For Sigma-summation Underscript n = 1 Overscript infinity EndScripts StartFraction 0.2 n Over 0.8 EndFraction, find S3=

Answer:

the answer is

C)-9/15-2/5=-1/5

[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:

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:

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:

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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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:

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

P = 2

Answer:

I think its 302 cubic feet

Answer:

I need more information

Step-by-step explanation:

Answer:

x = 18

mZT = 71º

Step-by-step explanation:

Complementary angles total 90º

(3x + 17) + 19 = 90

Subtract 19 from both sides

3x + 17 = 71

mZT = 71º

Subtract 17 from both sides

3x = 54

Divide both sides by 3

x = 18

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:

14

Step-by-step explanation:

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

Answer:

forgot so I have been eating much of my friends are for sure what pic and send you a few weeks I have been a bit but we are not what pic my wife is to inform that

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

19,683

Hope this Helped!

Answer:

aaaaa

Step-by-step explanation:

Answer:

I think it’s A

Step-by-step explanation:

Answer:

Step-by-step explanation:

140 = b * h

140 = b * 10

14 = b

the answer is on the picture

y=1/2x-3

typing this to take up space ignore this

Answer:

Step-by-step explanation:

I think D

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

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:

[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:

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 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:

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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