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AVprozaik [17]
3 years ago
11

10 points

Mathematics
1 answer:
olganol [36]3 years ago
4 0

Answer:

T1=12 a=12 a=T1

d=9

your Arithmetic equation is Tn=a+(n-1)d

Tn=a+(n-1)d

SUBSTITUTE a and d in your equation

Tn=12+(n-1)(9)

Tn=12+9n-9

Tn=3+9n or Tn=9n+3

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some say that to brew an excellent cup of coffee, you must have a brewing temperature off 200 degrees, plus or minus five degree
ASHA 777 [7]
Your equation for the maximum brewing temperature should be x = 200 + 5 because according to your word problem, the temp. can be five degrees above 200 degrees. 

x = 200 + 5 
x = 205

Your equation for the minimum brewing temperature should be x = 200 - 5 because according to your word problem, the temp. can be five degrees below 200 degrees.

x = 200 - 5
x = 195


8 0
3 years ago
he American Heart Association is about to conduct an anti-smoking campaign and wants to know the fraction of Americans over 45 w
Sonja [21]

Answer:

The 85% confidence interval is (0.2187, 0.2613).

Step-by-step explanation:

We have a large sample of size n = 830 Americans over 45. We have observed that 631 people don't smoke. Let p be the population proportion of Americans over 45 who smoke. An point estimate of p is \hat{p} = 199/830 = 0.24 and an estimate of the standard deviation of \hat{p} is \sqrt{\hat{p}(1-\hat{p})/n} = \sqrt{(0.24)(0.76)/830} = 0.0148. Therefore, because we have a large sample, the 85% confidence interval for the population proportion is given by \hat{p}\pm z_{\alpha/2}\sqrt{\hat{p}(1-\hat{p})/n} = 0.24\pm z_{0.15/2}0.0148 = 0.24\pm z_{0.075}0.0148 where z_{0.075} is the 7.5th quantile of the standard normal distribution, i.e., -1.4395. Therefore the 85% confidence interval is 0.24\pm (1.4395)(0.0148) or equivalently (0.2187, 0.2613).

7 0
3 years ago
Hey can you please help me posted picture of the question
Andrews [41]
If we observe the graph it crosses x-axis at the following points:
1) x = - 2
2) x = - 5

This means, x+ 2 and x + 5 are the factors of the polynomial. A polynomial can be expressed as the product of its factors. So we can express the given polynomial as (x + 2)(x + 5)

Thus the answer to above question is option C
4 0
3 years ago
Is it true that an angle bisector is equidistant from the sides of the angle it is bisecting?
Viktor [21]

yes, if a point is on the bisector of an angle, then the point is outdistance

from sides of the angle  

5 0
3 years ago
(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13
jolli1 [7]

Answer:

y(x)=3e^{5x}-2xe^{5x}

Step-by-step explanation:

The given differential equation is y''-10y'+25y=0

The characteristics equation is given by

r^2-10r+25=0

Finding the values of r

r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5

We got a repeated roots. Hence, the solution of the differential equation is given by

y(x)=c_1e^{5x}+c_2xe^{5x}...(i)

On differentiating, we get

y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)

Apply the initial condition y (0)= 3 in equation (i)

3=c_1e^{0}+0\\\\c_1=3

Now, apply the initial condition y' (0)= 13 in equation (ii)

13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2

Therefore, the solution of the differential equation is

y(x)=3e^{5x}-2xe^{5x}

5 0
3 years ago
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