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frozen [14]
3 years ago
13

Please help with this question

Mathematics
1 answer:
Aliun [14]3 years ago
5 0

Answer: 42/11 = 21/5.5

Step-by-step explanation:

1) Since the hypotenuse is 42 for one of the triangles it must be similar to the other triangles hypotenuse, 11.

2) Therefore, the ratio is 42/11.

3)The adjacent sides to the right angle are 21 and 5.5.

4)Therefore, the ratio is 21/5.5

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The revenue​ (in millions of​ dollars) from the sale of x units at a home supply outlet is given by ​R(x)equals=0.210.21x. The p
Natalka [10]

Answer: a) c(x) = 0.124x + 1.1, b) 13 units

Step-by-step explanation: Revenue function = R(x) = 0.21x

Profit function = p(x) = 0.086 - 1.1

Cost function = c(x) =?

A)

Recall that profit = total revenue - total cost

Hence, total cost = total revenue - profit

c(x) = 0.21x - (0.086x - 1.1)

c(x) = 0.21x - 0.086x + 1.1

c(x) = 0.124x + 1.1

B)

Break even point is the point where total revenue equals total cost

R(x) = c(x)

0.21x = 0.124x + 1.1

0.21x - 0.124x = 1.1

0.086x = 1.1

x = 1.1/0.086

x = 12.79 which is approximately 13 units

4 0
3 years ago
Use the standard norml distribution or the t-distribution to construct a 99% confidence interval for the population mean. Justif
dalvyx [7]

Answer:

E) we will use t- distribution because is un-known,n<30

the confidence interval is (0.0338,0.0392)

Step-by-step explanation:

<u>Step:-1</u>

Given sample size is n = 23<30 mortgage institutions

The mean interest rate 'x' = 0.0365

The standard deviation 'S' = 0.0046

the degree of freedom = n-1 = 23-1=22

99% of confidence intervals t_{0.01} =2.82  (from tabulated value).

The mean value = 0.0365

x±t_{0.01} \frac{S}{\sqrt{n-1} }

0.0365±2.82 \frac{0.0046}{\sqrt{23-1} }

0.0365±2.82 \frac{0.0046}{\sqrt{22} }

0.0365±2.82 \frac{0.0046}{4.690 }

using calculator

0.0365±0.00276

Confidence interval is

(0.0365-0.00276,0.0365+0.00276)

(0.0338,0.0392)

the mean value is lies between in this confidence interval

(0.0338,0.0392).

<u>Answer:-</u>

<u>using t- distribution because is unknown,n<30,and the interest rates are not normally distributed.</u>

4 0
3 years ago
The GPA you earn in a particular semester is your​ ________ GPA, and your cumulative GPA for all completed semesters is your​ __
Mariulka [41]

Answer:

The GPA you earn in a particular semester is your Marginal GPA, and your cumalative GPA for all completed semesters is your average GPA.

Step-by-step explanation:

8 0
3 years ago
5 times the sum of a number and 4 equals 9
goblinko [34]

Answer:

-2.2

Step-by-step explanation:

By using the equation 5*(4+x)=9, when you isolate x you get -2.2.

5 0
3 years ago
I need an equation for this problem: A small golf club manufacturer is concerned about their monthly costs. The shop has fixed c
Eduardwww [97]
100 = number of sets of clubs manufactured per month
S = sell-price for a set of clubs

Expenses per month = 23,250 + 145(100)  = 37,750

Revenue per month = 100 S

Break-even when Expenses = Revenue

<u>100 S = 37,750</u>

One question:  How did you solve it without an equation ?
6 0
3 years ago
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