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Elina [12.6K]
3 years ago
9

Given: 9x > -36.

Mathematics
2 answers:
balu736 [363]3 years ago
8 0
<h2>Greetings!</h2>

Answer:

{x | x > -4}

Step-by-step explanation:

The direction of the < or > sign only changes when numbers are multiplied or divided by negatives.

Because to simplify 9x > -36 you only need to divide by 9, the sign stays the same and the numbers are simply divided:

\frac{9x}{9}  > \frac{-36}{9}

x > -4

So the solutuon set would be:

<h3>{x | x > -4}</h3>
<h2>Hope this helps!</h2>
EleoNora [17]3 years ago
4 0

D. {x | x > -4}

I think sorry if I'm wrong.

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Discrete R.V. Assume a student shows up for EGR 280 completely unprepared and the instructor gives a pop quiz. Assume there are
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Answer:

a) p=0.2

b) probability of passing is 0.01696

.

c) The expected value of correct questions is 1.2

Step-by-step explanation:

a) Since each question has 5 options, all of them equally likely, and only one correct answer, then the probability of having a correct answer is 1/5 = 0.2.

b) Let X be the number of correct answers. We will model this situation by considering X as a binomial random variable with a success probability of p=0.2 and having n=6 samples. We have the following for k=0,1,2,3,4,5,6

P(X=k) = \binom{n}{k}p^{k}(1-p)^{n-k} = \binom{6}{k}0.2^{k}(0.8)^{6-k}.

Recall that \binom{n}{k}= \frac{n!}{k!(n-k)!} In this case, the student passes if X is at least four correct questions, then

P(X\geq 4) = P(X=4)+P(X=5)+P(X=6)=\binom{6}{4}0.2^{4}(0.8)^{6-4}+\binom{6}{5}0.2^{5}(0.8)^{6-5}+\binom{6}{6}0.2^{6}(0.8)^{6-6}= 0.01696

c)The expected value of a binomial random variable with parameters n and p is E[X] = np. IN our case, n=6 and p =0.2. Then the expected value of correct answers is 6\cdot 0.2 = 1.2

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4 years ago
A plant grows 3 centimeters in 10 days. How much does it grow per day? How can I answer my question as a fraction in simplest fo
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It grows .3 cm per day
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3 years ago
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of serv
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<h2>bhlhgewafhjffdgnhgreesdbjit<u>bbbbhbfghjkkbiiuu</u><u>h</u><u>h</u><u>h</u></h2>
8 0
3 years ago
The difference of two numbers is 90 and their quotient is 10
bija089 [108]
To solve this, set up two equations using the information you're given. Let's call our two numbers a and b:
1) D<span>ifference of two numbers is 90
a - b (difference of two numbers) = 90

2) The quotient of these two numbers is 10
a/b (quotient of the two numbers) = 10


Now you can solve for the two numbers.
1) Solve the second equation for one of the variables. Let's solve for a:
a/b = 10
a = 10b

2) Plug a =10b into the first equation and solve for the value of b:
a - b = 90
10b - b = 90
9b = 90
b = 10

3) Using b = 10, plug it back into one of the equations to find the value of a. I'll plug it back into the first equation:
a - b = 90
a - 10 = 90
a = 100

-------

Answer: The numbers are 100 and 10</span>
3 0
4 years ago
I need desperate help <br>​
Lady_Fox [76]

Answer:

D

Step-by-step explanation:

y equals 1. x equals 15. 15 over 15 is 1.

3 0
4 years ago
Read 2 more answers
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