What is the value of 12(a • b + a2) + 6 if a = 3 and b = −4?

A: −30
B: −42
C: −54
D: 330

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Complete Question

According to one study, brain weights of men are normally distributed with a mean of 1.40 kg and a standard deviation of 0.11 kg.

Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.40 kg.

Answer:

88.36%

Step-by-step explanation:

When given random samples, the formula for z score that we use is:

z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population

n is number of random samples

mean = 1.40 kg

Standard deviation = 0.11 kg

n = 3

x = mean brain weights within 0.1 kg of the population mean brain weight of 1.40 kg.

= 0.1kg ± 1.40kg

Hence,

For 1.50kg

z = 1.50 - 1.40/0.11/√3

z = -1.57

Probability value from Z-Table:

P(x = 1.50) = 0.9418

For 1.30kg

z = 1.30 - 1.40/0.11/√3

= -1.57

Probability value from Z-Table

P(x= 1.30) = 0.0582

P(x = 1.50) - P(x= 1.30)

0.9418 - 0.0582

= 0.8836

Converting to percentage,

0.8836 × 100

= 88.36%

Answer:

6 game, 7 song

Step-by-step explanation:

x = # of game downloads  y = # of song downloads.

Create system of equations

$3(x) + $1(y) = $25

y = x + 1

Solve system of equations

3x + x + 1 = 25

4x + 1 = 25

4x = 24

x = 6

6 game downloads, 7 song downloads.

The Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

For the Average Order's Gross Profit for the clothing eCommerce company in this scenario, we need to subtract the cost of production and shipping from the Average Order Value as;

⇒ Gross Profit = Average Order Value - Cost of production - Cost of shipping Gross Profit

⇒ Gross Profit = USD 65 - USD 35 - USD 15

⇒ Gross Profit = USD 15

Therefore, the Average Order's Gross Profit for the clothing eCommerce company in this scenario is USD 15.

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Answer: 165 miles

Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.

Answer:

The answer is 165miles

Step-by-step explanation:

\(distance = speed \times time\)

d=55×3

d=165 miles

Answer:

5:20 to 9:20

Step-by-step explanation:

The required expression would be x = -2 which makes the given equation true.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Given equation as:

-12x -2(x + 9) = 5(x + 4)

Open the parentheses and apply the arithmetic operations,

-12x -2x - 18 = 5x + 20

Rearrange the term variable x, and we get

-12x -2x - 5x =  18 + 20

-19x = 38

x = -38/19

x = -2

Therefore, the required expression would be x = -2 which makes the given equation true.

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Answer:

20+m

Step-by-step explanation:

Answer:

20+m=?

Step-by-step explanation:

if moore already has 20 songs and his freind brought m more books then we would need to find the total amount of books more has now.

Answer:

its m=185t

Step-by-step explanation:

because if you divide

An equation which represent the total meters (m) that Sam runs in t minutes is: B. m = 185t.

Mathematically, a proportional relationship can be represented with the following equation or mathematical expression:

m = kt

Where:

Next, we would determine the constant of proportionality (k) for each candy as follows:

From Jacob's running, we have the following:

Constant of proportionality (k) = t/m

Constant of proportionality (k) = 400/2

Constant of proportionality (k) = 200

Since Sam runs 15 meters less each minute than Jacob does, an equation that represent the total meters (m) that he runs in t minutes is given by:

m = (200 - 15)t

m = 185t

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To estimate the total distance traveled by the car in those 36 seconds, we can use the trapezium rule to approximate the area under the curve.

From the graph, we can see that the car's speed is constant between 0 and 30 seconds, and then it starts to decrease. Therefore, we can use a single trapezium to estimate the area under the curve for the first part.

The base of the trapezium is 30 seconds, and the height is the average of the speeds at 0 and 30 seconds. Let's denote the speed at 0 seconds as v0 and the speed at 30 seconds as v30.

The distance traveled in the first part can be estimated as:

Distance = 30 * (v0 + v30) / 2

To get a more accurate estimate, we need the specific values of v0 and v30 from the graph. Please provide the corresponding speed values for 0 and 30 seconds, and I can help you calculate the estimated distance.

Answer:

Your Answers : 112) median 30 f: 15

For the population to double, it takes around 7.07 hours.

The continuous exponential growth model is given by:

\(N(t) = N0 * e^{rt}\)

Where:

N(t) is the population size at time t

N is the initial population size (at t = 0)

r is the growth rate parameter

t is the time elapsed

We want to find the time t it takes for the population size to double, which means N(t) = 2N. Substituting into the growth model, we get:

\(2N = N * e^{rt}\)

Dividing both sides by N, we get:

\(2 = e^{rt}\)

Taking the natural logarithm of both sides, we get:

ln(2) = rt

Solving for t, we get:

t = ln(2)/r

Substituting r = 0.098 (9.8% as a decimal), we get:

t = ln(2)/0.098

t ≈ 7.07 hours

Therefore, it takes approximately 7.07 hours for the population size to double.

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The Range is the first component of the formula in parentheses.

What is Range

The range in statistics is the difference between the highest and lowest values for a specific data collection. For instance, if the given data set has the values 2, 5, 8, 10, and 3, the range will be 10 - 2 = 8.

It is possible to think of the range as the distance between the highest and lowest observation as a result. The consequence is known as the scope of observation. The breadth of statistics reflects the diversity of observations.

The first component of a sum or count calculation that is enclosed in the parenthesis is the Range.

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Answer:

y-int = 0

slope = -1

equation: y = -x

Step-by-step explanation:

The line crosses the y-axis at y = 0, so the y-intercept is 0.

Go from (0, 0) to (-1, 1).

slope = m = rise/run = 1/(-1) = -1

y = mx + b

y = -x

y-int = 0

slope = -1

equation: y = -x

Given :

Two similar triangles ΔABC and ΔSTU .

To Find :

The value of x.

Solution :

Since, ΔABC and ΔSTU are similar, so ratio of their sides are equal.

\(\dfrac{AB}{AC} = \dfrac{SU}{ST}\\\\\dfrac{x}{21}=\dfrac{13}{5}\\\\x = \dfrac{21\times 13}{5}\\\\x = 54.6\)

Therefore, value of x is 54.6 .

Answer:

sixty-eight and ninety-four hundredths

Step-by-step explanation:

Answer: sixty eight and ninety four hundredths

Step-by-step explanation:

60 = sixty

8 = eight

. = decimal (and)

.9 = nine tenths

.04 = four hundredths

so....

sixty eight and ninety four hundredths

The radius of the cylinder is 1.59 centimeters.

Remember that for a cylinder of radius R and height H, the volume is given by the formula:

V = pi*R^2*H

Where pi = 3.14

Here we know that the height is 76cm, and the volume is 600cm³, then we can replace these two in the equation to get:

600cm³ = 3.14*(76cm)*R^2

Solving for R, we will get:

R = √( 600cm³/3.14*(76cm)) = 1.59 cm

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The radius of the cylinder is r=50.129

The radius of the cylinder is the radius of a base. The altitude of the cylinder is a perpendicular segment from the plane of one base to the plane of the other and the height of the cylinder is the length of the altitude. The axis of a cylinder is the segment containing the centers of the two bases

The volume of a cylinder is 600,000.

The height is 76cm and the radius is unknown. How do you solve it?

The volume of a right cylinder can be determined by πr²h,

where

r is the radius,

h is the height, and

pi is a constant.

So:

76πr²=600000

πr²=600000/76=7894.736

r²=2512.972

r=50.129 cm^2

Hence, the radius is 50.129 cm^2

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To find the mean, we have to divide the sum of all numbers by the total number of items.

Answer:

if the question is 'are the odds of him choosing a red favorable' then the answer would be 'yes' because he has a better than 50% chance; P(red) = 70%

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) ÷ \(a^{n}\) = \(a^{(m-n)}\) , then

\(6^{9}\) ÷ 6³ = \(6^{(9-3)}\) = \(6^{6}\)

Answer:

Parallelogram ABCD was translated to parallelogram A'B'C'D'. ... When ΔRST is translated 4 units down, what is the coordinate of T'? ... C.​ ​7 units left and 5 units down. B. 7 units right and 5 units up. D. ... If the triangle DOG with coordinates (2, 2), (2, 10), (8, 6) is translated six units left and three units.

Step-by-step explanation:

Answer:

K=60

Step-by-step explanation:

1. Swap the sides of the equation

-0.2k = -12

2. divide both sides of the equation by -0.2

Thus makes it 60

Answer:

Explanation:

We have:

(

2

x

+

3

)

(

4

x

2

−

5

x

+

6

)

Now let's distribute this piece by piece:

(

2

x

)

(

4

x

2

)

=

8

x

3

(

2

x

)

(

−

5

x

)

=

−

10

x

2

(

2

x

)

(

6

)

=

12

x

(

3

)

(

4

x

2

)

=

12

x

2

(

3

)

(

−

5

x

)

=

−

15

x

(

3

)

(

6

)

=

18

And now we add them all up (I'm going to group terms in the adding):

8

x

3

−

10

x

2

+

12

x

2

+

12

x

−

15

x

+

18

And now simplify:

8

x

3

+

2

x

2

−

3

x

+

18Step-by-step explanation:

Answer:

8x3+2x2−3x+18

Step-by-step explanation:

I'm bad at explaining but trust me please

Answer:

a) 4

Step-by-step explanation:

y = 3x

Plug it in: x - 2 (3x) = 10 --> x - 6x = 10 --> -5x = 10 --> x =  -2

Therefore: y = 3(-2) --> y = -6

x - y = -2 - (-6) = 4

Answer:

--2

Step-by-step explanation:

hope this helps if not sorry

Answer:

x = 1

y = 2

Step-by-step explanation:

x=1 and y=2.

step 1 ,

2^2x*3^y=36

3^y= 36/2^2x ———- equal 1

step 2,

put the value of 3^y in 2^x*3^y = 18 (equal 1)

WHEN BASES ARE SAME POWERS ARE SUBTRACTED IN CASE OF DIVISION.

Therefore, 2^x-2^2x= 1/2

2^-x= 1/2

(1/2)^x = 1/2

COMPARING THE POWERS BECAUSE THE BASE IS SAME.

x=1.

Now, putting the value of x=1 in 2^x*3^y = 18

y=2.

The equation of line containing vertices (8,4) is y = 4.

Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is typically simple. The standard form and the point-slope form are other formats for linear equations.

Equation of line in slope - intercept form is

y = mx + c

where m= slope

c = y - intercept

As it is given that equation of line is horizontal,

this implies

x = 0

y = m (0) + c

y = c

Now, the given coordinates are (8,4)

Slope of the equation equals 0 As the line is horizontal.

⇒ y = 0 (8) + 4

⇒ y = 4

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Answer:

The equation that can be used to solve for m∠1 is:

m∠1 = One-half(a – b)

This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:

m∠1 + m∠2 = One-half(a + b)

Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:

m∠1 + m∠2 + m∠3 = 180

where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:

m∠1 + m∠3 = 180

Substituting the equation for the sum of the measures of angles 1 and 2, we get:

m∠1 + One-half(a + b) = 180

Solving for m∠1, we get:

m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)

Answer:

\( \sf \large \: x≤6 \: or \: x≥10\)

Step-by-step explanation:

Let's solve your inequality step-by-step.

x2−16x+60≥0

Let's find the critical points of the inequality.

x2−16x+60=0

(x−6)(x−10)=0(Factor left side of equation)

x−6=0 or x−10=0(Set factors equal to 0)

x=6 or x=10

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x≤6(Works in original inequality)

6≤x≤10(Doesn't work in original inequality)

x≥10(Works in original inequality)