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ehidna [41]
3 years ago
14

PLEASE HELP ASAP Tickets for 2 adults and 3 children cost $45 Tickets for 4 adults and one child cost $55 How much does each tic

ket cost?​
Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0
I got adult tickets cost 13.75 and children tickets cost 5.83
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A researcher wishes to​ estimate, with 99​% ​confidence, the population proportion of adults who think the president of their co
scoray [572]

Answer:

a. n=4148

b. n=3909

c. The sample size is smaller if a known proportion from prior study is used. The difference in sample sizes is 239

Step-by-step explanation:

a. For sample where no preliminary estimate is given, the minimum sample size is calculated using the formula:

n=p(1-p)(\frac{z}{ME})^2

Where:

  • ME=Margin of error
  • p= is the assumed proportion

#Let p=0.5, substitute in the formula to solve for n:

n=0.5(1-0.5)\times (2.576/0.02)^2\\\\=4147.36\approx 4148

Hence, the minimum sample size is 4148

b. If given a preliminary estimate p=0.38, we use the same formula but substitute p with the given value:

n=p(1-p)(z/ME)^2\\\\=0.38(1-0.38)(2.576/0.02)^2\\\\=3908.47\approx3909

Hence, the minimum sample size is 3909

c. Comparing the sample sizes from a and b:

n_{0.5}>n_{0.38}\\\\n_{0.5}-n_{0.38}=4148-3909=239

Hence, the actual sample size is smaller for a known proportion from prior a prior study.

8 0
4 years ago
Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a math
alex41 [277]

Answer:\frac{8}{3}\times \sqrt{\frac{2}{5}}

Step-by-step explanation:

Given two upward facing parabolas  with equations

y=6x^2 & y=x^2+2

The two intersect at

6x^2=x^2+2

5x^2=2

x^2=\frac{2}{5}

x=\pm \sqrt{\frac{2}{5}}

area  enclosed by them is given by

A=\int_{-\sqrt{\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left [ \left ( x^2+2\right )-\left ( 6x^2\right ) \right ]dx

A=\int_{\sqrt{-\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left ( 2-5x^2\right )dx

A=4\left [ \sqrt{\frac{2}{5}} \right ]-\frac{5}{3}\left [ \left ( \frac{2}{5}\right )^\frac{3}{2}-\left ( -\frac{2}{5}\right )^\frac{3}{2} \right ]

A=\frac{8}{3}\times \sqrt{\frac{2}{5}}

7 0
4 years ago
After graduating you have two job opportunities. Job A is offering a salary of $32,000 with annual raises of $1,500. Job B offer
worty [1.4K]

Step-by-step explanation:

are you hiring now , thats a big amount , pls give ur contact no. i will send my cv

5 0
3 years ago
In the morning, the temperature was 15∘F. During the day, the temperature fell 37 degrees. Which expression shows how to find th
tino4ka555 [31]

Answer:

- 22°F

Step-by-step explanation:

Given that :

Morning temperature = 15°F

Change in temperature = fall by 37 degree

The temperature of the end of the day:

Morning temperature + (change in temperature)

Fall by 37° = decrease in temperature by 37° = - 37°

15°F + (-37°F)

15°F - 37°F

= - 22°F

6 0
3 years ago
Blocks numbered 0-9 are placed in a box and a black is randomly picked the probability of picking an odd prime number is
Andrews [41]

Answer:

Step-by-step explanation:

B_n = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9\\B_p = 2, 3, 5, 7\\B_{o_p} = 3, 5, 7\\

There are 3 odd primes, namely : 3, 5, 7

The total amount of blocks is 9

The odds of picking and odd prime is \frac{3}{9} \cdot 100\% = 33,(3)\%

6 0
3 years ago
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