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3 years ago

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