Answer:
To find the number of genuine solutions for a system of equations consisting of a linear equation and a quadratic equation
1) With two variables, say x and y, rearrange the linear equation to express y, then substitute this y in the quadratic equation
After that, simplify the resulting equation and determine the number of real roots utilizing the quadratic formula, 
for equations of the type 0 = a·x² - b·x + c.
When b² exceeds 4·a·c, two real solutions emerge; if b² equals 4·a·c, there will be a single solution.
Step-by-step explanation:
Response:
Step-by-step breakdown:
For the null hypothesis,
H0: p = 88
For the alternative hypothesis,
Ha: p < 88
In terms of population proportion, where the probability of success is p = 0.88
q represents the probability of failure = 1 - p
q = 1 - 0.88 = 0.12
Considering the sample,
Sample proportion, P = x/n
Where
x = number of successes = 21
n = total samples = 32
P = 21/32 = 0.66
Next, we determine the test statistic, which represents the z-score
z = (P - p)/√pq/n
z = (0.66 - 0.88)/√(0.88 × 0.12)/32 = - 3.83
The relevant p-value corresponds by referencing the normal distribution table for the area falling beneath the z-score. As a result,
P value = 0.00006
Answer:
Please refer to the explanation
Step-by-step explanation:
Given that:
Sarah, Jose, and you all reside on the same street:
The distance between you and Jose is 5 blocks
The distance between Jose and Sarah is 2 blocks
Calculating the distance (b) between you and Sarah:
Since it is not specified if Sarah is closer to you or to Jose;
Thus;
Distance b from you to Sarah will be:
(The distance to Jose ± the distance to Sarah)
b = (5 ± 2)
b = (5 + 2) or (5 - 2)
b = 7 blocks or 3 blocks
