Which function describes the granh below?

When 18 is subtracted from six times a certain number,the result is -42. what is the number?

vredina [299]

Let x be the number.

Then;

6x-18=-42 (solve for x now)
6x=-42+18
6x=-24
x=-4

Therefore, this number would be -4.

Hope I helped :)

7 0

3 years ago

Read 2 more answers

Determine the sample size needed to construct a 90% confidence interval to estimate the population proportion when p = 0.65 and

WINSTONCH [101]

Answer:

n=170

Step-by-step explanation:

1) Notation and definitions

$n$ random sample taken (variable of interest)

$\hat p=0.65$ estimated proportion.

$p$ true population

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

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

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 $\alpha=1-0.90=0.1$ 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 $ME =\pm 0.06$ 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:

$n=\frac{0.65(1-0.65)}{(\frac{0.06}{1.64})^2}=169.968$

And rounded up we have that n=170

6 0

3 years ago

What is the expanded form is 5.2684

jek_recluse [69]

The answer is 5+0.2+0.06+0.008+0.0004

4 0

3 years ago

Does Anyone know this?

lukranit [14]

Answer:

∠AEC = 139°

Step-by-step explanation:

Since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1

∠AED = ∠AEB + ∠BEC + ∠CED = 180 ← straight angle

Substitute values into the equation

11x - 12 + 4x + 1 + 4x + 1 = 180, that is

19x - 10 = 180 ( add 10 to both sides )

19x = 190 ( divide both sides by 19 )

x = 10

Hence

∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11, hence

∠AEC = (15 × 10) - 11 = 150 - 11 = 139°

6 0

3 years ago

A shortage of gold causes the price of gold wire to increase by 140%. If 10 feet of gold wire previously cost $50, what is the n

Marianna [84]

The increase in price is 140% of the original price.
The original price was 100% of the original price since 100% is a whole quantity.
Now the new price is 140% more than it was, so the new price is
100% + 140% of the old price.
100% + 140% = 240%

Now we find 240% of $50.
To find a percent of a number, multiply the percent by the number.

240% of $50 =
= 240% * $50
= 2.4 * $50
= $120

Answer: 10 ft of gold wire now costs $120
Gold wire now costs $12 per foot.

8 0

3 years ago