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podryga [215]
3 years ago
8

Use calculator to decide whether each statement is true or false. It may be that a true statement will lead to results that diff

er in the last decimal place due to rounding error.
tan² 72° 25' + 1 = sec² 72° 25'
Mathematics
1 answer:
Bogdan [553]3 years ago
4 0

Answer: 72.416

Step-by-step explanation:

You might be interested in
A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the stu
Nitella [24]

Answer: 0.9730

Step-by-step explanation:

Let A be the event of the answer being correct and B be the event of the knew the answer.

Given: P(A)=0.9

P(A^c)=0.1

P(B|A^{C})=0.25

If it is given that the answer is correct , then the probability that he guess the answer P(B|A)= 1

By Bayes theorem , we have

P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(C|A^c)P(A^c)}

=\dfrac{(1)(0.9)}{(1))(0.9)+(0.25)(0.1)}\\\\=0.972972972973\approx0.9730

Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.

7 0
3 years ago
Marlena has a bag of coins the bag contains 8 quarters 10 times 4 nickels + 2 pennies she would randomly select a coin from the
melisa1 [442]

Answer:

C) 1/6

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

We have 8 + 10 + 4 + 2 = 24 coins

Of those, 4 are nickels. So

p = \frac{4}{24} = \frac{1}{6}

The correct option is given by option C.

3 0
3 years ago
The formula f= 1.8 + 32 is used to convert temputure from degrees celsius ºC to degrees
Svetach [21]

Answer:

The Formula F=1.8C+32 gives the temperature in degrees Celsius (C). There is one temperature for which a number of degrees Fahrenheit is equal to the number of degrees Celsius.

Step-by-step explanation:

20ºC = 68ºF i think this is equation.;-;

3 0
2 years ago
Which properties are necessary to claim that the two prisms are congruent? Check all that apply.
pav-90 [236]

Answer:

1. The volumes are equal.

2. The base areas are equal.

3. The prisms have the same height.

Step-by-step explanation:

I don't see no answered to check all that apply but here is the answers about properties and two prisms

7 0
2 years ago
A picture frame has a perimeter of 100 cm. Its width is 4 cm less than twice its length. What is the width of the picture frame?
balu736 [363]
2l + 2w = 100
l + w = 50 . . . (1)
w = 2l - 4 . . . (2)
l + 2l - 4 = 50
3l - 4 = 50
3l = 50 + 4 = 54
l = 54/3 = 18
w = 2(18) - 4 = 36 - 4 = 32

Therefore, the width of the picture frame is 32 cm.
3 0
3 years ago
Read 2 more answers
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