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sveta [45]
3 years ago
11

The opening in a rectangular door frame measures 9 feet by 3 feet. Each of the four doors described in the table measures 9

Mathematics
2 answers:
jeka943 years ago
8 0

Answer:

Door 2

Step-by-step explanation:

Nataliya [291]3 years ago
7 0

Answer:

  Door 3  diagonal 3√10 feet

Step-by-step explanation:

The diagonal of a rectangle is the hypotenuse of a right triangle whose legs are the side lengths of the rectangle. That is, the diagonal of a 9 ft by 3 ft rectangle will have length ...

  d = √(9² +3²) = √90 = 3√10

Any "9 ft by 3 ft" figure that has a diagonal different from this is not a rectangle. To fit the rectangular opening, we want a rectangular door—one with a diagonal of 3√10 feet.

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A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made.
Snezhnost [94]

Answer:

The minimum unit cost is 5377

Step-by-step explanation:

Note that we have a cudratic function of negative principal coefficient.

The minimum value reached by this function is found in its vertex.

For a quadratic function of the form

ax ^ 2 + bx + c

the x coordinate of the vertex is given by the following expression

x=-\frac{b}{2a}

In this case the function is:

C(x) = x^2 - 400x + 45,377

So:

a=1\\b=-400\\c=45,377

Then the x coordinate of the vertex is:

x=-\frac{-400}{2(1)}

x=200\ cars

So the minimum unit cost is:

C(200) = (200)^2 - 400(200) + 45,377

C(200) = 5377

6 0
3 years ago
Read 2 more answers
For the function f(x)=x+7 what is the ordered pair for the point on the graph when x=2n
beks73 [17]
  f(x) = x + 7
f(2n) = 2n + 7
6 0
3 years ago
Need Help asap Please....
dimulka [17.4K]

Answer:

B

Step-by-step explanation:

There is no change in cost, so the slope stays the same. since the a dependent variable is cost, it stays on the y axis, and the amount of photocopies is on the x axis. The total amount of money for 8 copies is $1.60, so you would just plug those into the graph and find B to be correct.

4 0
4 years ago
Read 2 more answers
A car company claims that its cars achieve an average gas mileage of at least 26 miles per gallon. A random sample of eight cars
motikmotik

Answer:

t=\frac{25.5-26}{\frac{1}{\sqrt{8}}}=-1.414    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value for this case is given by:

p_v =P(t_{(7)}  

Since the p value is higher than the significance level of 0.06 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 25.5 and then the claim makes sense

Step-by-step explanation:

Information given

\bar X=25.5 represent the sample mean

s=1 represent the sample standard deviation

n=8 sample size  

\mu_o =26 represent the value to verify

\alpha=0.06 represent the significance level  

t would represent the statistic (variable of interest)  

p_v represent the p value

Hypothesis to est

We want to test if the true mean is at least 26 mpg, the system of hypothesis would be:  

Null hypothesis:\mu \geq 25.5  

Alternative hypothesis:\mu < 25.5  

The statistic for this case is given by;

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{25.5-26}{\frac{1}{\sqrt{8}}}=-1.414    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value for this case is given by:

p_v =P(t_{(7)}  

Since the p value is higher than the significance level of 0.06 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 25.5 and then the claim makes sense

3 0
4 years ago
3 * (6^12/6^10) Please help me!!
umka2103 [35]

First simplify the expression: 3 x 6^2

3 x 36 = 108

8 0
3 years ago
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