Stephanie spent $110 on 1.7 pounds of coffee. she wants to know how much each pound costs. how would she find out how much each pound costs? write equation and explain how you got that answer.​

Answer:

Step-by-step explanation:

Let X denote the dimension of the part after grinding

X has normal distribution with standard deviation [tex]\sigma=0.002 in[/tex]

Let the mean of X be denoted by [tex]\mu[/tex]

there is an upper specification of 3.150 in. on a dimension of a certain part after grinding.

We desire to have no more than 3% of the parts fail to meet specifications.

We have to find the maximum [tex]\mu[/tex] such that can be used if this 3% requirement is to be meet

[tex]\Rightarrow P(\frac{X- \mu}{\sigma} <\frac{3.15- \mu}{\sigma} )\leq 0.03\\\\ \Rightarrow P(Z <\frac{3.15- \mu}{\sigma} )\leq 0.03\\\\ \Rightarrow P(Z <\frac{3.15- \mu}{0.002} )\leq 0.03[/tex]

We know from the Standard normal tables that

[tex]P(Z\leq -1.87)=0.0307\\\\P(Z\leq -1.88)=0.0300\\\\P(Z\leq -1.89)=0.0293[/tex]

So, the value of Z consistent with the required condition is approximately -1.88

Thus we have

[tex]\frac{3.15- \mu}{0.002} =-1.88\\\\\Rrightarrow \mu =1.88\times0.002+3.15\\\\=3.15[/tex]

Answer:

1.5 hr and 3.5 hr

Step-by-step explanation:

Time in the first part= x

Time in the second part= 5 - x

Answer:

$294

Step-by-step explanation:

First do 47-5=42

Next do 42x7=294

so the total is 294

Answer:

c. there is a probability of one error for every 100,000 bits transmitted

Step-by-step explanation:

What does a BER of 10-5 mean?

a. there will be no errors during transmission since the BER is so low b. does not mean anything unless associated with a transmission data rate (bit rate) c. there is a probability of one error for every 100,000 bits transmitted d. None of the above

BER is an abbreviation for bit error rate.

BER is the percentage of bits with errors divided by the total number of bits that have been transmitted, received or processed over a given time period.

The rate is typically expressed as 10 to the negative power.

BER is the digital equivalent to signal-to-noise ratio in an analog system.

In this case [tex]10^{-5}[/tex]  is the same as writing [tex]1 \times10^{-5}[/tex]  which means there is a probability of 1 error for every 100,000 bits transmitted.

Answer:

undefined

Step-by-step explanation:

y = -8 is a horizontal line with a slope of zero

A line that is perpendicular is a vertical line, which has a slope of undefined

Answer:

is 3

Step-by-step explanation:

because to find the area for a ractangle you have to multiply LxW and 12x3=36

Answer:

The break-even point is when x is equal to 3.75

Step-by-step explanation:

At the break-even point, total cost function is equal to the total revenue function. In that regard, break-even is when;

C = 12x + 30 is equal to R = 20x.

thus, 12x + 30 = 20x

then, 12x - 12x + 30 = 20x - 12x

therefore, 30 = 8x

then, 30/8 = 8x/8

finally, x = 15/4 or 3.75

A stuffed animal business has a total cost of production C=12x+30 and a revenue function R=20x, the Break even point is (3.75,75)

Given :

A stuffed animal business has a total cost of production C=12x+30 and a revenue function R=20x.

Break even point occurs when revenue = cost

R=C

Replace the expression and solve for x

[tex]R=C\\20x=12x+30\\20x-12x=30\\8x=30\\divide \; by \; 8\\x=\frac{15}{4}\\x=3.75[/tex]

Now we find out y using Revenue

[tex]R= 20x\\R=20(3.75)\\R=75[/tex]

So y is 75

Break even point is (3.75,75)

Learn more : brainly.com/question/15281855

Answer:

£472.92

Step-by-step explanation:

£2100(0.78)^6

Answer:

The correct answer to the following question will be "5040".

Step-by-step explanation:

Given:

The number of directors,

n = 10

and they select on 4 peoples, then

Number of ways will be:

⇒  [tex]10_{P}_{4}[/tex]

⇒  [tex]\frac{10!}{10-4!}[/tex]

⇒  [tex]\frac{10!}{6!}[/tex]

⇒  [tex]\frac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1!}{6\times 5\times 4\times 3\times 2\times 1!}[/tex]

⇒  [tex]5040[/tex]

Answer:

Answer D is correct

Answer:

59/34

Step-by-step explanation:

5x+2y=7

-2x+6y=9

Multiply the top equation by 3:

15x+6y=21

Subtract the second equation from the first:

17x=12

x=12/17

Plug this back into one of the other equations to find y:

5(12/17)+2y=7

60/17+2y=7

2y=59/17

y=59/34

Hope this helps!

To get this we divide the total miles she ran for the weeks by the no of weeks she ran.

Total miles =5.5 +7.25+10= 22.25 miles altogether.

no of weeks =3.

Average miles = 22.75 /3=7.583333≅7.58(nearest hundredth)

Answer:

Step-by-step explanation:

The general form representing limit of a function is expressed as shown below;

[tex]\lim_{h \to a} f(h)[/tex] where a is the value that h will take and use in the function f(h). It can be expressed in words as limit of function f as h tends to a. Comparing the genaral form of the limit to the limit given in question [tex]\lim_{h \to 0} \frac{\sqrt{9+h} - 3}{h}[/tex], it can be seen that a = 0 and f(h) = [tex]\frac{\sqrt{9+h} - 3}{h}[/tex]

Taking the limit of the function

[tex]\lim_{h \to 0} \frac{\sqrt{9+h} -3}{h}\\= \frac{\sqrt{9+0}-3 }{0}\\= \frac{0}{0}(indeterminate)[/tex]

Applying l'hopital rule

[tex]\lim_{h \to 0} \frac{\frac{d}{dh} (\sqrt{9+h} - 3)} {\frac{d}{dh} (h)}\\= \lim_{h \to 0} \frac{1}{2} (9+h)^{-1/2} /1\\=\frac{1}{2} (9+0)^{-1/2}\\= \frac{1}{2} * \frac{1}{\sqrt{9} } \\= 1/2 * 1/3\\= 1/6[/tex]

Answer:

66.67%

Step-by-step explanation:

They do not say that I estimate a value of 350 chips but in reality there were 210 chips in total, we have that the error formula is:

Percentage error (%) = (estimated value - actual value) / actual value × 100 (in absolute value)

replacing:

Percentage error (%) = | 350 - 210 | / 210 × 100

Percentage error (%) = 140/210 * 100

Percentage error (%) = 66.67

Which means that the percentage error is 66.67%

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex]

Perpendicular lines have slopes that are negative reciprocals.

We're given:

1) Determine the slope

Let's first rearrange this equation into slope-intercept form:

[tex]4x-5y=-10\\-5y=-4x-10\\\\y=\dfrac{4}{5}x+2[/tex]

Notice how [tex]\dfrac{4}{5}[/tex] is in the place of m in y = mx + b. This is the slope of the give line.

Since perpendicular lines are negative reciprocals, we know the slope of the other line is [tex]-\dfrac{5}{4}[/tex]. Plug this into y = mx + b:

[tex]y=-\dfrac{5}{4}x+b[/tex]

2) Determine the y-intercept

We're also given that the line passes through (6,3). Plug this point into our equation and solve for b:

[tex]y=-\dfrac{5}{4}x+b\\\\3=-\dfrac{5}{4}(6)+b\\\\b=3+\dfrac{5}{4}(6)\\\\b=\dfrac{21}{2}[/tex]

Plug this back into our original equation:

[tex]y=-\dfrac{5}{4}x+\dfrac{21}{2}[/tex]

[tex]y=-\dfrac{5}{4}x+\dfrac{21}{2}[/tex]

Answer: c) ABCDA, $960

Step-by-step explanation:

The nearest Neighbor Algorithm states to choose the next vertex based only on the weights of the neighbor of that vertex.

Starting at A: Options are B = 220, C = 240, D = 310

Choose B because it has the smallest value.

From B: Options are C = 200, D = 210

Choose C because it has the smallest value.

From C: There is only one option --> D = 230 (we cannot choose A because it was our starting point and we haven't touched every vertex, yet).

From D: We touched all of the vertices so return to the starting point, A = 310

A → B → C → D → A --> 220 + 200 + 230 + 310 = 960

Notice that if we looked at the entire circuit first, this is NOT the optimum path. But this is the result using the Nearest Neighbor Algorithm.

Answer:

x=2

Step-by-step explanation:

We know that

f(x)=2(x+10)

and

f(x)=24

Therefore, by substitution, we can set the 2 expressions equal to each other.

2(x+10)=24

Now, we need to solve for x. Perform the opposite of what is being done to the equation, and remember to perform everything to both sides.

2 and x+10 are being multiplied. The opposite of multiplication is division, so divide both sides by 2.

2(x+10)/2=24/2

x+10=24/2

x+10=12

10 is being added to x. The opposite of addition is subtraction. Subtract 10 from both sides.

x+10-10=12-10

x=12-20

x=2

Answer:

x=2

Step-by-step explanation:

....................................................

Answer:

5

Step-by-step explanation:

t(1) = [tex]1^{2} + 4 = 5[/tex]

Answer:

you could buy a pair of shoes and a belt still have 95 dollars to spend

Answer:

I think the answer is -15

Answer:

54 · 0.45

Step-by-step explanation:

This expression will give you 45% of 54, since 54 will be multiplied by the decimal equivalent to 45%

Answer:

0.45 · 54

Step-by-step explanation:

In math, 45% is equal to 0.45, because percents are out of a hundre. ’of’ is just another way of putting a multiplicative sign, so it would be 0.45 · 54

Answer: 42) 2, 3       43) 144

Step-by-step explanation:

42)

1. n(P) = 8 + 5 = 13 (not 8)                           This statement is False.

2. n(Q but not P) = 9                                   This statement is True!

3. n(neither P nor Q) = 2                             This statement is True!

4. n(Q') --> (n (not Q) = 8 + 2 = 10 (not 8)    This statement is False.

5. P ∪ Q = 8 + 9 - 5 = 12 (not 5)                   This statement is False.

43)

Fill in the Venn Diagram as follows (from left to right):

     M only = 55           --> 89 - (17 + 4 + 13) = 55

       M ∩ E = 17           --> 30 - 13 = 17

       E only =  5            --> 46 - (17 + 13 + 11) = 5

       B ∩ M =  4             --> 17 - 13 = 4

M ∩ E ∩ B = 13           --> given

        B ∩ E = 11             --> 24 - 13 = 11

      E only = 35           --> 63 - (13 + 4 + 11) = 35

(M ∪ E ∪ B)' = 4            --> given

         Total = 144

Answer:

8

Step-by-step explanation:

There are two series in one

and

Answer:

the volume of the box is increasing

dV = +310,000 ft^3/s

Step-by-step explanation:

Volume of a rectangular box with side a,b and c can be expressed as;

V = abc

The change in volume dV can be expressed as;

dV = d(abc)/da + d(abc)/db + d(abc)/dc

dV = bc.da + ac.db + ab.dc ......1

Given:

a= 150 feet,

b= 80 feet, and

c= 50 feet

ais increasing at 100 feet/sec,bis decreasing 20 feet/sec, andcisincreasing at 5 feet/sec

da = +100 feet/s

db = -20 feet/s

dc = +5 feet/s

Substituting the values into the equation 1;

dV = (80×50×+100) + (150×50×-20) + (150×80×+5)

dV = +400000 - 150000 + 60000 ft^3/s

dV = +310,000 ft^3/s

Since dV is positive, the volume of the box is increasing at that instant.

Answer:

The correct answer is I am 95% sure that this interval includes the population mean arm length.

Note: Kindly find an attached image or copy of the complete question to this solution below:

Sources: The complete question was researched from Quizlet and Course hero sites.

Step-by-step explanation:

Solution

From the given question, i will say that I am 95 % confident interval that this interval include the population mean arm length is correct because using sample mean and confidence level we can obtain an interval which gives us the certain level of confidence that population mean is within this interval and here we are 95% confident that population mean is within this interval.

Answer:

A

Step-by-step explanation:

[tex]3(x-1)+2= \\\\3((5)-1)+2= \\\\3(4)+2= \\\\ 12+2=\\\\14[/tex]

Hope this helps!

Answer:

[tex]14[/tex]

Step-by-step explanation:

[tex]3(x - 1) + 2[/tex]

[tex]x= 5[/tex]

[tex]3(5 - 1) + 2[/tex]

[tex]3(4) + 2[/tex]

[tex]12 + 2[/tex]

[tex]=14[/tex]

The number of houses are 180, and the number of flats are 100.

It is given that the number of houses and the number of flats ratio is 9:5 the number of flats and the number of bungalows ratio is 10:3.

It is required to find the number of houses in the village if the number of bungalows is 30.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The ratio of the number of houses and the number of flats:

= 9:5   and

The ratio of the number of flats and the number of bungalows :

=10:3

It means we can write the ratio of the number of houses and the number of flats = 18:10

And the ratio of the number of:

Houses : Flats : Bungalows = 18:10:3

But the number of bungalows are 30.

Then the ratios are:

180:100:30

Thus, the number of houses are 180, and the number of flats are 100.

Learn more about the fraction here:

brainly.com/question/1301963

Answer:

Step-by-step explanation:

  The recommended number of volunteers is five (5)

  Since the the distance of the race is 5km,

and the safety committees recommends 1 volunteer per kilometre.

Hence ten (10) volunteers is more than enough

Question:

A 5-card hand is dealt from a perfectly shuffled deck of playing cards.

What is the probability that the hand is a two of a kind?

A two of a kind has two cards of the same rank (called the pair). Among the remaining three cards, not in the pair, no two have the same rank and none of them have the same rank as the pair. For example, {4♠, 4♦, J♠, K♣, 8♥} is a two of a kind.

Answer:

P(two of a kind) = 42.3%

Step-by-step explanation:

The probability that the hand is a two of a kind is given by

P(two of a kind) = No. of ways to produce two of a kind/Total no. of ways to deal 5-hand cards

There are total 52 cards in a standard deck of playing cards.

Total number of ways to deal 5-card hand is given by

Total number of ways = ₅₂C₅

Total number of ways = 2595960

So there are 2595960 different ways of dealing 5-card hands

Now we will find out the number of ways to produce two of a kind.

The number of ways to select the rank of two matching cards is given by

Rank of matching cards = ₁₃C₁ = 13

Since the matching cards must be of same rank.

The number of ways to select the rank of remaining 3 cards is given by

Rank of remaining 3 cards = ₁₂C₃ = 220

Since the remaining ranks are now 12.

The number of ways to select the suits of two matching cards is given by

Suits of two matching cards = ₄C₂ = 6

The number of ways to select the suits of 1st non-matching card is given by

Suits of 1st non-matching card = ₄C₁ = 4

The number of ways to select the suits of 2nd non-matching card is given by

Suits of 2nd non-matching card = ₄C₁ = 4

The number of ways to select the suits of 3rd non-matching card is given by

Suits of 3rd non-matching card = ₄C₁ = 4

Finally, the probability is

P(two of a kind) = No. of ways to produce two of a kind/Total no. of ways to deal 5-hand cards

P(two of a kind) = (₁₃C₁ × ₁₂C₃ × ₄C₂ × ₄C₁ × ₄C₁ × ₄C₁) / ₅₂C₅

P(two of a kind) = (13 × 220 × 6 × 4 × 4 × 4) / 2595960

P(two of a kind) = 1098240/2595960

P(two of a kind) = 0.423

P(two of a kind) = 42.3%

Answer:

what

Step-by-step explanation: