A group of people were asked if they had run a red light in the last year where 140 responded "yes," and 208 responded "no." If a person is randomly chosen, find the probability that he/she has run a red light in the last year. Give your answer as a fraction or decimal.

Answer:

7

Step-by-step explanation:

we use Pythagorean theorem for solving x

a^2 + b^2 = c^2

c^2 - a^2 = b^2

(√58)^2 - (3)^2 = b^2

58 - 9 = b^2

49 = b^2

b = 7

Answer:

60009=hh

Step-by-step explanation:

Answer:

[tex]{ \tt{pH = - log[H {}^{ + } ]}} \\ pH = - log(4.2 \times {10}^{ - 5} ) \\ pH = 4.38[/tex]

Step-by-step explanation:

H

pH of a solution is 4.38

"The pH of a solution refers to the strength of solution whether it is acidic or basic in nature It is considered by the concentration of hydrogen ion in the solution."

We have,

Concentration of [tex]4.2[/tex]×[tex]10^{-5}[/tex][tex]MH_{3}O[/tex]

pH = [tex]-log(H^{+})[/tex]

⇒pH = [tex]-log(4.2[/tex]×[tex]10^{-5})[/tex]

⇒pH = 4.38

∴ pH of a solution is 4.38

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Answer:

x=33

Step-by-step explanation:

The angles of a straight line always add up to 180°.

Hence, (x+13)+(4x+2)=180 we can then remove the parenthesis and we get x+13+4x+2. Adding the two, we get 5x+15=180--->x=33

The two angles:

46° and 134°

completing the steps in the image, you should choose supplementary in the drop-down. Supplementary means the angles add up to 180 degrees In the next blank, put 4x+2. In the last blank, put 180 degrees.

9514 1404 393

Answer:

Step-by-step explanation:

1. The only "Given" statement involving QR is ...

  QR ≅ SR

2. You will notice that PQ ≅ PS is a Given statement.

3. The reflexive property says a segment is congruent to itself:

  PR ≅ PR

4. All three sides of the triangles have been shown to be congruent. The appropriate choice for the postulate that shows congruence of the triangles is the SSS Postulate.

Answer:

(- 4, - 12 ) , (4, 12 )

Step-by-step explanation:

Given the 2 equations

y = 3x → (1)

y = x² + 3x - 16 → (2)

Substitute y = x² + 3x - 16 into (1)

x² + 3x - 16 = 3x ( subtract 3x from both sides )

x² - 16 = 0 ( add 16 to both sides )

x² = 16 ( take the square root of both sides )

x = ± [tex]\sqrt{16}[/tex] = ± 4

Substitute these values into (1) for corresponding values of y

x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )

x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )

Answer:

[tex]Area =( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\[/tex] [tex]\ cm^2[/tex]

Step-by-step explanation:

The figure is a combination of rectangle and a quarter of a circle.

Therefore,

                    Area = Area of rectangle x Area of quarter of the circle

                             [tex]= (Length \times breadth ) + ( \frac{1}{4} \pi r^2)\\\\=( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\[/tex]

Bella took the sum of area of rectangle and area of entire circle.

That is why Bella is wrong.

Answer:

DEC and AEB are the same angles

Answer:

a

Step-by-step explanation:

first one i believe

Answer:

[tex]{ \tt{ - \frac{10}{10}}} , \: { \tt{ - \frac{11}{10} }}, \: { \tt{ - \frac{12}{10} }}, \: { \tt{ - \frac{13}{10} }}......{ \tt{ - \frac{20}{10} }}[/tex]

Answer:

15.58

Step-by-step explanation:

Hope this helps.

x^3= 125000 m^3

x=50 m

Answer:

x = 7

Step-by-step explanation:

A median bisects the opposite side length, therefore

14x = 6x+56

8x = 56,

x = 7

Answer:

x = 7

Step-by-step explanation:

given:

AM is the median

BM = 14x

MC = 6x + 5x

since the median is drawn fron vertex A to BC it bisects the BC into two equal halves. So,

14x = 6x + 54

14x - 6x = 54

8x = 54

x = 54/8

x = 7

Answer:

Ok so we know that the angle on top is 110 since the angle above is the same.

we also know that all the angle of the triangle will add up to 180 so

D+(180-E)+110=180

we also know that d and the angle directly across are the same so

180-110=70

70divide by 2 equals 35

now we subtratch 35 from 180 to get 145

E=145

D=35

Your Welcome

BIFFY OUT!!!

Answer:

d=e=35 degree

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

It asks for the y-intercept. The y-intercept is (0,?) the slope is -3 which means it's decreasing by 3. 5+3=8 so 8 is the y-intercept.

Hope this helps and pls tell if it's correct.

Explanation:

We simply list each letter one time. Any duplicates are tossed. If you sorted the letters alphabetically, then you'd get {C, E, I, L, N, O, T}. However, the order doesn't matter with sets.

Note: This listing method is another name for "roster method". Think of how sports teams list their roster, which is basically just a list of the players' names.

9514 1404 393

Answer:

  x = -9

Step-by-step explanation:

The value 13-8x apparently is the measure of the arc in degrees. That is the same as the measure of the central angle, shown as 85°. Then we have ...

  85 = 13 -8x

  72 = -8x . . . . . . subtract 13

  x = -9 . . . . . . . . divide by -8

The value of x is -9.

Answer:

.

Step-by-step explanation:

Answer:

73.13 m^2

Step-by-step explanation:

1/2(bh)

Pi(d)

Answer:

C. 64, 32, 16

Step-by-step explanation:

This geometric sequence is made by dividing the numbers by 2:

512 ÷ 2 = 256

256 ÷ 2 = 128

Hence, the next term will be

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

Therefore, the correct answer is C.

The next 3 terms in the given geometric sequence are 64, 32, and 16, respectively. The correct option is C.

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

The given series is a geometric sequence, therefore, the common ratio between any two terms will be the same. Therefore, we can write, the ratio as,

Common ratio, r = a₂ / a₁ = 256 / 512 = 1/2

Now, the nth term of the given sequence can be defined as,

aₙ = a₁ × r⁽ⁿ⁻¹⁾

   = 512 × (1/2)⁽ⁿ⁻¹⁾

Therefore, the next term of the given geometric progression will be,

a₄ = 512 × (1/2)³ = 64

a₅ = 512 × (1/2)⁴ = 32

a⁶ = 512 × (1/2)⁵ = 16

Hence, the next 3 terms in the given geometric sequence are 64, 32, and 16, respectively.

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Answer:

No,

Step-by-step explanation:

No, it's irrational.

Because, it is a non-terminating non recurring type number.

Answer: 11 because it all works out.

Answer:

yes it's ok and I'm sorry I didn't get it

Answer:

see below

Step-by-step explanation:

sin(x)=1

Take the inverse sin of each side

sin ^ -1(sin(x))=sin ^-1(1)

x =90 + 360n where n is an integer

We can go around the unit circle and find more solutions

When x = 450, sin 450 = 1

When x = -270, sin (-270) = 1

Answer:

∠ JKL = 70°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary , then

∠ JKL + ∠ HJK = 180°

∠ JKL + 110° = 180° ( subtract 110° from both sides )

∠ JKL = 70°

Answer:

70

Step-by-step explanation:

did it before

Answer:

hey. pls complete your question

Answer:

1) Given

2) vertical angles

3) SAS

4) CPCTC

5) Angle Addition

6) By construction

7) Transitive

Step-by-step explanation:

Answer:

√113

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(-5 - 3)² + [6 - (-1)]²

√(-8)² + (7)²

√(64) + (49)

√113