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Monica [59]
3 years ago
11

URGENT, PLEASE ANSWER. Joshua was taking a trip to an amusement park with his family. To get his family in, his parents had to p

urchase two adult tickets, one child ticket, and one toddler ticket. The cost of an adult ticket was $45.50. A child ticket was 8/10 of the price of an adult ticket, and a toddler ticket was 2/5 of the price of an adult ticket. Part A: What was the cost of a child ticket? Part B: What was the cost of a toddler ticket?
Mathematics
1 answer:
ASHA 777 [7]3 years ago
5 0
Child ticket is $36.00
toddler ticket is $18.20
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(1 point) A recent report for a regional airline reported that the mean number of hours of flying time for its pilots is 56 hour
Ray Of Light [21]

Answer:

(53.812 ; 58.188) ; 156

Step-by-step explanation:

Given that :

Sample size (n) = 51

Mean (m) = 56

Standard deviation (σ) = 9.5

α = 90%

Using the relation :

Confidence interval = mean ± Error

Error = Zcritical * (standard deviation / sqrt (n))

Zcritical at 90% = 1.645

Error = 1.645 * (9.5 / sqrt(51))

Error = 1.645 * 1.3302660

Error = 2.1882877

Hence,

Confidence interval :

Lower boundary = 56 - 2.1882877 = 53.8117123

Upper boundary = 56 + 2.1882877 = 58.1882877

Confidence interval = (53.812 ; 58.188)

2.)

Margin of Error (ME) = 1.25

α = 90%

Sample size = ((Zcritical * σ) / ME)^2

Zcritical at 90% = 1.645

Sample size = ((1.645 * 9.5) / 1.25)^2

Sample size = (15.6275 / 1.25)^2

Sample size = 12.502^2 = 156.3000

Sample size = 156

3 0
3 years ago
Given: AABC, m_ACB=90°,<br> CD 1 AB, m ZACD=60º,<br> BC = 6 cm<br> Find: CD, Area of AABC
just olya [345]

Answer:

Look below

Step-by-step explanation:

Given that CDB is 90 degrees, ACB is 90 degrees, and ACD is 60 degrees, we can determine that DCB = 90-60 = 30 degrees.

This means triangle BCD is a 30-60-90 (angle measures) right triangle

The proportions of the sides (from smallest to largest) is

x:x√3:2x

We are given that BC = 6 cm. This means...

2x=6

x=3

This means DB is 3 cm and CD is 3√3 cm

Using the linear pair theorem, we can find that Angle CDA is 90 degrees. This means ACD is also a 30-60-90 triangle.

x=3√3

x√3=9

2x=6√3

Now we need to find AB

AB = AD + DB

AB = 9 + 3

AB = 12 cm

Area = \frac{1}{2} bh = \frac{1}{2}(12)(3\sqrt3)=6(3\sqrt3)=18\sqrt3

8 0
3 years ago
The system of equations is coincident. What are the missing values?
FrozenT [24]
\rm x+3y=5|*4 \\ \\ 4*x+4*3y=4*5 \\ \\ \boxed{\rm 4x+12y=20}
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3 years ago
Rectangle has a vertices at (-1,4), (-1,-1) and (4, -1) where is the fourth vertex located
erica [24]

Answer:

(4,4)

Step-by-step explanation:

1. I drew a grid and plotted the 3 points I already knew

2. I found the spot that had the same x coordinate that the point to the bottom left of the shape, and the same y coordinate of the top right of the shape which was the point (4,4)

I hope this helps!!

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The height of an acorn falling out of a tree is given by n = -16t2 + b. If an acorn takes 1 second to fall to the ground. What i
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