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3 years ago

What is the value of a1 ?

Mathematics

2 answers:

Citrus2011 [14]3 years ago

7 0

Answer:

Step-by-step explanation:

Since dividing any term by the previous term is constant this is a geometric sequence. In this case the common ratio is 18/6=54/18=3 and the first term a1=6

So a1=6 and r=3

Katyanochek1 [597]3 years ago

6 0

Answer:

the value of a1 in a geometric series is 12 if i remember correctly.

Step-by-step explanation:

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Suppose that in a large metropolitan area, 73% of all households have cable tv. Suppose you are interested in selecting a group

Darina [25.2K]

Answer:

$P(X \leq 2)=0.000387+0.00628+0.0425=0.0491$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=6, p=0.73)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

For what proportion of groups will at most two of the households have cable tv?

So we want to find this probability:

$P(X \leq 2)=P(X=0)+P(X=1)+P(X=2)$

$P(X=0)=(6C0)(0.73)^0 (1-0.73)^{6-0}=0.000387$

$P(X=1)=(6C1)(0.73)^1 (1-0.73)^{6-1}=0.00628$

$P(X=2)=(6C2)(0.73)^2 (1-0.73)^{6-2}=0.0425$

$P(X \leq 2)=0.000387+0.00628+0.0425=0.0491$

3 0

3 years ago

What are the zeros of the quadratic function f(x)=2x^2+16x-9

san4es73 [151]

Answer:

Step-by-step explanation:

The quadratic formula is

$x=\frac{-b+\sqrt{b^2-4ac} }{2a}$ .

It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions. Using the formula will require less work than finding the factors if factorable. We will substitute a=2, b=16 and c=-9.

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(16)+/-\sqrt{(16)^2-4(2)(-9)} }{2(2)}\\x=\frac{-16+/-\sqrt{256+72} }{4}$

We will now simplify and solve.

$x=\frac{-16+/-\sqrt{328}}{4}\\x=-4+/-\sqrt{\frac{328}{16}}\\x=-4+/-\sqrt{\frac{41*8}{2*8}}\\x=-4+/-\sqrt{\frac{41}{2}}$

8 0

3 years ago

A plane intersects the prism perpendicular to the base, intersecting opposite sides of the base. Which best describes the cross

hammer [34]

Answer:

Step-by-step explanation:

For a rectangular prism, a plane intersecting this prism produces a two dimensional figure as its cross section and in this case the cross section is a rectangle.

For a triangular prism, a plane intersecting this prism produces a two dimensional figure as its cross section and in this case the cross section is a triangle.

3 0

3 years ago

Which of the following are square roots of the number below?<br> Check ALL that apply.<br><br>225

andriy [413]

The square root of 225 is 15

7 0

3 years ago

Noelle’s dog eats 8 ounces of dog food each day. Noelle bought a 28 pound bag of dog food. How many 8 ounce servings are in a 28

Ghella [55]

The answer is 56 8 ounces servings in a 28 pound bag of dog food.

3 0

3 years ago