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3 years ago

Indicate a general rule for the nth term of this sequence.

Mathematics

1 answer:

AveGali [126]3 years ago

5 0

A. an = 3mn + 9m
You can easily figure out the answer by plugging in values for n and testing to see which works.

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Express the area A of a right triangle as a function of the height h if the base of the triangle is twice it's height

borishaifa [10]

Base = 2 x height (b = 2h)
Area = 1/2 x base x height = 1/2 x 2h x h = h x h = h^2

8 0

3 years ago

18 bikes, 9 have gears (G), 11 have suspension (S) and 5 with both,What is the probability that a bike with suspension or gears?

vichka [17]

Answer:

Step-by-step explanation:

Total number of bikes = 18
Bikes with gears S = 9
Bikes with suspension S = 11
Bikes with both GS = 5

From the information above we have:

Bikes with gears only = 9 - 5 = 4
Bikes with suspension only = 11 - 5 = 6

Sum of the above two gives us the number of bikes with suspension or gears:

4 + 6 = 10

Probability of selected bike be G or S is:

P(G or S) = 10/18 = 5/9

4 0

3 years ago

The article "Occurrence and Distribution of Ammonium in Iowa Groundwater" (K. Schilling, Water Environment Research, 2002:177–18

Papessa [141]

Answer: 95% confidence interval for the difference between the proportions would be (1.31, 1.39).

Step-by-step explanation:

Since we have given that

Number of alluvial wells = 349

Number of quaternary wells = 143

Number of alluvial wells that had concentrations above 0.1 = 182

Number of quaternary wells that had concentrations above 0.1 = 112

Average of alluvial wells = 0.27

Standard deviation = 0.4

Average of quaternary wells = 1.62

Standard deviation =1.70

So, 95% confidence interval gives

alpha = 5% level of significance.

$\dfrac{\alpha}{2}=2.5\%\\\\z_{\frac{\alpha}{2}}=1.96$

So, 95% confidence interval becomes,

$(1.62-0.27)\pm 1.96\sqrt{\dfrac{0.4^2}{349}+\dfrac{1.7^2}{143}}\\\\=1.35\pm 1.96\times 0.020\\\\=(1.35-0.040,1.35+0.040)\\\\=(1.31,1.39)$

Hence, 95% confidence interval for the difference between the proportions would be (1.31, 1.39).

6 0

3 years ago

Hello, I need some assistance with this homework question, please? This is for my precalculus homework. Q5

snow_tiger [21]

Answer:

$T\text{he domain of H\lparen x\rparen is }\lbrace x\lvert x-3,1\rbrace$

Step-by-step explanation:

The domain of a function is all the set of possible x-values that the function can take. Then, for the given function:

$H\left(x\right)=\frac{-7x^2}{\left(x-1\right)\left(x+3\right)}$

The function is undefined when the denominator is equal to 0, then equalize each factor of the denominator to 0:

$\begin{gathered} x-1=0 \\ x=1 \\ \\ x+3=0 \\ x=-3 \\ \\ \text{ Then, the domain of H\lparen x\rparen is }\lbrace x\lvert x\ne-3,1\rbrace \end{gathered}$

4 0

1 year ago

If the temperature outside is 30°C, what is the temperature in F°

emmasim [6.3K]

Answer:

86°F

Step-by-step explanation:

4 0

3 years ago