let be a random variable with the following probability distribution. value of 1 0.10 2 0.75 3 0.05 4 0.05 5 0.05 complete the following. (a) find the expectation of . (b) find the variance var of

Unit digit of [tex]3^{25} + 325[/tex] is 8.

Thus option E is correct .

Given , expression [tex]3^{25} + 325[/tex]

To identify the unit digit firstly the cyclicity of 3 ,

Cyclicity of 3 :

[tex]3^1 = 3\\\\3^2 = 9\\\\3^3 = 27\\\\3^4 = 81\\\\3^5 = 243\\\\3^6 = 729\\\\3^7 = 2187[/tex]

[tex]3^8 = 6561[/tex]

Here the cyclicity of 3 is 4 that is the unit digit of exponent of 3 will be repeating after every fourth power.

Here, the exponent of 3 is 25.

Divide 25 by the cyclicity of 3.

25/4

Remainder = 1

Hence the unit digit of [tex]3^{25[/tex] will be 3.

Unit digit of 325  is 5.

Add 5 + 3

= 8

Hence the unit digit will be 8.

Option E is correct .

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Answer:

75

90

15, i think ??

165

hope this helps !!!! :D

Step-by-step explanation:

Solution:

Here,

In triangle LKM,

6x+5x+x=180

12x=180

x=180/12

x=15

Now,

1.75

2.90

3.15

4.165

Answer:

t = 5.79

Step-by-step explanation:

Given the regression line equation :

Cˆ=182+2.2A

Null ; H0:β=0

Alternative ; Ha:β≠0

Comparing with the general for of a linear regression equation :

y = bx + c

b =slope Coefficient ; c = intercept

b = 2.2 (from equation given)

The test statistic :

t = (Slope, b - null, β) / standard error of slope, E

(b - β) / E

(2.2 - 0) / 0.38

t = 2.2 / 0.38

t = 5.7894736

t = 5.79

Answer:

[tex]\sin 117^{\circ} \approx 0.8910[/tex]

Step-by-step explanation:

Sine reaches upper bound when [tex]\theta = 90^{\circ}[/tex] and then decreases until reaches lower bound when [tex]\theta = 180^{\circ}[/tex]. By symmetry, we find the following fact:

[tex]\sin 117^{\circ} = \sin (90^{\circ}+27^{\circ}) = \sin (90^{\circ}-27^{\circ})[/tex]

[tex]\sin 117^{\circ} = \sin 63^{\circ}[/tex]

By information form table we find that:

[tex]\sin 63^{\circ} \approx 0.8910[/tex]

Therefore, we conclude that value of the given angle is:

[tex]\sin 117^{\circ} \approx 0.8910[/tex]

Answer:

median is 2

mean is 6.333

Step-by-step explanation:

arranging values in ascending or descending order you pick the middle for odd numbers which is 2. mean is sum of the total data divided by the number of items in the set which is 2+8+4+10+6+8 divide by 6 which is 6.333

Answer:

he can run 24240 kilometers

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

Answer:

The pvalue of Z when X = 104.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

What is the probability that, for an adult after a 12-hour fast, x is less than 104?

This is the pvalue of Z when X = 104.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{104 - \mu}{\sigma}[/tex]

[tex]\mu[/tex] and [tex]\sigma[/tex] are the values of the mean and of the standard deviation, respectively.

9514 1404 393

Answer:

  112 ft²

Step-by-step explanation:

The shaded area is the difference of the areas of the outside rectangle and the inside rectangle. Each of those areas is the product of the rectangle dimensions.

  shaded area = (14')(12') -(8')(7') = (14')(12') -(14')(4') = (14')(12' -4')

  shaded area = 112 ft²

Answer:

But, you didn't ask any question.

Step-by-step explanation:

Remember to post your question next time.

Answer:

D- x^2

Step-by-step explanation:

Just did the practice edge. 2021

For a given function, y is inversely proportional to x.

Option A is correct.

A function is a mathematical process that uniquely relates the value of one variable to the value of one (or more) other variables.

A function is a special type of relation where every input has a unique output.

A function is a correspondence between two sets(called the domain and range) such that to each element of the domain, there is assigned exactly one element of the range.

Given function

y = [tex]\frac{1}{x^{2} }[/tex]

If x = 1, y =  [tex]\frac{1}{1^{2} }[/tex] = 1

If x = 2, y = [tex]\frac{1}{2^{2} }[/tex] = [tex]\frac{1}{4}[/tex] = 0.25

If x = 3, y = [tex]\frac{1}{3^{2} }[/tex] = [tex]\frac{1}{9}[/tex] = 0.111

If x is changing, y is also changing.

x is in denominator.

So, it means inversely proportional.

Y is inversely proportional to x.

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Answer:

[tex]Area = 8[/tex]

Step-by-step explanation:

Given

The attached figure

Required

Determine the area

The shape is a trapezium. So, the area is:

[tex]Area = \frac{1}{2} *(Sum\ of\ parallel\ sides) * Height[/tex]

From the attached,

The height is 2

The parallel sides are: 2 and 6

So, the area is:

[tex]Area = \frac{1}{2} *(2 + 6) * 2[/tex]

[tex]Area = \frac{1}{2} *8 * 2[/tex]

[tex]Area = 8[/tex]

Hence, the area is 8 units square

Answer:

The slope of the line is 1

Step-by-step explanation:

the formula for slope is

y¹-y²

-----

x¹-x²

y¹ and x¹ can be either of the points.

So let's make it (6,5)

This means that y² and x² will be (8,7)

The equation will be

5-7d -2

----- = ---

6-8 -2

which can be simplified to 1 by divied both by -2

Answer: C 0.22,

Step-by-step explanation:

We have a normal sampling distribution because we expect at least 10 successes and 10 failures per sample

Using the Central Limit Theorem, it is found that the best approximation of the sampling distribution of p is that it is approximately normal, with mean of 0.22 and standard deviation of 0.0586.

In this problem:

Then, [tex]s = \sqrt{\frac{0.22(0.78)}{50}} = 0.0586[/tex]

The sampling distribution of p is approximately normal, with mean of 0.22 and standard deviation of 0.0586.

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Answer:

8

Step-by-step explanation:

[tex]\frac{y}{25}= \frac{32}{100}[/tex]

y × 100 = 32 × 25

100y = 800

100y ÷ 100 = 800 ÷ 100

y = 8

Here is a formula for most percentage problems.

Answer:

A=lw+l(w

2)2+h2+w(l

2)2+h2

Step-by-step explanation:

Answer:

s=89

Step-by-step explanation:

Answer:

Привет! Кто-нибудь читал Криспину крест ведущего? Если да, то может ли кто-нибудь дать мне представление о том, как он изменился в этой истории! Спасибо за ваше время!

Step-by-step explanation:

Answer: the chances are 5 out of 15 so in 30 draws she would draw 10 green hope it helps

Answer:

x = 9°

y = 26°

Step-by-step explanation:

4x + 6x = 90

10x = 90

x = 9

y + 7(9) +1 = 90

y + 64 = 90

y = 26

Answer:

6 litres

Step-by-step explanation:

9:3=3

2×3=6

therefore the answer is 6.

Answer: C

Step-by-step explanation: In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.

Answer: The answer is C. x = 3.46 cm i believe. sorry if im wrong

Step-by-step explanation:

Answer:

2.4 cm

Step-by-step explanation:

Since that they are similar, what you can do is:

3.0/1.2 = 2.5

1.2 * 2.5 = 3.0

0.96 * 2.5 = 2.4 cm

Answer:

To maximize the profits of the company, the subscription price should be raised to $ 22.

Step-by-step explanation:

Given that a bi-monthly sports magazine has 48,000 subscribers when it charges $ 20 for a one year subscription, and for every $ 1 increase in the yearly subscription price, the magazine assumes that it will lose 2,000 subscribers resulting in the equation below, to determine, Using the equation below, how much should the magazine sell for in order to maximize revenues, the following calculations should be performed:

f (x) = (48,000 - 2,000x) (20 + x)

X = 48,000 x 20 = 960,000

X = (48,000 - 2,000x1) x (20 + 1)

X = 46,000 x 21

X = 966,000

X = (48,000 - 2,000x2) x (20 + 2)

X = 44,000 x 22

X = 968,000

X = (48,000 - 2,000x4) x (20 + 4)

X = 40,000 x 24

X = 960,000

Therefore, to maximize the profits of the company, the subscription price should be raised to $ 22.

ok here you go its B

9514 1404 393

Answer:

  A) down

  B) 25 m; 200 m/s

  C) (20.41, 2065.82)

Step-by-step explanation:

When you are first introduced to equations for ballistic motion, you may be told that the formula is ...

  h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds

where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.

When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...

  f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'

When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.

Knowing these things, you are prepared to match the given equation to these patterns.

__

Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.

__

Part B: The constant in the first given equation is 25, so the initial height is 25 meters.

The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.

__

Part C: The vertex can be read from the second equation as ...

  (h, k) = (20.41, 2065.82)

Answer:

B. Yes, all the conditions are met.

Step-by-step explanation:

According to the question

There is a random sample of 111 people also these people are independent

The population size is also not given so we assume that it should be on infinity i.e. it should be more than 10 times higher as compared with the sample size

And, the number of success in the sample is 93

So, the number of failure would be

= 111 - 93

= 18

So, the 93 and 18 would be higher than 10

Therefore, the option b is correct

Answer:

I hope im right so so sorry if im not

Step-by-step explanation:

first find area

1/2 bh

1/2 of base times height

bh=(9)(12)=108

if there is a right angle then that is 90°

so do 108° -90° which is 18°

So your answer is 18°

The solution is, the value of x = 36.87.

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

from the given figure,

we get,

height = 9

base = 12

by, using the trigonometric relations,

we get,

tan x = 9/12

or, tan x = 0.75

or, x = 36.87

Hence, The solution is, the value of x = 36.87.

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