Solve each exponential equation 8^x=12143

Liz flips a coin 30 times. The coin lands heads up 21 times and tails up 9 times. Complete each

SSSSS [86.1K]

Answer:

$Pr = 0.50$

Step-by-step explanation:

Given

$n = 30$

$H = 21$

$T = 9$

See attachment for complete question

Required

$P(H)$

The question requires that we calculate the theoretical probability of landing on the head.

This means that, we have to ignore the given data, and we use the following

$S =\{H,T\}$ --- sample space

$n(S) = 2$ --- sample size

$n(H) = 1$ --- occurrence of Head

So, the theoretical probability is:

$Pr = n(H)/n(S)$

$Pr = 1/2$

$Pr = 0.50$

8 0

2 years ago

An internet service provider changes an initial fee of $65 and $18 per hour of labor for office internet installation. Which equ

OlgaM077 [116]

<h2>Answer:</h2><h2>The total cost (C) charged by the internet service provider = $65 + $18(n)</h2>

Step-by-step explanation:

Initial fee charged by the servic eprovider = $65

Cost per hour of labor for office internet installation = $18

The cost per hour be $18

Cost per two hours = 18 * 2 = $36

Cost per n number of hours = $18 (h)

where h represents the number of hours

The total cost (C) charged by the internet service provider = $65 + $18(n)

5 0

2 years ago

7 1/6 = 5 2/5 + p<br><br> p = ???

Crank

$\huge\textbf{Hey there!}$

$\mathbf{7\dfrac{1}{6} = 5\dfrac{2}{5} + p}$

$\rightarrow\mathbf{7 \dfrac{1}{6} = 5\dfrac{2}{5} + p}$

$\mathbf{\rightarrow p + 5\dfrac{2}{5}= 7\dfrac{1}{6}}$

$\mathbf{\rightarrow {p + \dfrac{27}{5}=\dfrac{43}{6}}}$

$\text{SUBTRACT }\rm{\dfrac{27}{5}}\text{ to BOTH SIDES}$

$\mathbf{p + \dfrac{27}{5} - \dfrac{27}{5} = \dfrac{43}{6}- \dfrac{27}{5}}$

$\text{CANCEL out: }\rm{\dfrac{27}{5} - \dfrac{27}{5}}\text{ because it gives you 0}$

$\text{KEEP: }\rm{\dfrac{43}{6} - \dfrac{27}{5}}\text{ because it help solve for the p-value}$

$\text{NEW EQUATION: }\rm{p = \dfrac{43}{6} - \dfrac{27}{5}}$

$\large\textsf{SIMPLIFY IT!}$

$\mathbf{p = \dfrac{53}{30} \approx p = 1\dfrac{23}{30}}$

$\huge\boxed{\textsf{Therefore, your answer is: \boxed{\mathsf{p = 1\dfrac{23}{30}}}}}\huge\checkmark$

$\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

3 0

2 years ago

Read 2 more answers

What is 1 plus 1 minus 2 plus 3

Mila [183]

Answer:3

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

A shopper purchased 4 tables and 2 chairs for $200 and 2 tables and 7 chairs for $400. What is the cost of each table and each c

I am Lyosha [343]

4t+2c=200
2t+7c=400

I will solve for c in terms of t first
4t+2c=200
2c=200-4t
c=100-2t

Then I will substitute this in for c in the second equation to make it single variable
2t+7c=400
2t+7(100-2t)=400
2t+700-14t=400
300t=12
t=25
Tables cost $25 each

Plug t back into one of the ORIGINAL equations to find the cost of chairs
4(25)+2c=200
100+2c=200
2c=100
c=50
Chairs cost $50 each

Hope this helps! :)

6 0

3 years ago