Write an equivalent expression for each operation.
(3 + 2i) + (4 + 5i)
Help me plz ASAP

Answer:

0.087 = 8.7% probability that this person made a day visit.

0.652 = 65.2% probability that this person made a one-night visit.

0.261 = 26.1% probability that this person made a two-night visit.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Made a purchase.

Probability of making a purchase:

10% of 20%(day visit)

30% of 50%(one night)

20% of 30%(two night).

So

[tex]p = 0.1*0.2 + 0.3*0.5 + 0.2*0.3 = 0.23[/tex]

How likely is it that this person made a day visit?

Here event B is a day visit.

10% of 20% is the percentage of purchases and day visit. So

[tex]P(A \cap B) = 0.1*0.2 = 0.02[/tex]

So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.23} = 0.087[/tex]

0.087 = 8.7% probability that this person made a day visit.

A one-night visit?

Event B is a one night visit.

The percentage of both(one night visit and purchase) is 30% of 50%. So

[tex]P(A \cap B) = 0.3*0.5 = 0.15[/tex]

So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.23} = 0.652[/tex]

0.652 = 65.2% probability that this person made a one-night visit.

A two-night visit?

Event B is a two night visit.

The percentage of both(two night visit and purchase) is 20% of 30%. So

[tex]P(A \cap B) = 0.2*0.3 = 0.06[/tex]

Then

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.23} = 0.261[/tex]

0.261 = 26.1% probability that this person made a two-night visit.

Answer:

sln

f(x) =-22+x+14 put 2 in x

f(2)=-22+2+14

f(2) =38

Answer:

3

Step-by-step explanation:

Answer:

The relationship is “hours multiplied by  

3

equals the number of dogs.”

Step-by-step explanation:

Answer:

8 {m},{a},{t},{m,a},{m,t},{a,t},{m,a,t},{}

Answer:

Step-by-step explanation:

m = 60-y

m+5 = 65-y

Answer:

he spent $34.67 that is the answer

Answer:

23

Step-by-step explanation:

This question is incomplete, the missing table is uploaded along this answer below.

Answer:

percentage of age reduction is 40

Option B) 40% is the correct answer

Step-by-step explanation:

Given the data in the question;

from the table in the image below;

sample x = 25.69 , 25.58 , 24.78 , 24.94 , 24.87 , 24.63 , 25.70 , 25.52 , 24.95 , 24.91

mean = ∑x/n

where n is sample size

= (25.69  + 25.58  +24.78  + 24.94  + 24.87  + 24.63  + 25.70  + 25.52  +24.95 ) / 10

= 251.57 / 10

mean u = 25.157

so;

S/N    Sample (X)       Mean (u)       (X-U)²

1            25.69              25.157      0.284089

2           25.58              25.157      0.178929

3           24.78              25.157       0.142129

4           24.94              25.157       0.047089

5           24.87              25.157       0.082369

6           24.63              25.157       0.277729

7           25.7                 25.157       0.294849

8           25.52              25.157       0.131769

9           24.95              25.157        0.042849

10          24.91               25.157       0.061009

Total     251.57                               1.54281

Mean  25.157

Sample Variance = ∑(x-u)²/n-1 = 1.54281 / (10 - 1) = 1.54281 / 9 = 0.1714

Standard deviation STD1 = √ (variance) = √0.1714 = 0.414

now, for 6-sigma capability, Cpk = 2

Cpk = min of ( USL - mean ) / 3×STD), (Mean - LSL) / 3×STD

since our mean is centered between USL and LSL;

Cpk = ( 26.5 - 25 ) / 3×STD2

we substitute

2 = ( 26.5 - 25 ) / 3×STD2

6STD2 = 1.5

STD2 =  1.5 / 6

STD2 = 0.25

so current standard deviation STD1 = 0.414

required standard deviation for 6-sigma process STD2 = 0.25

so percentage of age reduction will be;

⇒ ( 0.414 - 0.25 ) 0.414 = 0.164 / 0.414 = 0.396 ≈ 0.4

⇒ 0.4 × 100 = 40%

Therefore, percentage of age reduction is 40

Option B) 40% is the correct answer

you would spend $30

Step-by-step explanation:

if 20 calculator cost 120 then you would divide 20 by 120 which would give you 6 dollars per calculator then you would multiply that by 5 which would give you a $30 for five calculators.

Answer:

where is the table?

I am just telling you how to get the cost of 5 calculators...

Step-by-step explanation:

Cost of 20 cal.=$120

Cost of 1 cal.=120/20

So,

cost of 5 calculators=

120/20*5

=$30

Hope it helps you

Answer:

false

a rhombus only has 4 equilateral sides and a square has 4 equilateral sides and all interior angles are right angles therefore that question is false

Answer:

x=-10/3

Step-by-step explanation:

Answer: x = 17

Step-by-step explanation:

Triangle angle sum theorem states the three interior angles of a triangle sum to 180 degrees. Add all of the angles together and set equal to 180 to solve for x.

(3x)+(6x+10)+x= 180. Combine like terms.

10x + 10= 180. Subtract 10 from both sides.

10x = 170. Divide both sides by 10.

X = 17

Answer:

A small page can fit 2 photographs, and a large on can fit 2 photographs.

Step-by-step explanation:

Let the number of photographs on the small page be represented by m and that of large one by n.

Since the number of photographs on a page remains constant, then;

4m + 7n = 22 ........... 1

8m + 7n = 30 .......... 2

Multiply equation 1 by 2, and 2 by 1 to have;

8m + 14n = 44 ....... 3

8m + 7n = 30 ......... 4

subtract equation 4 from 3,

7n = 14

n = 2

Substitute the value of n in equation 1

4m + 7(2) = 22

4m + 14 = 22

4m = 8

m = 2

m = 2, n = 2

Therefore, a small page can fit 2 photographs, and a large on can fit 2 photographs so that the number of photographs n a page is constant.

Answer:

6.55555555556

Step-by-step explanation:

Answer:

6 10/18 i think

Simplified is 6 5/9

improper fraction is 118/18

Step-by-step explanation:

Answer:

To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together. Be sure than none of the simpler figures have overlapping areas. To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.

Answer:

1748

Step-by-step explanation:

Tuesday + Wednesday - Monday

Answer:

The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.

Step-by-step explanation:

Confidence interval normal

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.054\frac{54}{\sqrt{430}} = 5.35[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 312 - 5.35 = 306.65 minutes

The upper end of the interval is the sample mean added to M. So it is 312 + 5.35 = 317.35 minutes

The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.

Answer:

No conozco este pero puedo ayudarte con otros

Step-by-step explanation:

Based on the table given, the bookstore that discounts more pesos from the original price is Leer es saber.

Discount from El cuentacuentos:

= 100 x 20%

= $20

Discount from Leer es saber:

= 125 x 25%

= $31.25

Discount from El librote:

= 80 x 5%

= $4.00

Discount from Imagina:

= 90 x 10%

= $9

The highest is therefore Leer es saber.

The rest of the question is:

Qué librería descuenta más pesos del precio original?

Find out more on discounts at https://brainly.com/question/1548141.

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I'm sorry m8 the only options I can give you is life or death. also can u give me brainliest many thank xoxo

Answer:

Carlotta needs 24 orange beads for her necklace.

Step-by-step explanation:

For each necklace, the ratio of blue beads to orange beads is 3 to 2. or 3:2

Total beads given to make a necklace is = 60

Let the number of orange beads be = x

The ratio is 2 orange beads out of 5 total beads

So, we can represent the ratio as:

x=24

Hence, Carlotta needs 24 orange beads for her necklace.

Blue beads needed =  

We can also check the ratio for blue beads to orange beads:

Divide by 4, we get

Divide by 3, we get

 ...... (the given ratio)

Therefore, Carlotta needs 24 orange beads for her necklace

Answer:

choice 2) 1/5 x 3/15 = 3/75 = 1/25

Step-by-step explanation:

Answer:

3: 2 because for every 4 men there was 1 women so 4 + 1 = 5 and x 2 = 10 so thats the number of adults and since we multiplied by 2 we have to women

9514 1404 393

Answer:

  16

Step-by-step explanation:

The equation of a line with slope m=1 through the point (h, k) = (-5, 7) will be ...

  y -k = m(x -h)

  y -7 = x +5

  y = x +12

Then for x = 4, the value of y is ...

  y = 4 +12 = 16

The point is (4, x) = (4, 16), so x = 16.

Answer:

16

Step-by-step explanation:

Given that the slope of the line is 1 . And it passes through the points (-5,7) and (4,x) .We know that slope is difference of ordinate by difference of abssica . So that ,

[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies 1 =\dfrac{ 7-x}{-5-4} \\\\\implies 1 \times -9 = 7-x \\\\\implies -9 -7 = -x \\\\\implies \underline{\underline{ x = 16 }}[/tex]

Hence the required answer is 16 .

Answer:

[tex]y = -\frac{3}{2}x + 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of y when x = 0).

If two lines are perpendicular, the multiplication of their slopes is -1.

Contains (0, 2)

This means that [tex]b = 2[/tex]. So

[tex]y = mx + 2[/tex]

Finding the slope:

Perpendicular to y = 2/3x + 1 means that:

[tex]\frac{2m}{3} = -1[/tex]

[tex]2m = -3[/tex]

[tex]m = -\frac{3}{2}[/tex]

So

[tex]y = -\frac{3}{2}x + 2[/tex]

The balance at the end of one years is; $502.5. The equation that that represents the balance in the account is $500 x (1.005)^1

The amount of money in the bank account would grow at an exponential rate. then the formula for calculating future value:

FV = P (1 + r)^nm

Where:

FV = Future value

P = Present value

R = interest rate

N = number of years

We are given that bank account pays 0.5% monthly interest. If $500 is put in the account, it will the balance be at the end of one year,

$500 x (1 + 0.5/100)^1

$500 x (1.005)^1

= $502.5

To learn more about future value, please check: brainly.com/question/18760477

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Answer: $530.84

Step-by-step explanation: The principal is $500 with 0.5% added MONTHLY. One year has 12 months so we must calculate the interest for 12 months.

$500(1.005)^12 = $530.838 which rounds to $530.84

Answer:

183.6

Step-by-step explanation:

170, percentage increased by 8% (percent) of its value = 183.6

Answer:

183.6

Step-by-step explanation:

170 divided by 100 = 1.7 multiplied by 8 = 13.6 + 170 = 183.6

Answer:

I think is the 3rd one but I am not sure

Step-by-step explanation:

given

3n + 2 + 5 = 4

3n + 7 = 4

3n = 4 - 7

3n = - 3

n = - 3 / 3

n = -1

Hope it will help :)❤