The number of hours spent studying by students on alarge campus in the week before final exams followsa normal distribution with a standard deviation of8.4 hours. a random sample of these students is takento estimate the population mean number of hoursstudying. a. how large a sample is needed to ensure that theprobability that the sample mean differs from thepopulation mean by more than 2.0 hours is lessthan 0.05? b. without doing the calculations, state whether alarger or smaller sample size compared to the sam-ple size in part (a) would be required to guaranteethat the probability of the sample mean differingfrom the population mean by more than 2.0 hoursis less than 0.10.c. without doing the calculations, state whether alarger or smaller sample size compared to the sam-ple size in part (a) would be required to guaranteethat the probability of the sample mean differingfrom the population mean by more than 1.5 hours isless than 0.05.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

3/6 chance

step-by-step explanation:

half of the nubers are odd numbers (1,3,5) which in that case if you would be told to simplify it would be 1/2

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.

cross multiplying, we get :

⇒ (3) × (5) = (9) × (x)

⇒ 15 = 9x