The square root of 30

Answer:

If events A and B are independent:

P(A|B) = P(A⋂B)/P(B) = (P(A) x P(B))/P(B) = P(A)

=> Option A is correct

Hope this helps!

:)

Answer:

The slope is undefined

Step-by-step explanation:

When graphed, the two points form a vertical line, since we can't divide the slope by zero thw slope is considered as undefined

Answer:

it is 279 square feet

Step-by-step explanation:

Answer:

279 sq. feet

Step-by-step explanation:

got the question correct

Edg.

Answer:

The answer would be {y|y>0}

Step-by-step explanation:

hope this helps

Answer:

No it wont

Step-by-step explanation:

Answer:

7 + 3/8x

Step-by-step explanation:

8+7/8x−1−1/2x.

Combine like terms

8-1  +  7/8x -1/2x

7 + 7/8x -1/2x

Get a common denominator

7 + 7/8x -4/8x

7 + 3/8x

Answer:

Step-by-step explanation:

Answer:

B) 9 cm

Step-by-step explanation:

Just look at the triangle and use Pythagoras theoreum.

a² + b² = c²

a = 9 9 - 4.9 = 5

b = ?

c = 10

5² + b² = 10²

b² = 100 - 25

b² = 75

b = + - SQRT( 75 )

{Only the positive term has a meaning here.}

b = 8.66 rounded that is 9, which is answer B.

Answer:

Area of shaded region = 16π in² (D)

Step-by-step explanation:

The question is incomplete without the diagram if the circles. Find attached the diagram used in solving the question.

Area of the smaller circle = 8π in²

Area of a circle = πr²

πr² = 8π

r² =8

r = √8 = 2√2

From the diagram, there are two smaller circles in a bigger circle.

The radius of the bigger circle (R) is 2times the radius of the smaller circle (r)

R = 2r

Area of bigger circle = πR²

= π×(2r)² =   π×(2×2√2)²

= π×(4√2)² = π×16×(√2)²

Area of bigger circle = π×16×2

Area of bigger circle = 32π in²

Since there are two smaller circles in a bigger circle

Area of shaded region = Area of bigger circle -2(area of smaller circles)

Area of shaded region = 32π in² - 2(8π in²)

Area of shaded region = 32π in² - 16π in²

Area of shaded region = 16π in²

Answer:

D.

Step-by-step explanation:

Answer:

29/35

Step-by-step explanation:

probability of choosing a boy or an A student = (boys + a students - a boys)/total -->

probability of choosing a boy or an A student = (17 + 20 - 8)/35 -->

probability of choosing a boy or an A student = 29/35

The probability of choosing a boy or an A student is equal to 29/35.

We have given that,In a math class of 35 students, 17 boys and 18 are girls.

On a unit test, 8 boys and 12 girls made an A grade.

The probability of an event can be calculated by the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.

Probability of choosing a boy or an A student = (boys + a student- a boys)/total Probability of choosing a boy or an A student.

= (17 + 20 - 8)/35

Therefore, the probability of choosing a boy or an A student = 29/35.

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

Answer:

Step-by-step explanation:

A-10.0 in

B-35 in

Answer:

[tex] -0.01 \leq p \leq 0.12[/tex]

The confidence is 0.95 or 95% and the significance would be given by: [tex] \alpha=1-0.95=0.05[/tex]/

For this case our confidence interval contains the value 0. So then we can conclude that we don't have significant differences in the the proportion of satisfied owners of AWD vehicles  from the proportion of satisfied owners of FWD at the significance level used of 5%. So then the claim that the two proportions are different is incorrect with the results obtained

Step-by-step explanation:

The confidence interval for the true proportion would be given by this formula

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

And for this case we have the following result:

[tex] -0.01 \leq p \leq 0.12[/tex]

The confidence is 0.95 or 95% and the significance would be given by: [tex] \alpha=1-0.95=0.05[/tex]/

For this case our confidence interval contains the value 0. So then we can conclude that we don't have significant differences in the the proportion of satisfied owners of AWD vehicles  from the proportion of satisfied owners of FWD at the significance level used of 5%. So then the claim that the two proportions are different is incorrect with the results obtained

Answer:1/8

Step-by-step explanation:

there are 8 slices and its asking for the probability of one number. so its 1 out of 8

Answer: 1/4

Step-by-step explanation:

3 and 6 are multiples of 3. There are 8 possible options, and 2 multiples of 3.

2/8 = 1/4

Answer:

I think it is 16 cups in a gallon

Answer:

1/5

Step-by-step explanation:

There are 3+5+2 = 10 marbles in the bottle

P(green) = number of green marbles/ total

               = 2/ 10 = 1/5

Answer:

The missing side is 22.98, or rounded to the nearest tenth, 23

The angles are 90, 40.37, and 49.63

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem;

[tex]a^2 + b^2 = c^2[/tex]

Since a = 14.9 and b= 17.5, we need to find the missing side, or c

[tex]14.9^2 + 17.5 ^2 = c^2[/tex]

Using a calculator this gives us;

528.26 = [tex]c^2[/tex]

Now to undo [tex]c^2[/tex], we have to square root both sides

[tex]\sqrt{528.26} = \sqrt{c^2}[/tex]

22.98 = c

Now to round to the nearest tenth, we know that .9 is greater than 5, so we can round 22.98 to 23

Now to find the angles.

We know that the triangle has a hypotenuse of 23, a short side of 14.9 and a long side of 17.5.

I labeled the side opposite of 14.9, x, and I will use sin to solve for the angle.

We know that sin= opposite/hypotenuse

So, sin(x)=14.9/23

Since we want to find the angle we must use the inverse of the trig function.

[tex]sin^-^1[/tex](14.9/23) = x

By using a calculator we get

x=40.37

Now since we know that this is a right triangle, we have a 90 degree angle.

So, we can subtract from 180 to find the third angle.

180-90-40.37=49.63

The angles of the triangle are 90, 40.37 and 49.63.

Hope this helped let me know if this can be explained further or if anything is wrong! : )

Answer:

26771.8115

Step-by-step explanation:

24500(1.03)=25235 then continue doing this 2 more times and you get 26771.8115

Answer:

18.0625 ft

Step-by-step explanation:

Greatest height is when:

t = -b/2a

t = -30/2(-16)

t = 15/16

Greatest height is:

-16t(15/16)² + 30(15/16) + 4 = 289/16

= 18.0625m

Answer:

d = 5.4

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

a = 2

b = 5

2^2 + 5^2 = c^2

4 + 25 = c^2

29 = c^2

c = 5.4

Answer:

[tex]\sqrt{29}[/tex]

Step-by-step explanation:

Using pythagorean theorem you will get 5 squared plus 2 squared equals c squared. Which is 25+4= 29 = c squared. That's the answer it wont simplify any further.

Answer:

Answer:The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).

circle diameter radius

A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)

Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).

The circumference of a circle is found using this formula: so the answer is B

Step-by-step explanation:

Answer: So, an Engineer will use a topography while working to locate the elevation for a given region. They provide the numerical value of an elevation. So from the list of options the closest to it is to determine the best location for a new road.

I hope this is helpful.

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

15 - 5n = 2n + 1

Bringing like terms on one side

15 - 1 = 2n + 5n

14 = 7n

14/ 7 = n

2 = n

Answer:

Step-by-step explanation:

First distribute. 5•3 and 5•n.

This gives you 15-5n=2n+1

Next add 5n to both sides.

This will give you 15=7n+1

Then you will subtract 1 from both sides.

14=7n

Finally you divide by 7 so you can get n by itself.

Your answer will be 2=n

You can always go back and plug your answer in to see if it works!

Answer:

B, 12.48 is the answer

Step-by-step explanation:

Just took the test

Answer:

its b just took the quiz on edge 2020

Step-by-step explanation:

X intercepts:

(-1/4,0),(3/2,0)

Answer:

cost of the fabric = $22

Step-by-step explanation:

The picture is a regular hexagonal which means it has six sides of equal length. The triangle in the hexagons are equilateral triangle. This means they have equal length. The blue portion is just like half the area of the hexagon while the white part is also half the area . Note both colors cover 3 triangle each.

area of the hexagon = 3/2 × √3 × a²

where

a = sides

area of the hexagon = 3/2 × √3 × a²

a = 5 ft

convert ft to yard

3 ft = 1 yard

5 ft = 5/3 = 1.6666666667 yards

area = 3/2 × √3 × 1.6666666667²

area of the hexagon = 7.21687836516 yard²

Half of the area is the blue section area because 3 triangle makes half of the hexagon = 7.21687836516/2 = 3.60843918258  yard². Note we can only order whole number of square fabric . Therefore, 3.60843918258 ≈ 4

blue fabric cost $3.50 per square yard.

The cost for this yard = 4  × 3.50 = $14  

white fabric cost $2 per square yard .

The cost for this yard = 4  × 2 = $8

Total cost = 14  + 8  = $22

cost of the fabric = $22

Answer:

Step-by-step explanation:

This problem is about random experiments.

Random experiments are defined as experiments where the outcome can't be predicted. To ensure that result, the subjects are selected randomly. So, in this case, the right answer must be a situation where subjects are randomly present.

People taking the bus is a random experiment, because there's no the exact subjects in a bus at any time, it happens randomly.

Also, the winner of a sport league is also a random experiment, because it happens after several games which cannot be predicted.

Therefore, the right answers are a and c.

Answer:

355

Step-by-step explanation:

3[tex]x^{3}[/tex]-5[tex]y^{2}[/tex]=3*5³-5*2²

3*5³-5*2²=3*125-5*4

3*125-5*4=375-20

375-20=355

Answer:

355

Step-by-step explanation:

3-5=3*5³-5*2²

3*5³-5*2²=3*125-5*4

3*125-5*4=375-20

375-20=355