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DiKsa [7]
2 years ago
10

The pattern on a rug is made up of hexagons, as shown below. What is the value of x?

Mathematics
2 answers:
Paladinen [302]2 years ago
6 0

Answer:

x=80

Step-by-step explanation:

S=(6-2)180

S=4(180)

720...

140+140+140+140+2x=720

560+2x=720

-560     -560

Cross Multiplication:

2x/2=160/2

Leading to x=80

Ghella [55]2 years ago
4 0

Answer:165

Step-by-step explanation:

hope this helpsss

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A study was done to compare people's religion with how many days that they have said they have been calm in the past three days.
nadezda [96]

Answer:

The probability of the number of Protestants that were calm for 2 out of 3 days is 0.061.

Step-by-step explanation:

Represent the provided data as follows:

Compute the probability of the number of Protestants that were calm for 2 out of 3 days as follows:

P (Calm\ for\ 2\ days\ |\ Protestants) = \frac{n (Protestants\ who\ were\ calm\ for\ 2\ days}{n (Protestants}

The number of Protestants surveyed is, <em>n</em> (Protestants) = 99.

The number of Protestants who were calm for 2 days,

<em>n</em> (Protestants who were calm for 2 days) = 6

The required probability is:

P (Calm\ for\ 2\ days\ |\ Protestants) = \frac{n (Protestants\ who\ were\ calm\ for\ 2\ days}{n (Protestants}\\=\frac{6}{99}\\ =0.060606\\\approx0.061

Thus, the probability of the number of Protestants that were calm for 2 out of 3 days is 0.061.

3 0
2 years ago
Half of your baseball card collection got wet and was ruined. you bought 14 cards to replace some that were lost.how many did yo
Mamont248 [21]

Because you added 14 cards to your collection, we'll have to subtract that:

40 - 14 = 26

Knowing that 26 cards is half of your old card deck, we know that your old card deck is:

26*2 = 52

You have option b. 52 cards before.

4 0
3 years ago
Diana creates a graph for the amount of money she earns, y, for working x hours. The graph contains the points (34,408), (40,480
Leni [432]

Answer:

C, B

Step-by-step explanation:

     x        y

A 34     408

B 40     480

C 46     588

A= $12/hour

B= $12/hour

C= $12.78/hour

The difference between A and B is 72.  The difference between B and C is 108.

6 0
3 years ago
Read 2 more answers
A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student wil
algol13

Answer:

P(Topic A) = 0.91

P(Topic B) = 0.9163

The student should choose Topic B to maximize the probability of writing a good paper because P(Topic B)>P(Topic A).

Step-by-step explanation:

If Topic A is chosen, 2 books will be ordered (n=2)

If topic B is chosen, 4 books will be ordered (n=4)

Probability that a book arrives in time (p) = 0.7

Probability that a book does not arrive in time (q) = 1 - p = 1 - 0.7 = 0.3

We will <u>use the binomial distribution</u> to find out which topic should the student choose to maximize the probability of writing a good paper. The binomial distribution formula is:

P(X=x) = ⁿCˣ pˣ qⁿ⁻ˣ

where p = probability of success

           q = probability of failure

           n = total no. of trials

           x = no. of successful trials

For Topic A, n = 2, p=0.7 and q=0.3. If topic A is chosen, the student will use at least half the books i.e. he will use either 1 or 2 books. So,

P(Topic A) = P(X=1) + P(X=2)

                 =²C₁ (0.7)¹(0.3)²⁻¹ + ²C₂ (0.7)²(0.3)²⁻²

                 = 0.42 + 0.49

P(Topic A) = 0.91

For topic B, n=4, p=0.7 and q=0.3. If topic B is chosen, the student will choose 2 or more books i.e. 2, 3 or 4 books.

P(Topic B) = P(X=2) + P(X=3) + P(X=4)

                  = ⁴C₂ (0.7)²(0.3)⁴⁻² + ⁴C₃ (0.7)³(0.3)⁴⁻³ + ⁴C₄ (0.7)⁴(0.3)⁴⁻⁴

                  = 0.2646 + 0.4116 + 0.2401

P(Topic B) = 0.9163

The student should choose Topic B to maximize the probability of writing a good paper because P(Topic B)>P(Topic A) as calculated above.

3 0
3 years ago
Prove that 25^9+5^17is divisible by 30
VLD [36.1K]

Answer:

proof is below

Step-by-step explanation:

Answer:

25^9 + 5^17=

=2^18 + 5^17

=5^17(5+1)

=5^17×6

=5^16×30  is divisible by 30

6 0
2 years ago
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