# 6641 5-8If A = 7-4and B = | 9-5 -8find 3A + 9B.

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## Related Questions

A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. Records also indicate that three times as many king-size mattresses are sold as twin-size mattresses. Calculate the probability that the next mattress sold is either king or queen-size.

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

Finally, we know that the sum of probablities has to be 1, or 100%.

We can solve this by sustitution:

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

The probability that the next mattress sold is either king or queen-size is 1.

### Explanation:

To calculate the probability of the next mattress sold being either king or queen-size, we need to consider the information given. Let's assign variables to represent the number of king, queen, and twin-size mattresses sold. Let K represent the number of king-size mattresses, Q represent the number of queen-size mattresses, and T represent the number of twin-size mattresses.

From the first piece of information, we know that Q = (K + T)/4 since the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined.

From the second piece of information, we know that K = 3T since three times as many king-size mattresses are sold as twin-size mattresses.

We can substitute the second equation into the first equation to eliminate K and solve for Q in terms of T. We get Q = (3T + T)/4 = 4T/4 = T.

Therefore, the probability of the next mattress sold being either king or queen-size is the combined probability of selling a king or queen-size mattress. This is the probability of selling a king-size mattress plus the probability of selling a queen-size mattress. Considering T as the total number of mattresses sold, the probability is P(K or Q) = (3T/4T) + (T/4T) = 4T/4T = 1.

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20 Points! Answer ASAP! Which statement is true about angles 1 and 2? (image below)A. They are adjacent angles
B. They are complementary angles
C. They are supplementary angles.
D. They are vertical angles.

A. They are adjacent angles

Step-by-step explanation:

Angles 1 and 2 are next to each other, that makes them adjacent angles

A They are adjacent angles    (next to each other and share a side) True

B. They are complementary angles   (add to 90 degrees)  False-  Angle 2 is 90 degrees)

C. They are supplementary angles.  (add to 180) False, they do not form a straight line

D. They are vertical angles.  (opposite angles)  False, they are not made by intersecting lines

Step-by-step explanation:

The Food and Drug Administration advises people against eating fish with mercury concentrations exceeding 1 part per million (ppm). Researchers wonder if the average mercury content of large-mouth bass in a certain state exceeds the limits and, thus, make such fish inedible. They randomly sample largemouth bass from randomly selected lakes in this state and record the amount of mercury in each fish. What is the correct parameter in this example

The average amount of mercury in the population of large-mouth bass in this particular state

Step-by-step explanation:

Parameters are properties that describe entire populations rather than a sample. Therefore, since researchers are focused on the average mercury content of large-mouth bass, the correct parameter for the experiment would be the average amount of mercury in the population of large-mouth bass in this particular state.

f(2) 42 g(x) = 2x +3 Find 4) (. Include any restrictions on the domain. O A. 2.2---3 417 2 > 0 B. 47 2 2 r--3, (1) (a) = (4) (a) x A 을 c. (5) (r) = 1,2*0 OD (1) (a= + 2​

Option D

Step-by-step explanation:

Given f(x) =

g(x) = 2x + 3

Since,

This function is defined for the denominator is not equal to zero.

(2x + 3) ≠ 0

x ≠

Therefore, Option D will be the correct option.

A travel agency contacted a department store and obtained the list of all people who made purchases using their credit cards at the store in the last month. The agency then surveyed a random sample from the list, calling them to ask their preference for air travel or train travel for taking holidays. Which of the following types of bias affects the conclusions of the survey?a) Deliberate bias
b) Response bias
c) Non-response bias
d) Selection bias

Step-by-step explanation:

From the question, we are informed that a travel agency contacted a department store and obtained the list of all people who made purchases using their credit cards at the store in the last month. The agency then surveyed a random sample from the list, calling them to ask their preference for air travel or train travel for taking holidays.

The bus depicted above is referred to as the selection bias. The selection bias is simply a bias that is introduced when the sample obtained is not a representation of the population that the researcher wants to analyze. Here, the study population doesn't represent the target population.

The list gotten was for the people who made purchases using their credit cards but the agency used the list to determine the preference for air travel or train travel for taking holidays. This shows selection bias.

For what side length(s) is the area of an equilateral triangle equal to 30 cm?? Only enter the number, in centimeters, rounded to two decimal places. A cm ►

Answer: The sides length are 8.32 cm

Step-by-step explanation:

An equilateral triangle has all his sides of the same lenght, so we assume that the triangle has an L lenght in his sides.

The area of a triangle iswhere the base is L, the Area is 30 and an unknown height.

To determine the height, we cut the triangle in half and take one side. By simetry, one side has a base of , a hypotenuse of L and a the unknown height.

Then we apply the Pythagoras theorem, this states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, or, Where one c is and the other is the height.

Then we find one of the c of the equation wich will be the height.

Finally, we use the triangle area mentioned before an find the value of L.