The positive integers P, Q, R, S and T increase in
order of size such that the value of each
successive integer is more than the
preceding integer and the value of T is 6. The
value of S is :​

Step-by-step explanation:

3x+2x+10=180

5x+10=180

5x=170

x=34

so the value of x is 34

The value of x is 34.

Here,

Angle 1 and angle 2 are supplementary.

And, angle 1 measures 3x and angle 2 measures 2x + 10.

We have to find the value of x.

What is Supplementary angle?

Supplementary angles are those angles that sum up to 180 degrees.

Now,

Angle 1 and angle 2 are supplementary.

⇒ ∠1 + ∠2 = 180°

And, angle 1 measures 3x and angle 2 measures 2x + 10.

⇒ 3x + 2x + 10 = 180

⇒ 5x + 10 = 180

⇒ 5x = 170

⇒ x = 34

Hence, The value of x is 34.

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Answer:

3[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Find 'c' first by using the Altitutude Rule:

4/c = c/9

cross-multiply to get:

c = [tex]\sqrt{36}[/tex] or 6

Now you can find 'a' by using the Pythagorean Theorem:

4² + 6² = a²

a = [tex]\sqrt{52}[/tex]

Now you can find 'b' by using the Pythagorean Theorem:

([tex]\sqrt{52}[/tex])² + b² = (9+4)²

52 + b² = 169

b² = [tex]\sqrt{117}[/tex]

b = [tex]\sqrt{117}[/tex] = [tex]\sqrt{3}[/tex][tex]\sqrt{3}[/tex][tex]\sqrt{13}[/tex]

b = 3[tex]\sqrt{13}[/tex]

Answer:

  .

Step-by-step explanation:

Answer:

0.017578 or 1.76%

Step-by-step explanation:

The probability of getting at least 12 heads is 0.01757.

In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1-  p), depending on the outcome's boolean value.

Given a coin is tossed 15 times,

to find the probability of getting 12 heads,

P(X ≥ 12)  Probability of at least 12 successes

At least 12 successes include X-values of

X=12, 13, 14, 15

To solve this problem, find the sum of the binomial probabilities for each of the values of X, or if there is only one value of X, find the probability of P(X). In this problem,

P(12) + P(13) + P(14) + P(15)

P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)

p(x) = ⁿCₓpˣqⁿ⁻ˣ

n = 15

P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)

P(X ≥ 12) = ¹⁵C₁₂(0.5)¹²(0.5)¹⁵⁻¹² + ¹⁵C₁₃(0.5)¹²(0.5)¹⁵⁻¹³ +  ¹⁵C₁₄(0.5)¹²(0.5)¹⁵⁻¹⁴

                      +  ¹⁵C₁₅(0.5)¹²(0.5)¹⁵⁻¹⁵

P(X ≥ 12) = 0.01388 + 0.00320 + 0.00045  + .0000030

      P(X ≥ 12) = 0.01757

Hence probability is  0.01757.

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Answer:

1). 3

2) 4

3). 4

4). 5

hope it helps ☺️☺️

Answer:

y

Step-by-step explanation:

Variables are letters or symbols in an equation that represent a value we do not know.

In this equation, there is a y. y is not a number, but a letter, meaning this is the value we do not know, or the variable.

Answer:

y

Step-by-step explanation:

It is y because 8 will be constant and 3 will be a term I think and i know for y is variable

Answer:

1. 1/2

2. 2/5

3. -1

4. 1/2

Step-by-step explanation:

slope is equal to rise/run

you take two points and count how far up and sideways

if it is down make it negative

Answer:

It takes Garret 15 mins to remove one ft of hem.

(cause 4" for 5 mins x 3 = 12" for 15 mins)

He should multiply the number of minutes by 5 to determine the number of minutes to remove 5 ft of hem.

(15 x 5 = 75)

It will take 75 mins to remove 5 ft of hem.

Step-by-step explanation:

Answer:

Straight line. its 180degrees

Answer:

yes i agree it is most definitely a straight angle

Answer:

[tex]x \leq 6[/tex]

Step-by-step explanation:

because the ray travels left, x has to be lower than 6, and since it is a closed circle, means that 6 is included in the answer, so x is less than or equal to 6.

Answer:

[tex]x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}[/tex]

The solution line graph is also attached.

Step-by-step explanation:

Given

The inequality is given by

[tex]x+3>7[/tex]

To determine

What is the solution to the inequality?

Solving the given inequality

[tex]x+3>7[/tex]

Subtract 3 from both sides

[tex]x+3-3>7-3[/tex]

Simplify

[tex]x>4[/tex]

Thus,

[tex]x+3>7\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(4,\:\infty \:\right)\end{bmatrix}[/tex]

The solution line graph is also attached.

Answer:

x = 50

Step-by-step explanation:

x = 180 - 130 = 50

Answer:

x=50

Step-by-step explanation:

Answer:

Isosceles obtuse Triangle

Answer:

it is c and you also use something called desmos to help you with graphing questions

Answer:

First blank: Divide

Second blank: Multiply

Third blank: 25

Step-by-step explanation:

For the first part, you would divide to get X as itself

For the second part, you would multiple to cancel out the fraction and be left with whole numbers, which is much easier to work with

1.3 x 25 = 32.5, so that would be that answer

Answer:

6 yards in two hours

Step-by-step explanation:

3 times 2 is six

Answer:

6 hours

Step-by-step explanation:

beacause if you times the 3×2=6hours

#carry on learning

Answer:

5 ma boiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 = 27

2 = 36

2 = 1,000

Answer:

3^3 = 27

6^2 = 36

10^3 = 1000

Answer:

= 56°

= 34°

Step-by-step explanation:

3x + 5 + 2x = 90°

3x + 2x + 5 = 90°

5x + 5 = 90°

5x = 90 - 5

5x = 85

x = 85/5

x = 17

3x + 5

= 3(17) + 5

= 51 + 5

= 56°

2x

= 2(17)

= 34°

Answer:

x = - 1

Step-by-step explanation:

y = 4x + 3

y = -x - 2

Find x:

4x + 3 = -x - 2

5x + 3 = - 2 (Adding x to both sides)

5x = - 5 (Subtracting 3 from both sides)

x = -1 (Dividing 5 from both sides)

Answer: x = - 1

Answer:

im just trying to get points im sorry

Step-by-step explanation:

Answer:

0.0045248 ;

0.1312218 ;

0.0001809 ;

0.1659729

Step-by-step explanation:

Number of Kings in deck = 4

Total number of cards in deck = 52

Picking without replacement :

A = King on first draw :

P(A) = 4 / 52

A = King on 2nd draw :

P(B) = 3 / 51

A = King on 3rd draw :

P(C) = 2 / 50

1.) P(A n B) = P(A) * P(B)

P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248

2.) P(A u B) = P(A) + P(B) - P(AnB)

P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218

3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)

P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809

4.) P(A U B U C) =

P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)

P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769

P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529

4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729

Answer:

Step-by-step explanation:

Answer:

7.48

Step-by-step explanation:

find what 6% of 7.95 is and then subtrct that from 7.95 which gives u ur answer

Answer:

im going to say 2

Step-by-step explanation:

Answer:

use photomath

Step-by-step explanation:

all you.do is download it then scan your problem its that simple