HELPP NEEDED ASAP PLEASE.
There are 20n members in the Trumpington marching band, and when they line up in rows of 26, there are 4 band members left over. If n is an integer and there are fewer than 1000 band members, what is the maximum number of people that could be in the Trumpington marching band?

Answers

Answer 1

Answer:

The maximum number of people that can be in the Trumpington marching band is 940 people

Step-by-step explanation:

The number of members = 20·n

The number per row = 26

The number left = 4

Therefore, we have;

If there are x rows of 26, we have;

26 × x = 20·n - 4

We have;

26 × x < 996

26 × x < 20·n

20·n < 996 therefore, 20·n ≤ 980

We check that 980/26 = 37  and some fractions

26 × 37 = 962 which will leave a remainder of 2

Therefore, we note that for 26 to have a remainder of 4, the last digit of the factor x must be 6 so has to get the last digit of the product 26 × x to be 6 while the digit of the product 20×n  is 0 which will live 4 members out to get to the next 10 as follows;

26 × 36 = 936 while 20 × 47 = 940

We get 940 - 936 = 4 members

Therefore, the maximum number of people that can be in the Trumpington marching band = 940.


Related Questions

???? help please i don’t understand this

Answers

Answer:

  1.5

Step-by-step explanation:

We hope there is something in the context of this question that tells you this is a geometric sequence. If not, it is not possible to choose an appropriate answer.

__

Assuming a geometric sequence, the n-th term is found from the first term (a1) and the common ratio (r) to be ...

  an = a1·r^(n-1)

Using the given values, we can solve simultaneous equations to find a1 and r:

  a2 = 48 = a1·r^(2-1) = a1·r

  a5 = 6 = a1·r^(5-1) = a1·r^4

The ratio of these terms is ...

  a5/a2 = (a1·r^4)/(a1·r) = r^3

  6/48 = r^3 = 1/8

  r = ∛(1/8) = 1/2

__

To find the 7th term, we can make use of the fact that one term is related to the next by the common ratio. (We don't need to find a1.)

Then the 7th term is ...

  a7 = a1·r^(7-1) = a1·r^6 = (a1·r^4)·r^2 = a5·r^2

  a7 = 6·(1/2)^2 = 6/4 = 1.5 . . . . . . substitute for a5 and r

The 7th term is 1.5.

if 25% of a number is 75 find the number​

Answers

Answer:

x = 300

Step-by-step explanation:

of means multiply and is means equals

25% * x = 75

Change to decimal form

.25x = 75

Divide each side by .25

.25x/.25 = 75/.25

x = 300

Answer:

300

Step-by-step explanation:

Assume the unknown value is 'Y'

75 = 25% x Y

75 = 25/100 x Y

Multiplying both sides by 100 and dividing both sides of the equation by 25 we will arrive at:

Y = 3 x 100/25

Y = 300%

Answer: 75 is 25 percent of 300

For how many positive integer values of N is the expression 36/N + 2 an integer?

Answers

Answer:

Step-by-step explanation:

36=2×2×3×3

factors of 36 are 2,3,4,6,9,12,18,36

when N+2=2,N=0 (0 is neither positive nor negative.)

N+2=3,N=3-2=1

N+2=4,N=4-2=2

N+2=6,N+6-2=4

N+2=9,N=9-2=7

N+2=12

N=12-2=10

N+2=18,N=18-2=16

N+2=36,N=36-2=34

so for 7 positive integer values of N,36/(N+2)is a positive integer.

Since there are 8 factors of 36 hence 8 positive integers are possible for the expression 36/N + 2 to be an integer

The total number of positive integers needed will be equivalent to all the factors of 36 as shown;

The factors of 36 are 1, 2, 3, 6, 9, 12, 18, 36. Since there are 8 factors of 36 hence 8 positive integers are possible for the expression 36/N + 2 to be an integer

Learn more on factors here: https://brainly.com/question/25829061

what's the greatest common factor of 5x^2+3x

Answers

The answer to that question is (5x+3).

Answer:

GCF = x

Step-by-step explanation:

The greatest common factor is "x"

[tex]5\,x^2+3\,x=x\,(5x+3)[/tex]

it is the only common factor we can extract from both terms

Evaluate the expression 5^-2

Answers

Hi there! :)

Answer:

[tex]\huge\boxed{\frac{1}{25}}[/tex]

When evaluating an expression with a negative exponent, the reciprocal will need to be taken. Therefore:

[tex]5^{-2} = \frac{1}{5^{2} } = \frac{1}{25}[/tex]

1/25

= 1/5*5

=1/5^2

=1/25




2x + 3y = 40
5x + 2y = 30​

Answers

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

          Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

A) Let's solve for x.  [tex]2x + 3y = 40[/tex]

Step 1: Add -3y to both sides.

[tex]2x + 3y + -3y = 40 + -3y[/tex]

[tex]2x = -3y + 40[/tex]

Step 2: Divide both sides by 2.

[tex]\frac{2x}{2} = \frac{-3y + 40}{2}[/tex]

[tex]x = \frac{-3}{2} y + 20[/tex]

Answer : [tex]\frac{-3}{2} y + 20[/tex]

~~~~~~~~~~~~~~~~~

B) Let's solve for x. [tex]5x + 2y = 30[/tex]

Step 1: Add -2y to both sides.

[tex]5x + 2y + -2y = 30 + -2y[/tex]

[tex]5x = -2y + 30[/tex]

Step 2: Divide both sides by 5.

[tex]\frac{5x}{5} = \frac{-2y + 30}{5}[/tex]

[tex]x = \frac{-2}{5} y + 6[/tex]

Answer : [tex]\frac{-2}{5} y + 6[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

I think I found it
X=10/11
Y=140/11

simplify (y+x) 2-2xy​

Answers

Answer:

y² + x²

Step-by-step explanation:

Given

(y + x)² - 2xy ← expand (y + x)² using FOIL

= y² + 2xy + x² - 2xy ← collect like terms

= y² + x²

Ans2x + 2y -2xy

Step-by-step explanation:

First You need to distribute 2 to both x and y. 2x + 2y-2xy

II
Initial Knowledge
This morning, Leila's car had 19.79 gallons of fuel. Now, 2.8 gallons are left. How much fuel did Leila use?

Answers

Answer:

[tex]19.79 - 2.8 = 16.99gallons[/tex]

If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?

Answers

Answer:

If we have a system of linear equations:

y = a*x + b

y = c*x + d

And the graphs of the equations are the same line, this means that both lines have the same equation, then:

a = c and b = d.

Then we have only one equation (but repeated) and two variables, then we have infinite solutions for our system.

Another way to see this is:

When we have a system of linear equations, the solution is the point where the lines intersect.

But if both lines are the same line, then the lines intersect in infinite points, then we have infinite solutions.

Simplify the following expression -10x + 10x

Answers

Answer:

0

Step-by-step explanation:

the x after the 10 is literally just 1

so 10 x 1  =10

-10 + 10 = 0

One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.28 hour is desired. Past studies suggest that a population standard deviation of hours is reasonable. Estimate the minimum sample size required to estimate the population mean with the stated accuracy.

Answers

Complete question:

One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.28 hours is desired. Past studies suggest that a population standard deviation of 1.5 hours is reasonable. Estimate the minimum sample size required to estimate the population mean with the stated accuracy.

Answer:

111 students

Step-by-step explanation:

Given the following :

Margin of Error (E) = 0.28

Population standard deviation (sd) = 1.5

Recall:

Margin of Error(E) = Z * (sd/√n)

Taking a confidence interval of 95%

The Z value at a 95% confidence interval is 1.96

Plugging our values, we have :

Margin of Error(E) = Z * (sd/√n)

0.28 = 1.96 * (1.5/√n)

0.28 = 2.94 / √n

√n × 0.28 = 2.94

√n = 2.94 / 0.28

√n = 10.5

Square both sides to obtain n

n = 10.5^2

n = 110.25

Find the value of a.
3a-9=15​

Answers

Answer:

a = 8

Step-by-step explanation:

3a - 9= 15

To solve the equation send the constants to the right side of the equation

That's

3a = 15 + 9

simplify

3a = 24

Divide both sides by 3

[tex]\frac{3a}{3} = \frac{24}{3}[/tex]

The final answer is

a = 8

Hope this helps you

Answer:

a = 8

Explanation:

Step One - Add nine to both sides of the equation. This is the first step is to isolate the variable, a. This step will remove the negative nine from the equation.

3a - 9 = 15

3a - 9 + 9 = 15 + 9

3a = 24

Step 2 - Divide both sides of the equation by three. This is the last step to isolate the variable, a.

3a = 24

3a/3 = 24/3

a = 8

Since we have fully isolated the variable, a, we have determined its value.

Therefore, in the equation 3a - 9 = 15 the value of the variable is a = 8.

What is the product?
8.25 x
1
5
0.82
O 1.65
0 8.25
16.5​

Answers

Answer:

Answers

product, and assign a number to each person. ... 0.82. 12–13. 9. 0.18. 1.00. Total. 50. 1.00. F requency. 0. 1. 2. 3. 4. 5. 6. 7. 8 ... 3.12 (a) x = 25661.3333, ˜x = 25514.5 (b) Skewed ... N(8.25, 0.0002857).

Answer:

the answer is c

Step-by-step explanation:

i just took the test

Which of the c-values satisfy the following inequality? 2>c/3

Answers

Answer:

[tex]\Large \boxed{{c<6}}[/tex]

Step-by-step explanation:

2>c/3

Multiply both sides of the inequality by 3.

2(3)>c/3(3)

6>c

Switch sides.

c<6

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Let's solve your inequality step-by-step.

[tex]2 > \frac{c}{3}[/tex]

Step 1: Simplify both sides of the inequality.

[tex]2 > \frac{1}{3}c[/tex]

Step 2: Flip the equation.

[tex]\frac{1}{3}c < 2[/tex]

Step 3: Multiply both sides by 3.

[tex]3 * (\frac{1}{3} c) < ( 3) * (2)\\c < 6[/tex]

Answer : [tex]\boxed {c < 6}[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Em um posto de combustível, o litro da gasolina estava custando R$2,40.Um cliente gastou R$72,00 para encher o tanque de seu carro. O valor do litro da gasolina sofreu 2 aumentos sucessivos,ambos de 10%. Quando o mesmo cliente gastara para encher o tanque do seu carro, após esees aumentos

Answers

Answer:

english i think u need hekp

define space in detail.​

Answers

Answer:

space is the capacity that an object or shape weigh

Please help At a party of 102 people, 72 lb of potato salad is served. Write and solve and equation to find how many people each pound of potato salad serves.

Answers

Answer:

1.417

Step-by-step explanation:

102/72=1.417

2 Mayra is a caterer and charges $75 per plate plus a
set up fee of $30. The cost per person is represented
by C = 30+75p. If she is catering a wedding for 150
people, how much does the bride and groom spend
on food?

Answers

Answer:

$11,280

Step-by-step explanation:

Plug in 150 as p into the equation to solve for the cost, C:

C = 30 + 75p

C = 30 + 75(150)

C = 30 + 11,250

C = 11,280

= $11,280

Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 3150 . i. Sketch Musah's movement [Mark 4] ii. How far west is Musah's final point from the centre?

Answers

Answer:

Musah's final point from the centre = 60.355 steps

Step-by-step explanation:

From the given information:

Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 315°

The sketch for this information can be seen in the attached file below.

How far west is Musah's final point from the centre?

In order to determine how far west  is Musah's,

Let d be the distance of how far;

Then d = QR + RS cos θ

In the North West direction,

cos θ = cos 45°

d = 25 + 50( cos 45°)

d = 25 + 50( [tex]\dfrac{1}{\sqrt{2}}[/tex] )

d = 25 + 50( 0.7071)

d =25 + 35.355

d = 60.355 steps

Musah's final point from the centre = 60.355 steps

Ali was supposed to meet his friend in th evening every sunday. The first time he came at 4.30,the next time at5. 20,then at 6.30.Then at8. 00.When did he turn up the last time after that?

Answers

Answer:

9:50

Step-by-step explanation:

Given the following information :

First meeting = 4:30

Second meeting = 5:20

Third meeting = 6:30

Fourth meeting = 8:00

Frim careful observation of the meeting times :

Difference between the ;

Second and first meeting:

5:20 - 4:30 = 50 minutes

After that 20 minutes is added to the subsequent meetings as observed from the third and fourth meetings

6:30 - 5:20 = 70 minutes

8:00 - 6:30 = 90 minutes

Therefore, next meeting time :

(90 + 20) minutes = 110 minutes

8:00 + 110 minutes = 9:50

At a furniture shop, every chair came with either 1 or 2 cushions. The ratio of
the number of chairs to the number of cushions was 7:11, what fraction of
the chairs came with 2 cushions?​

Answers

Answer:  4/7

Step-by-step explanation:

the number of chairs = 7

the number of cushions = 11

Every chair has at least 1 cushion. There are 7 chairs so 7 cushions are used.

There is a total of 11 cushions and 7 cushions are already distributed to the chairs so there are 4 chairs with a 2nd cushion.

Chairs with 2 cushions ÷ Total chairs = 4/7

factor of x^3+x^2y+xy^2​

Answers

Answer:

[tex] x(x {}^{2} + xy + y {}^{2})[/tex]

Step-by-step explanation:

[tex]x {}^{3} + x {}^{2}y + xy {}^{2} = x(x {}^{2} + xy + y {}^{2})[/tex]

Hope this helps ;) ❤❤❤

need help will give 5 stars.

Answers

Answer:

t=0.64

Step-by-step explanation:

h = -16t^2 +4t +4

We want h =0 since it is hitting the ground

0 = -16t^2 +4t +4

Using the quadratic formula

a = -16  b = 4  c=4

-b ± sqrt( b^2 -4ac)

----------------------------

         2a

-4 ± sqrt( 4^2 -4(-16)4)

----------------------------

         2(-16)

-4 ± sqrt( 16+ 256)

----------------------------

         -32

-4 ± sqrt( 272)

----------------------------

         -32

-4 ± sqrt( 16*17)

----------------------------

         -32

-4 ± sqrt( 16) sqrt(17)

----------------------------

         -32

-4 ± 4 sqrt(17)

----------------------------

         -32

Divide by -4

1 ±  sqrt(17)

----------------------------

         8

To the nearest hundredth

t=-0.39

t=0.64

Since time cannot be negative

t=0.64

Answer:

0.64  

Step-by-step explanation:

0 = -16t^2 + 4t + 4

-4(4t^2 - t -1) = 0

t = [-(-1) +/- sqrt (1 - 4*4*-1)] / 8)

t = 0.64, -0.39

answer is 0.64

what is 3 squared (a) if a = 107

Answers

Answer:

Brainleist!

Step-by-step explanation:

This is the equation I'm solveingg [tex]3^{2(107)}[/tex]

if so...

here

3^214

or

1.2704234747596538696295415610762e+102

A pet store is offering a $5 in-store coupon for every person who buys a flea control product. If the flea control products range from $29.53 to $56.15, which compound inequality represents this situation?

Question 19 options:

29.53 ≤ x + 5 ≤ 56.15

29.53 ≤ x/5x ≤ 56.15

29.53 ≤x5≤ 56.15

29.53 ≤ 5 x – 5 ≤ 56.15

Answers

Answer:

29.53 ≤ x + 5 ≤ 56.15

Step-by-step explanation:

A $5 in-store coupon for every person who buys a flea control product which ranges between $29.53 to $56.15. This means that if you bought a flea control product you would be given an additional $5 that means that for buying a flea product, $5 is given to you. If you have $x, and you bought a flea product you would have x + 5. The inequality that represents this situation is given as:

29.53 ≤ x + 5 ≤ 56.15

If 1 and -1 are the zeroes of the polynomial p(x) = ax 3 + x 2 − 2x + b, find the values of a and b

Answers

Answer:

             a = 2,    b = -1  

Step-by-step explanation:

p(x) = ax³ + x² - 2x + b

p(1) = a(1)³ + 1² - 2•1 + b = a + 1 - 2 + b = a + b - 1

a + b - 1 = 0  ⇒   b = 1 - a

p(-1) = a(-1)³ + (-1)² - 2(-1) + b = -a + 1 + 2 + b = - a + b + 3

- a + b + 3 = 0    ∧   b = 1 - a

- a + (1 - a) + 3 = 0

- a + 1 - a + 3 = 0

-2a + 4 = 0

-2a = -4

 a = 2

b = 1 - 2 = -1

Find h, k, and p
Write the equation in standard form
Identify the missing pieces

Vertex (0,0); focus (0,-4)

Answers

Answer:

Step-by-step explanation:

This is a parabola. If we plot the vertex and the focus, we see that the focus is below the vertex. What this tells us is that the parabola opens "upside down" since the parabola wraps itself around the focus. If it opens upside down, then the format for the equation is

[tex]4p(y-k)=-(x-h)^2[/tex]

where p is the distance between the vertex and the focus (4), h is the first coordinate of the vertex (0), and k is the second coordinate of the vertex (0). Filling in the formula then:

[tex]4(4)(y-0)=-(x-0)^2[/tex] which simplifies down to

[tex]16y=-x^2[/tex] and then finally,

[tex]y=-\frac{1}{16}x^2[/tex]

Can you help me find all the seventh roots of unity? what do they look like graphed?

Answers

Answer:

There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.

The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.

How to find?

There are 4 fourth roots of unity and they are 1, i,−1 and−i

Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ⁡ ( 2 π ) + i sin ⁡ ( 2 π ) = 1.

Find all positive integers less than 100 whose 762nd power ends in the digits "41"

Answers

Answer:

  21, 29, 71, 79

Step-by-step explanation:

Only integers ending in 1, 3, 7, or 9 have powers that end in 1. For the numbers so ending, their sequences of powers mod 100 have a repeat length that is a divisor of 20. That is, raising any of these numbers to the 762nd power mod 100 is equivalent to squaring them, mod 100.

For example, the powers of 29 mod 100 are, beginning with the first power, ...

  {29, 41, 89, 81, 49, 21, 9, 61, 69, 1}

This sequence is of length 10, typical of many of the numbers ending in 1, 3, 7, or 9.

The only positive integers less than 100 whose squares end in 41 are ...

  21, 29, 71, 79 . . . . . positive integers < 100 satisfying n^762 mod 100 = 41

To which set or sets below does the number -1/2 belong

Answers

Answer: set of rational numbers, set of real numbers

Explanation:

The number -1/2 is rational as it is a fraction or ratio of two integers (-1 and 2). We can never have 0 in the denominator. Since it is rational, it means the number is not irrational. Recall that "irrational" means "not rational", so it is the opposite of rational.

-1/2 = -0.5 is not a whole number as it has a fractional or decimal portion. This means -1/2 is not an integer either, nor is it a natural number. The negative portion is another reason to exclude -1/2 from the list of whole numbers and natural numbers.

But we can say that -1/2 = -0.5 is a real number. Any number you encountered so far is a real number until you get to the complex numbers.

Other Questions
For the reaction 3H 2(g) + N 2(g) 2NH 3(g), K c = 9.0 at 350C. What is the value of G at this temperature when 1.0 mol NH 3, 5.0 mol N 2, and 5.0 mol H 2 are mixed in a 2.5 L reactor? a cone with base radius 7 cm has a volume of 308 cm cube find the vertical height of the cone take 22/7pls now Find the term that must be added to the equation x2+4x=1 to make it into a perfect square In its most recent annual report, Appalachian Beverages reported current assets of $70,300 and a current ratio of 1.90. Assume that the following transactions were completed:_________. (1) purchased merchandise for $6,700 on account and (2) purchased a delivery truck for $10,000, paying $2,000 cash and signing a two-year promissory note for the balance.Compute the updated current ratio (round answers to 2 decimal places)Transaction (1) ________________Transaction (2) ________________I am not sure how to do this problem, I understand how to general compute the current ration:________.Current raion= currenct assets/current liabilitiesbut how do you do compute an update?If someone could show me how to do this correctly, I will award them lifesaver. Discuss the 21 st century competencies or skills required in the information society and 4 ways you can apply it during supported teaching on schools Discuss three major factors that contribute to an employee's decision to join a union. Discuss the five reasons that have contributed to the trend of decline in unionization g Airborne Airlines Inc. has a $1,000 par value bond outstanding with 10 years to maturity. The bond carries an annual interest payment of $90 and is currently selling for $960. Airborne is in a 20 percent tax bracket. The firm wishes to know what the aftertax cost of a new bond issue is likely to be. The yield to maturity on the new issue will be the same as the yield to maturity on the old issue because the risk and maturity date will be similar.Required:a. Compute the yield to maturity on the old issue and use this as the yield for the new issue.b. Make the appropriate tax adjustment to determine the aftertax cost of debt. What is the volume of the rectangular prism 3 1/2, 5 1/4,4 in When someone files a complaint of sexual harassment, a district official will begin a prompt, confidential, impartial investigation of the incident.a. Trueb. False Gail paid a total of $12,000 for stock that was $6 per share. If she sold all her shares for $18,000, how much profit on each share did she make?A$9B$3.S2000D$6.000 FOR 40!!! Pointsss!!!A person is experiencing abdominal blockages, in which food is not properly moved through the small intestines. This could indicate a problem with which layer of the alimentary canal, and why?A) submucosa, because this later preforms peristalsis B) submucosa, because this layer preforms absorptionC) muscle layer, because this layer preforms peristalsisD) muscle layer, because this layer performs absorption Which of the following statements is true? A. Isotopes of the same element have the same number of protons and neutrons. B. Isotopes have the same physical properties as the normal atom but different chemical properties. C. Isotopes have the same chemical properties as the normal atom but different physical properties. D. If an isotope of one element has the same atomic mass as another element, they will have the same properties. Find the length of RA. A. 42 B. 84 C. 14 D. 7 Completa el espacio en blanco con la mejor respuesta.No tengo dinero. Necesito _________ ms dinero.ganargozarolvidarsaludar 2. (1 pt) The following statement is true or false;When we know the population standard deviation, o, we use a standard normaldistribution (z-score) to calculate the error bound EBM and construct theconfidence interval and when the population standard deviation, o, is unknown,we use a Student's t distribution (t-score) to calculate the error bound EBM andconstruct the confidence interval.a. trueb. false A cylindrical container with a cross-sectional area of 66.2 cm2 holds a fluid of density 856 kg/m3 . At the bottom of the container the pressure is 119 kPa . Assume Pat = 101 kPa A) What is the depth of the fuild? B) Find the pressure at the bottom of the container after an additional 2.35103 m3 of this fluid is added to the container. Assume that no fluid spills out of the container. Evaluate the following expressions: 2(1 + 3) 7 You weigh six packages and find the weights to be 34, 24, 74, 29, 69, and 64 ounces. If you include a package that weighs 154 ounces, which will increase more, the median or the mean? A. The median and the mean will stay the same. B. The median and mean are affected the same amount. C. The mean increases more. D. The median increases more. If today is Friday, what day will it be in 51 days? Show your thinking. What is 7 x -5?........