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katrin [286]
3 years ago
14

Find the distance between the point - 3, 2 and 1 - 1​

Mathematics
1 answer:
dusya [7]3 years ago
7 0

Answer:

5 units

Step-by-step explanation:

Find the distance between the point - 3, 2 and 1 - 1​

Given data

x1= -3

y1= 2

x2= 1

y2= -1

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

subtitute

d=√((1-(-3))²+(-1-(2))²)

d=√((1+3))²+(-1-2))²)

d=√((4)²+(-3))²)

d=√16+9

d=√25

d=5

Hence the distance between the points is 5 units

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8% of what number is 2
Makovka662 [10]
8% = \frac{80}{100} =  \frac{80\div4}{100\div4} =  \frac{2}{25}

\frac{2}{25}*x=2

2x=25*2
2x=50
\boxed {x=25}
8 0
4 years ago
The goal for the size of the Santa on a Christmas Santa cup is 3.5 cm (T) with an acceptable tolerance of ± 0.9 cm. The grand me
Sindrei [870]

Answer:

The Cpk is 0.952

Step-by-step explanation:

The formula to calculate the Cpk of a process is

Cpk = min(\frac{USL-mean}{3*sigma}, \frac{mean-LSL}{3*sigma} )

where

USL (Upper Specification Limit) =3.5cm+0.9cm = 4.4cm

LSL (Lower Specification Limit) =3.5cm-0.9cm=2.6cm

Standard Deviation = sigma = 0.28cm

Mean = 3.4cm

So,

Cpk=min(\frac{4.4-3.4}{3*0.28} ,\frac{3.4-2.6}{3*0.28})\\\\Cpk=min(\frac{1}{0.84} ,\frac{0.8}{0.84})\\\\Cpk=min(1.190 ,0.952)\\\\\\

The Cpk is 0.952

7 0
3 years ago
Mrs. Anderson surveyed her class and asked each student, "How many hours do you spend
jonny [76]

Answer:

Step-by-step explanation:

8 0
4 years ago
Carry" it needed. Use the (27) 5 0 X 21​
jeka94

Answer:

I belive the answer will be 28,350

5 0
3 years ago
What is the equation of a line that is parallel to y=4/7x−3 and passes through (14, 4) ?
Anna35 [415]

Answer:

TRUE STATEMENT

Step-by-step explanation: You have to substitute 14 for x & 4 for y.

y = 4/7x − 3

4 = 4/7(14) - 3

4 = 8 - 3

4 = 4

TRUE STATEMENT


Hope this helps you!! :)


4 0
4 years ago
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