Answer:
549
Step-by-step explanation:
<u>G</u><u>iven </u><u>:</u><u>-</u><u> </u>
- A sequence 4 , 9 , 14 , ...
And we need to find out the 110th term . the given sequence is in Arithmetic progression . So the common difference is 9 -4 = 5 . Now using the formula to find out the nth term of AP ,
<u>Using</u><u> </u><u>formula</u><u> </u><u>:</u><u>-</u><u> </u>
T_n = a + ( n -1)d
T_n = 4 + (110-1)5
T_110 = 4 + 109*5
T_110 = 4 + 545
T_110 = 549 .
<u>Hence </u><u>the </u><u>1</u><u>1</u><u>0</u><u> </u><u>th </u><u>term </u><u>is </u><u>5</u><u>4</u><u>9</u><u> </u><u>.</u>
You can buy six candy bars, hope this helped!
Answer:
63 degrees
Step-by-step explanation:
(180-54)/2=126/2=63
Answer:
With 95% confidence when n equals 44, the population mean is between a lower limit of 33.96 and an upper limit of 40.04
Step-by-step explanation:
Confidence Interval = mean + or - Error margin (E)
mean = 37
sd = 10
n = 44
degree of freedom = n - 1 = 44 - 1 = 43
t-value corresponding to 43 degrees of freedom and 95% confidence level is 2.0165
E = t × sd/√n = 2.0165×10/√44 = 3.04
Lower limit = mean - E = 37 - 3.04 = 33.96
Upper limit = mean + E = 37 + 3.04 = 40.04
95% confidence interval is between 33.96 and 40.04
a) The expression to find the sale price of pastry = 0.75 x
b) The regular price of the pastry bought by Kimberly = $2.70
Step-by-step explanation:
Step 1 :
Let x be the regular price of the pastry in the bakery
Percentage of discount = 25%
Amount of discount = 0.25 x
The expression to find the sale price of pastry = x - 0.25 x = 0.75 x
Step 2 :
Sale price of the pastry bought by Kimberly = $2.03 = 0.75 x
<u>To find the regular price</u>
0.75x = 2.03
x =
= 2.70
Regular price of the pastry bought by Kimberly = $2.70
Step 3 :
Answer :
a) The expression to find the sale price of pastry = 0.75 x
b) The regular price of the pastry bought by Kimberly = $2.70