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2 years ago

6

Write a function rule that represents the situation. The almond extract a remaining in an 8-oz bottle decreases by 1/6 oz for ea

ch batch b of waffle cookies?

1 answer:

katen-ka-za [31]2 years ago

3 0

f(b) = -1/6b + 8. Is the function rule if you want. further explanation just ask.

You might be interested in

15 more than -8 is:<br><br> can i please have a answer

RoseWind [281]

Answer:

7

Step-by-step explanation:

15+-8=7

4 0

2 years ago

Read 2 more answers

What are the counting numbers in base 6

WITCHER [35]

In the base 6 number system, we would only use numerals from 0 to 5. The idea of base 6 is just like the normal base 10 system, however instead of using the numerals from 0 to 9, we use numerals from 0 to 5. And instead of having a ones digit, a tens digit, a hundreds digit and so on, we use a ones digit, a sixes digit, a thirty-sixes digit, and so on. Therefore in base 6, the number 321 means 1 one plus 2 sixes plus 3 thirty-sixes, or 121. So to count until 15 for example, we would need:

Base 6 Base 10

1 1

2 2

3 3

4 4

5 5

10 (1 six plus 0 ones) 6

11 (1 six plus 1 one) 7

12 (1 six plus 2 ones) 8

13 9

14 10

15 11

20 (2 sixes plus 0 ones) 12

21 (2 sixes plus 1 one) 13

22 14

23 15

8 0

3 years ago

My brother wants to estimate the proportion of Canadians who own their house.What sample size should be obtained if he wants the

AVprozaik [17]

Answer:

a) $n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

b) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

If solve n from equation (a) we got:

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

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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

And replacing into equation (b) the values from part a we got:

$n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07$

And rounded up we have that n=1476

Part b

For this case since we don't have a prior estimate we can use $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681$

And rounded up we have that n=1681

8 0

3 years ago

List 3 values that would make this inequality true for 7 + x < 13

Blizzard [7]

Three values that would make this true:

5
4
3

8 0

2 years ago

Solution of the equation<br> 3x/5+1=4x/15+7

Anika [276]

Answer:

x = 18

Step-by-step explanation:

Given

$\frac{3x}{5}$ + 1 = $\frac{4x}{15}$ + 7 ( subtract 1 from both sides )

$\frac{3x}{5}$ = $\frac{4x}{15}$ + 6

Multiply through by 15 to clear the fractions

9x = 4x + 90 ( subtract 4x from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

4 0

2 years ago