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Karo-lina-s [1.5K]
3 years ago
10

One number is nine more than another number. If the sum of the numbers is 65 find both numbers

Mathematics
1 answer:
velikii [3]3 years ago
6 0

Answer:

THEY ARE 37 AND 28

Step-by-step explanation:

LET THE NUMBERS BE X AND Y

X = 9 + Y

X - Y = 9 ........1

X + Y = 65 .....2

ADDING 1 AND 2

2X = 74

DIVIDING BY 2

2X/2 = 74/2

X = 37

AND X = 9 + Y

: Y = X - 9

PUTTING X = 37

Y = 37 - 9

Y = 28

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A study was conducted to determine whether there were significant differences between medical students admitted through special
Mekhanik [1.2K]

Answer:

P(X\geq 9)=P(X=9)+P(X=10)

And using the probability mass function we got:

P(X=9)=(10C9)(0.913)^9 (1-0.913)^{10-9}=0.383  

P(X=10)=(10C10)(0.913)^{10} (1-0.913)^{10-10}=0.402  

And replacing we got:

P(X \geq 9) = 0.383 +0.402= 0.785

Step-by-step explanation:

Let X the random variable of interest "number of  students graduated", on this case we now that:  

X \sim Binom(n=10, p=0.913)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

We want to find the following probability:

P(X\geq 9)=P(X=9)+P(X=10)

And using the probability mass function we got:

P(X=9)=(10C9)(0.913)^9 (1-0.913)^{10-9}=0.383  

P(X=10)=(10C10)(0.913)^{10} (1-0.913)^{10-10}=0.402  

And replacing we got:

P(X \geq 9) = 0.383 +0.402= 0.785

3 0
3 years ago
If the equation is (x + 1)(2x − 3) will the solution have two different lengths.
inysia [295]

Answer:

(x+1)(2x-3)

x(2x)=2x²

x(-3)=-3x

1(2x)=2x

1(-3)=-3

therefore

2x²-3x+2x-3

2x²-x-3

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3 years ago
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miskamm [114]

Answer:

Ashley’s backpack is the better buy.

Step-by-step explanation:

You have to calculate the price that was paid for each backpack after the discount was applied.

Ashley’s backpack: $65*0.25= $16.25

Final price= $65-$16.25= $48.75

Robbin's backpack: $75*0.3= $22.5

Final price= $75-$22.5= $52.5

According to this, the backpack that is the better buy is the one that Ashley bought because after the discounts were applied it cost $48.75 and Robbin's backpack cost $52.2 which means that Ashley's backpack was cheaper.

8 0
3 years ago
A pair of dice is rolled. These means two dice cubes, numbered 1-6 for
Paha777 [63]
The answer is 1/6.

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Need help ASAP for exam!!!Solve for x. Just type the NUMBER with no spaces. It will be marked wrong if you don't. If you want to
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Answer:

Step-by-step explanation:

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