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tresset_1 [31]
2 years ago
10

This table shows a linear relationship. x: 6 12 18 24 30 y: 252 504 756 1008 1260 Based on the information in this table, which

equation can be used to model the relationship between x and y​
Mathematics
1 answer:
Anton [14]2 years ago
3 0

Answer:

The difference between value of y at x=11 is 385, the correct option is third.

Step-by-step explanation:

The difference between value of y at x=11 is 385, the correct option is third.

The equation of a line which passing through two points is given below,

The two points from the table are (3,240) and (4,320), the equation is,

Put x=11

Therefore according to the table the value of y is 880 at x=11.

The two points from the table are (2,90) and (4,180), the equation is,

Put x=11,

Therefore according to the table the value of y is 495 at x=11.

The difference between the values of y at x=11 is,

Therefore third option is correct.

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In a fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standar
KiRa [710]

Answer:

Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.

Step-by-step explanation:

Given that in a  fast food study a researcher finds that mean sodium content of 32 Wendy's fish sandwiches is 1080 milligrams with a standard deviation of 75 milligrams. The mean sodium content of 39 Long John Silver's fish sandwiches is 1120 milligrams with a standard deviation of 100 milligrams

H0: The two means are equal

Ha: The two means are not equal

(Two tailed test at 5% level)

Variable A Variable B

Mean 1080.00 1120.00

SD 75.00 100.00

SEM 13.26 16.01

N 32 39

95% CI: -82.65 to 2.65

Since 95% confidence interval contains 0 we conclude at 95% confidence level that the two means are equal.

7 0
3 years ago
All the fourth-graders in a certain elementary school took a standardized test. A total of 85% of the students were found to be
Aneli [31]

Answer:

There is a 2% probability that the student is proficient in neither reading nor mathematics.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a student is proficient in reading

B is the probability that a student is proficient in mathematics.

C is the probability that a student is proficient in neither reading nor mathematics.

We have that:

A = a + (A \cap B)

In which a is the probability that a student is proficient in reading but not mathematics and A \cap B is the probability that a student is proficient in both reading and mathematics.

By the same logic, we have that:

B = b + (A \cap B)

Either a student in proficient in at least one of reading or mathematics, or a student is proficient in neither of those. The sum of the probabilities of these events is decimal 1. So

(A \cup B) + C = 1

In which

(A \cup B) = a + b + (A \cap B)

65% were found to be proficient in both reading and mathematics.

This means that A \cap B = 0.65

78% were found to be proficient in mathematics

This means that B = 0.78

B = b + (A \cap B)

0.78 = b + 0.65

b = 0.13

85% of the students were found to be proficient in reading

This means that A = 0.85

A = a + (A \cap B)

0.85 = a + 0.65

a = 0.20

Proficient in at least one:

(A \cup B) = a + b + (A \cap B) = 0.20 + 0.13 + 0.65 = 0.98

What is the probability that the student is proficient in neither reading nor mathematics?

(A \cup B) + C = 1

C = 1 - (A \cup B) = 1 - 0.98 = 0.02

There is a 2% probability that the student is proficient in neither reading nor mathematics.

6 0
3 years ago
What is the product of (3 the square root of 8)(4 the square root of 3)? Simplify your answer
Vsevolod [243]

3\sqrt{8}\cdot4\sqrt{3} \\12\sqrt{24} \\12\cdot2\sqrt{6} \\\boxed{24\sqrt{6}}

8 0
3 years ago
You deposit $3000 into an account which earns 5.1% interest per year, compounded annually. your friend simultaneously deposits $
Vladimir79 [104]

for 3000 friend it is in 2 years


3 0
3 years ago
Read 2 more answers
The book Kathy is reading is 540 pages long. So far, she has read 405 pages. What percent of the book does she have left to read
Elan Coil [88]
405/540 = 0.75 —> 75%

The answer is C.
8 0
3 years ago
Read 2 more answers
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