Fredrick slept 4 hours each day in weekdays and 8 hours in weekend. How many
hours did he sleep in 5 weeks?

Answers

Answer 1

Answer:

180 or 1260

Step-by-step explanation:

4*5=20

8*2=16

20+16=36

36*5=180

180*7=1260

sorry it took so long im only in 8th grade but im doing 11th grade classes because im smart i guess


Related Questions

Can someone please help me with this question the first one

Answers

The statement B is true the corresponding lines are proportional and the angles are congruent. The question with graph is A. AB with MN; BC with NL; AC with NL

Please answer this correctly

Answers

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

What is the value of y at the point where the graph of an equation crosses the x-axis?

Answers

Answer:

  0

Step-by-step explanation:

The x-axis corresponds to the line y = 0. All points on the x-axis have a y-value of zero.

Please select the word from the list that best fits the definition

a leader of a group of people

Answers

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:

Bob has 54 more five-dollar bills than ten-dollar bills. The number of five-dollar bills he has
is 7 times that of ten-dollar bills. How many dollars does Bob have in all?

Answers

Answer:5000 sum

Step-by-step explanation:


A candidate scored 32 marks out of 80,
find his percentage score.
A. 20% B.32% 0.40% D. 48% E80%​

Answers

Answer:

40%

Step-by-step explanation:

you need to divide 80 by 8 to get 10 and then divide 32 by 8 aswell. this gives you 4/10 which is equivalent to 40/100 or 40%

Candidate percent scored is, 40%.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A candidate scored 32 marks out of 80.

Now, Total marks = 80

And, A candidate score = 32

Hence, The percent score is,

⇒ 32 / 80 × 100

⇒ 3200 / 80

⇒ 40%

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

1. You have a home business selling designer necklaces. You have done
some market research, which shows that at a price of $40 you can sell
500 per week, and at a price of $60 you can sell 400 per week. Assuming
that the relationship between price and quantity sold is linear, find the
price that maximizes revenue. You must use methods that we developed
and practiced in the course. You will be graded not only on your answer
but on the clarity of your presentation.

Answers

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.

Find the x-intercept(s) and the coordinates of the vertex for the parabola.

Answers

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 )

Graph g(x)=f(x+1) when f(x) =4x-2

Answers

[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.

Solve the equation 3 Z + 5 = 35

Answers

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

Identify the type of sampling that is used: A list of all registered voters in a state is given to a researcher who would like to determine if a particular candidate is likely to be elected. 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. a. systematic b. random c. convenience d. stratified

Answers

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).

Consider the following geometric series.
[infinity]∑n=1 (−8)n−19n
a) Find the common ratio.
b) Determine whether the geometric series is convergent or divergent.
c) If it is convergent, find its sum. (If the quantity diverges, answer diverges.)

Answers

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

Given: AB || DE , AD bisects BE.
Prove: ABC = DEC using the ASA postulate.

Answers

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].

are supplementary angles, then
A) Both should be acute B) Both should be obtuse C) one acute other right D) None of these

Answers

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.

A researcher conducts two studies. Study 1 uses a one-way between-subjects ANOVA. and Study 2 uses a within-subjects ANOVA. If the number of groups and participants per group are the same in each study, then in which study was the total number of participants larger? Explain.

Answers

Answer:

One way between subjects ANOVA

Step-by-step explanation:

In the between groups ANOVA, different people tests each conditions corresponding to the variables in the study while for the within groups ANOVA, the same person tests for all conditions corresponding to the variables. This way the total number of participants will be larger in the between subjects ANOVA group.

theo started to solve the quadratic equation (x+2)2 - 9 = -5

Answers

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

.

intext:"A shipment of 50 inexpensive digital​ watches, including 6 that are​ defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be​ rejected?"

Answers

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]

What is the sum of 1/6 and 1/7

Answers

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

The random variable x represents the number of computers that families have along with the corresponding probabilities. Find the mean and standard deviation for the random variable x.

Answers

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).

solve the equation 4x +30 = 2(x-10)

Answers

4x+30=2(x-10)
4x+30=2x-20
4x-2x= -30-20
2x= -50
x= -25




Mark as brainliest if you find it helpful.

what is the radius diameter of the following circle?

Answers

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

The function g is defined by g(x) = 1/2x - 1. What is
the value of g(6) ?

Answers

Answer:

2

Step-by-step explanation:

g(x) = 1/2x - 1

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

What’s the correct answer for this question?

Answers

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.

Bytecoin is a new cryptocurrency that is currently valued at $243 per coin. You want to make an investment and purchase 1 Bytecoin and cash out when its value reaches $1,000. Over the last 12 months, you ve seen the value of the Bytecoin grow exponentially at a rate of 15% per month! You want all of your friends and family to invest with you, but you need to make predictions about how long it will take for your $243 investment to earn $1,000. Write an exponential equation in the form y = a * b ^ x and explain what a and b represent

Answers

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

Examine the details of the chi‑square test and conclude in context. There is good evidence (cite P-value) of an association between treatment and outcome in the population of women just treated for a UTI. There were substantially fewer than expected women getting a UTI recurrence in the study among those drinking cranberry juice daily. The conditions for inference are not met. There is good evidence (cite P-value) of an association between treatment and outcome in the population of women just treated for a UTI. There were substantially fewer than expected women getting a UTI recurrence among those abstaining from both drinks. There is good evidence (cite P-value) of an association between treatment and outcome in the population of women just treated for a UTI. There were substantially fewer than expected women getting a UTI recurrence among those drinking Lactobacillus drink. There is good evidence (cite P-value) that, in the population of women just treated for a UTI, women drinking cranberry juice daily have fewer UTI recurrences, on average. Question Source: Baldi 4e - The Practice Of Statistics

Answers

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

x=(y+2)^2 solve the equation

Answers

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

52 is what percent of 93?

Answers

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%

These items are taken from the financial statements of Sean McCann, CPA for 2019. Sean McCann, capital 1/1/19 $106,000 Sean McCann, Drawing 10,000 Equipment 130,000 Accumulated depreciation (equip) 32,000 Accounts payable 10,600 Cash 33,800 Supplies 7,000 Salaries payable 6,000 Fees earned 136,000 Salaries expense 66,000 Rent expense 14,200 Supplies expense 1,600 Depreciation expense 4,000 Utilities expense 2,400 Accounts receivable 28,000 Mortgage payable (due 12/31/35) 6,400 Instructions: 1. Prepare the journal entries to close your temporary accounts. (Hint: The temporary accounts are revenues, expenses and the drawing account) Date Description Debit Credit 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 year ended 12/30/19 Sean McCann, CPA Statement of Owner’s Equity For Period Ended 12/31/19 Sean McCann, CPA Balance Sheet For Period Ended 12/30/19

Answers

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

Does anyone know this?

Answers

It is the answer A which is correct
The correct answer is A.

Which expression is equivalent to (2g^3+4)^2

Answers

[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

Other Questions
The___is also called the dark reaction in photosynthesis A vector points 12.0 units along the x-axis, and 9.00 units along the y-axis. Find the direction of the vector Read this excerpt from an Emily Dickinson poem.How dreary to be somebody!How public, like a frogTo tell your name the livelong dayTo an admiring bog!What do these lines indicate about Dickinsons view of pride? What is the slope?Simplify your answer and write it as a proper fraction, improper fraction, or integer. Two large insulating parallel plates carry charge of equal magnitude, one positive and the other negative, that is distributed uniformly over their inner surfaces. Rank the points 1 through 5 according to the magnitude of the electric eld at the points, least to greatest.A. 1, 2, 3, 4, 5B. 2, then 1, 3, and 4 tied, then 5C. 1, 4, and 5 tie, then 2 and 3 tieD. 2 and 3 tie, then 1 and 4 tie, then 5E. 2 and 3 tie, then 1, 4, and 5 tie what expression are equivalent to 4(4x + 9) 2/5 plus 1/4 plus 7/10 Please answer this correctly Tristan is working two summer jobs, making $7 per hour babysitting and $19 per hour lifeguarding. Tristan must earn at least $210 this week. Write an inequality that would represent the possible values for the number of hours babysitting, bb, and the number of hours lifeguarding, ll, that Tristan can work in a given week. what is the name of the shape graphed by the function: r=2cos theta Hue wants to buy two necklaces, one for her sister and one for herself. The necklace for her sister costs $43.25, and the necklace for herself costs $26.25. The sales tax on the purchases is 3%. Find the total cost of Hue's purchases, including sales tax. Seth would like to make sure as many interested customers as possible are seeing his businesss website displayed in their search results. What are a few things he could pay attention to in order to achieve this? One-third times the difference of a number and 5 isWhich equation best shows this?3One possible first step in solving the equation in the above problem is toThe value of the number is Use the following information for questions 34-36: Deanna is the principal at a Midwestern middle school and wants to know the average IQ of all female, seventh grade students. She does not know anything about what the population distribution looks like. She took a simple random sample of 31 seventh-grade girls in her school and found the average IQ score in her sample was 105.8 and the standard deviation was 15. Based on the interval you calculated in question 34, does it seem plausible that the true average IQ score for all seventh-grade female students at this school is 113 A train starts from its station and itvelocity reaches 200m/s in 5seconds. What is its acceleration?a. 400m/sb. 40m/s2c. 4.5m/s2d. Initial velocity is missing James makes fruit punch by mixing fruit jucie and lemonade in the ratio 1:4 she needs to make 40 liters of punch for a party How much of each ingredient does she need? Fruit juice ? Liters Lemonade ?litersPart 2 During the party Josie decides to make some more.She has 4 litres of fruit juice left and plenty of lemonade.How much extra punch can she make?Part 3 To make the second batch of punch go further Josie adds 2 more litres of lemonade. What is the ratio of fruit juice to lemonade in the second batch? If f(x) and g(x) are inverse functions of each other, what is the graph of f(g(x))? Write five original sentences. Show the predicate in each sentence in brackets [ ]. Show the verb in each sentence in parentheses ( ). Remember that the verb is part of the predicate. Example: My mother [(baked) a birthday cake for Seth]. 10q - 30 is equivalent to? Write an INSERT statement that adds these rows to the Invoice_Line_Items table:invoice_sequence: 1 2account_number: 160 527line_item_amount: $180.23 $254.35line_item_description: Hard drive Exchange Server updateSet the invoice_id column of these two rows to the invoice ID that was generatedby MySQL for the invoice you added in exercise 4.