Given,
The expression is:
By using the middle term splitting method,
Hence, the factor is (x-(7+sqrt(33)/4)) (x+(7+sqrt(33)/4)).
Answer:
p = 0.07
p-hat = 0.035
p0 = 0.07
p-value = 0.003
Step-by-step explanation:
p = population parameter, in this case, the rate of infestations across all trees in the forest
p-hat = test statistic, in this case, the rate of infestations found in the sample of trees, i.e. those in Doug's backyard
p0 = the null hypothesis, in this case, the rate of infestations within the forest is correctly evaluated at 0.07 or 7%
p-value = the likelihood any difference between p and p-hat is down to chance
In this case 0.003 as the p-value means there is only 0.3% probability of our statistic value of 0.035 being down to variability and chance meaning it is 99.7% likely that there is some reason behind this difference;
We would accept the alternative hypothesis which says the current parameter value, 0.07, is in fact incorrect (either too high or too low, in this case, likely too high).
The graph represents y=-4x-1
If you notice the line, it goes past the -1 on the y axis which indicates that the y intercept is -1 since that was the only choice which displayed this, we know that our answer is y=-4x-1
Answer:
63 degrees
Step-by-step explanation:
add 4x + 23 and 6x + 7, then equal that to 130. When you find x, plug it into 4x+23 and get 63.
The discriminant is
which is 0.
Since the discriminant is 0, there is only one real solution.
