Answer:
The correct answer is,
d = 300 feet
Step-by-step explanation:
<u>Points to remember
</u>
The ratio of of corresponding sides of similar triangles are equal.
From the figure we can see two similar triangles.
<u>To find the value of d</u>
It is given that, the ratio of d to 150 ft is the same as the ratio of 40 ft to 20 ft
d/150 = 40/20
d = (150 * 40)/20
d = 300
Therefore the value of d = 300 ft
Answer:
The answer is "2x-y=4"
Step-by-step explanation:
Given:
The Formula of Slope:
by replacing the (2,0) and (0,-4) coordinates in the above formula:
if point y intercepting in x then x=0, for this the value of x= 0 and c=-4.
Equation of the line:
apply m and c value in the above equation:
Subtract by 2x on both sides of the equation we get:
Answer:
-3x+8
Step-by-step explanation:
−2x−x+8
Combine like terms
-3x+8
The mean grade on the quiz was 88.
<u>Step-by-step explanation:</u>
We need to find the mean grade of the quiz using the information given.
The mean also known as the average is defined as the sum of data entries in a set divided by the number of entries in the data set.
The standard deviation gives the amount of variation or dispersion of data values present in a data set.
The given data are,
- The standard deviation of the quiz, SD = 3.
- The score 94 is exactly 2 standard deviations above the mean.
The above sentence represents that 94 is above the mean with 2 standard deviations.
⇒ 94 = Mean + 2 standard deviations.
We know the value for standard deviation. So substitute SD= 3 in the expression provided.
⇒ 94 = Mean + (2×3)
⇒ 94 = Mean + 6
To find mean, subtract 6 on both sides.
⇒ 94 -6 = Mean
⇒ Mean = 88
Therefore, the mean grade on the quiz was 88.
