MATHEMATICS HIGH SCHOOL

Heather sampled the ages of 50 randomly selected people that frequented a store and obtained a mean of 24. She constructed a 95% confidence interval which was (19.1, 28.9). What is the margin of error?A) 2.5 years
B) 4.9 years
C) 5 years
D) 6.7 years

Answers

Answer 1
Answer: The correct answer for the question that is being presented above is this one: "D) 6.7 years." Heather sampled the ages of 50 randomly selected people that frequented a store and obtained a mean of 24. She constructed a 95% confidence interval which was (19.1, 28.9). The margin of error is 6.7  years
Answer 2
Answer:

Answer: it’s b

Step-by-step explanation:

Just did it

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Perimeter of a triangle with the given sides 12in 9in 15in

Answers

36 in for the triangle the perimeter is the outside length so it...
to find a perimeter add all the sides of the shape.  so 12+9+15 is 36.  the perimeter of the triangle is 36

What is the 25th term of the arithmetic sequence where a1=8 and a9=48 ? answers to choose from. a)113. b)118. c)123. d)128

Answers

First we need to find "d" which is difference between any 2 successive members of the sequence. Because the sequence is arithmetic that means that the difference between any 2 successive members is same and constant.

This is the formula for any member of sequence at position "n"
An = A1 + (n-1)*d
d = (a9 - a1)/(9-1)
d = 5

Now we calculate 25th member:
a25 = a1 + (25-1)*5
a25 = 128

Answer is d)

Answer:

128

Step-by-step explanation:

A 354​-inch board is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece

Answers

Answer:

54 inches

Hope this helps! :)

Step-by-step explanation:

What are the coordinates of the image (-3,-1) after a 90 counterclock wise e about the orgin and then translation 4 units up

Answers

1. The counterclockwise rotation by 90° about the origin has rule:

(x,y)→(-y,x).

Then

(-3,-1)→(1,-3).

2. Translation 4 units up has rule:

(x,y)→(x,y+4).

Then

(1,-3)→(1,1).

Answer: after composition of transformations the image point has coordinates (1,1).

How would i solve 4x-3y=8
5x-2y=-11

using the elimination method?
i'm in algebra 1 and we had a sub the day we were doing this and he was terrible explaining the situations on the worksheet. please explain

Answers

To use the elimination method, the coefficient of one variable in one equation must be the opposite number of the coefficient of the same variable in the second equation.

4x-3y=8 \n5x-2y=-11

Here you can multiply the first equation by 2, and the second equation by -3.

4x-3y=8 \ \ |\cdot 2 \n5x-2y=-11 \ \ |\cdot (-3) \n \n8x-6y=16 \n-15x+6y=33

Now you just add the equations by sides and solve for one variable.

8x-6y=16 \n \underline{-15x+6y=33 } \n8x-6y-15x+6y=16+33 \n8x-15x=16+33 \n-7x=49 \nx=-7

Now you solve for the other variable by substituting -7 for x in one of the equations.

4x-3y=8 \n4 \cdot (-7)-3y=8 \n-28-3y=8 \n-3y=8+28 \n-3y=36 \ny=-12

You could choose x at the beginning as well. Then you'd have:
4x-3y=8 \ \ |\cdot (-5)\n5x-2y=-11 \ \ |\cdot 4 \n \n-20x+15y=-40 \n\underline{20x-8y=-44 \ \ \ \ \ \ } \n-20x+15y+20x-8y=-40-44 \n15y-8y=-40-44 \n7y=-84 \ny=-12 \n \n4x-3y=8 \n4x-3 \cdot (-12)=8 \n4x+36=8 \n4x=8-36 \n4x=-28 \nx=-7

So the answer is:
x=-7 \n y=-12

Answer:

x=-7 and y=-12

Step-by-step explanation:

Moso bamboo can grow 90 cm per day. a Lombardy poplar can grow up to 1 cm per day. A botanical garden has a 5.5 m tall Lombardy poplar and a 0.3 m tall Moso bamboo. If each plant grows at its maximum rate, which plant will be the tallest at the end of the week?

Answers

Srry just needed points
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