Answer:
Therefore Marcus is incorrect.
Step-by-step explanation:
Total ticket that Marcus bought= 100%.
Marcus used 50% of ticket on rides.
and he used
of the tickets on the video games.
The percentage form of any number x is

The percentage form of
is

=25%
Therefore rest tickets are
=Total ticket-( ticket used in rides + ticket used in video games)
=100% - (50%+25%)
=100% - 75%
=25%
Therefore he used 25% of tickets in batting cage.
But he said that Marcus said that he used 24% of ticket in batting cage.
Therefore Marcus is incorrect.
Answer:
a) 14960 bottles
b) 502 bottles
Step-by-step explanation:
Given that:
Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces
a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).
Therefore 68% fall within 0.14 ounces of the mean
the number of bottle = 22,000*68% = 14960 bottles
b) To solve this we are going to use the z score equation given as:
where x is the raw score = 23.72

From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228
The number of rejected bottles = 22000 × 0.0228 = 502 bottles
Answer:
47.8°
Step-by-step explanation:
Let's first outline the important parameters
--- <V = 90°
Vt = 64
UV = 43
The angles in a triangle sums up to 180,but we don't have up to 2 angles given so as to find the third one. What we have to is to find the second angle,in this case T,using the sine rule.
Sin v/v = sin t/t
(Sin 90)/64 = sin t/43
Cross multiply and we have
43 sin 90 = 64 sin t
Sin t = 43 sin 90 ÷ 64
Sin t = 0.6719
Sine inverse of t = 42.2°(the second angle)
Angle U = 180 -( 90 + 42.2)
180 - 132.2
= 47.8°
13 red, 5 blue, 7 green...for a total of 25
percentage of green ones is : 7/25 = 0.28 = 28% <==