The following frequency table shows the number of hours each of the staff members at Eroy's Electronics slept Thanksgiving night. Find the mean number of hours of sleep.

Mean

=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees

= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1

= 3+0+0+12+7+8/ 1+0+0+2+1+1

= 30 / 5

= 6

So the mean of number of hour sleep is 6 hours.

I hope this helps

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Step-by-step explanation:

Mean

=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees

= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1

= 3+0+0+12+7+8/ 1+0+0+2+1+1

= 30 / 5

= 6

So the mean of number of hour sleep is 6 hours.

I hope this helps

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°