Answer:
Mean = $123
Standard deviation = 10190
Variance = 1698
Step-by-step explanation:
Mean=?
= sum of all numbers/ Total numbers
a = 93+173+107+125+56+163+144 / 7 = 861/7 = $123
Standard deviation=?
we know that = Sqareroot [ Sum (y)²] / N
we need deviation:
= x-a = y ; y²
= 93-123 = -30 ; 900
=173-123 = 50 ; 2500
=107-123 = -16 ; 256
=125-123 = 2 ; 4
=56-123 = -67 ; 4489
=163-123 = 40 ; 1600
=144-123 = 21 ; 441
Sum of y² = 10190.
= Square root [ 10190 / 7 ]
= 38.1
Variance = ?
= Sum ( y)² / N-1
= 10190 / ( 7-1)
= 10190 /6
= 1698
Answer:
yes
Step-by-step explanation:
To find the value of the outside temperature, we will convert the Fahrenheit temperature readings to Celsius and use the given information. The outside temperature is approximately 9.5 °C assuming it is constant.
To find the value of the outside temperature, we will solve the problem using the Celsius scale. On the Celsius scale, the freezing point of water is 0 °C and the boiling point is 100 °C. The unit of temperature on this scale is the degree Celsius (°C). We can convert the Fahrenheit temperature readings to Celsius and then find the outside temperature using the given information.
Step 1: Convert the initial temperature from Fahrenheit to Celsius:
Initial temperature = 70 °F = 21.111 °C
Step 2: Convert the temperature after 5 minutes from Fahrenheit to Celsius:
Temperature after 5 minutes = 40 °F = 4.444 °C
Step 3: Calculate the change in temperature:
Change in temperature = (Temperature after 5 minutes - Initial temperature) = (4.444 °C - 21.111 °C) = -16.667 °C
Step 4: Calculate the rate of change of temperature per minute:
Rate of change of temperature per minute = (Change in temperature / 5 minutes) = (-16.667 °C / 5 minutes) = -3.333 °C/minute
Step 5: Calculate the temperature 35 minutes after being taken outside:
New temperature = (Initial temperature + (Rate of change of temperature per minute x 35 minutes)) = (21.111 °C + (-3.333 °C/minute x 35 minutes)) = 9.444 °C
Step 6: Since the thermometer reading 35 minutes later is within one-half degree of the outside temperature, the outside temperature is approximately:
Outside temperature = (New temperature ± 0.5 °C) = (9.444 °C ± 0.5 °C) = 8.944 °C to 9.944 °C
So, assuming the outside temperature is constant, the value of the outside temperature is approximately 9.5 °C.
#SPJ2
marbles drawn will be red?
Answer: 0.036
Work Shown:
6 red, 6+3+7 = 16 total
A = 6/16 = probability of getting red the first time
after you pick 1 red, there's 6-1 = 5 left out of 16-1 = 15 total
B = 5/15 = probability of getting red the second time
then you repeat: 5-1 = 4 red left out of 15-1 = 14 total
C = 4/14 = probability of getting red the third time
B and C are dependent on A, C is dependent on B. This is assuming we do not put any marbles back.
Multiply out the fractions found
A*B*C = (6/16)*(5/15)*(4/14) = 0.0357 which rounds to 0.036 when rounding to the nearest thousandth.
Answer:
The box which minimizes the cost of materials has a square base of side length 4.45cm and a height of 2.22 cm.
Step-by-step explanation:
Volume of the jewellery box=44cm³
The box has a square base and is to be built with silver plated sides and nickel plated top and base.
Therefore: Volume = Square Base Area X Height = l²h
l²h=44
h=44/l²
Total Surface Area of a Cuboid =2(lb+lh+bh)
Since we have a square base
Total Surface Area =2(l²+lh+lh)
The Total Surface Area of the box =2l²+4lh
Nickel plating costs $1 per cm³
Silver Plating costs $2 per cm³
Since the sides are to be silver plated and the top and bottom nickel plated:
Therefore, Cost of the Material for the jewellery box =1(2l²)+2(4lh)
Cost, C(l,h)=$(2l²+8lh)
Recall earlier that we derived:
h=44/l²
Substituting into the formula for the Total Cost
Cost, C(l)=2l²+8l(44/l²)
C=2l²+352/l
C=(2l³+352)/l
The minimum costs for the material occurs at the point where the derivative equals zero.
C'=(4l³-352)/l²
4l³-352=0
4l³=352
Divide both sides by 4
l³=88
l=4.45cm
Recall:
h=44/l²=44/4.45²=2.22cm
The box which minimizes the cost of materials has a square base of side length 4.45cm and a height of 2.22 cm.
The single-effect measure calculated and reported is called: Summary statistic
The summary statistic is use to derive a more centralized result ( measure of central tendency ) of a group of data contained in a data set. given that all the results of each individual studies are collected to create a larger sample.
The single-effect measure that will be calculated and reported when this larger sample size is re run to capture the true magnitude is termed the summary statistic of the individual studies.
Hence we can conclude that the single-effect measure calculated and reported is called summary statistic
Learn more : brainly.com/question/10942567
Answer: Power Analysis
Step-by-step explanation: