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3 years ago

10

Explain the connections and parallels in finding missing side lengths and angle measures in a right triangle using the trigonome

tric functions

1 answer:

quester [9]3 years ago

4 0

This th8 sky and lengths of angle measurez

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The wildlife department has been feeding a special food to rainbow trout fingerlings in a pond. based on a large number of obser

Liono4ka [1.6K]

The normal distribution curve for the problem is shown below

We need to standardise the value X=405.5 by using the formula

$z-score= \frac{X-Mean}{Standard Deviation}$
$z-score= \frac{405.5-402.7}{8.8} =0.32$

We now need to find the probability of z=0.32 by reading the z-table

Note that z-table would give the reading to the left of z-score, so if your aim is to work out the area to the right of a z-score, then you'd need to do:

$P(Z\ \textgreater \ z)=1 - P(Z\ \textless \ z)$

from the z-table, the reading $P(Z\ \textless \ 0.32)$ gives 0.6255

hence,
$P(Z\ \textgreater \ 0.32)=1-0.6255=0.3475$

The probability that the mean weight for a sample of 40 trout exceeds 405.5 gram is 0.3475 = 34.75%

7 0

3 years ago

Charlotte has been saving up to buy a home gym so she can work out at home without having to pay for a

Y_Kistochka [10]

The 15% discount for home gym, and the $889 cost of the Flex 3,000 gives;

1. f(x) = 0.85•x + 139.95

2.

With the deal, Charlotte's before tax cost is $895.6
The deal cost is more than the initial price making the deal not worth it.

3. The domain is; 889 < x < ∞

The range is; 895.6 ≤ f(x) ‹ ∞

<h3>How can the function notation for the cost be found?</h3>

1. The percentage discount Charlotte gets = 15% = 0.15

Cost of the 6 months subscription = $139.95

f(x) = Final before tax

x = Price of the home gym equipment

Therefore;

Given the 15% off, we get;

f(x) = (1-0.15)•x + 139.95

Which gives;

f(x) = 0.85•x + 139.95

2. Question 1

Cost of the Flex3000, <em>x</em> = $889

Therefore;

f(889) = 0.85 × 889 + 139.95 = 895.6

Charlotte's before–tax cost with the deal is therefore, $895.6

Given that the workout channel holds no value to Charlotte, and the deal cost is higher than the initial cost, it isn't worth it for her to pay for the subscription to get the 15% discount

3. The domain if the Awesome Flex is the cheapest option, is the possible initial price of the home gym equipment.

The domain is therefore;

889 < x < ∞

The range is the possible values of the before tax cost.

The range is therefore;

895.6 ≤ f(x) ‹ ∞

Learn more about writing equations here:

brainly.com/question/11331093

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5 0

1 year ago

Seven less than twice a<br> number is negative five.<br> What is the number?

otez555 [7]

Answer:

n = 1

Step-by-step explanation:

Represent the number by n. Then "seven less than twice a number is -5 becomes 2n - 7 = -5

Next we must solve for n. Adding 7 to both sides yields 2n = 2, so that

n = 1

5 0

3 years ago

During the summer you want to read at least 32 books. You have read 21 books so far this summer . What are the possible nurabers

ioda

Answer:

you need to read 11 or more books to pass your goal

Step-by-step explanation:

7 0

3 years ago

The angle by which AB turns clockwise about point B to coincide with BC is ? degrees. If from point B, a point E is drawn direct

dedylja [7]

Answer:

Step-by-step explanation:

We have the statement AB turns clockwise to coincide with BC.

= ABD + DBC

= 33.3° + 30.6°

= 63.9°

Now we have the statement a point E is drawn directly opposite point C. B, E, and C are on the same straight line

EBC is a straight line, so sum of angles =180°

ABE + ABD + DBC = 180°

ABE + 33.3° + 30.6° = 180°

ABE + 63.9° = 180°

ABE = 180 - 63.1

ABE = 116.9° ....

3 0

3 years ago