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3 years ago

Evaluate the expression. 1.2 exponent 2 answer choices = 1.44 14.4 1.728 1.5

Mathematics

2 answers:

slamgirl [31]3 years ago

3 0

Answer:

1.44

Step-by-step explanation:

Greeley [361]3 years ago

3 0

Answer:

the answer is 1.44

Step-by-step explanation:

Because the exponent of a number says how many times to use the number in a multiplication. In 1.2 exponent 2 the "2" says to use 1.2 twice in a multiplication, so 1.2'2 = 1.2 × 1.2 = 1.44 In words: 1.2'2 could be called "1.2 to the power 2" or "1.2 to the second power.

Your welcome

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8 0

3 years ago

The mean points obtained in an aptitude examination is 159 points with a standard deviation of 13 points. What is the probabilit

Korolek [52]

Answer:

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are 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 random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 159, \sigma = 13, n = 60, s = \frac{13}{\sqrt{60}} = 1.68$

What is the probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled?

This is the pvalue of Z when X = 159+1 = 160 subtracted by the pvalue of Z when X = 159-1 = 158. So

X = 160

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

By the Central Limit Theorem

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

$Z = \frac{160 - 159}{1.68}$

$Z = 0.6$

$Z = 0.6$ has a pvalue of 0.7257

X = 150

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

$Z = \frac{158 - 159}{1.68}$

$Z = -0.6$

$Z = -0.6$ has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

0.4514 = 45.14% probability that the mean of the sample would differ from the population mean by less than 1 point if 60 exams are sampled

7 0

3 years ago

Absolute Value is always positive. True False

kramer

Answer: False

Step-by-step explanation: Absolute value means distance from zero on a number line. A common mistake is to assume that absolute value is always positive but that's not necessarily the case.

Take 0 for example.

It's 0 units away from zero on a number line which

means it has an absolute value of zero.

However, all other numbers besides zero will have

an absolute value that is positive.

5 0

3 years ago

Study island Jack Russell high school 96 students plan on going to end in State College and 58 students plan on going to an out

Daniel [21]

Answer:

48:29

Step-by-step explanation:

So lets find the ratio without simplest form: the ratio is 96:58

When writing the ratio we write the one mention first

Now lets write it in simplest form practically reducing it to its lowest term

$\frac{96}{58}$ ( we first write it as a fraction)

$\frac{96}{58}$ ÷ $\frac{2}{2}$ =48:29

So the answer is 48:29

HOPE IT HELPED

3 0

3 years ago

Observe

slega [8]

Answer:

They both have the same y-intercept

one is a straight line and the other is not

I used my brain to solve it.please mark me as the brainiest,It would mean a lot to me.

6 0

3 years ago