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3 years ago

John Hay, George W. Goethals,and William C. Gorgas were all involved in

1 answer:

8 0

John Frank Stevens, William C Gorgas and George Washington Goethals 1914 (opened)The building of the 50-mile-long Panama Canal was a collosal project, joining together the Pacific and Atlantic oceans by digging away 240 million metric tons of earth through the Isthmus of Panama. Almost as big a project was sanitising the area around the canal, which was mosquito infested and home to serious diseases like Malaria and Yellow Fever.
<span> In 1907 President Roosevelt appointed George Washington Goethals, a military engineer, as head of the project, and under his leadership the canal was finally completed in 1914, two years ahead of the 1916 target. Of benefit to the whole world, the achievement of the Panama Canal signalled American dominance in project management and engineering like no other project of the day.</span>

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The two figures are congruent. Find the values of the unknown variables.

kupik [55]

Answer:

y = 71

z = 18

x = 14

Step-by-step explanation:

Figure on the right is simply figure on the left but flipped on its side. we know this because the question tells us the shapes are congruent (which means equal, the same)

7 0

2 years ago

An auto company claims that the fuel efficiency of its sedan has been substantially improved. A consumer advocate organization w

zzz [600]

Answer:

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{0.983 -0}{\frac{1.685}{\sqrt{12}}}=2.021$

$df=n-1=12-1=11$

$p_v =P(t_{(11)}>2.021) =0.0342$

If we compare the the p value with the significance level provided $\alpha=0.1$ , we see that $p_v < \alpha$ , so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.

Step-by-step explanation:

Previous concepts

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.

Let put some notation :

x=test value 2017 , y = test value 2019

x: 28.7 32.1 29.6 30.5 31.9 30.9 32.3 33.1 29.6 30.8 31.1 31.6

y: 31.1 32.4 31.3 33.5 31.7 32.0 31.8 29.9 31.0 32.8 32.7 33.8

Solution to the problem

The system of hypothesis for this case are:

Null hypothesis: $\mu_y- \mu_x \leq 0$

Alternative hypothesis: $\mu_y -\mu_x >0$

Because if we have an improvement we expect that the values for 2019 would be higher compared with the values for 2017

The first step is calculate the difference $d_i=y_i-x_i$ and we obtain this:

d: 2.4, 0.3, 1.7,3,-0.2, 1.1, -0.5, -3.2, 1.4, 2, 1.6, 2.2

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{11.8}{12}=0.983$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =1.685$

We assume that the true difference follows a normal distribution. The 4th step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{0.983 -0}{\frac{1.685}{\sqrt{12}}}=2.021$

The next step is calculate the degrees of freedom given by:

$df=n-1=12-1=11$

Now we can calculate the p value, since we have a right tailed test the p value is given by:

$p_v =P(t_{(11)}>2.021) =0.0342$

4 0

3 years ago

Multiply and divide fractions

storchak [24]

Answer:

I would need to see the problem.

4 0

3 years ago

Read 2 more answers

Determine whether the situation is linear or nonlinear, and proportional or nonproportional

Arlecino [84]

Answer:

linear and non-proportional

Step-by-step explanation:

When the same amount is added each week, the relationship is linear. When the initial value is 50, not zero, the relationship is non-proportional.

6 0

3 years ago

Can someone help me please

riadik2000 [5.3K]

Answer:

50 People

Step-by-step explanation:

The answer must be 50 people because if you add up all the data it shows

6 0

3 years ago