What is the biconditional statement of the following conditional statement?

1 answer:

4 0

Based on the given conditional statement, the biconditional statement would be The sum of two angles is 180° if and only if the angles are supplementary.

<h3>What is the biconditional statement?</h3>

A biconditional statement takes a conditional statement and restates it while also stating its converse.

To do so, it will often use the words, "if and only if" to emphasize the condition required.

The biconditional statement here is therefore:
" The sum of two angles is 180° if and only if the angles are supplementary."

Find out more on biconditional statements at brainly.com/question/24528571

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State the equation of the line which has the y-intercept :

aliina [53]

Answer:

A general line is written as:

y = a*x + b

where:

a is the slope

b is the y-intercept.

a) y-intercept = 2 and slope = 7.

This line is:

y = 7*x + 2

b) y-intercept = -1 and is parallel to y= 5x - 7.

Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to y= 5x - 7, this means that the slope of this line must also be equal to 5.

y = 5*x + (-1)

c) y-intercept 2 and is inclined at 45° to the x- axis.

When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)

In this case, we have A = 45°

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Then the equation of this line is:

y = 1*x + 2

4 0

3 years ago

Please help, thanks.

tangare [24]

As the x value increases by 1, the y value increases by 4. If the x value skips from 4 to 25, it increaes by 21. The y value can be found by multiplying 21 * 4 and adding the previous y value, 7. 21 * 4 is 84 and 84 + 7 = B) 91

8 0

3 years ago

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.

Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

$f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}$