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vichka [17]
3 years ago
7

Using trig solve for the missing angle

Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0

Answer:

The answer is 26.4

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3. Problem 2: Suppose a radio manufacturer has the total cost function C (x) = 43x + $ 1850 and the revenue function R (x) = $ 8
OLEGan [10]

Given that,

Total cost function, C (x) = 43x + $1850

The revenue function R (x) = $80x

To find,

The number of units that must be produced and sold to break even.

Solution,

At break even, cost = revenue

43x + $1850 = $80x

Subtract 80x from both sides.

43x + 1850 -80x = $80x -80x

1850 = 80x-43x

37x = 1850

x = 50

So, the required number of units are 50.

8 0
3 years ago
Max can travel 100 miles in 2 hours. At this rate, how many hours will it take him to travel 650 miles?
Tamiku [17]
100miles in 2hrs
650miles in x hrs

If you think of it 650/100 = 6.5

So the distance is 6.5 times

So the time is 6.5 times 2hrs

=13 hrs total
3 0
3 years ago
Suppose that you are in charge of evaluating teacher performance at a large elementary school. One tool you have for this evalua
Strike441 [17]

Answer:

a) Standard error = 2

b) Range = (76.08, 83.92)

c) P=0.69

d) Smaller

e) Greater

Step-by-step explanation:

a) When we have a sample taken out of the population, the standard error of the mean is calculated as:

\sigma_m=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{25}}=\dfrac{10}{5}=2

where n is te sample size (n=25) and σ is the population standard deviation (σ=10).

Then, the standard error of the classroom average score is 2.

b) The calculations for this range are the same that for the confidence interval, with the difference that we know the population mean.

The population standard deviation is know and is σ=10.

The population mean is M=80.

The sample size is N=25.

The standard error of the mean is σM=2.

The z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=1.96 \cdot 2=3.92

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 80-3.92=76.08\\\\UL=M+t \cdot s_M = 80+3.92=83.92

The range that we expect the average classroom test score to fall 95% of the time is (76.08, 83.92).

c) We can calculate this by calculating the z-score of X=79.

z=\dfrac{X-\mu}{\sigma}=\dfrac{79-80}{2}=\dfrac{-1}{2}=-0.5

Then, the probability of getting a average score of 79 or higher is:

P(X>79)=P(z>-0.5)=0.69146

The approximate probability that a classroom will have an average test score of 79 or higher is 0.69.

d) If the sample is smaller, the standard error is bigger (as the square root of the sample size is in the denominator), so the spread of the probability distribution is more. This results then in a smaller probability for any range.

e) If the population standard deviation is smaller, the standard error for the sample (the classroom) become smaller too. This means that the values are more concentrated around the mean (less spread). This results in a higher probability for every range that include the mean.

6 0
3 years ago
Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow. The two triangles formed are similar
matrenka [14]

Answer:

The height of the tree is  

18.67

feet

Step-by-step explanation:

Explanation:

The pole and the tree both cast shadows. The triangles which form are similar triangles, because the sun is shining from the same angle in the sky.

You can write this as a direct proportion. (height : shadow)

2 is to 1.5 as what is to 14?

2

1.5

=

x

14

     

←

cross multiply

x

=

2

×

14

1.5

x

=

18.67

feet

7 0
2 years ago
Pamela is 7 years younger than Jiri. The sum of their ages is 39. What is Jiri ‘s age?
astraxan [27]

Based on the task given, Pamela's age and juri's age is 16 and 23 years respectively.

<h3>Equation</h3>

  • Juri's age = x
  • Pamela's age = x - 7
  • Their total age = 39

x + (x - 7) = 39

x + x - 7 = 39

2x = 39 + 7

2x = 46

x = 46/2

x = 23

Therefore,

Juri's age = x

= 23 years

Pamela's age = x - 7

23 - 7

= 16 years

Learn more about equation:

brainly.com/question/2972832

#SPJ1

8 0
2 years ago
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