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natima [27]
3 years ago
5

Fill in the blanks to complete the rules. You may use the same words twice.

Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0
1. Same , 2. Parallel
3. Reciprocals, 4. Perpendicular
5. Same , 6. Reciprocal
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A metal bar has a mass of 960g and a volume of 120cm³. Find the density of the metal in the bar.
aniked [119]

Answer:

Density = 8g/cm³

Step-by-step explanation:

Density = Mass/Volume

Given the following

Mass = 960g

Volume = 120cm^3

Substitute

Density = 960g/120cm^3

Density = 8g/cm³

8 0
3 years ago
The art teacher has 48 paintbrushes. She puts 8 paintbrushes on each table in her classroom. How many tables are in her classroo
andre [41]
6 tables

Since there are 48 brushes and 8 paintbrushes on each table, divide 48 by 8 to get 6
4 0
3 years ago
Read 2 more answers
g In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies.The value o
nevsk [136]

Answer:

Option C is correct.

The value of the z statistic for testing equality of the proportion of smokers in 1995 and 2010 = 2.05

Step-by-step explanation:

Complete Question

In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study of national smoking trends, two random samples of U.S. adults were selected in different years: The first sample, taken in 1995, involved 4276 adults, of which 1642 were smokers. The second sample, taken in 2010, involved 3908 adults, of which 1415 were smokers. The samples are to be compared to determine whether the proportion of U.S. adults that smoke declined during the 15-year period between the samples.

Let p₁ be the proportion of all U.S. adults that smoked in 1995. Let p₂ denote the proportion of all U.S. adults that smoked in 2010.

The value of the z statistic for testing equality of the proportion of smokers in 1995 and 2010 is

A. z = 1.39.

B. z = 1.66.

C. z = 2.05.

D. z = 4.23.

Solution

The test statistic for two samples test is given as

z = (p₁ - p₂)/σ

σ = √{[p₁(1-p₁)/n₁] + [p₂(1-p₂)/n₂]}

p₁ = Proportion of smokers in 1995 = (1642/4276) = 0.384

n₁ = 4276

p₂ = Proportion of smokers in 2010 = (1415/3908) = 0.362

n₂ = 3908

σ = √{[0.384(1-0.384)/4276] + [0.362(1-0.362)/3908]}

σ = √[(0.384×0.616/4276) + (0.362×0.638/3908)] = √(0.0000553189 + 0.0000590983) = √0.0001144172 = 0.0106965976 = 0.010697

z = (p₁ - p₂)/σ

z = (0.384 - 0.362)/0.010697

z = 2.05

Hope this Helps!!!

3 0
3 years ago
The height of a trapezoid is 8 ft and its area is 116 ft2. One base of the trapezoid is 1 ft shorter than twice the length of th
klio [65]

Answer:

Step-by-step explanation:

h = 8 ft

b₁ = 2b₂-1

area = h(b₁+b₂)/2 = 116

8((2b₂-1)+b₂)/2 = 116

3b₂-1 = 29

3b₂ = 30

b₂ = 10 ft

b₁ = 2b₂-1 = 19 ft

The bases are 19 ft and 10 ft

6 0
3 years ago
Can someone help me with this please
TiliK225 [7]

Answer:

-10

Step-by-step explanation:

f(3) just means plug the 3 in replace of x

f(3) = -4(3)+2

f(3)= -12+2

f(3)=-10

6 0
2 years ago
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