Answer:
Step-by-step explanation:
From the graphs attached,
Let the coordinates of the two points given on the black line in the first graph are (-4, 2) and (-1, 10).
When these points have been rotated by 90° about the origin,
Rule for the rotation will be,
(x, y) → (y, -x)
Therefore, coordinates of the image points will be,
(-4, 2) → (2, 4)
(-1, 10) → (10, 1)
Therefore, red line given given in graph (1) and black line (After rotaion of 90° clockwise) in graph (2) will be same.
Answer:
720 employees
Step-by-step explanation:
Number of responded employees = 90% of 2000 employees = 1800 employees
Out of 1800 employees, if 60% answer yes, then the remaining 40% will answer "no". 72 employees did not respond to the survey.
Number of "no" answered employees = 40% of 1,800 employees = 720 employees( Answer)
Answer:
the slope is 3/2 or 1.5 they are the same
Step-by-step explanation:
His car gets 21 mpg (miles per gallon). With 1 gallon he can drive 21 miles. For example, with 10 gallons, he can drive 21 mpg * 10 gal = 210 miles.
He bought $19.50 worth of gas at $1.40 per gallon.
$19.50 / ($1.40/gal) = 13.93 gal
He already had 5 gal of gas in his tanks, so now he has
5 gal + 13.93 gal = 18.93 gal
With 18.93 gal, he can drive
18.93 gal * 21 mpg = 292.5 miles
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.
