An airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality represents the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit.

21.2 + w less-than-or-equal-to 30

How much weight can Lorrie add to the carry-on without going over the 30-pound limit?

The Hypotheses are; Null Hypothesis; H₀: μ = 76.4 and Alternative Hypothesis; Hₐ: μ > 76.4 where μ is the true mean height of all trucks.

We are given;

Population Mean; μ = 76.4 inches

Sample Mean; x' = 77.1 inches

Sample standard deviation; s = 5.2 inches

Sample size; n = 100 trucks

Now we can thus define the hypotheses as;

Null Hypothesis; H₀: μ = 76.4

Alternative Hypothesis; Hₐ: μ > 76.4

where μ is the true mean height of all trucks

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Answer:

a) 17.5%

b) $150,000

c) 27°

Step-by-step explanation:

Angles around a point add up to 360°.

Therefore, to find the percentage of the portion of the pie chart, divide the degree of the portion by 360° and multiply by 100%

Assuming that Real Estate is half of the circle, and Mutual Funds are a quarter of the circle.

a)  Government Bonds = (63° ÷ 360°) x 100% = 17.5%

b) Crypto Currency = 90° - 63° = 27°

Therefore, (27° ÷ 360°) x 100% = 7.5%

7.5% of $2,000,000 = 0.075 x $2,000,000 = $150,000

c) Crypto Currency = 90° - 63° = 27°

#a

Find percentage (whole is 360°)

#2

Angle of crypto=180-(90+63)=180-153=27°

Percentage:-

Total

#c

Found in second part

Answer: the opposite of 15

Step-by-step explanation:

Answer:

[tex]a_n=\frac{1}{8} (2^{n-1})[/tex]

Step-by-step explanation:

This is a geometric sequence.  You start with the first term, 1/8, then multiply it by 2 to get 1/4, then double that to get 1/2, etc.

The number you multiply by is called the common ratio.  In this case, the common ratio is 2.

A formula for the general (nth) term is:  [tex]a_n=a_1 r^{n-1}[/tex].

[tex]a_1=1/8\\r=2[/tex]

So the nth term is [tex]a_n=\frac{1}{8} (2^{n-1})[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's write the equation in standard form ~

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + {y}^{2} - 2y - 15 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x ){ }^{2} + {y}^{2} - 2y = 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x ){ }^{2} + {y}^{2} - 2y + 1 = 15 + 1[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x ){ }^{2} +( {y}^{} - 1 ) {}^{2} = 16[/tex]

Now, it's the required form of circle ~

Answer:

Step-by-step explanation:

The area of a parralelogram is B*H

Base is 20.2

Hight is 12

20.2*12=242.4

Perimeter is the sum of all sides

20.2*2+12*2=64.4

The polynomial that Amir subtracted from 3x² + 8x - 16 to get x² - 4 is: 2x² + 8x - 12.

To subtract polynomials from each other, take like terms together and subtract.

To find out what quantity Amir subtracted from 3x² + 8x - 16 to get x² - 4, do the following:

(3x² + 8x - 16) - (x² - 4)

Open bracket

3x² + 8x - 16 - x² + 4

Combine like terms

2x² + 8x - 12

Therefore, the polynomial that Amir subtracted from 3x² + 8x - 16 to get x² - 4 is: 2x² + 8x - 12.

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Answer:

[tex]{ \tt{12 \: months = 328}} \\ { \tt{(12 \times 15) = \frac{(15 \times 328)}{1} }} \\ \\ = { \tt{4920}}[/tex]

Answer:

2008=328

2024=?

Step-by-step explanation:

12×13 = 16×328/1

Answer: x=7, GA=MR=14

Step-by-step explanation:

The value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15.

We can use the fact that:

[tex]\sin(\theta ^\circ) = \cos(90 - \theta^\circ)[/tex]

to convert the sine to cosine (but the angles won't stay same unless its 45 degrees).

For this case, we're specified the equation sin(x+37)°=cos(2x+8)°.

Converting sine to cosine, we get:

[tex]\cos(90 - x - 37)^\circ = \cos(2x + 8)^\circ\\[/tex]

Since cosine is a periodic function with period of [tex]360^\circ[/tex], thus, we get:
[tex]90 - x - 37= 2x + 8 +360 n[/tex]

where n = an integer (positive, negative, or zero).

or

[tex]90 - 37 - 8= 3x + 360 n\\\\x = \dfrac{45 - 360n}{3} = 15 - 120n[/tex]

This is the general solution of the considered equation.

Assuming that only principal values (from 0 to 360 degrees) angles are allowed, we need:

[tex]0 \leq x + 37 \leq 360\\\\and\\\\0 \leq 2x+8 \leq 360[/tex]

The first inequality gives:

[tex]-37 \leq x \leq 323[/tex]

The second inequality gives:

[tex]-4 \leq x \leq 176[/tex]

We need to satisfy both the inequalities, so the final boundaries on x are:

[tex]-4 \leq x \leq 176[/tex] (the minimum ones for which both inequalities stay true).

n < -2 gives x > 255, and n > 1 gives x < -105

So, values of n for which [tex]-4 \leq x \leq 176[/tex] is true are n = -1, or n = 0

Thus, x = either 135 or 15

sin

Thus, the value of x which saisfies the equation sin(x+37)°=cos(2x+8)° is 135 or 15

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Step-by-step explanation:

a^2+b^2=c^2

3^2+9^2 not equal to 12^2

Answer:122/600= 0.20333333333

Step-by-step explanation:

Answer:

I am sorry but u didn't really ask any question to be answered so next time give a question to be answered

Answer:

434

Step-by-step explanation:

310 times .4 (percentage) = 124 which is how much she gained, then you add that onto the original amount to find how many she has now, which is 434

Answer:

Step-by-step explanation:

Hailey paid 80% of the regular price.

We have Hailey who paid 40$ for a jacket whose regular price was 50$.

Assume that she paid [x]% of the regular price.

Then, we can write -

40 = x% of 50

40 = (x/100) x 50

x = (4000/50)

x = 80%

Therefore, Hailey paid 80% of the regular price.

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Answer:

25a^2b^4c^2

Step-by-step explanation:

step 1:

Remove the bracket by multiplying all the power inside the bracket with the power outside the bracket.

5^2a^2b^2x2c^2=25a^2b^4c^2

Answer:

40 degrees

Step-by-step explanation:

(to find coterminal angles to a given angle, we add 360 degrees to the given angle or subject 360 degrees from the given angle any angle any number of time).

-1400 degrees is negative angl, so to get the coterminal angle between 0 degrees and 360 degrees ( the smallest positive coterminal angle), we must add multiples of 360 degrees until we get a possitive coterminal angle:

-1400 degrees+(360 degrees*4)

=-1400 degrees+1440

=40 degrees

so the answer is 40 degrees

Answer: what grade is this

Step-by-step explanation:

Answer: B

Step-by-step explanation:

When f(x) turns into f(2x), we need to halve the value of x.

The roots of f(2x) will be equal to ( 1 / 2 ) and -1.

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the root of function f(x) are 1 and -2. The roots of F(2x) will be calculated as:-

( x - 1 ) ( x + 2 ) =0

( 2x - 1 )( 2x + 2 ) =0

x = 1 / 2

x = -1

Therefore, the roots of f(2x) will be equal to ( 1 / 2 ) and -1.

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154 cm3 = 0,154 dm3 = 0,154 l = 154 ml

Answer:

4x + 2

Step-by-step explanation:

x - 1 is adding an x and subtracting a 1 ,so

x + x + x + (x - 1) + 1 + 1 + 1

= x + x + x + x - 1 + 1 + 1 + 1 ← collect like terms

= 4x + 2

Answer: 4:18

Work:

2:9

2 inch:9 feet

2 · 9 = 18

2 · 2 = 4

4 inch:18 feet

The rate of change of Julian given the equation y = 37.8x is 37.8

The equation:

y = 37.8x

where,

If x = 3 gallons

y = 37.8x

= 37.8 × 3

y = 113.4 miles

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The statement that best explains why one graph appears skewed and one graph appears symmetrical is given by: Option C: The interval of the stem-and-leaf plot is not consistent.

A symmetric distribution oftenly refers to the distribution which looks symmetric about a fixed line.

For this case, the missing image is attached below.

The stem leaf plot represents the considered bar plot.

But stem leaf plot seems symmetric whereas the box plot isn't.

This is because the stem and leaf plot is missing '5' in its stem, making the interval inconsistent.

Doing inconsistant graphing isn't allowed as that represents distorted data, as for this case, the data seems symmetric when it isn't.

Thus, the statement that best explains why one graph appears skewed and one graph appears symmetrical is given by: Option C: The interval of the stem-and-leaf plot is not consistent.

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Answer:c edge

Step-by-step explanation:

Answer: 1,096 cups

Step-by-step explanation:

Answer: 1096 cups left.

Step-by-step explanation: 20% of 5,480 is 1096.  This is accurate because 20% is one-fifth of 100%.  In this case, 5,480 is our 100%.  When you divide 5,480 by 5, you get the answer 1,096, which is 20% of the 5,480 cups that Eric started with.

Have a great day! :)

Answer:

4 Years.

Step-by-step explanation:

Principle ⇒ 2000

Interest ⇒ 400

Rate ⇒ 5%

Time ⇒ _

Simple interest ⇒ p * x * t / 100

⇒ 400 = 2000 * 5 * t / 100

⇒ 400 = 200 * 5 * t / 10

⇒ 400 = 20 * 5 * t

⇒ t = 400 / 20 * 5

⇒ t = 40 / 2 * 5

⇒ t = 20 / 5

⇒ t = 4

Answer:

The stunt plane finally finished his stunt at a height of 300m above the skyscraper which means he is at a height of h0 + 300 above sea level

Therefore , the total elevation (e)  would be :

e = 300 + 100

= 400m

Answer: 97

Step-by-step explanation: