We can represent the Rambutan as x-4+2x or 3x-4 because it costs 2x dollars more than the Dragonfruit.
We can represent the Starfruit as 3x-4-5 or 3x-9 because it costs 5 dollars less than the Rambutan
Therefore the overall equation would be:
(3x-4)+2(3x-9)+3(x-4) (distribute)
3x-4+6x-18+3x-12 (combine like terms)
12x-34
Hope this helps
270/15 = 135/ 7.5
cross multiply to see if it is a true proportion
(15)(135) = (270)(7.5)
2025 = 2025 (correct...so this is a true proportion)
answer is : bottom right one
Answer:
Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have
and for the denominator we have
and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:
For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different
Step-by-step explanation:
Information given
represent the sampe size 1
represent the sample 2
represent the sample deviation for 1
represent the sample variance for 2
represent the significance level provided
The statistic is given by:
Hypothesis to test
We want to test if the variations in terms of the variance are equal, so the system of hypothesis are:
H0:
H1:
The statistic is given by:
Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have
and for the denominator we have
and the F statistic have 15 degrees of freedom for the numerator and 15 for the denominator. And the P value is given by:
For this case the p value is highert than the significance level so we haev enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviations are not significantly different
Given the polynomial expression:
(y + 5)²
(y - 5)(y + 5)
Let's simplify each of the given expression:
a.) (y + 5)²
The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.

We get,


b.) (y - 5)(y + 5)
To be able to simplify the following expression. We will be using the formula for the difference of two squares.

We get,
