Answer : 4 cm
Step-by-step explanation:
Hi, the radius of a cone is the radius of its circular base.
Since we know the diameter value (8 centimeters) we have ot apply the next formula:
Diameter = radius x 2
Replacing with the values given
8 = 2r
Solving for r:
8/2=r
4=r
So, the radius of the cone is 4 centimeters.
Feel free to ask for more if needed or if you did not understand something.
Answer:
3.08 x 10^-3
Step-by-step explanation:
when putting into scientific notation, you must make it to where there is one number to the left of the decimal. If you move the decimal left, it equals a negative power, if you move it right, it equals a positive power.
Answer: Sales tax is $4.80 and the total cost is $64.80
Step-by-step explanation: Take the difference in the total before and after tax and divide by the price before tax.
To get $4.80, find the sales tax of $60.00 of 8%
We can use this formula: (selling price x sales tax rate)
The sales tax is: $4.80
To find the total cost, add 60.00 by the sales tax. ($4.80)
60.00 + 4.80 = $64.80
Therefore, these are your answers: $4.80 and $64.80
Answer:
23%<x<43%
Step-by-step explanation:
The formula for calculating confidence interval is expressed;
Confidence Interval = p ± z√p(1-p)/n
n is the sample size
z is the z score at 98% confidence interval
n is the sample size = 120
z = 2.33
If in a randomly chosen handful of 120 beans 40 were black, then;
p = 40/120
p = 4/12
p = 0.33
CI = 0.33± 2.33√0.33(1-0.33)/120
CI = 0.33± [2.33√0.33(0.67)/120]
CI = 0.33± [2.33√0.2211/120]
CI = 0.33± [2.33(0.04292)]
CI = 0.33±0.100014
CI = (0.33-0.100014, 0.33+0.100014)
CI = (0.229, 0.430014)
CI = (22.9, 43.0014)
Hence 98% confidence interval for the proportion of black beans in the jar is 23%<x<43%.
