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pishuonlain [190]
3 years ago
9

Two numbers have a ratio of 4 to 5 and the sum of the numbers is 108 what are the two numbers??

Mathematics
1 answer:
ipn [44]3 years ago
8 0

Answer: 48,60

Step-by-step explanation:

4x+5x=108

9x=108

x=108/9=12

12•4=48

12•5=60

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3 years ago
A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americans who are in favor of a ne
Evgen [1.6K]

Answer:

a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.

b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.

About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.

Step-by-step explanation:

We have to calculate a 90% confidence interval for the proportion.

The sample proportion is p=0.6619.

p=X/n=370/559=0.6619

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.6619*0.3381}{559}}\\\\\\ \sigma_p=\sqrt{0.0004}=0.02

The critical z-value for a 90% confidence interval is z=1.6449.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.6449 \cdot 0.02=0.0329

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.6619-0.0329=0.6290\\\\UL=p+z \cdot \sigma_p = 0.6619+0.0329=0.6948

The 90% confidence interval for the population proportion is (0.6290, 0.6948).

3 0
2 years ago
During the 2005-2006 term. 184 decisions were announced. This is a 44.6% decrease
Artyom0805 [142]

Answer:

332.

Step-by-step explanation:

Let the number of decisions made in 1982-1983 be x.

44.6% = 0.446.

This is a decrease,  so the number of decisions announced in 2005-2006 is

(1 - 0.446) * x and this =  184.

0.554x = 184

x = 184/0.554

x = 332.

8 0
2 years ago
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