In this item, we are given with the amounts of both the flour and sugar.
Part A:
First, we determine the total amount of recipes needed for the batch.
total amount = (4 1/5 cup) + (2 3/7 cup)
total amount = 232/35 cup
To determine the total amount of sugar needed for 4/9 of the recipe, we multiply the given amount of sugar by 4/9. That is,
amount of sugar = (4/9)(2 3/7)
<em> amount of sugar = 68/63 cups of sugar</em>
Part B: To determine the amount of flour needed is 3 times the given amount for each batch.
amount of flour = (3)(4 1/5 cups of flour)
<em> amount of flour = 63/5 cups or 12.6 cups of flour</em>
Answer: a) 1683
<u>Step-by-step explanation:</u>
First, let's find the z-score using the formula: ![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
![z=\dfrac{51-49.2}{1.8}=\dfrac{1.8}{1.8}=\boxed{1.00}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B51-49.2%7D%7B1.8%7D%3D%5Cdfrac%7B1.8%7D%7B1.8%7D%3D%5Cboxed%7B1.00%7D)
Next, refer to the z-score table below to find the value of 1.00
Look on the left side for 1.0 and the top for 0.00 to find the percent for 1.00. The table shows the percent above the MEAN so you need to add the percent below the mean (50%) to the value in the table.
0.3413
<u>+ 0.5 </u>
0.8413
Now multiply that percent by the total number (2000) of girls to find out the quantity of girls who are 51 cm or shorter.
0.8413
<u>× 2000</u>
1682.6
Answer:
Step-by-step explanation:
∠3 = 180 - ∠1 {linear pair}
= 180 - 105
= 75°
∠2 = ∠3 {Corresponding angles"
∠2 = 75