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IRINA_888 [86]
2 years ago
14

Johan's water bottle holds 4.2L of water. Johan has drank 51% of water in the bottle. How much, in litres, has he drunk?

Mathematics
2 answers:
swat322 years ago
8 0

Answer : 2.142L

Step-by-step explanation:

51/100 × 4.2

=51/100 × 42/10

= 2142/1000

= 2.142L

Jobisdone [24]2 years ago
4 0

Answer:

<h2>2.142 L</h2>

Step-by-step explanation:

Total Volume = 4.2L = 4200 ml

Amount Drunk = 51%

How much did Johan drink = 51% of 4200 ml

\frac{51}{100}  \times 4200 \\  =  \frac{51 \times 42}{1}  \\  = 2142

2142 ml = 2.142 L

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2 years ago
Fluoxetine, a generic anti-depressant, claims to have, on average, at least 20 milligrams of active ingredient. An independent l
san4es73 [151]

Answer:

t=\frac{18.7-20}{\frac{5}{\sqrt{80}}}=-2.326    

df=n-1=80-1=79  

p_v =P(t_{(79)}  

Step-by-step explanation:

Information given

\bar X=18.7 represent the sample mean for the content of active ingredient

s=5 represent the sample standard deviation for the sample  

n=80 sample size  

\mu_o =20 represent the value that we want to test

t would represent the statistic

p_v represent the p value for the test

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean for the active agent is at least 20 mg, the system of hypothesis would be:  

Null hypothesis:\mu \geq 20  

Alternative hypothesis:\mu < 20  

The statistic would be:

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

Now we can calculate the statistic:

t=\frac{18.7-20}{\frac{5}{\sqrt{80}}}=-2.326    

P value

The degrees of freedom are calculated like this:

df=n-1=80-1=79  

Since is a one left tailed test the p value would be:  

p_v =P(t_{(79)}  

6 0
3 years ago
What is the reason for each step in the solution of the inequality?<br><br> −2(x+3)−4&gt;4x+30
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You would have to first distribute the -2 to the x+3 which gives you -2x-6.  Then you would subtract the 4 which gives you -2x-10 on the left side.  Now you have the equation -2x-10>4x+30.  Move the 4x to the other side giving you         -6x-10>30.  Now add the 10 from the other side which leaves you with -6x>40.  Now remember when you divide by a negative in an inequality, you HAVE TO flip the sign giving you the answer of x<-20/3.

5 0
3 years ago
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Abby's friend told her that he drew a quadrilateral with exactly one pair of parallel sides. Abby said it must be a trapezoid. I
Ratling [72]

Answer:

Yes, she is correct

Step-by-step explanation:

A trapezoid has exactly one pair of parallel lines and 4 sides

8 0
2 years ago
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A school bought pens, each costing $1, and pencils, each costing $0.5. The cost of the whole purchase was $220. How many pens an
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Answer:

<u>The number of pens = 120 and the number of pencils = 200</u>

Step-by-step explanation:

Let the number of pens x, and the number of pencils is y

the cost of one pen $1, and the cost of one pencil $0.5

The cost of the whole purchase was $220

1 * x + 0.5 * y = 220

x + 0.5 y = 220 ⇒ eq.(1)

there were 80 more pencils than pens

y - x = 80 ⇒ eq.(2)

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x = y - 80 = 200 - 80 = 120

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7 0
3 years ago
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