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Tcecarenko [31]
2 years ago
12

What is the distance between the points (4, 3) and (1, -1) on the coordinate

Mathematics
1 answer:
Delvig [45]2 years ago
7 0

The distance between the points (4, 3) and (1, -1) on the coordinate plane will be 5 units. Then the correct option is C.

<h3>What is the distance between two points?</h3>

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D² = (x - p)² + (y - q)²

The points are given below.

(4, 3) and (1, -1)

Then the distance between the points will be

D² = (4 - 1)² + (3 + 1)²

D² = 3² + 4²

D² = 9 + 16

D² = 25

D = 5 units

Then the correct option is C.

Learn more about the distance between two points here:

brainly.com/question/16410393

#SPJ1

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A researcher examines 27 water samples for mercury concentration. The mean mercury concentration for the sample data is 0.097 cc
jonny [76]

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation = 0.0074

n = number of samples = 27

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 27 - 1 = 26

Since confidence level = 90% = 0.90, α = 1 - CL = 1 – 0.9 = 0.1

α/2 = 0.1/2 = 0.05

the area to the right of z0.05 is 0.05 and the area to the left of z0.05 is 1 - 0.05 = 0.95

Looking at the t distribution table,

z = 1.706

The critical value is 1.706

Margin of error = 1.706 × 0.0074√27

= 0.0024

The 90% confidence interval is

0.097 ± 0.0024

4 0
3 years ago
Plz help me fast!!!
Snezhnost [94]
72 because right number on the top of the bar is six, and 12•6=72
8 0
3 years ago
Solve for y. Please help!!
Nadya [2.5K]

Answer:

y=3\sqrt{7}\ units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

we know that

In the right triangle ABD

tan(

In the right triangle BCD

tan(

remember that

m< BAD=m<CBD

therefore

tan(

equate the equations

y/9=7/y

y^{2}=63

y=3\sqrt{7}\ units

7 0
3 years ago
What is the sum of any rational number and its opposite and why
VladimirAG [237]

Answer:

Step-by-step explanation:

If by opposite you mean...

1 opposite is -1

If so then its 0 because any rational number and its reciprocal is always 0 its math crazy stuff

8 0
3 years ago
-4/4- (-8/4)<br><br> Write answer as a decimal
olga_2 [115]
-4/4 can be reduced to -2.
(-8/4) can be reduced to -1.
What you have to do next is to add -1-(-2).
The final answer is 1.
Hope that helps!!!.
8 0
3 years ago
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