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Natalka [10]
3 years ago
14

Four families equally share 5 pies. How much pie will each family receive?

Mathematics
1 answer:
german3 years ago
8 0

1 1/4 because if you give each family a pie there is on pie left so you would have to split that into fourths.
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Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f
BabaBlast [244]

Answer:

153 times

Step-by-step explanation:

We have to flip the coin in order to obtain a 95.8% confidence interval of width of at most .14

Width = 0.14

ME = \frac{width}{2}

ME = \frac{0.14}{2}

ME = 0.07

ME\geq z \times \sqrt{\frac{\widecap{p}(1-\widecap{p})}{n}}

use p = 0.5

z at 95.8% is 1.727(using calculator)

0.07 \geq 1.727 \times \sqrt{\frac{0.5(1-0.5)}{n}}

\frac{0.07}{1.727}\geq sqrt{\frac{0.5(1-0.5)}{n}}

(\frac{0.07}{1.727})^2 \geq \frac{0.5(1-0.5)}{n}

n \geq \frac{0.5(1-0.5)}{(\frac{0.07}{1.727})^2}

n \geq 152.169

So, Option B is true

Hence  we have to flip 153 times the coin in order to obtain a 95.8% confidence interval of width of at most .14 for the probability of flipping a head

6 0
3 years ago
john lee's savings account has a balance of $1509.After 9 years, what will the amount of interest be at 6% compounded annually?
serious [3.7K]

Answer: $2549

<u>Step-by-step explanation:</u>

A = P(1 + r)ˣ  ; where P is Principal, r is rate, and x is time

Given:

  • P = 1509
  • r = 6%  = 0.06
  • x = 9

A = 1509(1 + 0.06)⁹

   = 1509(1.06)⁹

   = 1509(1.6895)

   = 2549.42

7 0
3 years ago
Ted is comparing the temperatures of three days in January. The temperatures on Monday and Tuesday were opposites the temperatur
Serga [27]
Someone else asked this same question earlier. This is the answer I gave them. Let me know if you have any questions.

8 0
4 years ago
Emily Elizabeth has $1.50 in dimes and nickels. She has 22 coins in all. How many nickels does she have?
Marat540 [252]

Answer:

14

Step-by-step explanation:

We can set up the following system of equations:

\begin{cases}10d+5n=150\\d+n=22\\\end{cases}, where d is the number of dimes she has and n is the number of nickels she has.

Multiplying the second equation by -5 and adding both equations lets us isolate and solve for d:

10d+5n+(-5(d+n))=150+(-5(22)),\\5d=40,\\d=8

Plugging d=8 into any of the two equations will let us solve for n:

8+n=22,\\n=\fbox{$14$}.

Therefore, she has 14 nickels.

6 0
3 years ago
0.96 is 1/10 of what?
seropon [69]

Answer:

0.96*10 is 9.6.

Step-by-step explanation:

3 0
3 years ago
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