A national math competition advances to the second round only the top 5% of all participants based on scores from a first round exam. Their scores are normally distributed with a mean of 76. 2 and a standard deviation of 17. 1. What score, to the nearest whole number, would be necessary to make it to the second round? To start, determine the z-value that corresponds to the top 5%

The probability that it will snow at least once during the next three days is $\frac{26}{27}$.

To find the probability that it will snow at least once during the next three days, it is easier to first calculate the probability that it will NOT snow at all in those three days and then subtract that value from 1.

The probability of no snow for one day is 1 - $\frac{2}{3}$ = $\frac{1}{3}$.

For three days, the probability of no snow on all three days is the product of the individual probabilities:
($\frac{1}{3}$) * ($\frac{1}{3}$) * ($\frac{1}{3}$) = $\frac{1}{27}$.

Now, to find the probability of it snowing at least once during those three days, subtract the probability of no snow on all three days from 1:

1 - $\frac{1}{27}$ = $\frac{26}{27}$.

So, the probability that it will snow at least once during the next three days is $\frac{26}{27}$.

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The statistical test in which the mean difference between two groups is compared to a distribution of differences between means is known as the t-test.

The one-way analysis of variance (ANOVA) is the suitable procedure in place of the t-test for a comparison of more than two group means. The ANOVA is interested in the locations of the distributions indicated by means as well since it has the same underlying assumptions as the t-test.

ANOVA is used to compare the means among three or more groups, while the Student's t-test is used to compare the means between two groups. First receives a shared P value in an ANOVA. The ANOVA test results with a significant P value for at least one pair where the mean difference was statistically significant.

From the above theory, the test specified above is termed as the t-test.

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The exponential model has an initial value of 3

The exponential model of the data is f(x) = 3 * (1.2)^x

From the complete question,we have the following parameters:

The exponential model is then calculated as:

f(x) = a * (1 + r)^x

Substitute known values

f(x) = 3 * (1 + 0.2)^x

Evaluate the sum

f(x) = 3 * (1.2)^x

Hence, the exponential model of the data is f(x) = 3 * (1.2)^x

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Answer:

f(x)=3(0.2)^x

Step-by-step explanation:

When x=0

f(0)=3

When x =1

f(1)=0.6

3 x 1.2 =3.6,  3 x 0.2=0.6

So then I just chose f(x)=3(0.2)^x and I got it correct on the quiz :)

Answer:

its D

Step-by-step explanation:

just took the quiz

The undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) as a point. Therefore, option D is the correct answer.

We need to identify the undefined geometric term from the options.

There are three undefined terms in geometry :

1) point 2) line 3) plane

A point has zero dimension and it is used to locate a figure on a coordinate plane.

The location of the figure is represented by a point in the form of ordered pairs (x,y), on the coordinate plane where x= abscissa and  y= ordinate.

A line is the one-dimensional straight indefinite path on the plane that has no width.

A plane is a two-dimensional flat surface that extends up to infinity.

Therefore, option D is the correct answer.

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The probability that the first candy selected is butterscotch and the second candy is taffy can be calculated as the product of the probabilities of these two events occurring.

First, let's calculate the probability of selecting a butterscotch candy as the first candy. There are 9 butterscotch candies out of a total of 15 candies, so the probability is 9/15.Next, for the second candy to be taffy, we need to consider that one butterscotch candy has already been selected and removed from the box. Therefore, there are 14 candies remaining in the box, including 2 taffy candies. Hence, the probability of selecting a taffy candy as the second candy is 2/14.

To find the probability of both events occurring, we multiply the probabilities together: (9/15) * (2/14) = 18/210.Simplifying this fraction, we get 3/35.Therefore, the probability that the first candy selected is butterscotch and the second candy is taffy is 3/35, which is approximately 0.086 or rounded to three decimal places.

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Answer:

how u love me and u dont even kno me

Answer:

Thank you.

Step-by-step explanation:

I'll press thank you on your account. I'm 14 btw too. 15 in Jan.

Answer:

V = (4/3)π(4^3) = 256π/3 cubic units

Answer:

4000 cm^3

Step-by-step explanation:

Note that no image was attached for reference purposes

Step one:

We are given that the original length and width of the cube is 20cm

if the cut part is 10cm

hence the dimension of the cut part is

lenght = 20cm

Width= 20cm

Hieght= 10cm

Step two:

the volume of the cut part will be

Volume= 20*20*10

Volume= 4000 cm^3

Answer:

Step-by-step explanation:

It's d credit to the person who said it

The best way to rewrite the quantity 8.2 x 10^ -7 m, using more appropriate units is D.) 8.2 x 10⁻⁴ kilometer

The process of changing the value of one form to another is called conversion. It doesn't affects the value, it simply converts one form to another.

Now it is given that,

Width of a speck of dust = 8.2 x 10⁻⁷ m

Since, 1 kilometer = 1000 meters = 10³ meters

Therefore, 8.2 x 10⁻⁷ m = 8.2 x 10⁻⁷ x 10³ kilometer

⇒ 8.2 x 10⁻⁷ m = 8.2 x 10⁻⁷⁺³ kilometer

⇒ 8.2 x 10⁻⁷ m = 8.2 x 10⁻⁴ kilometer

Thus, the best way to rewrite the quantity 8.2 x 10^ -7 m, using more appropriate units is D.) 8.2 x 10⁻⁴ kilometer

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Answer:

What square ?

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Answer:

The rate of each train is 74 miles per hour and 90 miles per hour respectively.

Step-by-step explanation:

Given;

distance between the two trains, d = 492 miles

total time traveled by each train before meeting the other, t = 3 hours

Let the speed for the first train = p

Let the speed for the second train = q

Assuming the first train is 16 mph slower than the second train, then;

q = p + 16

Distance = speed x time

492 miles = (p + q) x 3

492 = 3p + 3q

but, q = p + 16

492 = 3p + 3(p + 16)

492 = 3p + 3p + 48

492 - 48 = 6p

444 = 6p

p = 444 / 6

p = 74 miles per hour

q = 74 + 16

q = 90 miles per hour

Therefore, the rate of each train is 74 miles per hour and 90 miles per hour respectively.

Given:

The functions are:

\(f(x)=\log_4x\)

\(g(x)=f\left(\dfrac{1}{3}x\right)\)

The function f(x) is dilated to become g(x).

To find:

The effect on f(x).

Solution:

Transformation is defined as:

\(g(x)=f(kx)\)            ...(i)

Where, k is the factor of horizontal stretch and compression.

If 0<k<1, then the graph of f(x) stretched horizontally by factor \(\dfrac{1}{k}\).

If k>1, then the graph of f(x) compressed horizontally by factor \(\dfrac{1}{k}\).

It is given that

\(g(x)=f\left(\dfrac{1}{3}x\right)\)          ...(ii)

On comparing (i) and (ii), we get

\(k=\dfrac{1}{3}\)

Therefore, the graph of f(x) stretched horizontally by factor \(3\).

Answer:

-16

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

-

Answer:

I think the answer is 24

Step-by-step explanation:

hope its helpful

Answer: The answer is A, 132 units

Step-by-step explanation:

Answer:

1,331in^3

Step-by-step explanation:

Point D is not the centroid of the triangle , Option D is the right answer

The image is attached with the answer.

The complete question is

Based on the diagram, can point D be the centroid of triangle ACF? Explain.

Yes, point D is the point of intersection of segments drawn from all three vertices.

Yes, DE is three-quarters of the length of the full segment.

No, DE should be longer than AD.

No, the ratio between AD and DE is 3:1.

The point where all the medians meet is the centroid of the triangle , the centroid divides all the median in the ratio of 2:1

If D be the centroid of the triangle , then the ratio of AD:DE should be 2:1

AD = 12

DE = 4

Therefore the ratio is 12:4 = 3:1

Therefore Option D is the right answer , and D is not the centroid of the triangle

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Answer:

x =65

Step-by-step explanation:

You see it is very hard

2 S V II T U

3 S T II V U

7 Definition of parallel lines

8 A parallelogram has two sets of parallel lines. The shape in the picture has two sets of parallel lines, therefore the shape is a parallelogram

Answer:

sixt

Step-by-step explanation:

thats easy the sin should be six

(-5,0)

Step-by-step explanation:

Numbers that lie on the x and y axis

Answer:

uihuvbuh ufsghiusgu 8y39 8y3yy894y87y48jhfjhjbvhjjavjlh ailhli

Step-by-step explanation:

Step-by-step explanation:

To  do this equation, we could put it in terms of algebra, lets say the large chocolate bars are represented by L and the small bars by S

April

4S + 6L = $16.50

Bill

4S + 3L = $11.25

Looking at this, we can see that the difference between the two purchases is that Bill bought three less large chocolate bars, this means the difference in total cost equals three large chocolate bars. Using this knowledge.

$16.50 minus $11.25 = $5.25

$5.25 = Three Large Bars

Divide this by three to get the cost of one large bar.

$1.75 is the cost of one single large bar.

Answer:

April: 4x+6y=16.5

Bill: 4x+3y=11.25

solving the two equations simultaneously will give you y=1.75

Answer:

the sq root of m6 is m3

Step-by-step explanation:

The square root of m6 = √ (m6) = (m6)1/2

= m[6 × (1/2)] → multiplying exponents

= m3

Answer:

m^(3)

Step-by-step explanation:

To find the square root of \(m^{6}\), you can use the rule that the square root of \(x^{n}\) is equal to \(x^{n/2}\).

In this case, x = m and n = 6, so the square root of \(m^{6}\) is equal to \(m^{6/2}\) = \(m^{3}\). This means that the square root of \(m^{x}\) is \(m^{3}\).

The vertical difference between a stair tread nosing and any structure or ceiling above the stairway is known as the "headroom" or "clearance."

Headroom refers to the vertical space between the nosing of a stair tread (the front edge of the step) and any overhead structure or ceiling above the staircase. It is an important consideration in stair design to ensure safe and comfortable passage for individuals using the stairs.

Sufficient headroom allows people to navigate the staircase without bumping their heads or feeling confined. Building codes typically specify minimum headroom requirements to ensure safety and to prevent accidents. Adequate headroom is essential to provide a clear and unobstructed pathway for individuals moving up or down the stairs.

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Answer:

5

Formula :√( (x2 - x1)² + (y2 - y1)² )

√(6-2)² + (-4--1)²

√4² + (-3)²

√16+9

√25

5

All of the zeros of f(x) algebraically is 3.

What is  rational root theorem?

Mathematics has established the rational root theorem, sometimes known as the rational zero theorem. It states that if a polynomial's coefficients are integers, one may discover all rational roots by dividing each constant term factor by each leading coefficient factor.

\($$\begin{aligned}& \text { For } f=x^3+9 x^2-12 x-20 \text { substitute } x \text { with }-10 \\& =(-10)^3+9(-10)^2-12(-10)-20\end{aligned}$$\)

Simplify (-10)^3+9(-10)^2-12(-10)-20: 0

=0

x^3+9 x^2-12 x-20

Use the rational root theorem

=(x+1) \frac{x^3+9 x^2-12 x-20}{x+1}

\(\begin{aligned}& \frac{x^3+9 x^2-12 x-20}{x+1}=x^2+8 x-20 \\& =(x+1)\left(x^2+8 x-20\right)\end{aligned}\)

\(\begin{aligned}& \text { Factor } x^2+8 x-20: \quad(x-2)(x+10) \\& =(x+1)(x-2)(x+10)\end{aligned}\)

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Answer:

parallel

y= -5x + 19

perpendicular

y= (1/5)x + 17/5

Step-by-step explanation:

yeah-ya......... right?