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2 years ago

Which equation represents a parabola that has a minimum value at y=4

Mathematics

1 answer:

Nikolay [14]2 years ago

5 0

43 yeah but it’s equal to x

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(1+i)^2(x+yi)=4+5i<br> Solve for x and y

faust18 [17]

Answer:

x = 5/2

y = -2

Step-by-step explanation:

(1+i)² (x+yi) = 4+5i

(1+2i+i²)(x+yi) = 4+5i

(1+2i-1)(x+yi) = 4+5i

2i(x+yi) = 4+5i

2i²y + 2xi = 4+5i

-2y + 2xi = 4 + 5i

By comparing both sides,

-2y = 4

y = -2,

2x = 5

x = 5/2

7 0

2 years ago

Based on past experience, a telemarketing firm has found that calls to prospective customers take an average of 2.0 minutes, wit

xenn [34]

Answer: Our required probability would be 0.9641.

Step-by-step explanation:

Since we have given that

Number of hours he works a day = 8

So, Number of minutes he worked in a day = $8\times 60=480\ minutes$

Number of calls = 220

So, Average $=\bar{x}=\dfrac{480}{220}=2.18\ minutes$

Standard deviation $=s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1.5}{\sqrt{220}}=0.10$

Mean = μ = 2.0 minutes

Standard deviation = σ = 1.5 minutes

Using the normal distribution, we get that

$z=\dfrac{\bar{x}-\mu}{s}\\\\z=\dfrac{2.18-2.0}{0.10}\\\\z=1.8$

So, the probability that Albert will meet or exceed his quota would be

$P(X\leq 2.18)=P(z\leq 1.8)=0.9641$

Hence, our required probability would be 0.9641.

6 0

3 years ago

Suppose you visit a restaurant with a salad bar containing the following choices: 10

Vikentia [17]

Answer:

3600

Step-by-step explanation:

multiply all of the choices

10x15x6x4

8 0

2 years ago

kogti [31]

Answer:

Step-by-step explanation:

$no \: of \: girls = \frac{4}{5 + 4} \times 36 \\ \\ = \frac{4}{9} \times 36 \\ \\ = 4 \times 4 \\ \\ = 16$

6 0

2 years ago

Read 2 more answers

Type ALL the steps of writing the equation of the line given the slope of the line is −4 and a point on the line is (−2,1).

Mars2501 [29]

Answer:

y = -4x - 7

Step-by-step explanation:

we use the slope intercept formula given by; y = mx + b

b = y intercept, which is when x = 0

m = slope

so they tell us the slope.. we just need to find b - the y intercept.

y = mx + b

plug in your coordinates (-2,1)

1 = -4(-2) + b

1 = 8 + b

1 - 8 = b

-7 = b

put it all together.

y = -4x - 7

3 0

2 years ago