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zysi [14]
3 years ago
8

How is this solved. Ive tried different ways and cant get it

Mathematics
1 answer:
lukranit [14]3 years ago
3 0
It's kinda like using variables, but shapes in their place. Let's set the circle to x, the triangle to y, and the square to z. Now the equations say x+(y+z)=13, (y+z)=8, and x+y=7. First thing we can do it plug 8 into the first equation for y+z, getting x+8=13. Subtract 8 to both sides and x (or circle) equals 5. Plug 5 into the last equation, x+y=7 to solve for y, getting 5+y=7. Subtract 5 to both sides and y (or triangle) equals 2. Finally, plug two in for y in y+z=8, getting 2+z=8. Subtract 2 from both sides and z (or square) equals 6. Hope I've explained it clearly!!
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At the beginning of the month,Kimberly had $65.78. Since then,she has received three payments of $32.50 from her babysitting job
ivann1987 [24]

Answer:

98.28

Step-by-step explanation:

8 0
2 years ago
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A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 225 vinyl? glov
romanna [79]

Answer:

a)

H₀: ρ₁ ≤ ρ₂

H₁: ρ₁ > ρ₂

b)

Z= \frac{('p_{1} - 'p_{2}) - (p_{1} - p_{2})}{\sqrt{'p(1-'p)[\frac{1}{n_1} + \frac{1}{n_2} ]} } ≈ N(0;1)

c)

p-value < .00001

d)

Reject the null hypothesis.

The population proportion vinyl gloves that leak viruses is greater than the population proportion of latex gloves that leak viruses.

Step-by-step explanation:

Hello!

The objective is to test if the population proportion of vinyl gloves that leak viruses (population 1) is greater then the population proportion of latex gloves that leak viruses (population 2).

Sample 1 (Vinyl)

n₁= 225

Sample proportion 'ρ₁= 0.60

Sample 2 (Latex)

n₂= 225

Sample proportion 'ρ₂= 0.09

Pooled proportion: 'ρ= (x₁+x₂)/(n₁+n₂)= ( 'ρ₁ + 'ρ₂)/2= (0.60 + 0.09)/2= 0.345 ≅0.35

The hypothesis is:

H₀: ρ₁ ≤ ρ₂

H₁: ρ₁ > ρ₂

α: 0.05

The statistic to use is a pooled Z

Z= \frac{('p_{1} - 'p_{2}) - (p_{1} - p_{2})}{\sqrt{'p(1-'p)[\frac{1}{n_1} + \frac{1}{n_2} ]} } ≈ N(0;1)

The critical region is one-tailed to the right (positive), the critical value is:

Z_{1-\alpha } = Z_{0.95} = 1.64

If Z ≥ 1.64, you will reject the null hypothesis.

If Z < 1.64, you will not reject the null hypothesis.

Z= \frac{(0.6 - 0.09) - (0}{\sqrt{0.35(1-0.35)[\frac{1}{225} + \frac{1}{225} ]} } = 11.34

Since the calculated Z- value is greater than the critical value, the decision is to reject the null hypothesis. The population proportion vinyl gloves that leak viruses is greater than the population proportion of latex gloves that leak viruses.

P-value approach:

p-value < .00001

If you compare with the level of signification, you reach the same decision.

I hope it helps!

8 0
3 years ago
Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 4.5\text{ m}^34.5 m 3 4, point, 5, start t
Vika [28.1K]

Answer:

2 meters

Step-by-step explanation:

Given

Volume = 4.5m^3

The question is incomplete as the picture of the tent is not attached.

However, I will use the attached figure to answer the question.

From the attachment, we have:

b = 1.5m --- base of the tent

l = 3m --- length of the tent

Required

Determine the height of the tent

The volume of the tent is:

\frac{1}{2} * bhl = Volume

Where h is the required height.

So, we have:

\frac{1}{2} * 1.5 * h * 3 = 4.5

\frac{1}{2} * 1.5 * 3 * h = 4.5

\frac{1}{2} * 4.5 * h = 4.5

Make h the subject

h = \frac{4.5 * 2}{4.5}

h = 2m

<em>The height of the tent is 2m</em>

6 0
2 years ago
Read 2 more answers
9. What is the range of the relation described by the set of ordered pairs ((-2,0),(-1,2), (0, 1), (4,9),(5, -3))?
ladessa [460]

Answer:

{-3, 0, 1, 2, 9}

Step-by-step explanation:

It is the set of the second values in the ordered pairs.

5 0
2 years ago
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What is the equation of the following linear function?
Sladkaya [172]

Answer:

  x = 4

Step-by-step explanation:

A vertical line has an equation of the form x=constant. The constant value can be read from the graph as being 4, so the equation is ...

  x = 4

_____

The relation does not pass the vertical line test. (A vertical line intersects the graph in an infinite number of points, not just 1.) So, this is <em>NOT A LINEAR FUNCTION</em>.

4 0
2 years ago
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