How do you simplify (4/9)²?

What is the value of x? (Please help ASAP)

Rudiy27

Answer:

110

Step-by-step explanation:

Bigger then 90 less than 120

7 0

3 years ago

Read 2 more answers

X=y+2<br> X=2y+1<br><br> Solving Systems of Equations by subtraction <br> Please solve this

vivado [14]

Answer:

$x=3$

$y=1$

Step-by-step explanation:

We can subtract the first equation from the second to find the value of $y$ , although we can also do this vice versa.

$x-x=2y+1-y-2$

$y-1=0$

$y=1$

Now, we can use substitution to solve for $x$ :

$x = y+2$ (pick any equation for substitution)

$x=1+2$

$x=3$

Hope this helps :)

8 0

2 years ago

Whats the least common denominator of the expression g to the second power over 9 minus g to the second power plus 14 plus g ove

creativ13 [48]

Answer:

The least common denominator of the expression is 72g.

Step-by-step explanation:

First, let us write the expression out mathematically

$\frac{g^{2} }{9} - g^{2} + 14 + \frac{g}{24g} + 8g^{2}$

The denominators in the expression are 9 and 24g. To find the least common denominator, we will determine the least common multiple of the numbers (9 and 24) first, and then find the least common multiple of the result and g (since it is the only letter).

Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...

Multiples of 24 = 24, 48, 72, 96, ...

The least common multiple of 9 and 24 is 72.

Then, the least common multiple of 72 and g is 72g

Hence, the least common denominator of the expression is 72g.

7 0

3 years ago

Jumbo eggs in Australia, on average, are supposed to weigh 68g. Margot is in charge of a quality control test that involves weig

Andrej [43]

Answer:

0.9987 = 99.87% probability that the mean weight of 4 eggs in a package is less than 68.5g

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .