What is an equation of the line that passes through the points (-2, 1) and (4, 7)

Option D is correct, tossing a coin 3 times is a simple event.

It is a branch of mathematics that deals with the occurrence of a random event.

A simple event is a single outcome or result of an experiment or probability experiment.

In option D, the simple event is tossing a coin once and getting either a heads or a tails.

Since the event is repeated three times, there are a total of 8 possible outcomes (HHH, HHT, HTH, THH, TTH, THT, HTT, TTT).

However, each of these outcomes is made up of three simple events, which are the individual tosses of the coin.

In options A and B, there are multiple events happening, each of which has multiple possible outcomes, so they do not describe a simple event. In option C, there is only one event happening, but there are multiple possible outcomes of that event, so it also does not describe a simple event.

Hence, Option D is correct, tossing a coin 3 times is a simple event.

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Answer:

Area =  201  1/4 yard^2

Or in decimal form: 201.25 yard^2

Step-by-step explanation:

First convert the mixed numbers into improper fractions or even decimal form  so it is easier to operate with them:

Base = 11  1/2 yards = 23/2 yards = 11.5 yards

Height = 17 1/2 yards =  35/2 yards = 17.5 yards

Use the formula for the area of a parallelogram:

Area = Base x Height

which in our case give:

Area = 23/2 x 35/2 = 805/4 yard^2 = 201  1/4 yard^2

Or in decimal form: 201.25 yard^2

Answer:

60%

Step-by-step explanation:

Percentage of blue canoes = [tex]\frac{3}{5}[/tex] × 100%

                                              = 60%

Answer:

the x intercept is -3

or (-3,0)

Step-by-step explanation:

the x intercept is the point where the line crosses the x axis. The y value is zero, while x is a number.

Therefore, we can make y equal 0 in the function y=1/3x+1, since the point will pass through the line.

0=1/3x+1

subtract 1 from both sides

-1=1/3x

multiply by 3

-3=x

Therefore the x intercept is -3.

As a point is (-3,0)

hope this helps!

Answer:

answer: The formula is

(Y2-y1) /(x2-x1)

(3-1)/(5-2)

2/3

Step-by-step explanation:

Have a good day;-)

Answer:

0

Step-by-step explanation:

Answer:

congruent minor

Step-by-step explanation:

two congruent circle are corresponding minor

Answer:

49

Step-by-step explanation:

50% is basically half so divide 98 by 2

Answer:

0.008333 Servings per Calorie

Step-by-step explanation:

Answer:

Vertical Angles Theorem

Step-by-step explanation:

I'm not sure what you're asking because 2. 124 2. 1 doesn't make mathematical sense, but if angle 1=angle 2, you use the vertical angles theorem.

Answer:

x=2 and y=0.

Step-by-step explanation:

Answer:

[tex]x=-1,\\y=-1[/tex]

Step-by-step explanation:

We can write the following system of equations as given:

[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].

Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:

[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].

Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:

[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].

Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]

Answer:

4 is the correct answer

Step-by-step explanation:

y=(x+5)(x-3)

so x intercept means the value of x when y is zero

0=(x+5)(x-3)

x+5=0 so x=-5

x-3=0 so x=3

Answer:

x is 90

Step-by-step explanation:

Answer: g it is 2x+21 ansd h is 3x+24

Step-by-step explanation:

Answer:

Step-by-step explanation:

let the number is x

3x+4=-8

3x=-8-4

3x=-12

x=-4

Answer:

A

Step-by-step explanation:

- 8 × - 3 = 24 ÷4=6

this is the right answer

Step-by-step explanation:

For every month increase by 1, the amount of dollars increase by 7. (from 65 to 72, 72 to 79, 79 to 86 etc.)

Hence at Month 7, there will be 100 + 7 = 107 dollars.

Answer:

107 dollors

Step-by-step explanation:

For every month, It increase 7 dollars, So it would be 107 bdollors

Answer:

(1, 4)

Step-by-step explanation:

subsitute y=x+3 into the 2nd equation, which you will get 7x-(x+3)=3

get rid of the (), which you will get 7x-x-3=3

combine like terms and get 6x-3=3

move 3 to the other side and divide both sides by 6 and get x=1

use the first equation y=x+3 and subsitude 1 for x and get y=1+3

y=4

Answer: B

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

if it’s wrong i’ll change it when i’m done with this quiz

Answer:

> -3

Step-by-step explanation:

Pi can be simplified down to 3.14. That is a positive number. -3 is a negative number. Because positive numbers are greater than negative numbers, pi > 3.

Answer:

Pi

Step-by-step explanation:

pie is 3.14 which is a positive number

any positive number is greater than a negative number. pi>-3

Answer: A

Step-by-step explanation:

4.1

Answer:

b.

Step-by-step explanation:

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Answer:

x= - 6

Step-by-step explanation:

[tex]for \: 3 \\ u = 360 - 55 - 145 - 30 - 55 = 75[/tex]

[tex]for \: 4 \\ head \: opposite \: angels \\ first \\ 360 - 130 - 130 = 100 \\100 = (2x + 56 + 56) = 2x + 112 \\ 2x = 100 - 112 = - 12 \\ x = - 6[/tex]

Answer:

h

Step-by-step explanation:

Answer:

2000 times

Step-by-step explanation:

Given

Sara:

[tex]Mercury = 3.302 * 10^{23[/tex]

[tex]Saturn = 5.685 * 10^{26[/tex]

Sam:

[tex]Mercury = 3.302 * 10^{29[/tex]

[tex]Saturn = 5.685 * 10^{32[/tex]

To determine the number of times, the mass of Saturn is greater than the mass of Mercury, we simply do the following:

[tex]Times = \frac{Saturn}{Mercury}[/tex]

Using Sara's measurement; this gives:

[tex]Times = \frac{5.685 * 10^{26}}{3.302 * 10^{23}}[/tex]

Apply law of indices

[tex]Times = \frac{5.685 * 10^{26-23}}{3.302}[/tex]

[tex]Times = \frac{5.685 * 10^3}{3.302}[/tex]

[tex]Times = 5.685/3.302 * 10^3[/tex]

[tex]Times = 1.72 * 10^3[/tex]

Approximate

[tex]Times = 2 * 10^3[/tex]

[tex]Times = 2000[/tex]

Answer:

7

Step-by-step explanation:

Answer:

[tex]ST=11.2\:\mathrm{m}[/tex]

Step-by-step explanation:

Since [tex]\angle T[/tex] corresponds with [tex]\angle Q[/tex], we need to find the measure of [tex]\angle Q[/tex] to set up a proportion.

In [tex]\triangle PQR[/tex], two sides and the angle between them are given, so we can use the Law of Cosines to find the third side.

The Law of Cosines is given as:

[tex]c^2=a^2+b^2-2ab\cos C[/tex]

Plugging in values, we get:

[tex]c^2=8^2+7^2-2\cdot8\cdot 7\cdot \cos 59^{\circ},\\c\approx 7.44[/tex].

Now we can use the Law of Sines to find [tex]m\angle Q[/tex]:

[tex]\frac{\sin59^{\circ}}{7.44}=\frac{\sin Q}{7},\\Q=\arcsin( \frac{7\cdot \sin 59^{\circ}}{7.44})\approx 53.75^{\circ}[/tex].

Using this, we can set up the following proportion to solve for [tex]ST[/tex]:

[tex]\frac{53.75}{75}=\frac{8}{ST},\\53.75\cdot ST=8\cdot 75,\\ST=\frac{8\cdot 75}{53.75}\approx \fbox{$11.2\:\mathrm{m}$}[/tex].