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n200080 [17]
3 years ago
10

7 times a number is at least 12 more than three times the number

Mathematics
1 answer:
vredina [299]3 years ago
3 0
7x is smaller than 3x
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A sample of 300 urban adult residents of a particular state revealed 65 who favored increasing the highway speed limit from 55 t
forsale [732]

Answer and explanation:

Null hypothesis(H0) says sentiment for increasing speed limit in the two populations is the same

Alternative hypothesis(Ha) says sentiment for increasing speed limit in the two populations is different

Where p1 is the first population proportion =65/297= 0.22

And p2 is the second population proportion = 78/189= 0.41

P= p1+p2/n1+n2= 65+78/297+189= 0.29

Hence H0= p1-p2=0

Ha=p1-p2≠0

Test statistic= p1-p2/√p(1-p) (1/n1+1/n2)

= 0.22-0.41/√0.29(1-0.29)(1/297+1/189)

= -4.49

Critical value at 95% significance level= 1.96( from tables)

We therefore reject null hypothesis as critical value is greater than test statistic

Therefore the sentiment for increasing speed limit in the two populations is different

b. at proportions of 0.24 and 0.40 for p1 and p2 respectively

Test statistic = 0.24-0.40/0.29(1-0.29)(1/297+1/189)

= -3.78

P value is 0.0002 at 0.05 significance level

Hence probability =0.4998

7 0
3 years ago
What is the approximate volume of the
zhannawk [14.2K]
The answer is : 10416.67ft^3

8 0
3 years ago
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Jay's mother bought a rectangular rug for the dining room. The dimensions of the rug are 4 yards by 3 yards. Which is the correc
Tasya [4]
The answer will be B. Hope it help!
5 0
3 years ago
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Principal=$100 rate=5% years=3 what is the interest?
hammer [34]

Answer:

Interest would be $15 every 3 years

Step-by-step explanation:

Interest = Principal x Rate x Time

Interest = 100 x 5% x 3

Interest = 5 x 3

Interest = 15

6 0
3 years ago
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S(x)=30x+45
F(x)=90x+35
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3 years ago
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