Lorenzo increases all the prices on his restaurant menu by 8%
Before the increase, the price of a dessert was £4.25
Work out the price of the dessert after the increase.

Answer:

P(X > 0.418) = 0.27425

Step-by-step explanation:

We are given;

Population mean; μ = 0.4 inch

Variance; Var = 0.0009

Sample mean; x¯ = 0.418

First of all let's get the standard deviation which is;

σ = √Var

σ = √0.0009

σ = 0.03

Now, z - score formula is;

z = (x¯ - μ)/σ

z = (0.418 - 0.4)/0.03

z = 0.6

We want to find the probability that the diameter of a randomly selected pipe will exceed 0.418 inch. Thus;

P(X > 0.418) = 1 - P(X ≤ 0.418)

From z-distribution table attached, P(X ≤ 0.418) = P(Z) = 0.72575

Thus;

P(X > 0.418) = 1 - 0.72575

P(X > 0.418) = 0.27425

Answer:

The value is  [tex]\sigma = 9.976[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is [tex]\mu = 61.6[/tex]

Given that 20% of the values are greater than 70, the z-score to  the right of the curve  corresponding to 20% (0.2) of the values is

     [tex]z-score = 0.842[/tex]  

Generally this z-score is mathematically represented as

       [tex]z-score = \frac{x - \mu }{\sigma }[/tex]

Here  x = 70  

So

     [tex]0.842 = \frac{70 - 61.6 }{\sigma }[/tex]

=>   [tex]\sigma = 9.976[/tex]

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

i. R699. 2

ii. 26.4%

Step-by-step explanation:

Given the following data;

First discount (on original price) = 20%

Second discount (on reduced price) = 8%

Original price = R950.00

*To find how much Jay will pay*

First discount;

[tex] Discount = \frac {20}{100} * 950[/tex]

[tex] Discount = 0.2 * 950[/tex]

Discount = R190.00

Reduced price = 950 - 190

Reduced price = R760.00

Second discount;

[tex] Discount = \frac {8}{100} * 760[/tex]

[tex] Discount = 0.08 * 760[/tex]

Discount = R60.8

Selling price = 760 - 60.8

Selling price = R699.2

Therefore, Jay will pay R699.2 for the speaker.

ii. To find the final discount percentage;

[tex] Percent \; discount = \frac {original \;price - selling \; price}{original price} * 100[/tex]

Substituting into the equation, we have;

[tex] Percent \; discount = \frac {950 - 699.2}{950} * 100[/tex]

[tex] Percent \; discount = \frac {250.8}{950} * 100[/tex]

[tex] Percent \; discount = 0.264* 100[/tex]

Percent discount = 26.4%

Therefore, the final discount percentage Jay gets off the original price is 26.4%.

Answer:

6 miles

Step-by-step explanation:

3 minutes = 1/20 of an hour

120 miles x 1/20 of an hour = 6 minutes

Answer:

The slope is 4

The equation is y=4x-7

Step-by-step explanation:

y-y/x-x I used this equation and plugged the numbers in.

Answer:

1539.38cm³

Step-by-step explanation:

V=πr2h=π·72·10≈1539.3804cm³

Answer:

0.0077

Step-by-step explanation:

From the given information;

Each outcome possesses the same probability of 1/6 in a single roll.

The required probability can be estimated by using the multinomial distribution;

Therefore;

[tex]P = \dfrac{5!}{2!\times 1!\times 1!\times\times 1! }\times (\dfrac{1}{6})^2\times (\dfrac{1}{6})\times (\dfrac{1}{6})\times (\dfrac{1}{6})[/tex]

[tex]P = 60\times (\dfrac{1}{36})\times\dfrac{1}{216}[/tex]

P = 0.0077

The required probability = 0.0077     to 4 decimal decimals

Answer:

because x,y,z are in continuous proportion

=> x/y = y/z

<=> xz = y² =>

[tex]\frac{xz}{y} =y\\\\=>\frac{x^{3}z^{3} }{y^{3} }=y^{3}[/tex](1)

with (1), we have:

[tex]x^{2}y^{2}z^{2}(\frac{1}{x^{3} }+\frac{1}{y^{3} }+\frac{1}{z^{3} })\\\\= (xyz)^{2}(\frac{1}{x^{3} } +\frac{y^{3} }{x^{3}z^{3} }+\frac{1}{z^{3} })\\\\=(xyz)^{2} (\frac{x^{3}+y^{3}+z^{3} }{x^{3}z^{3}} )\\\\=y^{2}.\frac{x^{3}+y^{3}+z^{3} }{xz} \\\\= xz.\frac{x^{3}+y^{3}+z^{3} }{xz} \\\\=x^{3}+y^{3}+z^{3}[/tex]

Step-by-step explanation:

Answer:

It is the second graph.

Step-by-step explanation:

Answer:

I think the answer is B

Step-by-step explanation:

Thank you

Answer:

Electricity bill is 175

Step-by-step explanation:

Given

[tex]Rent = 1800[/tex]

[tex]Gas = 150[/tex]

[tex]Each\ Roommate = 425[/tex] monthly

[tex]Number\ of\ Roommate = 5[/tex]

Required

Determine the electricity bill

If each roommate pays 425, then 5 roommates pay 5 * 425

[tex]Total = 5 * 425[/tex]

[tex]Total = 2125[/tex]

This implies that: the monthly cost of room, gas and electricity add up to 2125.

In other words,

[tex]Gas + Rent + Electricity = 2125[/tex]

[tex]150 + 1800+ Electricity = 2125[/tex]

[tex]1950+ Electricity = 2125[/tex]

[tex]Electricity = 2125 - 1950[/tex]

[tex]Electricity = 175[/tex]

Hence, the electricity bill is 175

Answer:

12.4 feet per second

Step-by-step explanation:

Answer and Step-by-step explanation:

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1. Let's write out the equation to subtract.

7t - 2u - 3v - (t - 3v)

Distribute the negative to the t and -3v.

7t - 2u - 3v - t + 3v         (The negatives cancel out)

Now simplify by combining like terms.

6t - 2u

This is the answer because the 3v and -3v cancel out.

2. I don't really understand what this is saying. Is there answer choices for this? But what I think its saying is that the lift has a constant of 2.

3. To find out the amount of terms, we would simplify the equation.

2x + 3y - 5x + yz - x

-4x  + 3y + yx

Here, we can see that we have 3 terms in this expression.

-4x is the first term, +3y is the second term, and +yx is the third term.

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#teamtrees #WAP (Water And Plant)

Answer:

FV= $3,725.07

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,294

Number of periods (n)= 5 years

Interest rate (i)= 2.6% = 0.026

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1+i)^n

FV= 3,294*(1.026^5)

FV= $3,725.07

Answer:

Part 1: y=2x-12

Part 2: 12=2x-y

Step-by-step explanation:

Given Information:

m (slope) = 2

There is a point: (5, -2)

PART 1

Solution: Use the formula:  [tex]y=m(x-x_{1} )+y_{1}[/tex]

y=2(x-(5))+(-2)

y=2x-10-2

y=2x-12

PART 2

y=2x-12         (from part 1)

0=2x-y-12      

12=2x-y

Answer:

En la tienda hay 123 impresoras Epson, 82 impresoras HP y 41 impresoras Cannon.

Step-by-step explanation:

Para determinar el número de impresoras de cada marca, se deben plantear las siguientes ecuaciones:

E + HP = 5 x C

E = 3 x C

C + HP = 123

Así, teniendo en cuenta estas ecuaciones y los valores de cada marca dentro del stock de la tienda, se puede plantear la siguiente equivalencia:

Si E = 3C y E + HP = 5C, entonces HP = 2C, ya que 5C - 3C = 2C.

Entonces, las equivalencias son las siguientes:

E = 3C

HP = 2C

Si C + HP = 123, podríamos decir que 3C = 123. Por ello, dado que 123 / 3 es igual a 41, el número de impresoras Cannon asciende a 41 unidades.

A su vez, el número de impresoras HP es de 82 unidades (41 x 2), mientras que el número de impresoras Epson asciende a 123 unidades (41 x 3).

Answer:

Your answer is: ↓

If your converting in Logarithmic Form then your answer is: [tex]log_{i}(-1)=2[/tex]

If you are trying to figure if that equation is determined T/F: The answer is T.

If you are trying to evaluate (expand) the question your answer is:[tex]-1=-1[/tex]

Step-by-step explanation:

Hope this helped : )

Answer:

23.27 - 5. 3 = 17.97

Step-by-step explanation:

Answer:

hgnbgnbgn

Step-by-step explanation:gnhgbnghnb

Answer:

4.5

Step-by-step explanation:

Answer:

1.9

Step-by-step explanation:

1 3/5 is the same as 1.6. So, which ones bigger? 1.9.

Answer:

The p-value is less than the alpha (the level of significance) reject the null hypothesis. There is sufficient evidence at the α = 0.1 level of significance to conclude that μ>49.

Step-by-step explanation:

Answer:

it means when x =0

so 6*0+12y=60

12y=60

y=5

Step-by-step explanation:

Answer:

In y intercept x = 0

so,we replace 0 in place of x

Step-by-step explanation:

6*0+12y=60

0+12y=60

y=60/12

y=5

Answer:

24x+18y+10

Step-by-step explanation:

start by distributing so 6*4x and 6*3y

that give you 24x+18y+10

Answer:

C

Step-by-step explanation:

well if you multiply each of tjem you would only sabe money on c the other choices would cause you to lose money so its c