Consider the following equation,<br> bh + hr = 25<br><br> Solve the equation for h

Bill booked a ride to the airport. If it rains, the traffic will be bad and the probability that he will miss his flight is 0.06

kvasek [131]

Answer:0.614

Step-by-step explanation:

Given

Probability he will miss flight if it rains=0.06

Probability he will miss flight it does not rain=0.01

Given the probability of rain=0.21

Therefore Probability that it will not rain=1-0.21=0.79

Probability that he will miss the flight $=0.21\times 0.06+0.79\times 0.01=0.0205$

P(actual raining and he missed the flight| he miss the flight) $=\frac{0.21\times 0.06}{0.21\times 0.06+0.79\times 0.01}$

$=\frac{0.0126}{0.0205}=0.614$

7 0

2 years ago

What’s in a equation or Leniar function y axis 1 and negative 7 and x axis negative 3 and 1

Elodia [21]

A linear function is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable. For example, a common equation,

y

=

m

x

+

b

, (namely the slope-intercept form, which we will learn more about later) is a linear function because it meets both criteria with

x

and

y

as variables and

m

and

b

as constants. It is linear: the exponent of the

x

term is a one (first power), and it follows the definition of a function: for each input (

x

) there is exactly one output (

y

). Also, its graph is a straight line.

5 0

2 years ago

a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form

lianna [129]

Answer:

The perimeter of the garden, in meters, is $24\sqrt{2}$

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that $d = 12$ , side s. So

$s^2 + s^2 = 12^2$

$2s^2 = 144$

$s^2 = \frac{144}{2}$

$s^2 = 72$

$s = \sqrt{72}$

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

$72 = 2^{3}*3^{2}$

So, in simplest radical form:

$s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}$

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

$P = 4s$

In this question, since $s = 6\sqrt{2}$

$P = 4s = 4*6\sqrt{2} = 24\sqrt{2}$

The perimeter of the garden, in meters, is $24\sqrt{2}$

5 0

2 years ago

Solve for x in terms of r, s and t : s=2x+t/r

Anna007 [38]

For this case we have the following equation:

$s = \frac {2x + t} {r}$

We must clear the value of the variable "x" as a function of r, s and t:

If we multiply by "r" on both sides of the equation we have:

$rs =2x + t$

If we subtract "t" on both sides of the equation we have:

$rs-t = 2x$

If we divide by "2" on both sides of the equation we have:

$x = \frac {rs-t} {2}$

Thus, the value of the variable "x" is:

$x = \frac {rs-t} {2}$

Answer:

$x = \frac {rs-t} {2}$

4 0

3 years ago

Round to the nearest cent $6.51

son4ous [18]

Answer: $6.50
If the number is below 5 (so 1-4) you round down. If its above 5 (5-9), you round up.
E.G. 78.89
Round this to the nearest 10th, you'll get 78.90

4 0

3 years ago

Consider the following equation, bh + hr = 25 Solve the equation for h