Solve for kx+ 3x= 4 for x

Convert the polar representation of this complex number into its rectangular form: z=4(cos150°+ i sin150°) *the i before sin is

Charra [1.4K]

Use z=a+bi=|z|(cos (theta)+i sin(theta)) to find the complex number solutions. z0=z0= -2sqrt3 + 2i

6 0

3 years ago

Read 2 more answers

Which model best fits the data shown in the scatterplot?

KengaRu [80]

Answer:

A. y = -0.7x + 1.9

Step-by-step explanation:

The y-intercept is roughly +2 as you can see from the scatterplot therefore ⇒ Not option C or D [both of which are negative]
The slope is slanted from top left to right bottom [meaning the slope is negative] ⇒ Not B
The correct option is A

8 0

3 years ago

Draw a diagram for this statement

nikitadnepr [17]

64 of the 320 students do not like sports
80% of 320 is 256
Therefore 20% is 64

5 0

3 years ago

Assume that X is a binomial random variable with n = 27 and p = 0.90. Calculate the following probabilities. (Do not round inter

Yuki888 [10]

Answer:

a) $P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

b) $P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

c) $P(X=25) = 27C25 (0.9)^{25} (1-0.9)^{27-25}= 0.2520$

$P(X=26) = 27C26 (0.9)^{26} (1-0.9)^{27-26}= 0.1744$

$P(X=27) = 27C27 (0.9)^{27} (1-0.9)^{27-27}= 0.0582$

And addind the values we got:

$P(X\geq 25)= P(X=25)+P(X=26)+P(X=27)=0.2520+0.1744+0.0582=0.4846$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=27, p=0.9)$