To determine the missing angle of P, which measures 30 degrees, angle P and C are congruent since they are identical. The longest side, the hypotenuse, is PC, corresponding to angle T. Utilizing the Pythagorean Theorem, a² + b² = c², we find (PT)² + (CT)² = (PC)². Knowing that PT equals 4 and since PT and CT are congruent, we can restate it as (4)² + (4)² = (PC)², leading to PC being equal to rad(32). Could someone please confirm?
Response:
Step-by-step explanation:
Assuming there are 100 sour candies, thus-
since 26% of the candies are grape, it follows that 26% of 100 candies means we have 26 grape candies
Consequently, the remaining candies that are not grape amount to 100-26 = 74
Applying the multiplication principle:
P(A ∩ B) = P(A)/ P(B|A)
Initially, there are 26 grape candies, therefore the probability of selecting the first grape candy = 26C1 = 26
After choosing the first one, we put the selected grape candy back, so there are still 100 candies total P(B|A) = 100C3 = 100 x 99 x 98 x 97!/3! X 97!
= 50 x 33 x 98
Thus, the probability becomes 1/ 50 x 33 x 98 x 26
= 1/4204200
Each of the six payments amounts to $41.50
Step-by-step breakdown:
Given,
Total cost of the bike including taxes = $349
Initial payment = $100
Remaining balance = Total cost of bike - Initial payment
Remaining balance = 349 - 100
Remaining balance = $249
She opts to pay in six equal installments, so we divide the total remaining by 6.
Monthly payment = 
Monthly payment = 
Each of the six payments amounts to $41.50
Keywords: division, subtraction
Learn more about subtraction at:
Answer: 0.1289
Step-by-step explanation:
Given: The proportion of students absent on Mondays at a large university.: 
Sample size: 
Mean: 
Standard deviation = 
Let x represent a binomial variable.
Referencing the standard normal distribution table,
(1)
Z score for normal distribution:-
For x=4
For x=3
Thus, from (1)
Consequently, the likelihood of four students being absent = 
It exhibits a zero slope.
In the case of a horizontal line, the slope remains constant at 0 since there is no variation.
