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3 years ago

6

Help on this question ASAP PLEASE!!!

1 answer:

serious [3.7K]3 years ago

4 0

X=4 is the answer if you are looking for x

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Assume that the random variable X is normally distributed, with mean mu equals 100 and standard deviation sigma equals 20. Comp

TEA [102]

Answer: 0.2119

Step-by-step explanation:

We assume that the random variable X is normally distributed.

Given : Population mean : $\mu=100$

Standard deviation : $\sigma=20$

Z-score : $z=\dfrac{x-\mu}{\sigma}$

Then, z-score corresponds to 116

$z=\dfrac{116-100}{20}=0.8$

By using the standard normal distribution table for z , we have

$P(x>116)=P(z>0.8)=1-P(z\leq0.8)$

$=1-0.7881446\approx0.2119$

Hence, the required probability = 0.2119

4 0

4 years ago

Find all seventh roots of unity and sketch them on the axis below.

jarptica [38.1K]

There is no picture??

4 0

3 years ago

What is the surface area in square inches of the prism

Lerok [7]

Answer: the answer is 25

Step-by-step explanation:

7 0

3 years ago

Rewrite without absolute value for the given conditions: y=|x−5|+|x+5|, if x>5

julia-pushkina [17]

Answer:

$y=2x$ if $x>5$

Problem:

"Rewrite without absolute value for the given conditions: y=|x−5|+|x+5|, if x>5"

Step-by-step explanation:

Let's figure out when the insides of the absolute values are positive and negative, and then see where the given condition that x>5 fits into that.

$|x-5|=x-5$ if $x-5$ is positive or 0, $\ge 0$ .

$x-5 \ge 0$

Add 5 on both sides:

$x \ge 5$ .

$|x-5|=-(x-5)$ if $x-5$ is negative or zero, $\le 0$ .

$x-5 \le 0$

Add 5 on both sides:

$x \le 5$

Since $x>5$ then we will choose $|x-5|=x-5$ .

---

$|x+5|=x+5$ if $x+5$ is positive or 0, $\ge 0$ .

$x+5 \ge 0$

Subtract 5 on both sides:

$x \ge -5$ .

$|x+5|=-(x+5)$ if $x+5$ is negative or zero, $\le 0$ .

$x+5 \le 0$

Subtract 5 on both sides:

$x \le -5$

Since $x>5$ then we will choose $|x+5|=x+5$ .

--

$y=|x−5|+|x+5|$ with $x>5$ :

$y=(x-5)+(x+5)$

$y=(x+x)+(-5+5)$

$y=(2x)+(0)$

$y=2x+0$

$y=2x$

6 0

3 years ago

Help [7.3 - 0.24 + (5 - 2.3 )] - (1.37 + 0.982 =

nataly862011 [7]

Answer:

2.8

Step-by-step explanation:

[7.3-0.24+(2.7)]-(2.352)

[7.3-2.94]-(2.352)

[4.36]-(2.352)

2.008

8 0

3 years ago