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lukranit [14]
2 years ago
15

Help pls!!

Mathematics
1 answer:
zhenek [66]2 years ago
4 0

Answer:

B) 5

Step-by-step explanation:

We are given the function:

f(x)=x(x+3)

We are given that f(a) = 40 and <em>a</em> > 0 and we want to determine the value of <em>a</em>.

Substitute:

f(a)=40=a(a+3)

Distribute:

a^2+3a=40

Subtract 40 from both sides:

a^2+3a-40=0

We can factor using 8 and -5. Hence:

(a+8)(a-5)=0

By the Zero Product Property:

a+8=0\text{ or } a-5=0

Solve for each case:

\displaystyle a=-8\text{ or } a=5

Since <em>a</em> > 0, we can eliminate the first solution. Hence:

a=5

Our answer is B.

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marusya05 [52]

Answer:

B) approximately normal with mean 2.3 and standard deviation 2

Step-by-step explanation:

Given the following :

Mean crimes per day = 2.3

Standard deviation = 2

Number of samples = 100

Sampling distribution of the mean:

According to the central limit theorem:

Sample mean = population mean

2.3 = 2.3

The standard deviation of the sample (s) : ratio of the population standard deviation and square root of the sample size.

s = population standard deviation / √sample size

s = 2 / √100

s = 2 / 10

s = 0.2

The central limit theorem also posits that once ths sample size is large enough, the sampling of the sample mean will be approximately normal.

Hence, the distribution is approximately normal, with mean of 2.3 and standard deviation of 0.2

7 0
3 years ago
A number is 6 less than its square. find all such numbers?
cestrela7 [59]
Hello There!

2² - 6 = -2
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Etc....the list goes on

Hope This Helps You!
Good Luck :) 

- Hannah ❤
3 0
3 years ago
Read 2 more answers
For this entry, you are a math expert at a local school. Explain to a group of students how independent and dependent events are
GaryK [48]

Answer:

hope this helps!

Step-by-step explanation:

Sample response: The two main variables in an experiment are the independent and dependent variable. An independent variable is the variable that is changed or controlled in a scientific experiment to test the effects on the dependent variable. A dependent variable is the variable being tested and measured in a scientific experiment.

3 0
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Solve 2x + 4 &gt; 16<br><br>A. x &gt; 10<br><br>B. x &gt; 6<br><br>C. n &lt; 6<br><br>D. x &lt; 10​
Alexandra [31]

Answer:

The answer is B ( X>6 )

Step-by-step explanation:

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8 0
3 years ago
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posledela
33 * 3 + 3/3 = 100

I do not believe u have to use all of the operations because it says " at most once ". 
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