Mr. G wants to cut boards that are 1 1/2 foot long. If he has an 18 foot long board, how man pieces can he cut?

Answer:

5f=18

5f/5f=18/5f

f=3 2/5

Answer:

0.00084

Step-by-step explanation:

We are given that

Mean,[tex]\mu=2400[/tex] square feet

Standard deviation, [tex]\sigma=450[/tex]square feet

n=50

We have to find the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet.

[tex]P(x<2200)=P(\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}<P(\frac{2200-2400}{\frac{450}{\sqrt{50}}})[/tex]

[tex]P(x<2200)=P(Z<\frac{-200}{\frac{450}{\sqrt{50}}})[/tex]

Using the formula

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

[tex]P(x<2200)=P(Z<-3.14)[/tex]

[tex]P(X<2200)=0.00084[/tex]

Hence, the probability that a random sample of 50 homes in Anytown, USA has mean square footage less than 2200 square feet=0.00084

Answer:

Following are the solution to the given question:

Step-by-step explanation:

In this the hypothesis is:

[tex]H_{0}:\mu=10\\\\H_{1}:\mu\neq10[/tex]

The bankers assert that their bank's average maturity was distinct from that of ten years, that's why the hypothesis of the alternative.

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Answer:

  $562,500 per hour

Step-by-step explanation:

The cost will be a minimum where C'(x) = 0.

 C'(x) = 0.56x -0.7 = 0

  x = 0.7/0.56 = 1.25

The cost at that production point is ...

  C(1.25) = (0.28×1.25 -0.7)1.25 +1 = -0.35×1.25 +1 = 0.5625

The minimum production cost is $562,500 per hour for production of 1250 items per hour.

_____

Additional comment

This is different than the minimum cost per item. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.

Answer:

? what is this question asking

Step-by-step explanation:

Answer:

= 3b/4

Step-by-step explanation:

= b . 4/12 + b . 3/12 + b . 2/12

Apply the fraction rule: a/c + b/c = a + b/c

= b . 4 + b . 3 + b . 2/12

= 4b + 3b + 2b/12

Add similar elements: 4b + 3b + 2b = 9b

= 9b/12

Cancel 9b/12: 3b/4

= 3b/4

Answer:

Hence, we reject H_0 as There  is sufficient evidence to show that population variance is not 23

Step-by-step explanation:

From the question we are told that:

Sample size [tex]n=30[/tex]

Variance [tex]\sigma= 16.8[/tex]

Significance Level [tex]\alpha=0.05[/tex]

[tex]\sigma = 23[/tex]

Genet=rally the Hypothesis are as follows

Null [tex]H_0=\sigma^2=23[/tex]

Alternative [tex]H_a=\sigma^2 \neq 23[/tex]

Generally the equation for Chi distribution t is mathematically given by

t test statistics

[tex]X^2=\frac{(n-1)\sigma}{\sigma^2}[/tex]

[tex]X^2=\frac{(30-1)16.8^2}{23}[/tex]

[tex]X^2=355.86[/tex]

Therefore

Critical Value

[tex]P_{\alpha,df}[/tex]

Where

[tex]df=29[/tex]

[tex]P_{\alpha,df}=16.0471 and 45.7223[/tex]

[tex]X^2=45.7223[/tex]

Hence, we reject H_0 as There  is sufficient evidence to show that population variance is not 23

Answer:

umm is it a quadrilateral

Step-by-step explanation:

Answer:

if it's 8cm, 3m, 4cm, 5cm, and 9cm it's probably a quadrilateral

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Answer:

  [tex](S)\cdot(H)\cdot(E)\cdot(e)\cdot(\theta)\cdot(\epsilon+1+1)\cdot(\xi)\cdot(s)\cdot(h)[/tex]

Step-by-step explanation:

The inverse function of fun(x) is indicated using a -1 exponent. That is ...

  [tex]\text{fun}(\text{fun}^{-1}(x)) = x\\\text{fun}^{-1}(\text{fun}(x)) = x[/tex]

The usual trig identities apply:

  sin²(x) +cos²(x) = 1

  sec²(x) -tan²(x) = 1

  sin(x) = 1/csc(x)

__

So, the expression simplifies to ...

  [tex](S)\cdot(H)\cdot(E)\cdot(e)\cdot(\theta)\cdot(\epsilon+1+1)\cdot(\xi)\cdot(s)\cdot(h)[/tex]

Answer:

4*12*2

Step-by-step explanation:

it will be the right answer

Answer:

There are 6 boys in group.

Step-by-step explanation:

Since we have given that

Number of arrangement of 4 boys = 12 times the number of arrangement of 2 boys.

So, Let the number of boys in the group be 'x'.

So, Number of boys in the group will be

\begin{gathered}x=\frac{12\times 2}{4}\\\\x=\frac{24}{4}\\\\x=6\end{gathered}

x=

4

12×2

x=

4

24

x=6

Hence, there are 6 boys in the group.

hope it helps you a follow would be appreciated

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Answer:

  33.3%

Step-by-step explanation:

The selling price of £42 is (1 +40%) times the total purchase price.

  1.40 × purchase price = £42

  purchase price = £42/1.40 = £30

The total profit is 40% of this, so is ...

  £30 × 40% = £12

The purchase price of the skirt is ...

  total cost - glove cost = skirt cost = £30 -3 = £27

The profit on the skirt is ...

  total profit - glove profit = skirt profit = £12 -100% × £3 = £9

Then the percentage profit on the skirt is ...

  skirt profit % = skirt profit / skirt cost × 100% = £9/£27 × 100% = 33.3%

The percentage profit on the cost of the skirt was 33.3%.

Answer:

B

Step-by-step explanation:

The shortest side of a triangle is opposite the smallest angle

The longest side of a triangle is opposite the largest angle

Answer:

The variance is direct.

Step-by-step explanation:

Since size of the pizza determines the amount of calories.

Let us say that a 2" x4" strip of pizza has 250 calories.

Then a pizza of twice the size (or 4" x 4") will have twice as many calories (500 calories) .

No because 5^2 +10^2 is not equavalent to 13^2

by using the pythagoras' theorem

Answer:

n = 16

Step-by-step explanation:

Givem that :

Population Standard deviation , σ = 16

Sample size, n =

Standard Error, S. E = 4

To obtain the standard Error, S. E, we use the relation :

S.E = σ / √n

4 = 16 / √n

√n * 4 = 16

Divide both sides by 4

(√n * 4) / 4 = 16 / 4

√n = 4

Square both sides

n = 4²

n = 16

Hence, Sample size = 16

Answer:

The car will depreciate at a rate of 21.14% per year.

Step-by-step explanation:

Given that the value of a car will “depreciate” over time, and, for example, a car that was worth $ 24,000 when it was new, is being sold for $ 13,500 three years later, to determine the annual depreciation rate on this car the following calculation must be performed:

13,500 x (1 + X) ^ 1x3 = 24,000

13,500 x (1 + 0.2114) ^ 3 = 24,000

X = 21.14%

Therefore, the car will depreciate at a rate of 21.14% per year.

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Answer:

  linear

Step-by-step explanation:

The points all lie on a straight line. The relationship is linear.

Answer:

d=10.45t

Step-by-step explanation:

The last one is the answer.

Hope this helps!

--Applepi101

Answer:

D) d=10.45t

Step-by-step explanation:

His distance(d) was 100. And his time(t) was 9.58 seconds.

So 100=9.58x

x≈10.44

The answer is D, because 10.45 is greater than 10.44.

I hope this helps!

Answer:

a) The property has 17.3 acres.

b) The price per acre is of $8,670.5.

Step-by-step explanation:

The questions are solved by proportions, using a rule of three.

a. How large is the property in​ acres?

Each hectare has 2.47105 acres.

So 7 hectares will have:

7*2.47105 = 17.3.

The property has 17.3 acres.

b. If the property is selling for $150,000​, what is the price per​ acre?

17.3 acres for $150,000. So

150000/17.3 = $8,670.5.

The price per acre is of $8,670.5.

Answer:

(a) 129600 J

(b) 81000 J

Step-by-step explanation:

The work done is given by the product of force and the displacement in the direction of force.

Force, F = 500 N

distance, d = 324 m

(a) friction force, f = 100 N

The work done is

W = (F - f) x d

W = (500 - 100) x 324

W = 129600 J

(b) Friction, f = 250 N

The work done is

W = (F - f) d

W = (500 - 250) x 324

W = 81000 J

Answer:

x = 105/16

Step-by-step explanation:

2/3x - 1 = 27/8

Add 1 to each side

2/3x - 1+1 = 27/8+1

2/3x = 27/8 + 8/8

2/3x = 35/8

Multiply each side by 3/2

3/2 * 2/3x = 35/8 *3/2

x = 105/16

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Answer:

Step-by-step explanation:

For interest compounded in discrete intervals, the formula is ...

  A = P(1 +r/n)^(nt)

We want to find t for P=1 and A=2, so we have ...

  2 = (1 +r/n)^(nt)

  ln(2) = nt·ln(1+r/n)

  t = ln(2)/(n·ln(1+r/n))

A table of values for r=0.08 is attached.

__

For continuous compounding, the formula is ...

  A = Pe^(rt)

  t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years

__

Answer:

22.375" × 34" is the bigger size for a poster

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Answer:

  3

Step-by-step explanation:

AB is 1 unit long.

A'B' is 3 units long.

The scale factor is the ratio of these lengths:

  scale factor = A'B'/AB = 3/1 = 3

ABC is dilated by a factor of 3 to get A'B'C'.

Answer:

downwards

Step-by-step explanation:

Given the quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 )

• If a > 0 then the graph opens upwards

• If a < 0 then the graph opens downwards

Answer:

[tex]\displaystyle \frac{d}{dx}[x^2] = 2x[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = x^2[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

96

Step-by-step explanation:

COMBINATIONS & PERMUTATIONS can be confusing but they always have a solution.

Key 1:  Understand and/or rewrite the question

Consider the lists of 6 items (out of the 5 letters P,R,O,F, and S; where O is used twice).

NOTE: When they say O is used more than once, don't forget that each list must not exceed 6 items in total. So, O is used twice. Simple!

How many such lists can be made if each list must end in an S?

NOTE: This instruction requires that S doesn't move. It won't change position, and it won't be involved in the rearrangement!

Key 2:  Solve the mysteries

Now, S won't move and O is doubled. These rules put a form of restriction on the "n" which is the total number of items involved in the operation. We are supposed to create lists of 6 items but the reality is - only 5 are moving. Recall also that the original number of items involved in the operation is 5.

In this case, n = 5

Then we have 4 items rotating - P, R, O and F - with 1 repeated.

What this means is that for every list starting with the first O, the different arrangements apply to the second O as well.

There is no distinction such as O₁ and O₂. O is O!

Let k = the extra O

(n - k)  =  5 - 1  = 4

So each of these 4 letters has 4! (4 factorial) arrangements, that is (4 x 3 x 2 x 1) = 24 arrangements

Multiply 24 by 4 to get 96