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Answer:

The probability is  [tex]P(X < 25) = 0.308[/tex]

Step-by-step explanation:

From the question we are told that

   The amount of time is uniform probability distribution between 21 and 38 minutes.

  Given that the amount of time is uniformly distributed then  the probability that a randomly selected car will require less than 25 minutes to service is mathematically evaluated as

           [tex]P(X < 25) = \frac{ 25 - 21}{38 - 21}[/tex]

=>       [tex]P(X < 25) = 0.308[/tex]

Answer:

Cedric's share=$120

Abel's share=$60

Step-by-step explanation:

Abel will receive half as much as Cedric

Let

Cedric's share=x

Abel's share = 1/2 of x

Total money=$180

x + 1/2x = 180

2x+x/2 =180

3/2x=180

Divide both sides by 3/2

x= 180÷3/2

=180 × 2/3

=360/3

=120

Therefore,

Cedric's share = x = 120

Abel's share=1/2x

=1/2 × 120

=120/2

=60

Cedric's share=$120

Abel's share=$60

Answer:

= 22 + 3,0 + 1 = 36

= -20 + 3 = -17

= -62 + 10 = -52

= 2 x (-7) = -14

= (-322) - 30 + 11 = 281

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Answer: 1,150

Step-by-step explanation:

100 x 5 = 500

150 x 3 = 450

500 + 450 + 200

Connor has 1,150 points

Answer:  2/5

Step-by-step explanation:

[tex]-\frac{2}{5} + \frac{4}{5}[/tex]= 2/5

Answer:

−2/5 + 4/5= 2/5

2/5

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Answer:

x = 10

Step-by-step explanation:

Subtract 5 from both sides:

2x + 5 = 25

2x = 20

Divide each side by 2

x = 10

Answer:

x=10

Step-by-step explanation:

25-5 = 20, so then you divide 20 by 2 to get 10

Answer:

-6x^2-4x-9

Step-by-step explanation:

(–6x^2 – 3x – 1) - (x + 8)

Distribute the minus sign

–6x^2 – 3x – 1 - x - 8

Combine like terms

-6x^2-4x-9

Answer:

Arectangle=27.68cm (approximately)

Step-by-step explanation:

in order to find the area of the rectangle first you need to find the measure of the length and width.

since both of them aren't given ,use trigonometry to find the value of the length and width.

sin30°=opposite/hypotenuse

sin30°=opposite/8cm

opposite=sin30°*8cm. >sin30°=0.5

opposite=4cm

cos30°=adjacent/hypotenuse

cos30°=adjacent/8cm

adjacent=cos30°*8cm. cos30°=0.866

adjacent=6.92cm (approximate value)

Arectangle= bh

Arectangle=4cm*6.92cn

Arectangle=27.68cm

Answer:

The quadratic equation has two complex solutions.

Step-by-step explanation:

5x² + 6x + 2 = 0

To know the the correct answer to the question, we shall determine the discriminant of the equation. This can be obtained as follow:

5x² + 6x + 2 = 0

ax² + bx + c = 0

Comparing the above equation, we can obtain:

a = 5

b = 6

c = 2

Discriminant (D) =?

D = b² – 4ac

D = 6² – (4 × 5 × 2)

D = 36 – 40

D = – 4

Since the discriminant of the equation is less than 0, it means that the equation has no real root ( i.e the equation has two complex solution).

Answer:

C. 5

Step-by-step explanation:

The "second term" is basically just the second coefficient/variable pair. The first one is -6n and the second one is 5n. The coefficient is the number attached to the variable, and in 5n, 5 is the coefficient.  

Answer:

Each hashmark represents 10 years, concil of trent was for 25 years,

pls give thanks and mark brainliest

Answer:

It's TEN and EIGHTEEN.

Step-by-step explanation:

Answer:

3.6399 = 3.640

Step-by-step explanation:

[tex]3.6399\\1\:2\:3[/tex]

Rounding to nearest thousandth means rounding to 3 decimal place

(0 to 4) =round down

(5 to 9)= round up

Answer:

11.52%

Step-by-step explanation:

Price (p0) = 58.6

Dividend (D1) = 6.75

P0= D1/ke

58.6 = 6.75/ke

ke = 6.75/58.6

ke = 0.1152 or 11.52%

Rate of return (ke) = 11.52%

Answer:

16 inches

Step-by-step explanation:

in a triangle, the sum of any two sides must be greater than the third side

Answer:

Hey there!

4a^2-20a+25 can be factored to (2a-5)(2a-5). Thus, the side length of the square is 2a-5. Basically, we want to find two of the same binomials that can multiply to get 4a^2-20a+25. For example, 2a times 2a = 4a^2, and you can use the foil method to solve for the rest.

4a^2 - 20a +25

(2a)^2 - 20a + (-5)^2

(2a - 5)^2

(9a2 − 16b2) is just a difference of squares, and can be factored to (3a+4b) and (3a-4b). The difference of squares formula can give us this.

Let me know if this helps :)

Answer:

Step-by-step explanation:

Part A

[tex]4a^{2} -20a+25\\\\=(2a)^2-2(5)(2a)+5^2[/tex]

does that seems familiar?

it's because it's a perfect square that can be factorized as

[tex](2a-5)^2[/tex]

so the length of each side is

2a-5 both of them

Part B

[tex]9a^2-16b^2[/tex]

[tex](3a)^2-(4b)^2[/tex]

that's a difference of squares you know [tex]x^2-y^2=(x-y)(x+y)[/tex]

so

[tex](3a-4b)(3a+4b)[/tex]

so the lengths are

3a-4b and 3a+4b

Answer:

Step-by-step explanation:

the prime factors of 1470= 2 x 3 x 5 x 7 x 7

also of 7056=2 x 2 x 2 x 2 x 3 x 3 x 7 x 7

hence of

1470 x 7056=2 x 3 x 5 x 7 x 7 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7

required answer pls hit the stars and brain-list it

Answer:

Hello

Step-by-step explanation:

From the answer to the second Question...

x²-6x+9 = -13 + 9

Factorize L.H.S

x² - 3x - 3x + 9 = -4

x(x - 3) - 3(x - 3) = -4

(x - 3)(x - 3) = -4

(x - 3)² = -4

Hence the answer is

[tex] \color{purple}{ \boxed{ {(x - 3)}^{2} = - 4}}[/tex]

Answer:

-3 and -4 are the correct answers!!

Answer:

0

Step-by-step explanation:

[2(4)-12]+[1/2(4)(7)-10]

(8-12)+(2(7)-10)

-4+14-10

0

Answer:

Since I can't draw it I'll give you the answer. 2,000 g.

Step-by-step explanation:

A kilogram is 1000 grams. Multiply 1000x2 to get 2000. But add the g for grams or the answer is considered wrong by teachers.

Answer:

False

Step-by-step explanation:

The assumption of ANOVA are:

1)  the k- samples are selected randomly and independently from the respective populations

2) All the k population from which samples are drawn are normally distributed with means u1,u2, u3,........

3) the observations are random samples drawn from normally distributed populations with equal variances. The technical term for this assumption is Homoscedasticity.

Failure of any assumption will impair the technique. However, minor deviations can be tolerated. Sometimes square roots and logs are used to make assumptions true.

Answer: 100

1. Set a proportion.

[tex]\frac{20}{x} = \frac{20}{100}[/tex]

x = 100

How do I make sure if it is correct?

100 x .2 = 20

Answer:

2 2/3 cups of flour

Step-by-step explanation:

To answer this question you need to multiply 1 1/4 by 2 2/3

To multiply first make each mixed number an improper fraction

This means multiplying the whole number by the denominator, then adding the numerator

For example 1 1/4 would become 5/4 because 4 x 1 = 4 and 4 + 1 = 5, & 2 2/3 would be 8/3

Now multiply the numerator and denominator (5/4 x 8/3)

30/12 simplified to 8/3 (2 2/3)

Answer:

Patricia's account balance after thirteen years is $867.16

Step-by-step explanation:

This problem is on simple interest calculation

we know that the formula for simple interest is given as

A= P(1+rt)

Given that

P= $612.40

r= 3.2%= 0.032

t= 13 years

Applying the formula we have

A= 612.40(1+0.032*13)

A= 612.40(1+0.416)

A= 612.40(1.416)

A= 867.1584

A= $867.16

Answer:

r = 0

Step-by-step explanation:

To solve this for r, add 20 to both sides.  The result will be -10r = 0, and so

the solution is r = 0.

Answer:

0

Step-by-step explanation:

-10r - 20 = -20

-10r = -20 + 20

-10r = 0

r = 0

Answer:

-4 ≤ x ≤ 0

Step-by-step explanation:

Given

x ≤ 0 or x ≥ -4

Required

Write using Interval notation

x ≤ 0 or x ≥ -4

This can be rewritten as

x ≤ 0 or -4 ≤ x

Reorder the above inequality to give:

-4 ≤ x or x ≤ 0

The above inequality can then be combined to give

-4 ≤ x ≤ 0

Hence, the interval notation of x ≤ 0 or x ≥ -4 is -4 ≤ x ≤ 0

Answer:

y=4

Step-by-step explanation:

5x4=20

20x4=80

80x4=320

and so on

Answer:

y = 5 * 4^x

Step-by-step explanation:

For each iteration of x, the output of y is increased by a multiple of 4.

So we can write the equation y = 5*4^x

Cheers.

Answer: y=(-1/4)x

Step-by-step explanation:

slope-intercept form: y=ax+b

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

#1 Find the slope

- Use rise/run: -(2/8)=-1/4

-Use slope formula: (2-0)/(-8-0)=2/-8=-1/4

#2 Find the y-intercept

- Given the point (0,0), the y-intercept is already shown which is 0

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

a=-1/4

b=0

y=(-1/4)x

Answer:

Step-by-step explanation:

√108 ÷ √125 + √75

= 6√3 ÷ 5√5 + 5√3

= 11√3 / 5√5

hope this helps

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