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notka56 [123]
3 years ago
12

Two objects are moving along separate linear paths where each path is described by position, d, and time, t. The variable d is m

easured in meters, and the variable t is measured in seconds. The equation describing the graph of the position of the first object with respect to time is d = 2.5t + 2.2. The graph of the position of the second object is a parallel line passing through (t = 0, d = 1). What is the equation of the second graph?
d = 2.5t + 1

d = t + 2.5

d = -0.4t + 1

d = 2.5t + 3.2
Mathematics
1 answer:
Marina86 [1]3 years ago
5 0
The second graph has the same slope of the first (because they are parallel), which is 2.5 and d-intercept of 1.

Then the second equation is d = 2.5t + 1.

 
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A 90˚ angle
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3 years ago
The owners added a second floor to the house. The second floor is 50 feet long and 30 feet wide with ceilings that are 9 feet ta
Brrunno [24]

Answer:

43100

Step-by-step explanation:

A rectangular one-story house covers an area of 3,700 square feet. The ceilings are 8 feet high. The owners add a second floor to the house. The second floor is 50 feet long and 30 feet wide with ceilings that are 9 feet high. What is the total volume of the interior of the house?

Volume = length x width x height

or volume =  area x height

Volume of the one- storey  = 3700 x 8 = 29600 square feet

Volume of the second floor = 50 x 30 x 9 = 13500 square feet

volume of interior = 29600 + 13500 = 43100 square feet

7 0
3 years ago
Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phon
leva [86]

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = <u><em>proportion of households that have three cell phones NOT known.</em></u>

So, Null Hypothesis, H_0 : p = 30%      {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, H_A : p \neq 30%     {means that the actual percentage of households different from 30%}

The test statistics that would be used here <u>One-sample z-test for proportions;</u>

                                T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of households having three cell phones = \frac{43}{150} = 0.29

           n = sample of households = 150

So, <u><em>the test statistics</em></u>  =  \frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }  

                                     =  -0.27

The value of z test statistic is -0.27.

<u>Also, P-value of the test statistics is given by;</u>

              P-value = P(Z < -0.27) = 1 - P(Z \leq 0.27)

                            = 1 - 0.6064 = <u>0.3936</u>

<u>Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <em><u>we fail to reject our null hypothesis</u></em>.

Therefore, we conclude that the actual percentage of households is equal to 30%.

4 0
3 years ago
There is a new student in class and you have been asked to teach them everything you know about coordinate planes. **Write at le
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Step-by-step explanation:

The coordinate plane is a two-dimension surface formed by two number lines. One number line is horizontal and is called the x-axis. The other number line is vertical number line and is called the y-axis. The two axes meet at a point called the origin. We can use the coordinate plane to graph points, lines

4 0
2 years ago
michael rented a truck for one day. there was a base fee of $20.95 , and there was an additional charge of 93 cents for each mil
jonny [76]
Let x = number of miles, cost per mile = 93 cents = $0.93 

Cost = 20.95 + 0.93*x 

200.44 = 20.95 + 0.93x

0.93x + 20.95 = 200.44

0.93x = 200.44 - 20.95

0.93x = 179.49

x = 179.49/0.93

x = 193

He drove 193 miles.  
6 0
3 years ago
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