The confidence interval on estimating the heights of students is given as (5.4, 6.8). Find the sample mean of the confidence interval.

Options

(A)350 (B)375 (C)725 (D)750 (E)775

Answer:

(E)775

Step-by-step explanation:

From the attached graph

In Year 5

Therefore the Cost of 100 shares in ODX Group, Inc. and 300 shares in  Peer Comms Ltd, in Year 5

=175+3(200)

=175+600

=$775

The correct option is E.

Answer:

2925

Step-by-step explanation:

27 choose 3

(27!) / (24!3!)

the 24! cancels leaving the numerator with 27 x 26 x 25

(27 x 26 x 25) / (3 x 2 x 1)

Canceling out we get

9 x 13 x 25 which works out to be

2925!

Answer:

What expression? Anyways it is 17,550 different ways.

Answer:

-72

Step-by-step explanation:

3*24=72

So he is 72 foot below see level or -72

Martin descended to a depth of 72 feet below sea level.

Ricardo descended to a depth of 24 feet below sea level. His friend Martin descended 3 times as far.

If Ricardo descended to a depth of 24 feet below sea level, and Martin descended three times as far, we can calculate Martin's descent by multiplying Ricardo's depth by 3.

Martin's depth = Ricardo's depth * 3

Martin's depth = 24 feet * 3

Martin's depth = 72 feet

Therefore, Martin descended to a depth of 72 feet below sea level.

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Answer:

33%

Step-by-step explanation:

The multiples of 3 are 3,6,9,12

Sum is 6+14+12+1 = 33

The total is 3+6+8+11+14+16+15+12+9+5+1=100

The experimental probability is  number of multiples of 3 over the total

33/100 = 33%

Answer: 102 people and the sample is people with pre-owner vehicles.

Step-by-step explanation:

Answer:

23.63

Step-by-step explanation:

multiply the cost by the pounds

Answer:

$23.63

Step-by-step explanation:

3.4 X 6.95 = 23.63

Answer:

$24, $30, $36

Step-by-step explanation:

First we need to find the unit rate.

1. 18÷3 = 6

So that means one taco costs $6.

6*4 = 24

6*5 = 30

6*6 = 36

The cost of 4 taco is $24, 5 taco is $30 and 6 taco is $36.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

3 tacos cost $18.

Cost of 1 taco= 18/ 3

= $6

So, cost of 4 taco = 4 x 6 = $24

and, cost of 5 taco = 5 x 6= $30

and, cost of 6 taco = 6x 6= $36

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Complete Question:

You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you​ survey? Assume that you want to be 99% confident that the sample percentage is within 3.5 percentage points of the true population percentage.

Answer:

1,355 air passengers must be surveyed

Step-by-step explanation:

Note that the population proportion is not stated in the question, it will be assumed to be 50%. i.e. p = o.5

Error Margin, E = 3.5% = 0.035

Confidence Level, CL = 90% = 0.99

Therefore, Significance Level, [tex]\alpha = 0.01[/tex]

At [tex]\alpha = 0.01[/tex], [tex]Z_{crit} = Z_{\alpha/2} = Z_{0.005} = 2.576[/tex]

The number of randomly selected air passengers that must be surveyed:

This is the sample size and is given by the equation:

[tex]n = \frac{(Z_{\alpha/2})^2 p(1-p)}{E^2} \\n = \frac{2.576^2 * 0.5 *(1-0.5)}{0.035^2}\\n = 1354.24\\n = 1355[/tex]

Total depth of the bottom of the plate is 4 + 1 = 5

Force = limit(5,1) 62.5 *7* x * dx

= 437.5. Lim(5,1) x*dx

= 437.5(x^2/2)^5 , 1

= 437.5 x (5^2/2 - 1/2)

= 437.5 x 12

= 5,250 pounds

The hydrostatic force against one side of the plate will be 5250 pounds.

The force exerted by the water of surface is known as hydrostatic force.

A 4-ft-high and 7-ft-wide rectangular plate is submerged vertically in water so that the top is 1 ft below the surface.

[tex]\rm Force = \int^5_1 62.5 *7* x * dx\\\\\\ Force = 437.5 \left [ \dfrac{x^2}{2} \right]^5_1\\\\\\Force = 218.75 \left [ x^2 \right]^5_1\\\\[/tex]

Solve the equation further, we have

Force = 218.75 x (5² – 1²)

Force = 218.75 x 24

Force = 5,250 pounds

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Answer:

-2v - 3x

Step-by-step explanation:

-4(2x-v) + (-6v+5x)

Expand.

-8x + 4v - 6v + 5x

Add or subtract like terms.

-6v + 4v - 8x + 5x

-2v - 3x

Answer: -2v-3x

Step-by-step explanation:

Answer:

402.9 $

Step-by-step explanation:

first you must turn foot into yards "every 3 foot = 1 yard"

3.33 , 4

then we will use the area=length x width formula

3.33 x 4 = 13.32 square yards

the cost of the carpet is

13.32 x 30.25 = 402.9$

Answer: 768 cubic inches.

Step-by-step explanation:

V= L * W *H

V = 16 * 8 * 6  

V= 768

Answer:

Fiona is completing the square to solve the polynomial equation.

x2 – 4x + 1 = 0

What should be her first step?

CORRECT--->>> 1) isolating the constant 1

2) adding 4 to both sides of the equation

3) isolating the second term, –4x

4) adding 1 to both sides of the equation

Step-by-step explanation:

EDGE 2021

The correct first step is to add 7 on both sides of the equation.

Option B is the correct answer.

We have,

To solve the equation 3x - 7 = 8, the first step is to add 7 on both sides of the equation.

We can also solve the equation as:

3x - 7 = 8

Adding 7 on both sides.

3x - 7 + 7 = 8 + 7

3x = 15

Dividing 3 on both sides.

x = 15/3

x = 5

Therefore,

The correct first step is to add 7 on both sides of the equation.

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The complete question:

Solve the equation 3x - 7 = 8.

What should be your first step?

O Isolating the constant term, -7

O Adding 7 to both sides of the equation.

O Isolating the second term, 3x.

O Subtracting 8 from both sides of the equation.

Step-by-step explanation:

It's your 6/5 an exponent?

Answer:

18 sides

Step-by-step explanation:

Given the interior angle of a regular polygon, we can find that the exterior angles are (180°-interior°). And the number of sides of the polygon times the exterior angles must equal 360°. So we can write:

(180-160)°•(n)=360°

(20°)•(n)=360°

n=(360/20)°

n=18 sides

Answer:

many different 5-card hands are possible if the drawing is done without replacement in 2598960 ways

Step by step Explanation:

This problem is on combination, which is a selection of items from a particular collection, but here the order of selection does not matter.

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer:

sorry for such a late answer but the correct option is the second table

Step-by-step explanation:

none needed

Answer: It is the second option 0

Step-by-step explanation: Because I took that test and got it right

As we are not being asked to draw this component form, it makes things a bit more simple. Take the following points that we are given, ( 8, - 2 ) and ( - 2, - 2 ) and consider them in the form ( P1, P2 ) and ( Q1, Q2 ). To determine this component form, you would have to subtract P1 and Q1, P2 and Q2 - or vice versa -

[tex]( 8 - ( - 2 ) ), ( - 2 - ( - 2 ) \\( 10, 0 )\\< 10, 0 >[/tex]

Solution = Option A

Answer:

The length is 99 cm

Step-by-step explanation:

The perimeter of a rectangle is

P = 2 (l+w)

310 = 2( l+56)

Divide each side by 2

310/2 = 2/2( l+56)

155 = l+56

Subtract 56

155-56 = l+56-56

99 = l

Answer:

99 centimeters

Step-by-step explanation:

Use formula for perimeter of a rectangle.

P = 2l + 2w

310 = 2l + 2(56)

Solve for l.

310 - 2(56) = 2l

310 - 112 = 2l

198 = 2l

99 = l

Answer:

The answer is below

Step-by-step explanation:

For the first clock that is 20 minutes faster in a day, that means it is [tex]\frac{20\ min}{60\ min/hr}=\frac{1}{3}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours faster.

Since 1 day = 1/3 hr faster

x days = 24 hr faster

Let x number of days be required to be 24 hr faster. To find x we use the formula:

[tex]x=\frac{24 \ hr* 1\ day}{\frac{1}{3}hr } \\x=72\ days[/tex]

For the second clock that is 30 minutes slower in a day, that means it is [tex]\frac{30\ min}{60\ min/hr}=\frac{1}{2}hr[/tex] faster every day. For it to show the correct time, the clock should be 24 hours slower.

Since 1 day = 1/2 hr slower

y days = 24 hr faster

Let x number of days be required to be 24 hr slower. To find x we use the formula:

[tex]y=\frac{24 \ hr* 1\ day}{\frac{1}{2}hr } \\y=48\ days[/tex]

Answer:

-13

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

There is only 1 seven card from the 8 total cards.

1 out of 8.

1/8 = 0.125

P(7) = 12.5%

Answer:

12.5%

Step-by-step explanation:

Total Cards = 8

Number 7 = 1

P(7) = 1/8

In %age:

=> 12.5%

Answer:

By either graphing or completing the square

Step-by-step explanation:

The fastest way to find the vertex is to graph the equation and trace the graph to your vertex to find your point.

Alternatively, you can complete the square to get form f(x) = a(bx - h)² + k (vertex form) and find your vertex (-h, k).

Answer:

Add 3, 144

+3,990

And you wil get your answer

7, 134

Answer: 3.5 m/s

Step-by-step explanation:

[tex]v=\frac{vf+vi}{2}[/tex]

[tex]v=\frac{5+2}{2}[/tex]

5+2=7

7/2= 3.5

Answer: 0.25

Step-by-step explanation:

The relative frequency of the customers that buy computers is equal to the number of customers that bought a computer divided the total number of customers that entered the shop.

p = 25/100 = 0.25

If we take this as the probability, then the probability that the next customer that enters the shop buys a computer is 0.25 or 25%

Answer:

solution,

X=6

[tex]5x \\ = 5 \times x \\ = 5 \times 6 \\ = 30[/tex]

Hope this helps...

Good luck on your assignment

Answer:

Step-by-step explanation:

x = 6

5x = 5 *6 = 30

Answer:

All possible rational zeros are given by the rational zeros theorem are 1, -1, 19 and -19.

Step-by-step explanation:

The rational zeros theorem indicates that for a polynomial

f (x) = aₙxⁿ + aₙ₋₁xⁿ⁻ + ⋯ + a₂x² + a₁x + a₀

where aₙ, aₙ₋₁, ⋯ a₀ are integers, the rational roots can be determined from of the factors of aₙ and a₀.

Being p divisor of the independent term a₀ and q divisor of the coefficient  principal aₙ, then all rational factors or possible rational roots will take the form of [tex]\frac{p}{q}[/tex]

In the case of p(x)=x³ -7x² +19, aₙ=1 and a₀=19

So:

Dividers of the independent term (19): p=±1,±19

Divisors of the main coefficient (1): q=±1

Being the possible roots of the polynomial: [tex]\frac{p}{q}=[/tex]±1, ±19

All possible rational zeros are given by the rational zeros theorem are 1, -1, 19 and -19.

Answer:

a) 6t

b) 6q

c) 8a

d) 2r + 22y

Step-by-step explanation:

a) 6t = 2t +4t

b) 6q = 7q + q-2q

c) 8a = 6-6+8a

d) 2r + 22y = 12r + 10y - 10r +12y

good luck!!

Answer:

A = 20,000

Step-by-step explanation:

200,000 ÷ 10 = 20,000

The loan amount going to be for a home that cost  $200000 home. You plan to pay 10% as a down payment and take out a 30-year loan for the rest is $180000.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

The cost of the house, C = $200000,

The time = 30 years,

If the down payment is 10% then the remaining amount,

Down payment  amount, D = 10% of 2000000 = $20000

Remaining amount = C - D

Remaining amount = $200000 -  $20000 = $180000,

Therefore, the loan amount is $180000.

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