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Keith_Richards [23]
2 years ago
14

What is the circumference of the circle shown below? (Round your answer to the nearest tenth.) A. 33.0 B. 66.0 C. 346.4 D. 206.2

​

Mathematics
1 answer:
Afina-wow [57]2 years ago
8 0

Answer:

B. 66.0

Step-by-step explanation:

The formula for circumference is 2*π*r where r is the radius. MS and MR are both radii, so we can plug in 10.5 to the formula to get 2* π*10.5, which would be about 65.97, which rounds to 66.0. Hope this helps!

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Find the sum of the whole numbers from 1 to 960
agasfer [191]

Step-by-step explanation:

A quick way to do this sort of question:

First add the last number and the first number:

1 + 960 = 961

Then divide the total amount of numbers by 2.

960 ÷2 = 480

Now multiply these two numbers together:

961 × 480 = 461280

4 0
3 years ago
|n/2 − 1/3| −1= 1/6
weqwewe [10]
1. n/2-1/3-1=1/6
n/2=1/6+1/3+1
n/2=1/6+2/6+6/6
n/2=9/6=3/2
n=3/2*2=3

check: abs(3/2-1/3)-1=1/6,    abs(9/6-2/6)-1= 1/6, 7/6-1=1/6, 1/6 =1/6 
3 is a root

2. -(n/2-1/3)-1=1/6
-n/2+1/3-1=1/6
-n/2-2/3=1/6
-n/2=1/6+2/3
-n/2=1/6+4/6
-n/2=5/6
n=-2*5/6=-5/3=-1 2/3  
check :    abs((-5/3)/2-1/3) -1=1/6
abs(-5/6-1/3) -1 =1/6,     abs(-5/6-2/6) -1=1/6, abs (-7/6)-1=1/6,  7/6-1=1/6, 1/6=1/6
so -5/3 or -1 2/3  is also root

so  two roots 3 and -5/3(that can be written as -1 2/3)

5 0
3 years ago
In 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to com
PtichkaEL [24]

Answer:

The probability that exactly 97 of them finished the marathon​ is 0.221.

Step-by-step explanation:

We are given that in 2019, approximately 97.4% of all the runners who started the Boston Marathon were able to complete the 42.2 km race.

100 runners are chosen at random.

The above situation can be represented through the binomial distribution;

P(X = x) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x = 0,1,2,3,......

where, n = number of trials(or samples) taken = 100 runners

           r = number of success = exactly 97

           p = probability of success which in our question is the probability

                 that runners finished the marathon​, i.e; p = 0.974

So, X ~ Binom(n = 100, p = 0.974)

Now, the probability that exactly 97 of them finished the marathon​ is given by = P(X = 97)

         P(X = 97) = \binom{100}{97} \times 0.974^{97} \times (1-0.974)^{100-97}

                          = 161700 \times 0.974^{97} \times 0.026^{3}

                          = 0.221

Hence, the required probability is 0.221.

6 0
3 years ago
Giving brainlist to whoever answers
Greeley [361]
I think z because if you flip the shape around it will create the same shape as z
5 0
3 years ago
Read 2 more answers
{(-3,1),(0,1),(3,1)}<br> Domain=<br> Range=<br> Function?
Alecsey [184]

Answer:

Domain : { -3, 0, 3}

Range : { 1 , 1 , 1 }

Function : These set of ordered pairs are functions as every x-value has only one y-value associated with it.

4 0
3 years ago
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