Find the value of x.
X =
9
12
X-1

Answer:

1) \( x= \mu +z\sigma = 1.25 -1.25*0.07= 1.16\)

The best answer woud be:

c. $1.16

2) If we find the z score for the first test we got:

\( z=\frac{630-475}{75}= 2.07\)

And for the second test:

\( z=\frac{45-32}{6}= 2.17\)

The z score for the second test is greater so then the answer would be:

b. second test

Step-by-step explanation:

For the first question:

For this case we have the following parameters are:

\(\mu = 1.25 , \sigma =0.07\)

And we also know that the z score is \( z=-1.25\) and we can use the z score formula given by:

\( z=\frac{X -\mu}{\sigma}\)

And solving for x we got:

\( x= \mu +z\sigma = 1.25 -1.25*0.07= 1.16\)

The best answer woud be:

c. $1.16

For the second question:

First test \(\mu = 475, \sigma =75\)

Second test \( \mu= 32, \sigma=6\)

630 for the first test and 45 for the second

If we find the z score for the first test we got:

\( z=\frac{630-475}{75}= 2.07\)

And for the second test:

\( z=\frac{45-32}{6}= 2.17\)

The z score for the second test is greater so then the answer would be:

b. second test

Answer:

7

Step-by-step explanation:

Let x be the amount of cups he ordered per month.

There are 12 months in a year.

Therefore, 12 times x plus 16 (the amount he has left) must equal to 100. Thus:

\(12x+16=100\)

Subtract 16 from both sides:

\(12x=84\)

Divide both sides by 12:

\(x=7\)

Therefore, Len ordered 7 cups of tea per month.

The function f(x)* = 1 + x^2 is defined for all real numbers x, so the domain is all real numbers, or (-∞, ∞).

In determining the function's output values, one must consider its collection of feasible results to extract the range. Reviewing f(x)* exhibits a minimum value of 1 due to x^2 being perpetually non-negative, while adding another factor merely preserves positivity.

Concurrently as x skyrockets, so too does the value of f(x)* given that approaching infinity generates infinitely larger powers than any constant coefficient subordinated by it. Consequently, the overall range of f(x)* becomes [1, ∞), enwrapping all feasible solutions equivalent or superior to 1.

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We can plοt the pοints (0,1) and (1,-11) οn the line tο graph the functiοn p(x) = 1 - 12x.

A functiοn frοm a set X tο a set Y is an assignment οf an element οf Y tο each element οf X. The set X is called the dοmain οf the functiοn and the set Y is called the cοdοmain οf the functiοn.

A functiοn, its dοmain, and its cοdοmain, are declared by the nοtatiοn f: X→Y, and the value οf a functiοn f at an element x οf X, denοted by f(x), is called the image οf x under f, οr the value οf f applied tο the argument x.

Functiοns are alsο called maps οr mappings, thοugh sοme authοrs make sοme distinctiοn between "maps" and "functiοns" (see § Other terms).

Tο plοt twο pοints οn the line fοr the functiοn p(x) = 1 - 12x, we can chοοse any twο values οf x and find the cοrrespοnding values οf p(x).

Fοr example, if we chοοse x = 0, then p(0) = 1 - 12(0) = 1, sο the pοint (0,1) is οn the line.

If we chοοse x = 1, then p(1) = 1 - 12(1) = -11, sο the pοint (1,-11) is οn the line.

Therefοre, we can plοt the pοints (0,1) and (1,-11) οn the line tο graph the functiοn p(x) = 1 - 12x.

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Answer:

n(t) = 11e^0.019t

Step-by-step explanation:

The estimated population in 2010 = 11,000,000 = initial population

The growth rate = 1.9% per year = 1.9/100 =

The exponential growth model follows the general form :

n(t) = ae^rt

a = Initial population ; r = growth rate ; t = period

Hence, we have ;

n(t) = 11e^0.019t in millions

The sample mean of the distribution is an estimate of the population mean

The mean of the sampling distribution of sample means is 51

The given information are:

Population mean, μ = 51

Standard deviation, σ = 9

Sample size, n = 36

The sample mean is an estimate of the population mean.

So, we have:

\(\bar x = \mu\)

Substitute known values

\(\bar x = 51\)

Hence, the mean of the sampling distribution of sample means is 51

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Answer:

C.) 10

Step-by-step explanation:

Answer:

C because you would have completed every outcome

Answer:

x=8 ???

Step-by-step explanation:

??? not 100% sure but im pretty sure ;w;

Answer:

=> 8x

Step-by-step explanation:

=> Take X as the number of episodes taped in 8 seasons.

=> So, it's 8x

Answer: 382.728 Estimate: nearest ten: 380     nearest tenth: 382.7

The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.

Given:

The standard deviation, d = 182.56,

The mean, m = 265.95,

The observation value, X = 235.90

Calculate the z score by the following formula given below,

Z = (X - m) / d,

Here, Z is the Z score,

Z = 235.90 -  265.95 / 182.56

Z =  -0.165

Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

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The value of x is $53.34 dollars but no higher than $115 and for y is as low as $160, but no higher than $345.

According to the question,

Diane will donate "up to $460" in charity, which means it can be less than or equal to 460, but not any higher. Then,

$460 to charity (max)

$160 + to Educational (160 being the minimum)

It is also given , Education is 3x (or higher) than City.

If we denote x to City, and y to Educational, then,

x + y = 460 . And we know that y ≥ 3x

x + 3x = 4x = 460

x = 115.

This means when she donates $115 to City, she will donate 3x (or $345) to Educational. These are the max value

She will not donate higher than $460.

A minimum requirement was placed on Educational earlier.

When y = 160,

x will be y/3,

=> x = 160/3 =  $53.34. This means she donated 213.34, which is still less than $460

Therefore, x (which is City) can be the range of $53.34 dollars but no higher than $115.

y (which is Educational) will be as low as $160, but no higher than $345.

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The simple radical form is 72√2.

What is simple radical form?

If we know the prime factorization of 32, we can write the simplest radical form of the square root of 32. Thus, the prime factorization of 32 is 2 × 2 × 2 × 2 × 2. If it is written in the radical form, then the simplest radical form of the square root of 32 is 4√2. Square Root of 32 in Radical Form: 4√2.

Given,

3√2•2√8•√3•√6

= 3×√2×2×√8×√3×√6

as we know √ab = √a√b

we can write, √8 = √2√4 and √6 =√2√3

we get,

=3×√2×√2×√4×√3×√3×√2

=3×2×2×3×√2

=72√2

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Step-by-step explanation:

we have A and B

for A,

95-82 = 13

for B,

95-86 = 9

cost of A = 9

cost of B = 8.5

total = 60

for person

A = 6,

B = 2

Total = 32

setting up objective function:

13x + 9y

constraints:

0≤x≤5, 0≤x≤5

7x + 8.5y ≤ 60

6x + 2y ≤ 32 this can be reduced by 2

3x + y≤16

this would take us to a bounded region which has the corner points and the objective values in the attachment i added.

The y-intercept of f(x + 4) + 8 is given as follows:

10.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function for this problem is given as follows:

\(f(x) = \log_2{x}\)

The translated function is then given as follows:

\(g(x) = \log_2{x + 4} + 8\)

The y-intercept of the function is the numeric value at x = 0, hence:

\(g(0) = \log_2{0 + 4} + 8\)

g(0) = 2 + 8 = 10.

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The surface area of the solid is 281 ft².

Given that, a solid figure made of a rectangular prism and a square pyramid,

We need to find its surface area,

To find the same, we will find the lateral surface area of square pyramid, and total surface area of rectangular prism,

So,

Surface area = 2×side×slant height + 2(length·width+width·height+height·length)-base area of the square pyramid,

= 2×5×5 + 2(4·12+12·5+4·5)-5²

= 50+256-25

= 281 ft²

Hence the surface area of the solid is 281 ft².

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Answer:

Step-by-step explanation:

Sorry for the shadow.

The dimensions of the rectangular book cover is 40 cm by 22 1/4 cm

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Given that the book is 22 1/4 cm (22.25 cm) wide and is rectangular with an area of 890 cm², hence:

length * breadth = area

890 = length * 22.25

Length = 40 cm

The dimensions of the rectangular book cover is 40 cm by 22 1/4 cm

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Answer:

40 cm

Step-by-step explanation:

just did it on khan Academy.

This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

An algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It can be simplified, evaluated, or manipulated using algebraic rules and properties.

Let x be the number of miles Mr. Smith drove. Then, the number of miles Mr. Stein drove is \(140 - x\)  , since they drove a total of 140 miles and Mr. Smith already drove x miles.

the algebraic expression for how many miles Mr. Stein drove is:

\(140 - x\)

Therefore, This represents the distance that Mr. Stein drove, given that Mr. Smith drove x miles. The value of x must be between 0 and 140, since Mr. Smith cannot drive more than 140 miles and less than 0 miles.

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Answer:

9/10

Step-by-step explanation:

Answer:

Multiply 20%, or 1/5, times 200 to get about 40 students.

Step-by-step explanation:

You fill in the rounded numbers you got already, like the 19% to 20%, and the 205 to 200. You substitute the information into the blanks to get the answer.

I hope this helps and please mark me as brainliest!

The linear relation of the given Rate of Change and Initial Value is y = 2/3x + 10

Suppose that we have to measure the rate of change of y as x changes, then we have:

\(Rate = \dfrac{y_2 - y_1}{x_2 - x_1}\)

\(\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2\)

Note that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

We are given the parameters as;

Constant Rate of Change: 2/3

Initial Value:10

Since we know that linear relation between x and y is y = m x + b, where

m is the rate of change

b is the initial value

Therefore,

y = 2/3x + 10

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Answer:

Step-by-step explanation:

The number of bags he can make without having any cookies left over is 4 bags.

Number of chocolate chips = 48

Number of vanilla cookies = 64

Number of raisin cookies = 100

Answer:

The answer is d, 2/3y-6

Step-by-step explanation:

In vertex form, the quadratic function F(x) = 2x² + 8x + 4 is given by:

y = 2(x + 2)² - 4

The graph of the function is given at the end of the answer.

The equation of a quadratic function, of vertex (h,k), is given by the following rule:

y = a(x - h)² + k

In which:

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

\((x_v, y_v)\)

In which:

For the function F(x) = 2x² + 8x + 4, the coefficients are given as follows:

a = 2, b = 8, c = 4.

Hence the coordinates of the vertex are:

Hence:

y = 2(x + 2)² - 4

As the leading coefficient is of a = 2.

The graph of the function is given at the end of the answer.

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Answer:

No it is 12

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

6 ÷ 1/2 = 12

(1/2 = 0.5)

6 ÷ 0.5 = 12

Check you answer.

0.5 x 12 = 6

So Jordan is incorrect.

The correct answer is 12

Hope this helped :)

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So, the spread of the numbers 4, 6, 7, 9, 9 is 5.

Spread can refer to different things depending on the context. Here are a few examples:

In finance, spread refers to the difference between the bid price and the ask price of a security or asset. The bid price is the highest price a buyer is willing to pay for a security, while the ask price is the lowest price a seller is willing to accept. The spread represents the cost of trading that security or asset and is typically measured in basis points (hundredths of a percentage point).

In sports betting, spread refers to the point spread or handicap that is assigned to a team in order to make the betting odds more even. For example, if a football team is favored to win by 7 points, they may be assigned a -7-point spread, meaning they would have to win by more than 7 points for a bet on them to be successful.

In epidemiology, spread refers to the transmission of a disease from one person to another. The spread of a disease can be influenced by a variety of factors, including the infectiousness of the disease, the proximity and frequency of contact between people, and the effectiveness of measures to prevent transmission (such as vaccines or masks).

In cooking, spread can refer to a variety of ingredients that are used to spread on bread or crackers, such as butter, jam, or peanut butter.

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