The standard deviation of a sample taken from population A is 17.6 for a sample of 25. The standard deviation of a sample taken from population B is 21.2 for a sample of 30. The standard deviation of the sample mean difference is?

Answers

Answer 1
Answer: The answer is 5.5

The standard deviation (sd or σ) of the sample mean difference is:
sd = √(sd₁²/n₁ + sd₂²/n₂)

For the population A:
sd₁ = 17.6
n₁ = 25

For the population B:
sd₂ = 21.2
n₂ = 30

Hence:
sd = √(sd₁²/n₁ + sd₂²/n₂)
    = √(17.6²/20 + 21.2²/30)
    = √(309.76/20 + 449.44/30)
    = √(15.49 + 14.98)
    = √(30.47)
    = 5.5

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What is the perimeter of triangle ABC with vertices A(-1,-2), B(2,-6), and C(-3,-6)?

Answers

find the distance between the points and that is perimiter

find
A to B
B to C
C to A
we need the distance formula
D=\sqrt{(x2-x1)^(2)+(y2-y1)^(2)}
where D is the distance between points (x1,y1) and (x2,y2)

A to B
(-1,-2) to (2,-6)
D=\sqrt{(2-(-1))^(2)+(-6-(-2))^(2)}=5

B to C
(2,-6) to (-3,-6)
since the y value stayed the same, find the distance betwen the x values
2 to -3 is distance of 5

C to A
(-3,-6) to (-1,-2)
D=\sqrt{(-1-(-3))^(2)+(-2-(-6))^(2)}=2√5

add everybody

5+5+2√5=10+2√5 units

Tion. Then die1
Which of the following best describes a
rational number
A fraction
deo
A Any integer or whole number
B Any decimal or integer
C
All decimals, integers, and whole
numbers
D
Numbers that can be written as
fractions

Answers

Answer:

  D  Numbers that can be written as fractions

Step-by-step explanation:

A rational number is one that can be written as a ratio: a fraction with integer numerator and denominator.

__

The term "decimal" as used here is sufficiently non-specific that we cannot seriously consider it to be part of a suitable answer. A terminating or repeating decimal will be a rational number. A non-terminating, non-repeating decimal will not be a rational number.

While integers and whole numbers are included in the set of rational numbers, by themselves, they do not constitute the best description of the set of rational numbers.

Find a fraction between 3/4 and 4/5

Answers

first, find a common denominator: 40 then, convert the fractions: 30/40 and 32/40 between those two, it would be 31/40 answer: 31/40

Final answer:

A fraction between 3/4 and 4/5 can be found using averaging. By converting these fractions to decimal equivalents, adding them together, and dividing by 2 we get 0.775, which is equivalent to the fraction 31/40.

Explanation:

To find a fraction between 3/4 (0.75) and 4/5 (0.8), we can use an approach called averaging where we add both fractions and divide the sum by 2. Using decimal equivalents can make the calculation more straightforward. You add 0.75 and 0.8 to get a sum of 1.55, then divide by 2 to get 0.775. A fraction equivalent to 0.775 is 31/40, which is between 3/4 and 4/5.

Learn more about Finding Fractions Between Two Others here:

brainly.com/question/35590783

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What type of triangle has two congruent sides and two angles measuring 45 degrees?

Answers

That's an isosceles right triangle.

Solve question in photo. Mathematics help. last one

Answers

easeier than last
y=2x+6
sub 2x+6 for y
3x-(2x+6)=6
3x-2x-6=6
x-6=6
add 6
x=12
sub
y=2x+6
y=2(12)+6
y=24+6
y=30

x=12
y=30
(x,y)
(12,30)



soltion is (12,30)

What is the equation for the line parallel to y = 8x + 13 that contains P(–7, –4)?

Answers

Answer:

-33 and -11

Step-by-step explanation:

As putting values in it.