Which correlation coefficient corresponds to the best-fit line that most closely models it’s set of data. A. -0.87, B. -0.15. C. 0.13. D. 0.84

Answers

Answer 1

Answer:

Answer:

A. -0.87

Step-by-step explanation:

The correlation coefficient is a measure of the strength and nature of the linear relationship between two variables, one dependent and one independent. This coefficient takes values between -1 and 1, indicating with its sign whether the relationship is direct or inverse between the variables involved and with its absolute value indicates the strength of the linear relationship between them. A coefficient with absolute value close to 1 indicates great strength and better fit.

Conclusion: The best coefficient, of the propuetso in the problem, is that of -0.87, which indicates a strong relationship between the variables, a good fit and an inverse relationship between them.

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Evaluate the expression when m=25
M+2(m-5)

Answers

m = 25

25 + 2(25-5) = 65

1. parentheses first (25-5) = 20
2. multiplication 2•20 = 40
3. addition 25 + 40 = 65

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.

Answers

Answer:

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:

$P_Q=(P_K+P_T)/(4)\n\n\n4P_Q-P_K-P_T=0$

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

$P_K=3P_T\n\nP_K-3P_T=0$

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

$P_Q+P_K+P_T=1$

We can solve this by sustitution:

$P_K=3P_T\n\n4P_Q=P_K+P_T=3P_T+P_T=4P_T\n\nP_Q=P_T\n\n\nP_Q+P_K+P_T=1\n\nP_T+3P_T+P_T=1\n\n5P_T=1\n\nP_T=0.2\n\n\nP_Q=P_T=0.2\n\nP_K=3P_T=3\cdot0.2=0.6$

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:

$P_K+P_Q=0.6+0.2=0.8$

Final answer:

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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Please help me asap!

Answers

Answer:

24 units

Step-by-step explanation:

Given is a circle with two chord BE and CD

BE and CD intersect at A

By circle chords intersection theorem we have

DA*AC = EA*AB

i.e. 8(15) = 5(AB)

Divide by 5 both the sides

AB =8(15)/5 = 8(3) = 24 units

Verify:

Let us check now whether chord intersection theorem is satisfied.

DA*AC = 8(15) = 120

EA*AB = 5(24) = 120

Since these two equal, we verify that answer is right.

Urgent can you help right away! Please help with these math questions!!!!
Answer 1 and 2 in hundredths and 3 in tenths

Answers

A
R=8 km
B
r= 7ft
h = 11ft
C
r= 10 mi
h = 20 mi

Jamaal is mixing blue and yellow paint to make green. He adds 2 parts blue paint to 2 parts yellow paint.For every 1 part blue paint, there
yellow paint.
Jamaal is not happy with thecolor and adds 1 more part of blue paint. This will make the green paint more

Answers

Final answer:

Jamaal is attempting to create a specific shade of green paint by blending yellow and blue. He initially mixes equal parts of yellow and blue. Unsatisfied with the color produced, he adds another part of blue, resulting in a green shade that is more blue-leaning.

Explanation:

In this scenario, Jamaal is mixing paints to achieve a particular shade of green. Originally, he mixes an equal amount - 2 parts each - of blue and yellow paint. For each 1 part of blue paint Jamaal uses, he also uses 1 part of yellow paint. However, he is not satisfied with thecolor he gets. When Jamaal adds an additional part of blue, this makes the green paint more 'blueish' because the blue to yellow ratio is now 3:2 in favor of blue.

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For every 1 part blue paint, there

✔ is 1 part

yellow paint.

Jamaal is not happy with the color and adds 1 more part of blue paint. This will make the green paint more

✔ blue

QuestionEnter the exponential function using t (for time) as the independent variable to model the situation. Thenfind the value of the function after the given amount of time.A new savings account is opened with $400 and gains 3.5% yearly for 5 years.The exponential function that models the situation is y = MyAfter 5 years, the savings account has $

Answers

Since, it is an exponential function, thus this is a compound interest problem;

Where; the function is given as;

$\begin{gathered} A(t)=P(1+r)^t \n \text{Where A(t)= amount in the savings account at a time t} \n P=ca\text{ pital invested} \n r=\text{rate } \n t=\text{ time} \end{gathered}$

Thus, the function required is;

$\begin{gathered} A(t)=400(1+(3.5)/(100))^t \n A(t)=400(1.035)^t \end{gathered}$ $\begin{gathered} y=400(1.035)^t \n \text{Where t is the time} \end{gathered}$

After 5 years,

$\begin{gathered} A(5)=400(1.035)^5 \n A(5)=400(1.1877) \n A(5)=475.07 \end{gathered}$

The amount in the savings account after five years is $475.07

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