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3 years ago

Which interval for the graphed function contains the local maximum?

Mathematics

1 answer:

Kamila [148]3 years ago

8 0

Answer:

Step-by-step explanation:

Definition: Suppose that $f(x)$ is a function and $D(f)$ is the domain of $f(x).$ If $a\in D(f),$ we say that $f(a)$ is a Local Maximum on $f(x)$ if $f(a)\ge f(x)$ when $x$ is near $a.$ (See attached diagram for details)

From your graph you can see that the local maximum is nearly x=1.5, so interval [1,2] contains the local maximum.

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(30 points) hElppp me

Savatey [412]

Answer:

not very sure

Step-by-step explanation:

8 0

3 years ago

There are 15 candidates for 4 job positions.

Veronika [31]

Answer:

32760 ways

Step-by-step explanation:

Given

Number of Candidates = 15

Job Positions = 4

Required:

Number of outcomes

This question represent selection; i.e. selecting candidates for job positions;

This question can be solved in any of the following two ways

Method 1.

The first candidate can be chosen from any of the 15 candidates

The second candidate can be chosen from any of the remaining 14 candidates

The third candidate can be chosen from any of the remaining 13 candidates

The fourth candidate can be chosen from any of the remaining 12 candidates

Total Possible Selection = 15 * 14 * 13 * 12

Total Possible Selection = 32760 ways

Method 2:

This can be solved using permutation method which goes thus;

$nPr = \frac{n!}{(n-r)!}$

Where n = 15 and r = 4

So;

$nPr = \frac{n!}{(n-r)!}$ becomes

$15P4 = \frac{15!}{(15-4)!}$

$15P4 = \frac{15!}{11!}$

$15P4 = \frac{15*14*13*12*11!}{11!}$

$15P4 = 15*14*13*12$

$15C4 = 32760$

Hence, there are 32760 ways

8 0

3 years ago

An IQ test is designed so that the mean is 100 and the standard deviation is 1414 for the population of normal adults. Find the

Amanda [17]

Answer:

Step-by-step explanation:

The first thing is to calculate critical z factor

the alpha and the critical z score for a confidence level of 90% is calculated as follows:

two sided alpha = (100% - 90%) / 200 = 0.05

critical z factor for two sided alpha of .05 is calculated as follows:

critical z factor = z factor for (1 - .05) = z factor for (.95) which through the attached graph becomes:

critical z factor = 2.58

Now we have the following formula:

ME = z * (sd / sqrt (N) ^ (1/2))

where ME is the margin of error and is equal to 6, sd is the standard deviation which is 14 and the value of z is 2.58

N the sample size and we want to know it, replacing:

6 = 2.58 * (14 / (N) ^ (1/2))

solving for N we have:

N = (2.58 * 14/6) ^ 2

N = 36.24

Which means that the sample size was 37.

5 0

3 years ago

I'm not sure what trig function to use. Someone please help, and please answer sedulously, and not just for points. Thank you in

Alex Ar [27]

Answer:

w = 6.7451

x = 8.0805

Step-by-step explanation:

Find W

Tan(56) = opposite / adjacent

opposite = 10

Adjacent = w

Tan (56) = 10/w

w*Tan(56) = 10

w = 10 / tan(56)

w = 10/ 1.4826

w = 6.7451

Find x

Tan (34) = 10 / (w + x)

Tan (34) = 0.6745

(w + x) * Tan(34) = 10

w + x = 10 / tan(34)

w+ x = 10 / 0.6745

w + x = 14.826

But we found w = 6.7451

6.7451 + x = 14.826

x = 14l826 - 6.7451

x = 8.0805

7 0

3 years ago

Pls help me its for a grade

SVETLANKA909090 [29]

Answer:

D. -9

Step-by-step explanation:

$5f - 6f = 9 \\ - f = 9 \\ f = - 9$

7 0

3 years ago

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