Consider the following functions which map Rn to Rn.
(a) T multiplies the jth component of~x by a nonzero number b.
(b) T replaces the ith component of~x with b times the jth component added to the ith component.
(c) T switches the ith and jth components.
Show these functions are linear transformations and describe their matrices A such that T (~x).

Answer:

0.057

Step-by-step explanation:

To obtain the p value, we need to obtain the test statistic :

For a one sample test :

Test statistic is given by :

(xbar - μ) ÷ (σ/√(n))

(185 - 175) ÷ (20/√(10))

10 ÷ 6.3245553

Test statistic = 1.581

Qe used the Z distribution because we are working with the population standard deviation.

Using the Pvalue from test statistic calculator :

Pvalue obtained using the Pvalue from Z statistic calculator, we obtain ;

Pvalue = 0.0569

Answer:

a number p, 14 - p

Step-by-step explanation:

Answer:

[tex]0.156[/tex]

Step-by-step explanation:

[tex]15.6 \div 100[/tex]

[tex]0.156[/tex]

Answer:

(0, 1):  Answer D

Step-by-step explanation:

The three given vertices are (0٫ 4)٫(8٫ 4) and (8٫ 1).  Note that the x-coordinates of two of these are both 8.  The remaining x-coordinate of the fourth vertex is 0.  Since the figure is a rectangle, there are two sets of parallel sides.  If one side is x = 8, the opposite vertical side must be x = 0, since the remaining coordinate is 0.  This side is a vertical line segment.  The fourth and last vertex is at the intersection of x = 0 and y = 1;  (0, 1):  Answer D.

Answer:

60 units

Step-by-step explanation:

Its a 5 × 3 × 4 cube

To find volume multiply the dimensions and you will get 60

Answer:

60 units

Step-by-step explanation:

I did the test.

Answer:

Step-by-step explanation:

use formula

P(x,)=P'(-x,y)

A(5,8)=A'(-5,8)

Answer:

A. 3/8*2=6/8

Step-by-step explanation:

Think about a whole number as (whole number)/1

(2/1)

Then multiply

3/8*2/1=6/8

Hope that helps!

Answer:

use the sine rule

Step-by-step explanation:

Answer:

(2.5, -1.3)

Step-by-step explanation:

x = (3.5 + 1.5) / 2

x = 5/2

x = 2.5

y = (2.2 - 4.8) / 2

y = -2.6/2

y = -1.3

(2.5, -1.3)

Answer:

If its x^2 + 3x - 1 it is not a factor.

Step-by-step explanation:

x^2+3x - 1  is a factor of x^3+2x^2-5x-6​?

Try dividing:

x^2+3x - 1 ) x^3 + 2x^2 - 5x - 6​( x - 1

                  x^3 + 3x^2 - x

                          - x^2  -4x - 6

                          -x^2 - 3x + 1

                                   - x - 7  <------- remainder.

Answer:

.998543

9.92749

sqrt(101)

10 pi

Step-by-step explanation:

10 pi is approximately 10 * 3.14 = 31.4

.998543 is less than 1

9.927

sqrt(101) is a little more than sqrt(100)  which is 10

Smallest .998543

9.92749

sqrt(101)

10 pi

Answer:

.998543

9.92749

sqrt(101)

10 pi

Step-by-step explanation:

10 pi is approximately 10 * 3.14 = 31.4

.998543 is less than 1

9.927

sqrt(101) is a little more than sqrt(100)  which is 10

Smallest .998543

9.92749

sqrt(101)

10 pi

Answer:

t(s) > t(c)  then t(s) is in the rejection region for H₀.

We reject H₀ we support the claim that the mean penetration is bigger than that of the specifications

Step-by-step explanation:

Sample Information:

sample size    n  =  35

sample mean    x  =  52.7

sample standard deviation  s  =  4.8

spec. true average  =  50

Test Hypothesis:

Null Hypothesis                             H₀              x  =  50

Alternative Hypothesis                 Hₐ              x  >  50

The standarddeviation of the population is unknown therefore even though we assume  distribution is normal we have to use t-student distribution

The alternative hypothesis indicates that the test is a one-tail test, we will test at significance level α  =  5 %     CI  =  95 %

for  α   =  0.05    t(c)  is from t-student -table   and with  df  = 35 - 1

df  =  34     t(c)  =  1.69

t(s)  =  (  x  -  μ ) / s/√n

t(s)  = ( 52.7  -  50 ) / 4.8/√35

t(s)  =  2.7 * 5.92 / 4.8

t(s)  =  3.33

Comparing   t(s)  and   t(c)  

t(s) > t(c)  then t(s) is in the rejection region for H₀.

We reject H₀ we support the claim that the mean penetration is bigger than that of the specifications

Answer is A y=2sec(2x)

The function whose graph is given by A y=2sec(2x)

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function having increasingly output for inputs greater than that value of x.

If the function crosses x axis at some point, then for polynomial functions, we have those as roots of the polynomial.

The function that we are given graphed has the point (0,2), this means whichever function f(x) it represents f(0) = 2.

Now, only the sec function has the property that;

y=2sec(2x)

The function whose graph is given by A y=2sec(2x)

Learn more about finding the graphed function here:

https://brainly.com/question/27330212

#SPJ2

Answer:

its nothing 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/8 or 1/3 if you round it.

Answer:

[tex]21^{\circ}[/tex]

Step-by-step explanation:

The Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] and works for every triangle.

Substituting given values, we have the following equation:

[tex]\frac{\sin 68^{\circ}}{18}=\frac{\sin C}{7}, \\\\\sin C=\frac{7\sin 68^{\circ}}{18},\\\\C=\sin^{-1}(0.36057149899),\\\\C\approx \boxed{21^{\circ}}[/tex]

*Note that because [tex]\sin \theta=\sin(180-\theta)[/tex], when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.

Answer:

4 ten thousand=40,0000+16 thousand=16,000+9 ones =9= 40000+16000+9=56,009

Answer:

sorry i did not get i sorryt

Answer: b

Step-by-step explanation: 600 is the total so, just do 10x and 12

Answer:

175,760,000 different California license plates can be made.

Step-by-step explanation:

Possible outcomes for each number of letter:

10 numbers(from 0 to 9) and 26 letters.

Format of the plate:

Number - letter - letter - letter - number - number - number

The numbers of possible outcomes are:

10 - 26 - 26 - 26 - 10 - 10 -10

How many different plates?

We multiply these values. So

10*26*26*26*10*10*10 = 175,760,000

175,760,000 different California license plates can be made.

Answer:

Step-by-step explanation:

radius=diameter/2

13/2

6.5

circumference of a circle=2πr

=2*3.14*6.5

=40.82 feet

=

Answer:

40.84

Step-by-step explanation:

2x3.14x6.5=40.84

Answer:

The minimum sample size is 239.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Population standard deviation is equal to 1.5

This means that [tex]\sigma = 1.5[/tex]

Margin of error of 0.25

This means that [tex]M = 0.25[/tex]

What's the minimum size of the sample?

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.25 = 2.575\frac{1.5}{\sqrt{n}}[/tex]

[tex]0.25\sqrt{n} = 2.575*1.5[/tex]

[tex]\sqrt{n} = \frac{2.575*1.5}{0.25}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.575*1.5}{0.25})^2[/tex]

[tex]n = 238.7[/tex]

Rounding up:

The minimum sample size is 239.

Step-by-step explanation:

This system of election result forecast is called a non-representative poll with a high percent margin of error. and used as an alternative to an expensive and tedious representative poll system.

Non-representative polls can be used to produce accurate electoral predictions and may frequently be done faster and cheaper than typical survey procedures.

Not just for the election forecasts, but also for public opinion on a wide variety of social, economic, and cultural topics, non-representative polling appears promising.

Answer:

Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real

Step-by-step explanation:

Sample size A [tex]n_a=100[/tex]

Sample size B [tex]n_b=250[/tex]

Positive draw from box A [tex]n_a=50[/tex]

Positive draw from box b [tex]n_b=131[/tex]

Generally the equation for Probability of Positive draw from Box A is mathematically given by

 [tex]P_1=\frac{50}{100}[/tex]

 [tex]P_1=50%[/tex]

Therefore

 [tex]1-P_1=50\%[/tex]

Generally the equation for Probability of Positive draw from Box A is mathematically given by

 [tex]P_1=\frac{131}{250}[/tex]

 [tex]P_1=52.4%[/tex]

Therefore

 [tex]1-P_1=47.6\%[/tex]

Generally the equation for Standard error S.E is mathematically given by

 [tex]S.E=\sqrt{\frac{n_1(p_1)*(1-P_1)}{n_1^2}+\frac{n_2(P_2(1-p^2))}{n_2^2}}[/tex]

 [tex]S.E=\sqrt{\frac{100(0.50)*(50)}{100^2}+\frac{(250)(0.524(47))}{250^2}}[/tex]

 [tex]S.E=0.592[/tex]

 [tex]S.E=59.2\%[/tex]

Therefore

 [tex]Z=\frac{50-52.4}{59.2}[/tex]

Generally

 [tex]P value P>0.05[/tex]

Therefore WE accept the Null hypothesis [tex]H_0[/tex] That 50.0% versus 52.4%.difference is real