4. (40 Pts) The Vacation Times website rates recreational vehicle campgrounds
using integers from 0 to 15. Last year they rated over 1,000 campsites. The
ratings were normally distributed with mean 7.6 and standard deviation 1.7.
a. How high would a campsite's rating have to be for it to be considered in
the top 10% of rated campsites? Round to the nearest hundredth.
b. Find the z-score for a rating of 5. Round to the nearest hundredth.

Answer: f(g(-11)) = out  -23

Step-by-step explanation:

The value of the composite function (fog)(-11) is 3√14 - 41.

When the output of one function is given to the input of another function they are called composite functions.

In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).

Given, Are two functions f(c) = 3c - 8 and g(c) = √14 - c.

Now, We know that (fog)(c) is the output of g(c) is in the input of f(c).

So, g(-11) = √14 - 11.

Therefore,

(fog)(-11) = 3(√14 - 11) - 8.

(fog)(-11) = 3√14 - 33 - 8.

(fog)(-11)  = 3√14 - 41.

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Answer:

4 over 6 = 20 over 30

Step-by-step explanation:

it's the same poster but enlarged to be bigger proportionally. So to get 20 from 4 and 30 from 6 you have you multiply by 5. it's a 5 times bigger poster

Answer:

2. (-2, -3)...............

Answer:

y = -5/4 x + 4

Step-by-step explanation:

Make sure the -5/4 is beside the x. It should not look like the x is on the bottom of -5/4 alongside of the 4.

Slope-intercept form of an equation is a shortcut, fill-in-the-blank form you can use to write the equation of a line.

Slope-intercept eq:

y = mx + b

You fill in slope where the m is. And you fill in the y-intercept for the b.

In your problem they gave you the slope: m = -5/4 and the y-intercept: b=4.

Fill the m and b in with the given numbers!

y = -5/4 x + 4

Expression to represent the number of tiles that must be added = 4(n + 2) - 4

Each time a new square floor design is created, there are 8 more new tiles added. To make Designs 2 and 3, respectively, 8 and 16 more tiles were placed on Design 1 and Design 2, respectively.

Possible expressions are:

4n + 4

2(n + 2) + 2n

(n + 2)² - n²

n + n + n + n + 4

4(n + 2) - 4

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The difference of depths between them, and which trench is deeper is (a) 2 km, and the Mariana Trench is deeper

What is the difference of depths between them, and which trench is deeper?

The given parameters are:

Mariana Trench = 11 km

Japan Trench = 9 km

The Mariana Trench is deeper because 11 is greater than 9

The difference between the depth is

Difference = 11 km - 9 km

Difference = 2 km

Hence, the difference of depths between them, and which trench is deeper is (a) 2 km, and the Mariana Trench is deeper

Answer: -80

Step-by-step explanation:

j = -4 and k = -1

j² 5k=

5kj²=

5(-1)(-4)²=

-5(16)=-80

Answer: 4

Step-by-step explanation:

Yes, the resulting value of the expression is 3 which is greater than 2.

Expression:

Expression is defined as a  combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

An expression contains the following:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given,

Expression = -3 + (+4) + 2

Here we need to check the resulting value of the expression is greater than 2 or not.

For that, first we have to simplify the given expression,

Then,

=> -3 + ( 4 + 2)

=> -3 + 6

=> 3

Now, we have know that 3 is greater than 2.

So, the expression is greater than 2.

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A)- The distribution is skewed left.

B)- The histogram has one​ mode, at 74 to 76 years.

The distribution of numerical data is roughly shown by a histogram. Karl Pearson is credited with coining the phrase. The first stage in creating a histogram is to "bin" (or "bucket") the range of values, or split it into a series of intervals, and then count how many values fall into each interval. The bins are often defined as a series of discrete intervals that don't overlap. Histograms provide a general idea of the density of the underlying distribution of the data, and are frequently used for density estimation: estimating the probability density function of the underlying variable. The bins (intervals) must be adjacent and are frequently (but not always) of equal size.

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Answer: 22.1

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

-10 + 5v

Step-by-step explanation:

5(6 + 5v) + 5(-8 - 4v)

We distribute first

30 + 25v -40 - 20v

Then we can combine like terms: 30 plus (-40) is -10.  25v plus (-20v) = 5v.

-10 +5v

Answer:A) write the piecewise function for this company’s sales model

B) how much would an order of 17

Cookies cost        20$

C) how much would a order of 25 cookies cost 22.5

D) what does the equation f(100)=60 mean in this context

Step-by-step explanation: I am sorry but I only know the answers to b and c I hope that I help for those parts. :(

The change in temperature is 33°F.

According to the question we have been given that there are two temperature readings which are, -18°F and 15°F.

We need to find the change in temperature that is we need to find the difference. And for that we will use distance formula.

The formula to find the distance between the two numbers p and q is

                                    = |p-q|

Here , p = -18°F  and q = 15°F

Putting the required values in the above formula we get

                     = |-18 - 15| °F

                     = |-33| °F

                     = 33°F

Hence the change in temperature is 33°F.

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Answer:

x =20°

Step-by-step explanation:

since both sides are equal

3x° = (5x-40°)

3x = 5x - 40°

CLT( collect like terms)

40°= 5x - 3x

40° = 2x

40°/2= 2x/2

20° = x

therefore x =20°

Answer:

t = -24

Step-by-step explanation:

[tex]\frac{4t}{4}=4\left(-6\right)\\t=-24[/tex]

Using linear equations, A rental car company charges prices based on the number of days you rent the car will charge  $185 if you rent the car for 7 days.

A linear equation is an algebraic equation of the form y=mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Let us consider the number of days = x

The equation when number of days(x) <= 4,

⇒ $50 + $25x1 = y1

If the car is rented for more than 4 days, (x>4)

⇒ $45 + $20x2 = y2

Now, we are to calculate the rent for 7 days,

which equals,

y2 = $45 + $20x2

for x2 = 7,

y2 = $45 + $20 × 7

⇒ 45 + 140

⇒ $185

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The number of wins is 68 ad losses is 26.

Let the number of losses = l

Therefore, the number of wins will be: = (2 × l) + 16 = 2l + 16

Total games = 94

Therefore we will add the equation

l + 16 + 2l = 94

3l + 16 = 94

3l = 94 - 16

3l = 78

Divide

l = 78/3

l = 26

Losses = 26

Number if wins = 2l + 16 = 2(26) + 16 = 52 + 16 = 68

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The new depth of the orange juice is now 4cm

From the question, we are to calculate the depth of the orange juice after Jane turns the carton

First, we will determine the volume of orange juice in the carton.

The volume of orange juice in the carton = 10 cm × 6 cm × 8cm

Volume of orange juice in the carton = 480 cm³

Now, we will determine the depth of the orange juice when the carton stands on the shaded face

If carton stands on the shaded face,

The length becomes 20 cm

and

The width becomes 6 cm

Let the new depth of the orange juice be h

Then,

We can write that

480 = 20 × 6 × h

480 = 120 × h

h = 480/120

h = 4 cm

Hence, the new depth of the orange juice is now 4cm

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Here is how the function g is defined.

g(x)=2x²-7 The graph becomes the graph of a function h if the graph is translated vertically downward by 3 units. The function of h(x)=2x²-4.

Given that,

Here is how the function g is defined.

g(x)=2x²-7

The graph becomes the graph of a function h if the graph is translated vertically downward by 3 units.

We have to find the function of h(x).

Translation of the quadratic function.

A quadratic function is presented in the form where in its standard form.

f(x)=a(x-h)²+k

Where (h,k) are the vertex. This form is also referred to as the vertex form of a quadratic function because the vertex occurs in the quadratic function's standard form.

h(x)=g(x)+k

Where g(x)=2x²-7 and k=3

h(x)=g(x)+3

h(x)=2x²-7+3

h(x)=2x²-4

Therefore, the function of h(x)=2x²-4.

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Examples of Algebra Word problems and their expressions are;

1) What is 9 increased by a number cubed?

9 + x³

2) What is the product of the sum of a number and five and the difference of a number and 5? (x + 5) * (x - 5)

Algebraic word problems are defined as questions that require translation of sentences into equations, and after that, we now solve those equations. They usually contain a single variable that depicts an unknown quantity in a real-life scenario.

Examples of Algebra Word problems and their expressions are;

1) What is 9 increased by a number cubed?

9 + x³

2) What is the product of the sum of a number and five and the difference of a number and 5? This is expressed as;

(x + 5) * (x - 5)

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Answer:

8+2g=11

1. subtract 8 from both sides

2g=3

2. Divide both sides by 2

ANSWER: g=1.5

Answer: 4.2

Step-by-step explanation:

√18=

4.24=

4.24=4.2

Answer:

hh jkj

Step-by-step explanation:

Answer:

al la trade la temperature en Seattle

Era de 7c a medical

Step-by-step explanation:

Answer:

2.395

Step-by-step explanation:

0.57+1.825 the answer is 2.395

50.76922

after 50.8 seconds because

50.76922*40 +50.76922*64= 5279.99 which rounds to the admit if feet in a miles

Answer:

thanks for the points

Step-by-step explanation:

thanks once again

The total volume of fluid that the patient takes in is:

V = 1284.13 mL

We need to add the total volume of liquid that the patient consumes.

First, we need to rewrite both volumes in mL, remember that:

1 pint = 568.26 mL

Then for the 1/2-pint of apple juice:

1/2 pint = (1/2)*568.26 mL = 284.13 mL

And:

1L = 1000L

For the liter we have:

1 L = 1000ml

Then the total volume of fluid that the patient takes in is:

V = 284.13 mL + 1000ml = 1284.13 mL

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Answer:

Yes, is there more to the question?

Step-by-step explanation: