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3 years ago

A graph is a straight line through the point (0,5). Can the graph represent a proportional relationship?

Mathematics

1 answer:

cupoosta [38]3 years ago

5 0

Answer:

yes because every time x changes y changes the same amount

Step-by-step explanation:

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To track the reptile population around a lake, researchers marked 200 turtles. A few weeks later, they counted 480 turtles, of w

True [87]

Answer:

1500

Step-by-step explanation:

64/200 = 32/100 = 16/50 =

8/25 of 480 turtles marked

divide 480 by 8 and then multiply the quotient by 25

480/8= 60

60*25=1500

6 0

3 years ago

Please help i have been struggling with this

Readme [11.4K]

Answer:

When put into a decimal, the answer is 0.09 recurring.

Step-by-step explanation:

Divide the numerator by the denominator to convert a fraction to a decimal. The entire number stays to the left of the decimal when there is a mixed number.

4 0

2 years ago

The following system of equations is graphed below.

mafiozo [28]

Answer:

C) is the solution

Step-by-step explanation:

As the two equations have an intersection at (-5,1), which means they share the same point, then (-5 , 1 ) is the solution for the system.

5 0

3 years ago

Assume that when adults with smartphones are randomly selected, 51% use them in meetings or classes. If 7 adult smartphone use

Morgarella [4.7K]

Answer:

$P(X \geq 3) = 1-P(X$

If we find the individual probabilities we gotL

$P(X=0)=(7C0)(0.51)^0 (1-0.51)^{7-0}=0.0068$

$P(X=1)=(7C1)(0.51)^1 (1-0.51)^{7-1}=0.0494$

$P(X=2)=(7C2)(0.51)^2 (1-0.51)^{7-2}=0.1543$

And replacing we got:

$P(X \geq 3) = 1- [0.0068 +0.0494 +0.1543]= 0.7895$

Step-by-step explanation:

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".

Solution to the problem

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

$X \sim Binom(n=7, p=0.51)$

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 this case we want to find this probability:

$P(X \geq 3)$

And we can use the complement rule for this case:

$P(X \geq 3) = 1-P(X$

If we find the individual probabilities we gotL

$P(X=0)=(7C0)(0.51)^0 (1-0.51)^{7-0}=0.0068$

$P(X=1)=(7C1)(0.51)^1 (1-0.51)^{7-1}=0.0494$

$P(X=2)=(7C2)(0.51)^2 (1-0.51)^{7-2}=0.1543$

And replacing we got:

$P(X \geq 3) = 1- [0.0068 +0.0494 +0.1543]= 0.7895$

7 0

3 years ago

The graph for the equation y = x minus 4 is shown below. On a coordinate plane, a line goes through (0, negative 4) and (4, 0).

Nataly [62]

Answer:

The correct option is:

y - x = -4

Step-by-step explanation:

The graphed equation is:

y = x - 4

The equation which will have infinite number of solution should overlap the graphed equation at infinity points.

It is only possible when both the equations are exactly same.

Consider the line given:

y - x = -4

Rearrange the equation:

y = x - 4

Thus, it is the same as the first equation.

Verify for point (0,-4)

y - x = -4

-4 - 0 = -4

-4 = -4

Proved.

Verify for point (4,0)

y - x = -4

0 - 4 = -4

0 = -4+4

0 = 0

Proved

7 0

3 years ago