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Answer: 5798

Step-by-step explanation:

Probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes.Probability is always less than or equals to one."

Formula used

For binomial experiment

Probability =  [tex]^n C_r p^{r} q^{n-r}[/tex]

[tex]p =[/tex]success rate

[tex]q=[/tex] failure rate

[tex]p+q=1[/tex]

[tex]n=[/tex]Number of trials

[tex]r=[/tex] number of success

According to the question,

Total number of trials [tex]'n' =4[/tex]

Number of success [tex]'r' =1[/tex]

[tex]p = 0.35\\\\q = 1-0.35\\ \\\implies q = 0.65[/tex]

Substitute the value to get the required probability,

Probability [tex]= ^4C_1 (0.35)^{1}(0.65)^{4-1}[/tex]

                   [tex]=\frac{4!}{(4-1)!1!} \times\frac{35}{100}\times(\frac{65}{100})^{3} \\\\= 4 \times \frac{35}{100}\times \frac{274625}{1000000} \\\\= 0.384475[/tex]

                   ≈ [tex]0.4[/tex]

Hence, probability of [tex]1[/tex] success as per given condition is equals to [tex]0.384475[/tex] ≈ [tex]0.4[/tex].

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Answer:

Lateral surface area = 154cm²

Step-by-step explanation:

h = 10cm

pi = 22/7

base area = 154cm²

2πrh = 154cm²

2 × 22/7 × r × 10 = 154

440/7 × r = 154

r = 154 ÷ 440/7 = 2.45

r = 2.45

LSA of right circular cylinder = 2πrh

2 × 22/7 × 2.45 × 10

44/7 × 24.5 = 1078/7

1078/7 = 154

Therefore, lateral surface area = 154cm²

Hope it helps:)

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Since they form corresponding Angle pair ~

Answer:

1. -20

2. 27

3. 36

4. -200

Answer:

i. 4x² + 96x + 512

ii. 1,092 m²

Step-by-step explanation:

i. [ 36 + 2 (x - 2) ] × [ 20 + 2 (x - 2) ]

= (36 + 2x - 4) (20 + 2x - 4)

= (32 + 2x) ( 16 + 2x)

= 512 + 64x + 32x + 4x²

= 4x² + 96x + 512.

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

ii. If x = 5

then 4x² + 96x  + 512

= 4 × 25 + 96 × 5+ 512

= 100 + 480 + 512   (Simple calculation)

= 1,092 m²

Answer:

The measure of <CAO = 21°

Answer:

The first and third are functions.

Step-by-step explanation:

Functions must have only one y-value for an x-value.

Answer:

[tex]\frac{a}{3} =b[/tex]

Step-by-step explanation:

a = 2a - 3b

→ Minus 2a from both sides

-a = -3b

→ Multiply everything by -1

a = 3b

→ Divide both sides by 3

[tex]\frac{a}{3} =b[/tex]

Answer:

b = 2/3a -1/3A

Step-by-step explanation:

A=2a-3b

Subtract 2a from each side

A-2a=2a-2a-3b

A -2a = -3b

Divide each side by -3

A/-3  -2a/-3 = -3b/-3

-A/3 + 2/3a = b

b = 2/3a -1/3A

Answer:

undefined slope

Step-by-step explanation:

The points contain the same x-value. This means that the line is vertical.

All vertical lines have an undefined slope.

Hope this helps.

Step-by-step explanation:

option C is correct!

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Step-by-step explanation:

you don't understand what the multiplication or division with 10 (or a higher power of 10) does ?

or you don't know. what 10² means ?

this means 10 to the power of 2 or 10 squared and is simply 10 multiplied with itself 2 times : 10×10.

and 10×10 is ... 100.

as you can imagine, this is not restricted to the number 2 (and 10). "power of" can be any number and just indicates how often the base number is multiplied with itself.

a surcharge case is "power of 0", which is simply 1.

now that we understand that, let's have a quick look at how the numbers we are dealing with (in daily life as well as in class and in science) are actually built :

when I write e.g the number

1234

then this actually means

4×10⁰ + 3×10¹ + 2×10² + 1×10³

when I multiply this now by e.g. 10 this becomes

4×10⁰×10 + 3×10¹×10 + 2×10²×10 + 1×10³×10 =

4×10¹ + 3×10² + 2×10³ + 1×10⁴

as you can see, the previous "single" position 4 now becomes a 40.

and the result looks in short form :

12340

so, a multiplication by 10 adds a 0 at the low end of the number.

a multiplication by 10² or 100 (= 10×10) adds then 2 0s at the low end. and so forth.

a division by 10 does the opposite and removes a 0 at the low end of the number.

but what if we don't have any 0 at this position of the number ? then we enter the system of the decimal point.

because on the right side of the decimal point we continue to countdown the exponent of 10 below 0.

the first position right of the decimal point stands for 10^‐1, the second position for 10^‐2, and so forth. and that is nothing else than tenths, hundredths, thousandths, ...

so, in short, a multiplication by 10 moves the decimal point one position to the right. and if we run out of written positions, then we can simply assume an infinite sequence of 0s continuing further to the right.

and a division by 10 moves the decimal point one position to the left. and if we run out of written positions, then we can simply assume an infinite sequence of 0s continuing further to the left too that are then showing up on the right side of the decimal point.

now, I think we covered all the basics and we can look at the question here :

10² × 18.72

10² = 100 = 10×10

so, we are multiplying twice by 10 and move the decimal point therefore 2 positions to the right.

the result is then

1872

as a little guide : when it is clear that the number has to get bigger by the operation (like a multiplication by 10 or 100), you need to move the decimal point in the direction that makes the number bigger (which is to the right).

and if the operation is clearly trying to make the number smaller, then you have to move the decimal point in the direction to make the number smaller (to the left).

Answer:

The equation y = 2x - 3 represents a line with a slope of positive 2, and a y-intercept of -3.

Hope it helps :)

[tex]5 \frac{2}{5} [/tex]

Hope it helps.

Do comment if you have any query.

Answer:

5 2/5

Step-by-step explanation:

Step-by-step explanation:

we see f(x), which is |x|.

and we see g(x), which is clearly the same basic graph, it is just shifted 3 units down in y direction.

shifts are simply done by keeping the original function definition and then add it subtract a certain constant that then adapts every original functional value.

so, a shift down by 3 units is done by adding -3.

therefore, C is the correct answer (the original f(x) - 3).

Answer:

x=3 and y=2

Step-by-step explanation:

These equations line up quite nicely, so let's use the elimination method.

x+y=5

+ x-y=1

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

2x=6.

Now that we added the two equations together, we only have x as a variable to solve. We now divide 2 from both sides

x=3.

Now we take our 3 and substitute it into one of the equations. I want to put it in the first one.

3+y=5.

We subtract 3 from both sides to get y=2.

We end up with the answers x=3 and y=2. If you plug them in to check, they make sense. 3+2=5 and 3-2=1. This answer is proven to be correct.

Have a nice day :)

Answer:

2 inches per hour

Step-by-step explanation:

The first snowfall was in two hours with an accumulation of 4 inches, so 4/2=2 inches per hour

Answer:

[tex]b=27[/tex]

Step-by-step explanation:

[tex]\frac{b}{3} -7=2\\\\\frac{b}{3}=9\\\\b=27[/tex]

Invisible Steps:

Add 7 on each side of the equation:

[tex]\frac{b}{3}-7+7=\frac{b}{3}\\2+7=9[/tex]

Multiple 3 on each side of the equation:

[tex]\frac{b}{3}[/tex] · [tex]3=b[/tex]

[tex]9[/tex] · [tex]3=27[/tex]

The answer is (-2, 1) Step-by-step explanation

Answer:

Well apparently you don't know your Alphabet

Step-by-step explanation:

So it is

A.B.C.D.E.F.G.H.I.J.K.

The correct order is ABCH.

Arrangement according to the normal order of the letters in the alphabet.

Given that a puzzle

The correct order of alphabets to reach the key is ABCH.

Hence, the answer is ABCH.

For more references on Order of Letters, click;

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Answer:

-3×4= -12

-2×4= -8

three rational number between them are -11 , -10 , -9

Step-by-step explanation:

hope that it will help you

The rational numbers between -3 and -2 are;

-5/2, -9/4 and -11/4

Rational numbers are numbers that can be represented as the quotient of two integers but not equal to zero.

Now, to find the rational number between -3 and -2, we will use the formula;

x = ½(a + c)

x = ½(-3 + (-2))

x = -5/2

Another rational number is;

x = ½(-(5/2) + (-2))

x = ½(-9/2)

x = -9/4

Using the same pattern, we can still get another one as -11/4

In conclusion, the three rational numbers will be -5/2, -9/4 and -11/4

Read more about rational numbers at; https://brainly.com/question/12088221

Answer:

150.884615385

Step-by-step explanation:

3923÷26=150.8846153846153

Answer:

z = 9 I think

Step-by-step explanation:

Because I did the quiz

Answer:

[tex]x=90[/tex]

Step-by-step explanation:

2x - 10 and x + 80 are parallel lines and equal each other.

[tex]2x-10=x+80\\x-10=80\\x=90[/tex]

Answer:

90

Step-by-step explanation:

i had this question too

Answer:

24 is 40% of 60

Step-by-step explanation:

Answer:

1.65

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

We can see that some of the points that are plotted we can tell what those plots are (-2, 0) (1, 2) (4, 4)

We use the slope formula [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]  for any of the two plots that are shown on the line

Answer:

2/3

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

1. 10^8 × 10^4 = 10(8+4) = 10^12.

2. (11^5)^4 = 11^(5*4) = 11^20.

3. 8^6 ÷ 8^3 = 8^(6-3) = 8^3.

4. (12^2) × 12^4 = 12^6.

5. (13^4) ÷ 13^5 = 13^(4-5) = 13^-1.

6. (5^2 × 5^3) ÷ 5^4 = 5^5 / 5^4 = 5.

7. 18^4 ÷ 18^6 = 18^-2.

8. (19^2)^4 ÷ 19^8​ = 19^8 / 19^8  = 18^(8-8) = 18^0 = 1.

Answer:

97

Step-by-step explanation: