Solve the equation
5m + 4m = 72

Answers

Answer 1
Answer: You add the 5m and 4m because they are like terms to get 9m=72 then divide both sides by nine to get m=8.

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The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a standard deviation of 1.90. Find the probability that a randomly selected individual will take less than 6 minutes to select a shoe purchase. Is this outcome unusual?

Answers

Correct answer is: P(x<6) is 0.123 and it is usual.

Solution:-

Given that the time a person takes to decide which shoes to purchase follows normal distribution. Which has mean = 8.21 minutes and standard deviation 1.90

Then probability of individual takes less than 6 minutes is

P(X<6) = P(z<(x-mean)/(standard deviation) )

           = P(z<(6-8.21)/(1.90) )=P(z<-1.163)

           = 0.1230

Typically we say an event with a probability less than 5% is unusual.

But here P(X<6) = 0.123 is greater than 5% hence this is usual.

Which of the following expressions are equivalent to - -a/b

Answers

Answer:

B) -(a)/(-b)

Step-by-step explanation:

1. First, we have to know that two negatives equal positive.

2. Given the information above, -(-a)/(b) can simplify to (a)/(b).

3. Let's go through each answer choice and see which one also simplifies to (a)/(b).

A:

  • (a)/(-b)
  • -(a)/(b)

B:

  • -(a)/(-b)  
  • (a)/(b)

Therefore, the answer is B) -(a)/(-b).

33.7 rounded to the nearest ten

Answers

I think the answer is 30.
the anwser is 34 because 5 and up would round up

A(n) _____ that is perpendicular to a chord bisects the chord.radius
chord
angle
diameter

Answers

The answer to this item is the first choice, radius. The line formed by the radius to the chord of the circle which forms a right angle with the chord is also the perpendicular bisector of the chord. The answer therefore to thisi tem is the first choice, radius.

Answer:

(D) is your best choice to choose.

Step-by-step explanation:

a diameter perpendicular to a chord bisects the chord and its arc.

A hot air balloon rose from ground level to 1000 feet in order to pass over a mountain. The balloon then descended 800 feet to a cruising height.A number line going from negative 1000 to positive 1000 in increments of 100. The line has points negative 1000, blank, A, blank, blank, negative 500, blank, blank, B, blank, 0, blank, C, blank, blank, 500, blank, blank, D, blank, 1000.

Which point is a representation of cruising height in feet?
Point A
Point B
Point C
Point D

Answers

Answer:

Point C.

Step-by-step explanation:

Hope this helps!

Answer:

c

Step-by-step explanation:

hope i helped hehe :)

The salary of members of two governing bodies in 2008 was ​$167.2

167.2 ​thousand, and has increased by approximately ​$

2

2 thousand per year since then.

Complete parts a. and b.

Answers

Complete Question

The salary of members of two governing bodies in 2008 was $167.2 thousand, and has increased by approximately $2 thousand per year since then. Complete parts (a) and (b).

(a) Complete the following table to help find an expression that stands for the the salary (in thousands of dollars) of members of the two governing bodies t years since 2008.

Number of years and salaries of members of the two governing bodies

\left|\begin{array}{c|c}-------&------\n$Years since 2008&$Salary (thousands of dollars)\n-------&------\n0&(2*--) + --\n1&(2*--) + --\n2&(2*--) + --\n3&(2*--) + --\n4&(2*--) + --\nt&(2*--) + --\end{array}\right| \n

(b) Evaluate the expression that is found in part (a) for t = 5. What does the result means in this situation?

Answer:

(a)S(t)=2t+167.2

(b) S(5)=$177.2 thousand.

Step-by-step explanation:

(a)

The salary increases by $2 thousand per year since 2008. Therefore, the completed table is below:

\left|\begin{array}{c|c}-------&------\n$Years since 2008&$Salary (thousands of dollars)\n-------&------\n0&(2\cdot 0) + 167.2\n1&(2\cdot 1) + 167.2\n2&(2\cdot 2) + 167.2\n3&(2\cdot 3) + 167.2\n4&(2\cdot 4) + 167.2\nt&(2\cdot t) + 167.2\end{array}\right| \n

Therefore, an expression that gives the salary (in thousands of dollars) of members of the two governing bodies t years since 2008 is:

S(t)=2t+167.2

(b)

When t=5

S(5)=2*5+167.2\nS(5)=177.2

This means that 5 years after 2008 (i.e Year 2013) the salary of members of the two governing bodies will be approximately$177.2 thousand.