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3 years ago

What is the sum of the solutions of the 2 equations? 4x = 12 & 2y + 10 = 22

Mathematics

1 answer:

KengaRu [80]3 years ago

4 0

Answer:

x = 3 & y = 6

Step-by-step explanation:

4x = 12

12/4 = 3

x = 3

2y + 10 = 22

22 - 10 = 12

12/2 = 6

y = 6

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467.4 + 0.492 =<br><br>PLS HELP

ratelena [41]

Answer:

467.892

Step-by-step explanation:

467.4+0.492 =467.892

3 0

3 years ago

Read 2 more answers

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

(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

3 years ago

Assume that Brad makes an initial investment of $2,000. Use your formula to find the final balance of the savings account after

svetlana [45]

Answer:

The formula is 2000 x (1 + Rate/100)^15

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3 years ago

Josh earned $80 to use for back-to-school shopping. So far he has spent $24 on a backpack and $32 on new shoes. Think abt the yo

Lady_Fox [76]

Answer:

24$

Step-by-step explanation:

$80 - $32 - $24 = $24

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3 years ago

Explain how to use the combine values strategy to find 223-119

stich3 [128]

223
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In stead of doing 3-9 and 2-1 do 23-19 then 2-1

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3 years ago