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just olya [345]
3 years ago
15

Bill and Annie's ages add up to a total of 30 years. Bill is six years older than twice Annie's age. How old are Bill and Annie?

Mathematics
1 answer:
omeli [17]3 years ago
6 0
Bill is 5 years old and annie is 6 years old so, you multiply 5×6=30
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Which equation or inequality correctly compares 15006.099 and 15006.101? A.15006.099<15006.101 B.15006.099>15006.101 C.150
wariber [46]

Hey!

-------------------------------------------------

\boxed{ \bf A.~15,006.099~

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Explanation:

Since both numbers have 15,006 before the decimal we only need to see which number has a bigger decimal.

0.099 < 0.101

0.101 - 0.099 = 0.002

So, 15,006.101 is 0.002 bigger than 15,006.099!

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Hope This Helped! Good Luck!

8 0
3 years ago
A tour boat left the dock and traveled west at an average speed of 10 mph. A smaller fishing boat left some time later traveling
valina [46]

Answer:

The answer is D.

Step-by-step explanation:

Time = Distance / Speed

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Time = 120 / 12

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6 0
3 years ago
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jasenka [17]

Answer:

The 90% confidence interval is (0.1897, 0.2285).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}

For this problem, we have that:

From a July 2019 survey of 1186 randomly selected Americans ages 18-29, it was discovered that 248 of them vaped (used an e-cigarette) in the past week. This means that n = 1186, \pi = \frac{248}{1186} = 0.2091

Construct a 90% confidence interval to estimate the population proportion of Americans age 18-29 who vaped in the past week.

So \alpha = 0.10 , z is the value of Z that has a pvalue of 1 - \frac{0.10}{2} = 0.95, so z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 - 1.645\sqrt{\frac{0.2091*0.7909}{1186}} = 0.1897

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2091 + 1.645\sqrt{\frac{0.2091*0.7909}= 0.2285

The 90% confidence interval is (0.1897, 0.2285).

3 0
3 years ago
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MariettaO [177]

Answer: y-1=6(x+7)

Step-by-step explanation:

The formula for point-slope form is y-y_1=m(x-x_1). Since we are given the point and slope, we can directly plug them in.

y-1=6(x-(-7))            [distribute by -1]

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Now, we know that the point-slope form is y-1=6(x+7).

8 0
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skad [1K]

Answer:

(5,5)

Step-by-step explanation:

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