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Deffense [45]
3 years ago
15

Lee’s kitten, Sophia, is 2 1/3 times as heavy as she was last year. Sophia now weighs 21 ounces. What did she way a year ago?

Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0

Step-by-step explanation:

x= weight last year

2 1/3x = 21

Rearrange to get x by itself

x= 21 ÷ 2 1/3

x= 9

So she weighed 9 ounces

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Oliga [24]
Get all your variables on same side and solve x=-2
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3 years ago
A study found that, in 2005, 12.5% of U.S. workers belonged to unions (The Wall Street Journal, January 21, 2006). Suppose a sam
Julli [10]

Answer:

There is not enough evidence to support the claim that union membership increased.  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 12.5% = 0.125

Alpha, α = 0.05

Number of women belonging to union , x = 52

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.125\\H_A: p > 0.125

The null hypothesis sates that 12.5% of U.S. workers belong to union and the alternate hypothesis states that there is a increase in union membership.

This is a one-tailed(right) test.  

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{52}{400} = 0.13

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.13-0.125}{\sqrt{\frac{0.125(1-0.125)}{400}}} = 0.3023

Now, we calculate the p-value from the table.

P-value = 0.3812

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Conclusion:

Thus, there is not enough evidence to support the claim that union membership increased.

8 0
3 years ago
What is the classifications of polynomials -gh4i+3g5
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Answer:

The polynomial -gh⁴i + 3g⁵ is a binomial, since it has two terms

Degree of polynomial: degree of a polynomial is the term with highest of exponent.

Degree of binomial -gh⁴i + 3g⁵ = 6

1st term(-gh⁴i ) = (power of g = 1, power of h = 4, power of i = 1)

2nd term(3g⁵) = (power of g = 5)

the polynomial -gh⁴i + 3g⁵ is a 6 degree binomial.

5 0
3 years ago
What is the quotient of 1/6 divided by 2?
Yakvenalex [24]

Answer:

1/12 or 0.083

Step-by-step explanation:

3 0
3 years ago
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