Answer:
15 units
Step-by-step explanation:
In algebra, when adding constants (non variable numbers) to a linear function shifts up. Similarly, when subtracting them, the graph shifts down. Here, the graph of g(x) shifts up f(x) by 15 units, because 3x-7+15 = 3x+8.
The equivalent equation is
The solution are
Explanation:
Given that the equation is
Simplifying the equation, we get,
Switch sides, we have,
<u>Equivalent equation:</u>
Let us factor the quadratic equation.
Thus, we have,
Grouping the terms, we get,
Factoring out (x+5), we get,
Thus, the equivalent equation is
<u>Solution:</u>
Solving the equation , we get,
and
and
Thus, the solutions are and
Answer:
38000
Step-by-step explanation:
Did assignment
Answer:
The calculated χ² = <u> 0.842 </u> does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
<u />
Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: p1= 5/18, p2= 4/18, p3= 9/18
against the claim
Ha: p1≠ 5, p2≠ 4, p3≠ 9
2) the significance level alpha is set at 0.05
3) the test statistic under H0 is
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
which has an approximate chi square distribution with 2 d.f
4) Computations:
Observed Expected χ²= ∑ (O - E)²/ E
5 5.4 0.0296
4 5.4 0.3629
<u>9 7.2 0.45 </u>
<u>∑ 0.842 </u>
<u />
5) The critical region is χ² ≥ χ² (0.05)2 = 5.99
6) Conclusion:
The calculated χ² = <u> 0.842 </u> does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
<u />
Answer:
can you give me more details or is that all the quetion tells you
Step-by-step explanation: