Answer:
Step-by-step explanation:
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
The population proportion have the following distribution
And we can solve the problem using the z score on this case given by:
We are interested on this probability:
And we can use the z score formula, and we got this:
And we can find this probability like this:
1-1/2-1/4=1/4 If 75 is 1/4, then just divide to get the whole thing. 75/1/4=200
She had two hundred cards to start with. Hope this helps!!!
Answer:
- <u>BOX 1 </u>= 672.00
(14 * 12 = 168
168 * 4 = $ 672 )
2. <u>BOX 2</u> = 282.95
(Cell phone= $45 A MONTH
Eating outside = $50 A MONTH
12 .50 * 4 = 50 (4 WEEKS A MONTH )
Transportation = 131.2 A MONTH
32.80 * 4 = 131.2 (4 WEEKS A MONTH )
Movie = $16.75 A MONTH
Charity = $ 40 A MONTH
10 * 4 (4 WEEKS A MONTH )
<u> MONTHLY EXPENSE </u> = 45 + 50 + 131.2 + 16.75 + 40
<u> MONTHLY EXPENSE </u> = 282.95 )
3. <u>BOX 3</u> = 389.05
Money that can be saved = Monthly income - Monthly expense
Money that can be saved = 672 - 282.95
= 389.05
<h2><em>
<u>please give brainliest </u></em></h2>
Solutions
1) <span>Add the whole numbers first ( 7 and 2 )
</span><span>9+<span>7/8</span>+<span>11/12
2) </span></span>Find the Least Common Denominator (LCD) of
<span><span>7 / 8</span>,<span>11 / 12
</span></span>
Start by Listing Multiples
List out all multiples of each denominator, and find the first common one.
8 : <span><span>8,16,24</span>
</span>
12 : <span>12,24
</span>
Therefore, the LCD is <span>24
</span>Method 2: By Prime Factors
List all prime factors of each denominator, and find the union of these primes.
8 : <span>2,2,2
</span>
12 : <span>2,2,3
</span>
Therefore, the LCD is <span>2×2×2×3=24
3) </span>Make the denominators the same as the LCD
<span>9+<span><span>7×3 / </span><span>8×3</span></span>+<span><span>11×2 / </span><span>12×2
</span></span></span>4) Simplify. Denominators are now the same
<span>9+<span>21 / 24</span>+<span>22 / 24
5) J</span></span>oin the denominators
<span>9+<span><span>21+22 / </span>24</span></span>
6) Simplify
<span>9+<span>43 / 24
7) </span></span>Convert 43 / 24 <span>to mixed fraction
</span><span>9+1 <span>19 / 24
8) </span></span>Simplify
<span><span>10 <span>19 / 24</span></span></span>
