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4 years ago

Find the degree measure of the central angle for sector c

Mathematics

1 answer:

pishuonlain [190]4 years ago

6 0

We know that
sector c is 35% of the total area of the circle

if 360°----------> represent the 100% of the circle
x-------------> 35%
x=35*360/100----> x=126°

the answer is
the central angle for sector c is 126°

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Factor 20r+60t to identify the equivalent expression

Nadusha1986 [10]

Answer:

$\boxed{20(r + 3t)}$

Step-by-step explanation:

$20r + 60t$

Factor out 20 from the expression.

$20(r) + 20(3t)$

Take 20 as common.

$20(r + 3t)$

7 0

3 years ago

If we sample from a small finite population without replacement, the binomial distribution should not be used because the event

seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

$\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}$

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

$\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}$

Now compute each combination separately:

$\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700$

and now replace the values:

$\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}$

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

6 0

3 years ago

Y = 4x - 5<br> y = 3<br> Solve system of equations

kifflom [539]

3=4x-5
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X=2 and Y=3

5 0

3 years ago

Please help with this

Murljashka [212]

Answer:

i think its b

Step-by-step explanation:

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3 years ago

Geetika bought 15.40m long cloth. The tailor cuts 11m and 5cm for dress and 2m 3 cm for a shirt and returned the remaining cloth

amm1812

Answer:

The length of cloth Geeka got is 2.32m

Step-by-step explanation:

The length Geetika got can be calculated by deducting the total length the tailor cuts from the initial length of the cloth.

Initial length of cloth = 15.40m

From the question, the tailor cuts 11m and 5cm for dress and 2m 3 cm for a shirt.

Therefore, the total length the tailor cut = 11m 5cm + 2m 3cm = 13m 8cm

NOTE: 13m 8cm = 13.08m

The length Geeka got = 15.40m - 13.08m = 2.32m

Hence, the length of cloth Geeka got is 2.32m

4 0

3 years ago