Solve the system of equations.
- 4x + 11y = 15
X= 2y
X=
y =

9514 1404 393

Answer:

  735.6 in³

Step-by-step explanation:

The formula for the volume of a sphere is ...

  V = 4/3πr³ . . . . where r is the radius

The radius is half the diameter, so we can write this in terms of diameter as ...

  V = (4/3)π(d/2)³ = (π/6)d³

Using the given diameter, the volume is ...

  V = (π/6)(11.2 in)³ ≈ 735.6186 in³

The volume is about 735.6 cubic inches.

Answer:

theres only a? wheres the rest?

Step-by-step explanation:

2x - × + 4x

=5x

!!!!!!!!!!!

Answer:

P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)

P(X, Y) = 0 if  X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)

Step-by-step explanation:

We know that the possible values of X (all with the same probability) are:

2 < X < 8.2

And for Y we have the range (also uniform):

3.01 < Y < 6.3

Then we have a rectangle of area.

(8.2 - 2)*(6.3 - 3.01) = 20.398

Such that the probability for all the points inside the rectangle should be exactly equal, then we will have:

P(X, Y) = 1/(20.398 ) if X ∈ (2, 8.2) and Y ∈ (3.01, 6.3)

Such that if we integrate this in the given region, the integral will be equal to 1, as we should expect.

And zero if the point is outside that region, this is:

P(X, Y) = 0 if  X ∉ (2, 8.2) and Y ∉ (3.01, 6.3)

Answer:

1:3

Step-by-step explanation:

Divide both numbers by the same value to get the ratio

6/6=1

18/6=3

To get the smallest numbers you can get by dividing using the same value

So the ratio would be 1:3

Answer:

1568 grams

Step-by-step explanation:

32 x 28 = 896 ][ 16 x 28 = 448 ][ 8 x 28  = 224 ; 896 + 448 + 224 = 1568

Answer:

4 and 6

Step-by-step explanation:

they are made with lines of the other angles

Answer:

I think the exterior angles are angle 4, angle 6, and angle 2.

Step-by-step explanation:

They are on the outside.

Step-by-step explanation:

[tex]time = \frac{(final \: - \: initial \: displacement)}{(final - initial \: velocity)} \\ time = \frac{0 - 120}{0 - 8} \\ time = 15 \: seconds[/tex]

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Let's solve:

[tex]4x+22=6(x+3)[/tex]

Step 1: Simplify both sides of the equation.

[tex]4x+22=6(x+3) \\ 4x+22=(6)(x)+(6)(3)\\ (Distribute) \\ 4x+22=6x+18[/tex]

Step 2: Subtract 6x from both sides.

[tex]4x+22−6x=6x+18−6x\\ −2x+22=18[/tex]

Step 3: Subtract 22 from both sides.

[tex]−2x+22−22=18−22 \\ −2x=−4[/tex]

Step 4: Divide both sides by -2.

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

Answer:2

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability that a birth in the United States is male during 2018 is 0.511. So there are slightly more males than females born.

In 300  simulated trials, 171 of the births are female and 129 are male. More females are born so it is not consistent with the model.

The expected number of male birth for 300 trials should be 300*0.511 = 153.

The expected number of female = 300-153 = 147

Answer:

The last one.

Step-by-step explanation:

It's the one that has a lot of points (from 11-16) and then one point just chilling on 5. That one point is the outlier. Hope this helps! Have a nice day :)

Answer:

He gets 42 visitors 4 weeks after starting to build his website.

He gets 10 new visitors per week.

Step-by-step explanation:

Equation for the number of visitors:

The equation for the number of visitors Timmy's new website receives after t weeks is:

[tex]v(t) = 10t + b[/tex]

In which b is the number of visitors rightly after he starts.

Timmy is building a new website. Right after he starts, he has 2 visitors.

This means that [tex]b = 2[/tex], so:

[tex]v(t) = 10t + 2[/tex]

How many visitors does he get 4 weeks after starting to build his website?

This is v(4). So

[tex]v(4) = 10(4) + 2 = 40 + 2 = 42[/tex]

He gets 42 visitors 4 weeks after starting to build his website.

How any new visitors does he get per week?

After 0 weeks:

[tex]v(0) = 10(0) + 2 = 0 + 2 = 2[/tex]

After 1 week:

[tex]v(1) = 10(1) + 2 = 10 + 2 = 12[/tex]

2 weeks:

After 2 week:

[tex]v(2) = 10(2) + 2 = 20 + 2 = 22[/tex]

22 - 12 = 12 - 2 = 10

He gets 10 new visitors per week.

Answer:

9.12%

Step-by-step explanation:

Yield to maturity is also known as the internal rate of return of a bond

Internal rate of return is the discount rate that equates the after-tax cash flows from an investment to the amount invested

YTM can be calculated with a financial calculator

Cash flow in year 0 = -950  

Cash flow each year from year 1 to 5 = 80

Cash flow in year 6 = 100 + 80 = 1080

YTM = 9.12%

To determine YTM using a financial calculator:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the IRR button and then press the compute button.  

Answer: The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.

Step-by-step explanation:

The statement that is true about the result considering a significance level of 5% is B. The result is statistically significant, which implies that spraying the corn plants with the new type of fertilizer does increase the growth rate.

This refers to the analysis of numbers and data to make an inference about a thing.

Hence, we can see that based on the research made about the growth rate of corn, we can see that from the significance level of 5%, we can see that spraying the corn plants with the new type of fertilizer does increase the growth rate.

Read more about statistics here:

https://brainly.com/question/12150562

#SPJ2

Answer:

A. (0,1,2,4,6,8,9) is ur Answer

Answer:

A

Step-by-step explanation:

is it 5 ft , 5ft and 5ft?

if so, the answer would be 125 ft

because, the formula is, side×side×side

and hence, 5×5×5 = 125

Answer:

56.5

Step-by-step explanation:

Circumference = [tex]\pi d[/tex]

C = 3.14(18) = 56.52

Answer:

A. 9.4 m

Step-by-step explanation:

b²=13²-9²

= 169 - 81

= 88

b =√88 = 9.4 m

Answer:

bgh12.hcv2.3.23.52g3.2153.0.76810636302233..32.37gh

Step-by-step explanation:

Answer:

The area of the rectangle is 0.0875  sq ft.

Step-by-step explanation:

Given that,

The length of the rectangle, L = 0.35 feet

The breadth of the rectangle, B = 1/4 feet

We need to find the area of the rectangle. The formula for the area of a rectangle is given by :

A = LB

Put all the values,

[tex]A=\dfrac{1}{4}\times 0.35\\\\A=0.0875\ ft^2[/tex]

So, the area of the rectangle is 0.0875  sq feet.

Answer:

53

Step-by-step explanation:

Sum of interior angles of a pentagon = 540°

Therefore,

2x° +2x° + 3x° + 3x° + 10 = 540°

10x° + 10° = 540°

10x° = 540° - 10°

10x° = 530°

10x = 530

x = 530/10

x = 53

Answer:

17is the truth

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

(-3 1/3, -1 1/3) Quadrant lll

(1/3, 2 1/3) Quadrant l

(-1 1/3, 3 1/3) Quadrant ll

(9, -1) Quadrant lV

(-3,-10) Quadrant lll

(1 1/3, -1 1/3) Quadrant IV

Step-by-step explanation:

Hope this helps! Ask any questions in the comments <3

Answer:

( -1 , 5 )

Step-by-step explanation:

Solution = Coordinate where the two lines intersect

The two lines intersect at ( -1 , 5 )

Thus solution = ( -1 , 5 )

Answer:

.01 + .3 = 0.31

Step-by-step explanation:

Answer:

The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

In a survey of 802 U.S. adult drivers, 265 state that traffic is getting worse in their community.

This means that [tex]n = 802, \pi = \frac{265}{802} = 0.3304[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3304 - 1.96\sqrt{\frac{0.3304*0.6669}{802}} = 0.2978[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3304 + 1.96\sqrt{\frac{0.3304*0.6669}{802}} = 0.3630[/tex]

The 95% confidence interval for the proportion of residents who think traffic is getting worse in their community is (0.2978, 0.3630).

Answer:

B

Step-by-step explanation: