1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lana71 [14]
3 years ago
14

50 POINTS

Mathematics
1 answer:
Len [333]3 years ago
8 0

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

P(A) = 0.5

P(B) = 0.5

P(C) = 0.15

P(D) = 0.7

P(E) = 0.15

We need to find the independent events.

When we consider,

P(A∩D) = P(Event A and Event D) = 0.35

and

P(A) × P(D) = 0.7 × 0.5 = 0.35

We get that

P(A∩D)= P(A) × P(D) = 0.35

All other options are not satisfying the conditions of "Independent events".

Hence, Option 'B' is correct.

You might be interested in
Cody made deposits of $45, $18 and $26 into his checking account. He then wrote checks for $21 and $93. Write and solve a numeri
Lera25 [3.4K]
$45+$18+$26-$21-$93
45+18=63
63+18=81
81+26=107
107-21=86
86-93=-7
8 0
3 years ago
Which number line shows the correct placement of 2.4 to the second power
MakcuM [25]

Where are the number line choices!?

6 0
3 years ago
QuestiuI4
4vir4ik [10]

Answer:

The new volume is 14,850cm³

Step-by-step explanation:

Given

Volume of a rectangular prism = 550cm

Required

Value of volume when the dimensions are tripled.

The volume of a rectangular prism is calculated using the following formula.

V = lbh

<em>When Volume = 550, the formula is written as follows</em>

550 = lbh

<em>Rearrange</em>

lbh = 550

However, when each dimension is tripled.

This means that,

new length = 3 * old length

new breadth = 3 * old breadth

new height = 3 * old height

<em>Let L, B and H represent the new length, new breadth and new height respectively</em>

In other words,

L = 3l

B = 3b

H = 3h

Calculating new volume

New volume = LBH

Substitute, 3l for L, 3b for B and 3h for H;

V = 3l * 3b * 3h

V = 3 * l * 3 * b * 3 * h

V = 3 * 3 * 3 * l*b*h

V = 27 * lbh

Recall that lbh = 550

So,

V = 27 * 550

V = 14,850

Hence, the new volume is 14,850cm³

6 0
3 years ago
Read 2 more answers
The graph of y= - 1/2x+2 is positive over the interval (4, infinity) and negative over the interval (-infinity, 4) .What happens
vichka [17]

The graph of y=ax+b, where a≠0, is always a line:

i) increasing if a>0
ii) decreasing if a<0

Consider the decreasing case.

The line is above the x-axis, that is positive but decreasing. At 1 single point it cuts the x-axis, so x=0, and then it continues decreasing below the x-axis.


Back to our problem:

The graph of y=-1/2 x +2 is a decreasing line.,

so it CANNOT be
"positive over the interval (4, infinity) and negative over the interval (-infinity, 4)"

it is 

"<span>negative over the interval (4, infinity) and  positive over the interval (-infinity, 4)</span>"



the graph is "<span>positive over the interval (-infinity, 4)</span>", it means that the line is decreasing but above the x-axis until 4, (4 not included).

then, "negative over the interval (4, infinity)", which means that the line is now decreasing below the x-axis.

when x=4, the line cuts the x-axis.


check the graph of the line generated using desmos.com

3 0
3 years ago
Solve, (x+4)(x+1)=x–(x–2)(2–x)
katen-ka-za [31]

Answer:

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • The function D(h)=25h+50 models the distance a train traveled from a station, in miles, h hours after crossing a bridge, what is
    15·2 answers
  • The formula relating the forces is xd= y (L-d). What formula can you use to find the length of the lever?
    10·1 answer
  • The sequence of 5,8,14,26
    5·2 answers
  • There are two factors of -36 such that one factor is 11 less than half of the other factor. Choose all the pairs of these factor
    11·1 answer
  • Determine the quotient, q(x), and remainder, r(x) when
    8·1 answer
  • 0.0125 convert to fraction
    12·2 answers
  • Someone pleas help 15 points if you so please
    14·1 answer
  • 17. A man stands 4300 feet from the Burj Khalifa in
    13·1 answer
  • Liam is going on a vacation to Australia. His flight leaves at 3:15 P.M. It takes 1 hour and 35 minutes to get to the airport, a
    14·1 answer
  • A salesperson at a jewelry store earns 7​% commission each week. Last​ week, Jarrod sold $640 worth of jewelry. How much did he
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!