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3 years ago

12

Write the geometric sequence in function notation.

1 answer:

Nuetrik [128]3 years ago

8 0

Answer:

D

Step-by-step explanation:

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The sum of the measures of two acute angles is always greater than 90 degrees

kotykmax [81]

Answer:

One acute angle will always measure between 0° and 90° . Two acute angles can sum to be either greater than, less than, or equal to a right angle. Two acute angles can be complementary angles (adding to 90° ). Two acute angles alone cannot sum to make a straight angle (180° )

4 0

3 years ago

A random variable X has a Poisson distribution with a mean of 3. What is the probability that X P(1≤X≤3) ?.

frosja888 [35]

Answer:

P(1≤X≤3) = 0.5974

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Mean of 3

This means that $\mu = 3$

P(1≤X≤3) ?

$P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3)$

So

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494$

$P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240$

$P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240$

So

$P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.1494 + 0.2240 + 0.2240 = 0.5974$

4 0

3 years ago

A store paid $800 for a computer. To make a profit, they need to sell it for 15%

zepelin [54]

Answer:

$920

Step-by-step explanation:

800(1.15) = 920

3 0

3 years ago

Has an x-intercept of (4,0) and a y- intercept of (0,-2)

Mazyrski [523]

Just to be different we'll start with intercept intercept form which says the line through x intercept (a,0) and y intercept (0,b) is

$\dfrac x a + \dfrac y b = 1$

Through (4,0) and (0,-2) that's

$\dfrac{x}{4} + \dfrac{y}{-2} = 1$

Multiply through by the common denominator of 4 for standard form:

x - 2y = 4

For slope intercept form we solve for y

-2 y = -x + 4

y = (1/2) x - 2

We see our slope is (1/2) and we go through (4,0) so point slope form is

y - 0 = (1/2)(x - 4)

y = (1/2)(x-4)

5 0

3 years ago

SOMEONE PLEASE ANSWER

dsp73

Answer:

-4

Step-by-step explanation:

that is the pattern

5 0

3 years ago