A team of five people is formed from 8boys and 5 girls.the probability that the team contains at least 3girls is?​

Answer:

-3p^2 - 11p + 22

Step-by-step explanation:

A - 3B becomes (-2p + 7) - 3*(p^2 + 3p - 5).

Perform the indicated multiplication, obtaining:

                            (-2p + 7) - 3p^2 - 9p + 15, and then:

                              -2p + 7 - 3p^2 - 9p + 15, or (combining like terms):

                                 -3p^2 - 11p + 22

Answer:

See below

Step-by-step explanation:

[tex]y = {u}^{ \frac{3}{2} } \\ \\ \therefore \: \frac{dy}{du} = \frac{3}{2} {u}^{ \frac{3}{2} - 1 } = \boxed{\frac{3}{2} {u}^{ \frac{1}{2}} } \\ \\ u = 8x + 3 \\ \\ \frac{du}{dx} = 8.1 + 0 = \boxed{8}[/tex]

Answer:

1year?hehehehehehehehehe

Answer:

Step-by-step explanation:

The vertex is a point. The x value is defined as x = - b / 2a where

a = -3

b = - 12

x = - -12/ 2* -3

x = 12 / - 6

x = -2

what is y when x = - 2?

y = -3(-2)^2 - 12(-2) - 13

y = -12 + 24 - 13

y  = -1

Does the graph agree? It should

The equation is written as

y = -3(x + 2)^2 - 1

Answer:its B I did the quiz

Step-by-step explanation:

Answer:

You can find the margin of error by using this this formula

[tex]z \times \frac{σ}{ \sqrt{n} } [/tex]

Answer:

17.5(D)

Step-by-step explanation:

So, lets see:

Every 5 minutes, Raul answers 22 questions.

The test has 77 questions.

We must figure out the time it takes to answer all 77 questions.

To do this, lets first divide the total questions by the questions answered per 5 minutes:

77 / 22

=

3.5

I got 3.5 knowing that 3x22 is 66, and half(0.5) of 22 is 11, and 11 plus 66 is 77.

So, the 3.5 is how many times he answrs 22 questions in five minutes.

To make a bit more sense, basically we have to multiply the 5 minutes by the 3.5:

3.5*5

=

17.5

We know that 3 times 5 is 15. Half(0.5) of 5 is 2.5, so 15+2.5 is 17.5.

So the answer is that for the 77 quesitons, it takes 17.5 minutes

HOPe this helps!

Answer:

[tex]40[/tex]

hope this helps you.

Can I have the brainliest please?

Answer:

Step-by-step explanation:

A. Distance(16)= 30

Answer:

x = 0, x = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

8x² - 12x = 0 ← factor out 4x from each term

4x(2x - 3) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]

A and e

Step-by-step explanation:

i did this on khan so I know it

The expression (x² + 12x + 32)/(x + 4) is equivalent to (x+8) option (B) (x+8) is correct.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

[tex]=\rm \dfrac{x^2 + 12x + 32} { x + 4}[/tex]

[tex]=\rm \dfrac{(x+4)(x+8)} { x + 4}[/tex]

As it is given, x ≠ -4

We can cross the term (x+4) from the numerator and denominator.

= (x+8)

Thus, the expression (x² + 12x + 32)/(x + 4) is equivalent to (x+8) option (B) (x+8) is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

108 m^3

Step-by-step explanation:

The volume of a rectangular prism is the product of all its sides. 12 * 6 * 1.5 = 108

9514 1404 393

Answer:

  307°

Step-by-step explanation:

The measure of arc CFD is the measure of the whole circle, less the measure of arc CD. The measure of arc CD is the difference between the measures of arc CE and DE. Arc CE has the same measure as arc BF, so we have ...

  arc CFD = 360° -(arc BF -arc ED)

  arc CFD = 360° -132° +79°

  arc CFD = 307°

_____

Arcs BF and CE are of equal measure because their central angles are vertical angles, hence congruent.

Answer:

∠A and ∠G is the pair of vertical angles.

Step-by-step explanation:

From the figure attached,

Two lines 'm' and 'n' are two parallel lines. These lines intersect a horizontal line 'l'.

Since, "Pair of opposite angles formed at the point of intersection are the vertical angles and equal in measure."

Therefore, Opposite angles ∠A ≅ ∠G, ∠B ≅ ∠H, ∠C ≅ ∠E and ∠D ∠F are the vertical angles.

From the given options,

∠A and ∠G is the pair representing the pair of vertical angles and thus congruent.

Answer:

∠A and ∠G

Step-by-Step Explaination:

I did it on

E

D

G

E

N

U

I

T

Y

Answer:

254 y 286

Step-by-step explanation:

540 - 32 = 508

508 / 2 = 254

254 + 32 = x = 286

Answer:

[tex]a_{n} = 5 * 3^{n-1}[/tex]

Step-by-step explanation:

To find the nth term of a geometric sequence, you have the general formula:

[tex]a_{1} *r^{n-1}[/tex]

where a1 is the first term and r is the common ratio. In order to find the 4th term, we can substitute what we have(n is 4 because we are looking for the fourth term):

135 = [tex]a_{1} * 3^{4 - 1}[/tex]

135 = [tex]a_{1} * 3^3[/tex]

135 = [tex]27a_{1}[/tex]

[tex]a_{1} = 5[/tex]

Now, we can substitute the first term back in:

[tex]a_{n} = 5 * 3^{n-1}[/tex]

Answer:

Graph at 0 with open circle and arrow pointing right. Right now, all you need to do is open circle

Step-by-step explanation:

Dot at 0 bc 0 is only number in equation

Open circle because there is no "or equal to", so it doesn't include zero

pointing right because right is greater than

Answer:

3024

Step-by-step explanation:

l * w * h

18 in. * 12 in. * 14 in.

there are 12 inches in 1 foot.

Answer:

[tex]Fraction = \frac{31}{38}[/tex]

[tex]\theta = 296.18^\circ[/tex]

[tex]Area = 29.62 \pi[/tex]

Step-by-step explanation:

Given

[tex]r = 6[/tex]--- radius

[tex]L = 31[/tex] --- arc length

Solving (a): Fraction represented by the arc

First, calculate the circumference (C)

[tex]C = 2\pi r[/tex]

So, we have:

[tex]C = 2 * 3.14 * 6[/tex]

[tex]C = 38[/tex] --- approximated

So, the fraction represented by the arc is:

[tex]Fraction = \frac{L}{C}[/tex]

[tex]Fraction = \frac{31}{38}[/tex]

Solving (b): Measure of the center angle

Using arc length formula, we have:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

This gives

[tex]31 = \frac{\theta}{360} * 2 * 3.14 * 6[/tex]

[tex]31 = \frac{\theta}{360} * 37.68[/tex]

Make [tex]\theta[/tex] the subject

[tex]\theta = \frac{360 * 31}{37.68}[/tex]

[tex]\theta = 296.18^\circ[/tex]

Solving (c): The area of the sector

This is calculated as:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Area = \frac{296.18}{360} * \pi * 6^2[/tex]

[tex]Area = \frac{296.18}{360} * \pi * 36[/tex]

Divide 360 and 36

[tex]Area = \frac{296.18}{10} * \pi[/tex]

[tex]Area = 29.618 * \pi\\[/tex]

[tex]Area = 29.62 \pi[/tex] --- approximated

Answer:

-csc²θ(tan²θ)

Step-by-step explanation:

csc²θ-csc²θ(sec²θ)

-csc²θ(-1+sec²θ)

-csc²θ(tan²θ)

Answer:

Rectangle: bh or l · w

Circle: pi(r)²

Answer:

H.

Step-by-step explanation:

16x^2 is the big square area and the -10x comes from subtracting the smaller area from the big one

Answer:

H. is the answer

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

26 ft

Step-by-step explanation:

Answer:

a) The sample mean is of 42.7 thousand dollars.

The standard deviation is of 6.38 thousand dollars.

b) The point estimate of the difference between the two population means is of 20.4 thousand dollars.

Step-by-step explanation:

a. Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges.

Sample mean is the sum of all values divided by the number of values. So

[tex]M = \frac{53.8 + 42.2 + 44.0 + 34.3 + 44.0 + 31.6 + 45.8 + 38.8 + 50.5 + 42.0}{10} = 42.7[/tex]

The sample mean is of 42.7 thousand dollars.

Sample standard deviation is the square root of the sum of the difference squared between each number and the mean, divided by the number of values. So

[tex]S = \sqrt{\frac{(53.8-42.7)^2 + (42.2-42.7)^2 + (44.0-42.7)^2 + (34.3-42.7)^2 + (44.0-42.7)^2 + (31.6-42.7)^2 + (45.8-42.7)^2 + (38.8-42.7)^2 + (50.5-42.7)^2 + (42.0-42.7)^2}{10}} = 6.38[/tex]

The standard deviation is of 6.38 thousand dollars.

b. What is the point estimate (in thousand dollars) of the difference between the two population means?

First, we have to find the sample mean for public colleges, and then subtract the sample mean of private colleges by the sample mean of public colleges. So, for public colleges:

[tex]M = \frac{20.3 + 22.0 + 28.2 + 15.6 + 24.1 + 28.5 + 22.8 + 25.8 + 18.5 + 25.6 + 14.4 + 21.8}{12} = 22.3[/tex]

Point estimate of the difference:

42.7 - 22.3 = 20.4

The point estimate of the difference between the two population means is of 20.4 thousand dollars.

Answer:

Step-by-step explanation:

thats it

Answer:

Null hypothesis :

Grades have not improved for a majority of students

Alternative hypothesis :

Grades have improved for a majority of students

Step-by-step explanation:

The null and alternative hypothesis for this scenario who see the null hypothesis take a midpoint between improvement and decline ; which can be expressed as ;

H0 : p = 0.5

This means that the performance of students is at a centre point where it could swing either way (decline or improve).

To test of grade has improved students, the, the proportion of f students who have proved should be greater. Which is what the test intends.

H1 : p > 0.5

Answer:

A - y = 2x + 1

Step-by-step explanation:

2(2) + 1 = 5

2(4) + 1 = 9

2(6) + 1 = 13

Hope this helps <3

Answer:

96

Step-by-step explanation:

area is B*H*L

6*8*2 = Area

96 = Area