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1 year ago

Write an inequality to compare the integers -5 and -6

Mathematics

1 answer:

Dovator [93]1 year ago

5 0

-5 > -6

I think this is what it would be because -5 is greater than (>) -6

Hope this is right and it helps :)

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Six Flags is offering a package deal of 5 entrance passes for $130. If 1 entrance pass normally costs $30. how much will you sav

stiv31 [10]

Answer:

You will save $20

Step-by-step explanation:

30x5=150-130=$20

7 0

1 year ago

A construction company is considering submitting bids for contracts of three different projects. The company estimates that it h

julsineya [31]

Answer:

a. $P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\$

b. $E(x) = 0.3$

c. $S(x)=0.5196$

d. $E=5,000$

Step-by-step explanation:

The probability that the company won x bids follows a binomial distribution because we have n identical and independent experiments with a probability p of success and (1-p) of fail.

So, the PMF of X is equal to:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\$

Where p is 0.1 and it is the chance of winning. Additionally, n is 3 and it is the number of bids. So the PMF of X is:

$P(x)=\frac{3!}{x!(3-x)!}*0.1^{x}*(1-0.1)^{n-x}\\$

For binomial distribution:

$E(x)=np\\S(x)=\sqrt{np(1-p)}$

Therefore, the company can expect to win 0.3 bids and it is calculated as:

$E(x) = np = 3*0.1 = 0.3$

Additionally, the standard deviation of the number of bids won is:

$S(x)=\sqrt{np(1-p)}=\sqrt{3(0.1)(1-0.1)}=0.5196$

Finally, the probability to won 1, 2 or 3 bids is equal to:

$P(1)=\frac{3!}{1!(3-1)!}*0.1^{1}*(1-0.1)^{3-1}=0.243\\P(2)=\frac{3!}{2!(3-2)!}*0.1^{2}*(1-0.1)^{3-2}=0.027\\P(3)=\frac{3!}{3!(3-3)!}*0.1^{3}*(1-0.1)^{3-3}=0.001$

So, the expected profit for the company is equal to:

$E=-10,000+50,000(0.243)+100,000(0.027)+150,000(0.001)\\E=5,000$

Because there is a probability of 0.243 to win one bid and it will produce 50,000 of income, there is a probability of 0.027 to win 2 bids and it will produce 100,000 of income and there is a probability of 0.001 to win 3 bids and it will produce 150,000 of income.

5 0

2 years ago

The diagram shows a logo made from three circles

ratelena [41]

Answer:

Use the formula π*(r^2) where r is radius

Area of big circle, all 3=314.1592654 (approximately) and this is =100%

Area of middle circle=153.93804

Area of small circle=78.53981634

Percentage of middle circle with small circle = (153.93804/314.1592654)*100= 48.999999999999 approx= 49%

Percentage of small circle alone = (78.53981634/314.1592654)*100

= 25%

So 51%= big circle alone

And 51%+25%= 76%

100%-76%=24%

3 0

2 years ago

Read 2 more answers

Given right triangle ABC which of the following statements must be true? Check all that apply.

Pachacha [2.7K]

Answer:

Option A. <A and <B are complementary angles

Option D. $Sin(C)=Cos(90\°-C)$

Step-by-step explanation:

we know that

If ABC is a right triangle

then

------> by complementary angles

and

$Sin(C)=Cos(A)$

$Cos(C)=Sin(A)$

Remember that

$A=90\°-C$

$Sin(C)=Cos(90\°-C)$

$Cos(C)=Sin(90\°-C)$

5 0

1 year ago

Mr. Ortez told each student in his class to pick a folded piece of graph paper from a bowl. He instructed them to study the grap

Natalka [10]

Answer:

a graph that connects 3 points connected by a straight line that passes through (5, 0)

Step-by-step explanation:

A graph is the representation of numerical data by one or more lines that give visibility to the relationship between the data. Understanding graphics today is an essential task, as they are very present in our daily lives, whether in newspapers, magazines, the internet, etc.

If a teacher asks each student to take a piece of graph paper containing a graph, study the graph and tell which graph represents graphs of equivalent proportions. The student who has a graph that connects 3 points connected by a straight line passing through (5, 0) is the student who should speak.

8 0

2 years ago