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True [87]
3 years ago
10

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

          2

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

Probability that a randomly selected adult has an IQ greater than 123.4.

This is 1 subtracted by the pvalue of Z when X = 123.4. So

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

Z = \frac{123.4 - 96}{15.7}

Z = 1.745

Z = 1.745 has a pvalue of 0.9595

1 - 0.9595 = 0.0405

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

7 0
3 years ago
How many solutions are there to the equation below? 4(x-5)=4x-24
blondinia [14]

It is a linear equation so there can be 1 solution, 0 solutions, or infinite solutions

4(x-5)=4x-24

distribute

4x -20 = 4x-24

subtract 4x from each side

-20 = -24

no solutions


6 0
3 years ago
Read 2 more answers
Can y’all please help. I will send points if you want me to.
suter [353]

Answer:

the third one has a 2 acute angles 2 abuse angles and the x value is 110

Step-by-step explanation

the x value has to be bigger then 90 degree angles because it is a abuts angle and the 57 angle is a acute angle

8 0
3 years ago
F - 3/4=5/6. Please answer soon thanks
ad-work [718]
F - 3/4 = 5/6
Add 3/4 to both sides to get
F = 5/6 + 3/4 = 19/12
5 0
3 years ago
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