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3 years ago

Need help asap please!! This is the only one i don’t know i’m stuck!

Mathematics

1 answer:

lyudmila [28]3 years ago

6 0

Answer:

Reminder that is this form a(b)^x where a > 0

When b > 0 but < 1 that is a decay function

When b > 1 than its a growth function

Step-by-step explanation:

So following this you can figure out the answer

g(x)=0.3(x)

this is neither since there is no exponent (linear)

H=72(56)^t

this is growth since b = 56

A=(43)^t

this is growth since b = 43 ("a" is understood as "1")

H=5.9(0.82)^t

this is decay since b = 0.82

y=0.8(3.6)^t

this is growth since b = 3.6

f(t)=0.72(15)^t

this is growth since b = 14

A=49(8)^t

this is growth since b = 8

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3 years ago

Determine whether each point lies on the graph of the equation.(a) 2x - y - 3 = 0 (a) (1, 2)Yes, the point is on the graph.No, t

Neko [114]

Answer:

a) (1, 2) not on the graph.

b) (1, -1) is on the graph.

Step-by-step explanation:

Given the equation of the line as:

$2x - y - 3 = 0$

The points given are

a) (1, 2)

To determine whether it is on the graph of the line or not.

To do so, we can do 2 things:

1. Draw the graph and plot the point on the graph to check whether it is on the graph or not.

2. To put the point in the given equation of the line, whether the equation is satisfied or not.

For method 1: Kindly refer to the attached image of the line and point plotted.

Method 2:

Let us put $x=1, y=2$ in the Left Hand Side (LHS) of equation.

$2\times 1 - 2 - 3\\\Rightarrow -3 \neq 0 , RHS$

(1, 2) Not on the graph.

(b) (1, -1)

For method 1: Kindly refer to the attached image of the line and point plotted.

Method 2:

Let us put $x=1, y=-1$ in the Left Hand Side (LHS) of equation.

$2\times 1 - (-1) - 3\\\Rightarrow 3-3 = 0 = RHS$

(1, -1) is on the graph.

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4 years ago

The number of hours that a nine month old baby sleeps at night are normally distributed with a population standard deviation of

finlep [7]

Answer:

The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.9}{2} = 0.05$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.05 = 0.95$ , so $z = 1.645$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this quesstion:

$\sigma = 1.5, n = 22$

$M = 1.645*\frac{1.5}{\sqrt{22}} = 0.53$

The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.

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