Answer:
10. The base of the rectangle is 3 inches
11. The tree was 21 meters tall
Step-by-step explanation:
10. 42 / 14 = 3
11. 7 x 3 = 21
Answer:
£11.85
Step-by-step explanation:
In the question, we are told that:
In 2016 she earned a monthly salary of £2,100
In 2017 she had a 3% raise
This means 3% of £2,100
3/100×£2,100 = £63
This means her salary for 2017 =
£63 + £2,100 =£2,163
Step 2
We are told in the question that she worked 42 hours per week for 45 weeks in 2017
Since her monthly pay for 2017 = £2,163
She worked 42 hours per week
There are 7 days in one week
The number of hours she worked per day = 42 hours ÷ 7 = 6 hours per day
4.345 weeks= 1 month
The number of hours she worked per month = 42 hours × 4.345 weeks
= 182.49 hours.
We can say that for 182.49 hours she was paid = £2,163
Her average pay per hour is calculated as:
If 182.49 hours = £2,163
1 hour = represented by Y
Cross multiply
182.49Y = £2,163
Y = £2,163 ÷ 182.49
Y = £11.852704258
Approximately = £11.85
Therefore, Elise Average pay per hour for the year = £11.85
Answer: Probability that this whole shipment will be accepted is 0.629
Step-by-step explanation:
The company randomly select and test 20 components and accept the whole batch if there are fewer than 3 defectives.
Applying normal distribution,
z = (x-u)/s
Where
n = number of components that were tested.
s = standard deviation
u = mean = np
p = probability that the component has defect
q = probability that the component does not have defect
x = r = the number of components
From the information given,
p = 8/100 = 0.08
q = 1-q = 1-0.08 = 0.92
n = 20
u = 20×0.08 = 1.6
s = √20 × 0.08 × 0.92 = √1.472
s = 1.21
Probability that this whole shipment will be accepted will be probability that fewer than 3 components have defects. This means that it must be lesser than or equal to 2 components.
P(x lesser than 3) =P(x lesser than or equal to 2). Therefore,
x = 2
z = (2-1.6)/1.21 = 0.33
Looking at the normal distribution table, the corresponding z score is 0.629
6V + 2(V+12) = 488
8V = 464
V = 58 mph for 6 hours
V+12=70 mph for 2 hours.
check: 58*6 = 348
70*2 = 140
348 +140 =488
the car was traveling at 70 mph on the 2nd highway
Answer:
864
Step-by-step explanation:
144x6
