A secret agent being a mathematician, transmitted an important 2-digit locker number in
the following manner: “The difference in the digits is four. The sum of the number and the number formed by reversing the digits is 132.” Find the locker number.

Answer:

9°

Step-by-step explanation:

6x = 5x +9

6x-5x=9

x= 9

_____

Answer:

252 eggs in 7 weeks

Step-by-step explanation:

[tex]12 \times 3 = 36 \\ 36 \times 7 = 252[/tex]

Answer:

a. (0.313,0.447)

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 zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Researchers investigating a new drug selected a random sample of 200 people who are taking the drug. Of those selected, 76 indicated they were experiencing side effects from the drug.

This means that [tex]n = 200, \pi = \frac{76}{200} = 0.38[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 - 1.96\sqrt{\frac{0.38*0.62}{200}} = 0.313[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.38 + 1.96\sqrt{\frac{0.38*0.62}{200}} = 0.447[/tex]

The correct answer is given by option A.

Answer:

The responses can be defined as follows:

Step-by-step explanation:

Given:

[tex]H_o : \mu_1 = \mu_2\\\\H_a : \mu_1 < \mu_2[/tex]

Testing the hypothesis:

[tex]Z=\frac{( \bar{x_1}-\bar{x_2})}{\sqrt{\frac{s_1^2}{n_1} +\frac{s_2^2}{n_2}}}[/tex]

   [tex]=\frac{(22.41-27.75)}{\sqrt{(\frac{1.27^2}{40}+\frac{2.64^2}{24})}}\\\\=-9.29\\\\[/tex]

[tex]a=0.01[/tex]

critical value [tex]Z(0.01)=-2.33[/tex] (using the standard normal table)

[tex]Z=-9.29<-2.33[/tex] so, we reject [tex]H_o[/tex].

Using the t-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence for one to claim that, in general, rugby players have a higher BMI than the multisport men.

At the null hypothesis, it is tested that rugby players do not have a higher BMI than the multi-sport men, that is, the subtraction of the means is not greater than 0, hence:

[tex]H_0: \mu_R - \mu_M \leq 0[/tex]

At the alternative hypothesis, it is tested if they have a higher BMI, that is:

[tex]H_1: \mu_R - \mu_M > 0[/tex]

We have the standard deviation for the samples, hence, the t-distribution is used.

The standard errors are given by:

[tex]s_M = \frac{1.27}{\sqrt{40}} = 0.2008[/tex]

[tex]s_R = \frac{2.64}{\sqrt{24}} = 0.5389[/tex]

For the distribution of differences, the mean and the standard error are given by:

[tex]\overline{x} = \mu_R - \mu_M = 27.75 - 22.41 = 5.34[/tex]

[tex]s = \sqrt{s_M^2 + s_R^2} = \sqrt{0.2008^2 + 0.5389^2} = 0.5751[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{5.34 - 0}{0.5751}[/tex]

[tex]t = 9.29[/tex]

Using a t-distribution calculator, for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 40 + 24 - 2 = 62 df, the critical value is of [tex]t^{\ast} = 1.67[/tex]

Since the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence for one to claim that, in general, rugby players have a higher BMI than the multisport men.

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Answer:

35

Step-by-step explanation:

- x - = +

Therefore :

-5 x - 7 = 35

Answer:

Dear your answer is 9

THANK YOU

Answer:

8.15

Step-by-step explanation:

Answer:

-21

Step-by-step explanation:

(−3)((3)(−3)+(4)(4))

=(−3)((3)(−3))+(−3)((4)(4))

=27−48

=−21

Answer:

25.08

Step-by-step explanation:

Answer:

25.08 cubic feet

Step-by-step explanation:

v = l * w * h

v = 5.5 * 3.8 * 1.2

v = 25.08 cubic feet

Answer:

[tex]x[/tex] rounded to the nearest integer would be 12.

Step-by-step explanation:

In order to calculate the length of [tex]x[/tex], you can use the law of sines, a trigonometry rule used to solve the angles and sides of a right triangle. The law of sines states that the sine of an angle in a triangle divided by its opposite side is equivalent to all other angles taken to their sines and divided by their opposite sides. Using this rule, we can now calculate the length of [tex]x[/tex]. In this case, [tex]\frac{sin(90^{o})}{15} = \frac{sin(53^{o})}{x}[/tex] ⇒ [tex]\frac{15}{sin(90^{o})} = \frac{x}{sin(53^{o})}[/tex] ⇒ [tex]x=\frac{15*sin(53^{o})}{sin(90^{o})}[/tex] ⇒ [tex]x=15*sin(53^{o} )[/tex] ⇒ [tex]x[/tex] ≈ 12. So side [tex]x[/tex] rounded to the nearest integer would be 12.

The value of x in the given triangle is 12, Option C is correct.

The given triangle is a right angled triangle.

We need to find the value of x.

We know that cosx is adjacent side by hypotenuse.

Cos 37 = Adjacent side/ Hypotenuse

The value of cos37 degrees is 0.7654

0.7654 = x/15

15×0.7654=x

11.5 =x

12=x

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Answer:

c

Step-by-step explanation:

Answer:

The answer is B  [4.5x + 15]

Step-by-step

The triangle is an equilateral, so you can use the same formula on each side.

1.5x x 3 = 4.5x

5 x 3 = 15

Answer:

95

Step-by-step explanation:

[tex]x \degree = 95 \degree \\(vertical \: angles) \\ \\ x = 95[/tex]

Answer: B ,I just completed the assignment

AB=CD is not always true. Therefore, option B is the correct answer.

From the given construction, we need to find which conclusion is not always true.

A perpendicular bisector is defined as a line or a line segment that divides a given line segment into two parts of equal measurement. 'Bisect' is the term used to describe dividing equally. Perpendicular bisectors intersect the line segment that they bisect and make four angles of 90° each on both sides.

Here, AB⊥CD.

Since CD is the perpendicular bisector of AB.

AE=EB and CE=DE

AB=CD is not always true. Therefore, option B is the correct answer.

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Answer:

B. P'(-1, 0) and Q'(1, 6)

Step-by-step explanation:

Please select the best answer from the choices provided

Answer:

The answer is A. P'(-2, -4) and Q'(-4, -2)

Step-by-step explanation:

OMG, I just did the Topic Test for Math on Edge earlier today! Good luck on it!

Answer:

QPR

Step-by-step explanation:

If PQR = GHI, then HGI = QPR

Answer:

there is no photo

Step-by-step explanation:

Answer:

4,000

Step-by-step explanation:

Answer: [tex]-\frac{104}{41}[/tex]

Step-by-step explanation:

[tex]f(8)=3-2(8)=-13\\\\g(8)=\frac{1}{8}+5=\frac{41}{8}\\\\\implies \left(\frac{f}{g} \right)(8)=\frac{-13}{41/8}=-\frac{104}{41}[/tex]

Answer:

both manufactures' claims are true because most of there batteries lasted longer than the average alkaline battery.

Step-by-step explanation:

PLATO USERS

Answer:

Both companies claim that their batteries last longer than the average alkaline battery is true .

Step-by-step explanation:

Both companies claim that their batteries last longer than the average alkaline battery  is true because most of the batteries of these companies  did passed the test to last longer.

As we can project from that table given that around 77% Energized batteries passed the test and around 67% powered cell  batteries passed the test.

hence we can also inferred from here that Energized batteries are more consistent.

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Answer:

12.625 gets you a sucky car

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

Answer:

it would either be 2 or 26

Step-by-step explanation:

pls mark braainlieszt

The y-coordinate of the center of the circle decreases by 2. The correct option is B.

Shifting a circle means moving it to a new coordinate plane location without changing its size or shape.

This can be accomplished by adding or subtracting a constant value from one or both of the circle's centre coordinates.

Shifting a circle is useful in geometry and algebraic problem solving because it allows us to investigate how a circle's position affects its relationship to other shapes and objects on the coordinate plane.

To shift the circle down 2 units, we need to subtract 2 from the y-coordinate of the center. The center of the circle has coordinates (3, 5), so shifting it down 2 units results in a new center at (3, 5 - 2) = (3, 3).

Therefore, the correct answer is B. The y-coordinate of the center of the circle decreases by 2.

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9514 1404 393

Answer:

  x = (1/4) +(1/8)e^2

Step-by-step explanation:

Undo what is done to x.

  4ln(8x-2) +2 = 10

  4ln(8x -2) = 8 . . . . . . . subtract 2

  ln(8x -2) = 2 . . . . . . . . divide by 4

  8x -2 = e^2 . . . . . . . . . take antilogs

  8x = 2 +e^2 . . . . . . . . add 2

  x = (2 +e^2)/8 . . . . . .  divide by 8

  x = (1/4) +(1/8)e^2

Step-by-step explanation:

2,360×8=2,360 two thundered three hundred and sixty

Answer: A and B

Step-by-step explanation:

Q isn’t a binomial since the pens are being selected without replacement and the sample size is more than 10% of the population size, so the trails are not independent.

A binomial random variable is such that can take either of two possibilities at the same time.

Samples R and S can be considered as binomial random variables

For a random variable to be considered a binomial random variable, the population must be at least ten times the sample size.

So, we have the following highlights

Container A

[tex]n =100[/tex]

[tex]x = 5[/tex]

Divide n by x

[tex]\frac nx = \frac{100}{5}[/tex]

[tex]\frac nx = 20[/tex]

This means that the population is 20 times the sample size.

Hence, R is a binomial random variable.

Container B

[tex]n =1000[/tex]

[tex]x = 5[/tex]

Divide n by x

[tex]\frac nx = \frac{1000}{5}[/tex]

[tex]\frac nx = 200[/tex]

This means that the population is 200 times the sample size.

Hence, S is a binomial random variable.

Container C

[tex]n =20[/tex]

[tex]x = 5[/tex]

Divide n by x

[tex]\frac nx = \frac{20}{5}[/tex]

[tex]\frac nx = 4[/tex]

This means that the population is 4 times the sample size.

Hence, Q is not a binomial random variable.

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If y = y(x), then the slope of the tangent line to (1, 1) is equal to the value of the derivative dy/dx when x = 1 and y = 1.

Compute the derivative using implicit differentiation:

d/dx [xy ^2 + y] = d/dx [2x]

d/dx [xy ^2] + d/dx [y] = 2 d/dx [x]

(x d/dx [y ^2] + d/dx [x] y ^2) + dy/dx = 2

2xy dy/dx + y ^2 + dy/dx = 2

(2xy + 1) dy/dx = 2 - y ^2

dy/dx = (2 - y ^2) / (2xy + 1)

Plug in x = 1 and y = 1 :

slope = dy/dx = (2 - 1^2) / (2*1*1 + 1) = 1/3

Now use the point-slope formula to get the equation of the line:

y - 1 = 1/3 (x - 1)

y = x/3 + 2/3

Step-by-step explanation:

Table A

Blue Black White Silver Red

Vehicle Blue Vehicle Black Vehicle White Vehicle Silver Vehicle Red Vehicle

hope it is helpful to you

Answer:  inscribed angle

Step-by-step explanation:  

inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.