The circumference of a circle can be found using the formula C = 2tr.​

Answer:

The answer is below

Step-by-step explanation:

A national standard requires that public bridges over 20 feet in length must be inspected and rated every 2 years. The rating scale ranges from 0​ (poorest rating) to 9​ (highest rating). A group of engineers used a probabilistic model to forecast the inspection ratings of all major bridges in a city. For the year​ 2020, the engineers forecast that 4​%of all major bridges in that city will have ratings of 4 or below.

a. Use the forecast to find the probability that in a random sample of major bridges in the​ city, at least 3 will have an inspection rating of 4 or below in 2020.

Answer:

This problem is a probability binomial distribution and it can be solved using the formula:

[tex]P(X=x)=C(n,x)p^xq^{n-x}\\\\q=1-p,C(n,x)=\frac{n!}{x!(n-x)!}[/tex]

Hence the solution to the problem is given as:

P(x ≥ 3) = 1 - P(x < 3) = 1 - [ P(x=0) + P(x=1) + P(x = 2)]

Given that p = 4% = 0.04, q = 1 - p = 1 - 0.04 = 0.96, n = 10. Hence:

[tex]P(x=0)=C(10,0)*0.04^{0}*(0.96)^{10-0}=0.6648\\\\P(x=1)=C(10,1)*0.04^{1}*(0.96)^{10-1}=0.277\\\\P(x=2)=C(10,2)*0.04^{2}*(0.96)^{10-2}=0.0519\\\\P(x\geq 3)=1-[0.6648+0.277+0.0519]=0.0063[/tex]

Answer: Sometimes true

Step-by-step explanation: Complementary angles are when two angles add up to 90 degrees. This will be true if the angles are both 45 and 45, however, some can be different like 50 and 40.

Answer:

Sometimes true if both angles are 45 degrees

Step-by-step explanation:

Answer:

Answer=A

Step-by-step explanation:

(when dividing two powers we subtract the upper power by the bottom one)

[tex]\frac{7^{10} }{7^{3} }[/tex]

=[tex]7^{10-3}[/tex]

[tex]7^{7}[/tex]

Answer:

0.2%

Step-by-step explanation:

We apply the z score formula.

This is given as:

Z score = x - μ/σ

x = Raw score = 140

μ = Population mean = 104

σ = Standard deviation = 12.5

z = 140 - 104/12.5

z = 2.88

Probability value from Z-Table:

P(x<140) = 0.99801

P(x>140) = 1 - P(x<140)

= 1 - 0.99801

= 0.0019884

Approximately = 0.0020

Converting to percent = 0.2%

Therefore, percent of the runners have heart rates above 140 is 0.2%

Answer: uhhhhhh pass

Step-by-step explanation:

Answer:

deductive reasoning

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula: Area=(a+b)/2 * h

72=(16+8)/2*h

72=24/2*h

72=12*h

h=72/12

h=6

It will be nice if you give me brainlies.Good luck!

Answer: (-∞,∞)

Step-by-step explanation: The line extends forever in both directions meaning that the endpoints will be negative infinity and infinity.

Answer:

The estimated gain in score for a student who is given an additional 32 minutes on the exam is 16.96

Step-by-step explanation:

The estimated regression prediction is given by:

[tex]\hat{y}=40+0.53x[/tex]

Where x denotes the time

y denotes the average score

A)

Substitute x = 98

[tex]\hat{y}=40+0.53(98) = 91.94[/tex]

B)

Substitute x = 129

[tex]\hat{y}=40+0.53(129) = 108.37[/tex]

C)

Substitute x = 159

[tex]\hat{y}=40+0.53(159) = 124.27[/tex]

D)the estimated gain in score for a student who is given an additional 32 minutes on the exam.

[tex]\hat{y}=40+0.53(x+32)=40+0.53x+9.57=y+16.96[/tex]

So, the estimated gain in score for a student who is given an additional 32 minutes on the exam is 16.96

Answer:

what question

Step-by-step explanation:

Answer:

1:6

Step-by-step explanation:

There are 20 triangles and four squares, so we know the first part of the ratio is 4. The total number of shapes is 24, so we get 4:24, and if we simplify, we then get 1:6.

Hope this helps!

There is a total of 16 squares, then the ratio of squares to total shapes is 4:9.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the given information provided by the question is,

Total number of squares = 16

Total number of shapes = 16 + 20 = 36

Ratio between squares and total shapes,

= 16 : 36

= 4 : 9.

To know more about arithmetic operation:

https://brainly.com/question/13585407

#SPJ2

Answer:

400 cm

Step-by-step explanation:

Given that:

Initial height at which ball was dropped = 100m

Rebound heights to the nearest cm = 60, 36, 22...

First we find the rebound percentage x;

x% * 100m = 60

100x % = 60

x = 60%

Hemce, we need to calculate the rebound velocities which aren't given:

0.6 * 22 = 13.2 = 13cm

0.6 * 13 = 7.8 = 8cm

0.6 * 8 = 4.8 = 5cm

0.6 * 5 = 3cm

0. 6 * 3 = 1.8 = 2 cm

0.6 * 2 = 1.2 = 1cm

The total distance the ball travels UP and DOWN :

(100 + 2(60) + 2(36) + 2(22) + 2(13) + 2(8) + 2(5) + 2(3) + 2(2) + 2(1))

= 400 cm

Answer:

a

Step-by-step explanation:

5(.02)

Answer:

The third answer

Step-by-step explanation:

Remember power over root and the 2 would not be under the root.

Answer:

the third one

Step-by-step explanation:

Answer:

Step-by-step explanation:

d = 3, r = 7

3r = 7d    3(7) = 7(3)    21 = 21    true

d/r = 7/3    3/7 ≠ 7/3    false

r/d = 7/3    7/3 = 7/3    true

7d = 3r    7(3) = 3(7)    21 = 21    true

3 of these statements are true, are you sure you got the question written down correctly?

Answer:

15=3s+1.5p

Step-by-step explanation:

can i please get brainliest?

Answer:

15=3s+1.5p

Step-by-step explanation:

15(total money spent)

3s     s=amount of bars

1.5p    p= amount of sports drinks

Answer:7

Step-by-step explanation:

Answer:

its c. y>1/3x-2

Step-by-step explanation:

Just took the quiz

Answer:

Each person picks up litter from a

✔ 1/10

km length of the road.

Which expression is equivalent to  4

5

 ÷ 8?

✔ 8/10

÷ 8

Step-by-step explanation:

Answer:

7758 :)

Step-by-step explanation:

Answer:

9000

Step-by-step explanation:

Answer: Length = 11

              Width = 9

Step-by-step explanation:

Let x represent the unknown length.

Let x - 2 represent the unknown width.

The perimeter is equal to 2 times x + (x -2)

Equation:

2 (x + (x - 2)) = 40

x + (x - 2) = 40/2

x + x - 2 = 20

2x - 2 = 20

2x -2 + 2 = 20 + 2

The length is: 2x = 22 -> x = 22/2 -> x = 11

The width is: x - 2 = 9

Answer:

Step-by-step explanation:

5X + 17 = 7

subtract 17 each side

5x + 17 - 17 = 7 - 17

divide 5 both sides

5x = -10  

simplify

5x/5 = -10/5

x = -2

Step-by-step explanation:

Associative property is a(bc)=(ab)c

14(1/7 * 2/5) = (14* 1/7) 2/5 = 2* 2/5 = 4/5

Answer: (14 x 1/7) 2/5

Step-by-step explanation: yes.

Given:

Graph of positions of Bear A and Bear B.

To find:

The average speed of Bear B in m/min.

Solution:

From the graph it is clear that initial point of graph of Bear B is (0,100) and the end point is (60,2800).

The average speed of Bear B is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{2800-100}{60-0}[/tex]

[tex]m=\dfrac{2700}{60}[/tex]

[tex]m=45[/tex]

Therefore, the average speed of Bear B is 45 m/min.

Answer:

1.17+3.85

Step-by-step explanation:

1.17-(-3.85a)

Answer:

answer = 2

Step-by-step explanation:

The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;

The Eighteenth Amendment empowered Congress to enforce the Amendment through legislation;

PLEASE HELP ME

Answer:

4

Step-by-step explanation:

Answer:

2.25 cars are waxed with one bottle

Step-by-step explanation:

1/3 * 3 = 1

3/4 * 3 = 9/4

9/4 = 2.25

Answer:

7, -3, and -5 are coefficients.

Step-by-step explanation:

Answer:

The leading coefficient is 7

Answer:

As suggested in the name itself:

a short circuit makes the circuit 'short' which causes the resistance of the circuit to be close to none

When the resistance is decreased, the amount of current flowing in the circuit increases (ohm's law: R ∝ 1/ I)

Therefore, in case of a short-circuit. More current will flow in the circuit