Delicious Candy markets a two-pound box of assorted chocolates. Because of imperfections in the candy making equipment, the actual weight of the chocolate has a uniform distribution ranging from 31 to 32.5 ounces. What is the probability that a box weighs more than 32.2 ounces?

Answer:

10% interest.

Step-by-step explanation:

Interest I = PRT/100

If the rate R = x% we have

550 = P*x *1 / 100

and

770 = P*(x + 4) * 1 / 100

so From  first equation

Px = 55000  and from the second

Px + 4P =  77000

So Px = 77000 - 4P

Therefore  77000 - 4P = 55000

4P = 22000

P = 5,500

So x = 55000/5500 = 10%.

And  the rate for the other fund is 10 + 4 = 14%.

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:

-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:

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:

26.36

Step-by-step explanation:

Hundredths are the second decimal place from the decimal. You would round up to 26.36 because the number before that is up to 5. If it was below 5 you would round down to 26.35.

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.

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]

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:

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:

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

Answer:

-13

Step-by-step explanation:

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:

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:

Amount of money David received = £ 175

Step-by-step explanation:

Both of them share their profit in a ratio of 5:7 . Tina got £70 more than David. Let

the amount David received = a

amount Tina received = 70 + a

the total profit = 70 + 2a

Amount David received = 5/12 × 70 + 2a = a

Therefore,

5/12 × 70 + 2a = a

350 + 10a/12 = a

cross multiply

350 + 10a = 12a

collect like terms

350 = 12a - 10a

350 = 2a

divide both sides by 2

a  = 350/2

a = 175

Amount of money David received = £ 175

Answer: (-3, -2)

Step-by-step explanation:

Plug in -2 for y to find x

x - 5(-2) = 7

Multiply -5 and -2

x + 10 = 7

Subtract 10 from both sides

x = -3

The first ordered pair is (-3, -2)

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:

-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:

anything that is not -2+3x or x=2/3 is wrong

Step-by-step explanation:

Answer:

Pentagon

Step-by-step explanation:

the head is the closest I see

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:

t = d/s

t = 6.4 / 2 miles

t = 3.2 miles

Step-by-step explanation:

follow me plzzz

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:

3rd Matrix

Step-by-step explanation:

When you start putting the coefficients in as the matrix, you see that -9 has to be the 1st number, so that eliminates choice B and choice D as answers. You are left with choices A and C. C is the correct choice because when you plug in the second equation, your coefficient is -5, not 0.

Answer:

First Matrix

Step-by-step explanation:

Looking at the first equation, we see that the leading coefficient is -9. This gets rid of choice B and D because the first number in these matrices are not -9. You are left with choices A and C. Looking at the second equation, we see that there is no "w" variable, so we need to add one. The coefficient of this "w" is going to be 0. This means that A is the correct choice. Just to be sure though, evaluate all other coefficients to see if they line up with the matrix. Hope this helps.

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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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 is not specified the compounding period, which in general is a month these days.  So we will assume money is compounded each month, otherwise there is no point depositing monthly.

1. Yolanda:

APR=5% is equivalent to

Monthly interest = 5%/12 = 5/12% = 5/1200 = 1/240 = i

Monthly deposit = 100 = A

Future value after 14 years = 14*12 months = 168 months = n

FV1 =  A((1+i)^n-1)/i

=100*((1+1/240)^168-1)/(1/240)

= $24259.83

2. Zach

He deposits 1200 at the end of the year.  The last payment does not benefit from interest.

Since it is a yearly payment, each amount earns interest over a year, giving an annual interest of

(1+i)^12 -1 = 1.051161897881733 -1 =0.051161897881733 = j

Thus for 13 annual payments with annual interest j gives a compounded amount after 14 years, plus the last payment which does not earn interest

FV2 = A((1+j)^n-1)/j

= 1200((1.051161897881733)^13-1)/(0.051161897881733)+1200

= 22613.34

Summary

Total investments:

Yolanda = 12*100*14 = 16800

Zach = 1200 * 14 = 16800

So both investors have invested $16800 over the 14 year period.

Since Yolanda achieves a higher future value after 14 years ($24259.83) over that of Zach ($22613.34), financially Yolanda has a better strategy.

Note:

If zach had invested annually at the beginning of the year, he would have obtained:

A((1+j)^n-1)/j

= 1200((1.051161897881733)^14-1)/(0.051161897881733)

= 24908.88

which is superior over Yolanda's return.

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:

  x = 4√5

Step-by-step explanation:

The triangles are all similar, so corresponding lengths are proportional.

  hypotenuse/short side = x/5 = (11+5)/x

  x^2 = 80 . . . . cross multiply

  x = 4√5 ≈ 8.94427

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:

3x

Step-by-step explanation:

If Dan is x years old and Olly is 3 times as old, that means that Olly's age is 3 * x or 3x for short.

Answer:

3x

Step-by-step explanation:

If Dan is x years old and Olly is 3 times old as Dan, then the expression is 3x.