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lions [1.4K]
3 years ago
10

Help me plz

Mathematics
2 answers:
Sindrei [870]3 years ago
8 0
96 seconds because if it shoots out 1/3 of a gallon per second we have to multiply that by 3. so it takes 3 seconds per gallon. so 3x32 is 96
gulaghasi [49]3 years ago
4 0

Answer:

It will take 96 seconds to empty the bucket.

Step-by-step explanation:

To answer this all you have to do is divide 32 by 1/3. To do this you first have to turn 32 into and improper fraction by changing it into 31 3/3 and then multiplying 31 times 3 (93) and then adding 3, which gives you 96 so you get 96/3. You also have to change the division sign into a multiplication sign while also flipping 1/3 so its 3/1. Now you have to cross cancel and since the 3 in 96/3 can go into the 3 in 3/1 once, the 96/3 changes into 96/1 and the 3/1 changes into 1/1. Now you can multiply so 96 times 1 is 96 and 1 times 1 is 1 so you get 96/1 which is basically just 96 so your answer is that it will take 96 seconds to empty the bucket.

I hope this helps you :D

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-3x + 7x-8 = 34 + 9x - 2
zvonat [6]

Answer:

-8

Step-by-step explanation:

First combine like terms:

4x-8=32+9x

-40=5x

-8=x

8 0
3 years ago
Read 2 more answers
Solve the system by substitution.<br>3x-6y=2<br>4x+3y=-1​
crimeas [40]

Answer:

y = -1/3

x = 0

Step-by-step explanation:

3x-6y = 2    then 3x = 2+6y,   x=(2+6y)/3

4x+3y = -1

substitute for x

4(2/3+2y)-6y = 2

8/3+8y-6y = 2

reduce

2y = 2-8/3

2y = -2/3

divide both sides by 2

y = -1/3

4x+3(-1/3) = -1

4x = 0

x = 0

8 0
3 years ago
Luisa and Connor had $360 altogether . After Connor gave Luisa 2/5 of his money, she had the same amount of money has he did. Ho
Liula [17]

Answer:

$300

Step-by-step explanation:

Let's say that L is the amount of money Luisa had in the beginning, and C is the amount of money Connor had in the beginning.

C + L = 360

C - 2/5 C = L + 2/5 C

Simplifying the second equation:

3/5 C = L + 2/5 C

1/5 C = L

Substituting into the first equation:

C + 1/5 C = 360

6/5 C = 360

C = 300

Connor originally had $300, and Luisa $60.  Connor gave Luisa $120, and they both had $180.

8 0
3 years ago
Solve for x: -6 &lt; x - 1 &lt; 9
Shkiper50 [21]

Answer:

x = (-5,10)

Step-by-step explanation:

4 0
3 years ago
A sample of 26 offshore oil workers took part in a simulated escape exercise, and their escape time (unit: second) were observed
Anuta_ua [19.1K]

Answer:

t=\frac{370.69-360}{\frac{24.36}{\sqrt{26}}}=2.238  

The degrees of freedom are given by:

df = n-1= 26-1=25

And the p value would be:

p_v =P(t_{25}>2.238)=0.0172  

If we use a 5% of significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 360 second or 6 minutes. We need to be careful since if we use a significance level of 1% the result change

Step-by-step explanation:

Information given

\bar X=370.69 represent the sample mean

s=24.36 represent the sample standard deviation

n=26 sample size  

\mu_o =6*60 =360 s represent the value to verify

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to check if the true mean is at most 360 seconds, the system of hypothesis would be:  

Null hypothesis:\mu \leq 360  

Alternative hypothesis:\mu > 360  

The statistic for this case would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

We can replace in formula (1) the info given like this:  

t=\frac{370.69-360}{\frac{24.36}{\sqrt{26}}}=2.238  

The degrees of freedom are given by:

df = n-1= 26-1=25

And the p value would be:

p_v =P(t_{25}>2.238)=0.0172  

If we use a 5% of significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 360 second or 6 minutes. We need to be careful since if we use a significance level of 1% the result change

4 0
3 years ago
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