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Papessa [141]
3 years ago
13

Samantha is making soup. to make the broth, she combines 2/5 cup of vegetable stock and 2/3 cup of chicken soup stock. Boiling

the broth causes 1/4 cup of the liquid to evaporate. How much broth is left after it is boiled?
Mathematics
2 answers:
klasskru [66]3 years ago
8 0
Add 2/5 + 2/3, but first change the fractions so that they have an equal denominator. Since 3 and 5 (the denominators) both have 15 in common lets multiply 2/5 by 3/3 which gets you 6/15. 2/3 x 5/5 equals 10/15. 6/15 + 10/15= 16/15. Don't change 16/15 into a mixed number yet we still have to subtract 1/4 cup of liquid (after it's boiled) from the total amount of liquid (before it's boiled): 16/15. 16/15 and 1/4 don't have the same denominator, we're going to have to change that. 15 and 4 both have 60 in common. So now let's multiply 1/4 by 15/15 which equals 15/60. Now we're going to change 16/15 by multiplying it by 4/4 which equals 64/60. Finally, we're going to subtract 64/60 - 15/60=49/60.49/60 cups of broth is left after its boiled.
storchak [24]3 years ago
6 0
First,you do,2/5+2/3,but since you will need a common denominator,you will find the least common denominator for 5 and 3.The LCD(Least Common Denominator) will be 15 since both 5 and 3 could go in 15.Now,the equation looks like this: 2/15+2/15 since whatever you do to the bottom numbers,you NEED to do to the top numbers:2 and 2.Now you will need to do,2x3,since 5x3=15 and the answer to 2x3=6 then you do 2x5,since 3x5=15 the answer is 10 now the equation looks like this:6/15+10/15 now you add them together,and the answer will be 16/15 and if you want the answer to be a mixed number,it would look like this: 1 1/15. Hope this helps!
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Answer:

y=1/2x+5

Step-by-step explanation:

y=mx+b

m is slope so the slope is 1/2.

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X=-12

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In 2008, the average household debt service ratio for homeowners was 13.2. The household debt service ratio is the ratio of debt
ankoles [38]

Answer:

t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436    

df=n-1=44-1=43  

p_v =P(t_{(43)}>1.436)=0.079  

We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).

Step-by-step explanation:

Information given

\bar X=13.88 represent the sample mean

s=3.14 represent the sample standard deviation

n=44 sample size  

\mu_o =13.2 represent the value that we want to test

\alpha=0.05 represent the significance level

t would represent the statistic (variable of interest)  

p_v represent the p value for the test

Hypothesis to test

We want to conduct a hypothesis in order to check if the true mean has increased from 2008 , and the system of hypothesi are:  

Null hypothesis:\mu \leq 13.2  

Alternative hypothesis:\mu > 13.2  

The statistic for this case is:

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

Calculating the statistic

Replacing the info given we got:

t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436    

P-value

The degrees of freedom are:

df=n-1=44-1=43  

Since is a right tailed test the p value is:  

p_v =P(t_{(43)}>1.436)=0.079  

Decision

We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).

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3 years ago
In a card game, you gave 3 cards. These 3 cards add up to positive 6 and multiply to be negative 64. What are the 3 cards in you
Dafna11 [192]
The values of the cards are +8,+2, and -4.

8+2-4=6

8 x 2 x -4 = -64
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3 years ago
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The weatherman predicts a 20% chance of rain on Thursday. If it rains, there is a 10% chance that your roof will leak. (If it do
andrew11 [14]

Answer:

2%

Step-by-step explanation:

Probability of rain, P(R) = 0.2

Probability of leak Given that it rains, P(L|R) = 0.1

Probability of leak Given that it does not rain, P(L|R') = 0

According to Baye's Rule:

P(L) = [P(L|R) * P(R)] + [P(L|R') * P(R')]

P(R') = 1 - P(R) = 1 - 0.2 = 0.8

P(L) = [0.1 * 0.2] + [0 * 0.8]

P(L) = 0.02 + 0

P(L) = 0.02

Hence, probability of a roof leak on Thursday is 0.02 = (0.02 * 100%) = 2%

4 0
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