if 6 coins are flipped, find the probability that there is at least one heads?
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Answer:

4) a = 6

5) m = 1

Step-by-step explanation:

4) use FOIL, First Inside Outside Last, when you cross multiply.

[tex]\frac{a+4}{a-1} =\frac{a-2}{a-4}[/tex]

[tex](a+4)(a-4) = (a-1)(a-2)[/tex]

I'm going to do the left side first.

[tex](a+4)(a-4)\\a^2-4a+4a-16\\a^2-16[/tex]

Now I'm going to do the right side.

[tex](a-1)(a-2)\\a^2-2a-1a+2\\a^2-3a+2[/tex]

Next I'm going to rewrite back as the equation and solve for a.

[tex]a^2 - 16 = a^2 -3a +2\\a^2 - a^2 -16 = a^2-a^2-3a+2\\-16-2=-3a+2-2\\-18=-3a\\-18/-3=-3a/-3\\a=6[/tex]

5) I'm going to use distributive propoerty when I cross multiply. Then I will setup an equation like number 4 and solve for m.

[tex]\frac{5m-2}{3}=\frac{8-3m}{5} \\[/tex]

[tex]5(5m-2)=3(8-3m)\\25m-10=24-9m\\25m+9m-10=24-9m+9m\\34m-10=24\\34m-10+10=24+10\\34m=34\\34m/34=34/34\\m=1[/tex]

Answer:

the answer is 42

Step-by-step explanation:

you multiply the sides to get the area

Answer:

1

Step-by-step explanation:

The only number 24 and 25 can both have is 1

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

We can find the total surface area of cubiod by summing up the area of the six faces of the cubiod:

Surface Area = 2(lw+ wh + hl)

Substituting the required values:

➝ Surface Area = 2(10 × 4.1) + (4.1 × 3.7) + (3.7 × 10)

➝ Surface area= 2(41 + 15.17 + 37)

➝ Surface Area = 2(93.17)

➝ Surface Area = 186.34 cm²

Hence,

Answer:

70x+91

Step-by-step explanation:

Answer:

161

Step-by-step explanation:

Break it into separate parts based on order of operations:

[(3 x (2^5)) + (13 x (-2))] + 7[8 - (4 - 9)] then simplify:

3 x 32 + (-26) + 7[8 + 5]

96 - 26 + 7(13)

70 + 91

161

Answer:

65.2%

Step-by-step explanation:

~Hope this helps~

Let the number be x.

subtract 4:-

x-4 (4 less)

this expression equals 9:-

x-4=9 (Option C)

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

surface area of the balloon is 199 cm^2

Answer:

He worked about 5.5 hours

Step-by-step explanation:

Im pretty sure

Answer:

7.5  hours

Step-by-step explanation:

h=hours

30+8h +12-8 =94

8h+34=94

8h =60

h= 7.5

Answer:

I belive that will be a trapazoid

Step-by-step explanation:

Both sides on the top and bottom are parallel
Please tell me if im wrong!

Answer:

Trapezium

Step-by-step explanation:

It has exactly one pair of parallel sides

3/8 = 0.375

2/3 = 0.667

0.375 + 0.667 = 1.042

answer : c. no, because 3/8 + 2/3 is more than 1

Using the normal distribution and the central limit theorem, it is found that the probability that the mean plant height is less than 9.5 cm is of 0.9388.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 9.31, \sigma = 0.55[/tex].

For samples of n = 20, the standard error is given by:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]s = \frac{0.55}{\sqrt{20}}[/tex]

s = 0.123.

The probability that the mean plant height is less than 9.5 cm is the p-value of Z when X = 9.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{9.5 - 9.31}{0.123}[/tex]

Z = 1.54.

Z = 1.54 has a p-value of 0.9388.

Hence the probability that the mean plant height is less than 9.5 cm is of 0.9388.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Answer:

i) 8

ii) 9

Step-by-step explanation:

For i):

1 = million

7 = hundred thousand

8 = ten thousand place

3 = thousand

4 = hundred

2 = tens (twenty)

1 = unit (one)

For ii):

The successor of a number is the number that comes after the given number. The successor of a given number is 1 more than the given number. Every number has a successor by adding 1 to every number.

For instance, the successor of 0 is 1, the successor of 1 is 2, and so on.

In this case, the successor of 8 is 9 because 8 + 1 = 9

Hope this makes sense. If you need further explanation, let me know.

- profparis

Answer:

i)8

ii)1783429

Step-by-step explanation:

for i, count upto ten thousand and for ii, add 1 to the number

Answer:

48/2.40    =    60/360

Step-by-step explanation:

do a proportion chart

Step-by-step explanation:

Angles XVW and XYZ are congruent, and so are angles VWX and XZY by the alternate interior angles theorem.

This means that triangle VWX is similar to triangle YZX.

So, since corresponding sides of similar triangles are proportional, VW/XY = WX / XZ.

120/8 = 15 = WX / 6.

So the width is 90 m.

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

Explanation:

Choice a) can be ruled out because angles A and D are supplementary. Supplementary angles add to 180 degrees by definition. They form a straight line or straight angle.

Choice b) and choice d) are eliminated for similar reasoning as choice a).

Choice c) is the only thing left. It turns out that angles B and D are not supplementary, but rather they are vertical angles. They are opposite one another in this X shape. Vertical angles are always congruent.

Note: Angles B and D are supplementary if and only if the angles are 90 degrees each.

Answer:

I am stuck on this two

Step-by-step explanation:

rectangle, 6 8 14 12

Answer:

100 cubic centimetres

Step-by-step explanation:

Volume of Cone = 1/3 pie r^2 h

= 1/3 × 3.14 × 4 × 4 × 7

= 117.226

= 100 cubic centimetres ( nearest hundredth)

Answer:

Circumference of a cicle in terms of radius:

Circumference = 2·π·r = 2·3.14·3 = 18.85(*)

In terms of diameter:

Circumference = π·d = 3.14·6 = 18.84(*)

In terms of area:

Circumference C = √4·π·A = √4·π·28.27 =18.85

Step-by-step explanation:

radius= 3in.

the circumference of the circle.

formula C=2πr

=2·π·3

≈18.84956in

nearest hundredth= 18.85in

Answer:

so many just add them 12+7+15+8=

Answer:

m=12h+7

m=15h-8

Answer:

B

Step-by-step explanation:

9833923

Answer:

1/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

#1. right 5 units

#2. down 2 units

#3. The translation rule is (5, -2)

Answer:

73.81

Step-by-step explanation:

You know that the formula for circumeference is 2(pi)r.

2x3.14x11=69.08;

However, a part of the circle is cut off, leaving 3/4 of it.

3/4x69.08=51.81.

However, you add the 11+11 to it because of the slice.

22+51.81=73.81

Answer: -1

Step-by-step explanation:

Answer: 12:55 is the answer

Step-by-step explanation:

dont delete this brainly

The height of the center of the clock above the ground is 52 feet such that the length of the minute hand of the clock is 6 feet and at 10 minutes after the hour, the tip of the minute hand is 55 feet above the ground.

The trigonometric function, [tex]sin\theta=\dfrac{perpendicular}{hypotenuse}[/tex] .

From the given information, the following pictorial representation can be made.

The distance between the centre of the clock and the the point of the minute hand 10 minutes after the hour is-

[tex]x=6sin30\\x=3\text{ft}[/tex]

Now, from the figure,

The height of the center of the clock above the ground is-

d=6+(55-3-6)

=52 ft

Thus, the height of the center of the clock above the ground is [tex]52\text{ft}[/tex]

Learn more about trigonometric functions here-

https://brainly.com/question/14746686

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