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2 years ago

Identify this coefficient 8x

Mathematics

1 answer:

galben [10]2 years ago

5 0

Answer:

Step-by-step explanation:

The term 8x is a product (as is any term). It is the product of a constant coefficient (8) and a variable (x). The "coefficient" is the multiplier of the variable of interest, so is 8 in this term.

_____

The word "coefficient" is often used to refer to the constant multiplier in any term. For example, in the term 6xy, if we just ask for the coefficient, we are interested in the value 6.

On the other hand, if we ask for the coefficient of y in that term, we expect to be told it is <em>6x</em>. That is, the "coefficient" is the multiplier of the specified variable or constellation of variables.

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What is the equation of a line that passes through (-4, 3) and (6, -2) ?

s2008m [1.1K]

First find the slope
the slope of the line that passes through (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)

given
(-4,3) and (6,-2)
the slope is (-2-3)/(6-(-4))=(-5)/(6+4)=-5/10=-1/2

so
the equation of a line tat passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
use (-4,3)
and we found slope=-1/2
y-3=-1/2(x-(-4))
y-3=-1/2(x+4)
if yo want slope intercept form
y-3=-1/2x-2
y=-1/2x+1
if yo want standard form
1/2x+y=1
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8 0

3 years ago

What is 7/10-1/2 for subtracting fractions

Charra [1.4K]

I'm guessing you mean to find the answer. So find a common denominator, which is 10. You can leave 7/10 alone. Now multiply by 5 on both the numerator and denominator of 1/2. It would be 5/10. Now subtract 7/10-5/10. The answer is 2/10. It can be simplified to 1/5. The answer now would be: 1/5
I hope this helps. :-)

7 0

3 years ago

Read 2 more answers

A survey of 76 commercial airline flights of under 2 hours resulted in a sample average late time for a flight of 2.55 minutes.

nika2105 [10]

Answer:

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

Since the time can't be negative a good approximation for the confidence interval would be (0,5.248) minutes. The interval are tellling to us that at 95% of confidence the average late time is lower than 5.248 minutes.

Step-by-step explanation:

Information given

$\bar X=2.55$ represent the sample mean for the late time for a flight

$\mu$ population mean

$\sigma=12$ represent the population deviation

n=76 represent the sample size

Confidence interval

The best point of estimate for the true mean is:

$\hat \mu = \bar X = 2.55$

The confidence interval for the true mean is given by:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The Confidence level given is 0.95 or 95%, th significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ . If we look in the normal distribution a quantile that accumulates 0.025 of the area on each tail we got $z_{\alpha/2}=1.96$

Replacing we got:

$2.55-1.96\frac{12}{\sqrt{76}}=-0.148$

$2.55+1.96\frac{12}{\sqrt{76}}=5.248$

7 0

2 years ago

1. Adrian invests $10,000 in an account that increases by 8% each year. What is the balance in the account after 15 years?

TEA [102]

Answer:

$162000

Step-by-step explanation:

8% of 10000

10000÷100=100×8=800

10000+800=10800

10800×15=162000

6 0

1 year ago

There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities a

tester [92]

Answer:

190 possibilities.

Step-by-step explanation:

The problem is called 20 choose 2, given by the formula for combinations

C(20,2) = 20! / (2! (20-2)!) = 190

alternatively, we can reason it this way:

there are 20 choices to choose a captain and 19 choices for an alternate captain for a total of 380 ways.

However, there are 20 choices to choose an alternate captain and 19 choices for a captain for a total of 380 ways.

Since we are essentially double counting every choice of the posts, we need to divide 380 by 2 to get 190 ways.

3 0

3 years ago