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Sophie [7]
3 years ago
11

I need help :/ i have five questions

Mathematics
1 answer:
IrinaK [193]3 years ago
5 0

Answer:


Step-by-step explanation:

1. The given equation is:

\frac{3}{5}{\times}\frac{4}{5}

Multiplying both the terms, we get

\frac{12}{25}

Option A is correct.

2. The given equation is:

2\frac{1}{3}{\times}\frac{3}{4}

Converting the improper fraction into the mixed fraction,

\frac{7}{3}{\times}\frac{3}{4}

=\frac{7}{4}

Option C is correct.

3. The given equation is:

\frac{3}{16}{\times}\frac{4}{21}

Multiplying both the terms, we get

=\frac{1}{28}

4. The given equation is:

3\frac{8}{9}{\times}4\frac{4}{5}

Converting the improper fraction into the mixed fraction,

\frac{35}{9}{\times}\frac{24}{5}

=\frac{56}{3}

5. One package contains= 5\frac{1}{4}=\frac{21}{4} pounds of raisins.

4\frac{2}{3} packages contains=4\frac{2}{3}{\times}5\frac{1}{4} pounds of raisins.

=\frac{14}{3}{\times}\frac{21}{4}

=\frac{49}{2}

Therefore, the baker used \frac{49}{2} pounds of raisins.

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Answer: 0 \ \textless \  x \le 8

What is given to you is interval notation. We have the interval start at 0 and end at 8. The value 0 is not included in the interval as indicated by the parenthesis. So we go with a "less than" sign (instead of a "less than or equal to" sign)

The value 8 is included since a square bracket is used here. The use of "or equal to" is needed to make sure the endpoint 8 is included.

So x can be any number between 0 and 8. It can't be 0 but it can be 8. 
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Read 2 more answers
A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi
Luden [163]

Answer:

Null hypothesis:\mu \leq 3.3  

Alternative hypothesis:\mu > 3.3  

z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768  

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

p_v =P(z>1.768)=0.039  

Step-by-step explanation:

Data given and notation

\bar X=3.4 represent the sample mean  

\sigma=0.4 represent the population deviation for the sample

n=50 sample size  

\mu_o =3.3 represent the value that we want to test  

\alpha 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 to be tested  

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:  

Null hypothesis:\mu \leq 3.3  

Alternative hypothesis:\mu > 3.3  

Compute the test statistic  

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

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

z-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".  

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

z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768  

P value

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

p_v =P(z>1.768)=0.039  

6 0
3 years ago
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