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Zielflug [23.3K]
1 year ago
8

Hi, can you help me answer this question, please, thank you!

Mathematics
1 answer:
frutty [35]1 year ago
4 0

Given:

mean, u = 0

standard deviation σ = 1

Let's determine the following:

(a) Probability of an outcome that is more than -1.26.

Here, we are to find: P(x > -1.26).

Apply the formula:

z=\frac{x^{\prime}-u}{\sigma}

Thus, we have:

\begin{gathered} P(x>-1.26)=\frac{-1.26-0}{1} \\  \\ P(x>-1.26)=\frac{-1.26}{1}=-1.26 \end{gathered}

Using the standard normal table, we have:

NORMSDIST(-1.26) = 0.1038

Therefore, the probability of an outcome that is more than -1.26 is 0.1038

(b) Probability of an outcome that

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2^x + 3^y = 9<br>2^x+1 - 3^y+1=8<br>find x and y​
Taya2010 [7]

Suppose :

2^x = t ..**&**.. 3^y = u

_____________________________

t + u = 9 × 3 3t + 3u = 27

=====》

2t - 3u = 8 2t - 3u = 8

+ __________

5t = 35

5 × t = 5 × 7

t = 7

&

u = 2

________________________________

Thus :

2^x = 7 ===》 x = Log _ 2 { 7 }

3^y = 2 ===》 y = Log _ 3 { 2 }

8 0
3 years ago
What is the word form of the number 602,107?
Nadusha1986 [10]
<span><u>Answer</u>
Six hundred and two thousand, one hundred and seven.

<u>Explanation </u>
When writing numbers in words you consider the place value of the digits forming that number. A digit is defined by its place value.
In the questions above, 6 is in hundred thousands place, 0 in ten thousands place, 2 in thousands place, 1 in hundreds place, 0 in tens place and 7 in ones place.
So, the 602, 107 in words is Six hundred and two thousand, one hundred and seven. 
</span>
3 0
3 years ago
The equation of a line is y=-2.5x+3. Which one of these points lies on this line?
lakkis [162]
D is the correct answer. Since this is an equation, equation means both side are equal. So if you put each point in place of y and x and do the math on the left side, the final result of that side has to be equal to the left one. Only (-2,2) follows this statement aka its a point on this line .
7 0
3 years ago
The aquarium has 198 guppies, angelfish and catfish altogether.
BabaBlast [244]

Answer:

Number of catfish = 28

Step-by-step explanation:

Let the number of catfish = c

Number of angle fish = c + 6

Number of guppies = 4*(c + 6) = 4c + 4*6 = 4c + 24

Total fishes = 198

c + c + 6 + 4c + 24 = 198           {Combine like terms}

c + c +4c + 6 + 24 = 198

                6c + 30 = 198              {Subtract 30 from both sides}

                     6c    = 198 - 30

                     6c   = 168

                       c = 168/6           {Divide both sides by 6}

                       c = 28

5 0
3 years ago
Which of the binomials below is a factor of this trinomial?
Degger [83]
The factor is (x+6)(x+6)
So, D. x+6 is the correct answer :)
5 0
3 years ago
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