The sum of the measures of the interior angles of a polygon is known to be

(100 points) Graph the function f(x) = 21(0.5)x. an exponential graph decreasing from the left and crossing the y axis at 0 comm

Margarita [4]

Answer:

Plot The Points at (1,10)

Step-by-step explanation:

6 0

3 years ago

in the function y = .08x + 5, y represents the cost of water per gallons and x represents the number of gallons. How much does t

almond37 [142]

If it is 0.8x+c( i assume asin ur question it shows 08.x+c

Y=0.8x+c
Where x is number of gallon
Put x=1
y=5.8
X
x=2 then y=6.6
Every timeit is incresedby 0.8

3 0

3 years ago

Read 2 more answers

Testing for a disease can be made more efficient by combining samples. If the samples from four people are combined and the mixt

Ilya [14]

Answer:

There is a 34.39% probability of a positive result for four samples combined into one mixture.

This probability is not low enough so that further testing of the individual samples is rarely necessary,

Step-by-step explanation:

There are only two possible outcomes. Either a sample tests positive, or it does not, so we use the binomial probability distribution.

Binomial probability distribution

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

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

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

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

And $\pi$ is the probability of X happening.

A number of sucesses x is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

There are four samples, so $n = 4$

Each sample has a probability of 0.1 of being positive, so $\pi = 0.1$ .

Assuming the probability of a single sample testing positive is 0.1, find the probability of a positive result for four samples combined into one mixture.

If any sample is positive, the result of the four samples is positive. So this is $P(X>0)$ . Either the number of positive samples is 0, or it is greater than 0. The sum of the probabilities is decimal 1. So:

$P(X = 0) + P(X>0) = 1$

$P(X>0) = 1 - P(X = 0)$

In which

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

$P(X = 0) = C_{4,0}.(0.10)^{0}.(0.9)^{4} = 0.6561$

$P(X>0) = 1 - P(X = 0) = 1 - 0.6561 = 0.3439$

There is a 34.39% probability of a positive result for four samples combined into one mixture.

This probability if larger than 5%, so it is not low enough so that further testing of the individual samples is rarely necessary.

4 0

4 years ago

X+5y=-5 slope and y-intercept

poizon [28]

First, you'd need to transform the equation into y = mx + b

To do this, set up the original equation and solve for y.

x + 5 y = -5
Subtract x from both sides.
5y = -5 - x
Now, divide by 5 into both sides to leave y on one side.
y = -1 -x/5

With this new equation, just shift the numbers on the right of y to create a y = mx + b equation

y = -x/5 - 1

Therefore, you're y intercept is -1 and you're slope is -x/5.

Hope this helps!

5 0

3 years ago

Read 2 more answers

The surface area of a right square pyramid is given by A=b2+2bh where b is the length of a side of the base and h is the slant h

gizmo_the_mogwai [7]

Answer:

$h = \dfrac{A - 9}{6}$

Step-by-step explanation:

A=b^2+2bh

b = 3

A = 3^2 + 2(3)h

A = 9 + 6h

6h = A - 9

$h = \dfrac{A - 9}{6}$

4 0

3 years ago