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2 years ago

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Assuming cos t = .45 and cos w = .89, both t and w are positive, and both t and w determine a terminal point in quadrant 4, then

which of the following statements best describes the relationship between t and w?
A. t > w
B. w > t
C. It is not possible to tell from the given information.

2 answers:

FromTheMoon [43]2 years ago

6 0

Assuming both angles indicate a point on the unit circle in quadrant 1, which is described in polar coordinates as having a range of 0 to pi/2 or 0 to 90 degrees, the cosine of a value decreases as angle increases. Naturally, since cos t = 0.45 and cos w = 0.89, cos t < cos w, therefore t > w.

Alex_Xolod [135]2 years ago

6 0

Answer:

W>2

Step-by-step explanation:

cos-1 0.45 = 63.3°

cos-1 0.89 = 27.1°

The angle for which t is a reference is 296.7°.

The angle for which w is a reference is 332.9°.

w > t

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A high school basketball player attempted 35 free throws in a season. An analyst determined that the player successfully made 4

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2 years ago

A high percentage of people who fracture or dislocate a bone see a doctor for that condition. Suppose the percentage is 99%. Con

marishachu [46]

Answer:

(i) 0.15708

(ii) 0.432488

(iii) 3

Step-by-step explanation:

Given that, 99% of people who fracture or dislocate a bone see a doctor for that condition.

There is only two chance either the person having fracture or dislocation of bone will either see the doctor or not.

As per previous data, if one person got a fracture or dislocation of bone, the chance of seeing the doctor is 0.99. Assuming this chance is the same for every individual, so the total number of people having fractured or dislocated a bone can be considered as Bernoulli's population.

Let p be the probability of success represented by the chances of not seeing a doctor by any one individual having fractured or dislocated a bone.

So, p=1-0.99=0.01

According to Bernoulli's theorem, the probability of exactly r success among the total of n randomly selected from Bernoulli's population is

$P(r)=\binom{n}{r}p^r(1-p)^{n-r}\cdots(i)$

(i) The total number of persons randomly selected, n=400.

The probability that exactly 5 of them did not see a doctor

So, r=5 , p=0.01

Using equation (i),

$P(r=5)=\binom{400}{5}(0.01)^5(1-0.01)^{400-5}$

$=\frac{400!}{(400-5)!\times 5!}(0.01)^5(0.99)^{395}$

=0.15708

(ii) The probability that fewer than four of them did not see a doctor

$=P(r$

$=P(r=0)+P(r=1)+P(r=2)+P(r=3)$

$=\binom{400}{0}(0.01)^0(0.99)^{400}+\binom{400}{1}(0.01)^1(0.99)^{399}+\binom{400}{2}(0.01)^2(0.99)^{398}+\binom{400}{3}(0.01)^3(0.99)^{397}$

$=0.017951+0.072527+0.146154+0.195856$

$=0.432488$

(iii) The expected number of people who would not see a doctor

$=np$

$=300\times 0.01$

=3

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2 years ago

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s.

vampirchik [111]

<span>The <u>correct answer</u> is:

This is the average number of days the house stayed on the market before being sold for $150,000.

Explanation<span>:

f(p) is defined as the average number of days a house stays on the market before being sold for price p (given in $1000).

We want f(150); this means p=150. Since p is in thousands of dollars, this means the price of the house was $150,000.

This means f(150) is the average number of days the house stayed on the market before being sold for $150,000.</span></span>

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natulia [17]

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SVETLANKA909090 [29]

Answer:

Third option: $x=\frac{5}{2}$

Step-by-step explanation:

<h3> The correct exercise is attached.</h3>

The equation given is:

$9^{x-1}-2=25$

The steps to find the value of "x" are shown below:

1. Add 2 to both sides of the equation:

$9^{x-1}-2+2=25+2\\\\9^{x-1}=27$

2. Descompose 9 and 27 into their prime factors:

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3. Substitute them into the equation:

$3^{2(x-1)}=3^3$

4. Knowing that If $a^n=b^m$ , then $n=m$ , we get:

$2(x-1)=3$

5. Apply Distributive property:

$2x-2=3$

6. Add 2 to both sides:

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7. Divide both sides of the equation by 2:

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