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2 years ago

onah’s sister is 10 years old. Jonah is 8 years younger than twice his sister’s age. Write an expression for Jonah’s age.

Mathematics

2 answers:

Serga [27]2 years ago

5 0

Answer:

Step-by-step explanation:

Jonah sister is 10 years old. Jonah is 8 years younger than twice hos sister age

j = 2s - 8

this is the equation.

You can solve it by substituting in 10 for s, because sister is 10 years old.

alexandr402 [8]2 years ago

3 0

8-2s=j you can do it multiple ways tho

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Step-by-step explanation:

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Answer:

a) $4.85-2.33\frac{0.75}{\sqrt{20}}=4.46$

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b) $4.56-2.33\frac{0.75}{\sqrt{16}}=4.12$

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Step-by-step explanation:

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that $z_{\alpha/2}=2.33$

Now we have everything in order to replace into formula (1):

$4.85-2.33\frac{0.75}{\sqrt{20}}=4.46$

$4.85+2.33\frac{0.75}{\sqrt{20}}=5.24$

Part b

$4.56-2.33\frac{0.75}{\sqrt{16}}=4.12$

$4.56+2.33\frac{0.75}{\sqrt{16}}=4.99$

Part c

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =0.4/2 =0.2 we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(0.75)}{0.2})^2 =54.02 \approx 55$

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3 years ago