w6+58=-138!! what is x PLEASE

Answer:

45

Step-by-step explanation:

g of x = g of 4

4 is the x

so 6(4) +21 is 24 + 21 which = 45

Answer:

-3

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

Hope it helps

We need a sample size of at least 62 to detect the alternative hypothesis with power of at least 0.80 at a 5% significance level.

To answer this question, we need to use power analysis. Power is the probability of rejecting the null hypothesis when it is false. In this case, the null hypothesis is m = 0 and the alternative hypothesis is m > 0. We want to detect the alternative hypothesis with power of at least 0.80 at a 5% significance level.

Assuming that s is 20 and we want to detect the alternative m > 4, we can use the following formula to calculate the sample size:

n = (Zα/2 + Zβ)² * σ² / δ²

where:
- Zα/2 is the critical value for the significance level α/2 (α = 0.05, so Zα/2 = 1.96)
- Zβ is the critical value for the power (power = 0.80, so Zβ = 0.84)
- σ is the standard deviation (σ = 20)
- δ is the difference between the null hypothesis and the alternative hypothesis (δ = 4)

Substituting these values into the formula, we get:

n = (1.96 + 0.84)² * 20² / 4²
n = 61.61

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Answer: True

Step-by-step explanation:

The surface area of the exterior of the building is approximately 105,480 square feet.

Use the concept of pyramid defined as:

A pyramid is a 3D shape that has a base made of a polygon and faces that are all triangular and linked.

The conventional form of a pyramid is created by joining each vertex of the base to a single common tip or apex.

Given that,

The building consists of a square prism with a square pyramid on top.

The base of the building has an edge length of 60 feet.

The height of the prism is 150 feet.

The height of the pyramid is one-sixth (1/6) the height of the prism.

The surface area of a square prism can be calculated using the formula:

Surface Area = 2ab + 4s²

Where,

'a' and 'b' are the widths of the base's sides then,

a = 60

b = 60

And 's' is the height of the prism =  150 feet.

Therefore,

Surface Area of Prism = 2(60x60) + 4(150)²

Surface Area of Prism = 97,200 square feet.

Calculate the surface area of the pyramid:

The surface area of a square pyramid can be determined using the formula: s² + 2sl

Where,

s = the length of the base (which is also 60 feet)

l = is the slant height of the pyramid.

The slant height can be found using the Pythagorean theorem:

\(l = \sqrt{(h^2 + (s/2)^2}\)

In this case,

The height of the pyramid is one-sixth the height of the prism,

Which is (1/6)150 = 25 feet.

\(l =\sqrt{25^2 + (60/2)^2}\\\\l \approx 39 \text{ ft}\)

Calculate the surface area of the pyramid:

Surface Area of Pyramid = 60² + 2x60x39

Surface Area of the Pyramid ≈ 8,280 square ft.

Add the surface area of the prism and the surface area of the pyramid to get the total surface area of the exterior of the building.

Total Surface Area = Surface Area of Prism + Surface Area of Pyramid

Total Surface Area = 97,200 square feet + 8,280 square feet

Total Surface Area = 105,480 square feet

Hence,

The required surface area is 105,480 square feet.

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Answer:

+3

(0 is normal, so 3 degrees above would be +3)

hope this helps! <3

Answer:

perpendicular lines

Step-by-step explanation:

Two lines that intersect and form right angles are called perpendicular lines. The symbol ⊥ is used to denote perpendicular lines. Two lines, both in the same plane, that never intersect are called parallel lines. Parallel lines remain the same distance apart at all times.

Answer:

I think it's 4/9 the first one

Does there seem to be a pattern in the population estimates of the bugs on this tree is the query or the question .

Variation is the difference in an individual's genetic make-up that causes a population's members to have different physical characteristics. Variation can be shown in an individual's physical characteristics, fertility, metabolism, and method of reproduction. A variation is a relationship between a set of values for one variable and another set of values. direct change. If m is a nonzero constant and b = 0, the function y = mx (commonly written y = kx) that results from the equation y = mx + b is known as a direct variation.

given

the population of the bugs

b is the no. of bugs = 50 . \(3^{t}\)

t is the no. of weeks they first counted

so this question explains

the range of population estimates

Is there a trend in the variation of estimates

Does there seem to be a pattern in the population estimates of the bugs on this tree is the query or the question .

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Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

Given:

Payment required at the end of each year: P50,000

Number of years until the daughter starts college: 8

Interest rate: 7% (compounded annually)

We can calculate the annual savings using the formula for the present value of an ordinary annuity:

P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}

Where:

P = Present value (amount to be saved annually)

PMT = Payment amount (P50,000)

r = Interest rate per period (7% or 0.07)

n = Number of periods (8)

Let's substitute the given values into the formula:

\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

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In Bimodal Distribution two nonadjacent values occur more frequently than any other values in a set of data.

According to the statement

we have to tell about the that type of distribution in which two nonadjacent values occur more frequently than any other values in a set of data

A bimodal distribution has two peaks. In the context of a continuous probability distribution, modes are peaks in the distribution.

and from this definition we have clear that the in this distribution the values are repeated.

it shows the probability distribution with two peaks in the graphical mode.

Bimodal distribution show repeated value.

it is used in many types of data representation because of two peaks graphical representation than the simple graph.

it is the easiest method than the others distributions.

So, In Bimodal Distribution two nonadjacent values occur more frequently than any other values in a set of data.

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a) the moment generating function of Y = X1 + X2 - 2X3 is M_Y(t) = exp{-µt + 3σ²t²}.

b)  Prob(2X1 ≤ X2 + X3) = Φ(-2/√6).

c) the moment-generating function of the distribution of s²/σ².

(a) Moment generating function of Y= X1+X2-2X3:

Firstly, consider X1, X2, and X3 as independent random variables such that each follows the Normal distribution with mean µ and variance σ², and the moment generating function of each is given by M(t) = exp{µt + (1/2)σ²t²}.

Given Y = X1 + X2 - 2X3

Then, the moment generating function of Y can be written as follows:

M_Y(t) = M_X1(t) * M_X2(t) * M_X3(-2t)M_Y(t) = exp{µt + (1/2)σ²t²} * exp{µt + (1/2)σ²t²} * exp{-2µt + 2σ²t²}

M_Y(t) = exp{[µt + (1/2)σ²t²] + [µt + (1/2)σ²t²] + [-2µt + 2σ²t²]}M_Y(t) = exp{-µt + 3σ²t²}

Hence, the moment generating function of Y = X1 + X2 - 2X3 is M_Y(t) = exp{-µt + 3σ²t²}.

(b) Prob(2X1 ≤ X2 + X3) :

Given, X1, X2, and X3 be independent normal random variables with mean µ and variance σ².The probability that 2X1 ≤ X2 + X3 is to be calculated.

To simplify the calculation, we can transform the given inequality as follows:(2X1 - X2 - X3) ≤ 0

Now, consider the random variable Z = 2X1 - X2 - X3By doing this, we get the new random variable Z which is also a normal distribution as follows:

Z ~ Normal(2µ, 6σ²)

The probability that Z ≤ 0 can be calculated by standardizing Z as follows:

Z ≈ Normal(0, 1)Z- (2µ)/(√(6)σ) ≈ Normal(0, 1)

P(Z ≤ 0) = P((Z- (2µ)/(√(6)σ)) ≤ (0- (2µ)/(√(6)σ)))

The probability can be calculated using the standard Normal distribution as follows:

P(Z ≤ 0) = Φ(-2/√6)

Therefore, Prob(2X1 ≤ X2 + X3) = Φ(-2/√6).

(c) Distribution of s²/σ² where s² is the sample variance:It is given that X1, X2, .... Xn are independent random variables, each following a Normal distribution with mean µ and variance σ².

Consider the sample of size n taken from the given population. Then, the sample variance is given by the formula:s² = ∑(Xi - X-bar)² / (n-1)

Here, X-bar is the sample mean of the sample of size n from the given population.Using this, we can find the distribution of s²/σ².

Let t be the random variable such that t = (n-1)s²/σ².The distribution of the sample variance s² is a chi-square distribution with (n-1) degrees of freedom.

The moment-generating function of a chi-square distribution with ν degrees of freedom is given by:(1-2t)⁻⁽ᵛ/²⁾, for t < 1/2

Using this, we can find the moment-generating function of t as follows:

t = (n-1)s²/σ² => s² = tσ²/(n-1)

Substituting the value of s² in the above equation gives:s² = tσ²/(n-1) => (n-1)s²/σ² = tThe moment-generating function of t is given as follows:

M(t) = (1-2t)⁻⁽ⁿ⁻¹/²⁾ ,  for t < 1/2

By using this and substituting t = (n-1)s²/σ², we get:

M((n-1)s²/σ²) = (1-2(n-1)s²/σ²)⁻⁽ⁿ⁻¹/²⁾ , for s² < (σ²/2(n-1))

This is the moment-generating function of the distribution of s²/σ².

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Answer:

Step-by-step explanation:

The rising time of a star depends on its right ascension and the latitude of the observer.

In this case, since both stars have the same declination, their altitude above the horizon at any given time will be the same. Therefore, the star with the smaller right ascension will rise first.

Since star A has a right ascension of 5h and star B has a right ascension of 2h, star B will rise first. This is because the Earth rotates from west to east, causing the stars to appear to move from east to west in the sky. As a result, stars with smaller right ascensions will appear to rise earlier in the east than those with larger right ascensions.

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The percentage of the students who wore a silly hat is 64 %.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.

We have to determine the percentage of the students who wore a silly hat

The total number of students = 64 students wore silly hats and 36 students did not.

The total number of students = 64 + 36 = 100

We have to determine the percentage of the students who wore a silly hat

The percentage of the students wore a silly hat = (64/ 100) × 100

The percentage of the students wore a silly hat = 0.64 × 100

The percentage of the students wore a silly hat = 64 %

Thus, the percentage of students who wore silly hats is 64 %.

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Answer:

x = 9

Step-by-step explanation:

Since line EC is half of line AC, we know that EC + EC = AC, since two halves of something make it a whole.

So do the equation EC + EC = AC

2x + 11 + 2x + 11 = 8x - 14

Combine like terms.

4x + 22 = 8x - 14

Bring the -14 over to the other side of the equal (=) by adding -14 to 22 to get 8x alone.

4x + 36 = 8x

Bring the 4x over to the right side of the equal sign by subtracting 4x from 8x in order to get 36 alone and x value alone.

36 = 4x

Now divide both sides by 4x to get x entirely alone.

36/4 = 9

4x/4 = x

9 = x

Flip (if you want, I just prefer to).

x = 9

Done :)

Answer:

4. perimeter = 232cm

area = 1600cm²

5. perimeter = 30m

width = 8m

Step-by-step explanation:

Perimeter is the sum of the all the sides of a figure.

Area is given as length times breadth

message me for the rest of the answers and explanation

Answer:

LMJ and NMO

Step-by-step explanation:

Think of it as an X, top and bottom are vertical, and so are both sides together.

Answer:

LKJ and NMO

Step-by-step explanation:

Vertical angles are formed from the same lines and are opposite each other

LKJ and NMO are formed from the same lines and are opposite each other

Answer:

x = \(\frac{3+\sqrt{105} }{8} , \frac{3-\sqrt{105} }{8} x=1.655,-0.905\)

Step-by-step explanation:

3x+6 = 4x^2

4x^2 -3x -6 = 0

x = \(\frac{3+\sqrt{105} }{8} , \frac{3-\sqrt{105} }{8} x=1.655,-0.905\)

The Correct option will be D in accordance to positive and negative association.

What exactly are positive and negative associations in a variable?

Positive association:-

When the values of one variable tend to grow when the values of the other variable increase, there is a positive relationship between the two variables.

Negative association:-

A negative connection exists between two variables when the values of one variable tend to drop as the values of the other variable increase.

Now,

From given options D represents the correct difference between the negative and positive association of two variables.

hence,

          The Correct option will be D.

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Answer:

Step-by-step explanation:

\(\cos ~A=0.5=cos~60 \\A=60^\circ\\B=180-A=180-60=120\\\angle~B=120^\circ\)

Step-by-step explanation:

Let us assume that after X years, the woman 's age will be Twice of that of her daughter's age.

Then,

2 * ( 15 + x ) = ( 43 + x )

30 + 2x = 43 + x

X = 13 years

Therefore, after 13 years the woman will be twice as old as her daughter.

Answer:

8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,168,176,184,192

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96

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Answer:

6,12,18,24,30,36,42,48,54,60,66,72

8,16,24,32,40,48,56,64,72,80,88,96

Step-by-step explanation: hope i helped

Answer:

h(x) = 2x² - 2x - 8

Step-by-step explanation:

Step 1: Write out equation

h(x) = 2(x + 1)(3x - 4)

Step 2: FOIL

h(x) = 2(x² - 4x + 3x - 4)

Step 3: Combine like terms (x)

h(x) = 2(x² - x - 4)

Step 4: Distribute

h(x) = 2x² - 2x - 8

Answer:

see explanation

Step-by-step explanation:

to find the intersection equate g(x) and h(x) , that is

(x + 7)(x - 5) = x - 5 ← expand left side using FOIL

x² + 2x - 35 = x - 5 ( subtract x - 5 from both sides )

x² + x - 30 = 0 ← in standard quadratic form

(x + 6)(x - 5) = 0 ← in factored form

equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 5 = 0 ⇒ x = 5

substitute these values into either g(x) or h(x) for corresponding values of y

substituting into h(x)

h(- 6) = - 6 - 5 = - 11 ⇒ (- 6, - 11 )

h(5) = 5 - 5 = 0 ⇒ (5, 0 )

Answer:

6.4 (x 1+2)

24x3

Step-by-step explanation:

bold word is your answer

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Bye

Answer: Commutative property of addition

The order doesn't matter when it comes to adding.

The general rule can be written as x+y = y+x.

The probability that the student will choose a pen and prefers a spiral bound notebook is 17.3%.

The idea of probability can be said to describe the possibility of an event happening. We frequently have to make forecasts about the future in real life. We may or may not be aware of the outcome of an event. When this happens, we declare that there is a chance the event will take place.

Using the probability formula, one can determine the likelihood of an event by dividing the favorable number of possibilities by the total number of options. Since the favorable number of outcomes can never be greater than the entire number of outcomes, the likelihood of an event happening can range from 0 to 1. As a result, 0 cannot represent the percentage of successful outcomes.

Here in the question,

Total no. of students in the school are 150.

Students choosing a pen along with spiral bound notebook = 26

Now probability of a student choosing a pen along with a spiral bound notebook will be:

P = 26/150

= 0.1733

= 17.3%

Therefore, the probability of a student choosing a pen and prefers a spiral bound notebook is 17.3%.

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The complete question is:

Statistics

Benson, Ra'Niyah

Pen

Pencil

Total

Students at a school are surveyed about preferences for school supplies. The table shows the results.

Loose-leaf Notebook Spiral-bound Notebook

O 26.7%

O 39.4%

O 41.9%

40

48

88

Calculator

26

36

62

00

Total

66

84

150

1 of 10

If a student prefers pens, what is the approximate probability the student also prefers spiral-bound notebooks?

O 17.3%

New Tab

HOW MY M

2 3

Answer:   y = (1/2)x-2

This is the same as y = 0.5x-2

Slope = 1/2 = 0.5

Y intercept = -2

========================================================

Work Shown:

Compare the equation to y = mx+b to find that m = -2 is the slope.

Think of -2 as -2/1. Flip the fraction to get -1/2. Then flip to positive getting 1/2.

The original slope is -2. The perpendicular slope is 1/2 = 0.5

We'll use this perpendicular slope alone with (x,y) = (-4,-4) to get the following for b

y = mx+b

-4 = 0.5*(-4) + b ... plug in the m,x, and y values mentioned above

-4 = -2 + b

-4+2 = b ... adding 2 to both sides

-2 = b

b = -2

Since m = 0.5 and b = -2, we go from y = mx+b to y = 0.5x-2

This is the same as y = (1/2)x-2 since 1/2 = 0.5