Answer quickly please

HACTEHA [7]

Divide it by -8 on both sides and then reverse the inequality since you divided by a negative
Final answer will be x > -4

7 0

2 years ago

A triangle with a 6 centimeter side ams a 8 centimeter side and an included amgle of 40 degrees. What term of triangle would thi

Sunny_sXe [5.5K]

Answer:

acute

Step-by-step explanation:

7 0

2 years ago

Katie gives Maggie half of her pencils. Maggie keeps 5 pencils and gives the rest to jamil. Write an expression for the number o

bixtya [17]

Answer:

Y=( x/2 )- 5

Where y is the number of pencils given to Jamil and 5 is the one kept by Maggie.

Step-by-step explanation:

Let's call the number of Katie pencil (x ).

So Katie gave half of her pencils to Maggie.(1/2x)

So Maggie keeps five pencils and give the rest to Jamil.

So

X/2 = 5 + y

Where y is the number of pencils given to Jamil and 5 is the one kept by Maggie.

Y=( x/2 )- 5

6 0

2 years ago

Suppose 3% of the people contacted by phone are receptive to a certain sales pitch and buy your product. If your sales staff con

Shalnov [3]

Answer:

0% probability that more than 100 of the people contacted will purchase your product

Step-by-step explanation:

To solve this question, i am going to use the binomial approximation 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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .