10lb bag of potatoes or $5.50 or 15lb bag of potatoes for $8.40 which is a better deal

Which phrase correctly describes the solution to the quadratic equation?

otez555 [7]

Answer:

Step-by-step explanation:

hello :

2x² + 25 = -x² + 10x

2x²+x²-10x+25 =0

3x²-10x+25=0

∆ = b²- 4ac a=3 and b=-10 and c=25

∆ = (-10)²- 4(3)(25)=100 -300 = -200< 0

two complex solutions

7 0

2 years ago

Twenty percent of drivers driving between 10 pm and 3 am are drunken drivers. In a random sample of 12 drivers driving between 1

Lesechka [4]

Answer:

(a) 0.28347

(b) 0.36909

(c) 0.0039

(d) 0.9806

Step-by-step explanation:

Given information:

n=12

p = 20% = 0.2

q = 1-p = 1-0.2 = 0.8

Binomial formula:

$P(x=r)=^nC_rp^rq^{n-r}$

(a) Exactly two will be drunken drivers.

$P(x=2)=^{12}C_{2}(0.2)^{2}(0.8)^{12-2}$

$P(x=2)=66(0.2)^{2}(0.8)^{10}$

$P(x=2)=\approx 0.28347$

Therefore, the probability that exactly two will be drunken drivers is 0.28347.

(b)Three or four will be drunken drivers.

$P(x=3\text{ or }x=4)=P(x=3)\cup P(x=4)$

$P(x=3\text{ or }x=4)=P(x=3)+P(x=4)$

Using binomial we get

$P(x=3\text{ or }x=4)=^{12}C_{3}(0.2)^{3}(0.8)^{12-3}+^{12}C_{4}(0.2)^{4}(0.8)^{12-4}$

$P(x=3\text{ or }x=4)=0.236223+0.132876$

$P(x=3\text{ or }x=4)\approx 0.369099$

Therefore, the probability that three or four will be drunken drivers is 0.3691.

(c)

At least 7 will be drunken drivers.

$P(x\geq 7)=1-P(x$

$P(x\leq 7)=1-[P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)+P(x=6)]$

$P(x\leq 7)=1-[0.06872+0.20616+0.28347+0.23622+0.13288+0.05315+0.0155]$

$P(x\leq 7)=1-[0.9961]$

$P(x\leq 7)=0.0039$

Therefore, the probability of at least 7 will be drunken drivers is 0.0039.

(d) At most 5 will be drunken drivers.

$P(x\leq 5)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)$

$P(x\leq 5)=0.06872+0.20616+0.28347+0.23622+0.13288+0.05315$

$P(x\leq 5)=0.9806$

Therefore, the probability of at most 5 will be drunken drivers is 0.9806.

5 0

2 years ago

Hi do any of you know how to do this?

Oksi-84 [34.3K]

Answer: yes, it's a quadratic equation, the formula is x = −b ± √(b2 − 4ac) 2a. a=8m2 b=-2m and c =0. This only works if the other side is 0. The answer would be m=1!!!!! can i plz get a brainliest!

Step-by-step explanation:

7 0

2 years ago

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Help!! It’s urgent I need help

Fittoniya [83]

7cm²+5cm²=10cm²

14cm+25cm=100cm

39=100

8 0

1 year ago

BRAINLIEST TO FIRST RIGHT!!!!!!!!!!!<br> oof, all caps lol:)

Murljashka [212]

Answer:

x^2 = 121

x = 11 Im wanting brainliest

Step-by-step explanation:

6 0

2 years ago

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10lb bag of potatoes or $5.50 or 15lb bag of potatoes for $8.40 which is a better deal​

10lb bag of potatoes or $5.50 or 15lb bag of potatoes for $8.40 which is a better deal