MATHEMATICS COLLEGE

The difference between two integers is 43. If you double the smaller integer and triple the larger integer the sun is 189. Identify the two integers

Answers

Answer 1

Answer:

Answer:

ok umm i did guess and check i got the the two integers are 55 and 12

55-12=43

55*3=165

12*2=24

165+24=189

Step-by-step explanation

hope this helped

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Round ALL word problem answers to TWO decimals! In in college, you study for two hours per dayfor a three-credit class. How many horus should you play to study if you take 13 credits per
semester? with explanation

Answers

Answer:

so for what I'm thinking is 2*5 for the amount of hours in a school week and then you get 10 then times that by 15 for the amount of weeks in a semester which is 150 then times that by 3 and you get 450 thats the simple way so if you are also studying over the weekend it would be 630 of a entire year

Step-by-step explanation in the answer

(1 point) The number of households with cable TV service in a certain community, N, begins at only 55 households and has seen a fivefold increase every 17 years. Give the constants a, b, and T so that N is represented by a function of the form N=abt/T, where t is the time in years since N was first measured.

Answers

Answer:

a=55

b=5

T=17

Step-by-step explanation:

The general form of the equation is:

$N(t)=ab^{(t)/(T)}$

For t = 0:

$N(0)=ab^{(0)/(T)}\nN(0) = a = 55\na=55$

Since there has been a fivefold increase after 17 years, at t = 17, N(17) = 55*5

$N(17)=55b^{(17)/(T)}\n55*5 = 55b^{(17)/(T)}\nb^{(17)/(T)} = 5$

If at every 17*n years there in an increase of 5^n, one can deduct that the values for T and b are respectively 17 and 5:

$b^{(t)/(T)}= 5^{(17n)/(17)}$

Therefore, the function that represents N(t) is:

$N(t)=55*5^{(t)/(17)}$

A manufacturer is interested in the output voltage of a power supply used in a PC. Output voltage is assumed to be normally distributed, with standard deviation 0.25 V, and the manufacturer wished to test against , using units. Statistical Tables and Charts (a) The critical region is or . Find the value of

Answers

The missing values in the question are shown in bold forms below.

A manufacturer is interested in the output voltage of a power supply used in a PC. Output voltage is assumed to be normally distributed, with standard deviation of 0.25 V, and the manufacturer wished to test $\mathbf{ H_o : \mu = 10 V \ against \ H_1 : \mu \neq 10V}$ , using n = 10 units. Statistical Tables and Charts

(a) The critical region is $\mathbf{\overline X < 9.83}$ or $\mathbf{\overline X < 10.17}$ . Find the value of $\mathbf{\alpha }$

Answer:

∝ = 0.032 (to 3 decimal place)

Step-by-step explanation:

From the given information:

$P(\overline X < 9.83 ) + P( X> 10.17) = \bigg (1- P \bigg ( (X - \mu)/((\sigma)/(√(n))) \bigg )< Z< \bigg ( (X - \mu)/((\sigma)/(√(n))) \bigg ) \bigg )$

$P(\overline X < 9.83 ) + P( X> 10.17) = \bigg (1- P \bigg ( (9.83 - 10)/((0.25)/(√(10))) \bigg )< Z< \bigg ( (10.17- 10)/((0.25)/(√(10))) \bigg ) \bigg )$