Graph the line y=-2x+5

Answer:

a) -8/9

b) The series is a convergent series

c) 1/17

Step-by-step explanation:

The series a+ar+ar²+ar³⋯ =∑ar^(n−1) is called a geometric series, and r is called the common ratio.

If −1<r<1, the geometric series is convergent and its sum is expressed as ∑ar^(n−1) = a/1-r

a is the first tern of the series.

a) Rewriting the series ∑(-8)^(n−1)/9^n given in the form ∑ar^(n−1) we have;

∑(-8)^(n−1)/9^n

= ∑(-8)^(n−1)/9•(9)^n-1

= ∑1/9 • (-8/9)^(n−1)

From the series gotten, it can be seen in comparison that a = 1/9 and r = -8/9

The common ratio r = -8/9

b) Remember that for the series to be convergent, -1<r<1 i.e r must be less than 1 and since our common ratio which is -8/9 is less than 1, this implies that the series is convergent.

c) Since the sun of the series tends to infinity, we will use the formula for finding the sum to infinity of a geometric series.

S∞ = a/1-r

Given a = 1/9 and r = -8/9

S∞ = (1/9)/1-(-8/9)

S∞ = (1/9)/1+8/9

S∞ = (1/9)/17/9

S∞ = 1/9×9/17

S∞ = 1/17

The sum of the geometric series is 1/17

Answer:2x−5=−5

Add 5

to both sides of the equation.

2x=−5+5

Add −5

and 5

.

2x=0

Divide each term by 2

and simplify.

Divide each term in 2x=0

by 2

.

2x2=02

Cancel the common factor of 2

.

Cancel the common factor.

2

x2=02

Step-by-step explanation:

Apply the distributive property.

x⋅2+2⋅2−9=−5

Move 2

to the left of x

.

2⋅x+2⋅2−9=−5

Multiply 2

by 2

.

2x+4−9=−5

Subtract 9

from 4

.

Answer:

The correct option is (b) random.

Step-by-step explanation:

A simple random sample is a part of a statistical population in which every individual of the population has an equal probability of being selected.

Assigning each individual of the population a unique number and using a computer or random number generator for selection is a procedure to select a simple random sample.

In this case the researcher has a computer randomly generate several hundred numbers, and those numbers are used to select names from the list to form a sample.

The procedure indicates that the researcher used a simple random sampling technique to select the sample.

Thus, the correct option is (b).

Answer:

radius=7

diameter =2×radius

d=2×7

diameter=14

Answer:

Hello!

The answer is-

Radius: 7

Diameter: 14

Step-by-step explanation:

Diameter:

2*(radius)

d=2(7)

Diameter is 14

Answer:

Area of the figure = 169.5 yards²

Step-by-step explanation:

Area of Rectangle = Length × Width

Area of triangle = 1/2(base × height)

We'll divide the whole figure into parts so that we can find the area more easily!

Rectangle 1 (uppermost):

10 × 4 = 40 yards²

Square 1 (right below the rectangle 1):

7 × 7 = 49 yards²

Rectangle 2 (with square 1):

7 × 3 = 21 yards²

Triangle 1 (Below rectangle 2):

1/2(17 × 7) = 119/2 = 59.5 yards²

Now adding up all to get the area of the whole figure:

Area of the figure = 40 + 49 + 21 + 59.5

Area of the figure = 169.5 yards²

Answer:

A unit cube has one cubic unit of volume.

Another unit cube with the same length, width and height as the unit cube shown would have the same volume

Step-by-step explanation:

A cube is a shape formed from the combination of a square.

A cube has equal sides.

But a unit cube has equal sides and equal volume to be equal to one, i.e unity.

Answer:

55.9139785%

Step-by-step explanation:

Is means equals and of means multiply

52 = P * 93

Divide each side by 93

52/ 93 = P

.559139785

Change to percent form

55.9139785%

Answer:

D

Step-by-step explanation:

Answer:

D) None of these

Step-by-step explanation:

Supplementary pairs must equal to 180 degrees. They can either be made up of two right angles, or one acute and one obtuse angle.

Answer:

They charge an equal amount of money each hour.

Answer:

Gym B and Gym A charge the same hourly rate for childcare.

Step-by-step explanation:

answer on edge

[tex]g(x)=4(x+1)-2[/tex]

[tex]g(x)=4x+4-2[/tex]

[tex]g(x)=4x+2[/tex]

Image attached below for graph.

Answer:

The correct option is (d).

Step-by-step explanation:

The complete question is:

The random variable x represents the number of computers that families have along with the corresponding probabilities. Use the probability distribution table below to find the mean and standard deviation for the random variable x.

    x :    0          1          2           3         4

p (x) : 0.49     0.05    0.32     0.07    0.07

(a) The mean is 1.39 The standard deviation is 0.80

(b) The mean is 1.39 The standard deviation is 0.64

(c)The mean is 1.18 The standard deviation is 0.64

(d) The mean is 1.18 The standard deviation is 1.30

Solution:

The formula to compute the mean is:

[tex]\text{Mean}=\sum x\cdot p(x)[/tex]

Compute the mean as follows:

[tex]\text{Mean}=\sum x\cdot p(x)[/tex]

         [tex]=(0\times 0.49)+(1\times 0.05)+(2\times 0.32)+(3\times 0.07)+(4\times 0.07)\\\\=0+0.05+0.64+0.21+0.28\\\\=1.18[/tex]

The mean of the random variable x is 1.18.

The formula to compute variance is:

[tex]\text{Variance}=E(X^{2})-[E(X)]^{2}[/tex]

Compute the value of E (X²) as follows:

[tex]E(X^{2})=\sum x^{2}\cdot p(x)[/tex]

          [tex]=(0^{2}\times 0.49)+(1^{2}\times 0.05)+(2^{2}\times 0.32)+(3^{2}\times 0.07)+(4^{2}\times 0.07)\\\\=0+0.05+1.28+0.63+1.12\\\\=3.08[/tex]

Compute the variance as follows:

[tex]\text{Variance}=E(X^{2})-[E(X)]^{2}[/tex]

             [tex]=3.08-(1.18)^{2}\\\\=1.6876[/tex]

Then the standard deviation is:

[tex]\text{Standard deviation}=\sqrt{\text{Variance}}[/tex]

                              [tex]=\sqrt{1.6876}\\\\=1.2990766\\\\\approx 1.30[/tex]

Thus, the mean and standard deviation for the random variable x are 1.18 and 1.30 respectively.

The correct option is (d).

[tex]answer \\ 4g ^{6} + 16 \\ solution \\ ( {2g}^{3} + 4)^{2} \\ = 2 \times 2 \: g ^{3 \times 2} + 4 \times 4 \\ = 4 {g}^{6} + 16 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

4g^6+16  IS equivalent  to (2g^3+4)^2

Answer:

Step-by-step explanation:

The growth rate of the coin is exponential. We would apply the formula for exponential growth which is expressed as

y = ab^x

y = b(1 + r)^ t

Where

y represents the value of the coin after x months.

x represents the number of months.

a represents the initial value of the coin.

b represents rate of growth.

From the information given,

a = 243

b = 1 + 15/100 = 1 + 0.15 = 1.15

Therefore, the exponential expression to determine the number of months, x it will take for the coin to attain a certain value, y is expressed as

y = 243(1.15)^x

If y = 1000, it means that

1000 = 243(1.15)^x

1000/243 = 1.15^x

4.115 = 1.15^x

Taking log of both sides, it becomes

log 4.115 = xlog1.15

0.614 = 0.061x

x = 0.614/0.061

x = 10 months

It will take 10 months

Answer:

The price that maximizes the profits from the sale of the product is $60.

Step-by-step explanation:

Since selling necklaces at $ 40 allows a total amount of 500 sales per week, while a price of $ 60 allows 400 sales at the same time, the following calculations must be made to determine the price that maximizes sales performance:

40 x 500 = $ 20,000

60 x 400 = $ 24,000

50 x 450 = $ 22,500

55 x 425 = $ 23,375

58 x 410 = $ 23,780

59 x 405 = $ 23,895

As can be seen from the calculations developed, the price that maximizes the profits from the sale of the product is $60.

Answer:

see explanation

Step-by-step explanation:

Given

y = x² - 2x - 8

To find the x- intercepts let y = 0 , that is

x² - 2x - 8 = 0 ← in standard form

(x - 4)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 2 = 0 ⇒ x = - 2

x- intercepts : x = - 2, x = 4

The x- coordinate of the vertex is mid way between the x- intercepts, that is

[tex]x_{vertex}[/tex] = [tex]\frac{-2+4}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Substitute x = 1 into the equation for corresponding y- coordinate

y = 1² - 2(1) - 8 = 1 - 2 - 8 = - 9

vertex = (1, - 9 )

Answer:

0.7125

Step-by-step explanation:

The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes (with probability p) in a sequence of n independent events.

The probability of getting exactly x successes in n independent Bernoulli trials =  [tex]n_{C_{x}}(p)^x(1-p)^{n-x}[/tex]

Total number of watches in the shipment = 50

Number of defective watches = 6

Number of selected watches = 10

Let X denotes the number of defective digital watches such that the random variable X follows a binomial distribution with parameters n and p.

So,

Probability of defective watches = [tex]\frac{X}{n}=\frac{6}{50}=0.12[/tex]

Take n = 10 and p = 0.12

Probability that the shipment will be rejected = [tex]P(X\geq 1)=1-P(X=0)[/tex]

[tex]=1-n_{C_{x}}(p)^x(1-p)^{n-x}\\=1-10_{C_{0}}(0.12)^0(1-0.12)^{10-0}[/tex]

Use [tex]n_{C_{x}}=\frac{n!}{x!(n-x)!}[/tex]

So,

Probability that the shipment will be rejected = [tex]=1-\left ( \frac{10!}{0!(10-0)!} \right )(0.88)^{10}[/tex]

[tex]=1-(0.88)^{10}\\=1-0.2785\\=0.7125[/tex]

Answer:

1. Prepare the journal entries to close your temporary accounts.

the journal entries required to close the temporary accounts are:

December 31, 2019, closing of temporary revenue accounts

Dr Fees earned 136,000

    Cr Income summary 136,000

December 31, 2019, closing of temporary expense accounts

Dr Income summary 88,200

    Cr Salaries expense 66,000

    Cr Rent expense 14,200

    Cr Supplies expense 1,600

    Cr Depreciation expense 4,000

    Cr Utilities expense 2,400

December 31, 2019, closing of temporary income summary account

Dr Income summary 88,200

    Cr Retained earnings 88,200

December 31, 2019, closing of drawings account

Dr Retained earnings 10,000

    Cr Sean McCann, Drawing 10,000

2. Prepare an income statement and a statement of owner’s equity for the year ended December 31, 2019 and a classified balance sheet as of December 31, 2019.

          Sean McCann, CPA

            Income Statement

For the Year Ended December 31, 2019

Fees earned                                 $136,000

Salaries expense                         ($66,000)

Rent expense                               ($14,200)

Supplies expense                          ($1,600)

Depreciation expense                  ($4,000)

Utilities expense                           ($2,400)

Net income                                   $47,800

retained earnings = net income - drawings = $47,800 - $10,000 = $37,800

                     Sean McCann, CPA

                          Balance Sheet

         For the Year Ended December 31, 2019

Assets

Current assets:

Cash                                    $33,800

Accounts receivable          $28,000

Supplies                                $7,000

Total current assets                       $68,800

Non-current assets:

Equipment                         $130,000

Accumulated dep. (equip)-$32,000

Total non-current assets               $98,000

Total assets                                                    $166,800

Liabilities and equity

Current liabilities:

Accounts payable             $10,600

Salaries payable                $6,000

Total current liabilities                    $16,600

Long term liabilities:

Mortgage payable            $6,400

Total long term liabilities:                $6,400

Equity

Sean McCann, capital    $106,000

Retained earnings           $37,800

Total equity                                   $143,800

Total liabilities and equity                            $166,800

            Sean McCann, CPA

      Statement of Owner’s Equity

For the Year Ended December 31, 2019

Sean McCann, capital 1/1/19         $106,000

Net income                                     $47,800

Subtotal                                         $153,800

Drawings during the year             -$10,000

Sean McCann, capital 1/1/19         $143,800

1/6 + 1/7 = 13/42

aka: 7/42 + 6/42

Answer:

13/42

Step-by-step explanation:

1/6 + 1/7

We need a common denominator of 42

1/6 *7/7 + 1/7 *6/6

7/42 + 6/42

13/42

Answer:

2

Step-by-step explanation:

g(x) = 1/2x - 1

g(6= 1/2*6-1= 3-1= 2

Answer:

z=10 i hope this will help you

Step-by-step explanation:

3z+5=35

3z=35-5

3z=30

z=10

Answer:

Z = 10

Step-by-step explanation:

3Z+5=35

Subtract 5 from both sides

3Z=30

Divide both sides by 3

Z=10

Answer:

As per ASA postulate, the two triangles are congruent.

Step-by-step explanation:

We are given two triangles:

[tex]\triangle ABC[/tex] and [tex]\triangle DEC[/tex].

AD bisects BE.

AB || DE.

Let us have a look at two properties.

1. When two lines are parallel and a line intersects both of them, then alternate angles are equal.

i.e. AB || ED and [tex]\angle B[/tex] and [tex]\angle E[/tex] are alternate angles [tex]\Rightarrow[/tex] [tex]\angle B = \angle E[/tex].

2. When two lines are cutting each other, angles formed at the crossing of two, are known as Vertically opposite angles and they are are equal.

[tex]\Rightarrow \angle ACB = \angle DCE[/tex]

Also, it is given that AD bisects BE.

i.e. EC = CB

1. [tex]\angle B = \angle E[/tex]

2. EC = CB

3. [tex]\angle ACB = \angle DCE[/tex]

So, we can in see that in [tex]\triangle ABC[/tex] and [tex]\triangle DEC[/tex], two angles are equal and side between them is also equal to each other.

Hence, proved that [tex]\triangle ABC[/tex] [tex]\cong[/tex] [tex]\triangle DEC[/tex].

Answer:

a sultan

Step-by-step explanation:

i looked it up on quizlet after thinking it was sultan and i was right

anyways the answer is sultan and its correct

have a good day!

Answer

the answer is sultan

Step-by-step explanation:

Answer:

Step-by-step explanation:

We will examine and outline the details of this chi-square test and then conclude in context.

(A) A population of women have just been treated for a urinary tract infection.

(B) Since the chi-square test is done for categorical variables, we will pick out the variable involved here.

That variable is: "UTI Recurrence"

Hence, we are looking at the recurrence of a urinary tract infection, among samples of the population of women who have recently been treated of it.

(C) There are three samples from this population and they are distinguished thus:

SAMPLE 1: Those drinking cranberry juice daily

SAMPLE 2: Those taking lactobacillus drink

SAMPLE 3: Those abstaining from both drinks (the placebo sample)

(D) The result of the test gave good evidence that SAMPLE 1 has the lowest value of the categorical variable involved; as compared to the values from SAMPLE 2 and SAMPLE 3.

In other words, on the average (average here is equal to mode or frequency of occurrence of the variable), the lowest number of UTI recurrences stems from Sample 1, as compared to the numbers of UTI recurrences in the other two samples

Answer:

C.

Step-by-step explanation:

Central angle = 360-52=308°

In radians

308° = 308π/180

Now

S = r∅

S = 3×308π/180

S = 924π /180

S = 77π/15 in.

Answer:

answer is 13π/15

Step-by-step explanation:

correct answer is 13π/15.

Answer:

x= y^2+4y+4

Step-by-step explanation:

x= (y+2)(y+2)

x= y^2+2y+2y+4

x= y^2+4y+4

Answer:

X = y^2 + 4y + 4

Y= (√X) -2

Step-by-step explanation:

X = (Y+2)^2

X = (Y+2)(Y+2)

X = Y^2 + 4y + 4

X = (Y+2)^2

√X = √(Y+2)^2             (taking the root of both sides cancels the exponent)

√X = Y+2

-2        -2

(√X) - 2 = Y

or

Y = (√X) - 2

Answer:5000 sum

Step-by-step explanation:

Answer:

90/4= 12.9

1*3/4= 0.75

Step-by-step explanation: