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Vsevolod [243]
3 years ago
13

Give each trig as a fraction in simplest form

Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0
Let's first find the missing side length. 
a^2+b^2=c^2
14^2+b^2=50^2
196+b^2=2500
-196         -196
         b^2=2304
square root of 2304 = b
b=48
48=PQ

S=O/H C=A/H T=O/A

Sin Q = 7/25
Cos Q= 24/25
Tan Q = 7/24
Sin R= 24/25
Cos R= 7/25
Tan R= 3 3/7
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8.The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb. The
Sladkaya [172]

Answer:

The value is c = 21.1445.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb.

This means that \mu = 12, \sigma = 3.5

What value of c is such that 99% of all parcels are at least 1 lb under the surcharge weight?

This 1 added to the value of X for the 99th percentile, which is X when Z has a p-value of 0.99, so X when Z = 2.327.

Z = \frac{X - \mu}{\sigma}

2.327 = \frac{X - 12}{3.5}

X - 12 = 2.327*3.5

X = 20.1445

1 + 20.1445 = 21.1445

The value is c = 21.1445.

7 0
3 years ago
he cost of a​ 16-ounce soda from a vending machine increases from ​$2.25 to ​$2.70. Find the percent increase.
Lilit [14]

Answer:

20% increase

Step-by-step explanation:

Initial price: $2.25

New price: $2.70

Percentage=(new price - initial price)×100/(initial price)

p=(2.70-2.25)×100/2.25=45/2.25=20%

7 0
3 years ago
Three fair standard six-sided dice are rolled. What is the probability that the sum of the three numbers rolled does not exceed
Verdich [7]

Answer:

6/10=3/5

not sure if its correct

Step-by-step explanation:

3 0
3 years ago
How do you find an exponential function given the points are (0,13) and (2,325)
slava [35]

Answer:

y = 13(5)^{x}

Step-by-step explanation:

An exponential function has the form

y = a b^{x}

To find a and b use the given points

Using (0, 13), then

13 = a b^{0} , since b^{0} = 1, then

a = 13, thus

y = 13 b^{x}

using (2, 325) , then

325 = 13 b² ( divide both sides by 13 )

25 = b² ( take the square root of both sides )

5 = b

y = 13 × 5^{x} ← is the exponential function

4 0
3 years ago
Chapter 5 • Measures of Central Tendency | 171
Black_prince [1.1K]

Answer: Rs. 5,033.30

Step-by-step explanation:

Total employees = 15 + 32 + 65 + 79 + 90 + 57 + 36 + 14 = 388

Median position = 388/2 = 194

Median therefore lies in range where cumulative employees is 194:

= 15 + 32 + 65 + 79 = 191

Median therefore lies in range after 4,000 - 4,999 which is 5,000 - 5,999.

Median = Lower limit of median range + range of median range * (median position - cumulative frequency up to median range) / frequency of median range

= 5,000 + 999 * (388/2 - 191)/90

= 5,000 + 33.3

= Rs. 5,033.30

8 0
3 years ago
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