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3 years ago

Use the discriminant to determine the nature of the roots of the following questions

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

6 0

Answer:

the function has two distinct real roots.

Step-by-step explanation:

D=b²-4ac

D<0 No real roots

D=0 One real root

D>0 Two distinct real root.

(-5)²-4*1*-3

25+12

Since D is > than 0, the function has two distinct real roots.

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atroni [7]

The answer is B there you go have a nice day

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2 years ago

A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side an

allochka39001 [22]

Answer:

Step-by-step explanation:

A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?

Given that:

Number of cards = 4

x = Black on both sides = 1

y = Red on both sides = 1

z = Black on one side, red on one side = 2

.i) If the side you see is black, what is the probability that the other side is black = b

Probability of black

P(x) = 1/4 ; p(b|x) = 1

P(y) = 1/4 ; p(y|x) =

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2 years ago

Which of the fractions listed below are equal to 2⁄3?6⁄91⁄33⁄24⁄61⁄6

Usimov [2.4K]

6 / 9 = 2/3 ( since dividing top and bottom be 3 gives 2/3)

Also 4/6 = 2/3

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3 years ago

Use the Distributive Property to write each expression as an equivalent algebraic expression.

xxMikexx [17]

Answer:

21 + 3a

Step-by-step explanation:

3 (7+a)

distribute 3 into parentheses:

21 + 3a

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2 years ago

Read 2 more answers

The head of the Westlane Cultural Center wants to get a sense of how quickly pledges from donors arrive at the center. It takes

Rzqust [24]

Answer:

95.64% probability that pledges are received within 40 days

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 28, \sigma = 7$

What is the probability that pledges are received within 40 days

This is the pvalue of Z when X = 40. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{40 - 28}{7}$

$Z = 1.71$

$Z = 1.71$ has a pvalue of 0.9564

95.64% probability that pledges are received within 40 days

7 0

3 years ago