A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1637 mailboxes
this week. If each mailbox has dimensions as shown in the figure below, how many square meters of aluminum will be needed to
make these mailboxes? In your calculations, use the value 3.14 for 1t, and round up your answer to the next square meter.

The value of the random variable x0 such that P (x > x0) = 0.025 is approximately 55.88.

To find the value of x0 such that P(x > x0) = 0.025, we need to use the standard normal distribution table or a calculator to find the corresponding z-score.

First, we need to standardize x using the formula:

z = (x - µ) / σ

where µ = 50 and σ = 3.

So,

z = (x - 50) / 3

Now, we want to find the z-score that corresponds to a probability of 0.025 in the right tail of the standard normal distribution. From the standard normal distribution table, we can see that the z-score for this probability is approximately 1.96.

Therefore,

1.96 = (x0 - 50) / 3

Multiplying both sides by 3, we get:

x0 - 50 = 1.96 * 3

x0 - 50 = 5.88

Adding 50 to both sides, we get:

x0 = 55.88

So, the value of the random variable x0 such that P(x > x0) = 0.025 is approximately 55.88.

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Answer:

34 km/h

Step-by-step explanation:

speed = distance/time

Distance = 17km

Time = 0.5 or 1/2 hours because it's 30 minutes between 17:15 to 17:45, and 30 minutes is a half of an hour and you want km over hours

So

speed = 17/0.5

speed = 34 km/h

The coordinates along the directed line segment is (37/7, 11/7)

The points are given as:

A  = (3, -3)

B = (7, 5)

The ratio on the segment can be represented as;

m : n = 4 : 3

So, we have the coordinates of the point that lies along the directed line segment to be

Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have:

Point  = 1/(4 + 3) * (4 * 7 + 3 * 3, 4 * 5 + 3 * -3)

Evaluate

Point  = 1/7 * (37, 11)

Evaluate the products

Point  = (37/7, 11/7)

Hence, the coordinates of the point is (37/7, 11/7)

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Answer:

Step-by-step explanation:

3. Given

4. triangle xwv    SAS

5.  cpctc

Step-by-step explanation:

-√81=-√(9)²=-9

A number inside a Square root cannot ne negative. So, the second one is not a real no.

Answer:

\( - \sqrt{81} = - 9 \\ \sqrt{ - 25 = - 5} \)

Step-by-step explanation:

-81/9 9+9+9+9+9+9+9+9+9(81)

-9

-25/5 (5+5+5+5+5(25)

-5

Answer:

I believe the answer is y=4x+4

Step-by-step explanation:

because the 4 that is on the  Y axis is the Y axis

and the 4 on the x axis will be the one with the variable

Hopefully this helps.

Answer:

189$

Step-by-step explanation:

30% of 270 = 81

270-81=189

Answer:

The sale price is $189.

Step-by-step explanation:

Rule:

To find the percent of a number, change the percent to a decimal by moving the decimal point of the percent two places left. Then multiply it by the number.

Example:

Find 20% of 200.

Change the percent, 20, to a decimal by moving the decimal point of 20 two places left.

20% = 0.20

Now multiply 0.20 by 200.

0.20 × 200 = 40

Answer to the example: 20% of 200 is 40

Here is the solution to your problem:

The suit has a regular price of $270.

The percent off is 30%.

First, we find the dollar amount of the discount.

30% of $270 = 0.30 × $270 = $81

The dollar mount of the discount is $81.

Now we subtract the dollar amount of the discount from the original price of $270.

$270 - $81 = $189

Answer: The sale price is $189.

Answer:

(-1, 3)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

f(x) - g(x)

= \(\sqrt{x}\) - x - (2x³ - \(\sqrt{x}\) - x) ← distribute parenthesis by - 1

= \(\sqrt{x}\) - x - 2x³ + \(\sqrt{x}\) + x ← collect like terms

= - 2x³ + 2\(\sqrt{x}\)

The percent error on Terry's reading is 8.3%

If there is something with a real measure of M, and you perform a measure that gives the value M', then the percent error on your measure is:

P = 100%*|M - M'|/M

In this case, the real measure is 36.0 and Terry's measure is 33.0 (I don't know the units, these are volumes).

So we have:

M = 36.0

M' = 33.0

Then we can use the formula for the percent error to get:

P = 100%*|36.0 - 33.0|/36.0 = 8.3%

We can see that the percent error in Terry's measure is 8.3%

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Answer:

c

Step-by-step explanation:

90+62= 152

180-152= 28

Answer:  (i) 1/221     (ii) 11/221      (iii) 95/663        (iv) 1/663

Step-by-step explanation:

(i) A deck of cards contains 4 Kings out of 52 total cards

1st draw: 4 Kings out of 52 total cards → 4/52 = 1/13

2nd draw: 3 remaining Kings out of 51 total remaining cards  →  3/51 = 1/17

  1st Draw                   2nd Draw                  Outcome         Probability

 King: P(K) = 1/13        King: P(K₂/K₁) = 1/17     King, King       (1/13) x (1/17) = 1/221

*************************************************************************************************

(ii) A deck of cards contains 4 Jacks, 4 Queens, & 4 Kings out of 52 total cards

1st draw: 12 Face cards out of 52 total cards → 12/52 = 3/13

2nd draw: 11 remaining Face cards out of 51 total remaining cards  →  11/51

1st Draw                 2nd Draw                  Outcome       Probability

 Face: P(F) = 3/13    Face: P(F₂/F₁) = 11/51   Face,Face     (3/13) x (11/51) = 11/221

*************************************************************************************************

(iiI) A deck of cards contains 26 black cards out of 52 total cards but there are 2 black Jacks, 2 black Queens, and 2 black Kings.

1st draw: 20 Black (not Face) cards out of 52 total cards → 20/52 = 5/13

2nd draw: 19 remaining Black (not Face) cards out of 51 total remaining cards  →  19/51

  1st Draw                 2nd Draw                       Outcome   Probability

Black: P(B~) = 5/13   Black: P(B~₂/B~₁) = 19/51    B~,B~    (5/13) x (19/51) = 95/663

*************************************************************************************************

(ii) A deck of cards contains 4 Aces out of 52 total cards

1st draw: 4 Aces out of 52 total cards → 4/52 = 1/13

2nd draw: 1 Queen of Hearts out of 51 total remaining cards  →  1/51

  1st Draw                 2nd Draw                   Outcome         Probability

 Ace: P(A) = 1/13      Qh: P(Qh₂/A₁) = 1/51   Ace,Queen(h)   (1/13) x (1/51) = 1/663

Roads that are well-maintained, dry, and free from hazards are generally less likely to result in traction loss.

The likelihood of losing traction depends on various factors such as road conditions, weather, vehicle type, and driver behavior. However, in general, roads that are well-maintained, dry, and free from debris or hazards are less likely to result in traction loss. Additionally, roads with good grip surfaces, such as asphalt or concrete, tend to provide better traction compared to unpaved or slippery surfaces. It's important to drive cautiously and adapt to the specific conditions of the road to minimize the risk of losing traction.

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sec(C) = (1 + ✓(x² + 1))/x, if the terminal point determined by t is in Quadrant II.

We need to write sec(t) in terms of tan(t).In Quadrant II, x is negative and y is positive.

We need to find the value of sec(C) - ✓ tan²t+1/x.To find the value of sec(t) in terms of tan(t), we need to use the identity sec²(t) = 1 + tan²(t)

Squaring the identity above, we get

sec²(t) = 1 + tan²(t)⟹ sec²(t) - tan²(t) = 1⟹ sec²(t) = 1 + tan²(t) (since sec(t) > 0 in QII)⟹ sec(t) = √(1 + tan²(t))

Now, we need to write sec(t) in terms of tan(t), we have;

sec(t) = √(1 + tan²(t))sec²(C) - ✓ tan²(t) + 1/x = sec²(C) - tan²(t) + 1/xsec²(C) - tan²(t) = sec(t)² - tan²(t) = (1 + tan²(t)) - tan²(t) = 1

Therefore,

sec(C) - ✓ tan²(t) + 1/x = 1 + 1/xsec(C) = 1/x + ✓ tan²(t) + 1/x = (1 + ✓(x² + 1))/x

Hence, sec(C) = (1 + ✓(x² + 1))/x, if the terminal point determined by t is in Quadrant II.

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Answer:

a group of 4 people can be selected in 35 ways

Answer:

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto.

Step-by-splanation:

Answer:

hey

Step-by-step explanation:

so i dont know

how to solve this and i cant help u

Solution a needed 70 ounces and solution b needed 50 ounces

What does "1 ounce" mean?

One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.

One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.

So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:

50% * x + 20% * (100-x) = 41% * 100

Dropping the ‘%’ we get

50x + 2000 - 20x = 4100

30x = 2100

x = 2100/30 = 70

Hence 70 ounces will be needed

Solution a = 70 ounces

Solution b = 50 ounces

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Answer:

5/8 or 0.625

I hope this helped!

Answer:

Step-by-step explanation:

Since this is a test/homework I'll give a hint.

For a linear equation, you have no idea what x and y is, but thats ok! The test itself has already given you 4 options, so you can just input the x/y coordinates, and if they fit, good for you! If they don't, you may need to try again. There are other more complex and faster ways, but they are (a) more complex.

Hope this helps!

The height of the white board rounded to the nearest whole numberis 33 inches.

Given that, the aspect ratio of a white board is 16:9.

If the width of the white board is 58in, height = ?

To find the height of the white board, we need to use the aspect ratio formula which is expresses as:

Aspect ratio = width / height

We are given the aspect ratio as 16:9 and the width as 58 inches, so we can set up the following equation:

16/9 = 58 / h

Where h is the height we want to find.

To solve for h, we can cross-multiply and simplify:

16h = 9 × 58

16h = 522

Divide both sides by 16

16h/16 = 522/16

h = 522/16

h ≈ 32.63

Rounded to the nearest whole number, the height h = 33 inches.

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Answer:

3 3/4

Step-by-step explanation:Divide the numerator by the denominator.

15

÷

4

=

3

, with 3 as remainder

The quotient is the whole number part of the mixed fraction. The remainder is the numerator of the fractional part. The denominator stays.

So, here 3 is the quotient, 3 is the remainder after division and 4 is the denominator.

⇒

15

4

=

3

3

4

Let x be the dilation factor, then we can write

If we move 28 to the right hand side, we get

therefore, the answer is option D

Answer:

51

Step-by-step explanation:

The mean is the average.

23+79+81+10+62 = 255

255/5 = 51

Answer: 1. The additive inverse of a number is what you can add to that number for the sum to be zero. For real numbers, such as rational numbers, that means the additive inverse can be found by just flipping the sign of the number. The additive inverse property says if you add a number and its additive inverse, then the sum is zero.

For example, let's use the number 3. The additive inverse of 3 is -3, since 3 + (-3) = 0. This is also true the other way around. The additive inverse of -3 is 3.

When subtracting rational numbers, remember that subtracting is the same as adding a negative! That means 3 - 3 is the same as 3 + (-3) or -3 - (-3) is the same as -3 + 3. Both of these sums involve a number and its additive inverse and they add up to zero.

Answer:

B

Step-by-step explanation:

Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator

Answer:

B. Rational number

Step-by-step explanation:

Answer: 7%

(Hope this is right.)

Step-by-step explanation:

Let's solve this using the information we have and an equation.

Shane: $32,000 - (Given)

Theresa: 18,000+14x, if x=1,160 - (Given)

---------------------------------------------------------------

Step two: (Theresa) 14(1,160) =16,240 (Algebra)

Step three: (Theresa) 18,000+16,240=34,240 (Algebra, given.) - cost of Theresa's car.

---------------------------------------------------------------

Finally,

They're asking for how much more she paid for her car as a percentage of what Shane paid.

34,240-32,000=2,240 and

2,240/32,000=0.07

0.07x100=7

Answer 7% more than what Shane paid.

Answer: x = 1

Step-by-step explanation: 4(1-x) = 6(x-1)

 -  4-4x = 6x-6

 -  6x-4x = 6-4

 -  2x = 2

 - x= 1