A cup is filled with pencils. The teacher sharpen 1/4 of them. A student sharpen 2/3 of them. The fraction of pencils left to be sharpened is?

a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.

b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.

a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- n is the total number of trials (number of people selected)

- k is the number of successful trials (number of males selected)

- p is the probability of success in a single trial (probability of selecting a male)

- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:

P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)

b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.

P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).

Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.

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My age is 2 years from the given condition.

Given that, if you square my age and subtract 28 times my age, the result is 60.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let x be my age.

Now, square my age is x²

28 times my age =28x

The square of my age and subtract 28 times my age, the result is 60.

x²-28x=60

⇒ x²-28x-60=0

⇒ x²+30-2x-60=0

⇒ x(x+30)-2(x+30)=0

⇒ (x+30)(x-2)=0

⇒ x=2

Hence, my age is 2 years from the given condition.

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Answer:

yes,it will be because. 12^2+16^2=20^2

144+256=400so,that it prove the two side of a sum is equal to opposite side.so,the the firm be a right angle.

Answer:

Yes, it is a right triangle

Step-by-step explanation:

12^2+16^2=20^2   if a right triangle

144+256=400

The minimum about of balls she should pick is 13.

So, the woman consider all the balls and picks the balls without looking,

To have a clear chance of picking at least 3 blue balls from the bowl she has to first eliminate the possibility of picking red balls.

Therefore,

She first picks 10 balls from the bowl, which gradually eliminates the possibility of picking a red ball.

now, she picks 3 more balls from the rest of the available balls which increases the changes of the balls being blue.

then,

=> 10 + 3 = 13

The minimum about of balls she should pick is 13.

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Answer:

\(4cba*\sqrt{5bc}\)

Step-by-step explanation:

\(\sqrt{4^{2} *5a^{2}b^{2}bc^{2} c }\)

\(4cba*\sqrt{5bc}\)

It would take the committee of 8 students 9 days to clean the auditorium

From the question, we have the following parameters that can be used in our computation:

6 days for a committee of 12 pupils

This means that

Rate = 6 days * 12 pupils

Evaluate

Rate = 72 day * pupils

Using the above as a guide, we have the following:

Days = Rate * Pupils

Substitute the known values in the above equation, so, we have the following representation

Days = 72/8

Evaluate

Days = 9

Hence, the number of days is 9

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Answer:

Median = 44

Step-by-step explanation:

Arrange the data in ascending order:

36, 37, 40, 43, 44, 49, 50 , 51, 56.

Choose the number in the middle.

Median = 44

Answer:

Step-by-step explanation:

Simply if there are 6 tables so 48 ÷ 6 = 8 people on each table

So it depends on the number of table

Answer: The answer is x=6, the final set of (x,y) values are (6,-4)

Step-by-step explanation:

You must move around the equation to get it to y= mx+b to find the (x,y) values

Since you know y=-4 since it is stated above, plug in -4 for all y values and solve.

1. 6x+ 7(-4) =4x +4(-4)

2. 6x -28= 4x -16

3. 2x-28=-16

4. 2x=12

5. x=6

Answer:

D: 50

Step-by-step explanation:

Count them one by one!

Answer:

PLANE SPEED --

While flying against the wind - 675 km/h

While flying along with the wind - 750 km/h

WIND SPEED --

Speed of the wind - EXPLANATORY LOOK AT ABOVE DATA

Step-by-step explanation:

If you need the explanation, just comment yes :)

It's a bit long, so I'm not sure if you just wanted the answer or the whole step-by-step explanation.

Hey there!

2a = 11.4

DIVIDE 2 to BOTH SIDES

2a/2 = 11.4/2

CANCEL out: 2/2 because it give you 1

KEEP: 11.4/2 because it give you the value of a-value

NEW EQUATION: a = 11.4/2

SIMPLIFY IT!

a = 5.7

Therefore, your answer is: a = 5.7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

\(V=V_p-V_cV=27.712 cm^3 - 4.019 cm^3V=23.693 cm^3V=23.6 cm^3\)

Step-by-step explanation:

Given that:

Diameter of the cylinder: d=1.6 cm

Apothem of the hexagon: a=2 cm

Assuming the thickness of the steel hex nut: t=2 cm

Volume of metal in the hex nut: V=?

\(V=V_p-V_c\)

\(\texttt {Volume of the prism}: V_p\\\\\texttt {Volume of the cylinder}: V_c\)

Prism:

\(V_p=Ab h\)

Ab=n L a / 2

Number of the sides: n=6

Side of the hexagon: L

Height of the prism: h=t=2 cm

Central angle in the hexagon: A=360°/n

A=360°/6

A=60°

\(\tan \frac{A}{2} =\frac{L}{2} / a\)

\(\tan \frac{60}{2} =\frac{L}{2} / 2cm\)

\(\tan 30 =\frac{L}{2} / 2cm\)

\(\frac{\sqrt{3} }{3} =\frac{\frac{L}{2} }{2}\)

\(2\frac{\sqrt{3} }{3} =\frac{L}{2}\)

\(L=4\frac{\sqrt{3} }{3}\)

\(Ab=n *L *\frac{a}{2}\)

\(Ab=6(4\frac{\sqrt{3} }{3} )(2cm)/2\)

\(=24\frac{\sqrt{3} }{3} cm^2\\\\=8\sqrt{3} cm^2\)

\(V_p=Ab h\)

\(=(8\sqrt{3} )cm^2(2cm)\\\\=16\sqrt{3} cm^3\\\\=16(1.732)cm^3\\\\=27.712cm^3\)

Cylinder:

\(V_c=\pi\frac{d^2}{4} L\)

π=3.14

d=1.6 cm

Height of the cylinder: h=t=2 cm

\(V_c=3.14\times\frac{1.6^2}{4} \times2\\\\=3.14\times\frac{2.56}{4} \times 2\\\\=2.0096\times2\\\\=4.019cm^3\)

\(V=V_p-V_cV=27.712 cm^3 - 4.019 cm^3V=23.693 cm^3V=23.6 cm^3\)

Answer:

23.6

Step-by-step explanation:

Edge 2020

Answer:

23%

Step-by-step explanation:

(A) Mean best describes the amount of water in each bucket.

Therefore, (A) mean best describes the amount of water in each bucket.

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The correct question is given below:
Five buckets each had different amounts of water in them. Tom poured all of the water together and then divided the water equally among the buckets. Which term best describes the amount of water in each bucket?

A. mean

B. range

C. outlier

D. mean absolute deviation

The Spearman rank-order correlation coefficient is a measure of the direction and strength of the linear relationship between two ordinal variables.

Spearman's rank-order correlation is used when two variables are measured on an ordinal scale.

What is the Spearman Rank-Order Correlation Coefficient?

The Spearman Rank-Order Correlation Coefficient is a non-parametric statistical measure that estimates the relationship between two variables using ordinal data.

It evaluates the strength and direction of a relationship between two variables by rank-ordering the data.

The Spearman correlation coefficient, named after Charles Spearman, calculates the association between two variables' rankings.

The correlation coefficient ranges from -1 to +1. A value of +1 indicates that there is a perfect positive relationship between the variables, whereas a value of -1 indicates that there is a perfect negative relationship between the variables.

In contrast, a value of 0 indicates that there is no correlation between the variables.

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Answer:

0.5 as a fraction is written as 1/2.

Step-by-step explanation:

Answer:

A number divided by five

Step-by-step explanation:

or you could say one-fifth of a number

Answer:

she's broke.

Step-by-step explanation:

Answer:

2.3333333333333333333333333333333 sec

Answer:

x=25 y=30

Step-by-step explanation:

same side interior:

6x-19+2x-1=180

once you do that substitute the variable on the bottom of the same side interior. 2x-1 you should get 50-1

once once do that put y+19=49

Answer:

It was A 4/7

Step-by-step explanation:

Solving for q will give us the optimal quantity that maximizes the profit,  a function that gives the total profit earned can be written as:

Profit(q) = (Revenue per item - Cost per item) * q

Assuming that the revenue and cost are functions of the quantity sold (q), the total profit can be calculated as follows:

Profit(q) = Revenue(q) - Cost(q)

To find the quantity which maximizes the profit, we can take the derivative of the profit function with respect to q and set it equal to zero, and then solve for q:

Profit'(q) = Revenue'(q) - Cost'(q) = 0

Solving for q will give us the quantity that maximizes the profit. However, without knowing the specific forms of the revenue and cost functions, we cannot write a specific profit function or find the quantity that maximizes the profit.

In general, the profit function can be written as:

Profit(q) = (Revenue per item - Cost per item) * q

where the revenue per item and cost per item are functions of q. To find the quantity that maximizes the profit, we need to differentiate the profit function with respect to q and set it equal to zero:

Profit'(q) = Revenue'(q) - Cost'(q) = 0

Solving for q will give us the optimal quantity that maximizes the profit.

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\(y = 3x + 6 \\ switch \: y \: and \: x\)

\(x = 3y + 6 \\ solve \: for \: y \\ x - 6 = 3y \\ y = \frac{x - 6}{3} \)

Answer:

free tokens or something  

Step-by-step explanaon

um i do not know so um bye?

The length AB is 26 units.

The length BC is 2 units

The angle D is 115 degrees.

A parallelogram is a quadrilateral with 2 sides opposite to each other. The

sum of angles in a parallelogram is 360 degrees.

Therefore,

4w - 2 = 3w - 1

4w - 3w = -1 + 2

w = 1

Hence,

4x - 2 = 3x + 5

4x - 3x = 5 + 2

x = 7

Therefore, adjacent angle of a quadrilateral is supplementary.

Hence,

2y - 9 + y + 3 = 180

3y - 6 = 180

y = 186 / 3

y = 62

Therefore,

AB = 4(7) - 2 = 28 - 2 = 26 units

BC = 3w - 1 = 3(1) - 1 = 2 units

m∠D = 2y - 9 = 2(62) - 9 = 115 degrees

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Hello!

This is a question relating a quadratic equation to the vertex and roots.

Since this parabola has a negative a value, the vertex will be the maximum height that this rocket reaches.

We can find the vertex (h,k) with the following equations.

\(h=\frac{-b}{2a}\)

\(k=h(h)\)

\(h=\frac{-76}{2(-16)}\)

\(h=\frac{76}{32}\)

\(h=2.375\)

\(k=-16(2.375)^2+76(2.375)+24\)

\(k=114.25\)

We can interpret the values like this:

At \(t=2.375\) seconds after the rocket was launched, the rocket reached its maximum height of \(114.25\) feet.

Since the y-intercept is at \((0,24)\) and this is a negative parabola, there will only be one positive root, which will be how long our rocket is in the air.

Use the quadratic formula.

\(x=\frac{-b+-\sqrt{b^2-4ac}}{2a}\)

\(x=\frac{-(76)+-\sqrt{(76)^2-4(-16)(24)}}{2(-16)}\)

\(x=5.407, -0.297\)

Since we are searching for our positive root, this rocket is in the air for 5.407 seconds.

Hope this helps!

Answer:

For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite the middle term as a sum of two terms whose product is a⋅c=4⋅−25=−100 a ⋅ c = 4 ⋅ - 25 ...

Step-by-step explanation: