Answer: Median: 44.5 Mode: 45
Step-by-step explanation: Median is the middle number. Since it's an even set, you add the two middle numbers and divide by two. The mode is just the number that appears the most.
9514 1404 393
Answer:
none
Step-by-step explanation:
No work is required to maintain an object at a constant speed with no change in direction. Work is only done when an object is accelerated, or moved some distance in the direction of the net force applied.
you would do no work
The discriminant of the given quadratic equation as in the task content can be evaluated by means of the formula; D = b²-4ac and it's value is; 13.
<h3>What is the discriminant of the quadratic equation as given in the task content?</h3>
According to the task content, it follows that the quadratic equation whose discriminant is to be determined is; x²-5x+3=0.
By comparison with the standard form equation of a quadratic graph which goes thus; ax²+bx +c = 0, in which case, the determinant is given by the expression; b² - 4ac.
We can consequently evaluate the determinant of the quadratic equation in discuss as follows;
Determinant = b² -4ac = (-5)² - (4×1×3) = 25 - 12
Hence, the determinant in this case is; 13.
Read more on determinant;
brainly.com/question/24254106
#SPJ1
Answer:
Step-by-step explanation:
In order to make a specific shade of green paint, a painter mixes 1 1/2 quarts of blue paint. Converting 1.5 quarts to cup,
1 quart = 4 cups
1.5 quarts = 1.5 × 4 = 6 cups
She also used 1/2 gallon of white paint. Converting 0.5 gallons to cup,
0.0625 gallons = 1 cup
0.5 gallons = 0.5/0.0625 = 8 cups
This means that the ratio of cups of blue paint to green paint to white paint is 6: 2 :8
Total ratio = 6 +2 + 8 = 16
To make 100 cups of this shade of green,
Cups of blue paint needed = 6/16 × 100 = 37.5 cups
Cups of green paint needed = 2/16 × 100 = 12.5 cups
Cups of white paint needed = 8/16 × 100 = 50 cups
Answer:
A) 1/45
B) 1/60
Step-by-step explanation:
<u>Part A</u>
The actual car has a length to width ratio of ...
length/width = (570 cm)/(180 cm) = 57/18 = 3 1/6
The rectangle on the screen has a length to width ratio of ...
length/width = (13 cm)/(4 cm) = 3 1/4
Relative to its width, the screen rectangle is longer than necessary for a model of the car. So, the scale factor will be determined by the width of the car relative to the width of the screen model.
For a model width of 4 cm, the scale factor is ...
model/life-size = (4 cm)/(180 cm) = 1/45
__
<u>Part B</u>
For a model width of 3 cm, the scale factor is ...
model/life-size = (3 cm)/(180 cm) = 1/60
