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AlladinOne [14]
3 years ago
14

How well do you know your fractions? if maria has a cake with 8 slices and she eats 3 slices, what fraction of the cake is left?

Mathematics
2 answers:
sineoko [7]3 years ago
8 0
The answer is only 5/8 slices of cake is left. Hoped this helped!
Sliva [168]3 years ago
5 0

When an object is divided into a number of equal parts then each part is called a fraction. A proper fraction has numerator and denominator mutually prime.

The amount of cake maria has is 8X. X is some positive real number.

She eats 3 slices, then the amount of cake left with Maria is 8X-3X=5X.

The fraction of cake left with Maria is \frac{5X}{8X}= \frac{5}{8}.

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Roughly about 3:17 . Hope I helped!
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Write an equation of the line that passes through the given point and is perpendicular to the given line (-6,-4); y=1/3x+1
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y=−3x−22

Step-by-step explanation

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3 years ago
Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and
Brums [2.3K]

Answer:

t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349      

p_v =P(t_9>10.349)=1.34x10^{-6}  

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.

Step-by-step explanation:

1) Data given and notation      

\bar X=51.6 represent the sample mean

s=1.1 represent the standard deviation for the sample      

n=10 sample size      

\mu_o =48 represent the value that we want to test    

\alpha=0.05 represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the mean score is higher than 48, the system of hypothesis would be:      

Null hypothesis:\mu \geq 48      

Alternative hypothesis:\mu > 48      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

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

t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349      

Calculate the P-value      

First we find the degrees of freedom:

df=n-1=10-1=9

Since is a one-side upper test the p value would be:      

p_v =P(t_9>10.349)=1.34x10^{-6}  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.        

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if thats not what you want then you gotta elaborate

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