the quotient of f and a quantity g increased by 11 written as an expression

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Explanation:

Let's say the shed comes in 40 equal pieces. Each piece takes the same amount of time to assemble. Why am I picking 40? Because 8*5 = 40.

This will allow us to rewrite the fractions with a common denominator.

So Jack can build 8/40 of the shed in the same amount of time Kyle can build 25/40 of the shed.

Instead of writing fractions (which honestly are a pain to deal with), I'm going to write "8 pieces" and "25 pieces" to represent "8/40" and "25/40" respectively. Just keep in mind that there are 40 pieces total.

So again, Jack can assemble 8 pieces in the time it takes Kyle to assemble 25 pieces.

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The ultimate goal is to have Kyle assemble 40 pieces while Jack puts together some unknown number of pieces (some number between 8 and 40). Let's say it's x.

We can then form this proportion

\(\frac{\text{Jack's initial 8 pieces}}{\text{x pieces}}=\frac{\text{Kyle's initial 25 pieces}}{\text{goal of 40 pieces}}\)

which simplifies or cleans up to

5/x = 25/40

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Let's solve for x using cross multiplication

8/x = 25/40

8*40 = x*25

320 = 25x

25x = 320

x = 320/25

x = 12.8

So in the time it takes Kyle to assemble all 40 pieces, Jack can put together 12.8 pieces of the shed. However, we can't have Jack put together some fractional piece, because each "piece" is as small as it gets. We can't get any smaller. It would be like saying a fractional part of an atom or a lego block.

So we'll round 12.8 down to 12.

Jack can assemble 12 pieces in the time it takes Kyle to assemble 40 pieces.

Let's then convert this back to fraction form

12 pieces = 12/40 of a shed = 3/10 of a shed.

Answer:

oop lol i must be a rat then

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

I is be the top rat

I AM THE RAT LORD

BOW DOWN TO ME YOU PEASANTS

Answer: 0.655

Step-by-step explanation:

Let X be a random variable that represents percent of fat calories that a person in America consumes each day.

As per given , X is normally distributed with a mean \(\mu=36\) and a standard deviation \(\sigma=10\).

Sample size : n= 16

The probability that the average percent of fat calories consumed is more than 35:

\(P(\overline{X}>35)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{35-36}{\dfrac{10}{\sqrt{16}}})\\\\=P(Z>\dfrac{-1}{\dfrac{10}{4}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>\dfrac{-4}{10})\\\\=P(Z>-0.4)\\\\=P(Z<0.4)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.655\ \ \ [\text{By p-value table}]\)

Hence, Required probability =0.655

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.

Let x represent the estimated number of fish in the lake

Hence,

x /10 = 7/2

Cross multiply

2x = 10 × 7

2x = 70

Divide both side by 2x

x =70/2

x = 35 fish

Therefore 35 is the number of fish.

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Answer:

Step-by-step explanation:

Answer: B i think

Step-by-step explanation:

A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.

Answer:

Count by groups of 9.There are 4 groups

Answer:

Pretty sure it's x^2−3x+2/4x-16  

Step-by-step explanation:

Answer:

a < 42

Step-by-step explanation:

Question : 4a + 9a - 6a < 42

Answer :

4a + 9a - 6a < 42

Combine like terms.

13a - 6a < 42

7a < 42

Divide both sides by 7.

a < 42

Hope this helps you :-)

Let me know if you have any other questions :-)

Answer:

\(\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution :- \: a \: < \: 6 }}}}}}}}\)

Step-by-step explanation:

We need to solve the below given inequality \(\downarrow\)

For this, we need to combine all the like terms at first. So

We know that, 42 is divisible by 7. So, let's divide both the sides of the inequality by 7.

_________

Hope it helps!

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\(\mathfrak{Lucazz}\)

Answer:

0.5714

Step-by-step explanation:

The Z-table on the problem isn't included here, but if you go to 0.1 on the left side of the table, then find .08 on the top of the table, the box that they overlap in is 0.5714.

.1+.08=.18, so that's how you use a Z-table.

The value of P(x < 0.18) is 0.5714 if in a standard Normal distribution z = 0.18 option third is correct.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have:

In a standard Normal distribution, what proportion of observations lie below z = 0.18

z = 0.18

In the bell curve draw a vertical line at z = 0.18

The left area of the bell curve:

From the Z table:

P(x < 0.18) = 0.5714

Thus, the value of P(x < 0.18) is 0.5714 if in a standard Normal distribution z = 0.18 option third is correct.

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Answer:

it is not a function

Step-by-step explanation:

Answer:

-2 is the lower bound for the real zeros

Step-by-step explanation:

The value of the test statistic z is, 2.31.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

It is claimed that less than 25% of adults prefer Italian food as their favorite ethnic food.

And,  A survey of 1122 adults resulted in 314 who say that Italian food is their favorite ethnic food.

Now,

⇒ P = 25%

⇒ q = 100% - 25% = 75%

⇒ n = 1122

Hence, We get;

⇒ z = (314/1122 - 25%) / √(25% 75% / 1122)

⇒ z = 2.31

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Answer:

d)  1.5

Step-by-step explanation:

from point to point the graph is increasing by 1.5 units in height for every 1  unit of width, so the constant is 1.5

Applying log rules leaves us with the following equation:

x^2 + 8 = 6x

Change to standard form and solve using factoring.

x^2 - 6x + 8 = 0

(x - 4)(x - 2) = 0

x = 4

x = 2

Hope this helps!

By the end of these games, the expectation to lose is 27.3 chips.

A new management planning tool called a tree diagram shows the hierarchy of activities and subtasks required to accomplish a target.

Given, For each game, the winning amount for 1 chip bet is as follows:

P(X = 1) = 3*(1/6)*(5/6)2 = 75 / 216

P(X = 2) = 3*(1/6)2*(5/6) = 15 / 216

P(X = 3) = (1/6)3 = 1/216

P(X = -1) = (5/6)3 = 125 / 216

Therefore expected value here is computed as:

E(X) = (75 + 2*15 + 3*1 - 125) / 216 = -17 / 216

Total chips bet = 5*30 + 10*20 = 350

Therefore the expected value here is computed as:

= 350*(-17/216)

= -27.3

Therefore, expect to lose about 27.3 chips here.

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Answer:

x=5

Step-by-step explanation:

since both of these have an x value of 5 this is an undefined slope so it is an x= equation

And x=5

Hopes this helps please mark brainliest

Answer:

m = 8

Step-by-step explanation:

4 x 2

you just have to multiply exponents

Answer: 162

Work: 152 - 30 which equals 122, then add 40, and you get 162.

I hope this helps for something, and Happy Holidays! :)

Answer: continental drift

Step-by-step explanation: as far as I'm aware, they developed the theory of plate tectonics by the continental drift theory and that the world looks like a puzzle, I may be wrong but this is all I know

Answer:

C. 4 sqr 2, sorry for the answer being late, hope this helps some one tho :)

Step-by-step explanation:

I took the quiz and got it correct

Answer:

The answer would indeed be C.

Step-by-step explanation:

Was in my test on edg.

Answer:

acute because your a cutie

Step-by-step explanation:

The reasonable domain for the function is (b) x > 0

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

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.

Given that

Dimension of matrix  = 7×5

Rank of matrix = 4

The range space of A,

Which is a subspace of R, is known as R(A).

It is made up of all conceivable linear combinations of A's columns.

The dimension of R(A) =  rank of A,

Which is 4 in this case.

The null space of the transpose of A,

Which is also a subspace of R, is designated as N(AT).

All potential answers to the equation ATx = 0,

Where x is a R column vector, are included in it.

N(AT) has a dimension = nullity of A,

which in this case is 3 in this example.

The range space of the transposition of A, is designated as R(AT).

The rows of A are arranged in all conceivable linear configurations.

The rank of A = 4

Thus it equal to dimension of R(AT).

N(A) is the null space of A.

Axe = 0, where x is a column vector in R, are included in it.

The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).

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Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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Answer:

y=1/2x+1

Step-by-step explanation:

you can literally do rise over run to get the answer

Answer:

\(\frac{3}{16}\)

Step-by-step explanation:

The common ratio is \(\frac{1}{2}\)

24, 12, 6, 3, \(\frac{3}{2}\), \(\frac{3}{4}\), \(\frac{3}{8}\), \(\frac{3}{16}\)

so divide each term by 2

plz mark m brainliest. :)

Based on the sample response given, the statements included in the explanation on the horizontal line test are:

The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.

To pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places. If this happens, then there is an inverse and the inverse itself is a function.

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