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4 days ago

The height of the CN tower is about 550 m. What is the height of the CN tower in a scale drawing if the scale is 1:11000?

2 answers:

4 0

With a height exceeding 550 meters, the CN Tower held the title for the tallest free-standing structure globally until the Burj Khalifa was completed in 2010, reaching 828 meters, making it the largest man-made structure ever.

tester [8.8K]4 days ago

3 0

The height represented in the scale drawing of the CN Tower is 0.05 m. The explanation for this is as follows: The ratio of actual height to the scale is 1:11000, and knowing the actual height of the CN Tower is 550 m. Since this is a direct variation, the height in the scale drawing results in 0.05 m.

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Kevin drew a triangle with angle measures of 30 degrees and 40 degrees and side measures of 5 cm, 7cm, and 8 cm. Explain, using

lawyer [9248]

He created a scalene triangle.
A scalene triangle has sides and angles that do not measure alike.

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25 days ago

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when joe bowls he can get a strike 60% of the time, what is the probability jow will get at least 3 strikes out of 4 tries?

Leona [9271]

34.56%. This is a binomial probability that can efficiently be calculated using the following formula: Here, n signifies the total number of trials (in this case, 4), x denotes the number of "successes" (which is 3), p is the success probability (60% or 0.6), and q indicates the failure rate (1 - p, thus 0.4). Plugging these values into the formula yields the solution: in percentage form, the probability is found to be 34.56%.

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14 days ago

The number of "destination weddings" has skyrocketed in recent years. For example, many couples are opting to have their wedding

zzz [9093]

Answer:

Based on the findings, we infer that the average cost of a wedding is lower than the $30,000 that was initially suggested.

Step-by-step explanation:

The following data set is provided: (in thousands)

29100, 28500, 28800, 29400, 29800, 29800, 30100, 30600

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ denotes data points, $\bar{x}$ represents the mean, and n indicates the number of samples.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{236100}{8} = 29512.5$

The sum of squares of the differences equals 3408750

$S.D = \sqrt{\frac{3408750}{7}} = 697.82$

The population mean, μ = $30,000

The sample mean, $\bar{x}$ = $29512.5

Sample size, n = 8

Alpha, α = 0.05

Sample standard deviation, s = $697.82

Initially, we formulate the null hypothesis and the alternative hypothesis.

$H_{0}: \mu = 30000\text{ dollars}\\H_A: \mu < 30000\text{ dollars}$ A one-tailed t-test will be conducted for this analysis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

$t_{stat} = \displaystyle\frac{29512.5 - 30000}{\frac{697.82}{\sqrt{8}} } = -1.975$

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$t_{critical} \text{ at 0.05 level of significance, 7 degree of freedom } = -1.894$

$t_{stat} < t_{critical}$

Thus, we conclude that the average wedding cost is indeed less than the advertised $30,000.

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21 day ago

The most important component of a physical structure is a solid foundation on which the rest of the structure sits. A strong fou

tester [8851]

Answer and explanation:

Algebra revolves around the fundamental idea of using letters known as variables to represent quantities, which allows for solving for unknown values. Essentially, algebra involves transitioning from what is known to what is unknown to ascertain those unknown results. For instance, if we know a specific item was purchased twice but we're unsure of its price, we can denote this unknown price as 2a or 2p, depending on the selected variable. If the total spending for those items is, say, $50, we can set up the equation 2a = $50, which leads us to find that the cost per item is $25.

Algebra can also manifest itself in expressions, commonly referred to as algebraic expressions, which can be incorporated into equations, such as the previously mentioned 2a = $50. These expressions may take forms like 2a + 3b, where a and b designate the costs of different products that were acquired in quantities of 2 and 3, respectively.

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24 days ago

The graph shows the influence of the temperature T on the maximum sustainable swimming speed S of Coho salmon. (b) Estimate the

zzz [9093]

Based on the graph, it seems that S′(5) is approximately 2, while S′(25) seems to be around -2. The key observation is that these values are of opposite signs. This indicates that at roughly 5ºC, the Coho salmon experiences an increase of about 2 cm/sec in its maximum sustainable speed, whereas at 25ºC it encounters a decrease of approximately 2 cm/sec.

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29 days ago

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