Six. 2 1/3=7/3-> to get to have a denominator of 6 multiply by 2 to get 14/6
Then 1/2=3/6
14/6 + 3/6 = 17/6
17/6= 2 5/6
Answer:
200 sq cm
Step-by-step explanation:
Lateral surface area is the surface area without the bases, or without the top and bottom. So, you just add up the area of the 4 sides.
The front and back are both 10 x 20, so 200 each = 400
The left and right are 5 x 20, so 100 each = 200
The lateral surface area is 200 sq. cm.
Answer:
P-value = 0.0368
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 101.5
Sample mean,
= 106.4
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 15
First, we design the null and the alternate hypothesis
We use One-tailed(right) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, students in Pennsylvania have an IQ that is significantly greater than the state average.
P-value can be calculated with the standard normal table.
P-value = 0.0368
P-value is lower than the significance level.
Answer:
56 as a product of primes using index notation is: 
Step-by-step explanation:
We need to write 56 as a product of primes.
Prime Numbers:
<em>Numbers that are divisible by 1 or itself.</em>
Now, writing 56 as product of primes
56 = 2 x 2 x 2 x 7
Now, Use index notation when giving your answer.
Index Notation:
<em>Express elements in power form i.e. if we have 2 x 2 we can write it as 2^2</em>
So, answer will be:


So, 56 as a product of primes using index notation is: 
If each spoke reaches from the center of the wheel to its rim, then that means that each spoke is as long as the radius.
To calculate radius:
C=2πr
π=3.14
C=42 inches
42=2(3.14)r
2*3.14=6.28
42=6.28r
Divide 42 by 6.28
42/6.28=6.68
length of each spoke is 6.68 inches.