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slega [8]
3 years ago
5

I need help with this

Mathematics
1 answer:
Lana71 [14]3 years ago
8 0
Alright, so with a 2x3 table there are six categories. Since there's one variable (gender) that's separated into two, we put those in. In addition, since there are 3 ways to separate how many times people wash their hands every day, we put those in, so it would be something like

Gender     Washes hands 1 or less times per day    

Male    66

Female   2


Washes hands 2-7 times/day    Washes hands 8+ times/day

583                                             89
160                                             42

Since the percentage of females that wash their hands once or less per day is clearly less than the percentage of males that do, as well as that the percentage of females that wash their hands 8+ times a day outweigh the males that do, it's safe to say that females on average wash their hands more
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D) infinitely many

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3 years ago
2−1/2n=3n+16<br><br> ​<br><br> n=3n+16
romanna [79]

Answer:

The answer is

n=5 3/5

Step-by-step explanation:

first collect the like terms:

2-1/2n=3n+16

then...

3n-1/2=16-2

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3 0
4 years ago
The figure shows a person estimating the height of a tree by looking at the
FrozenT [24]

Answer:

The proportion that can be used to estimate the height of the tree is option;

A. \dfrac{h}{12} = \dfrac{6}{5}

Step-by-step explanation:

The given parameters in the question are;

The medium through which the person looks at the top of the tree = A mirror

The angle formed by the person and the tree with the ground = Right angles = 90°

The distance of the person from the mirror, d₁ = 5 ft.

The height of the person, h₁ = 6 ft.

The distance of the tree from the mirror, d₂ = 12 ft.

The angle formed by the incident light from the tree on the mirror, θ₁ = The angle of the reflected light from the mirror to the person, θ₂

Let 'A', 'B', 'M', 'T', and 'R' represent the location of the point at the top of the person's head, the location of the point at the person's feet, the location of the mirror, the location of the top of the tree and the location of the root collar of the tree, we have;

TR in ΔMRT = The height of the tree = h, and right triangles ΔABM and ΔMRT are similar

The corresponding legs are;

The height of the person and the height of the tree, which are AB = 6 ft. and TR = h, respectively

The distances of the person and the tree from the mirror, which are BM = 5 ft. and MR = 12 ft. respectively

∴ The angle formed by the incident light from the tree on the mirror, θ₁ = ∠TMR

The angle of the reflected light from the mirror to the person, θ₂ = ∠AMB

Given that θ₁ = θ₂, we have;

tan(θ₁) = tan(θ₂)

∴ tan(∠TMR) = tan(∠AMB)

tan\angle X = \dfrac{Opposite \ leg \ length \ to \ reference \ angle}{Adjacent \ leg \ length \ to \ reference \ angle}

tan(\angle TMR) = \dfrac{TR}{MR} = \dfrac{h}{12}

tan(\angle AMB) = \dfrac{AB}{BM} = \dfrac{6}{5}

From tan(∠TMR) = tan(∠AMB), we have;

\dfrac{h}{12} = \dfrac{6}{5}

\therefore h = \dfrac{6 \, ft.}{5 \, ft.} \times 12 \, ft. = 14.4 \, ft.

The height of the tree, h = 14.4 ft.

Therefore, from the proportion \dfrac{h}{12} = \dfrac{6}{5} the height of the tree can be estimated.

3 0
3 years ago
the volume of a pencil case is 20 in3 the pencil case is a rectangular prism with a hight of 8 in and a lenght of 5 in
nydimaria [60]
V = l*w*h
20 = 5*w*8
20 = 40*w
divide both sides by 40
20/40 = w
1/2 = w
The width is 1/2 inch
8 0
3 years ago
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