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2 years ago

A letter from the word probability is chosen at random. find each probability

1 answer:

7 0

1/11 is the probability

Explanation: Their are 11 letters in the word probability and your choosing one letter out of the eleven other letters.

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$2.25

DiKsa [7]

2.50 that is the answer

8 0

2 years ago

The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is

antoniya [11.8K]

Answer:

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

$N(T(t)) = 22 * (8t + 1.7)^2 - 123 * (8t + 1.7) + 40$

$N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40$

$N(T(t)) = 1408t^2 + 598.4t + 63.58 - 984t - 169.1$

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

$8019 = 1408t^2 - 385.6t - 105.52$

$1408t^2 - 385.6t - 8124.52 = 0$

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0

3 years ago

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.

Anton [14]

Answer:

The equation of line with given points and perpendicular to y-axis is

y = - 7

Step-by-step explanation:

Given as :

The given points as ( - 10 , - 7)

The equation of line is Y = mX + c

So The line will satisfy given points

Or, - 7 = m ( -10 ) + c

Now This line is perpendicular to y- axis

∴ The slop of line perpendicular to y axis is 0

So, - 7= 0 + c

or, c = - 7

∴ Equation of line is y = 0 + c

Or, y = - 7

Hence The equation of line with given points and perpendicular to y-axis is y = - 7 Answer

8 0

2 years ago

Find a rational number that that is between 9.5 and 9.7 explain why it is a rational?

lisabon 2012 [21]

Answer: 9.6

Step-by-step explanation: A rational number can be written as a ratio of two integers (9.6 can write as 96/10)

3 0

2 years ago

Read 2 more answers

The weight of strawberries follows a normal distribution with a mean weight of 12 grams and a standard deviation of 2.5 grams. I

Viefleur [7K]

This is a problem of Standard Normal distribution.

We have mean= 12 grams
Standard Deviation = 2.5 grams

First we convert 8.5 to z score. 8.5 converted to z score for given mean and standard deviation will be:

$z= \frac{8.5-12}{2.5} =-1.4$

So, from standard normal table we need to find the probability of z score to be less than -1.4. The probability comes out to be 0.0808

Thus, the <span>probability that the strawberry weighs less than 8.5 grams is 0.0808</span>

6 0

2 years ago