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3 years ago

❤️ i need this last question

Mathematics

1 answer:

spayn [35]3 years ago

4 0

Answer: $10\left(\cos90^{\circ}+i\sin90^{\circ}\right)$

Step-by-step explanation:

Given

The complex number is $z_1=0+10i$

Complex number in polar form is given by

$z=r\left(\cos \theta +i\sin \theta\right)$

Compare it with the given complex number

$r=10$ and $\sin \theta=1$ which implies $\theta$ must be $90^{\circ}$

So, in the polar form, it is

$z_1=10\left(\cos90^{\circ}+i\sin90^{\circ}\right)\\z_1=10e^{i\frac{\pi}{2}}$

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What is the value of x to the nearest tenth? 3.1 4.8 5.4 3.5

Tanya [424]

Answer:

5.4

Step-by-step explanation:

I am not really sure about this type of problem, but a diameter has to cross the midpoint of the circle the dark dot and hit two point on both side of the circle. Yet the line 9.6 is not a diameter since it didn't go through the center, so the diameter has to be longer than 9.6. But x is looking for radius. so divide 9.6 by 2 u get 4.8 but that is not a diameter and the real diameter is longer that mean the radius is longer so the only answer is 5.4

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3 years ago

Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes

lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 680 trials

r = number of success

p = probability of success which in our question is 0.55

So, it means X ~ $Binom(n=680, p=0.55)$

Now, we have to find the mean and standard deviation of the given binomial distribution.

Mean of Binomial Distribution is given by;

E(X) = n $\times$ p

So, E(X) = 680 $\times$ 0.55 = 374

Standard deviation of Binomial Distribution is given by;

S.D.(X) = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{680 \times 0.55 \times (1-0.55)}$

= $\sqrt{680 \times 0.55 \times 0.45}$ = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

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3 years ago

The finance department at a regional toy company has been tracking the income and costs of a new line of dolls. They have determ

romanna [79]

Answer:

q#1 Option B.2 possible solution is correct option

Q#2 option c. 1 viable solution is correct option.

Step-by-step explanation:

Q#1

y=4+3x+45

as this is a quadratic solution

and we know that when we solve a quadratic equation then it gives two possible solutions

hence option b is the correct option

Q#2

option c is correct option when we solve an quadratic equation it gives two solution one is positive and other is negative as we know that income cannot be negative

hence only one viable solution exists when we solve this

y=4+3x+45 quadratic equation

Read more on Brainly.com - brainly.com/question/9837160#readmore

Step-by-step explanation:

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ludmilkaskok [199]

He will use 33 containers because 9 goes into 296 32.8 times but you cant have .8 of a container so you round it up to 33

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3 years ago

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KiRa [710]

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