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Katarina [22]
3 years ago
6

100pts: Prove or disprove: If x is a 2 digit number, and y is the number formed by reversing the order of X's digits, then x + y

= 11(x+y).
For example, if x is 54 then y is 45.
I give brainliest!
Mathematics
2 answers:
11111nata11111 [884]3 years ago
7 0

Answer:

Disproved

Step-by-step explanation:

We are given the formula and what both variables equal. So, we can solve to see if this is true.

x = 54 and y = 45

54 + 45 = 11(54 + 45)

99 = 11(99)

99 ≠ 1089

Since they don't equal the same, this disproves it.

Best of Luck!

alexandr1967 [171]3 years ago
4 0

Step-by-step explanation:

If we use this formula then

X is 54 y is 45

54 + 45 = 11(54 + 45)

99 = 11(99)

99 = 1089

= 1089 - 99

= 990

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Write the equation of the line graphed i will give brainliest
marissa [1.9K]

Answer:

y=0.8x

Step-by-step explanation:

take two points from the graph

(5,4) and (0,0)

then do y2-y1/x2-x1

4-0/5-0

4/5=.8

6 0
3 years ago
34​% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a
finlep [7]

Answer:

a) There is a 18.73% probability that exactly two students use credit cards because of the rewards program.

b) There is a 71.62% probability that more than two students use credit cards because of the rewards program.

c) There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.

Step-by-step explanation:

There are only two possible outcomes. Either the student use credit cards because of the rewards program, or they use for other reason. So, we can solve this problem by the binomial distribution.

Binomial probability

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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

In this problem, we have that:

10 student are sampled, so n = 10

34% of college students say they use credit cards because of the rewards program, so \pi = 0.34

(a) exactly​ two

This is P(X = 2).

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

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

There is a 18.73% probability that exactly two students use credit cards because of the rewards program.

(b) more than​ two

This is P(X > 2).

Either a value is larger than two, or it is smaller of equal. The sum of the decimal probabilities must be 1. So:

P(X \leq 2) + P(X > 2) = 1

P(X > 2) = 1 - P(X \leq 2)

In which

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

So

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

P(X = 0) = C_{10,0}.(0.34)^{0}.(0.66)^{10} = 0.0157

P(X = 1) = C_{10,1}.(0.34)^{1}.(0.66)^{9} = 0.0808

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0157 + 0.0808 + 0.1873 = 0.2838

P(X > 2) = 1 - P(X \leq 2) = 1 - 0.2838 = 0.7162

There is a 71.62% probability that more than two students use credit cards because of the rewards program.

(c) between two and five inclusive

This is:

P = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

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

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

P(X = 3) = C_{10,3}.(0.34)^{3}.(0.66)^{7} = 0.2573

P(X = 4) = C_{10,4}.(0.34)^{4}.(0.66)^{6} = 0.2320

P(X = 5) = C_{10,5}.(0.34)^{5}.(0.66)^{5} = 0.1434

P = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1873 + 0.2573 + 0.2320 + 0.1434 = 0.82

There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.

6 0
3 years ago
I will give brainly
Akimi4 [234]

Answer:

Step-by-step explanation:

This probability will be the area of the square divided by the area of the circle.

P=\frac{(4\sqrt{2})^2}{\pi 4^2}\\ \\ P=\frac{32}{16\pi}\\ \\ P=\frac{2}{\pi }\\ \\ \text{As a percentage}\\ \\ P=\frac{200}{\pi}\\ \\ P\approx 63.7\%

7 0
2 years ago
the temperature at noon was -27 degrees . the temperature increased by 13 degrees by 2pm . what was the temperature at 2pm
Aleks [24]
First, you would create an equation for this problem. 
-27 + 13

Now, all you would have to do is solve it. 
-27 + 13 = -14

By 2 pm the temperature was -14 degrees. 

I hope this helps!
5 0
3 years ago
Read 2 more answers
Pls help I don’t understand
alina1380 [7]
That is all the work needed to solve this problem

8 0
2 years ago
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