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zavuch27 [327]
2 years ago
6

On a winter’s day, 9 degrees Fahrenheit is the highest temperature recorded. Write an inequality that represents the temperature

t in degrees Fahrenheit at any time on this day.
Mathematics
2 answers:
NemiM [27]2 years ago
5 0

Answer: The inequality that represents the temperature t in degrees Fahrenheit at any time on this day is t\leq 9 degree Fahrenheit.

Explanation:

It is given that on a winter’s day, 9 degrees Fahrenheit is the highest temperature recorded. It means the temperature on this day must be less than or equal to 9 degree Fahrenheit.

Let t represents the temperature in degrees Fahrenheit at any time on this day. Then,

t\leq 9

Therefore, the inequality that represents the temperature t in degrees Fahrenheit at any time on this day is t\leq 9 degree Fahrenheit.

pav-90 [236]2 years ago
4 0

Answer:

t\leq 9^{0}F

Step-by-step explanation:

We have been given that highest temperature recorded on a winter’s day is 9 degrees Fahrenheit and we are asked to write an inequality that represents the temperature t in degrees Fahrenheit at any time on this day.

Since we know that highest temperature can't exceed 9 degrees Fahrenheit on the given day and it will be less than or equal to 9.

Therefore, our inequality will be,t\leq 9^{0}F

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Answer:

The probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

Step-by-step explanation:

Mean of Sat =\mu = 500

Standard deviation = \sigma = 100

We will use z score over here

 What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be

(a) more than 675?

P(X>675)

Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}

Z=1.75

P(X>675)=1-P(X<675)=1-0.9599=0.0401

b)between 450 and 675?

P(450<X<675)

At x = 675

Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}

Z=1.75

At x = 450

Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}

Z=-0.5

P(450<X<675)=0.9599-0.3085=0.6514

Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

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