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Anastaziya [24]
3 years ago
11

Solve the inequality: ||x−4|+3|≤5

Mathematics
2 answers:
sveta [45]3 years ago
7 0

Answer:

inequality form:

x<17

interval notation:

(-∞,17]

Step-by-step explanation:

Anit [1.1K]3 years ago
4 0

Answer:

thanks

Step-by-step explanation:

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What is the range of each function given below let g(x)=3^2x?
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Until now, given a function  <span>f(x)</span>, you would plug a number or another variable in for x. You could even get fancy and plug in an entire expression for x. For example, given  <span>f(x) = 2x + 3</span>, you could find <span>f(y2 – 1)</span> by plugging<span> y2 – 1</span> in for x to get <span>f(y2 – 1) = 2(y2 – 1) + 3 = 2y2 – 2 + 3 = 2y2 + 1</span>.

In function composition, you're plugging entire functions in for the x. In other words, you're always getting "fancy". But let's start simple. Instead of dealing with functions as formulas, let's deal with functions as sets of<span> (x, y)</span><span> points </span>

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4 0
3 years ago
Which statements describe a parallelogram that must be a rhombus?
earnstyle [38]

Answer:

3 and 5.

Step-by-step explanation:

A parallelogram which is a rhombus has perpendicular diagonals.

Also a parallelogram which is a rhombus has a pair of congruent consecutive sides.

6 0
3 years ago
The reciprocal of 14?
Irina-Kira [14]
The reciprocal is the deominator. so the answer is 1
6 0
3 years ago
Perform the operation and, if possible, simplify<br> 21/20 - 4/15
Kazeer [188]

Answer:

47/60

Step-by-step explanation:

Find the LCM and multiply to get there.

LCM is 60

63/60-16/60

47/60

8 0
3 years ago
According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h
shepuryov [24]

Answer:

The probability that exactly one of these mortgages is delinquent is 0.357.

Step-by-step explanation:

We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.

A random sample of eight mortgages was selected.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 8 mortgages

            r = number of success = exactly one

           p = probability of success which in our question is % of U.S.

                  mortgages those were delinquent in 2011, i.e; 8%

<em>LET X = Number of U.S. mortgages those were delinquent in 2011</em>

So, it means X ~ Binom(n=8, p=0.08)

Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)

                 P(X = 1)  = \binom{8}{1}\times 0.08^{1} \times (1-0.08)^{8-1}

                               = 8 \times 0.08 \times 0.92^{7}

                               = 0.357

<u><em>Hence, the probability that exactly one of these mortgages is delinquent is 0.357.</em></u>

4 0
3 years ago
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