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Marina CMI [18]
3 years ago
11

Solve : a) (x-4)(x-2)=0​

Mathematics
1 answer:
Elden [556K]3 years ago
8 0

Answer:    X= 3

Step-by-step explanation:

x-4*x-2=0

+4.       +4

—————-

x*x-2=4

     +2. +2

——————

x*x=6

2x=6

/2.   /2

—————-

x=3

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The waking time of a student under common conditions is normally distributed with mean of 30 hours and a standard deviation of 5
Elina [12.6K]

Answer:

If the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 30 hours

Standard Deviation, σ = 5 hours

We are given that the distribution of waking time is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 30}{5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 30}{5} = 1.645\\\\x = 38.225  

Thus, if the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

4 0
3 years ago
What is the measure of angle 1?
Sonbull [250]

Answer:

angle 1 = 123°

Step-by-step explanation:

Here, angle 2 = 123° {being veritical opoosite angle}

so, angle 1 = angle 2 {being alternate angle}

so, angle 1 = 123°

4 0
3 years ago
Read 2 more answers
Tara is the editor of the school newspaper. She tries to devote about 1/2 of the paper to news, 1/3 to pictures, and the remaind
Klio2033 [76]
5/6 of the paper is devoted to news and pictures

first I made the fraction have equal denominators which was 6 by doing that I multiplyed the numerator and the denominator

1/2
1×3=3
2×3=6
therefore 1/2 being equivalent to 3/6


1/3
1×2=2
3×2=6
therefore 1/3 being equivalent to 2/6

now you would be able to add the numerators, so 2+3=5
therefore being 5/6 of the paper is devoted to news and pictures
4 0
3 years ago
Simplify <br><br> -2i sq.root -12
Darina [25.2K]

Answer:

= 4sqrt3

Step-by-step explanation:

-2i sqrt -12

= -2i * i sqrt12 <-- i^2 = -1

= -2i^2sqrt12

= -2(-1)sqrt12

= 2sqrt12

= 2 * 2 sqrt3

= 4sqrt3

6 0
2 years ago
ASAP PLEASE HELP!!!
Mariulka [41]

Z score = (x -mean) /  standard deviation.

For this problem X = 50 cm.

Z-score = (50 - 49.2) / 1.8

Z score = 0.8 / 1.8

Z score = 0.44

Look up 0.44 on a z-score table.

0.44 = 0.6700

0.67 x 100 = 67% will be 50 cm or longer.

8 0
3 years ago
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