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liberstina [14]
3 years ago
10

Which of the following inequalities best represents the graph above?​

Mathematics
2 answers:
Crazy boy [7]3 years ago
8 0

Answer:

X<9

Step-by-step explanation:

xenn [34]3 years ago
5 0

Answer:

x < 9

Step-by-step explanation:

When graphing a simple inequality on a number line, we draw a dot above the number in the solution.  if the inequality is strictly less than or strictly greater than, we leave the dot open; if it is greater than or equal to, or less than or equal to, we fill the dot in.  

We then shade the number line.  If the inequality is less than or less than or equal to, we shade the line to the left.  If the inequality is greater than or greater than or equal to, we shade the line to the right.

On this number line, the dot is above 9.  This makes 9 the solution.

The dot is open; this means it is either strictly less than or strictly greater than.

The line is shaded to the left of 9; this means it is less than.

Together, this gives us

x < 9

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Using inductive​ reasoning, show that ​t(n​+1)=​t(n-​2)+​2t(n-​1)
professor190 [17]

Answer:

uuhhhh  t=2/3n-2/3

Step-by-step explanation:

6 0
3 years ago
Your company manufactures hot water heaters. The life spans of your product are known to be normally distributed with a mean of
Oksana_A [137]

Answer:

You should claim 10.5325 years on your warranty.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 13, \sigma = 1.5

Want's to replace no more than 5% of the products.

This means that the warranty should be 5th percentile, that is, the value of X when Z has a pvalue of 0.05. So X when Z = -1.645.

Z = \frac{X - \mu}{\sigma}

-1.645 = \frac{X - 13}{1.5}

X - 13 = -1.645*1.5

X = 10.5325

You should claim 10.5325 years on your warranty.

6 0
3 years ago
Prove that 3:8 is equivalent to 12:32
Svetlanka [38]
3:8 can also be written as 3/8

12:32 can also be written as 12/32

\frac{12}{32} = \frac{3\times 4}{8\times 4} = \frac{3}{8}

So thus 3:8 is equivalnt to 12:32
4 0
3 years ago
Simplify -5-8x+4x-6+9x
MrRissso [65]
Okay.  First simplify all the like terms (all the coefficients and all the variables).
When simplified it should give you:
5x-11

6 0
3 years ago
Read 2 more answers
Find the selling price. Original price of the telescope: $99.99 Discount: 13%
iragen [17]
There is no discount stated but I'm assuming this problem is the same problem I encountered before.

Original price of the telescope is $99.99
Discount: 13%

$99.99 * 13% = 12.9987 or 13
$99.99 - 13 = $86.99 or $87 

New selling price is $86.99 rounded up to the nearest unit $87.00
7 0
3 years ago
Read 2 more answers
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