Can someone help me please

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

8 0

Answer:

1 unit

Step-by-step explanation:

If the circumference is 6, then the arc measured by a 60 degree angle, which is 1/6 of 360, represents 1/6 of the total circumference. Thus the answer is 1.

You might be interested in

Simplify the expression <img src="https://tex.z-dn.net/?f=%5Cfrac%7B-5%2Bi%7D%7B2i%7D" id="TexFormula1" title="\frac{-5+i}{2i}"

Fudgin [204]

Answer:

1/2 + 5/2 i

Step-by-step explanation:

(-5+i) i

---------* --------

2i i

cannot have i in the denominator so we multiply by i

(-5+i) i -5i + i^2

---------* -------- = ----------------

2i i +2i^2

remember i^2 = -1

-5i + -1 -1 -5i

= ---------------- = ------------------

+2(-1) -2

get rid of the negative in the denominator by multiplying the top and bottom by -1

(-1 -5i) * -1

= ------------------

-2*(-1)

(1 +5i)

= ------------------ = 1/2 + 5/2 i

6 0

3 years ago

Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation of 15.7. Find the pro

astraxan [27]

Answer:

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

Step-by-step explanation:

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.

In this question, we have that:

$\mu = 96, \sigma = 15.7$