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Alenkinab [10]
2 years ago
12

Which type of sides are they and explain why they’re the correct answer!

Mathematics
1 answer:
statuscvo [17]2 years ago
8 0

Answer:

SAS.

Step-by-step explanation:

They are congruent  by 2 sides and the included angle

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A² + 6 from 7<br> plzz answer i gave u half of my points plz
omeli [17]

Answer:

a = 1

Step-by-step explanation:

First, you subtract 6 from both sides and you end up with a² = 1. Since one cannot be squared or square rooted, a = 1. I hope this helps!

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3 years ago
How to write 246,305 in expanded notation
gregori [183]

Answer:

200 000 + 40 000 + 6 000 + 300 + 5

3 0
2 years ago
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g An urn contains 150 white balls and 50 black balls. Four balls are drawn at random one at a time. Determine the probability th
xxTIMURxx [149]

Answer:

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

Step-by-step explanation:

For sampling with replacement, we use the binomial distribution. Without replacement, we use the hypergeometric distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Sampling with replacement:

I consider a success choosing a black ball, so p = \frac{50}{150+50} = \frac{50}{200} = 0.25

We want 2 black balls and 2 white, 2 + 2 = 4, so n = 4, and we want P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{4,2}.(0.25)^{2}.(0.75)^{2} = 0.2109

With replacement, 0.2109 = 21.09% probability that there are 2 black balls and 2 white balls in the sample.

Sampling without replacement:

150 + 50 = 200 total balls, so N = 200

Sample of 4, so n = 4

50 are black, so k = 50

We want P(X = 2).

P(X = 2) = h(2,200,4,50) = \frac{C_{50,2}*C_{150,2}}{C_{200,4}} = 0.2116

Without replacement, 0.2116 = 21.16% probability that there are 2 black balls and 2 white balls in the sample.

3 0
3 years ago
Write the direct variation function given that y varies directly with x, and y = 16 when x = 4.
Otrada [13]

Answer:

Very little information is given, leaving room to multiple possible functions, however i would expect it to be y = 4x

Step-by-step explanation:

x * z = y

4 * z = 16

z = 16/4

z = 4

5 0
3 years ago
HELP DUE IN 20 MINS!<br><br><br>m∠c =?? degrees<br><br><br>° m∠d =?? degrees
dimaraw [331]

Answer:

<c = 45°

<d = 90°

I am not sure okay....this ia sq right?

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3 years ago
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