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anyanavicka [17]
3 years ago
7

I REALLY NEED HELP PLEEEASS Evelyn has $524.96 in her checking account. She must maintain a $500 balance to avoid a fee. She wro

te a check for $32.50 today. Write and solve an inequality to solve for the least amount of money she needs to deposit to avoid a fee.
524.96 − 32.50 + x ≥ 500; x ≥ $7.54
524.96 − 32.50 + x ≤ 500; x ≤ $7.54
524.96 + 32.50 − x ≥ 500; x ≥ $57.46
524.96 + 32.50 − x ≤ 500; x ≤ $57.46


Thank you
Mathematics
2 answers:
enyata [817]3 years ago
4 0

The answer is A, because I said so and Im Albert Einstein´s nonrelative


m_a_m_a [10]3 years ago
3 0
The answer is the first one. 524.96 - 32.50 + x ≥ 500; x ≥ $7.54
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Amari claims that a rectangle is sometimes a parallelogram but a parallelogram is always a
Maslowich

Answer:

The statement is false.

Step-by-step explanation:

A parallelogram is a figure of four sides, such that opposite sides are parallel

A rectangle is a four-sided figure such that all internal angles are 90°

Here, the statement is:

"A rectangle is sometimes a parallelogram but a parallelogram is always a

rectangle."

Here if we found a parallelogram that is not a rectangle, then that is enough to prove that the statement is false.

The counterexample is a rhombus, which is a parallelogram that has two internal angles smaller than 90° and two internal angles larger than 90°, then this parallelogram is not a rectangle, then the statement is false.

The correct statement would be:

"A parallelogram is sometimes a rectangle, but a rectangle is always a parallelogram"

6 0
2 years ago
A gallon of water weighs 8.345 pounds. Simon uses 11.81 gallons of water while taking a shower. About how many pounds of water d
stealth61 [152]
1 gallon= 8.345 pounds

11.81 gallons= ? Ibs

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5 0
3 years ago
A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.
AVprozaik [17]

Answer:

X \sim N(61,14)  

Where \mu=61 and \sigma=14

Since the distribution for X is normal then the distribution for the sample mean  is also normal and given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\mu_{\bar X} = 61

\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715

So then is appropiate use the normal distribution to find the probabilities for \bar X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  The letter \phi(b) is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: \phi(b)=P(z

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(61,14)  

Where \mu=61 and \sigma=14

Since the distribution for X is normal then the distribution for the sample mean \bar X is also normal and given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\mu_{\bar X} = 61

\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715

So then is appropiate use the normal distribution to find the probabilities for \bar X

8 0
3 years ago
2.25k - 20 = 6.5k + 14 please help me solve this step by step asap!
Rom4ik [11]
Answer:

k= -8

Explaining:


Move variable to the left-hand side and change its sign.

2.25k - 6.5k - 20= 6.5k - 6.5k + 14


Since two opposites add up to zero, remove them from the expression.

2.25k - 6.5k - 20= 14

Collect like terms!

-4.25k = 14 + 20

Add the numbers

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Divide both sides of the equation by -4.25

So you will get the answer: k= -8
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2 years ago
Which of the following numbers is an integer 1.33333..., 5.2, 2/3,-3
kap26 [50]
Integers are whole numbers so the answer is -3
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3 years ago
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