Exercise 5.2
Which of the capital letters of the English alphabet are symmetrical?​

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Answer:

  C.  Rhombus

Step-by-step explanation:

The symmetry of the coordinates tells you the figure has equal-length sides, but the angles are not right angles. Such a figure is a rhombus.

Answer:

c

Step-by-step explanation:

Answer:

The answer is "Option B".

Step-by-step explanation:

Please find the complete question in the attached file.

The Horizontal stretch [tex]=(\frac{1}{6 \ x})\\\\[/tex]

Translation by 5 units right[tex]=( \frac{1}{6\ x})-5[/tex]

Answer:

its A i used his answer and got it wrong

Answer:i actually dunno

Step-by-step explanation:

wat

Answer:

41.6

Step-by-step explanation:

got it wrong and it showed me the right answer

Answer:

demographic

Step-by-step explanation:

Answer:

a) The 98% Confidence Interval for the proportion of all students that prefer ebooks is (0.55, 0.65).

b) The margin of error is of 0.05.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In a sample of 400 students, 60% of them prefer eBooks.

This means that [tex]n = 400, \pi = 0.6[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.054[/tex].

Margin of error -> Question b:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 2.054\sqrt{0.6*0.4}{400}}[/tex]

[tex]M = 0.05[/tex]

The margin of error is of 0.05.

A.Find 98% Confidence Interval for the proportion of all students that prefer ebooksb.

Sample proportion plus/minus the margin of error.

0.6 - 0.05 = 0.55

0.6 + 0.05 = 0.65

The 98% Confidence Interval for the proportion of all students that prefer ebooks is (0.55, 0.65).

Answer:

B. binomcdf(100, 0.5, 35)

Step-by-step explanation:

Binomcdf function:

The binomcdf function has the following syntax:

binomcdf(n,p,a)

In which n is the number of trials, p is the probability of a success in a trial and a is the number of sucesses.

35 or fewer heads come up when flipping a coin 100 times.

100 coins are flipped, which means that n = 100.

Equally as likely to be heads or tails, so p = 0.5

35 or fewer heads, so a = 35.

Then

binomcdf(n,p,a) = binomcdf(100,0.5,35)

The correct answer is given by option B.

Answer:

a.

0.2805 = 28.05% probability that an inventor has a best idea from 6 A.M. to 12 noon.

0.1273 = 12.73% probability that an inventor has a best idea from 12 noon to 6 P.M.

0.3385 = 33.85% probability that an inventor has a best idea from 6 P.M. to 12 midnight.

0.2536 = 25.36% probability that an inventor has a best idea from 12 midnight to 6 A.M.

b. They do, as the the sum of the probabilities of all possible outcomes should be 1, as is in this question.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the total outcomes.

We have:

A total of 966 inventors.

Question a:

6 A.M. to 12 noon

271 out of 966, so:

[tex]p = \frac{271}{966} = 0.2805[/tex]

0.2805 = 28.05% probability that an inventor has a best idea from 6 A.M. to 12 noon.

12 noon to 6 P.M.

123 out of 966, so:

[tex]p = \frac{123}{966} = 0.1273[/tex]

0.1273 = 12.73% probability that an inventor has a best idea from 12 noon to 6 P.M.

6 P.M. to 12 midnight

327 out of 966, so:

[tex]p = \frac{327}{966} = 0.3385[/tex]

0.3385 = 33.85% probability that an inventor has a best idea from 6 P.M. to 12 midnight.

12 midnight to 6 A.M.

245 out of 966. So

[tex]p = \frac{245}{966} = 0.2536[/tex]

0.2536 = 25.36% probability that an inventor has a best idea from 12 midnight to 6 A.M.

b. Do the probabilities add up to 1? Why should they?

0.2805 + 0.1273 + 0.3385 + 0.2536 = 1

They do, as the the sum of the probabilities of all possible outcomes should be 1, as is in this question.

Answer:

The Answer to the Ultimate Question of Life, the Universe, and Everything is 42

Step-by-step explanation:

In this equation, the number 42 is called a minuend.

15 is a subtrahend because it is being subtracted from another number.

The number 27 would be called the difference.

Answer:

[tex]\frac{\sqrt{3} }{3} }(cos(\frac{19\pi}{12})+isin(\frac{19\pi}{12}))[/tex]

Step-by-step explanation:

Division of complex numbers in polar form is [tex]z_1/z_2=\frac{r_1}{r_2}cis(\theta_1-\theta_2)[/tex] where [tex]z_1[/tex] and [tex]z_2[/tex] are the complex numbers being divided, [tex]r_1[/tex] and [tex]r_2[/tex] are the moduli, [tex]\theta_1[/tex] and [tex]\theta_2[/tex] are the arguments, and [tex]cis[/tex] is shorthand for [tex]cos\theta+isin\theta[/tex]. Therefore:

[tex]\frac{9(cos(\frac{11\pi}{6})+isin(\frac{11\pi}{6})) }{3\sqrt{3}((cos\frac{\pi}{4})+isin(\frac{\pi}{4})) }[/tex]

[tex]\frac{9}{3\sqrt{3} }cis(\frac{11\pi}{6}-\frac{\pi}{4})[/tex]

[tex]\frac{\sqrt{3} }{3} }cis(\frac{19\pi}{12})[/tex]

[tex]\frac{\sqrt{3} }{3} }(cos(\frac{19\pi}{12})+isin(\frac{19\pi}{12}))[/tex]

midpoint= (x, y)

where x=(x1 + x2)/2

y=(y1 + y2)/2

x1=-3, x2=6, y1=5, y2=-11

so x=(-3 + 6)/2= 3/2

y=(5 + -11)/2= (5-11)/2= -6/2= -3

so mid point =(3/2, -3)

hope this helps

Answer:

348 kiwis

Step-by-step explanation:

Jamie is packing Kiwie fruits into a tray

Each tray holds 58 kiwis

He can put 6 trays in a crate

Hence when the craye is full the number of kiwis it will contain can be calculated as follows

°= 58×6

= 348 kiwis

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Answer:

  4

Step-by-step explanation:

In order to evaluate f(g(-1)), you first need to find g(-1).

The graph of g(x) crosses the line x = -1 at y = 1, so g(-1) = 1.

The second step is evaluating f(1). The graph of f(x) crosses the line x=1 at y=4, so f(1) = 4.

  f(g(-1)) = f(1) = 4

Answer:

4.2 hours

Step-by-step explanation:

The exact value of cos(13π/8) is 1/2 [tex]\sqrt{2-\sqrt{2} }[/tex].

Trigonometriic ratios are the ratios of the sides of a right angled triangle. sin , cos, tan, sec, cosec, cot are some of the trigonometric ratios. Sin is the ratio of perpendicular and hypotenuse, cos is the ratio if base and hypotenuse, tan is the ratio of perpendicular and base, secant is the ratio of hypotenuse and base, cosecant is the ratio of hypotenuse and perpendicular, cot is the ratio of base and perpendicular.

We have to find the value of cos (13π/8).

We have to use formula which is following:

cos[tex]Θ[/tex]=[tex]\sqrt{1/2(1+cos 2Θ}[/tex]

=[tex]\sqrt{1/2(1+cos(2*13 π/8)}[/tex]   (π=[tex]π[/tex])

=[tex]\sqrt{1/2(1+cos(3 π+π/4)}[/tex]

=[tex]\sqrt{1/2(1-cos(π/4)}[/tex]

=[tex]\sqrt{1/2(1-1/\sqrt{2} }[/tex]

=[tex]\sqrt{\sqrt{2}-1/2\sqrt{2} }[/tex]

=1/2[tex]\sqrt{2-\sqrt{2} }[/tex]

Hence the value of cos (13π/8) is [tex]1/2\sqrt{2-\sqrt{2} }[/tex].

Learn more about trigonometric ratios at https://brainly.com/question/24349828

#SPJ2

Use the following property below:

[tex] \large \boxed{ \sqrt[n]{a} \times \sqrt[n]{a} \times \sqrt[n]{a} = { (\sqrt[n]{a}) }^{3} }[/tex]

Therefore,

[tex] \large{ \sqrt[7]{x} \times \sqrt[7]{x} \times \sqrt[7]{x} = { (\sqrt[7]{x}) }^{3} }[/tex]

Then we use next property.

[tex] \large{ \sqrt[n]{ {a}^{m} } = {a}^{ \frac{m}{n} } }[/tex]

Hence,

[tex] \large{ \sqrt[7]{ {x}^{3} } = {x}^{ \frac{3}{7} } }[/tex]

Answer

Answer:

No solution is possible since you failed to provide the necessary information

Step-by-step explanation:

Answer:

as the sample size increases, the margin of error decreases

Answer:

B . Yes

Step-by-step explanation:

Recall: a tangent of a circle is perpendicular to the radius of a circle, forming a right angle at the point of tangency.

Therefore, if segment ST is tangent to circle P, it means that m<T = 90°, and ∆PST is a right triangle.

To know if ∆PST is a right triangle, the side lengths should satisfy the Pythagorean triple rule, which is:

c² = a² + b², where,

c = longest side (hypotenuse) = 37

a = 12

b = 35

Plug in the value

37² = 12² + 35²

1,369 = 1,369 (true)

Therefore we can conclude that ∆PST is a right triangle, this implies that m<T = 90°.

Thus, segment ST is a tangent to circle P.

Answer:

7

Step-by-step explanation:

The probability of choosing a blue marble is 7/8, or 49/56, which means that out of 56 marbles, 49 are blue. 56-49=7, so there are 7 red marbles. Hope this helps! :)

Answer:

(2,9)

Step-by-step explanation:

I am assuming that you mean: [tex]y= 3^x[/tex]

I have graphed the function given along the points given. When they are graphed, only the point (2,9) lie on the line.

This means that Option B is the correct answer.

See graph below.

Hope this helps.

Answer:

115.5 cm

Step-by-step explanation:

A^2 + B^2 = C^2

41^2 + 108^2 = C^2

C^2 = 13345

C = 115.5 cm

Answer:

Step-by-step explanation:

OPTION A

y= 3x+6

This equation satisfies for all the value given in the table.

For (0,6)

y = 3(0)+6 = 6

For (2,12)

y=3(2) +6 = 6+6= 12

And so on.

Answer:

City B experienced a bigger temperature change than City A.

Step-by-step explanation:

From the graph of the temperature given, using visual inspection, we can see how the graph of both cuties change, for city A, the change in temperature, very low as the highest temperature is about 80 and the lowest temperature value is about 76 ;

However. For city B, the highest temperature value is about 100 and the lowest is about 76

Hence, City B experienced a bigger temperature change than A.

For low temperature, the low temperature in city A and B are the same with a value of about 76°