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nadya68 [22]
2 years ago
6

A parking lot has 21 empty space. if the ratio of empty spaces to taken spaces is 7:5 how many dpaces are there total?

Mathematics
1 answer:
Tomtit [17]2 years ago
5 0
\frac{empty}{taken} = \frac{7}{5} = \frac{21}{x} 




x=(5*21)/7=15 taken spaces

total =empty spaces+taken spaces= 21+15=36
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Electricity usage data consists of 45 months has a mean number of units consumed is 390.47 per month with a standard deviation o
neonofarm [45]

Answer:

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 45 - 1 = 44

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0141

The margin of error is:

M = T*s = 2.0141*170.5 = 343.4

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 390.47 - 343.40 = 47.07 units per month

The upper end of the interval is the sample mean added to M. So it is 390.47 + 343.40 = 733.87 units per month

The 95% confidence interval for the average monthly electricity consumed units is between 47.07 and 733.87

6 0
2 years ago
please help 30 points !! in a proportional relationship when Y=2 when X=8 Which of the following equations would describe this r
Alex777 [14]

Answer:

(1)

Step-by-step explanation:

We will try:

(1) y = \frac{1}{4}x => 2 = 2 (seems legit)

(2) y = 4x => 2 = 32 (nope)

(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)

(4) y = \frac{1}{2}x - 2 => 2 = 2 (like the above)

8 0
3 years ago
Look at the coordinate plane below.
dybincka [34]

Answer:

K (-3,-7)    A (-4,1)   O (-5,5)  T (-7,2)    

Step-by-step explanation:

All of these have the x as the lesser value

8 0
2 years ago
Read 2 more answers
Container is shaped like a triangular prism. 3 cm 5 cm
Marianna [84]

ANSWER

A=222\operatorname{cm}

EXPLANATION

A) From the diagram, we see that the base of the triangular face is 4 cm long and the height of the triangular face is 3 cm.

B) From the diagram, we see that the length of two of the rectangular face is 15 cm and the width of the rectangular face is 5 cm.

The third rectangular face has a length of 15 cm and a width of 4 cm.

C) The surface area of the prism is the sum of the areas of the faces of the prism.

The area of a triangle is given as:

A=\frac{1}{2}\cdot b\cdot h

where b = base, h = height

The area of a rectangle is given as:

A=l\cdot w

where l = length, w = width

Therefore, the surface area of the prism is:

\begin{gathered} A=2(\frac{1}{2}\cdot4\cdot3)+2(15\cdot5)+(15\cdot4) \\ A=12+150+60 \\ A=222\operatorname{cm}^2 \end{gathered}

4 0
11 months ago
3. Jada has a coin jar containing n nickels and d dimes worth a total of $3.65. The
Ghella [55]

Answer:

C

Step-by-step explanation:

Here, we want to find an equation in the options which is same as the equation given in the question;

The equation we are testing against is;

0.05n + 0.1d = 3.65

What we can do here is divide through by 0.01

So we will have;

0.05n/0.01 + 0.1d/0.01 = 3.65/0.01

= 5n + 10d = 365

3 0
3 years ago
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