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prohojiy [21]
2 years ago
13

For a standard normal distribution, find the approximate value of p (negative 0.78 less-than-or-equal-to z less-than-or-equal-to

1.16). use the portion of the standard normal table below to help answer the question.
Mathematics
1 answer:
topjm [15]2 years ago
8 0

The approximate value of P(-0.78 ≤ Z ≤ 1.16) is obtained being 0.6593

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have  X \sim N(\mu, \sigma)

(X is following normal distribution with mean \mu and standard deviation \sigma)

then it can be converted to standard normal distribution as

Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

P(Z \leq z) = P(Z < z) )

Also, know that if we look for Z = z in z-tables, the p-value we get is

P(Z \leq z) = \rm p \: value

For this case, we have to find:

P(-0.78\leq Z \leq 1.16)

It can be rewritten as:

P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z < -0.78) \\P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z \leq -0.78)

The p-values for Z = 1.16 and Z = -0.78 from the z-table is found as 0.8770 and 0.2177 respectively, and therefore, we get:

P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z \leq -0.78)\\P(-0.78\leq Z \leq 1.16) = 0.8770 - 0.2177 = 0.6593

Thus, the approximate value of P(-0.78 ≤ Z ≤ 1.16) is obtained being 0.6593

Learn more about z-score here:

brainly.com/question/21262765

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8 1/4 divied by d = 2/11 what is d
Luda [366]

Answer:

d = 363/8

Step-by-step explanation:

Let's write this as a fraction:

   8 1/4          2

------------- = -------

      d            11

One way in which this could be approached would be to interchange 'd' and '2:'

   8 1/4          d                   33             d

------------- = -------      or    -------- =  ---------

      2            11                   4(2)          11

           

Multiplying both sides by 11 isolates d:

33(11)                     363

-------- = d, or d = ----------

   8                           8

7 0
2 years ago
Y is inversely proportional to x.<br> When x=9, y = 8.<br> Find y when x= 6.
Pani-rosa [81]

Answer:

it should be 5

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Which of the terms cannot be combined with the others?<br><br> 11 x<br> x<br> -3 x<br> 4 x 2
tiny-mole [99]

Answer: D. 4<em>x</em>^2

<em>Hope this helps!</em>

5 0
2 years ago
The cloth top of the gazebo in Mr. Chang’s backyard has ripped from weathering. He needs to know the area of the cloth so he can
antoniya [11.8K]

Answer:

<u>The correct answer is A. 60 square feet.</u>

Step-by-step explanation:

1. Let's review the data provided to us for solving the question:

The gazebo in Mr. Chang's backyard, according to the figure, is a square pyramid because its base is a square of 6 feet as length of its sides.

Length of the sides of the base = 6 feet

Slant length = 5 feet

Height = 4 feet

2. How much cloth, in square feet, will Mr. Chang need, assuming he does not need to replace the cloth at the bottom of the figure?

Area of a square pyramid = Base area + 1/2 Perimeter * Slant length

Replacing with the real values, we have:

Area of a square pyramid = 6 * 6 + 1/2 (6 + 6 + 6 + 6) * 5

Area of a square pyramid = 36 + 1/2 (24) * 5

Area of a square pyramid = 36 + 12 * 5

Area of a square pyramid = 36 + 60

Area of a square pyramid = 96 feet ²

3. But remember than Mr. Chang doesn't need to replace the cloth at the bottom of the gazebo.

So we need to subtract the area of the base to the area of the square pyramid:

Area of the square pyramid - area of the base

Area of the base = 6 * 6 = 36 feet ²

96 feet ² - 36 feet ² = 60 feet ²

<u>The correct answer is A. 60 square feet.</u>

7 0
3 years ago
Read 2 more answers
PLZ HELP AND SHOW YOUR WORK &lt;3333<br><br><br> Substitution.<br><br> 3x+2y=11<br><br> y=5x-1
liraira [26]
Hey there! :D

Substitute y for 5x-1. 

3x+2y=11

y=5x-1

3x+2(5x-1)=11

3x+10x-2=11

13x-2=11

13x=13

x=1

Now, plug that in to find y.

y=5x-1

y=5(1)-1

y=5-1

y=4

(1,4) <== the solution

I hope this helps!
~kaikers
8 0
3 years ago
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