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padilas [110]
3 years ago
11

Plz help me Answer these Questions plz

Mathematics
1 answer:
Studentka2010 [4]3 years ago
7 0
I need more imformation
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A distribution has a mean of 90 and a standard deviation of 15. Samples of size 25 are drawn randomly from the population. Find
raketka [301]

Answer:

The probability is 0.04746

Step-by-step explanation:

Firstly, we calculate the z-score here

Mathematically;

z-score = x-mean/SD/√n

Where from the question;

x = 85, mean = 90 , SD = 15 and n = 25

Plugging these values into the equation, we have;

Z = (85-90)/15/√25 = -5/15/5 = -1.67

So the probability we want to calculate is ;

P(z > -1.67)

We use the standard normal distribution table for this;

P(z > -1.67) = 0.04746

4 0
3 years ago
Use a truth table to verify the first De Morgan law (p ∧ q)’ ≡ p’ ∨ q’.
Nutka1998 [239]

Answer:

(p ∧ q)’ ≡ p’ ∨ q’

Step-by-step explanation:

First, p and q have just four (4) possibilities, p∧q is true (t) when p and q are both t.

p ∧    q

t t t

t f f

f f t

f f f

next step is getting the opposite

(p∧q)'

    <em>f</em>

<em>     t</em>

<em>     t</em>

<em>     t</em>

Then we get p' V q', V is true (t) when the first or the second is true.

p' V  q'

f  <em>f</em>  f

f  <em>t</em>  t

t  <em>t</em>  f

t  <em>t</em>  t

Let's compare them, ≡ is true if the first is equal to the second one.

(p∧q)'   ≡     (p' V q')

    <em>f              f </em>

<em>     t              t</em>

<em>     t              t</em>

<em>     t              t</em>

Both are true, so

(p ∧ q)’ ≡ p’ ∨ q’

6 0
4 years ago
HELP PLEASE!! ASAP!!
densk [106]

Answer:

The estimated distance is 8.1cm.

The actual distance is 8.106cm.

Step-by-step explanation:

Given that the Pythogorean Theorem, c² = a² + b². Then substitute the following values into the formula :

{c}^{2}  =  {a}^{2}  +  {b}^{2}

Let a = 5.1cm,

Let b = 6.3cm,

{c}^{2}  =  {5.1}^{2}  +  {6.3}^{2}

{c}^{2}  = 26.01 + 39.69

{c}^{2}  = 65.7

c =  \sqrt{65.7}

c = 8.106cm \: (3d.p)

4 0
3 years ago
Ken has already baked 4 pies and he can bake 1 pie with each additional cup of sugar he buys. With 31 additional cups of sugar,
Bumek [7]

Answer: 35 pies

Step-by-step explanation:

Ken can bake 1 pie with each additional cup of sugar he buys. 1 pie =1 cup

4 + x = y

Where;

x= additional pies

y= total pies

If 1 cup= 1 pie; then 31 cups =

31 cup × 1 pie/1 cup = x

:. x= 31 pies

y= x + 4

y= 31+4 = 35

6 0
3 years ago
Convert 11 milliliters to fluid ounces. Use 1 mL ≈ 0.034 fl oz.
VladimirAG [237]

Answer:

0.371954

Step-by-step explanation:

Formula- for an approximate result, divide the volume value by 29.574.

3 0
4 years ago
Read 2 more answers
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