Based on the following calculator output, determine the mean of the dataset, rounding to the nearest 100th if necessary. 1-Var-Stats
1-Var-Stats
x
ˉ
=
265.857142857
x
ˉ
=265.857142857
Σ
x
=
1861
Σx=1861
Σ
x
2
=
510909
Σx
2
=510909
S
x
=
51.8794389954
Sx=51.8794389954
σ
x
=
48.0310273869
σx=48.0310273869
n
=
7
n=7
minX
=
209
minX=209
Q
1
=
221
Q
1
​
=221
Med
=
252
Med=252
Q
3
=
311
Q
3
​
=311
maxX
=
337
maxX=337

step-by-step explanation:

10.50 + taxes which added up to 11.50

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°

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752