A = 4π(4/2)²

A = 4π(2)²

A = 4π(4)

A = 16π

A ≈ 50.27

Therefοre, rοunding tο the nearest hundredth, the surface area οf the sphere is apprοximately 50.27 square feet.

A ≈ 50.27

Therefοre, rοunding tο the nearest hundredth, the surface area οf the sphere is apprοximately 50.27 square feet.

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Answer:144 ft³

Step-by-step explanation:

The width of the sandbox is half of its length, so we can start by finding the length:

Length = 12 feet

Width = 1/2 * Length = 1/2 * 12 feet = 6 feet

Height = 2 feet

The volume of sand needed to fill the sandbox is the product of its length, width, and height:

Volume = Length * Width * Height

Volume = 12 feet * 6 feet * 2 feet

Volume = 144 cubic feet

After answering the presented question, we can conclude that As a equation result, approximately 44.4% of the original trees are still living after three years.

An equation is a mathematical statement that proves the equality of two expressions connected by the equal symbol '='. 2x - 5 Equals 13, for example. Expressions include 2x-5 and 13. The character '=' joins the two expressions. A mathematical formula with two algebraic expressions on either side of an equal sign (=) is known as an equation. It demonstrates the relationship of equivalence between the left and right formulas. In every formula, LHS = RHS (left side = right side).

Assuming that all of the trees on the farm are cut down each year, the percentage of trees that survive after three years is as follows:

60% of the trees die after the first year, leaving only 40% of the original trees.

Following the first year, 40% of the original trees are still standing.

Following the second year, 40% of the original trees remain + (40% of the original trees * 100% - 60% = 40% stump growth) = 64% of the original trees remain.

Following the third year, 40% of the original trees remain + (64% of the original trees * 100% - 60% = 4.4% stump growth) = 44.4% of the original trees remain.

As a result, approximately 44.4% of the original trees are still living after three years.

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[tex]\begin{cases} x = \frac{4}{3} &\implies 3x=4\implies 3x -4=0\\ x = -1 &\implies x +1=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( 3x -4 )( x +1 ) = 0} \hspace{5em}\stackrel{\textit{now assuming that}}{a=1}\hspace{3em}1( 3x -4 )( x +1 ) = 0 \\\\\\ ~\hfill {\Large \begin{array}{llll} 3x^2-x-4=0 \end{array}}~\hfill[/tex]

Answer:

9 1/36

Step-by-step explanation:

set 7/9 and 1/4 to a common denominator

so lets do 36,

7 x 4 = 28

9 x 4 = 36

1 x 9 =9

4 x 9 =36

28/36 + 9/36 = 1 1/36

1+8 = 9

The amount of they share altogether is 90000

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

For example if two boys are to share 10 mangoes with ratio 1:4. The first boy will get 1/5 × 10 = 2 mangoes and the other boy will get 4/5 × 10 = 4×2 = 8 mangoes.

Three brothers are to share in ratio 3:4:5. The highest ratio is 5. And the the highest ratio gets 37500. The total ratio is 12 i.e 3+4+5 = 12

Represent the total money by x

Then, 5/12 × x = 37500

5x = 37500 × 12

5x = 450000

divide both sides by 5

x = 450000/5

x = 90000

therefore the amount they shared is 90000.

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Answer:16.7%

Step-by-step explanation: He has a 33% chance of losing in chess and 50% of losing in pool. So when you convert the two percentages to decimals and multiply them the result is 0.167. Convert the number back into a percentage, it's 16.7%.

Answer:

identify a relationship among Tn,Sn and Sn-1 where n>1

The baby will drink 45 liters of milk in 30 days when baby drink 3 liters of milk in 2 days.

To solve this problem, we can set up a proportion using the fact that the amount of milk the baby drinks is directly proportional to the number of days:

milk consumed / number of days = constant

Let's call the constant of proportionality k. Then we can write:

3 liters / 2 days = k

To find the value of k, we can solve for it:

k = 3 liters / 2 days = 1.5 liters/day

Now we can use this value of k to find how much milk the baby will drink in 30 days:

milk consumed / 30 days = 1.5 liters/day

Multiplying both sides by 30, we get:

milk consumed = 1.5 liters/day x 30 days = 45 liters

Therefore, the baby will drink 45 liters of milk in 30 days.

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The complete question is :

A baby drink 3 liters of milk in 2 days . How much milk will baby drink in 30 days.

Answer:

yea

Step-by-step explanation:

u need more details

The student's error is adding two non-adjacent angles and then solving for x.

What are the opposite angles?

Opposite angles are the angles directly opposite each other where two lines cross. The intersection point is called the vertex, which is where the lines connect to form the angle. Opposite angles are also called vertical angles.

The student's error is that they incorrectly added the two given angles together.

The angles 2x+6 and 60 are not adjacent angles and therefore cannot be added together to find the sum of the two angles.

In the figure, if the angle formed by the intersection of the lines is labeled as angle A, then we know that angle A is equal to 2x+6 and angle B is equal to 60.

These two angles are opposite angles and not adjacent angles, so they do not add up to 180 degrees.

Therefore, the student's error is adding two non-adjacent angles and then solving for x.

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Answer:

0.032%

Step-by-step explanation:

192192/600600600 x 100% = 0.00032 x 100%

0.032%

Answer:

[tex]2x^{2} +0x+-1=0[/tex]

Step-by-step explanation:

The standard form of a quadratic equation is:

The expression provided ([tex]2x^{2} -1[/tex]), can be rewritten in standard form by setting it to equal zero:

In this case, a would be equal to 2, b equal to 0, and c equal to -1.

If the length of Anna's square pencil case is 6 in and the width is 4 1/2 in, then the area of the pencil case is 27 square inches

The area of a rectangle can be calculated by multiplying its length by its width.

In this case, Anna's pencil case is a square, which means that its length and width are equal. The length of the pencil case is given as 6 inches, so its width is also 6 inches.

Therefore, the area of the pencil case is:

Area = length x width

Substitute the values in the equation

Area = 6 in x 4.5 in

Area = 27 square inches

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The density of the cuboid is 10.4 g/cm3 ( 1 d.p)

Density is the ratio of mass of a substance to its volume. It is measured in kg/m³ or g/cm³. It is a scalar quantity.

The density of a substance bis expressed as;

d = mass/volume

The mass = 416g

and the volume = l× w × h

length of the cuboid = 4cm

width of the cuboid = 2cm

and height = 5cm

Therefore the volume is calculated as :

V = 4× 2 × 5

V = 40cm³

the volume of the cuboid is 40cm³

The density can now be calculated as :

density = mass/volume

density = 416/40

= 10.4g/cm³

therefore the density of the cuboid is 10.4 g/cm³

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A coffee pot that holds 2 quarts is equal to 8 cups. To determine the number of cups in a coffee pot that holds 2 quarts, multiply 2 quarts by 4 cups.

A quart is a unit of measurement that is equal to 4 cups of liquid. This means that a coffee pot that holds 2 quarts is equal to 8 cups. To figure out how many cups are in a quart, use the following equation: 1 quart = 4 cups. To determine the number of cups in a coffee pot that holds 2 quarts, multiply 2 quarts by 4 cups. The result is 8 cups. In other words, a coffee pot that holds 2 quarts is equal to 8 cups of liquid.

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According to the question the equilibrium price of tea is 2.10.

Equilibrium is a state of balance in which all forces acting on an object are equal and opposite, so no net force is acting on the object. This state of balance is also known as a "steady state". Equilibrium is an important concept in many areas of science, such as physics and chemistry, because it allows us to analyze how objects interact in a stable environment. Equilibrium can also be used to describe a state of financial balance, where all parties involved in a transaction are satisfied with the outcome.

The equilibrium price can be found by setting the two equations equal to one another and solving for P.
34P + 53 = -25P + 177
59P = 124
P = 124/59
P = 2.10
Therefore, the equilibrium price of tea is 2.10.

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Answer:[tex]\frac{5}{7} \\\\ \\\\\frac{3}{4} \\\\\frac{19}{25} \\\\\frac{11}{5}[/tex]

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

In order for a set of ordered pair to be a function all the x values need to be different. In this case we have two of the same x values so this set won't be a function.

Expressing this in scientific notation, we get: Distance traveled in a week = 3.77 x [tex]10^7[/tex] miles/week

Speed is a measure of how fast an object is moving, usually expressed in units of distance per unit time. It is defined as the distance traveled by an object divided by the time it takes to travel that distance.

The speed of the sun orbiting the Milky Way galaxy is 135 miles per second.

A. To find how far the sun travels in an hour, we need to multiply its speed by the number of seconds in an hour:

Distance traveled in an hour = 135 miles/second x 60 seconds/minute x 60 minutes/hour

Distance traveled in an hour = 486,000 miles/hour

Expressing this in scientific notation, we get:

Distance traveled in an hour = 4.86 x [tex]10^5[/tex] miles/hour

B. To find how far the sun travels in a week, we need to multiply its speed by the number of seconds in a week:

Distance traveled in a week = 135 miles/second x 60 seconds/minute x 60 minutes/hour x 24 hours/day x 7 days/week

Distance traveled in a week = 37,656,000 miles/week

Expressing this in scientific notation, we get:

Distance traveled in a week = 3.77 x [tex]10^7[/tex] miles/week

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Answer:

Step-by-step explanation:

The probability of winning the new boat is unlikely, since there is only one boat behind one of the five doors, while the other four doors have joke prizes. Assuming that each door has an equal chance of being selected by the contestant, the probability of choosing the door with the boat is 1/5 or 20%. However, the probability of not winning the boat is 4/5 or 80%. Therefore, it is unlikely that the contestant will win the boat.

0.90 x $11.00 = $9.90

This is the price of the CD before taxes are applied. To find the total price, including tax, we need to add the 7% sales tax to the discounted price:

Total price = discounted price + (sales tax x discounted price)

Total price = $9.90 + (0.07 x $9.90)

Total price = $9.90 + $0.69

Total price = $10.59

Therefore, the total price of the CD, including tax, is $10.59.

Please mark this answer as brainliest if possible.

The best estimate for the total amount of time Tim would spend answering e-mails over the course of 100 days is 100 hours with a standard deviation of 0.53 hours.

To find the total amount of time Tim would spend answering emails over the course of 100 days, we need to use the concept of the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approaches a normal distribution regardless of the underlying distribution.

To calculate the standard deviation of the total amount of time Tim spends answering emails over 100 days, we can use the formula:

standard deviation = square root of (n * variance)

where n is the number of days and variance is the variance of the amount of time Tim spends in a day answering emails.

Substituting the values, we get:

standard deviation = square root of (100 * 0.0028) = 0.53 hours

Therefore, Tim would spend an average of 100 hours over the span of 100 days responding to emails, with a standard deviation of 0.53 hours, according to the best estimate.

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Answer:79

Step-by-step explanation:

y=12+91=79

The cοοrdinates οf the fοurth vertex οf the parallelοgram are (19/2, 19.5).

A spherical οr elliptical cοοrdinate system knοwn as the geοgraphic cοοrdinate system is used tο measure and transmit pοsitiοns οn Earth as latitude and lοngitude.

First, we can find the distance between pοints Y and q, which will be the same as the distance between pοints 5 and B since they are οppοsite sides οf the parallelοgram:

Distance Yq = [tex]\sqrt{[(10-8)^2 + (5-10)^2] }[/tex]

Distance Yq = [tex]\sqrt{8 + 25 }[/tex]

Distance Yq =[tex]\sqrt{ 33}[/tex]

Distance 5B = [tex]\sqrt{[(3-2)^2 + (2-3)^2] }[/tex]

Distance 5B = [tex]\sqrt{2}[/tex]

Since οppοsite sides are cοngruent, √33 = √2x, where x is the length οf the missing side οf the parallelοgram. Sοlving fοr x, we get:

x = (33/2)

Next, we can find the slοpe οf the line passing thrοugh pοints Y and q,

Slοpe Yq = (10-5)/(8-10) = -5/2Slοpe B-missing vertex = -5/2

write the equatiοn οf the line passing thrοugh B and the missing vertex:

y - 2 = (-5/2)(x - 3)

Simplifying, we get:

y = (-5/2)x + (19/2)

Therefοre, the cοοrdinates οf the missing vertex are (19/2, x), where x = 2 + (33/2) = 19.5.

Sο the cοοrdinates οf the fοurth vertex οf the parallelοgram are (19/2, 19.5).

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Answer: 184 cm^2

Step-by-step explanation:

1st: separate the figure into smaller shapes

-> one large rectangle (20 cm x 7 cm) =140 cm

-> one triangle ( (15-7)= 1/2 (8 cm x 3 cm ) = (20-13-4) = 12 cm

-> one rectangle (4 cm x 8 cm ) = 32 cm

140 + 32 + 12 = 184 cm

Answer: 184 cm2

Step-by-step explanation: Break the shape into common shapes. If you continue the line of 13 cm you now have a rectangle and trapezoid.

The rectangle area is 140

20 x 7 = 140

The trapezoid area is 44

The 15 cm line is cut into 7 and 8

the height of the shape is now 8

Base A ( the top ) is 4 cm

Base B (the bottom) is 7

A = a+b over 2h = 4+7 over 2·8 = 44

now add the numbers

(1) In General Ledger, Cash Account is $ 13900 , In revenue account The balance is $ $28600, in expense account the balance is $ $13200 and Trial balance is $28600.

(2) The income statement is $ 15400.

(3) Statement of Changes in Stockholders' Equity is $13900.

(4) Balance sheet is $ 13900.

Record the effects of each accounting event under the appropriate general ledger account headings.

Using the accounting equation, we have:

Asset = Shareholder's equity + Liabilities

Cash = Retained earning + Common stock

Cash = $28,600 - $13,200 - $1,500 = $13,900 = Assets

Retained earning = $28,600 - $13,200 - $1,500 = $13,900

Common stock = 0

Retained earning + Common stock = $13,900 + 0 = Shareholder's equity

Liabilities = 0

Therefore, we have:

(1) Majka Company

Accounting Equation for Year 1

Asset ($) = Shareholder's equity + Liabilities

13,900    =      13,900                    +        0

(2) Prepare an income statement

Details                                 Amount ($)

Revenue                                28,600

Expenses                               (13,200)

Net Profit                                15,400

Dividend                                (1,500)  

Retained earning                   13,900  

(3) Statement of changes in stockholders’ equity

Details                                      Amount ($)                        

Common stock                                0

Beginning retained earning           0

Retained earning for the year     13,900  

Stockholders’ equity                   13,900

(4) Mijka Company, Balance sheet as at December 31, Year 1,

Details                                      Amount ($)    

Assets:

Cash                                            13,900

Liabilities:  

Current and Long terms                  0      

Net total assets                           13,900  

Stockholders’ equity:

Common stock                                0

Retained earning                         13,900  

Stockholders’ equity                   13,900

Complete Question:

Majka Company was started on January 1, Year 1. During Year 1, the company experienced the following three accounting events: (1) earned cash revenues of $28,600, (2) paid cash expenses of $13,200, and (3) paid a $1,500 cash dividend to its stockholders. These were the only events that affected the company during Year 1. Required Record the effects of each accounting event under the appropriate general ledger account headings. Prepare an income statement, statement of changes in stockholders’ equity, and a balance sheet dated December 31, Year 1, for Mijka Company.

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The value of x which would make GHJK a rhombus would be 42 degrees.

Nora can construct a kite with diagonals that bisect each other if the kite is in the shape of a rhombus.

The way that a Rhombus is drawn is such that ∠ GKJ and ∠ HGK would add up to 180 degrees. If these angles are bisected as shown, then the corresponding angles would add up to 90 degrees as a result.

If this shape is to be a rhombus then the value of x would be :

= 90 - 48

= 42 degrees

A kite is a quadrilateral with two pairs of adjacent congruent sides. The diagonals of a kite intersect at a right angle, but they do not necessarily bisect each other.

If the diagonals of a kite bisect each other, it means that they cut each other into two equal parts. This can only happen if the kite is a rhombus, which is a special type of kite where all four sides are congruent.

Therefore, if Nora wants to construct a kite with diagonals that bisect each other, she would need to ensure that the kite is a rhombus.

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