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Andreyy89
3 years ago
14

A scuba diver is 12 meters below sea level. If the diver descends 39 meters further, what integer represents the scuba diver’s n

ew elevation relative to sea level?
Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

I think the answer is -51

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Given y = A sin(B(x + C)) + D
Romashka-Z-Leto [24]

The statement that is not true about the given trigonometric graph is; Option A:  The vertical phase shift of y = 3 sin(-5x - π/2) - 6 is; π/5

<h3>How to Interpret Trigonometric Graphs?</h3>

Let us analyze the options;

A) For the give equation;

y = 3 sin(-5x - π/2) - 6

From the general equation given we can say that;

A = 3

B = 5

C = -π/2

D = -6

Thus, phase shift = C/B = -(π/2)/5

Phase Shift = -π/10.

Thus, option A is not correct.

B) Period = 2π/B

Thus; Period = 2π/5

Formula for frequency from period is;

Frequency = 1/period

Thus, it is correct that Period and frequency vary indirectly

C) As B gets bigger, the period gets smaller and the frequency gets greater. Thus, this option is correct

D) This statement is correct.

Read more about Trigonometric Graphs at; brainly.com/question/10700288

#SPJ1

4 0
2 years ago
BRAINLIEST + POINTS!
sertanlavr [38]

Answer:

the correlation coefficient of the line of best fit  is, 0.98247.

Step-by-step explanation:

Correlation Coefficient are used to find how strong relationship between the data. It expressed its values between +1 and -1. It is represented by r.

* if 0<r<1 indicates a strong positive relationship.

* -1<r <0 indicates a strong negative relationship.

* r=0 indicates no relationship at all.

The formula for this :

r = \frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]}}

Given the data: (-3, -40) , (1, 12), (5, 72) and (7,137)

Here, n = 4

To calculate the correlation coefficient r;

Substitute the values of data in above formla of r , as shown in the Figure 1:  

then;                  

r=\frac{4\cdot 1451-(10)(181)}{[4\cdot84-(10)^2][4\cdot 256977 -(181)^2]}

or    

r=\frac{5804-1810}{\sqrt{[336-100][102788 -32761]}}=\frac{3994}{\sqrt{[236][70027]}}

or

r=\frac{3994}{4065.26408} =0.98247

Therefore, the correlation coefficient r is, 0.98247 (Positive relationship)


6 0
3 years ago
Michelle had a birthday party. She bought a bag of candy with 96 Starbursts, 72 Hershey's, and 68 Reese's. She wants to use all
Artist 52 [7]

Answer:

4 goody bags.

Step-by-step explanation:

We have been given that Michelle bought a bag of candy with 96 Starbursts, 72 Hershey's, and 68 Reese's.

To find the largest number of goody bags with the same amount of Starbursts, Hershey's and Reese's in each bag, we need to find the greatest common factor of 96, 72 and 68.

Factors of 96 are: 1, 2, 3, 4, 24, 32, 48, 96.

Factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72.

Factors of 68 are: 1, 2, 4, 17, 34, 68.

We can see that greatest common factor of 96, 72 and 68 is 4, therefore, the largest number of bags that Michelle can make with 96 Starbursts, 72 Hershey's, and 68 Reese's is 4 bags.

3 0
3 years ago
A company that manufactures and sells consumer video cameras sells two versions of their popular hard disk​ camera, a basic came
saul85 [17]

Answer:

The percentage of customers who buy an extended warranty is 33%.

Step-by-step explanation:

In this problem, we have these following percentages.

35% of the customers select the basic camera.

This also means that:

65% of the customers select the deluxe version. (Since you can buy only two versions of the hard disk camera and the sum of the percentages is 100%).

20% of those who select the basic camera also purchase the extended warranty.

40% of those who select the deluxe version also purchase the extended warranty.

What is the percentage of customers who buy an extened warranty?

P = P_{1} + P_{2}

P_{1} is the percentage of those who buy the basic version with the extended warranty. So it is 20% of 35%. So

P_{1} = 0.20*0.35 = 0.07

P_{2} is the percentage of those who buy the deluxe version with the extended warranty. So it is 40% of 65%. So

P_{2} = 0.40*0.65 = 0.26

P = P_{1} + P_{2} = 0.07 + 0.26 = 0.33

The percentage of customers who buy an extended warranty is 33%.

3 0
4 years ago
A fair coin is tossed 3 times. What is the probability that the coin with land showing heads on all three tosses.
Vesna [10]

Answer:2/3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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