A scientist measures the velocity of a major river at various depths. After collecting and analyzing the data, the scientist determines that the equation y=−0.114x+1.658, where x represents the depth, in feet, and y represents the velocity of the river, in feet per second, can be used to model the data. The linear model has a correlation coefficient of 0.964.

Answers

Answer 1

Answer:

If you translate that in romanian i will do it.

Answer 2

The velocity of a major river at various depths has no relation.

What is a linear equation?

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

We are given that;

Equation y=−0.114x+1.658

Now,

In this case, the equation y = -0.114x + 1.658 represents a linear relationship between x (depth) and y (velocity) of the river. The correlation coefficient is 0.964, which means there is a very strong positive correlation between these two variables. This means that as depth increases, velocity also tends to increase proportionally.

| x | y |

| 0 | 1.658 |

| 5 | 1.098 |

|10 | 0.538 |

|15 |-0.022 |

The calculator gives us a p-value of approximately 0.0002, which is much smaller than 0.05. This means that we can reject the null hypothesis that there is no correlation between depth and velocity of the river and conclude that there is a statistically significant positive correlation between them.

Therefore, by the given equation there will be no relation.

Learn more about linear equations;

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Related Questions

The water level, w, in feet, of a river after a rainstorm is a function of the time, t,
,
in hours, since the storm began. The table below shows the water level readings collected at different times
Choose the linear function that models the data in the table.

Answers

The water level in the river is an illustration of a linear function

The linear function that models the data in the table is [tex]w = 0.8t + 17.9[/tex]

How to determine the equation of the water level?

From the complete question, we have the following table:

t      w

1     18.7

1.5  19.1

Start by calculating the slope (m)

[tex]m = \frac{w_2 - w_1}{t_2 -t_1}[/tex]

This gives

[tex]m = \frac{19.1 - 18.7}{1.5 - 1}[/tex]

Evaluate

[tex]m = 0.8[/tex]

The equation is then calculated as:

[tex]w = m(t - t_1) + w_1[/tex]

So, we have:

[tex]w = 0.8(t - 1) +18.7[/tex]

Expand

[tex]w = 0.8t - 0.8 +18.7[/tex]

[tex]w = 0.8t + 17.9[/tex]

Hence, the linear function that models the data in the table is [tex]w = 0.8t + 17.9[/tex]

Read more about linear functions at:

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A car drives 60 mph. Write and solve an eqaution to find the number of hours it takes the car to travel 360 miles.

Answers

Answer:

6 hours

Step-by-step explanation:

Let's highlight/bold some important terms.

A car drives 60 mph. Write and solve an eqaution to find the number of hours it takes the car to travel 360 miles.

So we know Speed multiplied by Time is equal to distance, or commonly known as;

S · T = D

So since we know this, we can substitute the values for the variables.

We know the mph is 60. And that's our speed.

The equation is now 60 · T = D

We know that the total distance the car needs to cover is 360.

The equation is now 60 · T = 360

Now we need to find the time it took.

We divide 360/60 to find out the total number of hours it took, and we get 6.

So the answer is that it took 6 hours to travel 360 miles with a speed of 60 mph.

Answer:

6 hours

Step-by-step explanation:

11) Arjun was planning a trip to China.
Before going, he did some research and
learned that the exchange rate is 8 Yuan to
$1. How many Yuan would he get if he
exchanged $2?
Help

Answers

Answer:

16yuan

Step-by-step explanation:

1$=8Y

so,2$=2x8Y

or 2$=16Y

Find a whole number $a$ such that the numbers $\frac{2}{a}$ , $\frac{a}{8}$ , and $63\%$ are in order from least to greatest

Answers

If 2/a, a/8, and 63% = 63/100 are in numerical order, then

2/a < a/8 < 63/100

Multiply each "side" of the inequality by 8a :

16 < a² < 126a/25

a has to be a whole number, and since 4² = 16, we must have at least a ≥ 5.

Divide through by a :

16/a < a < 126/25 = 5 + 1/25

Then at most, a ≤ 5.

So, both a ≥ 5 and a ≤ 5, which means a = 5.

Just to check that the list is in order, we have

2/a = 2/5 = 0.4

a/8 = 5/8 = 0.625

and 0.4 < 0.625 < 0.63.

If a town has 64 voters and 5/8 of them choose to vote in an election, how many voters choose
not to vote in the election?
A 32 voters
B 24 voters
C 40 voters
D 28 voters

Answers

Answer:

40 voters

Step-by-step explanation:

64/8=8

8×5=40

Answer:

24

Step-by-step explanation:

5/8 of 64 = 40

64 - 40 =24

can someone help me it’s very urgent due soon!

Answers

Answer:

c

Step-by-step explanation:

Answer: I think A but im not 100% sure

Step-by-step explanation:

sorry if i let you down...

In Fig. 7.2, a find the value of y when x = -2-5,​

Answers

Answer:

Given equation:  y = x² + 2x - 3

If you wish to find the values of y when x = -2 and x = -5:

When x = -2:

⇒ y = (-2)² + 2(-2) - 3

⇒ y = 4 - 4 - 3

⇒ y = -3

When x = -5:

⇒ y = (-5)² + 2(-5) - 3

⇒ y = 25 - 10 - 3

⇒ y = 12

If you wish to find the value of y when x = -2-5:

When x = -2-5 ⇒ x = -7

⇒ y = (-7)² + 2(-7) - 3

⇒ y = 49 - 14 - 3

⇒ y = 32

Answer:

y = 32

Step-by-step explanation:

Given :-

y = x² + 2x - 3

x = -2-5 = -7

To Find :-

y

Inputting the value of x :

y = (-7)² + 2(-7) - 3

y = 49 - 17

Solution :-

y = 32

A hummingbird’s egg weigh 0.013 ounce. Express this as a fraction in simplest form.

Answers

Answer:

13/1000

Step-by-step explanation

13/1000 is its simplest form.

The class scores of a history test have a normal distribution with a mean Mu = 79 and a standard deviation Sigma = 7. If Opal’s test score was 72, which expression would she write to find the z-score of her test score?.

Answers

Using the normal distribution, we got that expression for the z-score of her test score is

[tex]z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1[/tex]

What is Normal Probability Distribution?

it's a type of probability distribution which is  symmetric about the mean, it gives data near the mean are more frequent than data far from the mean.

Given that mean =[tex]\mu=79[/tex]

and standard deviation =[tex]\sigma = 7[/tex]

X=73

we know that formula of z-score is

[tex]z=\frac{X-\mu}{\sigma}[/tex]

Hence Z-score can be calculated as

[tex]z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1[/tex]

Using the normal distribution, we got that expression for the z-score of her test score is

[tex]z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1[/tex]

To learn more about the normal distribution visit : brainly.com/question/24663213

Answer:

72-29/7

Step-by-step explanation: i just took the test it's A

what is the slope of the line that passes through the point of (5,6),(5,9)?In simplest form.

Answers

Answer:3/0=undefined

Step-by-step explanation:(5/6) and (5,9)

Slope: 9-6 = 3

5-5 = 0

At the beginning of a snowstorm, Brianna had 2 inches of snow on her lawn . The snow began to fall at a constant rate of 2.5 inches per hour. Assuming no snow was melting, how much snow would Brianna have on her lawn 2 hours after the snow began to fall ? How much would Brianna have on her lawn after t hours of snow falling ?

Snow on lawn after 2 hours ?

Snow on her lawn after t hours ?

Answers

Answer:

2.11 inches long and 2.11 inches wide

find the value of x.

A. 1
B. 5
C. 7
D. 8

Answers

Answer:

x is equal to 5

Step-by-step explanation:

78 = 12x + 18

12x + 18 = 78

12x = 78 - 18

12x = 60

x = 60/12

x = 5

btw i made 78 equal to 12x + 18 because it is parallel. they both equal the same (i think its called parallel. idrk)

X is equal to 5

78=12x+18

12x=78-18

12x=60

X=60/12

X=5

Basic Properties of Angles
Measure the angle in degrees.
120-
130
07
140-
Og
OZ
1504
160-
OT
70-
180
The angle measure is

Answers

the answer fwoukd be 120

(18,15),(16,-6) what the answer to this problem

Answers

Answer:

whats the question? not enough info

Carmen deposits $4000 into a simple interest account. The interest rate for the account is 4.25%.
Write a function that represents the balance in the account as a function of time t.

Answers

answer : f(t) = 4000 + 170t

f(t) = principal + (principal multiplied by interest rate) multiplied by time

f(t) = 4000 + (4000*.0425)t

f(t) = 4000 + 170t

Answer:  f(t) = 170t+4000

t = number of years

======================================================

Explanation:

We use the simple interest formula which is

i = P*r*t

where in this case,

P = 4000 = amount deposited aka principalr = 0.0425 = decimal form of the 4.25% annual interest ratet = unknown number of years

We then get the following

i = P*r*t

i = 4000*0.0425*t

i = 170t

Showing that the amount of simple interest earned is 170 times that of the number of years.

For instance, if Carmen waits t = 10 years, then she earns i = 170*t = 170*10 = 1700 dollars in interest alone.

The expression 170t is the interest only. Add on the original amount deposited to find the total account balance after t years. Therefore, we arrive at 170t+4000 to get the linear function f(t) = 170t+4000

The 170 acts like the slope while the 4000 is the y intercept.

The lines are parallel. Find x.

Answers

Answer:

As the lines are parallel, it shows that the two lines form 180° because they are angles on the same side of the transversal. A transversal is a line that bisects two lines.

Here,

(20x + 5)° + (24x - 1)° = 180°

=> (20x + 24x)° + (5 + (-1)  )° = 180°

=> 44x° + 4° = 180°

=> 44x = (180 - 4)°

=> x = 176 / 44

=> x = 4

Therefore, x = 4 is the solution of the equation.

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

x=4

Step-by-step explanation:

1 11 2,*÷;£$;$£÷,£$,$£?$*$;

please
work out
∛15.76 - 4.6³ ÷2.5/3

Answers

Answer:

-10.47413972 or -10.47

Step-by-step explanation:

Calculator

Answer:

-10.47 is the answer

Step-by-step explanation:

Calculator

How to solve 4x-8y=-3, -10x+20y=12 using method of elimination​

Answers

Answer:

Inconsistent System

Step-by-step explanation:

why is the length of segment BD is the same as the length of segment AB ?

Answers

Any point on the outside edge of a circle from the center of a circle would be the radius, which would be the same distance all the way around. The outer edge of the larger circle goes through the dot labeled B, which is the center of the smaller circle, therefore any distance from B to the outer edge would be the same.

The length of segment BD is the same as the length of segment AB because any distance from B to the outer edge would be the same.

What is a circle?

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

Any point on the outside edge of a circle from the center of a circle will be the radius, which would be the same distance all the way around.

The outer edge of the larger circle goes through the dot labeled B, which means the center of the smaller circle.

Therefore any distance from B to the outer edge would be the same.

Learn more about circle here;

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Eli measures the length of a painted stripe on one wall of his room. The stripe is 1012 feet long. He wants to mark sections on the stripe that are each 78 feet long.

How many sections will be marked on the stripe?

(It says high school but it’s middle)

Answers

Answer:

im pretty sure its 12

Step-by-step explanation:

you have to do 1012 divided by 78 and you get 12.97, but since he wants them to all be 78 feet long, it cant be 13.

3 gallons = _______ quarts

A.8

B.16

C.4

D.12

Answers

Answer:

D. 12

thats your answer.

have a nice day!

D……,……………………………………………..


45% discount off of $700
Original:
Discount:
New price




Pls help me

Answers

ANSWER: You will pay $385 for a item with original price of $700 when discounted 45%. In this example, if you buy an item at $700 with 45% discount, you will pay 700 - 315 = 385 dollars

Answer:

original = $700

discount = $315

new price= $385

Step-by-step explanation:

45% of $700 is $315

$700-$315=$385

Please can someone help me with this.
y^2 - 2y when y=6

Answers

Answer:

See below.

Step-by-step explanation:

y^2-2y

6^2-2(6)

36-12

24

-hope it helps

richard built a model of a ferris wheel the model has a height of 18 cm the actual ferris wheel has a height of 72m what scale factor did richard use for the model

Answers

Answer:

1:400

Step-by-step explanation:

1 m = 100 cm

72 m = 7200 cm

Ratio of model size to real size

18 cm : 7200 cm

Divide both numbers by 18.

1 cm : 400 cm

Divide both sides by cm.

1:400

I need to now how many grams of protein are in 1 cup of cereal.?

Answers

Answer:

There are 11 grams of protein in one cup of cereal.

Step-by-step explanation:

which is the greatest value A.two and hundredhs B.two and five thousandths C.two and five tenths

Answers

Answer:

Two and hundredths

Step-by-step explanation: I'm in college so I think I am capable of answering a middle school question thank you very much, and make sure to mar me brainliest.

Evaluate n2-m; use m=7, and n=8

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

(8)*2-7

16-7

9

Make sure to follow PEMDAS!

What is the slope of the line?

Answers

Answer:

See below.

Step-by-step explanation:

(2,1),(7,4)

4-1=3

7-2=5

3/5 is the slope.

-hope it helps

Answer:

slope = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2,1) and (x₂, y₂ ) = (7, 4) ← 2 points on the line

m = [tex]\frac{4-1}{7-2}[/tex] = [tex]\frac{3}{5}[/tex]

Eden has a part time job. She gets paid £7. 20 per hourthis week she worked for 18 1/2 hourswork out Eden's total pay for this week

Answers

Answer:

$133.20

Step-by-step explanation:

Since the amount of hours she worked isn't a whole number, we can first separate 18 and 1/2 and work the problem out one at a time.

1. Multiply 7.20 by 18 to get 129.60

2. Multiply 0.50 by 7.20 to get 3.60.

3. Add 129.60 and 3.60 together to get the answer, 133.20.

130/240 in its simplest form

Answers

Answer:

13/24

Step-by-step explanation:

divide both sides by 10.

pls mark brainliest

Answer:

13/24

Divide the numbers by 10.

[tex]\frac{130/10}{240/10} = \frac{13}{24}[/tex]

With that information, the answer is 13/24.

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