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3 years ago

8

the temperature started at -65 degrees. It decreases at a constant rate of 45 degrees every hour. What is the slope m for the si

tuation?

1 answer:

malfutka [58]3 years ago

6 0

Y=-45x-65 The slope is -45

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An unproven statement that is based on observations.

vazorg [7]

Answer:

Hypothesis

Step-by-step explanation:

When people make researches, they make a statement and then go further to either price that statement wrong or right.

Once the statement is proven right, either by virtue of field work or laboratory work, it becomes a theory.

That unproven statement that can either be true or wrong, but baseless because it is yet to be proven is called HYPOTHESIS

7 0

3 years ago

Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semest

strojnjashka [21]

Answer:0.9991

Step-by-step explanation:

The Poisson distribution probability formula is given by :-

$P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$ , where \lambda is the mean of the distribution and x is the number of success

Given : $\lambda=7$

The probability that more than 1 student will have his automobile stolen during the current semester is given by :-

$P(x\geq1)=1-P(x=0)=1-(\dfrac{e^{-7}7^0}{0!})\\\\=1-e^{-7}=0.99908811\approx0.9991$

Hence, the probability that more than 1 student will have his automobile stolen during the current semester =0.9991

3 0

3 years ago

According to data from the state blood program, 40 percent of all individuals have group A blood. If six individuals give blood,

Serjik [45]

Answer: 0.27648

Step-by-step explanation:

Given : The proportion of all individuals have group A blood : p=0.040

Total individuals give blood : n= 6

Let X be the number of individuals have group A blood.

Since all individual are independent of each other.

$X\sim Bin(n=6, p=0.40)$

Formula : $P(X=x)=^nC_xp^x(1-p)^{n-x}$ , where n= sample size , p = probability of getting success in each trial.

The probability that exactly three of the individuals have group A blood. :

$P(x=3)= ^6C_3(0.40)^3(1-0.4)^3\\\\= \dfrac{6!}{3!3!}\times(0.40)^3(0.60)^3\\\\=0.27648$

The probability that exactly three of the individuals have group A blood. is 0.27648

8 0

3 years ago

A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins.

Taya2010 [7]

QuestionAnswerA factory uses 1/4 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 3/4 of a barrel of raisins. How many batches of granola bars did the factory make yesterday?3A water bottle holds 5/6 of a gallon of water. There are 5 5/6 gallons of water in a water tank. How many water bottles can be filled with the water in the tank?7Molly ran 2 laps around the track. If the total distance Molly ran was 3 3/4 miles, how long is each lap around the track?Every day, the Knox Pet Store uses 2 5/6 bags of dog food to feed the dogs. For how many days will 5 2/3 bags of dog food last?Sam grew tomatoes this summer and used them to make 1/2 of a gallon of tomato sauce. He split it into 5 equal portions to freeze for using later. How many gallons was each portion?1/10Kimberly made 2 1/2 quarts of hot chocolate. Each mug holds 1/2 of a quart. How many mugs will Kimberly be able to fill?5Rosa made fancy orange costume decorations for each of the 5 dancers in her year-end dance performance. She cut 5/6 of a yard of ribbon into equal pieces to make the decorations. How long was each piece of ribbon?1/6A factory uses 1/2 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1 1/2 barrels of raisins. How many batches of granola bars did the factory make yesterday?3

4 0

3 years ago

he books in a private library are classified as fiction and nonfiction. There are 400 books in the library. There are 40 more fi

vfiekz [6]

First, you have to set a system of equations to determine the number of fiction and of nonfiction books.Call f the number of fiction books and n the number of nonfiction books. Then 400 = f + n. And f = n + 40 => n = f - 40 => 400 = f + f - 40 => 400 - 40 = 2f => f = 360 / 2 = 180. Now to find the probability of picking two fiction books, take into account the the Audrey will pick from 180 fiction books out of 400, and Ryan will pick from 179 fiction books out of 399, so the probability will be<span> (180/ 400) * (179/399) = 0.20 (rounded to two decimals). Answer: 0.20</span>

3 0

3 years ago