Answer:
9.6 ounces
Step-by-step explanation:
Step 1
We find the amount of ounces of Almonds
Total amount of nuts in the container = 24 ounces
0.20 of the nuts are almonds.
Hence,
The amount of almonds = 0.20 × 24 ounces
= 4.8 ounces
Step 2
We find the amount of ounces of hazelnuts
Total amount of nuts in the container = 24 ounces
0.20 of the nuts are hazelnuts.
Hence,
The amount of hazelnuts = 0.20 × 24 ounces
= 4.8 ounces
Step 3
Therefore, the total amount of almonds and hazelnuts in the can is
4.8 ounces + 4.8 ounces
= 9.6 ounces
Answer:
BD = 26
The measure of angle ADB = 59 degrees
The measure of angle DEC = 118 degrees
Step-by-step explanation:
BD = 2 * EC = 2 * 13 = 26
The measure of angle ADB = 90 - 31 = 59 degrees
The measure of angle DEC = 180 - 2(31) = 180-62 = 118 degrees
Answer:
75% of the households have between 2 and 6 televisions
Step-by-step explanation:
From the question, we can deduce the following;
sample size n= 8
sample mean μ = 4
standard deviation σ = 1
Using Chebychev’s theorem;
P(2 ≤ X ≤ 6) = P(2-4 ≤ (X - μ) ≤ 6-4)
= P(-2 ≤ (X-μ) ≤ 2) = P(|X-μ| ≤ kσ) ≥ (1 - 1/k^2) ≥ (1- 1/2^) = 1- 0.25 = 0.75 ( same as 75%)
Proving the converse of the Pythagorean Theorem means proving that if the <u>sum</u> of the squares of the lengths of the <u>shorter</u> sides of a triangle equals the square of the length of the <u>longest</u> side, then the triangle is a right angle triangle.
Here's the equation:
(short side)² + (short side)² = (long side)²
find the mean, median, and interquartile range for the data set below. 5,8,9,11,13,15,16,17,17,18,22,23
Alekssandra [29.7K]
Answer:
Mean: 14.5
Median: 15.5
IQR = 7.5
Step-by-step explanation:
For mean:
Mean= (∑x)/n
=(5+8+9+11+13+15+16+17+17+18+22+23)/12
= 174/12
=14.5
Median:
As the data is already sorted and the number of items are odd, average of two middle values will be the median of the data.
5,8,9,11,13,15,16,17,17,18,22,23
Median=(15+16)/2
=31/2
=15.5
IQR:
For IQR, the data has to be divided in two parts, lower and upper, then we have to find the median of both parts separately. The difference of medians of both parts is called the Interquartile range.
So for lower part,
5,8,9,11,13,15
Median for lower part= (9+11)/2
= 20/2
=10
For upper part:
16,17,17,18,22,23
Median for lower part= (17+18)/2
= 35/2
=17.5
IQR=17.5-10
=7.5