Find the equation of the line. Use exact numbers.

The coefficients of the expression 3x^4-6x^3+x^2 are ____.

Effectus [21]

its a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

so 3,6,1

3 0

3 years ago

WILL MAKE BRAINLIEST write the slope intercept form of the equation of each line

katrin [286]

Answer:

3. y = -3x + 2

4. y = 3x - 5

Step-by-step explanation:

Slope-intercept form equation is given as y = mx + b.

3. First, using two points on the line, (0, 2) and (1, -1), find the slope (m).

Slope (m) = change in y / change in x = (-1 - 2)/(1 - 0) = -3/1

m = -3

Find the y-intercept (b):

The y-intercept (b) = 2 (this is where the line intercepts the y-axis)

b = 2

✅To write the equation, substitute m = -3 and b = 2 into y = mx + b

Thus:

y = -3x + 2

4. Using two points on the line, (2, 1) and (0, -5), find the slope (m).

Slope (m) = change in y / change in x = (-5 - 1)/(0 - 2) = -6/-2 = 3

m = 3

Find the y-intercept (b):

The y-intercept (b) = -5 (this is where the line intercepts the y-axis)

b = -5

✅To write the equation, substitute m = 3 and b = -5 into y = mx + b

Thus:

y = 3x + (-5)

y = 3x - 5

4 0

3 years ago

An instructor gives a class a set of 10 problems and says that the nal exam will consist of a random selection of 5 of the probl

sweet-ann [11.9K]

Answer:

probability that he or she will answer at least 4 problems correctly = 0.5

Step-by-step explanation:

probability that he or she will answer at least 4 problems correctly is given as;

P (at least 4 correctly) = P (exactly 4 correctly) + P (all 5 correctly)

Since there are 10 problems. 4 is from the 7 problems chosen and 1 is from the 3 problems we can't figure out. Thus, P(exactly 4 correctly) = 7C4 x 3C1

Thus, P (at least 4 correctly) = [ (7C4) x (3C1) ] / (10C5)] + [(7C5)/(10C5)]

= [(35 x3)/252 ] + [21/252]

= [ 105/252 ] + [ 21/252 ]

= 126 / 252

= 0.5

8 0

3 years ago

g A psychic was tested for extrasensory perception (ESP). The psychic was presented with cards face down and asked to determine

diamong [38]

Answer:

Step-by-step explanation:

Hello!

The objective is to test ESP, for this, a psychic was presented with cards face down and asked to determine if each of the cards was one of four symbols: a star, cross, circle, square.

Be X: number of times the psychic identifies the symbols on the cards correctly is a size n sample.

p the probability that the psychic identified the symbol on the cards correctly

You have to calculate the sample size n to estimate the proportion with a confidence level of 95% and a margin of error of d=0.01

The CI for the population proportion is constructed "sample proportion" ± "margin of error" Symbolically:

p' ± $Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )$

Where $d= Z_{1-\alpha /2} * (\sqrt{\frac{p'(1-p')}{n} } )$ is the margin of error. As you can see, the formula contains the sample proportion (it is normally symbolized p-hat, in this explanation I'll continue to symbolize it p'), you have to do the following consideration:

Every time the psychic has to identify a card he can make two choices:

"Success" he identifies the card correctly

"Failure" he does not identify the card correctly

If we assume that each symbol has the same probability of being chosen at random P(star)=P(cross)=P(circle)=P(square)= 1/4= 0.25

Let's say, for example, that the card has the star symbol.

The probability of identifying it correctly will be P(success)= P(star)= 1/4= 0.25

And the probability of not identifying it correctly will be P(failure)= P(cross) + P(circle) + P(square)= 1/4 + 1/4 + 1/4= 3/4= 0.75

So for this experiment, we'll assume the "worst case scenario" and use p'= 1/4 as the estimated probability of the psychic identifying the symbol on the card correctly.

The value of Z will be $Z_{1-\alpha /2}= Z_{0.975}= 1.96$