Individual bottles of water are filled by a machine at a factory with an amount of water that is approximately normal with a mean of 505\,\text{mL}505mL505, start text, m, L, end text and a standard deviation of 10\,\text{mL}10mL10, start text, m, L, end text. A random sample of 161616 bottles is selected for a quality inspection. What is the probability that the mean amount of water in these 161616 bottles \bar x x ˉ x, with, \bar, on top is within 5\,\text{mL}5mL5, start text, m, L, end text of the population mean?

Answer:

the answer is d (x+4)^2/9 - (y-1)^2/25

Step-by-step explanation:

its correct on edge

The standard form of the given equation is [tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Begin by grouping the x terms together and the y terms together, and getting the constant on the other side of the equals sign:

25x² +200x - 9y² +18y = -166

Now we need to complete the square on the x terms and the y terms. Do this by first factoring out the leading coefficient from each, the 25 from the x's and the 9 from the y's:

25(x² +8x) - 9 (y² +2y) = -166

Now take half the linear term in each set of parenthesis, square it, and add it to both sides, remembering the multiplier outside (the 25 and the 9). Our x linear term is 8. Half of 8 is 4, and 4 squared is 16, so we add a 16 into the parenthesis with the x's; our y linear term is 2. Half of 2 is 1 and 1 squared is 1, so we add a 1 into the parenthesis with the y's:

25(x² +8x + 16)-9(y²+2y +1) = -166+400-9

Note the 400 and -9 on the right side now. 25 times 16 is 400; we didn't just add in a 16, we have to multiply the scalar number into it before we know what we really added in. And the -9 comes from multiplying the -9 times 1.

The reason we do this is to get the perfect square binomials on the left that we created while completing the square:

25(x+4)² - 9 (y+1)²= 225

Now, finally, we will divide both sides by 225 to get this conic into the standard form:

[tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]

This is a hyperbola with a horizontal transverse axis and a center of (-4, -1). The reason we know it's not an ellipse is because an ellipse will always have a + sign separating the x-squared from the y-squared whereas a hyperbola always has a - sign separating them. And we also know it's not a circle because the values of the leading coefficients weren't the same.

Therefore the standard form of the given equation is[tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]

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Answer:

A

Step-by-step explanation:

Answer:

89.4

Step-by-step explanation:

Okay well if  149=100% and there is a 40% we just have to find 60% and to do that we just multiply 149 by 0.60 to get 89.4

149*0.60=89.6

Answer:

common ratio =r=3

Step-by-step explanation:

Answer:

−4194304

Step-by-step explanation:

Answer:

I cant see that pdf you attached maybe tell me what questoin you are asking?

Answer:

7 x 2 = 14   or even  7 x 4 / 2 = 14

Step-by-step explanation:

Answer:

a) 12×6=72 cm²

b) 3x6:2= 9 cm²

c) 3x6:2=9 cm²

d) 72-9-9= 54 cm²

Answer:

2 m

Step-by-step explanation:

8-3-3=2

Answer:

0.9803 = 98.03% probability that not more than 650 parents will attend the graduation ceremony.

Step-by-step explanation:

To solve this question, we need to know the Poisson and the normal distribution.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval. The standard deviation is the square root of the mean.

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

The Poisson distribution can be approximated to the normal with same means, and [tex]\sigma = \sqrt{\mu}[/tex]

1/3 of the graduating seniors at a certain college have two parents attend the graduation ceremony, another third of these seniors have one parent attend the ceremony, and the remaining third of these seniors have no parents attend.

There are 600 graduating seniors. This means that the expected number of parents attending the ceremony is given by:

[tex]\mu = 600*(2*\frac{1}{3} + 1*\frac{1}{3} + 0*\frac{1}{3}) = 600(\frac{2}{3} + \frac{1}{3}) = 600(1) = 600[/tex]

And

[tex]\sigma = \sqrt{600}[/tex]

What is the probability that not more than 650 parents will attend the graduation ceremony?

Using continuity correction, as Poisson is a discrete distribution while the normal is continuous, this is [tex]P(X \leq 650 + 0.5) = P(X \leq 650.5)[/tex], which is the pvalue of Z when [tex]X = 650.5[/tex]. So

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

[tex]Z = \frac{650.5 - 600}{\sqrt{600}}[/tex]

[tex]Z = 2.06[/tex]

[tex]Z = 2.06[/tex] has a pvalue of 0.9803.

0.9803 = 98.03% probability that not more than 650 parents will attend the graduation ceremony.

Answer:

D. A positively charged beryllium ion

This image represents A positively charged beryllium ion.

We have given that,

He 4 Protons e 5 Neutrons = 2 Electrons

A. A negatively charged beryllium ion

B. A neutral boron atom

C. A neutral beryllium atom

D. A positively charged beryllium ion​.

We have to determine, Based on information from the periodic table what does this image represent?

A table of the chemical elements arranged in order of atomic number, usually in rows, so that elements with similar atomic structure (and hence similar chemical properties) appear in vertical columns.

This image represents A positively charged beryllium ion.

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Answer:

B and C

Step-by-step explanation:

A, when x = 0, y = 5

B, when x = 4, y = 3

C, when x = 12, y = -1

D, when x = 1, y = 9/2

Answer:

there answer is either a or c

Equation C represents circle A.Option C is correct.

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

The generalized equation of the circle with the coordinate(h,k) and radius r is;

(x-h)²+ (y-k) =r²

After graphing each and every equation given in the options we will come to the conclusion that equation c satisfies the given circle as;

(x-4)²+ (y-(-5)) =6²

(x-4)²+ (y-(-5)) =36

Hence option C is correct.

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Answer:

$5250

Step-by-step explanation:

multiply the cost by the number of people

Answer:

The answer is 5250

Step-by-step explanation:

Add 20 plus ten which is thirty then multiply that buy 175 which is 5250$

Answer:

It would be C

Step-by-step explanation:

I have done this before!

Answer:

d=-3

Step-by-step explanation:

d3+27=0

Step 1: Subtract 27 from both sides.

d3+27−27=0−27

d3=−27

Step 2: Take cube root.

d=(−27)(

1

3

)

d=−3

Answer:

A. Cos θ = 16/42

Step-by-step explanation:

The angle the ladder makes with the floor = θ

Hypotenuse = length of the ladder = 42 m

Adjacent = Distance from the bottom of the ladder to the wall = 16 m

Therefore to find θ, we would apply the trigonometric function, CAH:

Cos θ = adj/hyp

Which is:

Cos θ = 16/42

Answer:

X = 40

Step-by-step explanation:

All interior angles of a triangle equal to 180, and since we know the other two measures we can simply subract them from 180 to get the value of x

180-50-90= 40

Answer:

The answer is 40

Step-by-step explanation:

Answer:

g = 380

Step-by-step explanation:

200 = g - 180

You add 180 to both sides

200 + 180 = g

380 = g

Hope that helps!

Step-by-step explanation:

12 months with $60 every 3 months is $240

then add $28 "per month after that"

Answer:

B. There is no solution; x and y are eliminated and you get the false statement 0 = 20.

Step-by-step explanation:

According to the elimination method, the two equations are

y + 3x = 10

−y − 3x = 10

If we solve it

0 = 20

As x and y would be eliminated due to positive and negative signs

Therefore the option b is correct

Answer: 1,4,6

Step-by-step explanation:

https://quizlet.com/483245104/geometry-parallelogram-quiz-flash-cards/

Answer:

It is to represent the area of the park.

Step-by-step explanation:

The length and width of the park would be inches, miles, or meters to describe the linear aspect of the park.

If the park was, for example, 2 miles long and 3 miles wide, you would say the park is 6 miles squared. This is to describe the square area of the park. Square units could be replaced by squared acres, miles, or meters depending on the size of the park. This is to represent the area of the park.

Answer:

B, C,E

Step-by-step explanation:

I got it right on Edge2021

Answer:

Option -c  :5^ -12  .  2^ 40

Step-by-step explanation:

(  5^6 . 2^8    )( 5^-2  . 2^5 )

(  5^6 . 5^-2  )   ( 2^8  . 2^5 )

5^ -12  .  2^ 40

Option -c :  5^ -12  .  2^ 40

I hope im right!!  

And the answer is : 4m+m=180.

Do hope you will find it helpful!

Step-by-step explanation:

Answer

hmm

Step-by-step explanation:

Answer:Can u explain more i odnt understand it pelase

Step-by-step explanation:

Answer:

1) 5

2) 7

3) Mary

Step-by-step explanation:

1) 20/4 = 5 shots

20 shots = 4 minutes

10 shots = 2 minutes

5 shots = 1 minute

2) 42/6 = 7 shots

42 shots = 6 minutes

21 shots = 3 minutes

21 shots divided by 3 minutes equals 7 shots

3) Mary had 7 shots while John only shot 5.