1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ollegr [7]
4 years ago
5

Malcom has $638.54 in his checking account he must maintain a $500 balance to avoid a fee he wrote a check for $159.50 today wri

te and solve an inequality to solve for the least amount of money he needs to avoid a fee
Mathematics
1 answer:
Elanso [62]4 years ago
6 0

Answer:

$20.96

Step-by-step explanation:

He has $638.54 in his account and writes a check for $159.50. The amount of money he needs to stay at or above $500 is denoted by x.

638.54 - 159.50 + x >= 500

After writing a check, Malcom has $479.04 left in his account, which is below his cutoff.

479.04 + x >= 500

He must add at least x amount of dollars to his account to avoid a fee.

x >= 20.96

In order to avoid a fee, Malcom must add a minimum of $20.96 to his account.

You might be interested in
Nine over twelve equals fifteen over n<br> A. 18<br> B. 20<br> C. 22<br> D. 17
earnstyle [38]

Answer:

\frac{9}{12} = \frac{15}{y} \\(12 * 15) /  9 = 20\\B) 20

Step-by-step explanation:

3 0
3 years ago
During the period of time that a local university takes phone-in registrations, calls come in
Zinaida [17]

Answer:

a) The expected number of calls in one hour is 30.

b) There is a 21.38% probability of three calls in five minutes.

c) There is an 8.2% probability of no calls in a five minute period.

Step-by-step explanation:

In problems that we only have the mean during a time period can be solved by the Poisson probability distribution.

Poisson probability distribution

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

a. What is the expected number of calls in one hour?

Calls come in at the rate of one each two minutes. There are 60 minutes in one hour. This means that the expected number of calls in one hour is 30.

b. What is the probability of three calls in five minutes?

Calls come in at the rate of one each two minutes. So in five minutes, 2.5 calls are expected, which means that \mu = 2.5. We want to find P(X = 3).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 3) = \frac{e^{-2.5}*(2.5)^{3}}{(3)!} = 0.2138

There is a 21.38% probability of three calls in five minutes.

c. What is the probability of no calls in a five-minute period?

This is P(X = 0) with \mu = 2.5.

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-2.5}*(2.5)^{0}}{(0)!} = 0.0820

There is an 8.2% probability of no calls in a five minute period.

6 0
3 years ago
Least to greatest 3.6, 120%
elena-14-01-66 [18.8K]

Answer: i need help how u do this

Step-by-step explanation:

how do u do this

7 0
3 years ago
What is the equation in point -slope form of a line that passes through the points (7,-8) and (-4,6)? A. y-6=-2/3(x+4) B. y+6=-1
Lapatulllka [165]
Given two points  (x₁,y₁) and (x₂,y₂)the slope passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)

In this case the slope will be:
(7,-8)
(-4,6)
m=(6+8)/(-4-7)=14/-11=-14/11

point-slope form of a line: we need a point (x₀,y₀) and the slope (m).
y-y₀=m(x-x₀)

In this case, we know the slope (m=-14/11), and we can choose either of two points. The line will be the same.

(-4,6)
m=-14/11
y-y₀=m(x-x₀)
y-6=-14/11(x+4)        ⇒ (point-slope form)

<span>Answer:  D.  y-6=-14/11(x+4)</span>
3 0
3 years ago
Adjust the number into correct standard form. 96 × 10^−2
SSSSS [86.1K]

Answer:

Since the exponent of the scientific notation is negative, move the decimal point 2 places to the left.    

0.96

8 0
3 years ago
Other questions:
  • Plz help me. what is 4.9 * 10^-5 +.0005
    5·2 answers
  • Solve 13-m=2(-4+m).
    5·2 answers
  • Manny was given the equation (x+2)(x-7)=0 and asked to find the zeros. The solutions he came up with were x=2 and x=-17.
    15·1 answer
  • 5 3/5 - 1 2/5 in mixed number in simplest form
    15·2 answers
  • I need help on polynomials
    14·1 answer
  • What is the volume of a rectangular prism with the dimensions: base 2 1 2 cm, height 1 1 2 cm, and length 3 1 2 cm?
    10·1 answer
  • Need it nowwwwwww show work thank you
    14·1 answer
  • Help me solve these
    13·2 answers
  • What is 0.0981 rounded to the nearest tenth of a percent​
    6·2 answers
  • x x &lt; &lt; 7 8 9 10 11 12 13 In the table below are the results of rolling a number cube 400 times. Number 1 2 3 4 5 6 Freque
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!