the percent of fat calories that a person in america consumes each day is normally disributed with a mean of about 36 and a standard deviation of about ten. suppose that 16 indivduals are randomly chosen. true or false: the random variable is defined as the average percent of fat caories consumed each day by a person in america.

If c is a positive real number, then the graph of

f(x – c) is the graph of y = f(x) shifted to the right

c units.

Horizontal Shifts

If c is a positive real

number, then the

graph of f(x + c) is

the graph of y = f(x)

shifted to the left

Given:  

If a graph  is shifted a units to the left then it becomes  

Here, the graph is shifted 1 unit to the left . On taking a=1, we get graph  

Using formula  , we get

Using formula  , we get

Using distributive property over multiplication i.e  , we get

Therefore,

Answer:

If x= -3 then x^2 will  be positive.

Step-by-step explanation:

we can choose the option by putting x= -3 on each option to see which of them will get us positive value..

x^3 = (-3)×(-3)×(-3) = -27

x^2=  (-3)×(-3)       =  9

2x  =  2 × (-3)   = -6

1/x =  -1/3

Thus from the values above we can see that the If x= -3 then x^2 will  be positive.

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Answer:

aaaaa

Step-by-step explanation:

Answer:

I think it’s A

Step-by-step explanation:

Answer:

[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or [tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]

Step-by-step explanation:

Find the magnitude of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:

[tex]||v||=\sqrt{(2\sqrt{6})^2+(-2\sqrt{2})^2}[/tex]

[tex]||v||=\sqrt{24+8}[/tex]

[tex]||v||=\sqrt{32}[/tex]

Find the direction angle of [tex]<2\sqrt{6},-2\sqrt{2}>[/tex]:

[tex]\alpha=tan^{-1}|\frac{-2\sqrt{2}}{2\sqrt{6}}|[/tex]

[tex]\alpha=tan^{-1}|-\frac{\sqrt{3}}{2}|[/tex]

[tex]\alpha=tan^{-1}(\frac{\sqrt{3}}{2})[/tex]

[tex]\alpha=40.89^{\circ}[/tex]

Since [tex]\alpha=40.89^{\circ}[/tex] is our reference angle, we determine our direction angle [tex]\theta[/tex] by verifying our angle is in Quadrant IV, which is where the vector is located. Therefore, [tex]\theta=360^{\circ}-\alpha=360^{\circ}-40.89^{\circ}=319.11^{\circ}[/tex]

To represent a vector's magnitude and direction in trigonometric form, we use the form [tex]v=<||v||cos\theta,||v||sin\theta>[/tex] or [tex]v=||v||cos\theta i+||v||sin\theta j[/tex].

In conclusion, the trigonometric form of the vector is:

[tex]v=<\sqrt{32}cos(319.11^{\circ}),\sqrt{32}sin(319.11^{\circ})>[/tex] or

[tex]v=\sqrt{32}cos(319.11^{\circ})i+\sqrt{32}sin(319.11^{\circ})j[/tex]

Answer:

f(g(-3)) = -11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 1

g(x) = 2x + 1

x = -3

Step 2: Evaluate

Answer:

The correct answers are [tex]x < 9[/tex] and any rational number less than 9.

Step-by-step explanation:

Since the inequality represented in the number line has the arrow going towards the left, and has a open/not highlighted circle on 9, that means the inequality represented by the number line is [tex]x < 9[/tex], which means the exact same as any rational number less than 9, so those two choices are the correct answer.

Answer:

Step-by-step explanation:

I think D

If you will count by cubes 3 cm+ 3 cm= 6

Answer:

I think its 302 cubic feet

Answer:

14

Step-by-step explanation:

(11/3)/(1/4)=14 2/3 which means you can make 14 complete bows

Answer:

Step-by-step explanation:

140 = b * h

140 = b * 10

14 = b

Answer:

An interaction that you do verbally or physically to let someone know something.

it either

the imparting or exchanging of information or news

or

means of sending or recieving information, such as phone lines or computers

Answer:

Compute the cost of driving for two different job options.

Driving costs 0.50 dollars per mile. Driving occurs 250 days per year.

Job 1

Miles each way 5

What is the cost of driving?

Job 2

Miles each way 50

What is the cost of driving?

The Total cost of driving for both the job 1 and job 2 is $1250 and $1250.

$Driving costs 0.50 dollars per mile.
Driving occurs 250 days per year.50

The statistic is the study of mathematics which deal with relations between comprehensive data.

1) job 1

ways = 5 x 2 miles
Total cost of driving  = total miles x total days x driving cost per miles
 = 10 x 250 x0.50

2) job 2
total cost of driving = 2 x 50 250 x0.5

Thus, The required Total cost of both the job 1 and job 2 is $1250 and $1250

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19,683

Hope this Helped!

Step-by-step explanation:

A union b is 12345678

So is prime then is empty set

Answer:

A

Step-by-step explanation:

We need to find the correct options which represents the given equation . We can try it out by eliminating the given options , as

So , option A , and D are preferred choices .

Option A is the correct option . ✔️

Answer:

The t-score is t = 2.457.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 31 - 1 = 30

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a one-tailed confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.457.

The t-score is t = 2.457.

Answer:

[tex]y = 10x[/tex]

Step-by-step explanation:

Given

The attached plot

Required

The line of the best fit using [tex](8,80)[/tex] and [tex](2,20)[/tex]

We have:

[tex](x_1,y_1) = (8,80)[/tex]

[tex](x_2,y_2) = (2,20)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{20 - 80}{2- 8}[/tex]

[tex]m = \frac{-60}{-6}[/tex]

[tex]m = 10[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 10(x - 8) + 80[/tex]

Expand

[tex]y = 10x - 80 + 80[/tex]

[tex]y = 10x[/tex]

Answer:

C. The number of hours she babysits

Step-by-step explanation:

In this situation, the number of hours she babysits is the independent variable.

This is because it will directly influence the amount of money that she earns, which is the dependent variable.

For example, working for 1 hour will earn her $15.

So, the correct answer is C. The number of hours she babysits

Answer:

[tex]154m^{2}[/tex]

Step-by-step explanation:

8 · 7 = 56m (horizontal rectangle shape) the width was given by subtracting the total of the width (23m) minus (16m).

5 · 8 = 40m (square shape) Subtract 8m - 3m = 5m.

6 · 8 = 48m (square shape to the left of the polygon)

2 · 5 = 10m  (small rectangle shape bottom left) 8 - 6 = 2 for the length and 5 for the width by 8 - 3 = 5

56m + 40m + 48m + 10m = 154 [tex]m^{2}[/tex]

The simplified form of the expression [tex]x^2 - 9 / x^2 - 3x[/tex] is:

[tex](x - 3)(x + 3) / x^2 - 3x[/tex]

To simplify the expression [tex]x^2 - 9 / x^2 - 3x[/tex], we can factor the numerator and denominator if possible and cancel out any common factors.

First, let's factor the numerator and denominator:

[tex]x^2 - 9[/tex] can be factored as (x - 3)(x + 3).

[tex]x^2 - 3x[/tex] cannot be factored further.

Now, we can rewrite the expression with the factored form:

[tex](x - 3)(x + 3) / x^2 - 3x[/tex]

Next, we can look for any common factors between the numerator and denominator that can be canceled out. In this case, there are no common factors that can be canceled out.

Therefore, the simplified form of the expression  [tex]x^2 - 9 / x^2 - 3x[/tex] is:

[tex](x - 3)(x + 3) / x^2 - 3x[/tex]

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Answer: hello! have a good day! :)))

P = 2

Answer:

uhh hell? What does that mean?

Step-by-step explanation:

Answer:

A. ( 1 × 1 / 10 ) + ( 2 × 1 / 100 ) + ( 4 × 1 / 1000 )

Step-by-step explanation:

A number is written in expanded form if it shows the sum of the values of the individual digits that make up the number.

To write 0.124 in expanded form, follow these steps:

(i) Take the digits one after the other and multiply it by its value depending on its place.

Taking the first digit - 0

The value is 0 unit, where a unit is 1

Now multiply 0 by 1

=> 0 x 1

=> 0

Taking the second digit - 1

The value is 1 tenth, where a tenth is 1 / 10

Now multiply 1 by 1 / 10

=> 1 x 1 / 10

Taking the third digit - 2

The value is 2 hundredth, where a hundredth is 1 / 100

Now multiply 2 by 1 / 100

=> 2 x 1 / 100

Taking the fourth digit - 4

The value is 4 thousandth, where a thousandth is 1 / 1000

Now multiply 4 by 1 / 1000

=> 4 x 1 / 1000

(ii) Add the results obtained in (i) above

=> (0 x 1) + ( 1 x 1 / 10) + (2 x 1 / 100) + ( 4 x 1 / 1000)

=> ( 1 x 1 / 10) + (2 x 1 / 100) + ( 4 x 1 / 1000)

Therefore,

0.124 in expanded form is  ( 1 × 1 / 10 ) + ( 2 × 1 / 100 ) + ( 4 × 1 / 1000 )

Answer:

well it cant start off in the middle of the graph most graphs you start from the very beginning like lets just say we start at 11 and go all the way to the end so kinda like a straight line

Step-by-step explanation:

the answer is on the picture

Answer:

0.9769

Step-by-step explanation:

Given the data :

X : 7.5, 9.9, 4.8, 9, 8.1, 1.7, 3.1

Y : 35, 6, 45, 18, 20, 89, 84

The Correlation Coefficient obtained by using a graphing calculator to model the data above is : 0.9769, this means a strong positive correlation exists between the two variables.

Answer:

he spent $18.57 and he can spend $7.43 more

The solution is, he can still spend no more than $6.43.

An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.

here, we have,

given that,

Wyatt wants to spend no more than $25 at the grocery store.

He bought a pizza for $7.55 and a cake for $11.02 (including tax).

now, we have to find the inequality that he can use to find how much money he can still spend.

let, we would spend = x

now, we have,

He bought a pizza for $7.55 and a cake for $11.02

so, he had = $ x - ( 7.55 + 11.02)

we have,

x ≥ 25

so, he can still spend ≥ 25 -  ( 7.55 + 11.02)

or, he can still spend ≥ 6.43

i.e.  he can still spend no more than $6.43

Hence, The solution is, he can still spend no more than $6.43.

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[tex]9 \times \frac{1}{4} = \frac{9}{4} [/tex]✅

Option A⤵

[tex]5 \times \frac{1}{2} = \frac{1}{10} \\ ⇢  \frac{5}{2} ≠ \frac{1}{10} [/tex]

Option B⤵

[tex]4 \times \frac{1}{3} = \frac{4}{12} \\ ⇢ \frac{4}{3} ≠ \frac{4}{12} [/tex]

Option C⤵

[tex]9 \times \frac{1}{4} = \frac{9}{4} \\ ⇢ \frac{9}{4} = \frac{9}{4} [/tex]

Option D⤵

[tex]8 \times \frac{1}{ 5} = \frac{9}{5} \\ ⇢ \frac{8}{5} ≠ \frac{9}{5} [/tex]

Hence, option C is correct.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

The final balance is ₹4,926.8.

The total compound interest is ₹3,926.8.

The amount of money that was earned in six months with an interest rate of 4 compounded quarterly will be $3184.6.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

[tex]\rm A = P \left (1 + \dfrac{r}{n} \right ) ^{nt}[/tex]

Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.

The principal amount of $3,000 was earned in six months at an interest rate of 4 compounded quarterly. Then the value of n will be 4. Then we have

[tex]A = 3000 \left (1 + \dfrac{0.04}{4} \right )^6[/tex]

Simplify the equation, then we have

A = 3000 (1.01)⁶

A = 3000 x 1.062

A = $3184.6

The amount of money that was earned in six months with an interest rate of 4 compounded quarterly will be $3184.6.

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