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aleksley [76]
2 years ago
6

Walter and Brian each have a CD collection. • The number of CDs in Walter's collection can be represented by x. • The number of

CDs in Brian's collection is 3 times the number in Walter's collection. • The total number of CDs in both collections is 144. What is x, the number of CDs in Walter's collection?
Mathematics
1 answer:
statuscvo [17]2 years ago
3 0

Answer:

Number of CDs in Walter's collection = x = 36

Step-by-step explanation:

x denotes number of CDs in Walter's collection.

Also, the number of CDs in Brian's collection is 3 times the number in Walter's collection.

Number of CDs in Brian's collection =3x

Total number of CDs in both Walter's collection and Brian's collection = 144

x+3x=144\\4x=144\\x=\frac{144}{4}\\ x=36

So,

Number of CDs in Walter's collection = x = 36

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yawa3891 [41]

Answer:

y-6=-3/4(x+4)

Step-by-step explanation:

y-y1=m(x-x1)

m=-3/4

y-6=-3/4(x-(-4))

y-6=-3/4(x+4)

6 0
2 years ago
tim has 30 jellybeans, with equal numbers of three flavors—raspberry, pineapple, and orange. he likes raspberry the best. so far
Sloan [31]
There are 20 jellybeans remaining after the 6 orange and 4 pineapple jellybeans have been eaten.
Therefore 10 of the 20 remaining jellybeans must be raspberry. So there is a 1 in2 chance that the next one picked will be raspberry.
4 0
3 years ago
Instructions:Select the correct answer. You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the
EleoNora [17]

Since we are given the lengths of 2 sides with the angle in between, therefore by cosine law we can only construct 1 triangle from this. By stating the angle in between, this constricts the possible number of triangles that can be formed into 1.

By calculation, the length of the 3rd side is calculated using cosine law:

c^2  = a^2 + b^2 – 2abcosθ

c^2 = 10^2 + 8^2 – 2(10)(8)cos40

c = 6.44 cm


ANSWER:

1 triangle 

3 0
3 years ago
One of the assumptions underlying the theory of control charting (see Chapter 16) is that successive plotted points are independ
Illusion [34]

Question has missing details

One of the assumptions underlying the theory of control charting (see Chapter 16) is that successive plotted points are independent of one another. Each plotted point can signal either that a manufacturing process is operating correctly or that there is some sort of malfunction. Even when a process is running correctly, there is a small probability that a particular point will signal a problem with the process. Suppose that this probability is 0.05. What is the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly?

Answer:

The probability that at least one of 10 successive points indicates a problem when in fact the process is operating is 0.4013

Step-by-step explanation:

Given

Let P = Probability that a point signals an error incorrectly = 0.05

Let Q = Probability that a point signals an error correctly

P + Q = 1 ---- Make Q the subject of formula

Q = 1 - P where P = 0.05

So, Q = 1 - P becomes

Q = 1 - 0.05

Q= 0.95

Solving for the probability that at least one of 10 successive points indicates a problem when in fact the process is operating.

If two events (P and Q) are independent

Then

P(P n Q) = P(P) * P(Q)

From De Morgan law;

P(P u Q) = 1 - P(P' n Q')

Where P(P u Q) represent the probability that at least one of 10 successive points

P(P' n Q') is calculated as follows;

P(P' n Q') = 0.95^10

P(P' n Q') = 0.59873693923837890625

So,

P(P u Q) = 1 - P(P' n Q') becomes

P(P u Q) = 1 - 0.59873693923837890625

P(P u Q) = 0.40126306076162109375

P(P u Q) = 0.4013 ----- Approximated

The probability that at least one of 10 successive points indicates a problem when in fact the process is operating is 0.4013

7 0
3 years ago
The mean of a set of 5 numbers is 39 and the median is 40. If the mean of the largest two numbers is 49 , then what is the sum o
Aleks [24]

Sum of 5 numbers = 39*5 = 195

largest two numbers sum = 49*2 = 98

median = 40

sum of smallest two numbers = 195-(98+40) = 195-138 = 57

3 0
2 years ago
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