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2 years ago

The formula to convert Celsius to Fahrenheit is f=9/5c+32 convert 62F to Celsius round to the nearest degree.

Mathematics

2 answers:

mixas84 [53]2 years ago

7 0

Answer:

The correct option is B.

Step-by-step explanation:

The formula to convert Celsius to Fahrenheit is

$F=\frac{9}{5}C+32$

Subtract 32 from both the sides.

$F-32=\frac{9}{5}C$

Multiply both sides by $\frac{5}{9}$ .

$\frac{5}{9}(F-32)=C$

The formula to convert Fahrenheit to Celsius is

$C=\frac{5}{9}(F-32)$

Where, F is Fahrenheit.

We have convert 62F to Celsius round to the nearest degree. Put E=62.

$C=\frac{5}{9}(62-32)$

$C=\frac{5}{9}(30)$

$C=16.667$

$C\approx 17$

Therefore the correct option is B.

larisa86 [58]2 years ago

6 0

The Answer is B= 17c

62 = 9/5c + 32

62 - 32 = 30

30 / (9/5) = 17

C = 17

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Find three consecutive integers whose sum is -21. 2. find three consecutive odd integers whose sum is 144. 3. the sum of three c

fenix001 [56]

Easy way
-21÷3=-7 which is the exact center so
-6, -7, -8

Equation
x + (x+1) + (x+2) = -21
3x + 3 = -21
3x=-24
x=-8
x+1=-7
x+2=-6

2. Consecutive Odd Integers
X, X+2, X+4

X + (X+2) + (X+4) = 144
3X+6=144
3X=144-6=138
X = 138/3 = 46 .....There are no 3 odd Integers that can equal an even integer

3. 3 consecutive even number x, x+2, x+4

X + (X+2) + (X+4) = 48
3X+6=48
3X=48-6=42
X=42/3=14
14, 16, 18

7 0

2 years ago

Consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number,

Aleksandr-060686 [28]

Answer:

The expected value of the points earned on a single roll in this game is $\dfrac{1}{6} = 0.1667$ .

Step-by-step explanation:

We are given that consider a game in which players roll a number cube to determine the number of points earned. If a player rolls a prime number, that many points will be added to the player’s total. Any other roll will be deducted from the player’s total.

Assuming that the numbered cube is a dice with numbers (1, 2, 3, 4, 5, and 6).

Here, the prime numbers are = 1, 2, 3 and 5

Numbers which are not prime = 4 and 6

This means that if the dice got the number 1, 2, 3 or 5, then that many points will be added to the player’s total and if the dice got the number 4 or 6, then that many points will get deducted from the player’s total.

Here, we have to make a probability distribution to find the expected value of the points earned on a single roll in this game.

Note that the probability of getting any of the specific number on the dice is $\dfrac{1}{6}$ .

Numbers on the dice (X) P(X)

+1 $\frac{1}{6}$

+2 $\frac{1}{6}$

+3 $\frac{1}{6}$

-4 $\frac{1}{6}$

+5 $\frac{1}{6}$

-6 $\frac{1}{6}$

Here (+) sign represent the addition in the player's total and (-) sign represents the deduction in the player's total.

Now, the expected value of X, E(X) = $\sum X \times P(X)$

= $(+1) \times \frac{1}{6} +(+2) \times \frac{1}{6} +(+3) \times \frac{1}{6} +(-4) \times \frac{1}{6} +(+5) \times \frac{1}{6} +(-6) \times \frac{1}{6}$