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Mars2501 [29]
3 years ago
12

What is the sum of the three number below ? -16+(-23)+7=

Mathematics
1 answer:
arsen [322]3 years ago
4 0

Answer:

-32

Step-by-step explanation:

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F(x) = -3/4 x + 8<br> I need help with this
mrs_skeptik [129]
Umm maybe try:

f^-1 (x) = -4x/3 + 32/3

let me know if that’s right
3 0
2 years ago
I would really appreciate it if you could help me please
Zinaida [17]

Answer:

Yes, triangle GYK is similar to triangle BAK.

Step-by-step explanation:

The sides of each triangle are proportional to each other.

Take the longest side of each triangle. You are comparing line AK with line KY.

The proportion is 15/25.

Now, take the shortest side of each triangle. You are comparing line KB with GK.

The proportion is 6/10.

To determine if the triangles are proportional, we can see if the two proportions are equal to each other:

15/20=6/10

3/5=6/10

Correct! 3/5 equals to 6/10. Therefore, the two triangles are similar because their sides are proportional.

Hope this helps :)

4 0
3 years ago
Read 2 more answers
In microbiology, colony-forming units (CFUs) are used to measure the number of microorganisms present in a sample. To determine
zimovet [89]

Answer:

(a)  0.2650

(b)  0.0111

(c)  0.0105

(d)  0.0006

Step-by-step explanation:

Given that:

In microbiology, colony-forming units (CFUs) are used to measure the number of microorganisms present in a sample.

Suppose that the number of CFUs that appear after incubation follows a Poisson distribution with mean μ = 15.       &;

If the area of the agar plate is 75cm²;

what is the probability  of observing fewer than 4 CFUs in a 25 cm² area of the plate.

We can determine the mean number of CFUs that appear on a 25cm² area of the plate as follows;

75cm²/25cm² = 3

Since;

mean  μ = 15  

mean number of CFUs that appear on a 25cm² = 15/3 = 5 CFUs

Thus ; the probability of observing fewer than 4 CFUs in a 25 cm² area of the plate is estimated as:

= P(X < 4)

Using the EXCEL FUNCTION ( = poisson.dist(3, 5, TRUE) )

we have ;

P(X < 4) = 0.2650

b) If you were to count the total number of CFUs in 5 plates, what is the probability you would observe more than 95 CFUs?

Given that the total number of CFUs = 5 plates; then the mean number of CFUs in 5 plates =  15×5 = 75 CFUs

The probability is therefore = P( X > 95 )

= 1 - P(X ≤ 95)

= 1 - poisson.dist(95,75,TRUE) ( by using the excel function)

= 0.0111

c) Repeat the probability calculation in part (b) but now use the normal approximation.

Let assume that the mean and the variance of the poisson distribution are equal

Then;

X \sim N (\mu = 75 , \sigma^2 = 75)

We are to repeated the probability calculation in part (b) from above;

So:

P( X > 95 )

use the normal approximation

From standard normal variable table:

P(Z > 2.3094)

Using normal table

P(Z > 2.3094) = 0.0105

(d)  Find the difference between this value and your answer in part (b).

So;

the difference between the value in part c and part b is;

=  0.0111 - 0.0105

= 6*10^{-4}

= 0.0006 to four decimal places

5 0
3 years ago
Carter plans to read 4 books during summer break: Charlottes web, Grasshopper summer, Diary of a Wimpy Kid, and Diary of a Wimpy
Dmitrij [34]

Answer: 32

Step-by-step explanation:

4 x 4 x 4

7 0
3 years ago
Read 2 more answers
What is one-quarter of one-twelfth?
olga2289 [7]
Is means equal in mathematics
of means multiplication
and if we are solving for x then we can translate your equation to:

\sf{x=\frac{1}{4}\times\frac{1}{12}}

Simplifying that more, we get:

\sf{x=\frac{1}{48}}

And your final answer is:

\huge{\boxed{\bf{\frac{1}{48}~is~\frac{1}{4}~of~\frac{1}{12}}}}
3 0
3 years ago
Read 2 more answers
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