Answer:
the base area
Step-by-step explanation: the radius and slant height are the base area of a right cone
B>a
<span>b=3a-22, b+2a=98, using b from the left in the right: </span>
<span>3a-22+2a=98 </span>
<span>5a-22=98 </span>
<span>5a=120 </span>
<span>a=24, and since b=3a-22, </span>
<span>b=50 </span>
<span>So the smaller number is 24 and the larger number is 50.</span>
Answer:
Step-by-step explanation:
We are given the following information in the question:
Percentage of of the diners who make reservations don't show up = 3%
Number of reservations = 83
Thus, we are given a binomial distribution with n = 83 and p = 0.97
Around 81 people can be expected to show up.
The standard deviation of this distribution is 1.56
Answer:
3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product
Step-by-step explanation:
This question can be solved by a rule of three.
A recipe says that 1 and 3/4 cups of baking soda are needed to make one batch of a homemade cleaning product.
1 + 3/4 cups = 1 + 0.75 = 1.75 cups for one batch.
How many total cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product?
2 and 1/2 batches is 2 + 0.5 = 2.5 batches.
1.75 cups for one batch. How many cups for 2.5 batches? So
1 batch - 1.5 cups
2.5 batches - x cups
c = 2.5*1.5 = 3.75
3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product
Step-by-step explanation:
756 = 2² * 3³ * 7.
For 756n to be a perfect cube, all of its prime factors must have a power that is a multiple of 3.
How to get from 2² to 2³: Multiply by 2.
3³ has already a power that is a multiple of 3.
How to get from 7 to 7³: Multiply by 7².
Hence n = 2 * 7² = 98.
