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
Monica [59]
3 years ago
5

How many even 3-digit positive integers can be written using the digits 1,2,4,7, and 8?

Mathematics
1 answer:
N76 [4]3 years ago
4 0

Looking at the question, we can see we have 5 different numbers that can go in any order.

<u>5</u> * <u>4</u> * <u>3</u>

The above is basically saying there are 5 different numbers that can be multiplied by 4 other numbers. Those 2 can be multiplied by 3 different ones, leaving us with a 3 digit positive integer.

5 * 4* 3 = 60

You might be interested in
A company manufactures and sells x meras per month The monthly revnuee function is given by R(x)=200x-0.02x+1000 a) What is the
Anvisha [2.4K]
?????????????????????????????
4 0
3 years ago
Geometry 10 Unit 7 Circles Test Question 16
Sergio039 [100]
X is 15



8x - 10 + 6x + 10x + 10 = 360 \\ 8x + 6x + 10x = 10 - 10 + 360 \\ 24x = 360
x = \frac{360}{24 } = 15

good luck
4 0
4 years ago
A contractor is required by a county planning department to submit one, two, three, four, or five forms (depending on the nature
Westkost [7]

Answer:

(a) The value of <em>k</em> is \frac{1}{15}.

(b) The probability that at most three forms are required is 0.40.

(c) The probability that between two and four forms (inclusive) are required is 0.60.

(d)  P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5 is not the pmf of <em>y</em>.

Step-by-step explanation:

The random variable <em>Y</em> is defined as the number of forms required of the next applicant.

The probability mass function is defined as:

P(y) = \left \{ {{ky};\ for \ y=1,2,...5 \atop {0};\ otherwise} \right

(a)

The sum of all probabilities of an event is 1.

Use this law to compute the value of <em>k</em>.

\sum P(y) = 1\\k+2k+3k+4k+5k=1\\15k=1\\k=\frac{1}{15}

Thus, the value of <em>k</em> is \frac{1}{15}.

(b)

Compute the value of P (Y ≤ 3) as follows:

P(Y\leq 3)=P(Y=1)+P(Y=2)+P(Y=3)\\=\frac{1}{15}+\frac{2}{15}+ \frac{3}{15}\\=\frac{1+2+3}{15}\\ =\frac{6}{15} \\=0.40

Thus, the probability that at most three forms are required is 0.40.

(c)

Compute the value of P (2 ≤ Y ≤ 4) as follows:

P(2\leq Y\leq 4)=P(Y=2)+P(Y=3)+P(Y=4)\\=\frac{2}{15}+\frac{3}{15}+\frac{4}{15}\\   =\frac{2+3+4}{15}\\ =\frac{9}{15} \\=0.60

Thus, the probability that between two and four forms (inclusive) are required is 0.60.

(d)

Now, for P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5 to be the pmf of Y it has to satisfy the conditions:

  1. P(y)=\frac{y^{2}}{50}>0;\ for\ all\ values\ of\ y \\
  2. \sum P(y)=1

<u>Check condition 1:</u>

y=1:\ P(y)=\frac{y^{2}}{50}=\frac{1}{50}=0.02>0\\y=2:\ P(y)=\frac{y^{2}}{50}=\frac{4}{50}=0.08>0 \\y=3:\ P(y)=\frac{y^{2}}{50}=\frac{9}{50}=0.18>0\\y=4:\ P(y)=\frac{y^{2}}{50}=\frac{16}{50}=0.32>0 \\y=5:\ P(y)=\frac{y^{2}}{50}=\frac{25}{50}=0.50>0

Condition 1 is fulfilled.

<u>Check condition 2:</u>

\sum P(y)=0.02+0.08+0.18+0.32+0.50=1.1>1

Condition 2 is not satisfied.

Thus, P(y)=\frac{y^{2}}{50} ;\ y=1, 2, ...5 is not the pmf of <em>y</em>.

7 0
3 years ago
Simplify 3 - (2 - 8). -1 9 -7 7
MArishka [77]
<span>3 - (2 - 8)
= 3 - 2 + 8
= 11 - 2
= 9

In short, Your Answer would be Option B

Hope this helps!</span>
7 0
3 years ago
Read 2 more answers
PLZ HELP I AM STUCK!
Licemer1 [7]

A. 3 could be the answer

B 12 would be the second answer

8 0
3 years ago
Other questions:
  • Randi takes The stairs at work whenever possible instead of the elevator. She must climb up 51 steps from her office to get to t
    8·2 answers
  • A digital scale reports a 10kg weight as weighing 8.975kg. which of the following is true?
    12·1 answer
  • What is the greatest common factor of 42, 30, and 45​
    5·1 answer
  • PLEASEEEE HELPP MEEE WITHHH NUMBERSSS 9 AND 10<br><br> PLEASEEE HELPPP MEEEEE!!!!!!!!
    9·1 answer
  • Which company has the highest charge per attendee?
    6·1 answer
  • What is the equation of the line that passes<br> through the points (3, 3) and (5, -9)?
    7·1 answer
  • I need help with the first
    13·1 answer
  • Please help with solving this
    8·1 answer
  • What is the remainder when () = 3 − 11 − 10 is divided by x+3
    12·1 answer
  • Fellow 9. What is the distance between (-3, 4) and (5, 1)?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!