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3 years ago

What value for the constant, h, in the equation shown below will result inn an infinite number of solutions

Mathematics

1 answer:

kolezko [41]3 years ago

7 0

Answer:

Option C: h = 2

Step-by-step explanation:

Infinite no. of solutions is when an equation is true for all x

6x + 18 = h(3x + 9)

Both sides become identical when h = 2

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Factor the following trinomial x^2 + 12x +35

alekssr [168]

Answer:

~~~~~~~~~~Photo math ~~~~~~~~~

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3 years ago

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Let X be a Binomial Random Variable with 8 trials and a probability of success as 0.37. Suppose you want to find k such that P(X

larisa86 [58]

Answer:

k = 4

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this problem we have that:

$n = 8, p = 0.37$ . So

P(X < k) = 0.6625

k only assumes discrete values, so

$P(X < k) = P(X \leq k-1) = 0.6625$

We have to find the cummulative distribution until we hit 0.6625. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{8,0}.(0.37)^{0}.(0.63)^{8} = 0.0248$

$P(X \leq 0) = P(X = 0) = 0.0248$

$P(X = 1) = C_{8,1}.(0.37)^{1}.(0.63)^{7} = 0.1166$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0248 + 0.1166 = 0.1414$

$P(X = 2) = C_{8,2}.(0.37)^{2}.(0.63)^{6} = 0.2397$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0248 + 0.1166 + 0.2397 = 0.3811$

$P(X = 3) = C_{8,3}.(0.37)^{3}.(0.63)^{5} = 0.2814$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0248 + 0.1166 + 0.2397 + 0.2814 = 0.6625$

$P(X \leq 3) = P(X < 4) = 0.665$

So k = 4

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3 years ago

Would someone please help me with this

Ipatiy [6.2K]

Answer:

12,000 m³

Step-by-step explanation:

Area of it's base = 900 m²
Height of the pyramid = 40 m

The volume of a pyramid = 1/3 × area of base × height

= 1/3 × 900 × 40

= 300 × 40

= 12,000 m³

4 0

3 years ago

Homer and bart plan to buy one computer for 499.00 strictly for gaming purposes. Games cost 49.99 each. define each variable and

Ipatiy [6.2K]

Answer:

499.00+49.99x the variable is how many games they get

Step-by-step explanation:

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Find the image of the given point

Ira Lisetskai [31]

Answer:

P' = (2, -6)

Step-by-step explanation:

In this translation, you just need to substitute x and y into the given translation to find what P' is. (x is -6 since it's the x-value of P, and y is -2 since it's the y-value of P):

where T(x, y) = (x + 8, y - 4) and x = -6 and y = -2,

T(-6, -2) = ((-6) + 8), (-2) - 4) (substitute x and y into the translation)

T(-6, -2) = (2, -6) (add and subtract)

So, P' = (2, -6)

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3 years ago