Answer:
9 times
Step-by-step explanation:
first you do 14 - 2.75 which equals 11.25. you divide that number by 1.25 which equals 9 in total, getting you your answer
Answer:
P(X) is 7/10
P(not X) is 3/10
Step-by-step explanation:
The total is 10 so thats ur denominator
The probability of landing on a grey area is 7/10
The probability of not landing on a grey area is 3/10
Hope this helps
<h3>
Answer:</h3>
A) 177.568 thousand.
B) 125.836 thousand.
<h3>
Step-by-step explanation:</h3>
In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.
Equation we're going to use:

We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.
Lets solve the question.
Question A:
We need to find the ladybug population is 2024.
2024 is 14 years after 2010, so our "x" variable will be replaced with 14.
Your equation should look like this:

Now, we solve.

You should get 177.568
This means that the population of ladybugs in 2024 is 177.568 thousand.
Question B:
We need to find the ladybug population is 2060.
2060 is 50 years after 2010, so the "x" variable would be replaced with 50.
Your equation should look like this:

Now, we solve.

This means that the population of ladybugs in 2060 would be 125.836 thousand.
<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
<h2>Steps</h2>
So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:

From here we can solve for x. Firstly, divide both sides by √2.

Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:

Next, divide:

<h2>Answer</h2>
<u>In short, the length of one leg of the triangle is 9√2 cm.</u>
Answer:
Step-by-step explanation:
a) Sample statistics are used to estimate population value. Since 48% is a sample proportion, therefore, it is a sample statistic.
b) For 95% confidence level, z* = 1.96.
\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.61\pm 0.61\sqrt{\frac{0.61(1-0.61)}{1578}}=0.61\pm 0.024 \ or (0.586, 0.634).
We are 95% confident that the true proportion of US residents who think marijuana should be made legal lies between 58.6% and 63.4%.
c)
\\np=1578(0.61)=962.58
\\n(1-p)=1578(1-0.61)=615.42
Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.
d) As the lower limit of confidence interval is less than 0.5, less than 50% population is also a plausible value of true proportion. This means the statement "Majority of Americans think marijuana should be legalized" is not justified.