Hello!
The slope intercept equation for a line is y=mx+b, where b is the y-intercept, and m is the slope. As you can see, the slope is always multiplied by x.
As you can see, -5/4 is multiplied by x. Therefore, our slope is -5/4.
I hope this helps!
Answer:
Rhoda
Step-by-step explanation:
sub same values of x into both expressions. The expressions are equivalent if the values of the expressions are equal
Answer:
665
Step-by-step explanation:
The tool bench which has the shape of a rectangle, a 4-sided shape with lengths and width.
The area of a rectangle A is given by the formula;
A = L × B
Where L is the length, B is the width
Given the bench is 35 inches long and 19 Inches wide
L = 35 inches, B = 19 inches
A = 35 × 19 = 665 square inches
The tool bench will cover 665 square inches of the basement floor .
Answer:
- Using conditional probabilities it can be shown that the results are influenced by the gender.
Explanation:
To prove that the results are influenced by <em>gender</em> you can calculate both the probability of preferring hot dogs and the conditional probability of preferring a hot dog given that is a female.
If the two results are different the probability of preferring hot dog is dependent on whether the person is a female or a male.
The probability of preferring hot dogs given that is a female is stated by the problem: 34.2%.
The probability of preferring hot dogs by the whole sample is:
- Number of males that prefer hot dogs: 184 (stated by the problem)
- Number of females that prefer hot dogs:
100% - 34.2% = 65.8%
65.8% of 635 = 0.658 × 635 = 417.83 ≈ 418
- Samples size: 542 males + 635 females = 1177
- Probability of preferring hot dogs =
number of students that preffer hot dogs / number of students =
(184 + 418) / 1177 = 602 / 1177 = 0.5115 ≈ 51.2%
Thus, the probability of preferring hot dogs given that the student is a female (34.2%) is different from the probability of preferring hot dog for the whole sample, making the results dependent of the gender.
The surface area is 1000 and the volume is 49