how would three billion nine hundred six thousand twelve be written in standard form 3976012 3000976012 3009760012

Answer:

Choice B) The distribution is approximately Normal, with a mean of 3.75 pounds and a standard deviation of 0.52 pounds.

Step-by-step explanation:

Using the normal distribution principle, the percentage with weight between 2.71 and 4.79 is 95.45%

Using the Zscore relation :

For X = 2.71 :

Zscore = (2.71 - 3.75) ÷ 0.52 = - 2

Using a normal distribution table :

P(Z < - 2) = 0.02275

For X = 4.79 :

Zscore = (4.79 - 3.75) ÷ 0.52 = 2

Using a normal distribution table :

P(Z < 2) = 0.97725

P(Z < 2) - P(Z < - 2) = 0.97725 - 0.02275 = 0.9545

Therefore, the required percentage is 95.45%

Learn more : https://brainly.com/question/15139545

Answer:14in 3

Step-by-step explanation:

Answer:

yes each paragrpah represents a direct proportion.

Step-by-step explanation:

please follow me and mark me as brainliest. please.

Answer:

x=w/(56+r)

Step-by-step explanation:

19x+rx=-37x+w

19x+rx+37x=w

x(19+37+r)=w

x(56+r)=w

x=w/(56+r)

if anything is unclear, ask freely.

Answer:

The actual triangle is larger

Step-by-step explanation:

Given

[tex]Scale = Actual Triangle : Drawing[/tex]

[tex]Scale = 30 : 1[/tex]

[tex]Jorge = 101[/tex]

Required

Determine which is bigger

The answer to this question can be extracted from the given scale.

The question says: the scale from the actual triangle to the drawing is 30 : 1.

This implies that;

If Jorge's drawing is 101, then the actual length is 30 * 101 =3030

Since, 3030 > 30, then

We cam conclude that the actual triangle is bigger

Answer:60+1260+13 isnt equivalent

Step-by-step explanation:

Answer: 169.2 per acre are produced if a field is in the top 25%.

Step-by-step explanation:

Given:  The mean rain-fed corn yield of harvested fields are normally  distributed, produce 147.2 bushels per acre with a standard deviation of 33 bushels per acre.

Let X denote the mean rain-fed corn yield of harvested fields.

Let x denotes the number of bushels per acre are produced if a field is in the top 25%.

Top 25% on a density curve means , (100-25%)i.e. 75% area lies below x.

I.e.

[tex]P(X<x)=P(\dfrac{X-\mu}{\sigma}<\dfrac{x-147.2}{33})=0.75\\\\\Rightarrow\ P(Z<\dfrac{x-147.2}{33})=0.75\ \ [Z=\dfrac{X-\mu}{\sigma}][/tex].

Z-score for p-value of 0.75 (one tailed)=0.67 [By z-table]

Then, [tex]\dfrac{x-147.2}{33}=0.6744[/tex]

[tex]\Rightarrow\ {x-147.2}=33\times0.67\\\\\Rightarrow\ {x-147.2}=22.11\\\\\Rightarrow\ {x}=22.11+147.2=169.31[/tex]

Here approx value is 169.2 (from options).

So, 169.2 per acre are produced if a field is in the top 25%.

Answer:

18.29

Step-by-step explanation:

hope this helped

Answer: The answers to the questions by 10 of the friends

Step-by-step explanation:

The options to the question are:

a. The answers to the questions by the parents of 10 of the friends.

b. The results of a national poll of 1800 students in the same age group as the child.

c. The answers to the questions by 10 of the friends.

d. The answers to the questions by 10 people from the parents office.

From the question, we are informed that a concerned parent wants to determine the amount of time spent on the phone by her child's friends. The sample that is likely to bias the results of the study by reporting less than the actual time is the answers to the questions by 10 of the friends.

This is because since the questions are being asked from her friends, there'll be bias as the friends won't want to give the exact time used on phone, hence, they'll hold back some information.

Answer:

x=9.6

Step-by-step explanation:

We are given the proportion:

[tex]\frac{2}{5}=\frac{x}{24}[/tex]

We are asked to solve for x. Therefore, we must isolate x on one side of the proportion.

x is being divided by 24. The inverse of division is multiplication. Multiply both sides of the proportion by 24.

[tex]24*\frac{2}{5}=\frac{x}{24}*24[/tex]

[tex]24*\frac{2}{5}=z[/tex]

[tex]24*0.4=x[/tex]

[tex]9.6=x[/tex]

[tex]x=9.6[/tex]

x is equal to 9.6 The complete proportion is [tex]\frac{2}{5}=\frac{9.6}{24}[/tex]

Each group can clean 200 ÷ 5 = 40 yards each minute, so together the two groups can clean 80 yards each minute. So, it takes 3520 ÷ 80 = 44 minutes to clean 2 miles.

Answer:

I can help you slove your problem

Factor the x out first:

x(6x^2 - 7x - 5) = 0

Then factor the quadratic expression in the parenthesis:

x(2x + 1)(3x - 5) = 0

x = -1/2, 0, 5/3

Answer:

Step-by-step explanation:

[tex]3 - (-3) + 7 - 4 =\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:\:\\\\\mathrm{Apply\:rule\:}-\left(-a\right)\:=\:+a\\\\-\left(-3\right)=+3\\\\=3+3+7-4\\\\3+3=6\\\\=6+7-4\\\\6+7=13\\\\=13-4\\\\13-4\\=9[/tex]

Answer:

18/40

Step-by-step explanation:

You multiply the denominator by 2 and the numerator by 2 to get 18/40

Answer:

Listening

Step-by-step explanation:

The others are good qualities too, but first you need to listen to other people and have them listen to you. It's one of the first steps of communicating well with other people.

Answer:

girl I need help with this too

Step-by-step explanation:

we both do

It looks like the system is supposed to be

[tex]\mathbf x'=\begin{bmatrix}0&-1\\2&3\end{bmatrix}\mathbf x+\begin{bmatrix}e^t\\e^{-t}\end{bmatrix}[/tex]

with the initial condition, [tex]\mathbf x(0)=\begin{bmatrix}5&4\end{bmatrix}^\top[/tex].

Compute the eigensystem for the coefficient matrix:

[tex]\begin{vmatrix}-\lambda&-1\\2&3-\lambda\end{vmatrix}=\lambda^2-3\lambda+2=(\lambda-1)(\lambda-2)=0[/tex]

[tex]\lambda_1=1\implies\begin{bmatrix}-1&-1\\2&2\end{vmatrix}\mathbf v_1=\mathbf 0\implies\mathbf v_1=\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

[tex]\lambda=2\implies\begin{bmatrix}-2&-2\\2&1\end{bmatrix}\mathbf v_2=\mathbf 0\implies\mathbf v_2=\begin{bmatrix}1\\-2\end{bmatrix}[/tex]

So we have the characteristic solution,

[tex]\mathbf x_c=C_1e^{\lambda_1t}\mathbf v_1+C_2e^{\lambda_2t}\mathbf v_2[/tex]

[tex]\mathbf x_c=C_1e^t\begin{bmatrix}1\\-1\end{bmatrix}+C_2e^{2t}\begin{bmatrix}1\\-2\end{bmatrix}[/tex]

For the non-homogeneous part, we can guess a particular solution of the form

[tex]\mathbf x_p=te^t\begin{bmatrix}a\\b\end{bmatrix}[/tex]

(We might have started with [tex]e^t[/tex] instead, but that is already accounted for in the first characteristic solution.)

Its derivative is

[tex]{\mathbf x_p}'=e^t\begin{bmatrix}a\\b\end{bmatrix}+te^t\begin{bmatrix}a\\b\end{bmatrix}=e^t\begin{bmatrix}at+a\\bt+b\end{bmatrix}[/tex]

Substitute [tex]\mathbf x_p[/tex] into the system and solve for [tex]a,b[/tex]:

[tex]e^t\begin{bmatrix}at+a\\bt+b\end{bmatrix}=te^t\begin{bmatrix}0&-1\\2&3\end{bmatrix}\begin{bmatrix}a\\b\end{bmatrix}+e^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

[tex]\begin{bmatrix}at+a\\bt+b\end{bmatrix}=\begin{bmatrix}-bt+1\\(2a+3b)t-1\end{bmatrix}[/tex]

[tex]\implies a=1,b=-1[/tex]

and so the particular solution is

[tex]\mathbf x_p=te^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

The general solution to the system is then

[tex]\mathbf x=\mathbf x_c+\mathbf x_p[/tex]

[tex]\mathbf x=C_1e^t\begin{bmatrix}1\\-1\end{bmatrix}+C_2e^{2t}\begin{bmatrix}1\\-2\end{bmatrix}+te^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

Use the given initial conditions to solve for the remaining coefficients.

[tex]\mathbf x(0)=\begin{bmatrix}5\\4\end{bmatrix}[/tex]

[tex]\implies\begin{bmatrix}5\\4\end{bmatrix}=C_1\begin{bmatrix}1\\-1\end{bmatrix}+C_2\begin{bmatrix}1\\-2\end{bmatrix}[/tex]

[tex]\implies C_1=14,C_2=-9[/tex]

Then the solution to the initial value problem is

[tex]\mathbf x=14e^t\begin{bmatrix}1\\-1\end{bmatrix}-9e^{2t}\begin{bmatrix}1\\-2\end{bmatrix}+te^t\begin{bmatrix}1\\-1\end{bmatrix}[/tex]

[tex]\mathbf x=\begin{bmatrix}14e^t-9e^{2t}+te^t\\-14e^t-18e^{2t}-te^t\end{bmatrix}[/tex]

Answer:

the blanks are in this order the top two are 5 and 8

then (-,+,+)

then (-,-,+)

then (+,+,+)

last (+,-,+)

Step-by-step explanation:

Answer:

49 eggs.

Step-by-step explanation:

The formula for Margin of Error =

z × standard deviation/√number of samples

z = z score of 98% confidence interval = 2.326

Margin of Error = Half a day = 1/2day = 0.5 day

Standard deviation = 1.5 days

Number of samples = number of eggs he needs to sample = unknown.

Imputing these above values into the formula

Margin of Error = z × standard deviation/√number of samples

0.5 = 2.326 × 1.5/√n

Cross Multiply

0.5 × √n = 2.326 × 1.5

√n = 2.326 × 1.5/0.5

√n = 3.489/0.5

√n = 6.978

Square both sides

(√n)² = 6.978²

n = 48.692484

n ≈ Approximately to the nearest whole number = 49

Therefore, the number of eggs he needs to sample to create the desired interval is approximately to the nearest whole number 49 eggs

Answer:

Luke, -32 < 36

Step-by-step explanation:

The two cards drawn by Sofia has values of -8 and 4 respectively. The product of her cards = -8 × 4 = -32. (Negative × positive = (negative)

The two cards drawn by Luke has values of -6 and -6 respectively. The product of his cards = -6 × -6 = 36 (negative × negative = positive).

36 greater than -32.

Luke had the largest product because -32 < 36.

Answer: y=4x-4

Step-by-step explanation:

To find the equation fo the line parallel to the given line, we can use the given point to find the y-intercept. We know that the slope must stay the same because parallel lines NEVER touch or cross. This means that the slope MUST be the same.

y=4x+b

We can use the given point to find the y-intercept.

8=4(3)+b             [multiply]

8=12+b                [subtract both sides by 12]

b=-4

Now that we have found the y-intercept, we can complete the equation.

y=4x-4

Answer:

A. 85

Step-by-step explanation:

Since DE and XY are parallel, this means that the given angle and angle x are alternate Angles. According to the law of alternate Angles, this means that they are equal. It also makes sense as the angle x is the same angle as the angle directly opposite angle 85. This is because they are on the same line across parallel lines. This also means they are equal because vertically opposite angles are always equal.

Therefore x =85

Hope this helped!

lol.Sorry I have to hurry up so my hand writing is bad i hope u can read it.

Answer:

3/5

Step-by-step explanation:

[tex]\cos X= \frac{XY}{ZX} = \frac{30}{50} = \frac{3}{5} \\ [/tex]

Answer:

[tex]15[/tex] inches

Step-by-step explanation:

Let the width be x.

Length = [tex]6+x[/tex]

Perimeter = Length + Length + Breadth + Breadth

Perimeter = [tex](6+x)+(6+x)+x+x=48[/tex]

[tex]6+x+6+x+x+x=48[/tex]

[tex]4x+12=48[/tex]

Subtract 12 from both sides:

[tex]4x+12-12=48-12[/tex]

[tex]4x=36[/tex]

Divide both sides by 4:

[tex]\frac{4x}{4}=\frac{36}{4}[/tex]

[tex]x=9[/tex] (Width)

Length = [tex]9+6=15[/tex] inches.

Answer:

l = 15 inches

Step-by-step explanation:

l = w + 6

p = 2l + 2w

substitute l into equation p

48 = 2(w + 6) + 2w

distribute the 2 into the parentheses

48 = 2w + 12 + 2w

combine like terms

48 = 4w + 12

subtract 12 from both sides

36 = 4w

divide by 4

9 = w

plug w into equation l

(9) + 6 = 15

l = 15 inches