How do you write 0.0036 in scientific notation

Which of the following are exterior angles , check all that apply?

Svet_ta [9500]

The solution is simply less than 6

6 0

4 days ago

A video game designer places an anthill at the origin of a coordinate plane. A red ant leaves the anthill and moves along a stra

zzz [9080]

Pour expliquer pourquoi la distance entre la fourmilière et chacune des fourmis est constante, on peut diviser les variables par un calculateur et considérer les coordonnées comme une provenance

Explication étape par étape:

8 0

7 days ago

In Melanie's Styling Salon, the time to complete a simple haircut is normally distributed with a mean of 25 minutes and a standa

zzz [9080]

Answer:

b) falls between 18.4 and 31.6 minutes.

Step-by-step explanation:

Problems involving normally distributed samples can be tackled using the z-score formula.

In any set with a mean $\mu$ and standard deviation $\sigma$ , the z-score for a measurement X is calculated as follows:

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

The Z-score indicates how many standard deviations an observation diverges from the mean. After determining the Z-score, consulting the z-score table provides the associated p-value. This p-value represents the likelihood of observing a measure less than X, i.e., the percentile of X. Subtracting the p-value from 1 yields the probability of observing a measure greater than X.

In this question, we find that:

$\mu = 25, \sigma = 4$

To cover the Middle 90%

The lower limit is determined as the value of X when Z corresponds to a p-value of 0.5 - 0.9/2 = 0.05.

The upper limit corresponds to the value of X when Z has a p-value of 0.5 + 0.9/2 = 0.95.

Lower limit:

X when Z = -1.645 $Z = \frac{X - \mu}{\sigma}$

$-1.645 = \frac{X - 25}{4}$

$X - 25 = -1.645*4$

$X = 18.42$

Upper limit:

X when Z = 1.645

$1.645 = \frac{X - 25}{4}$

$X - 25 = 1.645*4$

$X = 31.58$

Thus, the correct assessment is:

b) between 18.4 and 31.6 minutes.

3 0

5 days ago

7. You and a friend are paid $38.25 for doing yard

Svet_ta [9500]

Answer:

Step-by-step explanation: your friend would receive $17

and you would collect $21.25

I hope this helps!;))))

8 0

16 days ago

Read 2 more answers

The inside diameter of a randomly selected piston ring is a random variable with mean value 13 cm and standard deviation 0.08 cm

Zina [9171]

Answer:

(a) P(12.99 ≤ X ≤ 13.01) = 0.3840

(b) P(X ≥ 13.01) = 0.3075

Step-by-step explanation:

To address this problem, one needs to grasp the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems involving normally distributed samples are resolved through the application of the z-score formula.

In a data set with a mean $\mu$ and standard deviation $\sigma$ , the z-score for a measurement X is defined as:

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

The Z-score indicates how many standard deviations the measurement deviates from the mean. After determining the Z-score, one can consult the z-score table to find the relevant p-value for that score. This p-value represents the probability that the measure's value is less than X, which indicates the percentile of X. By subtracting this p-value from 1, we obtain the likelihood that the measure's value exceeds X.

Central Limit Theorem

According to the Central Limit Theorem, 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 by a normal distribution, characterized by mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .