Liam earns 7.50 an hour his benefits package is equal to 25 percent of his hourly wages when you include that valid if his benef
1 answer:
Answer:
Liam earns $9.375 per hour
Step-by-step explanation:
<em>The given information is</em>
- Lima earns $7.50 per hour
- His benefits package is 25% of his hourly wages
We need to find his hourly wages when his benefits package is included
Assume that he earns 100% per hour
∵ He earns 100% per hour
∵ His benefits package is 25% of his hourly wages
→ Add 25% to 100% to find his total hourly wages
∴ He will earn = 100% + 25% = 125% of his hourly wage
→ Find the value of 125% of his hourly earn
∵ 125% of 7.50 = × 7.50 = 9.375
∴ His hourly earns = $9.375
Liam earns $9.375 per hour
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Answer:
0.67 mi
Step-by-step explanation:
The diagram illustrating the question is shown in the attach photo.
In triangle DCA,
Opposite = H
Adjacent = b
Angel θ = 27°
Tan θ = Opp /Adj
Tan 27° = H/b
Cross multiply
H = b x Tan 27°... (1)
From triangle DSA,
The diagram illustrating the question is shown in attach photo.
In triangle DCA,
Opposite = H
Adjacent = 2.3 – b
Angel θ = 34°
Tan θ = Opp /Adj
Tan 34° = H/ 2.3 – b
Cross multiply
H = Tan 34° (2.3 – b) .. (2)
Equating equation (1) and (2)
b x Tan 27° = Tan 34° (2.3 – b)
0.5095b = 0.6745(2.3 – b)
0.5095b = 1.55135 – 0.6745b
Collect like terms
0.5095b + 0.6745b = 1.55135
1.184b = 1.55135
Divide both side by 1.184
b = 1.55135/1.184
b = 1.31 mi
Substitute the value of b into any of the equation to obtain the height (H). In this case we shall use equation 1.
H = b x Tan 27°
H = 1.31 x Tan 27°
H = 0.67 mi
Therefore, the height of the drone is 0.67 mi
The sample size of the confidence interval test of a proportion is considered appropriately large if np and n(1 - p) > 5.
<span>Given that Arthur is conducting a study on the preferred study options of students from East County College and that 25% of those surveyed preferred studying abroad. Thus, p = 25% = 0.25 and 1 - 0.25 = 0.75
np = 32(0.25) = 8
n(1 - p) = 32(0.75) = 24
Thus, the sample size is appropriately large.
The margin of error is given by:
</span>
<span>
The </span>
for 95% confidence interval is 1.96
Thus, the margin of error is given by:
Therefore, the statement that holds true is "a<span>s the sample size is appropriately large, the margin of error is ±0.15".</span>
<span>Given that Arthur is conducting a study on the preferred study options of students from East County College and that 25% of those surveyed preferred studying abroad. Thus, p = 25% = 0.25 and 1 - 0.25 = 0.75
np = 32(0.25) = 8
n(1 - p) = 32(0.75) = 24
Thus, the sample size is appropriately large.
The margin of error is given by:
</span>
<span>
The </span>
Thus, the margin of error is given by:
Therefore, the statement that holds true is "a<span>s the sample size is appropriately large, the margin of error is ±0.15".</span>