AABC = AGMN

mzA = 35°, m_M = 4x + 5°, m N = 6x, Find x

Answer:

0.5904

Step-by-step explanation:

For each number, there are only two possible outcomes. Either it is in the 20s, or it is not. The probability of a number being in the 20s is independent of other numbers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

4 generated numbers:

This means that [tex]n = 4[/tex]

Probability of a number in the 20s:

From 1 to 50, there are 50 numbers. Of those(from 20 to 29), there are 10 in the 20s. So [tex]p = \frac{10}{50} = 0.2[/tex]

What is the probability that at least one of the first 4 generated numbers is in the 20s?

Either none is, or at least one is. The sum of the probabilities of these events is 1. So

[tex]P(X = 0) + P(X \geq 1) = 1[/tex]

We want [tex]P(X \geq 1)[/tex]. So

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = 0) = C_{4,0}.(0.2)^{0}.(0.8)^{4} = 0.4096[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.4096 = 0.5904[/tex]

Answer:

351.5625 ft squared

Step-by-step explanation:

First multiply 15 times 15 and get 225, then divide this by 12 and you will get 18.75 now muliply it by 18.75 and you will get 351.5625.

Alright Hope It Helps This Time.

Answer:

[tex]\dfrac{x^3-2x^2+4x-3}{x-2}[/tex]

Step-by-step explanation:

The given equation is :

[tex]x^2+\dfrac{4x-3}{x-2}[/tex]

We need to decompose this equation.

We have,

[tex]x^2+\dfrac{4x-3}{x-2}\\\\=\dfrac{x^2(x-2)+4x-3}{x-2}\\\\=\dfrac{x^3-2x^2+4x-3}{x-2}[/tex]

So, [tex]\dfrac{x^3-2x^2+4x-3}{x-2}[/tex] is the decomposed form of the given expression.

Step-by-step explanation:

So we just need to complete the table

So we need the next three x digits which is

[tex]\frac{8}{5}, \frac{12}{5}, \frac{16}{5}[/tex]

Next y digits would be

[tex]\frac{2}{2}, \frac{3}{2}, \frac{4}{2}[/tex]

Hope This Helped!!

(Just fill out the x rows with the next x digits and the y rows with the next y digits)

Answer:

$8564.86 to nearest cent.

Step-by-step explanation:

Investment after 15 years = 2700(1 + 0.08)^15

= 8564.856608.

Answer:

47.5% of these led lights have lifetime between 7.9 and 8.9 hours.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.9 hours

Standard deviation = 0.5 hours

The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.

Lifetime between 7.9 and 8.9 hours:

7.9 hours is the mean.

8.9 = 7.9 + 2*0.5

So 8.9 hours is two standard deviations above the mean.

Of the 50% of the measures that are above the mean, 95% are between the mean of 7.9 and two standard deviations above the mean(8.9). So

0.5*0.95 = 0.475

47.5% of these led lights have lifetime between 7.9 and 8.9 hours.

Answer:

13.5

Step-by-step explanation:

5.5+8=13.5

Answer: 6,987,000 pounds fo CO₂ per kWh.

Step-by-step explanation: Quilowatt-hour (kWh) is a unit of energy that measures the amount of energy expended in 1 hour.

The AC uses 850 Watts, which in kW is 850,000 kW

If you leave the AC on for 6 hours, it will consume

850,000(6) = 5,100,000 kWh

Eletricity produces 1.37 pounds of CO₂ per kWh, then in 5,100,000 kWh:

1.37 [tex]\frac{pounds}{kWh}[/tex].(5,100,000kWh) = 6,987,000 pounds

If you open a window for 6 hours, you would keep 6,987,000 pounds of CO₂ for entering the atmosphere.

Answer:

7

Step-by-step explanation:

8 - 1 = 7

thank, 5 star, brainliest if helpful!

Answer:

A, 6x

Step-by-step explanation:

The graph is positive and is increasing at such a rate 1/6x doesn't work

Answer:

(-3)^4

Step-by-step explanation: We just have to evaluate

So, the only expression that exceeds 4^3 is (-3)^4:

Answer:

y = - 3/2x - 2

Step-by-step explanation:

that would be the correct answer happy 2 help

Answer:

If the price increase happens, your order would be $50.4.

Step-by-step explanation:

To be able to determine how much would the order be if the price increase happens, first you have to calculate 12% of the normal price per order:

$45*12%=$5.4

Then, you have to add $5.4 that is the amount of the increase plus the normal price per order:

$5.4+$45=$50.4

According to this, the answer is that if the price increase happens, your order would be $50.4.

Answer:

Step-by-step explanation:

If a point is dilated by a scale factor 'k' centered at the origin,

Coordinates of the image point becomes as,

(x, y) → (kx, ky)

By this rule,

Coordinates of the vertices of the image triangle, when preimage is scaled by a factor of 5 about the origin will be,

T(-1, -2) → T'(-5, -10)

U(2, -2) → U'(10, -10)

V(-1, 1) → V'(-5, 5)

Answer:

vsdfvbfbxfvfbfsdcvdsvdv

Step-by-step explanation:vdsv

bfbfxdbvcbcvbdfbvdsvdsvdsvds

Answer:

d=4.73913043 or d=4.74 rounded

Step-by-step explanation:

Answer:

4.1935483871km

Step-by-step explanation:

Distance to and back = 1.3 miles *2 = 2.6miles

To convert kilometres to miles, multiply by 0.62. Therefore, to convert from miles to kilometres, divide by 0.62.

2.6/0.62=4.1935483871km

Answer:

50 dollars per month

Step-by-step explanation:

Given

[tex]Months = 2[/tex]

[tex]Total = 170[/tex]

[tex]Initial = 70[/tex]

Required

Determine the rate of savings

Suppose in a month, she saves x amount.

In 2 months, she would save 2x

When 2x is added to the initial savings, it gives the total amount saved.

So, we have:

[tex]2x + 70 = 170[/tex]

Collect Like Terms

[tex]2x = 170 - 70[/tex]

[tex]2x = 100[/tex]

Divide both sides by 2

[tex]x = \frac{100}{2}[/tex]

[tex]x = 50[/tex]

Hence, she saves $50 dollars monthly

Answer:

The total cost of the TV with sales tax included is $864.

Step-by-step explanation:

In order to find the the total cost of the TV with sales tax included, you have to calculate the 8% of the listed price and add this amount to the price:

$800*8%=$64

$800+$64=$864

According to this, the answer is that the total cost of the TV with sales tax included is $864.

Answer:

46-55i

Step-by-step explanation:

Answer:

$788.05 is the value after 7 years. it would take 17 years to triple in value.

Answer:

A is neither, B is direct, and C is inverse

Step-by-step explanation

In B, as x increases y also increases, in C as x increases y decreases, and in A it's neither because it's not one line (if you graphed it you would understand what I mean).  Though I have no idea what is constant of variations.

Answer:

4/8 is greater than 2/10

Step-by-step explanation:

4/8=.50

2/10=.20

Answer:

4/8 > 2/10

Step-by-step explanation:

because 4/8 also equals 1/2 and 2/10 equals 1/5 so 4/8 is bigger than 2/10

Answer:

2/5 - 1/4 = 8/20 - 5/20 = 3/20

(3/20)t = 24

t = 160

160 cm3

Step-by-step explanation:

Answer:

2/5-1/4=8/20-5/20=3/20

Step-by-step explanation:

3/20/t=24

t=160

Complete question

A scientist is at spot that has An angle elevation of 25.4' top 223 foot all observation. How far is the scientist from the base of the observatory

Answer:

[tex]X\approx469.64[/tex]

Step-by-step explanation:

From the question we are told that

Angle of elevation   [tex]\theta= 25.4'[/tex]

Height  [tex]H=223[/tex]

Generally the equation for the Distance X is mathematically represented as

  [tex]X=\frac{H}{tan\theta}[/tex]

  [tex]X=\frac{223}{tan 25.4\textdegree}[/tex]

  [tex]X=469.6369092[/tex]

  [tex]X\approx469.64[/tex]

Therefore the distance is

  [tex]X\approx469.64[/tex]

Answer: You didn’t add an image?

Step-by-step explanation: What do you mean??

Answer:

A. 7 over 36

Step-by-step explanation:

One ninth =1/9

One twelfth = 1/12

1/9+ 1/12= 12+9/108

= 21/108

We can then reduce the fraction to the lowest denominator by dividing the numerator and denominator by 3

That will result in 7/36