The table shows the results of randomly selecting colored marbles from a bag 20 times. Based on these results enter the expected probability of selecting a blue marble from the bag in one attempt. Round your answer to the nearest tenth.

Question 20:

the complex number in trigonometric form r(cos + i sin 8), with 8 in the interval [0". 360") is  3[cos 90+ i sin 90°).

Option B is correct.

Question 21.

The expression in the standard form a + bi.

[2(cos 15" + i sin 15°)] is \(3\sqrt{} 2 + 3\sqrt{2} i\)

Option C is correct.

Question 22

The  complex roots of-21  is :

5√2 (cos 54° + i sin 54°), %√2 (cos 126° + i sin 126°),% √2 (cos 198° + i sin 198°), 5√2 (cos 270° + i sin 270°), 5√2 (cos 342° + i sin 342°).

Option B is correct.

Complex roots are described as  the imaginary roots of equations, which are represented as complex numbers.

The expression : 2(cos 15° + i sin 15°) = 2e^(i15°) can be written in standard from as

2e^(i15°) = 2(cos 15° + i sin 15°)

= 2cos 15° + 2i sin 15°

=2cos 15° + 2i sin 15°

=  \(3\sqrt{} 2 + 3\sqrt{2} i\)

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Answer:

i³=(v-1)³

Step-by-step explanation:

I'm assuming "I" is "i" but capitalised

i=v-1

i³=(v-1)³

Answer: 3

Step-by-step explanation:

\(\frac{16^2 \cdot 3^5}{12^4}\\\\=\frac{2^8 \cdot 3^5}{2^8 \cdot 3^4}\\\\=3\)

where the question??????????????

Answer: -4, -4

Step-by-step explanation:

-4 x -4 = 16

-4 + -4 = -8

Answer:

150

Step-by-step explanation:

30 + 30 + 45 + 45 = 150

Answer:

A

Step-by-step explanation:

To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:

First, let's simplify the division 3 11 5 ÷ 3:

3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.

Next, let's subtract 9 5 from the result we obtained:

115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.

Therefore, the simplified expression is 70.

The correct answer is A. 70.

Answer:

x=12

Step-by-step explanation:

58=5x-2

add 2 to both sides

60=5x

divide by 5

12=x

Extra

The angle on the other side = 122 on top and bottom

Answer:

The value of the expression is 382

Step-by-step explanation:

x = 77 and the expression given is 5x - 3

5x - 3

input the given

5(77) - 3

solve

5 times 77 is 385

so now we have

385 - 3 which equals 382

so our final answer is 382

Answer:

\( \longmapsto 5x - 3\)

\( \longmapsto5(7) - 3\)

\( \longmapsto35 - 3\)

\( \longmapsto 32\)

The value of 5x-3 is 32 when x =7.

The probability that the first defective hard drive is the fifth unit tested is 0.03.

What is the probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. A probability of 0.5, for example, means that there is an equal chance of an event happening or not happening. Probabilities can also be expressed as percentages or as decimals.

What is another word for a faulty hard drive?

P(X=k)=q^ K−1P=(1−p) ^K−1 P

Evaluate at k=5k=5:

P(X=5)=(1-0.03)^{5-1}0.03\approx 0.02656

P(X=5)=(1−0.03)^5−1 ≈ 0.03

Hence, the probability that the first defective hard drive is the fifth unit tested is 0.03.

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The probability that the first defective hard drive is the fifth unit tested is 0.03.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. A probability of 0.5, for example, means that there is an equal chance of an event happening or not happening. Probabilities can also be expressed as percentages or as decimals.

What is another word for a faulty hard drive?

\(P(X=k)=q^K−1P=(1−p)^K−1 P\)

Evaluate at k=5k=5:

P(X=5)=\((1-0.03)^{5-1}0.03\approx 0.02656\)

P(X=5)=(1−0.03)⁵⁻¹≈ 0.03

Hence, the probability that the first defective hard drive is the fifth unit tested is 0.03.

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Answer:  Vertex is (0,8)        

On solving the provided question, we can say that - the range \(|x + 1| = 0\) \(x + 1 = 0 = > x = -1\) and \(y = 3\)

Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

The regions where the absolute values are zero are known as the vertex points of an absolute value function.

\(|x + 1| = 0\\x + 1 = 0\\x = -1\)

\(y = |-1 + 1| + 3\\y= 0 + 3\\y = 3\)

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The probability of successful region is  =241/2500 Option b is correct.

Since √x=12, 12 ≤√x<13 and thus 144 ≤ x  < 169.
The successful region is when 120 ≤ 10√x < 121 in which case 12 ≤√x< 12.1
Thus, the successful region is when
144 ≤ x < 146.41

The successful region consists of a 2.41 long segment, while the total possibilities region is 25 wide. Thus, the probability is
=2.41/25
=241/2500 (B)  


In mathematics, a real number is a quantity that can be expressed as an infinite decimal expansion. In contrast to the natural numbers 1, 2, 3,..., which are derived from counting, real numbers are used in measurements of continuously varying quantities such as size and time.
               

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Answer:

76%

Step-by-step explanation:

57/75

(57 X 100)/ 75

5700/75

1900/25

76/1

76

Answer:

40 degrees

Step-by-step explanation:

Answer:

40°F

Step-by-step explanation:

If you add 15 to -15 it's 0 and if you add another 15 that's 15 and if you add a 10 it brings it up to 25.

Emerson actually hit the ball 32% of times at bat.

What is percentage ?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

Since in Game 1, Emerson struck out 30 times in 90 times at bat;

in Game 2, he struck out 40 times in 120 times at bat;

in Game 3, Emerson struck out 42 times in 140 times at bat;

To determine what percentage of times at bat did Emerson actually hit the ball, the following calculation must be performed:

(30 + 40 + 42) / (90 + 120 + 140) = X

112/350 = X

0.32 = X

Therefore, Emerson actually hit the ball 32% of times at bat.

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-10 + 5.47722~
=4.523~
round to nearest tenth = 4.5

Answer:

-4.5

Step-by-step explanation:

\(\sqrt{30}\) is approximately 5.47722557505.  You can find this number with a calculator.

-10 + 5.47722557505 = -4.52277442495

To add a negative and a positive number, you subtract the absolute values and take the sign of the number that has the larger absolute value.  Absolute value just means thinking of both numbers as positive numbers.

Helping in the name of Jesus.

Answer:

26.8°

Step-by-step explanation:

You find the supplementary angle by 180° - 153.2° = 26.8°

The time when the instantaneous velocity is equal to the average velocity is t = 2.

What is the derivative?

A derivative is the instantaneous rate of change of a function with respect to any of its variables.

The instantaneous velocity of the bug is given by the derivative of s(t), which is:

s'(t) = 2t - 2

The average velocity of the bug between time t1 and t2 is given by the difference in position divided by the difference in time:

average velocity = (s(t2) - s(t1)) / (t2 - t1)

To find the time at which the instantaneous velocity is equal to the average velocity, we need to solve the equation:

s'(t) = (s(t2) - s(t1)) / (t2 - t1)

for t1 and t2. We can simplify this equation by first finding an expression for s(t2) - s(t1):

s(t2) - s(t1) = [(t2)² - 2t2 + 3] - [(t1)² - 2t1 + 3]

= t2² - (t1)² - 2(t2 - t1)

= (t2 - t1)(t2 + t1 - 2)

Substituting this into the equation above, we get:

2t - 2 = (t2 + t1 - 2) / (t2 - t1)

Multiplying both sides by (t2 - t1), we get:

2t(t2 - t1) - 2(t2 - t1) = t2 + t1 - 2

Simplifying, we get:

2t(t2 - t1 - 1) = t2 + t1 - 2

We want to solve for t1 and t2 such that the above equation is satisfied and s'(t) = (s(t2) - s(t1)) / (t2 - t1).

We can simplify the equation by using the fact that the average velocity is equal to the instantaneous velocity when the function is linear.

The derivative of s(t) is a quadratic function, so we need to find the point at which the tangent line is equal to the secant line between two points.

The slope of the tangent line at time t is given by s'(t). The slope of the secant line between times t1 and t2 is given by:

(s(t2) - s(t1)) / (t2 - t1)

To find the time when the instantaneous velocity is equal to the average velocity, we first need to find the average velocity.

The average velocity of the bug from time t1 to t2 is given by:

average velocity = (s(t2) - s(t1))/(t2 - t1)

Let's choose two arbitrary times, t1 and t2, such that t1 < t2. Then the average velocity over that interval is:

average velocity = (s(t2) - s(t1))/(t2 - t1)

= ((t2² - 2t2 + 3) - (t1² - 2t1 + 3))/(t2 - t1)

= (t2² - t1² - 2t2 + 2t1)/(t2 - t1)

= (t2 + t1 - 2)(t2 - t1)/(t2 - t1)

= t2 + t1 - 2

Now we need to find the time t when the instantaneous velocity is equal to this average velocity. The instantaneous velocity at time t is given by the derivative of the position function:

v(t) = s'(t) = 2t - 2

So we need to solve the equation:

v(t) = t + (t-2)

= 2t - 2

= average velocity

Simplifying this equation gives:

t = 2

Therefore, the time when the instantaneous velocity is equal to the average velocity is t = 2.

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Answer:

A and B, no. C and D, no.

Step-by-step explanation:

I apologize as I am not sure on E and F as I cannot recall if size matters.

Hope this helped even though I could only answer 2/3 questions.

If needed:

Reason for A and B: They are different sizes and contain angles with different degrees.

Reason for C and D: They are near the same size, but look partially different, and contain angles with different degrees.

Sorry again I could not help with E and F. :(

Answer:

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

Given:

To find the arc measure (θ) in radians, we can use the formula:

Now, plug in the given values:

To solve for θ, divide both sides by 4:

Simplify the expression:

So, the arc measure (θ) is 2π/3 radians

It takes time of near about 35 year.

Given that,

Storage capability of computers has been doubling every 5 years

The date of 1st computer made = 1980

computer could store 5 megabytes,

Now,

We can use the following calculation to determine how long it took computers to store 100 megabytes:

Therefore,

Log₂ (final amount / beginning amount)

=  Log₂ (100 / 0.5)

= log₂ (200)

= 7.64 is the number of doublings.

If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.

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Answer:

     y = 94

Step-by-step explanation:

Linear Pair:

The two adjacent angles whose non common arms form a straight line is called linear pair. They add up to 180

2x + 36 = 180 {linear pair}

       2x  = 180 - 36

       2x = 144

Sum of all angles of a n-sided polygon = (n-2)*180

                                                                 = ( 6-2)*180

                                                                 = 4 * 180

                                                                  = 720

y + 144 + 111 + 105 + 165 + 101 = 720

                                  y + 626  = 720

                                             y = 720 - 626

                                            \(\sf \boxed{y = 94^ \circ}\)

Answer:

94°

Step-by-step explanation:

2x + 36 = 180 (angles on a straight line)

2x = 180 - 36

2x = 144

2x = 144°

Sum of all angles of a n-sided polygon = (n-2)×180 = ( 6-2)×180

= 4 × 180

= 720

y + 144 + 111 + 105 + 165 + 101 = 720

y + 626 = 720

y = 720 - 626

y=94 °

Answer: $1856

Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856

Check the picture below.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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