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1 year ago

3x = 18 and y + 1 = 4. Find 2^x • 2^y.

Mathematics

1 answer:

Karolina [17]1 year ago

7 0

Answer:

512

Step-by-step explanation:

$3x=18$

$\implies x=6$

$y+1=4$

$\implies y=3$

$2^x \cdot 2^y=2^6 \cdot 2^3=2^{(6+3)}=2^9=512$

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Find the next two terms in the pattern 100,98,94,88,80…

olga_2 [115]

Answer:

its 70 and 58

Step-by-step explanation:

The pattern: -2, -4, -6, -8, -10, -12...

5 0

1 year ago

In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume t

Angelina_Jolie [31]

Answer:

$P(X = 0) = 0.027$

$P(X = 1) = 0.189$

$P(X = 2) = 0.441$

$P(X = 3)= 0.343$

Step-by-step explanation:

The probability mass function P(X = x) is the probability that X happens x times.

When n trials happen, for each $x \leq n$ , the probability mass function is given by:

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

In which p is the probability that the event happens.

$pe_{n,x},$ is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

$pe_{n,x} = \frac{n!}{x!}$

The sum of all P(X=x) must be 1.

In this problem

We have 3 trials, so $n = 3$

The probability that a wafer pass a test is 0.7, so $p = 0.7$

Determine the probability mass function of the number of wafers from a lot that pass the test.

$P(X = 0) = (0.7)^{0}.(0.3)^{3} = 0.027$

$P(X = 1) = pe_{3,1}.(0.7).(0.3)^{2} = 0.189$

$P(X = 2) = pe_{3,2}.(0.7)^{2}.(0.3) = 0.441$

$P(X = 3) = (0.7)^{3} = 0.343$

5 0

3 years ago

Help !!!!!!!!!!!!!!!!

geniusboy [140]

Answer:

Hey there!

5(v+3)-10v>-10

5v+15-10v>-10

-5v+15>-10

-5v>-25

v<5

Let me know if this helps :)

5 0

3 years ago

Read 2 more answers

I need help with this PLZ!!!!!!!

garri49 [273]

Answer:

3. 91.125

4. 30.375

Step-by-step explanation:

just multiply all of the sides

MARK ME BRAINLIEST

3 0

2 years ago

Read 2 more answers

How to find nth term of a sequence in math?

worty [1.4K]

Salutations!

To find the nth term, you will be needing a formula.

$a +(n-1) *d$

a stands for the first term (first number in the sequence)

d stands for the difference between two terms. (always remember to subtract from the 2nd term to the 1st term)

and the n is what we are going to find

so in your sequence: 5, 10, 15, 20

5 is a (as it is the first term)

d would be 5 ( 10 -5 =5)

$a+(n-1)*d$

$5+ (n-1) *5$

$5+5n-5$

$5n+0$

your nth term is $5n+0$

Hope this helps!

Have a great day!

7 0

3 years ago