Solve the equation for x. x 9 =

20+3×6= ?? Do you multiply first or add first?

Sonja [21]

Answer: You should multiply first.

Step-by-step explanation:

Please- Parenthesis

Excuse- Exponent

My- Multiply

Dear-Divide

Aunt- Addition

Sally-Subtraction

Hopes this helps you should now know what order to use when solving linear expressions or any problem.

7 0

3 years ago

What is the equation of the line that passes through the point (-5,3)(−5,3) and has a slope of fraction -6/5

Allushta [10]

Answer:

Step-by-step explanation:

Use the point-slope formula.

y - y_1 = m(x - x_1) when : x_1 = -5 and y_1 =3 and m= -6/5

the equation : y - 3 = -6/5(x +5)

5 0

3 years ago

six times jasons collection of books and one-third of nathans collection add up to 134 books one-third of jasons collection and

atroni [7]

6j + 1/3n = 134...multiply by 3....18j + n = 402
1/3j + n = 31....multiply by 3....j + 3n = 93

the multiplying by 3 is optional...I just did it because it is easier to work with equations when there are no fractions.

18j + n = 402....multiply by -3
j + 3n = 93
----------------
-54j - 3n = - 1206 (result of multiplying by -3)
j + 3n = 93
----------------add
-53j = - 1113
j = -1113/-53
j = 21

j + 3n = 93
21 + 3n = 93
3n = 93 - 21
3n = 72
n = 72/3
n = 24

so Jasons collection (j) consists of 21 books and Nathans collection (n) consists of 24 books

6 0

3 years ago

The Ohio Department of Agriculture tested 203 fuel samples across the state

Rus_ich [418]

Answer:

$\hat p = \frac{14}{105}= 0.133$

And that represent the proportion of failures.

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

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

If we replace the values obtained we got:

$0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475$

$0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185$

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

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

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

Solution to the problem

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 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

The proportion estimated would be:

$\hat p = \frac{14}{105}= 0.133$

And that represent the proportion of failures.

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

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

If we replace the values obtained we got:

$0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475$

$0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185$

The 99% confidence interval would be given by (0.0475;0.2185)

3 0

3 years ago

Read 2 more answers

The "core" inflation rate is typically defined as the change in consumer prices for all goods included in the CPI basket except

Ganezh [65]

Answer:

Higher

Step-by-step explanation:

1) In Macroeconomics, The core inflation rate does not include food and energy since these categories are way more volatile, due to oil and season matters. And statistically this measure looks for more robust items, to compose the core inflation in a more accurate way. The Consumer Prices Index (CPI) is the metric used for the cost of living.

Another Index, used by the Fed is the PCE, for the goods and services consumed by the US residents.

So, the Core inflation is based on CPI and PCE, Personal Consumption Expenditure therefore the inflation rate for the past year was higher than 4%, for it is not solely based on CPI index.

6 0

3 years ago