Mrs. Bergstedt teaches four classes. Each class has 15 students. Her first class has 9 juniors, her second class has 12 juniors, her third class has 6 juniors, and her fourth class has 3 juniors. If Mrs. Bergstedt chooses four students at random, what is the probability that exactly two of the students are juniors (rounded to the nearest thousandth)?

Answer:

x = 8

Step-by-step explanation:

Answer: 2b+12

Step-by-step explanation:

Because the number is in front of the bracket you have to times everything in the bracket by the number on the outside.

So,

2 times b is 2b

And

2 times 6 is 12

So it would be 2b+12

Answer:

Solution,

Length(l)=7.2 cm

Breadth(b)=3.1 cm

Height(h)=4.8 cm

Now,

\(surface \: area \: of \: cuboid \\ = 2(l \times b + b \times h + h \times l) \\ = 2(7.2 \times 3.1 + 3.1 \times 4.8 + 4.8 \times 7.2) \\ = 2(22.32 + 14.88 + 34.56) \\ = 2(71.76) \\ = 143.52 \: {cm}^{2} \)

hope this helps...

Good luck on your assignment..

The surface area of cuboid is 143.52 square centimeters whose length is 7.2cm, width is 3.1 cm and height is 4.8 cm.

The formula for surface area of cuboid:

Surface area =  2(l×w + w×h + h×l).

Where l is length,

w is width,

h is height,

l=7.2 cm, w = 3.1cm and h=4.8 cm.

Plug in these values in above formula:

Surface area = 2(7.2×3.1 + 3.1×4.8 + 4.8×7.2)

=2(22.32 + 14.88 + 34.56)

=2(71.76)

=143.52

Hence, the surface area of cuboid is 143.52 square centimeters.

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Answer:

non-linear, y = -6, x = 2 & x = 6, y = 2 & x = 4, above.

Step-by-step explanation:

The graph is not a straight line so that means that it is linear.

The y-intercept is the point at which the function touches the y-axis, which is at the coordinate point (0, -6), so y = -6.

The x-intercepts are the points at which the function touches the x-axis, which is at x = 2 and x = 6.

The highest y value is y = 2, and it happens when x =4.

Between x = 2 and x = 6, the function is above the x-axis line, so that means it must be above 0.

Answer:

2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

Mean Absolute Deviation (MAD): 5

Step-by-step explanation:

Answer:d = rand(20);

figure(1)

imagesc(d)

text(5, 22, sprintf('\\uparrow\nLTO'), 'HorizontalAlignment','center', 'FontWeight','bold')

Step-by-step explanation:

i know

The graph of the function is attached.

A curve that depicts an exponential function is known as an exponential graph. A curve with a horizontal asymptote and either an increasing slope or a decreasing slope called an exponential graph. i.e., it begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates.

Given the graph of function,

The graph of any exponential function is parallel to an  axis and drop and increase show the decay or growth,

since the  equation,

y = -2(3ˣ) + 5

has a negative sign the graph will go down,

y-intercept for the graph is 3,

when x = 0, y = 3

and the graph will be in the fourth quadrant.

Hence the graph will be in the fourth quadrant.

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Answer:

ahhhhhhhhhhh

Step-by-step explanation:

Okay so for the present imagine it as x-3-×=13, then 2x=16, x=8. So the present box represents 8. When applied to the other questions you will find it that the squirrel is 6, the carrot is 2, and the snowman/green question mark is 5.

After considering the given data we conclude that the total number of 4-element subsets that can be generated is 70.

To evaluate the number of 4-element subsets that can be formed from the set {A,B,C,D,E,F,G,H}, we can apply the combination formula:
\(nCr = n! / r!(n-r)!\)
Here,
n = maximum count of elements in the set
r = total count of elements we want to choose.
For the given case, n = 8 (since there are 8 elements in the set) and r = 4 (since we want to choose 4-element subsets).
Placing in these values, we get:
\(nCr = 8! / 4!(8-4)! = 8! / 4!4!\)
\(= (8 * 7 * 6 * 5) / (4 * 3 * 2 * 1) = 70\)
Hence, creation of 70, 4-element subsets that can be formed from the set {A,B,C,D,E,F,G,H}.
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Answer:

The median/middle is 5 and the minimum is 0 and the maximum is 11. The first quartile is 7/5= 1.4 and the second is 4/2 = 2

Step-by-step explanation:

The five number summary for the data set 0,2,2,4,5,5,5,5,7,11 is as minimum value is 0, maximum value is 11, median is 5, first quartile is 2 and second quartile is 5.

The five number summary for the data set provides the basic information of a data set. This consist of minimum value, maximum value, median, first quartile, and second quartile.

The provided data set is,

0,2,2,4,5,5,5,5,7,11

The data is arranged in the increasing order. The minimum value in this number is 0 while the maximum number is 11.

As the middle value of the data is 5. Thus, the median of this number is,

\(m=5\)

The first quartile is the median in the lower half of the data. In this data lower half consist 0,2,2,4,5 which has the median or first quartile as,

\(Q_1=2\)

Similarly, the second quartile is,

\(Q_1=5\)

Thus, the five number summary for the data set 0,2,2,4,5,5,5,5,7,11 is as minimum value is 0, maximum value is 11, median is 5, first quartile is 2 and second quartile is 5.

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Answer:

choice C

Step-by-step explanation:

The circle is circumscribed because circles drawn on the outside is known as circumscription. The circle is clearly outside touching the three vertices of the triangle.

Answer:

(7,-4) ; 12

Step-by-step explanation:

Basically, three corners of a rectangle are already on the graph. If you put a dot at (7,-4), that is the last corner(vertex) that finishes the rectangle

Then to find base of the rectangle, you find the length of the longer side, (the distance between the x coordinates). So you would subtract -5 from 7 and get 12, and 12 is the length of your base.

Answer:

28 - m = 3

28 - 3 = m

25 = m

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Answer:

The equation x²+12x+43=0 is a quadratic equation that can be solved by factoring or using the quadratic formula.

Factoring the equation:

x²+12x+43=(x+7)(x+6)=0

x+7=0 or x+6=0

x=-7 and x=-6

Therefore, the solutions for the equation are x=-7 and x=-6.

Alternatively, you can use the quadratic formula:

x = (-b± √(b²-4ac))/2a

Where a=1, b=12, c=43

x = (-12± √(12²-4143))/2*1

x = (-12± √(144-172))/2

x = (-12± √(-28))/2

x = (-12± i*√28)/2

x = (-12+ i2√7)/2 or x = (-12- i2√7)/2

These solutions are complex numbers, x = (-6+2i√7) or x = (-6-2i√7)

Answer:

A) 210 B) 0.18

Step-by-step explanation:

got it right

The second option shows a pair of triangles which are congruent by the SSS congruence theorem.

The SSS (Side - Side - Side) congruence theorem states that if two triangles have three sides that are congruent to each other, then the two triangles are congruent by the SSS theorem.

The congruent sides for the second option are given as follows:

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Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Using the binomial distribution, it is found that:

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

For this problem, the values of the parameters are:

n = 10, p = 0.2.

The probability that 6 VIPs attend is given by:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 6) = C_{10,6}.(0.2)^{6}.(0.8)^{4} = 0.0055\)

The probability that 10 VIPs attend is given by:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0\)

The probability that more than 6 VIPs attend is given by:

P(X > 6) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 7) = C_{10,7}.(0.2)^{7}.(0.8)^{3} = 0.0008\)

\(P(X = 8) = C_{10,8}.(0.2)^{8}.(0.8)^{2} = 0.0001\)

\(P(X = 9) = C_{10,9}.(0.2)^{9}.(0.8)^{1} \approx 0\)

\(P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0\)

So:

P(X > 6) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0008 + 0.0001 + 0 + 0 = 0.0009.

The probability that more than 6 VIPs attend is 0.0009 = 0.09%.

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Answer:whats the question  

Explanation:(pls dont report me as soon as u tell me the question i will edit my answer and answer correctly)

Answer:

It is because the is

Step-by-step explanation:  

Given:

Question:

2a - 4b

Step by step explanation:

Step 1:

2×2-4×(-3)

Step 2:

4-4(-3)

Step 3:

4+12

Step 4:

16

So 16 is correct answer

hope it helped you :)

Answer

16

Step-by-step explanation:

2×2-4×-3=

4+12=

16

Answer: 6

Step-by-step explanation:

Two negatives make a positive, -42/-7 would be 6. The same as a normal 42/7

Answer:

25201 eggs

Step-by-step explanation:

We are told that when the number is divided by 2, 3, 4, 5, 6, 7, 8, 9, 10 there is 1 egg left.

Thus means we have to find the Least common multiple(L.C.M)

L.C.M of 2, 3, 4, 5, 6, 7, 8, 9, 10 is 2520

Since when divided by the numbers above, we have 1 egg remaining, it means the formula to get the total number of eggs will be;

2520x + 1

Where x is any positive integer.

Now, we are told that when you divide the number of eggs by 11 there will be no eggs left.

This is modulo 11.

It means we have to find the smallest number of X for which 2520x + 1 modulo 11 is 0.

The smallest number will be at x = 10

Thus:

Number of eggs = 2520(10) + 1 = 25201

To confirm this; 25201/11 = 2291

No remainder, so it shows that that is truly the number of eggs

Answer:

this sounds familiar i would pick A or B

Step-by-step explanation:

I'm in tenth grade so I want to try to help as much as I can!!!

Function h is the one with the lowest minimum value.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for creating physical links in the sciences.

A function is more precisely defined as a set of ordered pairs (x,y) with the limitation that there may only be one ordered pair with the same value of x given a set of inputs (domain) X and a set of potential outputs (codomain).

A graph is considered to be a function if any vertical line formed can cross it at most one point. A vertical line cannot cross the graph at more than two points in any location.

Considering the query

f(x) = x² - 2x - 6

given the graph

at its lowest value (1,-7)

h(x) = 2(x-1)²

h(x) = 2 (x² + 1 -2x )

h(x) = 2x² - 4x + 2

Creating the graph

We may view the

Lowest value at (1,0)

The complete question is,

Consider continuous functions f, g, and k. Then complete the statements.

The function that has the least minimum value is function _____. The function that has the greatest minimum value is function _____.

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Answer: y= 4/3x -8

Step-by-step explanation:

-4 - -8 over 6 - 3

-4 + 8 over 3

4 over 3

Y intercept is y1 which is -8

Answer:

She saved 360 and she spent 160

g value means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

The "g value" or "g-force" is a measure of the acceleration or deceleration experienced by an object. It is defined as the ratio of the acceleration of the object to the acceleration due to Earth's gravity, which is approximately 9.8 m/s^2.

To calculate the g value of an object, you can use the following formula:

g value = acceleration of the object / acceleration due to gravity

For example, if an object experiences an acceleration of 19.6 m/s^2, the g value can be calculated as follows:

g value = 19.6 m/s^2 / 9.8 m/s^2 = 2 g

This means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

It's important to note that the g value is a unitless quantity, so the units of the acceleration of the object and the acceleration due to gravity must be the same in order to obtain a correct result.

Therefore,  g value means that the object is experiencing an acceleration that is twice the acceleration due to Earth's gravity.

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