The circle has a diameter of 16 inches. What is the area of the circle, rounded to the nearest square inch?

Answer: 30 kg/m³

Step-by-step explanation: density = mass / volume

Density is 240 kg / 8 m³

Answer:

C

Step-by-step explanation:

The cost of 5 notebooks (5x)

Less than (<)

The cost of 3 notebooks (3x)

Plus a 2 dollar pen (2)

All together: 5x < 3x + 2

Matches with the given expression.

Answer:

[tex]ax^2 = 48\\a = \frac{48}{x^2}[/tex]

[tex]ax^2 = 48\\x^2 = \frac{48}{a} \\x = \frac{\sqrt{48} }{\sqrt{a} } \\x = \frac{4\sqrt{3} }{\sqrt{a}} \\x = \frac{4\sqrt{3a} }{a}[/tex]

Answer:

x = 1.2

Step-by-step explanation:

AD/AB = DE/BC (Similarity Theorem)

AD = 6 + 4 = 10

AB = 6

DE = 2

BC = x

Plug in the values

10/6 = 2/x

Cross multiply

10*x = 2*6

10x = 12

Divide both sides by 10

x = 12/10

x = 1.2

Answer:

8 bottles of juice

Answer:

8 bottles of juice

Step-by-step explanation:

if 5bottles of water = 2bottles of juices

20bottles of water =

20/5 = 4

4 * 2 = 8

Answer:

Jacob had more home runs relative to his usual season average than Hugo did.

Step-by-step explanation:

The key solving this is to express their respective home runs in z-value forms.

Z = (x - ų)/óx

X = Current home runs

Ų = Mean

= Meanóx = Standard deviation

For Hugo,

X = Current home run = 31

Ų = Mean = 27

Óx = Stardard deviation = 1.6

Z = (x - ų)/óx

Z = (31 - 27)/1.6 = 2.5

Hope this helped!!!

The person who had more home runs relative to their usual seasonal average was Jacob.

Representing their home runs in z-value forms.

Where

= Meanóx = Standard deviation

To find the home run for Hugo,

Therefore,

Z = (x - ų)/óx

Z = (31 - 27)/1.6

= 2.5

Hence, Jacob had the most home runs relative to their usual seasonal average.

Read more about standard deviation here:

https://brainly.com/question/12402189

Answer:

d

Step-by-step explanation:

60x9 =540

Answer:

Vertex = (-1, 2)  

Maximum

Step-by-step explanation:  

The middle point of the graph is at x coordinate -1 and the point is at the top while the graph slopes down so it is a maximum point and not a minimum point.

Please mark Brainliest if this was helpful :)

Answer:

D

Step-by-step explanation:

Examples

-10 +9 = -1

-8 +9 = 1

-9+9=0

Answer:

The answer is a because it does pass the verticle line test

Answer:

0.5398

Step-by-step explanation:

Given that :

Total possible numbers vice presidents invited = 7

Required number of vice presidents invited = 1

Probability that a certain vice president is invited ;

P(a certain V. P is invited) = required outcome / Total possible outcomes

P(a certain V. P is invited) = 1/ 7

P(1 of the V. P's hasn't been invited to attend any of the last 4 games)

Then ; it means any of the remaining (7 - 1) = 6 has been invited ;

Hence,

P(1 of the V. P's hasn't been invited to attend any of the last 4 games) = ((7-1) / 7)^4

Likelihood that it could be due to chance :

(6/7)^4 = 0.5397750

= 0.5398

Answer:

6

Step-by-step explanation:

70/84 = 5/N

70N = 420

N = 420/70 = 6

Answer:

x = 37.5

Step-by-step explanation:

The easiest way to solve this is to realize that the bottom triangle is a an Isosceles triangle, with the upper angle being equal to 180 - 75 degrees.  That gives us the number 105°

Because it's an Isosceles triangle, we can simply say that the bottom angles, including the one we want to calculate are equal and both add up 105 (again, because the angles in a triangle add up to 180, and we know the top one is 105).

That gives us:

(180 / 105) / 2

= 75 / 2

= 37.5

Answer:

42

Step-by-step explanation:

It's just saying that 1/2 * x = 70, and if we multiply both sides by 2, we get

x=140.

we check if that number is true by finding 80% of 140.

4/5 * 140 = 112. So that means 140 is the number we want

30% of 140 is 3/10 * 140, which is 420/10, which is 42

Answer:

5.09 or 5.10(if u round up)

Step-by-step explanation:

When you convert √24 it will be 5.099

The decimal point must lie between 5 and 0

Hope this helps:)

Answer: F

Step-by-step explanation:

Answer:

9.364 is the expected number of points.

we can approximate this to 10 points if we want a whole number

Step-by-step explanation:

We have these variables:

[0,5,10,15]

P(x= 0) = p(y>20)+p(y<-20) = 2p(y>20)

P(x=5) = p(-20<=y<=10)+p(10<=y<=20) = 2p(10<=y<=20)

P(x=10) = p(-10<=y<=-3)+p(3<=y<=10) = 2p(3<=y<=10)

P(x=15) = p(-3<=y<=3) = 2p(0<=y<=3)

Z = y/10

Therefore

P(x= 0) = 2(y>20)

= 2p(z>2) = 2(1-p<=2)

= 2(1-0.9772)

= 0.0456

P(x= 5)

= 2p(10<=y<=20)

= 2p(1<=z<=2)

= 2(0.9772-0.8413)

= 0.2718

P(x= 10)

= 2p(3<=y<=10)

= 2p(0.3<=z<=1)

= 2(0.8413-0.6179)

= 0.4468

P(x = 15)

= P(0.6179-0.3821)

= 0.2358

To get expected value of Y

0(0.0456)+5(0.2718)+10(0.4468)+15(0.2358)

= 1.359 + 4.468 + 3.537

= 9.364

E[Y] = 9.364

Answer:

a^2 + 4a/b + 4/b^2

Step-by-step explanation:

Which of the following is equivalent to (a + b/2) ^2?

The expression (a + b/2)² is equivalent to (a² + b²/4 + ab).

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations.

Given is the algebraic expression as -

(a + b/2)²

We can write -

(a + b/2)² = a² + (b/2)² + 2 × a × b/2

(a + b/2)² = a² + (b/2)² + ab

(a + b/2)² = a² + b²/4 + ab

Therefore, the expression (a + b/2)² is equivalent to (a² + b²/4 + ab).

To solve more questions on algebraic expression, visit the link below -

https://brainly.com/question/27911936

#SPJ5

Answer:

240

Step-by-step explanation:

We know that 50% of the number is 150 so we can assume the number is 300(if its 50% just double that number). Next we use the equation 0.80 x 300 which gives us the answer 240.

Hope I helped

Answer:

240

Step-by-step explanation:

50%*x=150

0.5x=150

x= 300

30%*x=90

0.3x= 90

x= 300

80%*300=

0.8*300= 240

Answer:

The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb.

This means that [tex]\mu = 7.95, \sigma = 3.12[/tex]

Which value separates the top 2% of the weekly discarded paper weights in this area?

This is the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98. So X when Z = 2.054.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.054 = \frac{X - 7.95}{3.12}[/tex]

[tex]X - 7.95 = 2.054*3.12[/tex]

[tex]X = 14.36[/tex]

The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.

3, and apparently its "too short of an answer on this website"

Answer:

9. 2:50 . she left after 40 minutes meaning you have to subtract 3:30 and 40 . so 30 mins is 3:00 and then you take away another 10 to make it 40 minutes ago and you get 2:50 pm

Answer:

12 i believe

Step-by-step explanation:

volume; LxWxH

3x2x2

3x2=6

6x2=12

sorry if this is wrong lol but this is what i believe it is

Answer:

i think

all the numbers between

0 to 4.6

Answer:

Step-by-step explanation:

Let the equation of the line 'a' is,

y = mx + c

Here, m = slope of the line

c = y-intercept

For line 'a',

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m = [tex]\frac{10}{16}[/tex]

m = [tex]\frac{5}{8}[/tex]

y-intercept = 20

Therefore, equation of the line 'a' is,

y = [tex]\frac{5}{8}x+20[/tex]

Similarly, equation of the line 'b' is,

y = m'x + c'

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m' = [tex]\frac{20}{16}[/tex]

m' = [tex]\frac{5}{4}[/tex]

y-intercept = 0

Therefore, equation of the line is 'b' is,

y = [tex]\frac{5}{4}x[/tex]

1). Line 'b' represents a proportional relationship → FALSE

2). The constant of proportionality of y to x for line 'a' is [tex]\frac{1}{2}[/tex] → FALSE

3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE

4). let a passes through the point [tex](1,\frac{5}{4})[/tex] so the constant of proportionality is [tex]\frac{5}{4}[/tex] → TRUE

Answer:

9.261 cm³

Step-by-step explanation:

2.1x2.1x2.1=9.261

Answer:

9.2

Step-by-step explanation:

the answer is 9.2 yo multiplu 2.1x2.1x2.1