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UNO [17]
3 years ago
11

Calculate the angles of a parallelogram if the sum of the three angles is 310°

Mathematics
1 answer:
Gennadij [26K]3 years ago
8 0

9514 1404 393

Answer:

  adjacent angles are 50° and 130°

Step-by-step explanation:

The sum of all 4 angles in a parallelogram is 360°, so the fourth angle must be ...

  360° -310° = 50°

Adjacent angles are supplementary, so the other two angles must be ...

  180° -50° = 130°

The angles in the parallelogram are either 50° or 130°. Adjacent angles are different.

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CCA has stated in 2017 that 36.5 % of its students are first generation college students.Suppose you sample 15 CCA students and
nignag [31]

Answer:

Step-by-step explanation:

The formula for binomial distribution is expressed as

P(x = r) = nCr × p^r × q^(n - r)

Where

x represent the number of successes.

p represents the probability of success.

q = (1 - p) represents the probability of failure.

n represents the number of trials or sample.

From the information given,

p = 36.5% = 36.5/100 = 0.365

q = 1 - p = 1 - 0.365

q = 0.635

n = 15

a) P(x = 0) = 15C0 × 0.365^0 × 0.635^(15 - 0) = 0.0011

P(x = 1) = 15C1 × 0.365^1 × 0.635^(15 - 1) = 0.0095

P(x = 2) = 15C2 × 0.365^2 × 0.635^(15 - 2) = 0.038

P(x = 3) = 15C3 × 0.365^3 × 0.635^(15 - 3) = 0.095

P(x = 4) = 15C4 × 0.365^4 × 0.635^(15 - 4) = 0.16

P(x = 5) = 15C5 × 0.365^5 × 0.635^(15 - 5) = 0.21

k P(X = k)

0 0.0011

1 0.0095

2 0.038

3 0.095

4 0.16

5 0.21

b) mean = np = 15 × 0.365 = 5.475

c) standard deviation = √npq

= √15 × 0.365 × 0.635

= 1.86

d) z = (x - mean)/standard deviation

x = 2

z = (2 - 5.475)/1.86 = - 1.87

6 0
3 years ago
I need help to calculate (The three at the end is to the third power!)<br> (−1)3<br> Thank you!!!!!!
Yuliya22 [10]
( -1) 3^3

( - 1 )  27 

- 27 is the answer
8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Csf%20x-5%3D16" id="TexFormula1" title="\sf x-5=16" alt="\sf x-5=16" align="absmiddle" class
scZoUnD [109]

Answer:

21

Step-by-step explanation:

7 0
3 years ago
Arthur drops a ball from a height of 81 feet above the ground. Its height, h, is given by the equation h = –16t2 + 81, where t i
Lorico [155]

Answer:

Step-by-step explanation:

We are given the position function and need to find the value of t when h<17.

Create an inequality that represents this situation:

-16t^2+81 The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.

The simplest way to solve this is to subtract 81 from both sides:

-16t^2 then divide both sides by -16:

t^2>4 Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is

t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.

6 0
3 years ago
Read 2 more answers
A ship has a circular
alisha [4.7K]

Answer: If this isnt wrong then I probably forgot how to do this... You plug in 10 with \pi10^2. so then you'll get 100 time pi and youll get 314.159265.

4 0
3 years ago
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