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ycow [4]
3 years ago
14

Which equation can be used to solve for x in the following diagram? 7xº 11x°

Mathematics
1 answer:
telo118 [61]3 years ago
8 0

Answer:

7x° + 11x° = 90°

(Required equation)

Step-by-step explanation:

7x° + 11x° = 90°

(complementary angles)

18x° = 90°

18x = 90

x = 90/18

x = 5

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Suppose that an internal report submitted to the managers at a bank in Boston showed that with 95 percent confidence, the propor
Dmitry [639]

Answer:

The sample size used to compute the 95% confidence interval is 1066.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

The 95% confidence interval for proportion of the bank's customers who also have accounts at one or more other banks is (0.45, 0.51).

To compute the sample size used we first need to compute the sample proportion value.

The value of sample proportion is:

\hat p=\frac{Upper\ limit+Lower\ limit}{2}=\frac{0.45+0.51}{2}=0.48

Now compute the value of margin of error as follows:

MOE=\frac{Upper\ limit-Lower\ limit}{2}=\frac{0.51-0.45}{2}=0.03

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the value of sample size as follows:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.03=1.96\times \sqrt{\frac{0.48(1-0.48)}{n}}\\(\frac{0.03}{1.96})^{2}=\frac{0.48(1-0.48)}{n}\\n=1065.404\\n\approx1066

Thus, the sample size used to compute the 95% confidence interval is 1066.

4 0
2 years ago
Convert 50 minutes to seconds
REY [17]
The answer is 3000 seconds
8 0
3 years ago
Read 2 more answers
Water tank holds 711 gallons but is leaking at a rate of 4 gallons per week. second water tank holds
Shalnov [3]
After 79 weeks the tanks will have the same amount of water.
948-7*79=395
711-4*79=395
7 0
3 years ago
Use compatible numbers to estimate the quotient. 635÷9
gayaneshka [121]
Here, 635/9
Nearest divisible of 9 is 630 so, 
It would be: 70 * 9 + 5

In short, Your Quotient would be 70

Hope this helps!
6 0
3 years ago
Please help me figure this out!!
SpyIntel [72]

Answer:

$400 \frac{18}{25} OR \frac{10018}{25}

Step-by-step explanation:

$400 stays the same, 72 cents is 72/100. Simplify and voila

6 0
2 years ago
Read 2 more answers
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