I need to know this I don’t understand and it is last one

Answer:

a) 855

b) We would need a Larger sample.

Step-by-step explanation:

(a) How large should the sample be to guarantee the margin of error will be no more than $3?

The formula for Margin of Error = z × Standard deviation/√sample size

z = z score of 99% confidence interval = 2.58

Standard deviation = $34

Sample size = n = unknown

Margin of Error = $3

√n = z × Standard deviation/Margin of Error

Square both sides

n = (z × standard deviation/Margin of Error)²

n =( 2.58 ×34/ 3)²

n = (29.24)²

n = 854.9776

Approximately, the size of the sample be to guarantee the margin of error will be no more than $3 is 855

(b) If we wanted a smaller margin of error, we would need a sample. (Enter: ''LARGER'', ''SMALLER'' or ''SAME SIZE'', without the quotes.)

We would need a Larger sample.

This is because, the larger the sample, the smaller the margin of Emerror and the smaller the sample, the larger the margin of error. Therefore, for the question b, we would be needing a larger sample.

Answer:

a)

A(0.1)^4 + B(0.1)^3 + C(0.1)^2 + D(0.1) + E = 82.9619  ----------1

A(0.2)^4 + B(0.2)^3 + C(0.2)^2 + D(0.2) + E = 38.7504 -------2

A(0.7)^4 + B(0.7)^3 + C(0.7)^2 + D(0.7) + E = 1.7819   ----------3

A(0.8)^4 + B(0.8)^3 + C(0.8)^2 + D(0.8) + E = 1.9824 ----------4

A(0.9)^4 + B(0.9)^3 + C(0.9)^2 + D(0.9) + E = 0.7859 ----------5

b)  y = 519x^4 - 1630x^3 + 1844x^2 - 889x + 155

c)  0.1875

Step-by-step explanation:

a)

Let y = Ax^4 + Bx^3 + Cx^2 + Dx + E

Setting up the problem as a system of linear equations

when x=(10%)=0.1, y = 82.9619

therefore

A(0.1)^4 + B(0.1)^3 + C(0.1)^2 + D(0.1) + E = 82.9619  ----------1

when x=(20%)=0.2, y = 38.7504

A(0.2)^4 + B(0.2)^3 + C(0.2)^2 + D(0.2) + E = 38.7504 -------2

when x=(70%)=0.7, y = 1.7819

A(0.7)^4 + B(0.7)^3 + C(0.7)^2 + D(0.7) + E = 1.7819   ----------3

when x=(80%)=0.8, y = 1.9824

A(0.8)^4 + B(0.8)^3 + C(0.8)^2 + D(0.8) + E = 1.9824 ----------4

when x=(90%)=0.9, y = 0.7859

A(0.9)^4 + B(0.9)^3 + C(0.9)^2 + D(0.9) + E = 0.7859 ----------5

b)

Find the quartic polynomial that goes through these data points

Now to find the values ( A,B,C,D,E)

[MATRIX]

║A║         ║   (0.1)^4  (0.1)^3    (0.1)^2   (0.1)    1    ║^-1    ║ 82.9619  ║

║B║         ║     (0.2)^4  (0.2)^3  (0.2)^2   (0.2) 1   ║         ║ 38.7504 ║

║C║     =  ║    (0.7)^4  (0.7)^3  (0.7)^2   (0.7)   1   ║         ║ 1.7819     ║

║D║         ║    (0.8)^4  (0.8)^3  (0.8)^2  (0.8)   1   ║         ║ 1.9824    ║

║E║         ║    (0.9)^4  (0.9)^3  (0.9)^2  (0.9)   1   ║         ║ 0.7859    ║

║A║      ║  29.7619  -47.619  166.667   -238.095   89.2857 ║ ║ 82.9619║

║B║      ║  -77.381  119.048  -333.333   452.381 -160.714      ║ ║ 38.7504║

║C║  =  ║   71.131  -102.381  208.333  -269.048 91.9643      ║ ║ 1.7819    ║

║D║      ║  -26.369 33.0952  -41.6667  52.619  -17.6786     ║ ║ 1.9824   ║

║E║       ║   3.00      -2.4         -2.4        -3.00          -1.00       ║  ║ 0.7859  ║

║A║       ║ 519   ║

║B║       ║ -1630║

║C║  =   ║ 1844 ║ ,         y = 519x^4 - 1630x^3 + 1844x^2 - 889x + 155

║D║       ║ -889 ║

║E║       ║ 155    ║

c)

approximate the density 50% of the way out of the sun

so at 50% (0.5) x=0.5

we substitute

y = 519(0.5)^4 - 1630(0.5)^3 + 1844(0.5)^2 - 889(0.5) + 155

= 0.1875

Answer:

Step-by-step explanation:

Using long division:

                        13x^2 + 13x + 15   <------------Quotient

                       _________________________

2x^2 - 3x - 5 )  26x^4 - 13x^3 -  74x^2 - 46x - 24

                        26x^4 - 39x^3 - 65x^2

                                     26x^3 -   9x^2  - 46x

                                     26x^3 -  39x^2 - 65x

                                                    30x^2 + 19x   - 24

                                                    30x^2  - 45x  - 75

                                                                   64x + 51  <---- Remainder.     Division algorithm:

a = bq + r

Here a = the original expression , b = the divisor (2x^2 - 3x - 5), q is the quotient and r = the remainder,

26x^4 - 13x^3 - 74x^2 - 46x - 24 = (2x^2 - 3x - 5)(13x^2 + 13x + 15) + 64x + 51

= 2x^2(13x^2 + 13x + 15) - 3x(13x^2 + 13x + 15) - 5(13x^2 + 13x + 15) + 64x + 51

= 26x^4 + 26x^3 + 30x^2 - 39x^3 - 39x^2 - 45x - 65x^2 - 65x - 75+64x+51

= 25x^4 - 13x^3 - 74x^2 - 46x - 24 which is the same as the above.

Answer:

x=-3

Step-by-step explanation:

Answer:

Mandy is painting the wall

Answer:

2.5

Step-by-step explanation:

Answer:

20 people did not order hotdogs

Step-by-step explanation:

if there is 90 people and 7 must represent 70 / 90

Answer:

A=3 I'm 95% sure but if you're not sure then use PEMDAS

P-parentheses

E-exponets

M-multiply

D-divide

A-add

S-subtract

Answer:

8

Step-by-step explanation:

Answer:

45,42,126

multiply by 3

The next three terms in the sequence are : 45, 42 and 126

Given the sequence 2, 6, 3, 9, 6, 18, 15

Rule :

Starting with the first term ; 2 ;

2nd term = 2 × 3 = 6

3rd term = 6 - 3 = 3

4th term = 3 × 3 = 9

5th term = 9 - 3 = 6

6th term = 6× 3 = 18

7th term = 18 - 3 = 15

8th term = 15 × 3 = 45

9th term = 45 - 3 = 42

10th term = 42 × 3 = 126

Hence, the next three terms of the sequence are : 45, 42 and 126

Learn more : https://brainly.com/question/18109692

Thousandths is the 3rd decimal place

The answer is 3.008

Answer:

Area covered by red target = 23/50

Step-by-step explanation:

Given:

Total number of shot = 50

Section      Number of shots

Red                      23

Blue                      8

Orange               10  

Yellow                 9

Find:

Area covered by red target

Computation:

Area covered by red target = 23/50

Area covered by red target = 1/2 of total area

Answer:

The fraction of the area of the Red section is [tex]\dfrac{23}{50}[/tex]

Step-by-step explanation:

Given that,

The number of times the arrow landed on each colored section of the spinner is shown in the table.

Tamara spun the arrow on a spinner 50 times.

Section = Red, Blue, Orange, Yellow

Number of times arrow landed = 23, 8, 10, 9

We need to calculate the fraction of the area of the Red section

Using formula of fraction of area

[tex]fraction\ of\ area=\dfrac{Red\ section}{total\ section}[/tex]

Put the value into the formula

[tex]fraction\ of\ area=\dfrac{23}{50}[/tex]

Hence, The fraction of the area of the Red section is [tex]\dfrac{23}{50}[/tex]

Answer: 1/15

Step-by-step explanation: A. If 1/3 cup makes 5 rolls, you need to know how many cups make one. (1/3)/5 = 1/15  Take the number of cups for one roll and multiply it by 3.  1/15 x 3  Final Answer = 3/15

B. Take the number of cups you have divided by 1/3 (since you know how many roles this makes)  (5 2/3) / (1/3)  Final Answer = 17

C. Well, we already solved for this one in A, didn't we?  Final Answer = 1/15

Answer:

80 lb of salt

Step-by-step explanation:

Let us assume the water flows into the rank for x minutes.

There is an initial of 60 gallons of water in the tank and water flows in at 3 gal/min. In x minute, the amount of water in the tank = 60 + 3x

Water flows out at 1 gal/min, therefore in x minute the amount of water in the tank = 60 + 3x - x = 60 + 2x

The tank begins to overflow when it is full (has reached 130 gallons). Therefore:

130 = 60 + 2x

2x = 130 - 60

2x = 70

x = 35 minutes.

In 35 minutes the tank would start to overflow.

1 lb salt per gallon flows into the tank at 3 gal/min, in 35 min the amount of salt that entered the tank = 3 gal/min × 35 min × 1 lb/gal = 105 lb

1 lb salt per gallon flows out of the tank at 1 gal/min, in 35 min the amount of salt that flow out of the tank = 1 gal/min × 35 min × 1 lb/gal = 35 lb

Initially there is 10 lb of salt dissloved into 60 gallons of water.

Therefore the amount of salt is in the tank when it is about to overflow = 10 + 105 - 35 = 80 lb of salt.

Answer:

-433

Step-by-step explanation:

Step 1: Define

-5(4 + 9s) - 7(4q - 6)

s = 7

q = 5

Step 2: Simplify expression

Distribute: -20 - 45s - 28q + 42

Combine like terms: -45s - 28q + 22

Step 3: Substitute

-45(7) - 28(5) + 22

Step 4: Evaluate

-315 - 140 + 22

-445 + 22

-433

Answer:

Step-by-step explanation:

Answer:

156

Step-by-step explanation:

CD+BC=BD

[tex](5x - 15) + 4x = 9x - 15 = 8x + 4 \\ x = 19 \\ bd = 8x + 4 = (8 \times 19) + 4 = 156[/tex]

Answer:

Step-by-step explanation:

-18 is a integer because it has negative sign

☽------------❀-------------☾

Hi there!

~

-18 is an integer number because of the " - " sign. I hope the picture will explain why -18 is an integer number!

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

341

Step-by-step explanation:

1+4=5

5+16=21

21+64=85

85+256=341

Answer:

1 term 3x²

two term  x+8,  3x³ +5x²

3 term 2x²+x-3

Step-by-step explanation:

Answer:

204

Step-by-step explanation:

I mean logical right lol

Answer:A plane flew to its destination 300 miles away. With a tail wind, the flight took 5/6 of an hour. The return trip, with a head wind, took 1 hour....

Step-by-step explanation:

Answer:

420.7

Step-by-step explanation:

Answer:

-14 I believe

Step-by-step explanation:

Answer:

Its A.

Step-by-step explanation:

Answer:

hello!

Step-by-step explanation:

The number 92 is a rational number if 92 can be expressed as a ratio, as in RATIOnal. A quotient is the result you get when you divide one number by another number. For 92 to be a rational number, the quotient of two integers must equal 92.

Answer:

[tex]\frac{1}{109^{53}}[/tex]

Step-by-step explanation:

[tex]\frac{109^{41}}{109^{94}}=109^{41-94}=109^{-53}=\frac{1}{109^{53}}[/tex]

100 x 0.64 = 64.

All you have to do is multiply the numbers as if there wasn’t a decimal.

Then you add a decimal after 2 numbers.

.64 has a decimal after 2 numbers so your answer would have a decimal after 2 numbers also.

So when you get 6400 you out a decimal after 00.

That gives you 64

Answer: 0 is a imaginary number

Step-by-step explanation: