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3 years ago

Please answer this question!

Mathematics

2 answers:

Archy [21]3 years ago

7 0

Answer:

the answer is 45 . so circle 4

ZanzabumX [31]3 years ago

5 0

Answer:

(4) y = 45

Step-by-step explanation:

$\frac{y}{5} - 2 = 7\\\frac{y}{5} = 7 + 2\\\frac{y}{5} = 9\\y = 9 (5)\\y =45$

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Nichior compared the slope of the function graphed to the slope of the linear function that has an x-intercept of 2/3 and a y-in

marusya05 [52]

Answer:

The slope of f(x) is 1.5

Step-by-step explanation:

step 1

Find the slope of the linear function that has an x-intercept of 2/3 and a y-intercept of -1

we have the points

(2/3,0) and (0,-1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-1-0}{0-2/3}$

$m=\frac{-1}{-2/3}$

$m=\frac{3}{2}=1.5$

step 2

Find the slope of the function graphed

take the points

(0,-1) and (3,6) approximately

substitute in the formula

$m=\frac{6+1}{3-0}$

$m=\frac{7}{3}=2.33$

step 3

we know that

f(x) represents the function with the smaller slope

The smaller slope is 1.5

therefore

The slope of f(x) is 1.5

4 0

3 years ago

A 60 room hotel is filled to capacity every night at a rate of $40 per room. The management wants to determine if a rate increa

Oxana [17]

Answer: to maximize profit the management must continue charging $40 per room because it will obtain a profit of $1,920 better than $1,870 if it rises the rate.

Step-by-step explanation:

Profit without the increase

60 (number of rooms) * $40 (rate per room) = $ 2,400

costs of day to service = 60 (rooms) * $8 (costs day to service)= $480

Total Profit = $2,400 - $480 = $1,920

Profit with the increase

55 (5 fewer than before) * 42 (rate with the increase) = $ 2,310

costs of day service 55 (rooms) * 8 ( costs day to service) = $440

Total Profit = $2,310 -$440 = $1,870

7 0

3 years ago

The thicknesses of 81 randomly selected aluminum sheets were found to have a variance of 3.23. Construct the 98% confidence inte

Yuliya22 [10]

Answer:

The confidence interval for the population variance of the thicknesses of all aluminum sheets in this factory is Lower limit = 2.30, Upper limit = 4.83.

Step-by-step explanation:

The confidence interval for population variance is given as below:

$[(n - 1)\times S^{2} / X^{2} \alpha/2, n-1 ] < \alpha < [(n- 1)\times S^{2} / X^{2} 1- \alpha/2, n- 1 ]$

We are given

Confidence level = 98%

Sample size = n = 81

Degrees of freedom = n – 1 = 80

Sample Variance = S^2 = 3.23

$X^{2}_{[\alpha/2, n - 1]} = 112.3288\\\X^{2} _{1 -\alpha/2,n- 1} = 53.5401$

(By using chi-square table)

[(n – 1)*S^2 / X^2 α/2, n– 1 ] < σ^2 < [(n – 1)*S^2 / X^2 1 -α/2, n– 1 ]

[(81 – 1)* 3.23 / 112.3288] < σ^2 < [(81 – 1)* 3.23/ 53.5401]

2.3004 < σ^2 < 4.8263

Lower limit = 2.30

Upper limit = 4.83.

8 0

2 years ago

A table shaped like a solid cube needs to painted. All six faces of the table must be painted. The edge length of the table is 1

Dvinal [7]

C. 8.64m^2 because one face of the cube has a surface area of 1.44m^2 (1.2*1.2) and a cube has 6 sides (6*1.44).

3 0

3 years ago

There are a total of 84 green cars, 35 blue cars, and 42 red cars parked in the parking lot. How many cars are parked in the par

Cloud [144]

Ok so you just have to add all of the quantities together so 84+35=119 and then 119+42=161 so there are 161 cars in the parking lot. Hope this helps

8 0

3 years ago

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