If thrice a number is subtracted from 100,the difference is 67.Find the number.

Police plan to enforce speed limits by using radar traps at four different locations, Upper L 1L1, Upper L 2L2, Upper L 3L3,

horsena [70]

Answer:

This person have a 29 % probability to receive a speeding ticket

Step-by-step explanation:

The probability of receive a speeding ticket in one of the traps is equal to the probability of going through that trap during the operation time of the trap.

Like we have four traps, and the probabilities are independent, then the probability of receive a speed ticket in one of them, is the sum of the probability for each trap.

P=P1+P2+P3+P4

The probability of going through a trap during the operation time is obtained by multiplying the probability of passing through the trap by the frequency of operation

Frequency of operation:

TL1 ⇒ 40 % = 0.4

TL2 ⇒ 30 % = 0.3

TL3 ⇒ 20 % = 0.2

TL4 ⇒ 30 % = 0.3

Probability of passing through these locations

PL1 ⇒ 0.3

PL2 ⇒ 0.2

PL3 ⇒ 0.4

PL4 ⇒ 0.1

then,

P1= TL1*PL1

P2= TL2*PL2

P3= TL3*PL3

P4= TL4*PL4

and

P = TL1*PL1 + TL2*PL2 + TL3*PL3 + TL4*PL4 = 0.12 + 0.06 + 0.08 + 0.03 = 0.29 = 29 %

This person have a 29 % probability to receive a speeding ticket

4 0

3 years ago

Find the volume of each figure. Simplify your answers.

Molodets [167]

Answer:

231.556

simplifyed?: 232

8 0

3 years ago

(A) find F(x) for the indicated values of x, if possible

dem82 [27]

Answer:

A) The indicated values of F(x) for x=-3 and x=5 are $F(-3)=-27$ and $F(5)=125$

B) The domain of f is the set of all real numbers

Step-by-step explanation:

Given that the function F is defined by

$F(x)=x^3$ for x=-3,5

A) To find F(x) for the indicated values of x :

Given $F(x)=x^3$ for x=-3,5

Put x=-3 in the given function

$F(-3)=(-3)^3$

$=(-3)\times (-3)\times (-3)$

$=-27$

Therefore $F(-3)=-27$

Put x=5 in the given function

$F(5)=(5)^3$

$=(5)\times (5)\times (5)$

$=125$

Therefore $F(5)=125$

The indicated values of F(x) for x=-3 and x=5 are $F(-3)=-27$ and $F(5)=125$

B) To find the domain of f :

The domain of the f in the given expression is the set of all real numbers except where the expression $x^3$ is undefined. In this case, there is no real number that makes the expression undefined.

The domain of f is the set of all real numbers

8 0

3 years ago

I need it now please help

gulaghasi [49]

B. A smaller percentage of second-lunch students (38%) eat outside.

5 0

4 years ago

Graph the line of the equation x4+y=−2 using its slope and y-intercept

k0ka [10]

Answer:

y-intercept = c = -2

slope = y = - 4

Step-by-step explanation:

The correct equation is:

4x + y = -2

We need to graph the line using its slope and y-intercept. The slope intercept form of the equation is:

y = mx + c

Here, m is the slope and c is the y-intercept. Transforming the given equation to this form gives us:

y = - 4x - 2

This means, the slope is:

m = - 4

and y-intercept is:

c = - 2

y-intercept in ordered pair is written as (0, c). So for the given case the y intercept will be (0, -2). This gives us first point on the graph.

The slope tells us that by how many units will the y variable will change for one unit change in x-axis.

So slope, m = - 4, tells us that the y-variable will change by negative 4 units for 1 unit change in x variable.

Based on this change, we can get another point from (0, -2) which will be (0+1, -2 - 4) = (1, - 6)

This gives us the second point on the graph. Plot these two points and join them using a straight line. This straight line will be the graph of equation y = 4x - 2 or 4x + y = -2

The graph is attached below.

4 0

3 years ago