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2 years ago

7

Two trucks leave a factory at the same time one truck travels east at 60 miles per hour and the other travels west at 30 miles p

er hour. In how many hours will they be 150 miles apart

1 answer:

aleksandrvk [35]2 years ago

3 0

Answer:

1hr 40 minutes

Step-by-step explanation:

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High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers

mamaluj [8]

Answer:

The 95% confidence interval the average maximum power is (596.0 to 644.0)

Step-by-step explanation:

Average maximum of the sample = x = 620 HP

Standard Deviation = s = 45 HP

Sample size = n = 16

We have to calculate the 95% confidence interval. The value of Population standard deviation is unknown, and value of sample standard deviation is known. Therefore, we will use one sample t-test to build the confidence interval.

Degrees of freedom = df = n - 1 = 15

Critical t-value associated with 95% confidence interval and 15 degrees of freedom, as seen from t-table = $t_{\frac{\alpha}{2}}$ = 2.131

The formula to calculate the confidence interval is:

$(x-t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} }, x+t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} })$

We have all the required values. Substituting them in the above expression, we get:

$(620-2.131 \times \frac{45}{\sqrt{16} }, 620+2.131 \times \frac{45}{\sqrt{16} })\\\\ =(596.0 , 644.0)$

Thus, the 95% confidence interval the average maximum power is (596.0 to 644.0)

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2 years ago

Why was the far eastern diplomat at the north pole

n200080 [17]

The reason why the far eastern diplomat was at the north pole was : he got disoriented To travel in the past, people in the past rely on stars and compass. But due to electromagnetic phenomenon, the compass tend to not functioning properly and make it really difficult to actually find out the correct path

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2 years ago

A sphere has a radius of 7.5 centimeters. To the nearest cubic centimeter, what is the volume of the sphere?

Naya [18.7K]

Volume of sphere = 1766.25 cm^3

Step-by-step explanation:

The radius of sphere = 7.5 cm

Volume of sphere = ?

The formula used is:

$Volume= \frac{4}{3}\pi r^3$

Putting values:

$Volume= \frac{4}{3}\pi r^3\\Volume=\frac{4}{3}*3.14* (7.5)^3\\Volume= 1766.25\,\,\,cm^3$

So, Volume of sphere = 1766.25 cm^3

Keywords: Volume of sphere

Learn more about Volume of sphere at:

#learnwithBrainly

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2 years ago

Here are 15,000 students at college x. of those students, 1,700 are taking both ethics and metaphysics this semester. there are

tekilochka [14]

I think the answer is 1,600 totals students taking metaphysics

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2 years ago

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Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two dis

dem82 [27]

Two distinct roots means two real solutions for x (the parabola needs to cross the x-axis twice)

Vertex form of a quadratic equation: (h,k) is vertex

y = a(x-h)^2 + k

The x of the vertex needs to equal 3

y = a(x-3)^2 + k

In order to have two distinct roots the parabola must be (+a) upward facing with vertex below the x-axis or (-a) downward facing with vertex above the x-axis. Parabolas are symmetrical so for an easy factorable equation make "a" 1 or -1 depending on if you want the upward/downward facing one.

y = (x-3)^2 - 1

Vertex (3,-1) upwards facing with two distinct roots 4 and 2

y = x^2 -6x + 9 - 1

y = x^2 -6x + 8

y = (x - 4)(x - 2)

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2 years ago

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