A coin is tossed twice. Let Z denote the number of heads on the first toss and W the number of heads on the second toss. If the coin is unbalanced and a head has a 40% chance of occurring, find

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:its B I did the quiz

Step-by-step explanation:

Answer:

21 metres.

Step-by-step explanation:

I think you mean the equation to be:

h = -4.9t^2 + 19.6t + 1.4

To find the maximum height we convert the equation to vertex form:

h = -4.9(t^2 - 4t) + 1.4

h = -4.9[(t - 2)^2 - 4] + 1.4

h = -4.9(t - 2)^2 + 19.6 + 1.4

h = -4.9(t - 2)^2 + 21.

The maximum height is 21 metres.

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:

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: Choice 1

3(MC) = SC

=====================================================

Explanation:

The three medians intersect at the centroid, which is point M in this case. The intersecting medians subdivide themselves in the ratio 2:1

This means that SM is twice as long as MC. We can say SM = 2MC

Then by the segment addition postulate, we know that:

SC = SM + MC

SC = 2MC + MC

SC = 3MC

3(MC) = SC

So having three copies of MC glued together will form segment SC.

The same idea applies for the other medians also (EK = 3EM and RL = 3ML).

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

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:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

9

Answer:

canvas? or is that a different website

Step-by-step explanation:

Change of Base formula: [tex]log_ax=\frac{log_bx}{log_ba}[/tex]

b can be any number.

This formula is used because a lot of calculators can't calculate a logarithm with a base other than 10, so calculators don't show the bases, it is already assumed as base 10.

[tex]log_725=\frac{log_{10}25}{log_{10}7}[/tex]

Type log(25) / log(7) to get: 1.6542

Pls let me know if u have any questions about logarithms, it helps me study!!

Answer:

[tex]\displaystyle V = 147 \pi \ cm^3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]

Step-by-step explanation:

Step 1: Define

Identify

h = 9 cm

r = 7 cm

Step 2: Find Volume

Answer:

Solution given:

height[h]=9cm

radius [r]=7cm

volume of cone =?

we have

Volume of cone:⅓πr²h=⅓*π*7²*9=⅓*22/7*7²*9=

462cm³

volume of a right circular cone-shaped building with a height of 9 cm and a radius base of 7 cm is 462cm³.

Answer:

B

Step-by-step explanation:

Answer:

The rate of change is 13 new participants every year.

Step-by-step explanation:

y=13x+50

This is in the form y = mx+b  where m is the slope and b is the y intercept

x is the number of years so for every year increase we gain 13 new participants

Answer:

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

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

Answer:

Rational expression

Step-by-step explanation:

Answer:

14:3

Step-by-step explanation:

14 total.

all players : sixth graders

14:3

Download photo-math on ur phone and take a picture of the equation. it should tell u the answer.

Answer: Joy types 2 1/2pages

Step-by-step explanation:

Number of pages typed  by Trish= 3 1/3 pages

Number of pages typed  by joy=3/4 as many pages as Trish=3/4 x  3 1/3 pages

=3/4 x  3 1/3

=3/4 x  10/3

=(30/12) ÷(3/3)

=10/4)÷(2/2)

=5/2=2 1/2

Answer:

The answer is "The threat to internal validity is mortality".

Step-by-step explanation:

It signifies that while in terms of your study, persons were "morning." It usually signifies when people leave the studies. There will be only likely if indeed the experiment lasts a long period that it'll be a substantial danger to validity and reliability because the chance for drops increases. Eight content validity risks are history, maturity, instrument, test, choice, average regress, human engagement, and mortality.

Answer:

26 ft

Step-by-step explanation:

Answer:

254 y 286

Step-by-step explanation:

540 - 32 = 508

508 / 2 = 254

254 + 32 = x = 286

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:

-csc²θ(tan²θ)

Step-by-step explanation:

csc²θ-csc²θ(sec²θ)

-csc²θ(-1+sec²θ)

-csc²θ(tan²θ)

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:

$12.50 per lawn

Step-by-step explanation:

If you get $25 when mowing two lawns(inferred from the table) you would earn exactly half of that amount for 1 lawn.

25 ÷ 2 = 12.5

This means you are earn $12.50 for one lawn or $12.50 per lawn.

Answer:

Slope, m = 5

Step-by-step explanation:

Picking points on the x-axis and y-axis of the graph;

Point on x-axis (x1, x2) = 2, 4

Points on the y-axis (y1, y2) = 10, 20

To find the slope;

Mathematically, slope is given by the formula;

[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]

[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]

Substituting into the equation, we have;

[tex] Slope, m = \frac {20 - 10}{4 - 2} [/tex]

[tex] Slope, m = \frac {10}{2} [/tex]

Slope, m = 5