Answer:
Rate = 4.5
Step-by-step explanation:
It is given that,
A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour.
We need to find the unit rate of flour to sugar for the cookie recipe. It can be calculated as follows :
![U=\dfrac{\text{No of cups of flour}}{\text{No of cups of sugar}}\\\\=\dfrac{1\dfrac{1}{2}}{\dfrac{1}{3}}\\\\=\dfrac{\dfrac{3}{2}}{\dfrac{1}{3}}\\\\=\dfrac{3}{2}\times 3\\\\=4.5](https://tex.z-dn.net/?f=U%3D%5Cdfrac%7B%5Ctext%7BNo%20of%20cups%20of%20flour%7D%7D%7B%5Ctext%7BNo%20of%20cups%20of%20sugar%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%5Cdfrac%7B1%7D%7B2%7D%7D%7B%5Cdfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B%5Cdfrac%7B3%7D%7B2%7D%7D%7B%5Cdfrac%7B1%7D%7B3%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B3%7D%7B2%7D%5Ctimes%203%5C%5C%5C%5C%3D4.5)
So, the unit rate of flour to sugar for the cookie recipe is 4.5
Answer:
87.29%
Step-by-step explanation:
Given: Mean= 68.8 inches
Standard deviation= 2.8 inches
Now, finding the percent of the men in the sample were greater than 72 inches.
We know, z-score= ![\frac{x-mean}{standard\ deviation}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-mean%7D%7Bstandard%5C%20deviation%7D)
z-score= ![\frac{72-68.8}{2.8}](https://tex.z-dn.net/?f=%5Cfrac%7B72-68.8%7D%7B2.8%7D)
⇒ z-score= ![\frac{3.2}{2.8} = 1.14](https://tex.z-dn.net/?f=%5Cfrac%7B3.2%7D%7B2.8%7D%20%3D%201.14)
∴ z-score= 1.14
Next, using normal distribution table to find percentage.
Coverting 0.8729 into percentage= ![0.8729\times 100](https://tex.z-dn.net/?f=0.8729%5Ctimes%20100)
We get the percentage as 87.29%
Hence, 87.29% of the men in the sample were greater than 72 inches.
Answer:
-2x+-8-3x-8
Step-by-step explanation:
-2 times x =-2x
-2 times 4=-8
(100)= 0.25*100=15 times.
<span>SO, the train will be late 15 times in 100 days.
Hope i helped:P </span>
Answer:
B. 5 and 7
E. 1 and 3
F. 6 and 8
Step-by-step explanation:
The angles in matching corners are called corresponding angles.