What’s the measure of angle X ?

Lynna [10]

Answer: the number, converted to base 10 is 884

Step-by-step explanation:

The table gives symbols for a base 12 numerical system and it is called Caidoz numbers.

Looking at the table, the corresponding Caidozian number that we considering is 618 to base 12. Converting 618 to base 10, it becomes

8 × 12^0 = 8 × 1 = 8

1 × 12^1 = 1 × 12 = 12

6 × 12^2 = 6 × 144 = 864

Therefore, 618 to base 12 to 618 to base 10 would be

8 + 12 + 864 = 884

8 0

3 years ago

Cell phone plan A costs $70 per month and comes with a free $500 phone. Cell phone plan B costs $50 per month but does not come

DaniilM [7]

Answer:25 months

Step-by-step explanation: Let's make the equations first,

Plan A: 70x Plan B: 50x+500

Now we make it into an equivalent equation:

70x=50x+500

Then we solve:

70x=50x+500

-50x -50x

20x=500

÷20 ÷20

x=25

To check if it's correct, we just plug it in:

70(25)=50(25)+500

1750=1750

4 0

4 years ago

What are the two square roots of 400

Elden [556K]

The two square roots are 20 and -20

6 0

3 years ago

5. Find the lateral area of the cone to the nearest whole number.

Scorpion4ik [409]

Answer:

Step-by-step explanation:

7 0

3 years ago

"6. A brand name has a 40% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small s

statuscvo [17]

Answer:

(a) The probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b) The probability that all of the selected consumers recognize the brand name is 0.0041.

(c) The probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d) The events of 5 customers recognizing the brand name is unusual.

Step-by-step explanation:

Let X = number of consumer's who recognize the brand.

The probability of the random variable X is, P (X) = p = 0.40.

A random sample of size, n = 6 consumers are selected.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

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

(a)

Compute the value of P (X = 5) as follows:

$P(X=5)={6\choose 5}0.40^{5}(1-0.40)^{6-5}\\=6\times0.01024\times0.60\\=0.036864\\\approx0.0369$

Thus, the probability that exactly 5 of the 6 consumers recognize the brand name is 0.0369.

(b)

Compute the value of P (X = 6) as follows:

$P(X=6)={6\choose 6}0.40^{6}(1-0.40)^{6-6}\\=1\times 0.004096\times1\\=0.004096\\\approx0.0041$

Thus, the probability that all of the selected consumers recognize the brand name is 0.0041.

(c)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = P (X = 5) + P (X = 6)

= 0.0369 + 0.0041

= 0.041

Thus, the probability that at least 5 of the selected consumers recognize the brand name is 0.041.

(d)

An event is considered unusual if the probability of its occurrence is less than 0.05.

The probability of 5 customers recognizing the brand name is 0.0369.

This probability value is less than 0.05.

Thus, the events of 5 customers recognizing the brand name is unusual.

8 0

4 years ago