What we need to know is how much is 1/3 of 25 2/5.
We will be multiplying fraction by a fraction and for this, it's good to change mixed numbers into improper fractions:
25 2/5=
and now we multiply it by 1/3:
and that's the answer: the basketball equipment weights 7 4/5 pounds.
A rational number is a number that can be expressed as a fraction, therefore all integers are rational numbers
Answer:
And on this case if we see the significance level given 
we see that 
so we fail to reject the null hypothesis that the observed outcomes agree with the expected frequencies at 10% of significance.
Step-by-step explanation:
A chi-square goodness of fit test determines if a sample data obtained fit to a specified population.
represent the p value for the test
O= obserbed values
E= expected values
The system of hypothesis for this case are:
Null hypothesis: ![O_i = E_i[/tex[Alternative hypothesis: [tex]O_i \neq E_i](https://tex.z-dn.net/?f=O_i%20%3D%20E_i%5B%2Ftex%5B%3C%2Fp%3E%3Cp%3EAlternative%20hypothesis%3A%20%5Btex%5DO_i%20%5Cneq%20E_i%20)
The statistic to check the hypothesis is given by:
On this case after calculate the statistic they got: 
And in order to calculate the p value we need to find first the degrees of freedom given by:
, where k represent the number of levels (on this cas we have 10 categories)
And in order to calculate the p value we need to calculate the following probability:
And on this case if we see the significance level given we see that so we fail to reject the null hypothesis that the observed outcomes agree with the expected frequencies at 10% of significance.
Answer:
$1920
Step-by-step explanation:
Original amount: £1200 x Simple interest rate: 0.2 x number of years: 3 = 720
Add Original onto simple interest
£1200 + £720 = £1920
Total Cost of personal loan after 3 years = £1920
Answer:
(−∞,+∞)
Step-by-step explanation:
The cotangent function can take up any values depending on the value of
x
, the independent variable.
And thus, the range
(
−
∞
,
+
∞
)
is justified.
The domain is all real numbers other than integral multiples of
π
where, the function is not defined.
