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a_sh-v [17]
2 years ago
6

Car rentals involve a $130 flat fee and an additional cost of $31.67 a day. what is the maximum number of days you can rent a ca

r if you have a $500 budget?
Mathematics
2 answers:
Vladimir79 [104]2 years ago
6 0
Represent the number of days by x. With this representation, the variable cost of the rental is 31.67x. The total cost is the sum of the fixed and variable costs. This value should not be more than $500. The equation below shows the relationship.
                                          130 + 31.67x ≤ 500

Solving for x gives x ≤ 11.68
Thus, the maximum number of days to rent the car is only 11 days. 
aliya0001 [1]2 years ago
5 0

Answer:

11=c

Step-by-step explanation:

500=130+31.67c

500-130=31.67c

370/31.67=31.67c/31.67

11=c

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what power can you write to represent the volume of the cube shown? write the power as an expression with a base and an exponent
sergiy2304 [10]

Answer:

The power for the volume of the cube is '3'.

Exponent form of the volume is (\frac{1}{3})^3

Volume of the cube is \frac{1}{27} inch³.

Step-by-step explanation:

We are given,

A cube with side equal to \frac{1}{3} inches.

As we know,

Volume of a cube = side^{3}

Thus, we get,

Volume of the given cube is,

Volume = (\frac{1}{3})^3

i.e. Volume = \frac{1}{27} inch³

Thus, we have,

The power for the volume of the cube is '3'.

Exponent form of the volume is (\frac{1}{3})^3

Volume of the cube is \frac{1}{27} inch³.

4 0
2 years ago
Read 2 more answers
A. A line through P parallel to line L
m_a_m_a [10]

Answer:

b.a line through p intersecting line l

5 0
3 years ago
Read 2 more answers
Start a carpentry business next year making picnic tables by buying tools asssmbling material ms and telling friends about the b
zhannawk [14.2K]
B measurable outcome
6 0
3 years ago
Do political science classes require less writing than history classes? The 55 randomly selected political science classes assig
tia_tia [17]

Answer:

No, political science classes does not require less writing than history classes.

Step-by-step explanation:

We are given that the 55 randomly selected political science classes assigned an average of 19.6 pages of essay writing for the course. The standard deviation for these 55 classes was 4.8 pages.

The 50 randomly selected history classes assigned an average of 20.2 pages of essay writing for the course. The standard deviation for these 50 classes was 3.3 pages.

<em>Let </em>\mu_1<em> = mean writing required by political science classes</em>

<em />\mu_2<em> = mean writing required by history classes</em>

SO, Null Hypothesis, H_0 : \mu_1-\mu_2\geq0  or  \mu_1\geq \mu_2    {means that political science classes require more or equal writing than history classes}

Alternate Hypothesis, H_A : \mu_1-\mu_2  or  \mu_1   {means that political science classes require less writing than history classes}

The test statistics that will be used here is <u>Two-sample t test statistics</u> as we don't know about the population standard deviations;

                     T.S.  = \frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2}  } }  ~ t__n__1+_n__2-2

where, \bar X_1 = sample average writing for political science course= 19.6 pages

\bar X_2 = sample average writing for history course= 20.2 pages

s_1 = sample standard deviation for political science classes = 4.8 pages

s_2 = sample standard deviation for history classes = 3.3 pages

n_1 = sample of selected political science classes = 55

n_2 = sample of selected history classes = 50

Also, s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2}  }{n_1+n_2-2} }  =  \sqrt{\frac{(55-1)\times 4.8^{2}+(50-1)\times 3.3^{2}  }{55+50-2} }  = 4.154

So, <u><em>the test statistics</em></u>  =  \frac{(19.6-20.2)-(0)}{4.154 \times \sqrt{\frac{1}{55}+\frac{1}{50}  } }  ~  t_1_0_3

                                     =  -0.739

<em>Now at 0.01 significance level, the t table gives critical value of -2.367 at 103 degree of freedom for left-tailed test. Since our test statistics is more than the critical value of t as -0.739 > -2.367, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

Therefore, we conclude that political science classes require more or equal writing than history classes.

8 0
3 years ago
What is the value of x?<br><br><br> Enter your answer in the box
elixir [45]
X=46.2
_____________________________

99.2 + 62 = 161.2
180 -161.2 = 19.8
19.8 + 112 = 131.8
180 - 131.8 = 48.2
48.2 - 2 = 46.2
3 0
3 years ago
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