12a+c-b; a=1/3,c=5, and b=9

The sample space for this experiment is the one in the last option.

The sample space is the set of the possible outputs that we can have for selecting two marbles.

For example, if first you get a yellow marble, and then a red one, the output will be:

yellow red,

And that is different to the output:

red yellow

Where in the second one you draw the red one first.

From the options, the one that shows the complete sample space is the last one:

"Yellow Yellow, Yellow Red, Yellow Clear, Yellow Green, Yellow Blue, Yellow

Red Yellow, Red Red, Red Clear, Red Green, Red Blue, Red

Clear Yellow, Clear Red, Clear Clear, Clear Green, Clear Blue, Clear

Green Yellow, Green Red, Green Clear, Green Green, Green Blue, Green

Blue Yellow, Blue Red, Blue Clear, Blue Green, Blue Blue, Blue"

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The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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However, we can't determine the exact number of participants with this information alone.

an individual who engages in or becomes engaged in a specific action. Examples. Over three thousand people will be competing in the games, a worldwide athletic event. She has contributed significantly to the conversation.

Let's use logic to determine the possible rankings of the participants:

A placed seventh, so at least 6 people ranked higher than A.

B placed sixth, so at least 5 people ranked higher than B.

C ranked above A and B, so C must have ranked at least fifth. This means there are at least four people who ranked higher than C.

D does worse than E and ranks penultimate, which means D ranked second to last. Therefore, there must be at least two people who ranked worse than D. Also, E must have ranked higher than D, so there is at least one person who ranked higher than D.

Putting this information together, we know that there are at least 6 + 5 + 4 + 2 + 1 = 18 people who participated in the contest.

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Answer:

\( {p}^{2} \times {p}^{( - 7)} = {p}^{(2 - 7)} = {p}^{ - 5}\)

is the right answer.

Answer:

Given in the question itself ......1 would be 33 seconds .......................

1=33s

Total 1s:-

\(\\ \tt\Rrightarrow \dfrac{3600}{33}=109.1\)

Answer:

(24 + 12) x 2 = 72 inches

The probability that the battery life is  20 ± 2 hours (between 18 and 22 hours) for each of the phones is:

Using the normalcdf function on a calculator, the probability that Phone C's battery would last between 18 and 22 hours can be found by inputing the function:

normalcdf (20, IE99, 18, 2)

The result is 0.158655 or 15.9%.

For Phone T, the function is:

normalcdf (20, IE99, 20, 3)

The result is 0.5 or 50%.

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Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Answer:

15x−18

Step-by-step explanation:

x = number of tickets sold

25x = revenue from the x tickets sold

C = costs

y = profit

y = revenue - costs

y = 25x - C

Since we don't know what the expenses are, we can't replace C with a number.

Answer:

31.4

Step-by-step explanation:

The correct value of 2f(a-1) is 2a^2 - 12a + 10.

To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.

Given: f(x) = x^2 - 4x

Substituting (a-1) into the function:

f(a-1) = (a-1)^2 - 4(a-1)

Expanding and simplifying:

f(a-1) = (a^2 - 2a + 1) - (4a - 4)

f(a-1) = a^2 - 2a + 1 - 4a + 4

f(a-1) = a^2 - 6a + 5

Now, we multiply the result by 2:

2f(a-1) = 2(a^2 - 6a + 5)

Expanding:

2f(a-1) = 2a^2 - 12a + 10

Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.

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Answer:

1500

Step-by-step explanation:

Number of boxes = 12

Number of pencils in each box = 125

Total number of pencils

= 12 × 125

= 1500 pencils

Answer:5 cm

Step-by-step explanation:

Answer: w=2.5cm

Step-by-step explanation:

when solving for a right triangle, you need to to the length multiplied by the width and then divided by two. You then get (6*5)/2=30/2=15.

When solving for a rectangle, it’s the same, but without dividing by two. But you need them to be equal, and you already have the measure six.
So 5/2=2.5 therefore w=2.5cm.

It is important to note that this equation assumes a constant density of seawater, which is not always the case in the deep ocean. In addition, the pressure at a given depth can vary depending on factors such as temperature and salinity. This equation should be used with caution and in conjunction with other measurements and data analysis techniques.

The given equation for pressure in pounds per square foot at a depth of d feet is P = 14 + 4d/9. We are given that the pressure measured by the scientific team is 306 pounds per square foot. To find the depth at which this pressure is measured, we need to solve the equation for d.

Substituting P = 306 in the equation, we get:

306 = 14 + 4d/9

Multiplying both sides by 9, we get:

2754 = 126 + 4d

Subtracting 126 from both sides, we get:

2628 = 4d

Dividing both sides by 4, we get:

d = 657 feet

The scientific team is measuring the pressure at a depth of 657 feet below the surface of the ocean.

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PART A: Linda has $4.41 more than Enrique after one year.

PART B: Enrique has $12.10 more than Linda after the second year.

PART A: After one year, we can calculate the amount of money each person has in their respective accounts.

For Linda's account:

Principal amount = $610

Interest rate = 1.2%

\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)

\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)

For Enrique's account:

Principal amount = $590

Interest rate = 3.9%

\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)

Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91

Comparing the two amounts, after one year Linda has more money.

The difference in the amount is:

$617.32 - $612.91 = $4.41

Therefore, Linda has $4.41 more than Enrique after one year.

PART B: After a second year, we need to calculate the amounts again.

For Linda's account:

Principal amount = $617.32

Interest rate = 1.2%

\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)

Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73

For Enrique's account:

Principal amount = $612.91

Interest rate = 3.9%

\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)

Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83

Comparing the two amounts, after the second year Enrique has more money.

The difference in the amount is:

$636.83 - $624.73 = $12.10

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Answer:

f(x)=3x-5

f(a-2)=

3(a-2)-5

3a-6-5

3a-11

The cost to paint the lateral faces of the cabin is $360.

Given that a pentagonal pyramid cabin has a slant height of 18 feet and a base edge length of 16 feet.

We need to find the cost of painting the cabin,

The surface area of the pentagonal pyramid = 5 × height × base edge

= 5 × 18 × 16

= 1440 ft²

Since the cost of the painting one square feet is $0.25 so,

So, for the area of 1440 ft² it will cost = 1440 × 0.25

= $360

Hence the cost to paint the lateral faces of the cabin is $360.

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So the question is just asking you to do 2^20 / 2^10 = 2^10 . So 2^10

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)

a = 1, b = 1 and c = -930

\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)

\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

-6

Step-by-step explanation:

Answer:

Hello! Mizuki here to save you from your math teacher!

The correct answer will be -6

Step-by-step explanation:

-1 x 2 x 3 = -2 x 3 = -6

Answer:

x=11

Step-by-step explanation:

(3x-1)+(6x-8)= 90

9x- 9= 90

+9 +9

9x=99

/9 /9

x=11

Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

Answer:

ss

Step-by-step explanation:

s

Answer:

54

Step-by-step explanation:

ratio is 7:9

7=42

9=?

9×42÷7

The volume of the shape is 490cm³

A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.

The base of this prism is rectangular. The volume of a prism is expressed as;

V = base area × height

base area = 7 × 10 = 70cm²

height = 7cm

the volume of the shape = 70× 7 = 490cm²

therefore the volume of the shape is 490cm³.

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