Help please, I don't know how to get QS

The probability distribution is a) discrete, with b) a mean of 1.23, the standard deviation is c) 0.6458, d) the probability that an American will take 3 or more trips is 0.04, e) the probability that an American will take 2 or less trips is 0.96 and, f) the probability to take at least one trip is 0.94

It is given that the probability distribution of the no. of trips an American adult takes that lasts 5 nights or more

x              probability

0                  0.06

1                   0.70

2                  0.20

3                  0.03

4                  0.01

a)

Here we can see that all the values are isolated and there is no continuity between them. The distribution clearly has breaks between them.

Hence, we can say that the distribution is discrete.

b)

The expected value of any probability

E(X) = ∑xp(x)

where,

x is the random variable

p(x) is the probability of the corresponding random variable hence we get

E(X) = 0 × 0.06  +  1 × 0.70  +  2 × 0.20  +  3 × 0.03  +  4 × 0.01

= 0  +  0.7  +  0.4  +  0.09  +  0.04

= 1.23

Hence the expected value is 1.23

c)

The standard deviation is √σ²

Where σ² = variance of the distribution

σ² = E(X²) - {E(X)}²

{E(X)}² = 1.23²

= 1.5129

E(X²) = ∑x²p(x)

= 0 × 0.06  +  1 × 0.70  +  4 × 0.20  +  9 × 0.03  +  16 × 0.01

= 0.7  +  0.8  +  0.27  +  0.16

= 1.93

Therefore,

σ² = 1.93  -  1.5129

= 0.4171

Therefore

σ = 0.6458

d)

The probability to take 3 or more trips is

P(X≥3)

= P(X = 3)  +  P(X = 4)

= 0.03 + 0.01

= 0.04

e)

The probability of an American taking 2 or less trips is

1 - P(X≥3)

= 1 - 0.04

= 0.96

f)

The probability that an American will take at least one trip is

P(X≥1)

= 1 - P(X = 0)

= 1 - 0.06

= 0.94

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Answer: 66.66.....% (6 recurring) / 66.67%

Step-by-step explanation: To get the percent form of this, you'll need to turn this into a fraction, which would be 18/27, then you can simplify it to 2/3 and convert it to a percent which would be 66.66..... .

The equation that can be used to solve for the number of days until the plant has a height of 30 cm is 22+(d-1)0.5 = 30 where d represents the number of days and the value of d is 17.

According to the question,

We have the following information:

Matteo buys a basil plant that is 22 cm tall and grows 1/2 a centimeter every day.

Now, we have the following arithmetic progression with common difference, denoted by d:

22, 22.5, 23, 23.5, ...

Formula used to find the nth term:

an = a+(n-1)d where a is the first term

A) 22+(d-1)0.5 = 30

B) The plant still have to grow 8 cm because the difference between 30 and 22 is 8 cm.

C) Value of d:

22+(d-1)0.5 = 30

22+0.5d-0.5 = 30

21.5+0.5d = 30

0.5d = 30-21.5

0.5d = 8.5

d = 8.5/0.5

d = 17

Hence, the equation that can be used to solve for the number of days until the plant has a height of 30 cm is 22+(d-1)0.5 = 30 where d represents the number of days and the value of d is 17.

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By using trigonometry, it can be calculated that

The value of sina is [tex]\pm \frac{1}{\sqrt{3}}[/tex]

What is Trigonometry?

Trigonometry shows the relationship between sides and angles of a right angled triangle.

There are six trigonometrical functions. They are

[tex]sin \theta, \ cos\theta, \ tan \theta, \ cot\theta, \ sec\theta, \ cosec\theta[/tex]

[tex]sin\theta = \frac{perpendicular}{hypotenuse}\\\\cos\theta = \frac{base}{hypotenuse}\\\\tan\theta = \frac{perpendicular}{base}\\\\cot\theta = \frac{base}{perpendicular}\\\\sec\theta = \frac{hypotenuse}{base}\\\\cosec\theta = \frac{hypotenuse}{perpendicular}[/tex]

Trigonometry is a very important tool in mathematics.

Here, the trigonometric equation is

sec 2a = 3

cos 2a = [tex]\frac{1}{3}[/tex]

we know,

[tex]1 - cos 2a = 2 sin^2a\\\\1 - \frac{1}{3} = 2sin^2a\\\\2 sin^2a = \frac{2}{3}\\\\sin^2a = \frac{2}{3} \times \frac{1}{2}\\\\sin^2a = \frac{1}{3}\\\\ sina = \pm \frac{1}{\sqrt{3}}[/tex]

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The angle of depression from the top of the tower to a cell phone user who is 5 horizontal miles away and 200 feet above sea level will be 87.36 degrees.

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates.

Here,

The cell phone tower's peak will be at a height of 1300 + 110 = 1410 feet above sea level.

Assuming that the user of a cell phone is 200 feet above sea level, the distance between them is 1410 feet- 200 feet, or 1210 feet.

The distance between them horizontally is 5 miles, or 5 * 5280, or 26400 feet.

The opposite cathetus is 26400 feet away and the neighboring cathetus is 1210 feet away.

the angle is 87.376 degrees, or tan(angle) = 26400 / 1210 = 21.82

A cell phone user 5 horizontal miles away and 200 feet above sea level will be depressed at an angle of 87.36 degrees from the top of the tower.

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Answer:

try -1 it's easier to get the question answered so it can be turned in

Answer:

99/6=16.5 per pizza

have u good day

Answer:

16 and a half, ($16.50)

Step-by-step explanation:

99 / 6 = 16.5

Using the concepts of the hypothesis test, it is found that the p-value is of 0.0007 corresponding to  ten students who  were surveyed and asked how many hours they spent playing video games.

At the null hypothesis, we test if the mean is still the same, that is, of 10.2 hours per week, thus:

H[tex]_o[/tex] = μ=10.2

At the alternative hypothesis, we test if the mean has increased, that is, if it is greater than 10.2 hours per week, thus:

H₁=μ> 10.2

Ten students were surveyed, so there are 9 df. The test statistic is t = 0.45, and it is a one-tailed test, as we are testing if the mean is greater than a value.

Thus, using a t-distribution calculator, the p-value of the test is of 0.0007.

Hence, when the ten students were surveyed and asked how many hours they spent playing video games and the test statistics is equal to 0.45,then the p-value is 0.0007

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Answer: 9/3

Step-by-step explanation: the trriangles proportion is three and 9/3=3

The statement about the given expression is described below.

A math expression consist numbers, variables and operators its operation addition, subtraction, multiplication, and division. The parts of the expression that are connected with addition and subtraction are considered as terms.

Expression, (a+b+c)(d+e+f)(a+b+c)(d+e+f) = (a +b+c)^2(d+e+f)^2

Thus, given expression has two factors which consist 3 terms.

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Answer:

Step-by-step explanation:

1. Put Words into Math.

Negative three minus one and two fifths= -3- 1 2/5

2. Solve the math problem

-3-1 2/5= -4 2/5 or   -22/5 in improper fraction

Answer: -4 2/5 or -22/5

Answer:

= 7/12

Step-by-step explanation:

1 3/4 = 1 + 3/4 = 4/4 + 3/4 = (4+3)/4 = 7/4

(7/4)÷3 = 7/(4*3) = 7/12

The triangle with vertices (−2, 1), (1, 1), and (1, 0) is similar to

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions.

Examining the vertices shows that; Triangle W with vertices (−4, 2), (2, 2), and (2, 0) is in proportion to the given vertices (−2, 1), (1, 1), and (1, 0)

The difference is a scale factor of 2

(−2, 1) * 2 =  (−4, 2)

(1, 1) * 2 = (2, 2)

(1, 0) * 2 = (2, 0)

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The stock markets utilize "Ticker Symbols," which are distinctive one- to five-letter codes, to uniquely identify companies.Because stock quotes used to be printed on a ticker tape machine that resembled the images below, it is known as a ticker symbol.

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Answer:

[tex]y=2x+6[/tex]

Step-by-step explanation:

Slope-intercept form is [tex]y=mx+b[/tex].

Therefore, rearranging the given formula:

[tex]10x-5y=-30[/tex]

[tex]-5y=-10x-30[/tex]

[tex]\frac{-5y}{-5}=\frac{-10x}{-5}-\frac{30}{-5}[/tex]

[tex]y=2x-(-6)[/tex]

[tex]y=2x+6[/tex]

Answer: y=2x+6

Step-by-step explanation:

A slope-intercept form is y=mx+b

Hence,

[tex]10x-5y=-30\\\\10x-5y+5y=-30+5y\\\\10x=-30+5y\\\\10x+30=-30+5y+30\\\\10x+30=5y[/tex]

Divide both parts of the equation by 5:

2x+6=y

Thus, y=2x+6

It is proved that tan15°=2−√3 by using the identity of tan(A-B)

What are the 3 trignometric identities?

The right-triangle theorem, also known as Pythagoras theorem, is the foundation for the three Pythagorean trigonometric identities.

[tex]sin^{2}a+cos^{2}a=1[/tex]

[tex]1+tan^{2}a=sec^{2}a[/tex]

[tex]cosec^{2}a=1+cot^{2}a[/tex]

The reciprocal trigonometric identities are:

Sin θ = 1/Cosec θ or Cosec θ = 1/Sin θ

Cos θ = 1/Sec θ or Sec θ = 1/Cos θ

Tan θ = 1/Cot θ or Cot θ = 1/Tan θ

tan 15 = tan(45 - 30)

As tan(A - B) = (tanA - tanB)/(1 + tanAtanB)

tan15 = tan(45 - 30) = (tan45 - tan30)/(1 + tan30tan45)

                   = [tex]\frac{1 - \sqrt{3} }{1+\sqrt{3} }[/tex]

                   = [tex]\frac{1-\sqrt{3} }{1+\sqrt{3} }[/tex]   ×   [tex]\frac{1 - \sqrt{3} }{1-\sqrt{3} }[/tex]

                   = [tex]\frac{(1-\sqrt{3}) ^{2} }{1-\sqrt{3} ^{2} }[/tex]

                  =  [tex]\frac{(1-\sqrt{3}) ^{2} }{1-3}[/tex]

                 =  [tex]\frac{(1-\sqrt{3} )^{2} }{-2}[/tex]

                =  [tex]\frac{1+3-2\sqrt{3} }{-2}[/tex]

                 = [tex]\frac{4-2\sqrt{3} }{-2}[/tex]

                 = 2-[tex]\sqrt{3}[/tex]

Hence it is proved that tan15°=2−√3

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The volume of the cuboid is [tex]\frac{6}{125}[/tex] and The volume of the cube is [tex]\frac{8}{27}[/tex]

The comparison of both a cube and a cuboid have six faces,a cube has six faces which are all squares and on the other hand, the cuboid is but a cuboid has rectangular faces.

What is a Cube?

A cube is a symmetrical three-dimensional shape which has all six sides equal.

To find the volume of cube is addition of all seen sides or the given sides all squared.

i.e volume of a cube= [tex]a^{3}[/tex]

volume of the cube=([tex]\frac{2}{3}[/tex])^3

Volume= [tex]\frac{8}{27}[/tex] cubic inches

How to dertermine the volume of a cuboid

Whar is a Cuboid?

A Cuboid is a three-dimensional solid shape that has 6 faces, 8 vertices, and 12 edges which the volume can be measured by multiplying the length by the breadth by the height .

Volume of a cuboid = L×B×H

Volume of a cuboid=[tex]\frac{2}{3}[/tex]×[tex]\frac{1}{5}[/tex]×[tex]\frac{3}{5}[/tex]

Volume of a cuboid=[tex]\frac{6}{125}[/tex] cubic inches.

To compare,

A cube has shapes of equal sides six faces and a cuboid faces are non-equal with six faces, 8 vertices and 12 edges.

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A floor that is 3 3/4 yards wide and 5 1/2 yards long requires 20 5/8 square yards of hardwood flooring area.

length = 5 1/2 yd, breadth = 3 3/4 yd.

Make fractions out of both measurements first.

3 3/4 = 3 + 3/4

= 12/4 + 3/4

= 15/4

5 1/2 = 5 + ½

= 10/2 + ½

= 11/2

Area = (15 * 11)/(4 * 2) yd2

Area = 165/8 yd2

They essentially believed that 165/8 = 20 leftover 5 area = 20 5/8 yd2.

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Answer:

150 Houses

Step-by-step explanation:

180/6=30. Every 1/6 is 30 houses. Therefore you multiply 30x5 to get 150. 150 is 5/6 of the houses sold.

Answer:

9ty(3t - 2y)

Step-by-step explanation:

27t²y - 18ty² ← factor out 9ty from each term

= 9ty(3t - 2y)

The random variable in given problem is "x" . The possible values of random variable x are 0,1,2 and 3..

All possible values of random variable is numrical in nature.

We have a table to right lists probabilities for the corresponding number of girls in three live births.

from the table we cleary see that the random variable is x which represents the number of girls in three live births.

Random variable is a variable whose value is unknown or a variable which assigns a numerical value to each trials in Sample Space.

Also, we can see in list that the number of girls in three live birth values are 0, 1 ,2 and 3 ( 3 live birth)

So, the possible values of random variable x is 4 i.e., 0, 1, 2 and 3..

From data we get a result that all possible values of random variable and it's probabilities are numrical in nature.

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Answer: D

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The perimeter of the rectangle is  20 + 20√3 inches.

The perimeter of a rectangle is sum of the whole side of the rectangle. The side bounded by the rectangle is the perimeter of the rectangle.

Therefore,  the diagonal of the rectangle is given as 20 inches.

Using trigonometric ratios, let's find the sides of the rectangle.

sin 30 = opposite / hypotenuse

sin 30 = x / 20

x = 20 sin 30

x = 20 × 0.5

x = 10 inches

Therefore, using Pythagoras theorem,

20² - 10² = b²

b² = 400 - 100

b = √300

b = √100 × 3

b = 10√3

Hence,

perimeter of the rectangle = 2(l + w)

perimeter of the rectangle = 2(10 + 10√3)

perimeter of the rectangle = 20 + 20√3

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Pieces of data such as $18,000 and $350,000 represent outliers in this chart in standard deviation .

How to interpret a standard deviation?

In this chart, there are outliers. The main outliers are $18,000 and $350,000. This is because we know the mean or average is $63,423, and therefore values that are too different from this average are considered outliers.

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Answer:

67.859 g

Step-by-step explanation:

123.9 g - 56.041 g

= 123.900 g - 56.041 g

= 67.859 g

Answer:

Step-by-step explanation:

67.859

The number that represents the location of the penguin in relation to the surface 2 minutes after beginning his dive is 440.

An emperor penguin dives down into the ocean at a constant rate. From the surface, he dives 1,760 feet in 8 minutes. The number 1,760 represents the location of the penguin in relation to the surface. We need to find out the number that represents the location of the penguin in relation to the surface two minutes after he begins his dive.

First, we will calculate the speed of the penguin. The speed is represented by the variable "s".

s = 1,760/8

s = 220 feet per minute

The location of the penguin after 2 minutes is calculated below.

d = 2×s

d = 2×220

d = 440

Hence, the number that represents the location of the penguin in relation to the surface 2 minutes after beginning his dive is 440.

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