Which two sets of events are most likely independent?
O A. Event A: A student makes the drama team.
Event B. The student likes macaroni and cheese.
B. Event A: A student gets enough sleep.
Event B. The student is alert in class.
C. Event A: A car is blue.
Event B. The car lasts over 20 years.
D. Event A: A woman buys cat toys.
Event B: The woman has a cat.

The pressure applied on the whole table top = 361.9 N/m² to 4 significant figures.

Pressure= force/area

Area of the circular table = πr²

where r = 75cm = 0.75m

Area of the circular table = 3.143 × 0.75 × 0.75

= 1.768m²

Force = 640 N

Pressure = 640/1.768

= 361.99

= 361.9 N/m² to 4 significant figures.

Learn more about pressure here:

https://brainly.com/question/25736513

Answer:

D

Step-by-step explanation:

Consecutive integers are integers with the progression n, n+1, n+2 (EXAMPLE)

Since w, x, y are consecutive integers, that means w, w+1, w+2; x = w+1, y = w+2

By referring to D,

w + x + y = w + w+1 + w+2

= 3w + 3

Hence, D is true.

Answer:

D

Step-by-step explanation:

A is wrong because if w is -1, x is 0, and y is 1, then wy is negative.

B is wrong because if w is -1, x is 0, and y is 1, then -1 + 1 = 0, which is x.

C is wrong because if w is -1, x is 0, and y is 1, then w³ + 3 = -1 + 3 = 2, which is greater than w + x + y which is 0.

D is correct because w + x + y is always equal to 3w + 3. For example, if w is 1, x is 2, and y is 3, then w + x + y = 6. 3w + 3 = 3(1) + 3 = 6.

E is wrong because if w is 1, x is 2, and y is 3, then wx is 2 and xy is 6, which means xy is greater than wx.

I hope this helps and please mark me as brainliest!

Answer:

x = 100 , x = 3

Step-by-step explanation:

(a)

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 , then

sum = 180° × 3 = 540°

sum the angles and equate to 540

x + x + 125 + 125 + 90 = 540 , that is

2x + 340 = 540 ( subtract 340 from both sides )

2x = 200 ( divide both sides by 2 )

x = 100

(b)

the 2 given angles are alternate exterior angles and are congruent , then

6x + 18 = 2x + 30 ( subtract 2x from both sides )

4x + 18 = 30 ( subtract 18 from both sides )

4x = 12 ( divide both sides by 4 )

x = 3

2870 miles

D= s x t

= 820 x 3.5

=2870

Hope this helps!

Answer:

3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

447 = 3 ×149

577 = 577 (prime number)

669 = 3 × 223

HCF = 1

Considering that we have the standard deviation for the sample, the t-distribution will be used, and the critical value is t = 2.6682.

In this problem, σ is not​ known, hence we get the standard deviation of the sample from the histogram and the t-distribution is used.

Using a t-distribution calculator, considering a confidence level of 99​% and 56 - 1 = 55 df, the critical value is t = 2.6682.

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

C & D because vertical angles have the same measures and thoses angles intersects each other

Step-by-step explanation:

Use the distributive property:-

4(2x-1)

8x-4

8x-4+3=8x+1

8x-8x-4+3=1

8x-8x-1=1

0-1=1

-1=1

Wait, what? -1 is equal to 1?

Hence, the equation has no solutions.

Hope it helps :)

The boxes in the grocery store is an illustration of an arithmetic sequence

The explicit rule of the sequence is f(n) = 32 + (n - 1) * 24, and there are 296 boxes in the 12th week

The arithmetic sequence can be represented as:

32, 56, 80.......

Calculate the common difference (d)

d = 80 - 56 = 24

An arithmetic sequence is represented as

f(n) = a + (n -1) * d.

So, we have

f(n) = 32 + (n - 1) * 24

This means that n = 12.

So, we have

f(12) = 32 +(12-1)*24

Evaluate

f(12) = 296

Hence, there are 296 boxes in the 12th week

Read more about arithmetic sequence at:

https://brainly.com/question/6561461

Answer:

Step-by-step explanation:

Subtract 4 from both sides

y - 4 = 3(x+2)^2

Divide 3 from both sides

(y-4)/3 = (x+2)^2

Square root both sides

SQRT((y-4)/3) = x + 2

Subtract 2 from both sides

x = SQRT((y-4)/3) - 2

Hope this helps

Answer:

r=53 degrees

______

yan po

Step-by-step explanation:

f(-1) = 4(2)^-1 ≈ 4 × 1/2 = 2

(x, f(x)) = (-1, 2)

f(0) = 4(2)⁰ = 4×1 = 4

(x, f(x)) = (0, 4)

f(1) = 4(2)¹ = 4×2 = 8

(x, f(x)) = (1, 8)

f(2) = 4(2)² = 4×4 = 16

(x, f(x)) = (2, 16)

Answer:

5.80^3‎‎‎‎‎‎‎‎‎‎‎‎‎‎

So the equation given is: [tex]3x^2+x[/tex]

What do we find: f(-5)

To find f(-5), we must plug '-5' into the equation in place of the 'x'

   [tex]f(-5) = 3(-5)^2+(-5) = 3 * 25 -5=75-5=70[/tex]

Answer: f(-5) = 70

Hope that helps!

Answer:

Step-by-step explanation:

Use tigonometry to find the value of d

Answer:

497 m (nearest whole number)

Step-by-step explanation:

As the problem has been modeled as a right triangle, we can use the sine trigonometric ratio to find the distance d.

Sine trigonometric ratio

   [tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

From inspection of the given diagram:

Substitute the values into the formula and solve for d:

[tex]\implies \sf \sin(38^{\circ})=\dfrac{306}{H}[/tex]

[tex]\implies \sf H=\dfrac{306}{\sin(38^{\circ})}[/tex]

[tex]\implies \sf H=497.0263891...[/tex]

Therefore, the distance d between the helicopter and the landing pad is 497 m (nearest whole number).

Answer:

14

Step-by-step explanation:

101.4^0.5 = 10.0697 etc

it says estimate so I'm going to round that to 10

6.43^0 Anything with an exponent of 0 = 1

7.99^(2/3) = 3.9966 etc you can round that to 4

Put in the values:

10 + 1 × 4

Use PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

We have to multiply 1 × 4 which is 4

We're left with 10 + 4 which is 14

Answer:

14

Step-by-step explanation:

[tex]\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23}[/tex]

[tex]\begin{aligned}\sf 101.4^{0.5} +6.43^0 \times 7.99^{\frac23} & = \sf \sqrt{100} +1 \times8^{\frac23}\\\sf & = \sf 10 + (8^{\frac13})^2\\& = \sf 10 + (2)^2\\& = \sf 10 + 4\\& = \sf 14\end{aligned}[/tex]

Answer:

Ans: n−√5

Step-by-step explanation:

Answer:

x= 5× 17

= 85milimetres

y= 65÷ 5

=13milimetres

Answer:

x = 45.79°

Step-by-step explanation:

You can use sin Θ to find the value of x.

Let us find it now.

Sin x = Opposite / Hypotenuse

Sin x = 38 / 53

Sin x = 0.7169

x = Sin ⁻¹ 0.7169

x = 45.79°

Answer:

$182.91

Step-by-step explanation:

136.50 times 0.14 (14%) is 19.11

136.50 times 0.2 (20%) is 27.30

13650+19.11+27.30=182.91

Answer:

slope = - 7/3

Step-by-step explanation:

Slope of a line = m

 perpindicular slope = - 1/m

-1 / ( 3/7) = - 7/3

Answer:

y= .5x+2

Step-by-step explanation:

Slope= 2/4 (rise over run) = .5

B/ y intercept = 2

y=.5x+2

Answer:  C

Step-by-step explanation:

We know that A and D will not be the correct answers. For A, it's only one 90 angles, but the questions said that has two angles. For D, it's two angles  : 90 and 12, but in the question, 12 is the length, not the angle.

The correct answer is C.

Answer:

36π ft²

Step-by-step explanation:

Check out the attached photo

median is 16 ducky quack

Answer:

16

Step-by-step explanation:

Median, also known as the "middle" value in a data set. To be able to find the median, your data needs to be in numerical order.

Quiz scores:

9, 13, 20, 15, 18, 17

Arrange in numerical order:

9, 13, 15, 17, 18, 20

Find the "middle" value:

9, 13, 15, 17, 18, 20

When there are two middle values, you add them up and divide it by 2.

15 + 17 = 32

32/2 = 16

Therefore, the median, "middle" value of this student's quizzes is 16.

Hope this helps!

Answer:

Yes

Step-by-step explanation:

Let's pick 2 bionomials for this proof.

(3x+4) and (2x-4)

If we subtract (2x-4) from (3x+4) we will be left with x to the first power, which is a monimal.

So yes, you can subtract a binomial from another binomial and get a monomial.

Hope this helps!