Jaco has a list of 90 data science students, 20 of whom are female and 70 of whom are male. He then selects 10 at random. Of the randomly selected students a group coordinator is also chosen randomly. What is the probability that the coordinator will be a female?​

Answer:

\(\%H = 8\%\)

Step-by-step explanation:

Given

See attachment for table

Required

The percentage of historical

From the table, we have:

\(Historical = 2\)

and

\(Total = 6+3+7+2+7\)

\(Total = 25\)

So, the percentage of historical is:

\(\%H = \frac{Historical}{Total} * 100\%\)

This gives:

\(\%H = \frac{2}{25} * 100\%\)

\(\%H = \frac{200\%}{25}\)

\(\%H = 8\%\)

Answer:

8%

Step-by-step explanation:

Answer:

$2448

Step-by-step explanation:

15% of 3200 will be 2720.  to find 10% of 2720, you can multiply 2720 by 0.1, which is the decimal equivalent of 10%, and get the  answer, 272. Now we miss subtract this from the original number to find the further staff discount.

2720 - 272 = 2448

The TV price with both discounts will be 2448

Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !

Answer:

y = 4

Step-by-step explanation:

Given

3x + 7y = 37 ← substitute x = 3 into the equation

3(3) + 7y = 37, that is

9 + 7y = 37 ( subtract 9 from both sides )

7y = 28 ( divide both sides by 7 )

y = 4

Step-by-step explanation:

Answer:

S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3

Answer: V = 493.19

Step-by-step explanation:

V=1/3bh

7.6*12.4=94

94*15.7=1479.568

1479.568*1/3=493.19

Answer:

16.8km

Step-by-step explanation:

Arc length = 2πr(θ/360)

=2π(8)(120/360)

=16.7551608191

≈16.8km

Answer:

16.8 km

Step-by-step explanation:

Arc length = 2πr (θ/360)

So plug in the values:

2π(8)(120/360)      =        16π(1/3)      =       16π/3

16.75516 ——————> 16.8 km

Answer:

1.35

2.54

3.32

4.64

5.121

6.70

Answer:

1: 35

2: 54

3: 32

5: 64

6: 121

7: 70

Step-by-step explanation:

1: 180-(110+35)

2: 180-(74+52)

3: 180-(58+90)

5: 180-(52+64)

6: 180-(36+23)

7: 180-(56+54)

The probability that the mean amount of cereal in 5 randomly selected boxes is at most 9.65 ounces is 0.4808.

The Central limit theorem is used to find the probability

Data given:

sample size = 5.

mean, μ = 9.70 ounces

standard deviation, σ = 0.03 ounce.

To calculate the probability, we determine the z-score corresponding to the sample mean of 9.65 ounces using the z-score formula.

x is the sample mean,

μ is the population mean,

σ is the population standard deviation, and

n is the sample size.

For the sample mean of 9.65 ounces in 5 boxes:

z = (9.65 - 9.70) / (0.03 / √5)

z ≈ -0.05 / (0.03 / √5)

Using a calculator, we find that the probability is approximately 0.4801.

Therefore, the probability that the mean amount of cereal in 5 randomly selected boxes is less than 9.65 ounces is approximately 0.4801.

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a) The radius of the sphere is given as follows: 27.13 ft.

b) The surface area can be checked as follows: S = 4 x 3.14 x 27.13² = 9244.

The surface area for a sphere of radius r is given by the equation presented as follows:

S = 4πr².

The surface area for this problem is given as follows:

9244 ft².

Hence the radius is given as follows:

\(r = \sqrt{\frac{9244}{4 \times 3.14}}\)

r = 27.13 ft.

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Answer:

y= 6

Step-by-step explanation:

1. Rearrange the terms before the equal sign: 14+y=3y+2-> y+14=3y+2

2. Subtract 14 from both sides: y+14=3y+2-> y=3y-12

                                                     -14       -14

3. Subtract 3y from both sides: y=3y-12-> y-3y= -12

                                                -3y  -3y  

4. Combine like terms: y-3y= -12-> -2y= -12

                                      1-3 keep the y

5. Divide both sides by -2: -2y= -12-> y= 6

                                              /2    /2

6. So, you're left with y= 6

Answer:

the x value is 41

x=77

y=62

z=41

Step-by-step explanation:

part 1:

2y-5+y+21+y=180

4y+17=180

4y=164

y=41

part 2:

w-2(41)-5=77

x-41+21=62

y-41

To solve this question we must use the concept of the sum of the internal angles of the triangles and therefore the measures of each angle are x = 62º, y = 41º, w = 76º.

The sum of the internal angles of a triangle is of 180º. In this problem, the angles are w, x and y, hence:

x + y + w = 180.

The measure of angle w is five less than twice the measure of angle y, hence:

w = 2y - 5.

The measure of angle x is 21 more than the measure of angle y, hence:

x = y + 21.

Replacing in the first equation, we can find angle y as follows:

y + 21 + y + 2y - 5 = 180.

4y = 164.

y = 164/4

y = 41.

Then:

w = 2y - 5 = 2(41) - 5 = 76.

x = y + 21 = 41 + 21 = 62.

Therefore the measures of the angles are given as follows:

x = 62º, y = 41º, w = 76º.

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Answer:3 and 3/4 :)

Step-by-step explanation: 15/4= 3 R 3 3 and 3/4

el hombre tenía 50 acciones.

La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,

se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,

podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.

Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.

Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.

Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.

Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,

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Answer:

y= mx+b BRAINLIEST PLEASE

Step-by-step explanation:

Answer:

a)

product A = 12O units

Product B = 220 units

product C = 280 units

b) $9000  = max/largest profit

c) No resource left

Step-by-step explanation:

Available hours

Dept. I = 1020

Dept. II = 1140

Dept. III = 960

Total available hours = 3120 hours

products produced by each department

                  product A         Product B        Product C

Dept. I            2                           1                    2

Dept. II           3                           1                    2

Dept. III          2                           2                     1

profits             $18                      $12                 $15

Determine how many units of each product to be produced to attain maximum profit

let each product be represented as : x , y , z

2x + y + 2z  = 1020 -------- ( department  A ) --- 1

3x + y + 2z  = 1140   -------- ( department B ) --- 2

2x + 2y + z = 960    --------- ( department c ) ---- 3

max profit : 18 x + 12y + 15 y

solving  equation 1 from  2

x = 120

solve equation 2 from 3 simultaneously

x - y + z = 180

-y + z = 60

solve equation 1 and 3

-y + z = 60

∴ z =  60 + y

back to equation 1

2( 120 ) + y + 2( 60 + y ) = 1020

240 + y + 120 + 2y = 1020

∴ y = (1020 - 360 )/ 3 = 220

therefore ; z = 60 + 220  = 280

amount of each product to be produced to gain maximum profit

product A = 12O units

Product B = 220 units

product C = 280 units

ii) The largest profit

18 ( 120 ) + 12(220) + 15 ( 280 ) =  $9000

The probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is 1/15 (option a).

Firstly, we need to determine the total number of jelly beans in both bags.

The first bag contains 15 jelly beans (3+5+2+5) and the second bag contains 10 jelly beans (1+7+2).

Therefore, the total number of jelly beans in both bags is 25.

Next, we need to determine the probability of randomly selecting a blue jelly bean from the first bag.

Since there are 5 blue jelly beans out of a total of 15 jelly beans in the first bag, the probability of selecting a blue jelly bean is 5/15 or 1/3.

After selecting a blue jelly bean from the first bag, we move on to the second bag to select a green jelly bean.

Since there are 2 green jelly beans out of a total of 10 jelly beans in the second bag, the probability of selecting a green jelly bean is 2/10 or 1/5.

To determine the probability of both events occurring, we use the multiplication rule of probability.

Therefore, the probability of randomly selecting a blue jelly bean from the first bag and then randomly selecting a green jelly bean from the second bag is (1/3) x (1/5) = 1/15.

Hence, the answer is option (a) 1/15.

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Answer:

Step-by-step explanation:

-4/7 * 9

The dot there resembles multiplication sign.

-4/7 * 9/1 (9 = 9/1 because 9 divided by 1 = 9)

=> -(4 * 9) / (9 * 1)

=> -36 / 9

=> -4

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Thanks!!

The first numSelected of the selected elements to an array selectedData is assigned in the programme.

The program for the given condition is-

function selectedData = SelectLogicalN( dataMatrix, logicalSelect, numSelected )

% SelectLogicalN: Return the first numSelected values of input 2D

% array dataMatrix indexed by localSelect indexing array.

%Inputs: dataMatrix - input data matrix (2D array)

%logiccalSelect - logical indexing array, can be 2D or linear

%numSelected - number of indexed elements to return in selectedData%

%Outputs: selectedData - column vector of logically indexed elements to return

dataMatrix = dataMatrix(logical(logicalSelect));

% assign tempSelected with logically indexed elements of dataMatrixtemp

Selected = dataMatrix

% find the size of tempSelected

s=size(tempSelected);

% remove the last element from the temp

SelectedselectedData =tempSelected

(1:s-1)end

Thus, the first numSelected of the selected elements to an array selectedData is assigned in the programme.

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Answer:

The answer is 24.1 unit²

Step-by-step explanation:

Volume of prisms=cross sectional area×h

cross sectional area=Volume of prisms/height

A=216.9/9

A=24.1 unit²

Answer:

ACD

Step-by-step explanation:

All statements are correct for two congruent trianglesStep-by-step explanation:If two triangles are congruent than the rules states thatTriangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other.As the fig shows two triangleΔ PQRΔ LMNAll three corresponding sides of triangle are congruentall three corresponding angles are congruentBoth triangle are of same sizeBoth are of same shapehence all the statements are CORRECT Keywords:Geometry

Answer: Becky will have to spend £ 9.6 .

Step-by-step explanation:

The ratio of their ages will be:

Melissa : Becky : Daniel = 13 : 12 : 10

Total amount share = £42

Share of Becky = \(\dfrac{12}{12+13+10}\times42\)

\(=\dfrac{12}{35}\times42\\\\= 14.4\)

Hence, Becky's share = £14.4

Becky decided to save a third of her share.

Then, Amount she spend = \(14.4-\dfrac13 \times 14.4\)

\(=14.4-4.8\\=9.6\)

hence, Becky will have to spend £ 9.6 .

Answer:

A

Step-by-step explanation:

The answrr is A I think I need points

The probability of 3 or more deaf people in a sample of 100 is given as follows:

0.3633 = 36.33%.

The mass probability formula, giving the probability of x successes, is of:

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

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

The parameters are given by:

The values of the parameters for this problem are given as follows:

p = 0.02, n = 100.

The probability of 3 or more deaf people are given as follows:

P(X >= 3) = 1 - P(X < 3).

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Hence:

Thus:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.1326 + 0.2707 + 0.2334

P(X < 3) = 0.6367.

P(X >= 3) = 1 - P(X < 3).

P(X >= 3) = 1 - 0.6367.

P(X >= 3) = 0.3633.

We suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.

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Figure O is reflected followed by a translation of 4 units in the left direction.

Given that:

Figure O and Figure P are shown on the graph.

The translation does not change the shape and size of the geometry. But changes the location.

Figure O is translated leftward by 4 units.

The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersect the line of reflection at a right angle.

The translated figure O is reflected across the x-axis.

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Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.

the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

Given: The hypotenuse of the right triangle,

c = 159 ft; angle A = 34°

We know that, in a right-angled triangle:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$\)

We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)

\({\text{adjacent}}$$\) Length of side a is:

\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)

Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:

\($$\text{Area} = \frac{1}{2}ab$$\)

Putting the values of a and b:

\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)

Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

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Answer:

P ( Z < 35,2 )  =  0,0122    or   1,22 %

Step-by-step explanation:

Assuming a normal distribution:

μ = 37

σ²  =  49       σ  =  7

Z(s) =  (  x  -  μ  ) / σ /√n

Z(s) = ( 35.2  -  37 ) / 7 / √77

Z(s) =  - 1.8 * 8.77 / 7

Z(s)  =  -  2.25

From z- table we find the area under the bell shape curve and it is:

0,0122

Then  P ( Z < 35,2 )  =  0,0122    or   1,22 %

Answer:

B.

Step-by-step explanation:

x + 7 = 15

x = 15 - 7

x = 8

we know that only 8 + 7 gives 15 in this particular equation

is x = 8 a solution to the equation x + 7 = 15

A yes, because 8+7 is not true.

B yes, because 8+7 = 15 is true

C no, because 8+7=15 is true

D no, because 8+7=15 is not true

option B yes, because 8+7 = 15 is true

=> x + 7 = 15

=> x = 15-7

=> x = 8

-------------------------------------------------------

We know that 8+7 equals to 15.

Therefore , x = 8 is the solution of the equation x+7 = 15