Answer:
Step-by-step explanation:
You are to make 5 assemblies.
Each assembly requires the use of 1 Type A bolt.
To make the 5 assemblies, you need 5 Type A bolts.
The container of bolts has a total of 60 bolts.
The focus - Type A bolts - is 20 out of this 60.
The probability of obtaining a Type A bolt at all, is 20/60, which is = 1/3
(A) What is the probability of taking the exact number of Type A bolts you need for your 5 assemblies, if you randomly take 10 bolts from the container?
- The exact number of Type A bolts you need for the 5 assemblies is 5
1/3 × 5/10 = 5/30 = 1/6 = 0.167
(B) What is the probability of taking/having less than 5 Type A bolts out of the randomly selected 10 bolts? The solution is to sum up the following:
1/3 × 4/10 = 0.133
1/3 × 3/10 = 0.1
1/3 × 2/10 = 0.067
1/3 × 1/10 = 0.033
1/3 × 0/10 = 0
TOTAL = 0.333
Based on the information given, the simple interest rate that will be earned will be 13.6%.
- Principal = $5250
- Simple Interest = $6500- $5250 = $1250
- Time = 21 months = 1.75 years.
Simple Interest = PRT / 100
1250 = (5250 × 1.75 × R) / 100
Cross multiply
125000 = 9187.5R
R = 125000 / 9187.5
R = 13.6%
Read more on simple interest on:
brainly.com/question/24429956
Two lines are parallel if they intersect.
The answer is letter C.
In the grocery, the prices per product is represented by:
$2.80/8 ounce
$0.35/ounce
Converted to pounds...
$5.6/lb
In the farmer's market, the prices per product is represented by:<span>
</span>$4.2/ 14 ounces
$0.30/ounce
Converted to pounds...
$4.8/lb
The farmer's market blueberries is cheaper than the grocery's by $0.80 per pound.
Answer:
Step-by-step explanation:
<em>Refer to attached picture</em>
- The height = h
- Angles of elevation 22.6° and 38.3°
- Closer distance = d
<u>Use tangent to solve</u>
- tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
- tan 38.3° = h/d ⇒ h = d tan 38.3° ⇒ h = 0.79d
<u>Compare the equations above and find the value of d:</u>
- 0.42(d + 17) = 0.79d
- 0.42d + 7.14 = 0.79d
- 0.79d - 0.42d = 7.14
- 0.37 d = 7.14
- d = 7.14/0.37
- d = 19.3 m
<u>Now find the value of h:</u>
- h = 0.79d
- h = 0.79*19.3
- h = 15
Wave Rock is 15 m tall
