Can someone please help me with 6-12 please and i’m being timed

Nat sews a triangle on an apron. The three sides of the triangle measure 3 inches, 4 inches, and 5 inches. Which best represents

maria [59]

Answer:

Is a scalene right triangle

Step-by-step explanation:

Classify the triangle

By the interior angles

Applying the Pythagoras Theorem

$c^{2}=a^{2} +b^{2}$

substitute the values

$5^{2}=3^{2} +4^{2}$

$25=25$ ------> is true

therefore

Is a right triangle

By the length sides

The triangle has three unequal sides

therefore

Is a scalene triangle

4 0

3 years ago

17. If the numerator is larger than the denominator, then the value of the fraction is

kipiarov [429]

Answer:

C

Step-by-step explanation:

The numerator being bigger would make it an improper fraction, making it larger than one.

6 0

3 years ago

The ideal size of a first-year class at a particular college is 150 students. The college, knowing from past experiences that on

katen-ka-za [31]

Answer:

6.18% probability that more than 150 first-year students attend this college.

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

For each item selected, there are only two possible outcomes. Either it is defective, or it is not. This means that we use concepts of the binomial probability distribution to solve this problem.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .