Answer:
Mean=20.5
standard deviation=13.28
Step-by-step explanation:
We are given six samples i.e.
36, 14, 21, 39, 11, and 2
Mean is the average of all the samples
Mean= sum of all samples/no. of samples
Mean=(36+14+21+39+11+2)/6
Mean=20.5
Standard deviation is the positive square root of variance where
variance= sum of square of samples/number of samples-(mean)²
variance=(36²+14²+21²+39²+11²+2²)/6-(20.5)²
= 596.5-420.25
= 176.25
standard deviation= √(176.25)
standard deviation= 13.28
shown below and is not drawn to scale. Use the formula A=bh to help answer the questions
below.
I have attached an image showing the sketch and the questions to answer.
Answer:
7) $1.28 per brick paver
8) 64 Sq.inches
9) $0.02 per Sq.inches
10) 0.4444 Sq.ft
11) 120 Sq.ft
12) Number of paver to cover patio = 270
Cost of that number = $345.6
Step-by-step explanation:
7) from the image attached, we can see that a box of 12 pavers cost $15.36.
Thus,cost of each brick paver = 15.36/12
>> $1.28 per brick paver
8) we see on the right of the image attached that the dimension of the brick paver is 8 inches length and 8 inches width.
Thus; square inches is the area = 8 × 8 = 64 Sq.inches
9) 1 paver has an area of 64 Sq. Inches. Thus, 12 pavers has an area of;
12 × 64 = 768 Sq.inches
Since cost of 12 pavers is $15.36
Thus coat per Sq inches of the pavers = 15.36/768 = $0.02 per Sq.inches
10) To find the Sq.ft each paver would cover, we will first convert the dimensions of the paver to ft.
Thus;
Length of 8 inches = 8/12 ft
Width of 8 inches = 8/12 ft
Area = (8/12) × (8/12)
Area = 4/9 Sq.ft = 0.4444 Sq.ft
11) The patio measures;
Length = 12 ft
Width = 10 ft.
Thus;
Area = 12 × 10 = 120 Sq.ft
12) Each paver has an area of 4/9 Sq.ft.
Thus;
Number of pavers to cover the patio = area of patio/area of each paver
Number of pavers to cover patio = 120/(4/9) = 270 pavers
12 pavers cost $15.36
Thus, 270 pavers will cost;
270 × 15.36/12 = $345.6
a) The slope of the model is 15.
b) The y-intercept of the model is 25.
c) p = 15w + 25, where p is puppets and w is weeks
d) After seven weeks, there would be 130 puppets available for sale.
e) It would take Gepetto 13 weeks to fulfill an order for 220 puppets.
The slope of the model shows how quickly the number of puppets for sale changes over time. In this situation, Gepetto makes 15 new puppets every week, so the slope is 15.
The y-intercept of the model shows how many puppets Gepetto already has in storage at the beginning. In this situation, he has made 25 puppets that are fully done, so the starting point on the graph is at 25.
The equation in slope-intercept form included the slope and the starting point on the y-axis.
Read more about slope of the model here:
#SPJ3
Answer:
a) 15
b) 25
c) p = 15w + 25, where p is puppets and w is weeks
Step-by-step explanation:
a) Gepetto makes 15 puppets a week, so as the weeks increase by 1, puppets increases by 15, making the slope 15
b) Gepetto started out with 25 puppets. This means that when x = 0 (0 weeks), there will be 25 puppets already
c) The slope and y-intercept were incorporated into an equation in slope-intercept form.
Justify your answer.