-2-(-9)plz show work
2 answers:
You might be interested in
Answer:
The y-intercept is –2.
The slope is Negative three-fifths
Step-by-step explanation:
A linear function is a function whose graph is a straight line. A linear function can be represented as:
f(x) = y = a + bx
where y is the dependent variable and x is the independent variable. The equation of a linear function in slope intercept form is given as:
y = mx + c
Where m is the slope and c is the y intercept.
Given that:
, and comparing with y = mx + c:
The slope (m) =
The y intercept (c) = -2
<h3>Answer: 65/63</h3>
=================================================
Explanation:
Draw a right triangle in the first quadrant, aka northeast quadrant, as shown in the diagram below.
Cosecant involves the ratio of hypotenuse over opposite. It's the reciprocal of sine
sin(angle) = opposite/hypotenuse
csc(angle) = hypotenuse/opposite
since csc = 1/sin
Use the pythagorean theorem to solve for b in the diagram
a^2+b^2 = c^2
16^2+b^2 = 65^2
256+b^2 = 4225
b^2 = 4225-256
b^2 = 3969
b = sqrt(3969)
b = 63
So this is the adjacent side. The secant ratio involves hypotenuse over adjacent (it's the reciprocal of cosine).
sec(angle) = hypotenuse/adjacent
sec(A) = 65/63
Answer:
The p-value of the test is 0.2262 > 0.02, which means that the decision is to fail to reject the null hypothesis.
Step-by-step explanation:
An automobile manufacturer has given its jeep a 51.3 miles/gallon (MPG) rating.
At the null hypothesis, we test if the mean is of 51.3, that is:
An independent testing firm has been contracted to test the actual MPG for this jeep since it is believed that the jeep has an incorrect manufacturer's MPG rating.
This means that at the alternative hypothesis, we test if the mean is different of 51.3, that is:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
51.3 is tested at the null hypothesis:
This means that
After testing 230 jeeps, they found a mean MPG of 51.1. Assume the population variance is known to be 6.25.
This means that
Value of the test statistic:
P-value of the test and decision:
The p-value of the test is the probability of the sample mean differing from 51.1 by at least 0.2, which is P(|z| > 1.21), which is 2 multiplied by the p-value of z = -1.21.
Looking at the z-table, z = -1.21 has a p-value of 0.1131.
2*0.1131 = 0.2262
The p-value of the test is 0.2262 > 0.02, which means that the decision is to fail to reject the null hypothesis.