(1.) An apple pie is removed from a 350 degree oven. The temperature of the pie t minutes after being reemoved is given by the function:
T(t) = 72+268e -0.086t. Determine the time(in minutes) required for the pie to cool to a temperature of 115 degrees Fahrenheit. Answer accurate to two decimal points..

(2.) A ball is tossed upwards from a height of 200 feet with an initial velocity of 45 feet/second. The heoght h(t) of the ball above the ground t seconds after being tossed is given by the function:
h(t) = -16t^2+45t+200. Determine the time in seconds after being tossed that the ball reaches a height of 100 feet above the ground. Answer as a number accurate to two decimal places.

(3.) Graph the function f(x) = x^3 -6x+2 on the interval from x= -4 to x =4. The graph of this function has three x-intercepts. Calculate the largest(rightmost) of these x-intercepts to two decimal places.

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(1.) An apple pie is removed from a 350 degree oven. The temperature of the pie t minutes after being removed is given by the function: . Determine the time (in minutes) required for the pie to cool to a temperature of 115 degrees Fahrenheit. Answer accurate to two decimal points.
For the temperature to be 115 degrees Fahrenheit, we should have
This implies
This implies ...

Solution Summary

The expert calculates the largest (rightmost) of these x-intercepts to two decimal places in these problems.

Suppose that we will take a random sample of size n from population having mean µ and standard deviation σ. For each of the following situations, find the mean, variance, and standard deviation of the sampling distribution of the sample mean:
(a) µ = 12 , σ = 2.2 , n = 25 (Round your answers of "σ " to 4 decimal place

Please help me solve this problem and explain how you get to the answer. Thank you.
A local dealership currently has 36 used GM, Ford, and Toyota vehicles on the lot. The following data are available:
- Twenty six vehicles are cars
- Eleven vehicles are GM
- Fifteen vehicles are Fords
- Three vehicles are both Toyotas an

Assume a binomial probability distribution with n=40 and Ï? =.30(pi =.30). (Round all z values to 2 decimalplaces.)
Compute the following:
(a) The mean and standard deviation of the random variable. (Round your "Ï?" to 4 decimalplaces and mean to 1 decimal place)
?=
?=
(b) The probability that X is 16

State whether each of the following fractions is a terminating or repeating decimal. If the decimal terminates, state the number of decimalplaces and show how you decided. If the decimal repeats, write the decimal representation of the fraction.
A. 12/13
B. 6/ 2^2 x 5^7 x 3 (there are no brackets in this questions and th

The probability that a male will be color blind is 0.049. Find the probabilities that in a group of 58 men, the following will be true.
a. exactly 5 are color blind
b. no more than 5 are color-blind
c. at least 1 is color-blind
a. P(exactly 5)=
(Type an integer or decimal rounded to four decimalplaces as needed.)
b.

10. Construct the 95% confidence interval for B and M, of the regression line y = Mx + B, for the population using the following inequalities and data. Use the below data, and complete parts a and b.
(see attachment)
a) Construct the 95% confidence interval for the population y-intercept, B.
___ < B < ___
(round to th

Please provide step by step solution.
Instructions: Solve the following problems keep the guidelines below in check.
If you are calculating something using a table, the number of decimalplaces from the table is expected. like z=1.00, table value is .8413 (2 decimalplaces for z, 4 for the probability)
REGARDING NUMBER

12
Use technology to find the regression equation for the data shown in the table. Then answer the following.
a) What is the standard error estimate?
b) What is the coefficient of determination?
What is the regression equation?
Y = _______ + (_______)x₁ + (_______)x₂
(round three decimalplaces as needed)
a) The s

Assume a binomial probability distribution with n= 40 and
(pi symbol)Ï? = 0.55.
Compute the following: (Round the value for standard deviation and intermediate calculations to 2 decimalplaces and your final answer to 4 decimalplaces.)
(a) The mean and standard deviation of the random variable.
?=