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Pachacha [2.7K]
3 years ago
7

What is the discriminant for 5x^2 + x - 2 =0

Mathematics
1 answer:
Lelu [443]3 years ago
4 0

Answer:

41

Step-by-step explanation:

by using formula D = b² – 4ac, we get

D = 1² – 4(5)(–2) = 41

You might be interested in
3x + 45= 60 solve for x
dedylja [7]

Answer:

x=5

Step-by-step explanation:

3x + 45 = 60

      -45   -45

3x = 15

15 ÷ 3= 5

x= 5

-I hope this helps have a great day!

8 0
3 years ago
According to an​ article, 47​% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly select
In-s [12.5K]

Answer:

a) P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228

b) P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033

And replacing we got:

P(X \geq 1)= 1-P(X

c) P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257

P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228

P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135

And adding we got:

P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620

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=9, p=0.47)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Assuming the following questions:

a. exactly five

For this case we can use the probability mass function and we got:

P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228

b. at least one

For this case we want this probability:

P(X \geq 1)

And we can use the complement rule and we got:

P(X \geq 1)= 1-P(X

P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033

And replacing we got:

P(X \geq 1)= 1-P(X

c. between four and six, inclusive.

For this case we want this probability:

P(4 \leq X \leq 6)

P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257

P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228

P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135

And adding we got:

P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620

6 0
3 years ago
A equation to determine the number of minutes(t) that Raymond was on the trampoline
gtnhenbr [62]

Answer: t=43.25-7/1.25=29 minuets

Step-by-step explanation:

he spent $43.25. he had to pay $7 first to get in. then for each minuet had to pay 1.25.

8 0
3 years ago
Read 2 more answers
-3(n+5)=-21what is ghe answer<br><br>​
charle [14.2K]
-3n-15=-21
-3n=-6
n=-2
6 0
3 years ago
Help me i nedd help...........
VMariaS [17]

Answer:

The answer is 10 12/85    Hope you pass!

4 0
3 years ago
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