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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

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ASAP HELP WITH NUMBER 6!! Do A and B!!!!
spin [16.1K]
LINE A
y-intercept : 3
x-intercept: 3
Rate of change: x (because 3/3 equals 1 and 1 times x is the same as x by itself)

Line B
y-intercept: 2
x intercept: -2
rate of change : x (because 1/1 is 1 and 1 times x is the same as x by itself)

Line C
y-intercept: -4
x intercept: 2
rate of change: 2

Line A: Equation F
Line B: Equation D
Line C: Equation E

Extra Notes:

y=mx + b is the slope intercept equation.
M is the slope
B is the y intercept
X and Y are the coordinates

To find slope, you can always use y2-y1/x2-x1 or even determine the slope on the graph by using rise over run and simplifying when possible. 

(Please check my method to see if the answers are correct)
3 0
3 years ago
If each quadrilateral below is a square, find the missing measures<br><br>solve for X​
Studentka2010 [4]

Answer:

i think x = 18.5

Step-by-step explanation:

6x-21 = 90°

6x = 90+21

6x = 111

x = 111/6

x = 18.5

3 0
2 years ago
A multiple-choice examination has 15 questions, each with five answers, only one of which is correct. Suppose that one of the st
Alex

Answer:

0.0111% probability that he answers at least 10 questions correctly

Step-by-step explanation:

For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A multiple-choice examination has 15 questions, each with five answers, only one of which is correct.

This means that n = 15, p = \frac{1}{5} = 0.2

What is the probability that he answers at least 10 questions correctly?

P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 10) = C_{15,10}.(0.2)^{10}.(0.8)^{5} = 0.0001

P(X = 11) = C_{15,11}.(0.2)^{11}.(0.8)^{4} = 0.000011

P(X = 12) = C_{15,12}.(0.2)^{12}.(0.8)^{3} \cong 0

P(X = 13) = C_{15,13}.(0.2)^{13}.(0.8)^{2} \cong 0

P(X = 14) = C_{15,14}.(0.2)^{14}.(0.8)^{1} \cong 0

P(X = 15) = C_{15,15}.(0.2)^{15}.(0.8)^{0} \cong 0

P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0001 + 0.000011 = 0.000111

0.0111% probability that he answers at least 10 questions correctly

3 0
3 years ago
3 In
Orlov [11]

Answer:

22.3838476568 in²

Step-by-step explanation:

First you would find the area of sector (yellow). The formula is 75/360 x π x 3².

this is equal to 5.89048622548. Now the total circle area is 3²xπ = 28.2743338823. 28.2743338823 - 5.89048622548 = 22.3838476568 in²

⭐ Answered by Foxzy0⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

7 0
3 years ago
suppose that x and y vary inversely and x=1 when y=12. write a function that models the inverse variation. graph the function an
larisa [96]

Answer:

y=12/x

Step-by-step explanation:

if y=12, and x=1 so

general formula y=12/x

for x=5 , y=12/5=2.4

you can graph by ploting points such as (1,12), (5, 2.4),...

6 0
2 years ago
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