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natita [175]
2 years ago
15

Hi, I need some help with the last question of the first problem and the answer to the second page.

Mathematics
1 answer:
bulgar [2K]2 years ago
6 0

Answer:

46.9 for the first one

Step-by-step explanation:

So sorry if i'm wrong <3

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Miguel deposits $2000 into a bank account that earns simple interest. He writes the expression 2000 + 2000(0.015)(t/12) to repre
oee [108]

Answer:

based on the equation he would make $2.5 in the first month but realistically he would earn around $30 in the first month

Step-by-step explanation:

2000+2000(.015)(1/12)=2002.5

2002.5-2000=2.5

8 0
3 years ago
The scientist performs additional analyses and observes that the number of major earthquakes does appear to be decreasing but wo
kifflom [539]

Answer:

Step-by-step explanation:

Hello!

A regression model was determined in order to predict the number of earthquakes above magnitude 7.0 regarding the year.

^Y= 164.67 - 0.07Xi

Y: earthquake above magnitude 7.0

X: year

The researcher wants to test the claim that the regression is statistically significant, i.e. if the year is a good predictor of the number of earthquakes with magnitude above 7.0 If he is correct, you'd expect the slope to be different from zero: β ≠ 0, if the claim is not correct, then the slope will be equal to zero: β = 0

The hypotheses are:

H₀: β = 0

H₁: β ≠ 0

α: 0.05

The statistic for this test is a student's t: t= \frac{b - \beta }{Sb} ~~t_{n-2}

The calculated value is in the regression output t_{H_0}= -3.82

This test is two-tailed, meaning that the rejection region is divided in two and you'll reject the null hypothesis to small values of t or to high values of t, the p-value for this test will also be divided in two.

The p-value is the probability of obtaining a value as extreme as the one calculated under the null hypothesis:

p-value: P(t_{n-2}\leq -3.82) + P(t_{n-2}\geq  3.82)

As you can see to calculate it you need the information of the sample size to determine the degrees of freedom of the distribution.

If you want to use the rejection region approach, the sample size is also needed to determine the critical values.

But since this test is two tailed at α: 0.05 and there was a confidence interval with confidence level 0.95 (which is complementary to the level of significance) you can use it to decide whether to reject the null hypothesis.

Using the CI, the decision rule is as follows:

If the CI includes the "zero", do not reject the null hypothesis.

If the CI doesn't include the "zero", reject the null hypothesis.

The calculated interval for the slope is: [-0.11; -0.04]

As you can see, both limits of the interval are negative and do not include the zero, so the decision is to reject the null hypothesis.

At a 5% significance level, you can conclude that the relationship between the year and the number of earthquakes above magnitude 7.0 is statistically significant.

I hope this helps!

(full output in attachment)

5 0
3 years ago
After the holidays, Christmas decorations are marked down 60%! If Mr. Buchser wanted to buy an inflatable snowman for the front
Dmitry_Shevchenko [17]
$160* 0.6= 96
160-96= $64
The snowman cost $64
3 0
3 years ago
Please help i have such a low GPA and i have to get it up so i can get into high school 100 points
enyata [817]

Answer:

<em>Well, The volume of the sink shaped like a half sphere is [2000/3] π in^2.</em>

<em />

<em>a) The volume of a cylinder is the area of the base * height</em>

<em />

<em>For this part the cup has a diameter, d, of 4 in and height, h, of 8 in.</em>

<em />

<em>The area of the base is π (d/2)^2 = π (2 in)^2  =  4π in^2.</em>

<em />

<em>The volume of the cuo is 4π in^2 * 8 in = 32π in^3.</em>

<em />

<em>Then the number of cups to take the volume of [2000 / 3] π in^2 is:</em>

<em />

<em>[2000 / 3]π / [32π] = 20.83</em>

<em />

<em>Answer: 21 cups.</em>

<em />

<em>b) For this part the diameter of the cup is 8 in and the height is 8 in</em>

<em />

<em>Then the volume is π (4 in)^2 * 8 in = 128 ⇅ in^3</em>

<em />

<em>And the number of cups needed is [2000π/3] / (128π) = 5.2 </em>

<em />

<em>Answer: 5 cups. </em><em>Good Luck!</em>

<em>From ~Itsbrazts~.</em>

<em />

8 0
3 years ago
Read 2 more answers
The vector ~v represents the displacement vector from Portland, Oregon to Houston, Texas. The vector w~ represents the displacem
Art [367]

Answer:

a

the displacement of the plane is  - \= w

b

The displacement of plane  from Portland to Akron with layover at Houston is  

       \= v  + \= w

c

  the vector which defines this displacement is  \= v + \= w  =- 2500 \ km

Step-by-step explanation:

From the question we are the

   The displacement from Portland, Oregon to Houston, Texas. is  \= v

    The displacement  from Houston, Texas to Akron, Ohio.  is \= wa

a

   The motion of the plane in question a is in the opposite direction to vector \= w

So the displacement of the plane is  - \= w

b

The motion of Portland to Houston to Akron is in the direction of both vector \= v and  \= w  so

The displacement of plane  from Portland to Akron with layover at Houston is  

       d =  \= v  + \= w

c

From the question we are told that the plane flies over Portland to get to  Anchorage, Alaska which implies that it is moving in opposite direction to the vector \= v

   Give that distance from Portland to Houston is  \= v  = 3000 km

           and the distance from Portland to  Anchorage is \= w = - 5500km

Then the vector which defines this displacement is mathematically represented as

   \= v + \= w  = 3000  -5500

    \= v + \= w  =- 2500 \ km

       

4 0
3 years ago
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