The mean age of 5 people in a room is 33 years. A person enters the room. The mean age is now 37. What is the age of the person who entered the room?

Answer:

huh- So lemme get this straight if a dollar tree (where I live) goes out of business I can buy it for like 20 cents??? AWESOME. I'll do that.

Step-by-step explanation:

Answer:

1. A, E

2. C

Step-by-step explanation:

1. tan theta = 1/cot theta

  sec theta = 1/ cos theta

2. Sec^2x-1 = tan^2x

   sinx sec x = tanx

   = tan^2x/tanx = tan x

The identities are (a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) and the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

As a general rule, we have:

tan(θ) = 1/cot(θ)

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

sin^2(θ) + cos^2(θ) = 1

The above means that:

(a) tan(θ) = 1/cot(θ), (c) 1 -  sin^2(θ) = cos^2(θ) and (e) sec(θ) = 1/cos(θ) are identities

We have:

[tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex]

Express the numerator as tan^2(x)

[tex]\frac{\tan^2(x)}{\sin(x)\sec(x)}[/tex]

The product sin(x)sec(x)  = tan(x).

So, we have:

[tex]\frac{\tan^2(x)}{\tan(x)}[/tex]

Divide

tan(x)

Hence, the simplified form of [tex]\frac{\sec^2(x) - 1}{\sin(x)\sec(x)}[/tex] is tan(x)

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Answer: 4,000,000,000 mm

Step-by-step explanation:

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

The distance between the two cities in millimetres of 4,000,000,000 mm

Distance is defined as the length between the two points just like in the question it is the length between the two cities.

We know that:-

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

Therefore the distance between the two cities in millimetres of 4,000,000,000 mm

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Answer:

Option B

Step-by-step explanation:

By applying cosine rule in the given triangle ABC,

BC² = AC² + AB² - 2(AC)(AB)cos(∠A)

BC² = (26)² + (23)² - 2(26)(23)cos(47°)

BC² = 676 + 529 - 815.67

BC² = 389.33

BC = √(389.33)

BC = 19.73

Therefore, Option B will be the correct option.

Answer:

A

Step-by-step explanation:

I feel strongly that it is A.

Answer:

68 games

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Games won = 85%

Game lost = 12

Here, 100% - 85% = 12

15% = 12

or 1% = 0.8

So, total games played (100%) = 80 games

Now, number of games won = Total games - Games lost

= 80 - 12

= 68 games

Hence, Kelly's team wins 68 games in the season.

Answer: Saya benar-benar membutuhkan poin tetapi saya tidak ingin dilaporkan jadi saya meletakkan ini adalah terjemahan untuk bahasa yang berbeda. Saya minta maaf untuk umpan atau apa pun namanya tetapi saya benar-benar membutuhkan poin.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

Answer: D, 36in.

Step-by-step explanation:

Answer:

67....................

Answer:

mean: 34/15=2.27

median: 2

range: highest-lowest...... 6-0=6

mid range: high + low divided by 2

6+0=6/2=3

Answer:

Mean: 2.27

Median: 2

Range: 6

Mid-range: 3

Step-by-step explanation:

The mean is adding the average of the data set; add up all numbers, then divide by how many numbers there are.

2 +3 + 1 + 6 + 1 + 1 + 1 + 0 + 2 + 4 + 5 + 1 + 2 + 2 + 3 = 34

There are 15 numbers in this data set.

34 ÷ 15 = 2.26666666667 ≈ 2.27 (nearest hundredth)

2.27 is the mean.

-------------------------------------------------------------------------------------------------------------The median is the middle number after putting the data set in numerical order.

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The median is 2.

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

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The range is the smallest number subtracted from the largest number.

6 - 0 = 6

6 is the range.

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

0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 5, 6

The formula for mid-range is:

Maximum value + largest value ÷ 2.

The largest value is 6.

The minimum value is 0.

6 + 0 = 6

6 ÷ 2 = 3.

The mid-range is 3.

Answer:

A, C, D

Step-by-step explanation:

One rule of thumb is just add up two sides and if its greater than the third value that side works. (make sure to test it for all of the sides though)

Answer:

10 cm

Step-by-step explanation:

multiply first 4×2 which is Base. then multiply by 1 1/4 which is 10

Answer:

PE = 102.9 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8 m/s^2)(1.5 m)

= 102.9 Joules

Answer:

Ha recorrido 8 km.

Step-by-step explanation:

Primero debes multiplicar el diámetro de la rueda por el número de vueltas que ha dado para encontrar cuánto ha recorrido:

80cm*10.000=80.000 cm

Ahora, debes convertir los 800.000 cm a km usando una regla de tres considerando que 1 km es igual a 100.000 cm:

1 km    →    100.000 cm

 x       ←    800.000 cm

x=(800.000*1)/100.000

x=8 km

De acuerdo a esto, la respuesta es que ha recorrido 8 km.

Answer

what is the equation equal to

Step-by-step explanation:

If thats the only thing they give it is (2x-4)(2x-4)

Answer:

4x - 16

Step-by-step explanation:

2x x 2x = 4x (2x^2)

4 x 4 = 16 (4^2)

You had to distribute that ^2.

Keep the SUBTRACTION sign.

therefore your answer is:

4x - 16

Answer:

176.25in^2

Step-by-step explanation:

You can tell that the two triangles on the left, and the two triangles on the right make a rectangle if you flip one of them. Because of this, you can multiply the base and height to get the area of both.

7.5*16=120 (left side)

7.5*7.5=56.25 (right side)

Now we add them to get the full area:

120+56.25=176.25in^2

Answer:

Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

yes

no

yes

no

Step-by-step explanation:

pls mark brainliest

Answer:

the answer on 1. is correct

number 2. is -3 not 3

Answer:

5% times 3=15%

4% times 3=12%

15-12=3

1300 times 0.03= $39

39 dollars.

Step-by-step explanation:

y-intercept: first one is -6

slope:

(-6,0) (0,-3)

-3-0/ 0- -6 = -3/6 = -1/2

3. TBD

4. slope is 3/6 = 1/2

y - 3 = 1/2(x-2)

y = 1/2x +2

5. -4/2 = 2 slope

y-2 = 2(x-3)

y = 2x -4

Answer:

x=4

Step-by-step explanation:

7(2x+8)=4(28)

14x+56=112

14x=112-56

14x=56

x=4

Answer:

$3,442.40

$3,057.60

Step-by-step explanation:

The computation of the each investment is as follows:

let us assume the one investment be x

And, the other investment be y

So

According to the question

x + y = $6,500

And,

-7x + 8y = $364

Now multiply by 7 in equation 1

7x +  7y = $45,500

-7x + 8y = $364

15y = $45,864

y = $3,057.60

x = $6,500 - $3,0657.60

= $3,442.40

Answer:

Lateral area:

Total surface area:

Answer:

90

Step-by-step explanation:

Answer:

If y is inversely proportional to x then y is 3

Answer:

36

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Let the number be x, then

First subtract 14 from number x, then

x - 14

Now multiply difference by -2, results -44

(x - 14) × -2 = -44

By solving equation,

-2X + 28 = - 44

- 2X = -44 - 28

X = -72 ÷ -2

x = 36

So, Peter's number is 36.

Answer:

6:5

Step-by-step explanation:

Bubble algae cells can grow up to 5 cm in diameter. Calculate the surface area : volume ratio of this cell.

The algae is spherical in nature

Volume of the algae =4/3 pi r³

Volume of the algae = 4/3×pi×2.5³

Volume of the algae = 62.5/3 pi

Surface area = 4pi r²

Surface area = 4pi ×2.5²

Surface area = 25pi

Taking their ratio

surface area : volume ratio

= 25pi:62.5/3 pi

= 25 × 3/62.5

= 1.2

Hence the required ratio is 12/10 which is 6:5

The correct answer is 84%

The phone battery lasts at least 4 hours and 45 minutes is 84%.

A normal distribution is a probability distribution that is perfectly symmetrical around its mean (center), showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.

For the given situation,

The normally distribution has a mean of 5 hours and a standard deviation of 15 minutes.

50% of the normal distribution lies to the right of the mean. So, the battery will last longer than 5 hours.

The interval from 4 hours and 45 minutes and 5 hours represents one standard deviation to the left of the mean.

So, about 34% of time, the battery will last between 4 hours and 45 minutes and 5 hours.

Thus, the probability that the battery lasts at least 4 hours and 45 minutes,

⇒ [tex]50+34[/tex]

⇒ [tex]84[/tex]

Hence we can conclude that the phone battery lasts at least 4 hours and 45 minutes is 84%.

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