If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?
2
4
9
10

Answer:

1) correct

2) correct

3) incorrect, x = 11

4) incorrect, x = 50

Step-by-step explanation:

3) 90-35 = 5x

5x = 55

x = 11

4) 90-56 = (x-16)

x-16 = 34

x = 50

Answer:

Step-by-step explanation:

3) 5x +  35 = 90 {Complementary angles}

          5x = 90 - 35

          5x = 55

            x = 55/5

             x = 11

4) 56 +x - 16 = 90 {Complementary angles}

         x + 40 = 90

                x = 90 - 40

               x = 50

Answer:

1721.06666667

Step-by-step explanation:

Answer:

1795.73333333

Step-by-step explanation:

hope this helps

Answer:

50

Step-by-step explanation:

140- 40=100

100÷2=50

x=50

Answer:

The answer is (2,16)

Step-by-step explanation:

graphing

Answer:

go to the beach

play volleyball

swim

go to the beach and play volleyball

go to the beach and swim

play volleyball and swim

go to the beach and play volleyball and swim

Step-by-step explanation:

Answer:

go to the beach

play volleyball

or swim

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

a) 26.79%, b) 50.42% and c) 22.79%

Step-by-step explanation:

a. What is the probability that both Dave and Mike will show up?

As decisions of showing up can be assumed to be independent, the probability will be given by

(1-0.53)(1-0.43)=(0.47)(0.57)=0.2679=26.79%

b. What is the probability that at least one of them will show up?

There are two possibilities for this to happen:

Dave shows up but Mike does not. The probability of Dave to show up is (1-0.53)=0.47 and the probability that Mike does not is 0.43. Then, as these events are independent, the probability for both of them to happen is (0.47)(0.43)=0.2021=20.21%

Mike shows up but Dave does not. The probability of Mike to show up is (1-0.43)=0.57 and the probability that Mike does not is 0.53. Then, as these events are independent, the probability for both of them to happen is (0.57)(0.53)=0.3021=30.21%

Therefore, the probability that at least one of them will show up? is 20.21%+30.21%=50.42%.

c. What is the probability that neither Dave nor Mike will show up?

As decisions of showing up can be assumed to be independent, the probability will be given by

(0.53)(0.43)=0.2279=22.79%

Answer:

y=-5/4x+5

Step-by-step explanation:

The line goes down 5 for every 4 to the right, and it crosses the y-axis at (0,5).

Answer:

a)

P(X = 0) = 0.2840

P(X = 1) = 0.4201

P(X = 2) = 0.2331

P(X = 3) = 0.0575

P(X = 4) = 0.0053

c) The most likely value for X is 1.

d) 0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.

Step-by-step explanation:

For each homeowner, there are only two possible outcomes. Either they are insured against earthquake damage, or they are not. Homeowners are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

27% of all homeowners are insured against earthquake damage.

This means that [tex]p = 0.27[/tex]

Four homeowners are to be selected at random.

This means that [tex]n = 4[/tex]

(a) Find the probability distribution of X.

This is the probability of each outcome. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.27)^{0}.(0.73)^{4} = 0.2840[/tex]

[tex]P(X = 1) = C_{4,1}.(0.27)^{1}.(0.73)^{3} = 0.4201[/tex]

[tex]P(X = 2) = C_{4,2}.(0.27)^{2}.(0.73)^{2} = 0.2331[/tex]

[tex]P(X = 3) = C_{4,3}.(0.27)^{3}.(0.73)^{1} = 0.0575[/tex]

[tex]P(X = 4) = C_{4,4}.(0.27)^{4}.(0.73)^{0} = 0.0053[/tex]

So the probability distribution is

P(X = 0) = 0.2840

P(X = 1) = 0.4201

P(X = 2) = 0.2331

P(X = 3) = 0.0575

P(X = 4) = 0.0053

(c) What is the most likely value for X?

P(X = 1) has the highest probability, so X = 1 is the most likely value.

(d) What is the probability that at least two of the four selected have earthquake insurance?

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.2331 + 0.0575 + 0.0053 = 0.2959[/tex]

0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.

Answer:

20

Step-by-step explanation:

Answer:

Each number matches up below. The left side is x, and the right is y.

1 ⇒ 192

2 ⇒ 384

4 ⇒ 768

6 ⇒ 1152

10 ⇒ 1920

Step-by-step explanation:

We know in 1 serving, there is 192 calories. Following this, to find the calories for 2 servings, we multiply 192 by 2.

192*2 = 384

When we know the calories but not the serving, you divide the calories by 192

768/192 = 4

Answer:

C

Step-by-step explanation:

Basically just multiply every number by 2 for the new coordinates

Answer: C

Step-by-step explanation:

Answer:

The correct answers are:

7) 2 to 5

8) the product of the means is equal to the product of the extremes (D)

Step-by-step explanation:

7) Number of tbsp of sugar = 4

Number of tbsp of baking powder = 10

∴ ratio of sugar to baking powder = 4 : 10

simplifying further by dividing through by 2

4 : 10 = 2 : 5

∴ ratio of sugar to baking powder = 2 to 5

8) A proportion is a statement that equates two rates or ratios.

For example:

[tex]\frac{a}{b} = \frac{c}{d}[/tex]

In this equation, the first and the fourth terms (a and d) are called extremes, while the second and third terms are called means.

Therefore, one rule of proportions is that the product of the extremes must equal the product of the means. This means that:

a × d (extremes) = b × c (means)

Answer:

Hello ppcarrerasx3 I am going to be your personal instructor on brainly ty for choosing us for 5 star awnsers

The correct answer is will play

It is modified to show future aspect, but is still simple.

Step-by-step explanation:

Answer:

47 in soccer and 52 in basketball

Step-by-step explanation:

Answer:

W = 2.5 or 5/2

Step-by-step explanation:

It Equal to 2.5 or 5 by 2.

Answer:

y=3/4x

Step-by-step explanation:

Answer: The answer for the blank is domain.

Step-by-step explanation: Domain is the input of a function, and range is the output.

Answer:

=

Step-by-step explanation:

I hope this helps! :)

☁️☁️☁️☁️☁️☁️☁️☁️

Given system of linear equations are ,

And we need to find the Solution of the linear equation . So let's Firstly number the equations .

[tex]\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}[/tex]

→ Multiplying equⁿ (i) by 3 ,

=> 3 ( x + y ) = 2*3

=> 3x + 3y = 6

→ Adding the two equations ,

=> 3x + 3y -3y + y = 6 + 2

=> 4y = 8

=> y = 8/4

=> y = 2

→ Put y = 2 in (i) ,

=> x + y = 2

=> x + 2 = 2

=> x = 2- 2

=> x = 0

Answer:

8

Step-by-step explanation:

Answer:

The diameter would be 8

Step-by-step explanation:

The diameter of a circle is twice the radius.

4×2=8

I hope this helps

Answer:

10.7%

Step-by-step explanation:

possibility to get a blue marker : 4/15

possibility to get a green marker: 6/15

possibility to get a blue then a green: 24/225

= 10.666666%

= 10.7%

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{4(6x + 11)}[/tex]

[tex]\large\text{Distribute}[/tex]

[tex]\large\text{4(6x) + 4(11)}[/tex]

[tex]\large\text{4(6x) = 24x}[/tex]

[tex]\large\text{4(11) = 44}[/tex]

[tex]\large\text{= 24x + 44}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf{24x + 44}}}}\huge\checkmark[/tex] ☑️

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

a chance that it will not need to be replaced

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:only reasonable answer if you are subtracting 56 and attempting to estimate to the closest value. my guess, not TOTAL aswer,