Answer:$154.73
Step-by-step explanation:
Take 65 and multiple .15 and that will give you the 15% off of the case. When u do that you get 9.75 so then 65-9.75= 55.25 multiply .08 for the sales tax on the case = 4.42 add to 55.25= 59.67 then add the sales tax for the laptop 320 multiplied by .08 = 25. 60 for a total of 345.60 then add that to 59.67 = 405.27 then u have to subtract that from 560 and Josh has $154.73
Answer: 40/41
Step-by-step explanation:
The cosine can be represented as adjacent/hypotenuse. Thus, the cosine of C is 40/41
Answer: A. There were 500 liters in the tank when the leak started, and it is decreasing by 9 liters per minute.
Step-by-step explanation:
This equation is in the form; y =mx + c.
<em>c</em> in this equation is the value of y when x is at 0.
<em>c</em> in the above formula is 500 which means that the number of litres (y) at zero minutes(x) is 500 litres.
<em>m</em> is the rate of change as a result of a change in x.
<em>m</em> in this equation is -9 which means that the water is reducing by 9 litres every minute (x).
Answer: 83
Step-by-step explanation:
The confidence interval for population mean is given by :-

Given : The student obtained the following 95% confidence interval (in grams) for the population mean, (862,1028).
Here,
Lower limit of the confidence interval :
(1)
Upper limit of the confidence interval :
(2)
Subtracting (1) from (2) , we get

Hence, the margin of error = 83
Answer: a) 0.5636 b) 0.7881
Step-by-step explanation:
We assume that women’s heights are normally distributed .
Let x be the random variable that represents the shoe sizes.
Also, The population mean =
; Standard deviation: 
a) Formula for z:-

Put x= 64, we get

Now, the probability that the male shoe sizes are greater than 8 :-

Hence, the probability that her height is less than 64 inches = 0.5636
b. Sample size : n= 25
Then , the formula for z :-

Put x= 64, we get

Then, the probability that they have a mean height less than 64 inches.:_

Hence, the probability that they have a mean height less than 64 inches. =0.7881