PLEASE HELP FIRST ANSWER GETS BRAINLIEST OR WHATEVER ITS CALLED

Use radical notation to rewrite each expression and simplify<br> 9 3/2

scoundrel [369]

Answer:

$9^{\frac{3}{2}}=\sqrt{9^3}=27$

Step-by-step explanation:

The fractional exponent m/n is often translated to radical form as ...

$x^{\frac{m}{n}}=\sqrt[n]{x^m}$

In this case, I find it easier to evaluate as ...

$x^{\frac{m}{n}}=(\sqrt[n]{x})^m=\boxed{(\sqrt{9})^3=3^3=27}$

7 0

3 years ago

Please help?? its unit rate so plz help tell me how to do it

Lelechka [254]

Answer:

1.2 dollars

Step-by-step explanation:

You have to divide the dollar count by the pound count.

So basically:

6/5

This gives you 1.2 dollars.

When you do unit rate, you just have to divide one value by the other value.

The value you divide by, and the value you divde, vary depending on what the question asks.

For instance, if this question asked what the pound count for 1 dollar would be, you would end up divide the 5 pounds by 6 dollars(5/6) instead of divideing the 6 dollars by 5 pounds like we did above(6/5).

Hope this helps!

3 0

3 years ago

Read 2 more answers

12. The Opera is collecting monies in advance for ticket sales. The tickets cost $17.50 each.

Debora [2.8K]

Answer:

The number of tickets they have sold in advance are summed up with the following equation and solution:

Equation: $\frac{6842.50}{17.50}$ [the final answer should be in dollars]

Solution: The Opera sold 391 tickets in advance.

Step-by-step explanation:

First: Review some background information:

Let's see what the problem gives us to answer it. I'll bold out the important parts:

The Opera is collecting monies in advance for ticket sales. The tickets cost $17.50 each. If they have collected $6842.50 already, then how many tickets have they sold in advance?

We know how much the tickets cost and how much money they have earned from selling tickets, we can find out how much tickets they have sold.

Second: Solve the problem:

We can solve this problem using many ways, but I'm just going to pick one. We will use proportions to answer this. Now thoughts might be going through your head like this: What is this guy saying? What in the world is proportions? Well hopefully you learn from this example (Please don't take offense if you <em>do</em> know how to do proportions).

First we set up two fractions. One ticket costs $17.50, so we will use it to set up our first fraction: $\frac{1}{17.50}$ . We don't know how many tickets all together cost $6842.50 so we will use the variable: x. Now, we can set up our second fraction. x tickets costs $6842.50 so our second fraction will be: $\frac{x}{6842.50}$ . Now we must use cross multiplication. We multiply the numerator of the first fraction times the denominator of the second fraction, and then we multiply the denominator o the first fraction times the numerator of the second fraction. That's what we would do usually. But now, since we have a variable, we must use cross multiplication to solve for this variable. So we multiply the the numerator of the first fraction times the denominator of the other fraction and then we divide that answer times the denominator of the first fraction (You don't have to set it up like this).So let's solve this question:

$\frac{1}{17.50}$ $\frac{x}{6842.50}$

1 x 17.50 = 17.50

6842.50 ÷ 17.50 = 391

So our equation is 6842.50 ÷ 17.50, and our solution is 391 tickets

Topic: Proportions

6 0

2 years ago

The mayor of a town has proposed a plan for the annexation of an adjoining community. A political study took a sample of 1000 vo

Georgia [21]

Answer:

$z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530$

$p_v =P(z>2.530)=0.0057$

Step-by-step explanation:

Data given and notation

n=1000 represent the random sample taken

$\hat p=0.54$ estimated proportion of residents that favored the annexation

$p_o=0.5$ is the value that we want to test

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than 0.5:

Null hypothesis: $p \leq 0.5$

Alternative hypothesis: $p > 0.5$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info required we can replace in formula (1) like this:

$z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.530$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.530)=0.0057$

7 0

3 years ago

Jenna and Heidi together have $60. Jenna has $9 more than twice Heidi’s amount. How much money does each have?

Marina86 [1]

Jenna has $43 and Heidi has $17.

Step-by-step explanation:

Total amount = $60

Let,

Amount of Jenna = x

Amount of Heidi = y

According to given statement;

x+y=60 Eqn 1

x=2y+9 Eqn 2

Putting value of Eqn 2 in Eqn 1;

$(2y+9)+y=60\\2y+9+y=60\\3y=60-9\\3y=51$

Dividing both sides by 3,

$\frac{3y}{3}=\frac{51}{3}\\y=17\\$

Putting y=17 in Eqn 2

$x=2(17)+9\\x=34+9\\x=43$

Jenna has $43 and Heidi has $17.

Keywords: linear equations, substitution method

Learn more about substitution method at:

#LearnwithBrainly

4 0

3 years ago