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The probability of getting exactly 9 of them major in STEM is 0.139 or 13.9%.

The probability of getting at most 11 of them major in STEM is approximately 0.898 or 89.8%.

The probability of getting at least 11 of them major in STEM is approximately 0.318 or 31.8%.

a. Exactly 9 of them major in STEM.

In this case, the probability of success (a student majoring in STEM) is 0.27, and the number of trials is 35. The probability of exactly 9 students majoring in STEM is then given by the formula:

P(X = 9) = (35 choose 9) x (0.27)⁹ x (0.73)²⁶

where (35 choose 9) is the number of ways to choose 9 students out of 35, and (0.27)⁹ x (0.73)²⁶ is the probability of 9 successes and 26 failures. Evaluating this expression gives a probability of approximately 0.139 or 13.9%.

b. At most 11 of them major in STEM.

To calculate the probability that at most 11 students out of 35 major in STEM, we can use the cumulative binomial probability distribution. This distribution calculates the probability of at most X successes, where X is any number from 0 to the total number of trials.

The probability of at most 11 students majoring in STEM can be calculated as follows:

P(X <= 11) = P(X = 0) + P(X = 1) + ... + P(X = 11) = 0.898 or 89.8%.

c. At least 11 of them major in STEM.

The probability of less than 11 students majoring in STEM can be calculated using the cumulative binomial probability distribution, as in part (b). Specifically:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

Subtracting this probability from 1 gives the probability of at least 11 students majoring in STEM:

P(X >= 11) = 1 - P(X < 11) = 31.8%

Again, we can use the binomial distribution formula from part (a), or a binomial probability calculator or statistical software package to calculate this probability.

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Answer:

A

Step-by-step explanation:

A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.

For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.

The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.

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Random experiment with order, replacement and without repetition

The area of the figure is 225 ft²

From the figure shown, we have that it is made up of a triangle and a rectangle.

Now, the formula for calculating the area of a triangle is expressed as;

A = 1/2bh

Such that;

Substitute the values

Area = 1/2 × 10 × 15

Multiply the values

Area = 75 ft²

Area of the rectangle is;

Area = length × width

Area = 10(15)

Area = 150 ft²

Total area = 225 ft²

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Answer:

two is the number

Step-by-step explanation:

i think that

The required number is 1.786.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Let the number is x,

According to given condition,

3×x²= 2×x+6

⇒3x²= 2x+6

⇒3x²-2x-6=0

There are two values of x, -1.12 and 1.786

Neglect negative value,

By solving the equation, the value of x is 1.786.

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Answer:

81.6

Step-by-step explanation:

If you do a table and find the unit rate by dividing 3.6/1.5. That gives you 2.4.

Now you multiply 2.4 (the price per pound) by 34 because that's how many pounds you need. You get 81.6

Answer:

$14.28

Step-by-step explanation:

1.5 / 3.60 = 0.42

0.42 * 34 = 14.28

you would divide the pounds by the money because you are trying to find 5e pounds per dollar. So then you get 0.42 the multiply that by 34 and you would get the answer of 34.

Answer:

Nothing left

Step-by-step explanation:

Nothing left

2/7+4/5=38/35

1 3/35

Answer:

\(\frac{1}{7}\)

Step-by-step explanation:

Amount of cake Rani ate = \(\frac{2}{7}\)

You need to understand that her brother ate 4/5 of the remaining part, not of the entire cake, so we need to figure out the actual amount out of the entire cake first before calculating how much is left.

Amount of cake brother ate = \(\frac{4}{5}\) × (\(\frac{7}{7}\) - \(\frac{2}{7}\))

                                               = \(\frac{4}{5}\) × \(\frac{5}{7}\)

                                               = \(\frac{4}{7}\)

Amount of cake left = \(\frac{7}{7}\) - \(\frac{2}{7}\) - \(\frac{4}{7}\)

                                 = \(\frac{1}{7}\)

The number of text message her older sister send a day is 14 message.

She sends 12 message per day.

Therefore, for each day she sends 12 message.

Hence,

The message you send per day = 12

Her older sister sends more message than her.

Therefore,

her older sister message = 12 + x

They both send 26 message together a day.

Therefore,

Therefore,

message sent by her sister = 26 - 12 = 14

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Answer:

wheres it at?

Step-by-step explanation:

#Everything4Zalo

Answer:

c) -152/377

Step-by-step explanation:

yan po ang tamang sagot ko..

Answer:

15/40 = 3/8

Step-by-step explanation:

numerator x numerator & denominaror x denominaror

To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

To shade the number line to show 3/5 x 5/8, we can first convert the fractions to decimals:

So,

3/5 = 0.6

5/8 = 0.625

Next,

We can multiply these decimals together to find the product:

= 0.6 x 0.625

= 0.375

To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.

If the number line extends from 0 to 1, with tick marks every 0.1, we can count over 3.75 tick marks from 0 and shade the point that corresponds to that location.

The shaded point should fall between 0.3 and 0.4 on the number line.

Thus,

To shade this on a number line, we can find the point that corresponds to 0.375 and shade it.

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Step-by-step explanation:

The limit of (sin(x)) / x as x approaches 0 is a well-known limit in calculus, known as the limit definition of the derivative of the sine function.

lim (x -> 0) (sin(x)) / x = 1

This limit can be proven using L'Hopital's rule or by considering the Taylor series expansion of the sine function about x = 0:

sin(x) = x - (x^3) / 6 + (x^5) / 120 + ...

As x approaches 0, the higher order terms in the Taylor series become arbitrarily small, and the expression (sin(x)) / x approaches 1. This shows that the limit of (sin(x)) / x as x approaches 0 is equal to 1.

Answer96

Step-by-step explanation:

3x (7+8)x2+6=96

Answer:

SHORTYYYYYYYYYYYYYYYYYYYYYYYYYYY ANSWER MEH YOU PRECIOUS CHILD

Step-by-step explanation:

It's meh Min you better not have forgotten who I am-

The value of side EA is,

EA = 16.9

We have to given that;

Circle E with diameter CD and radius EA.

And, AB is tangent to E at A.

Here, AB = 34 and EB = 38

Hence, By using Pythagoras theorem we get;

AB² + AE² = EB²

34² + AE² = 38²

1156 + AE² = 1444

AE² = 1444 - 1156

AE² = 288

AE = √288

AE = 16.9

Thus, The value of side EA is,

EA = 16.9

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Answer:

A translation by 1 unit to the left and 7 units up.

Step-by-step explanation:

(3,-4) --> (2,3)

x-values decreased by 1.

y-values increased by 7.

Left 1.

Up 7.

Simplify:

Step 1: Distribute

4 (x plus 5)

4x plus 20

Solution:

4x + 20

Hope this helps

:)

Answer:

The current price of sofa is $195.50.

Step by Step explanation:Cost price of the sofa for the store = $200

Now, the store marked it up 15%.

So, marked price of sofa = $200 + 15% of $200

=200 + 30

=$230

Now, it is given that the sofa could not sell at this price. So, the store reduces its price by 15% now.

So, current price of sofa = $230 - 15% of $230

= 230 - 34.5

=$195.5

So, the current price of the sofa is $195.50.

is simply changing from percentage form to a decimal form usually, but the fractional form works the same.  Check the picture below.

Answer:

the answer is 26.3157895

Step-by-step explanation:

Let me know if this helps

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

18.84

Step-by-step explanation:

You multiply 3 by 2 and then 6 by 3.14

Answer:

What the answer

Step-by-step explanation:

Pls

Answer:

Reflect it across the Y axis then do a 90 degree CCW rotation.

Step-by-step explanation:

the answer:

x=1

y= -1

z= 3

The solution is Option A.

The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

Given data ,

Let the coordinate of the triangle be represented as A

Now , the coordinate A = A ( -4 , 1 )

Now , the coordinate of the triangle after translation is A' ( 0 , -3 )

when there is a translation of the coordinate A by 4 units to the right , we get

A to 4 units right = A ( -4 + 4 , 1 )

The new coordinate of A = A ( 0 ,  1 )

Now , A to 4 units down , we get

The coordinate of A' = A' ( 0 , 1 - 4 )

The coordinate of A' = A' ( 0 , -3 )

Hence , the translated coordinate is A' ( 0 , -3 )

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Answer:

help u with what u didnt attach anything

Step-by-step explanation:

The given equation is

Simplify both sides

Add the like terms

Subtract 0.6 from both sides

Divide both sides by 0.30

Check the answer by substituting x by 8 on the left side

The solution set of the equation is {-8}