The length of a rectangle is 8 feet longer than the width. If the perimeter is 88 feet, find the length and width of the rectangle.

Step-by-step explanation:

\(y = {x}^{2} - 18 \\ y + 18 = {x}^{2} \\ square \: root \: both \: sides \: \\ \sqrt{y + 18} = \sqrt{ {x}^{2} } \)

\(x = \sqrt{y + 18} \)

Answer:

√y + 18 = x

Step-by-step explanation:

Let us solve it now.

y = x² - 18

Take -18 to the left side

y + 18 = x²

Now remove the square of x

√y + 18 = x

The minimum head diameter that will fit the clientele is apprοximately 4.8 inches, and the maximum head diameter that will fit the clientele is apprοximately 8.4 inches.

The radius is the length frοm any pοint οn the surface tο the centre. Similar tο this, the diameter οf a circle is defined as the distance thrοugh its centre between any twο pοints οn its surface.

We may utilise the typical nοrmal distributiοn tο identify the head dimensiοns that will fit the majοrity οf the clients since the pοpulatiοn οf pοssible custοmers has head diameters that are nοrmally distributed.

The standard variatiοn is 0.9 inches, while the average head diameter is 6.6 inches. We need tο identify the z-scοres that cοrrelate tο these prοbabilities in οrder tο determine the head diameters that will fit all males with the exceptiοn οf thοse whοse head diameters fall within the 2.6% range, either the lοwest οr largest.

Using a standard nοrmal distributiοn table οr calculatοr, we find that the z-scοre cοrrespοnding tο a prοbability οf 0.026 (smallest 2.6%) is apprοximately -1.88, and the z-scοre cοrrespοnding tο a prοbability οf 0.974 (largest 2.6%) is apprοximately 1.88.

We can use these z-scοres tο find the cοrrespοnding head diameters using the fοrmula:

z = (x - μ) / σ

where z is the z-scοre, x is the head diameter, μ is the mean head diameter, and σ is the standard deviatiοn οf head diameters.

Fοr the smallest 2.6%, we have:

-1.88 = (x - 6.6) / 0.9

Sοlving fοr x, we get:

x = -1.88(0.9) + 6.6 ≈ 4.8 inches

Fοr the largest 2.6%, we have:

1.88 = (x - 6.6) / 0.9

Sοlving fοr x, we get:

x = 1.88(0.9) + 6.6 ≈ 8.4 inches

Therefοre, the minimum head diameter that will fit the clientele is apprοximately 4.8 inches, and the maximum head diameter that will fit the clientele is apprοximately 8.4 inches.

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Answer:

The first step in developing the geological time scale was studying rock layers and index fossils worldwide. Scientists divided the time between Precambrian time and the present into four units of time or eras. periods are subdivided into units of geologic time called eras.

Step-by-step explanation:

Answer:

Options (1), (4), (5) and (7)

Explanation:

The geological time scale refers to the sequential arrangement of all the major events, including the appearance of organisms and formation of rocks, right from the time of formation of the earth to the geologically recent time.This time scale was constructed based on the study of rock layers that were observed on earth as well as from the study of the index fossils. These fossils are geographically widely distributed and were present for a relatively shorter period of time. The precambrian time refers to the initial time of formation of earth when the earth undergone extensive geological process that led to the formation of the distinct core, mantle and crustal rocks. It includes the eons namely the Hadean, Archean and Proterozoic, ranging from about 4.6 billion years to 540 million years, covering almost 85-90% of the earth's total history.The birds first appeared in the Jurrasic era when the theropod dinosaurs existed. The modern day birds are evolved from that ancestor.Cenozoic era refers to the most recent era that ranges from about 65 million years back to the present time. This period is characterized by the evolution of various organisms and also the humans have first appeared during this era.

The finance charge on Daniyar's May statement is $4.45.

What is finance charge?

The cost of consumer credit expressed as a dollar amount is the financing charge. It includes any fee imposed by the creditor as an incident to or a requirement of the credit extension that is directly or indirectly payable by the customer. It excludes any fee that would be paid in an equivalent cash transaction.

The finance charge is equal to the product of the average daily balance and the monthly periodic rate.

So,

$270.31 x 1.65%

= $270.31 x 0.0165

= $4.45

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128 children and 175 adults

Explanation

Step 1

Set the equations:

a)

Let x represents the number of children

Let y represents the number of adults

On a certain day, 303 people entered the park,so

b) total collected: $3,329.00

the fee for a children is 5.50, so the money from the children fee is = x*5.5=5.5x

the fee for a children is 15, so the money from the children fee is = y*15=15y

if the total is $3,329.00

Step 2

solve the equations:

a) isolate x in equation (1) and replace in equation(2)

now,replace in equation (2)

hence,

the number of admitted adults is 175

b)finally, replace the y value in equation (3)

so, the number of admitted children is 128

I hope this helps you

Answer:

True

Step-by-step explanation:

Let's say the slope of an equation is 3/2. You move the point by moving it up by three and moving it to the right by two or moving it down by 3 and moving it to the left by two.

If the equation was - 3/2. You would move the point by moving it up by three and moving it to the left by two or moving it down by three and moving it the right by two.

Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))

Answer:

The Answer is B

Step-by-step explanation:

Answer: \(x=0,1\)

Step-by-step explanation: Solve for x by bringing x from one side to the other.

\(x^2-x=0\)

Factor out x

\(x(x-1)=0\)

Which means

\(x=0\\x-1=0\)

Which means

\(x=0, x=1\)

Please Mark Brainliest!

Answer: A&D

Step-by-step explanation:

because the first point is (x is 1,y is 13) and it fits with what your given then you move on to the next problem is (x is -2, y is 4) and it fits with what your given.

All your doing is finding the same point

p.s. sorry if i wrong

Two stockpots are similar cylinders. The smaller stockpot has a height of 10 inches and a radius of 2.5 inches, the volume of larger one is 628.32 cubic inches.

We know that, to find volume:

Volume = π * \(r^2\) * h

For the smaller stockpot:

Radius (r) = 2.5 inches

Height (h) = 10 inches

Volume = π * (2.5)² * 10 ≈ 196.35 cubic inches

For the larger stockpot:

Radius (r) = 2.5 inches

Height (h) = 16 inches

Volume = π * (2.5)² * 16

             ≈ 628.32 cubic inches

Thus, the volume of larger one is 628.32 cubic inches.

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Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

Answer:

Erm.

The game on robl. ox

Or real life?

Breaking out of prison is real life

In robl. ox, its also kinda like that, but you steal things

Step-by-step explanation:

Can I have brainest. Im trying to level up :3

Thanks!

Have a good day!

Answer:

We don't need to worry about the displaystyle- {3} −3 anyway, because we dcided in the first step that displaystyle {x}ge- {2} x ≥ −2. So the domain for this case is displaystyle {x}ge- {2}, {x}ne {3} x≥ −2,x≠ 3, which we can write as displaystyle {left [- {2}, {3}right)}cup {left ({3},inftyright)} [−2,3)∪(3,∞).

Step-by-step explanation:

The equation that represents Diego's cash flow is cash flow = $3,000-$2,715.

Cash flow is the difference between cash inflows and cash outflows. Cash inflow are additions to the cash flow. An example of cash inflow is monthly income. Cash outflow would reduce the cash flow. An example of cash inflow is expenses.

Cash inflow = income - expense

$3,000 - $2,715

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Answer:

36 "12 "5ori mai mare -19 =1237

Hi!

The purple triangle is the pre-image.

See those little quotation marks on the letters of the blue triangle?

When we say the name of the triangle, we would say triangle ABC prime, meaning it's the post image, because it's like a copy of the other one, hence the quotes.

The area of carpet required to be bought for the living room is 127.75 square feet.

Thus the area of carpet required is 127.75 square feet.

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Answer:

is the answer A????????????

to be honest I’m only here for the answers but I also need the points

Answer:

mnp = 30

Step-by-step explanation:

= -2 × 3 × -5

= -6 × -5

= 30

Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.

11+13+14+16+17+18+20+20+21+24+25+29 = 228

There are 12 numbers, so divide by 12.

228/12 = 19. The mean is 19.

Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.

(Side note: yes, median and mean can be the same.)

Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.

Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.

999.224

Step-by-step explanation:

Expected value = Summation of (x•px)

px is addressed as pdf (probability distribution function)

x px. x•px

1. 1/3125. 1/3125

20. 4/625. 16/125

160. 32/625. 1024/125

640. 128/625. 16384/125

1280. 256/625 65536/125

1024. 1024/3125. 335.544

total:. 1. 999.224

taking my pdf as x/3125

The expected value of the binomial distribution is 4

The expected value of a binomial distribution is calculated using:

\(E(x) = \sum x * P(x)\)

Using the table of values, we have:

\(E(x) = 0 * 1/3125 + 1 * 4/625 + 2 * 32/625 + 3 * 128/625 + 4 * 256/625 + 5 * 1024/3125\)

Evaluate the expression

E(x) =  4

Hence, the expected value of the binomial distribution is 4

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Answer/Explanation:

There are basically 4 main levels of measurement or scales of measurement. They are:

1. Nominal scale: this deals with variables that are categorised, and numbers o i.e.r alphabets assigned are just for the sake of naming, and as such has no numeric value.

2. Ordinal scale: this scale is only used to show order or ranking if variables.

3. Interval scale: in this type of scale, numbers that are ordered have meaningful divisions.

4. Ratio scale: this can be like to interval scale, in that, the ordered numbers have meanings. However, unlike the interval scale, when zero is used, meaningful deductions can be made as zero is meaningful.

Therefore, level of measurement for the variables given in the question are as follows:

a. Distance students travel to class: ratio scale. I.e. zero in this scale is meaningful and would mean no distance was travelled

b. A classification of students by the state of birth: nominal scale, i.e. this only serves the purpose of categorization. The scale here has no numeric value,

c. A classification of students by ethnicity: nominal scale

d. A classification of workers by industry: nominal scale

e. Selling price of the Statistics textbook: ratio scale

f. Student IQ ratings: interval scale, i.e., zero in this scale is not meaningful.

The probability that both events B and C will occur is:

P(B and C) = 9/20

Probability is the likelihood of an event to occur. It is expressed as a number in the range from 0 to 1.

The probability of an impossible event is 0, that of an event that is certain to occur is 1.

We have:

The probability that event B will occur, P(B) = 3/4

The probability that event C will occur, P(C) = 3/5

The probability that both events B and C will occur is:

P(B and C) = P(B) × P(C)

P(B and C) = 3/4 × 3/5

P(B and C) = 9/20

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Answer:

a. True

Step-by-step explanation:

A series in the field of mathematics is defined as the operation of adding up or summation of infinitely many quantities of terms of a sequence.  In other words, it is the sum of the terms of the sequence provided.

Another way of defining a 'series' is it is list of numbers with the "addition" operations between the numbers.

Thus the answer is (a). True

Answer:

Step-by-step explanation:

                                                   error

Answer:

x ≈ 75.2

Step-by-step explanation:

using the tangent ratio in the right triangle

tan62° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{40}\) ( multiply both sides by 40 )

40 × tan62° = x , then

x ≈ 75.2 ( to the nearest tenth )

Answer:

sin(A) = 2rad19/20 = rad20/10

cos(A) = 18/20 = 9/10

tan(A) = 2rad19/18 = rad19/9

Answer:

Step-by-step explanation: pemdas

Answer:

15 (A)

A is the legit answer.