Answer:
15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 25 charged purchases and a standard distribution of 2
This means that 
Proportion above 27
1 subtracted by the pvalue of Z when X = 27. So



has a pvalue of 0.8413
1 - 0.8413 = 0.1587
Out of the total number of cardholders about how many would you expect are charging 27 or more in the study?
0.1587*100% = 15.87%
15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.
Answer:
C) x2 + x = 306
Step-by-step explanation:
x2 + x = 306
x2 + x - 306 = 0
x2 + 18x - 17x + 18 * (-17) = 0
x ( x + 18) - 17 (x +18) =0
(x + 18) (x - 17 ) = 0
x = -18 or 17
1/4 + 2/4= 3/4. They together ate 3/4 of the apple. Hope this helped :)
'One third' as a decimal is 1 ÷ 3 = 0.333333..... ⇒ The decimal is recurring
'One fifth' as decimal is 1 ÷ 5 = 0.2 ⇒ The decimal terminates at the tenth value
'One seventh' as decimal 1 ÷ 7 = 0.142857142857.... ⇒ The decimal is recurring for every digit between 1 and 7
'One ninth' as decimal 1 ÷ 9 = 0.111111.... ⇒ The decimal is recurring
Answer: one fifth
Answer:
70° and 110°
Step-by-step explanation:
It is given that, two parallel lines l and m are intersected by a transversal t.
The interior angles on same side of transversal are (2x−8)° and (3x−7)°.
We need to find the measure of these angles.
We know that, the sum of interior angles of the same side of the transversal is equal to 180°. So,
(2x−8)° + (3x−7)° = 180°
⇒ 5x-15=180°
⇒5x=180°+15
⇒5x=195
⇒x=39
Put x = 39 in (2x−8)°,
(2x−8)° = (2(39)-8)°
=70°
Again put x = 39 in (3x−7)°,
(3x−7)° = (3(39)-7)°
=110°
So, the measure of these angles are 70° and 110°.