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Daniel [21]
3 years ago
6

I'm not quite understanding how to solve these word problems

Mathematics
1 answer:
scoundrel [369]3 years ago
6 0
I'll help you on the first one.
Anya test scores are 78 and 91.
She has one more test and want to average between an 80-89 inclusive.
Lets set up a inequality and call the remaining test x.
80<=(78+91+x)/3<=89
Multiply everything by 3
240<=169+x<=267
Subtract 169 from everything
71<=x<=98
In interval notation that would be [71,98]
In set notation that would be{x|71<=x<=98}
For the graph, I don't really understand. I think you just graph 71<=x<=98.

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Violet is planning to make 32 semiannual loan payments of $1580 dollars each. If her bank charges an annual interest rate of 3.8
sergij07 [2.7K]

Answer:

  $21,623.70

Step-by-step explanation:

A suitable financial calculator can compute the beginning balance and the remaining balance for you. The attachments show a TI-Nspire calculator's TVM solver app being used to answer this question.

The first attachment shows the computation of the loan value. It is about $37,624.54.

The second attachment shows the computation of the remaining balance after 16 of the 32 semi-annual payments have been made.

The loan balance 8 years from the end of the loan will be about $21,623.70.

8 0
2 years ago
The jogging track is of a mile long. If Ashley jogged around it 4 times, how far did she run?
matrenka [14]

Answer: 4 miles

Step-by-step explanation:

If Ashley ran 1 mile 4 times, she ran 1+1+1+1, or 1*4, or 4 miles.

<em>Hope it helps <3</em>

5 0
3 years ago
Indicate in standard form the equation of the line passing through the given point and having the given slope. R(4,0), m=5
liberstina [14]
First you put the equation in point slope form- Y-0= 5x - 4
Then add the zero to the 4.
Final answer: y= 5x -4
7 0
3 years ago
Show and explain how replacing one equation by the sum of that equation and a multiple of the other produces a system with the s
lana66690 [7]
Before you will sum up the following equation, first you must multiply the first equation by two and came up with 16x+14y=78 and then add it to the second equation which is 4x-14y=-68 and the remaining variable is 20x=10 then get the value of X and the value is 1/2 or 0.5. I hope you are satisfied with my answer 
4 0
3 years ago
Read 2 more answers
A livestock company reports that the mean weight of a group of young steers is 1143 pounds with a standard deviation of 88 pound
malfutka [58]

Answer:

<em>a) P(x<1200)=74.14%</em>

<em>b) P(1100<X<1250)=57.54%</em>

Step-by-step explanation:

<u>Normal Distribution</u>

The normal distribution, also known as the bell curve, is a distribution that occurs naturally in many situations of life. We use the model N(\mu,\sigma) to understand the behavior of some real-life variables. Where \mu is the mean value and \sigma is the standard deviation.

In our case, we have

\mu=1143,\ \sigma=88

And are required to find the percentage of steers whose weigh lie within a given range. We must use some sort of table or digital means to compute the values because the normal distribution cannot be calculated directly by a formula. We use the NORMDIST (or NORM.DIST) formula for Excel which gives us the left tail of the area behind the bell curve, i.e. the cumulative percentage for a give value of X. The formula has the form

NORM.DIST(x,mean,standard_dev,cumulative)

a) X<1200

The formula is used with the following parameters

NORM.DIST(1200,1143,88,true)

and we get

P(X

b) We need to compute P(1100<X<1250). To do this, we calculate both left tails and the subtract them

NORM.DIST(1100,1143,88,true)=0.3125

NORM.DIST(1250,1143,88,true)=0.8880

P(1100

\boxed{P(1100

6 0
3 years ago
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