4x+7-6x = 10 + 3x + 12

Answer:

36.516th percentile (below the mean)

Step-by-step explanation:

First, find the mean of the dataset, which would be 1.4865 in this case.

We then find the standard deviation, which would be about 0.1059

Next, find the z-score for the observed value 1.45, which would be (1.45-1.4865)/0.1059, which is about -0.3447, and this corresponds to a percentile of 36.516%

Answer:

\(j + ( 6 / c)\)

The owner of the construction company paid $0.05 per pound of cement.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in many fields, such as mathematics, statistics, science, engineering, economics, and finance, to model and analyze uncertain situations and make informed decisions based on data and evidence.

To find the cost per pound of cement, we need to divide the total cost by the total weight of cement purchased.

Cost per pound of cement = Total cost ÷ Total weight of cement

Total cost = $600.00

Total weight of cement = 12,000 pounds

Cost per pound of cement = $600.00 ÷ 12,000 pounds

Cost per pound of cement = $0.05

Therefore, the owner of the construction company paid $0.05 per pound of cement.

To learn more about probability from the given link:

https://brainly.com/question/30034780

#SPJ1

Answer:

Graph uploaded!

Step-by-step explanation:

First, let's simplify the inequality before graphing it on the line.

Now, let's graph it on the line. Please consider looking at my graph.

Hoped this helped!

The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

From the question, we have the following equations that can be used in our computation:

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

Read more about composite functions at

brainly.com/question/33401202

#SPJ1

Answer:

The added term needed for that expression to be a square is 9/16.

Step-by-step explanation:

We're provided with two terms, and asked to add an additional term to make this a perfect square.  For this to work, the term needs to be a scalar value that is the square of half the coefficient of the second term.

That coefficient is 3/2, so half of that is 3/4, and its square is 9/16.

If we tack that on the end then, we get:

\(x^2 + \frac{3x}{2} + \frac{9}{16}\\=(x + \frac{3}{4})^2\)

To confirm the answer, let's expand it and see if we get the original expression:

\((x + \frac{3}{4})^2\\= (x + \frac{3}{4})(x + \frac{3}{4})\\= x^1 + \frac{3x}{4} + \frac{3x}{4} + \frac{9}{16}\\= x^2 + \frac{6x}{4} + \frac{9}{16}\\=x^2 + \frac{3x}{2} + \frac{9}{16}\)

So 9/16ths is the scalar that needs to be added on the end.

The area of the enclosed shape is about 14.47 km^2.

We are given that;

056° for 9.8km and  3.5 km on a bearing of 112°

Now,

We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:

y = 180° - 56° - 112°

y = 12°

Now we can use the cosine rule to find z:

z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)

z^2 ≈ 101.87

z ≈ 10.09

Therefore, Fred is about 10.09 km away from his start point.

To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:

sin(56°) = x/9.8

x = 9.8 sin(56°)

x ≈ 8.27

The area of a triangle is given by half the base times the height, so:

A = (1/2)(3.5)(8.27)

A ≈ 14.47

Therefore, by trigonometric ratios the answer will be 14.47 km^2.

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ1

The value of f(g(2)) from the given functions f(x) and g(x) is 3.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are f(x)=2x²+1 and g(x)=3x-5.

We need to find f(g(2)).

Put x=2 in the function g(x)=3x-5, we get

g(2)=3×2-5

= 6-5

= 1

So, g(2)=1

Put x=1 in the function f(x)=2x²+1, we get

f(g(2))=2(1)²+1

= 2+1

=3

Therefore, the value of f(g(2)) is 3.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

Answer: B. 4

Step-by-step explanation: The interquartile range is just the distance in between the upper and lower quartiles. Therefore, to find the interquartile range, the equation in this case is 7 - 3, which equals 4.

Answer:

96

Step-by-step explanation:

i did 32 times 3

Answer:

Today: Tuesday, 12th January 2021

16.31 PM

\( \tt 4 \frac{1}{2} - 1 \frac{1}{3} \)

\( = \tt \frac{9}{2} - \frac{4}{3} \)

\( = \tt \frac{27 - 8}{6} \)

\( \tt = \frac{19}{6} \)

\({\orange{\boxed{\red{ \tt = 3 \frac{1}{6} }}}}\)

Answer:

x is 12

Step-by-step explanation:

The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

for such more question on length

https://brainly.com/question/20339811

#SPJ8

Answer:

2⁻⁴

Step-by-step explanation:

0.0625 = 1/16 = 1/2⁴ = 2⁻⁴

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

The mixed numbers that have 12 as the LCD are 2 11/12 and 6 4/5. All other fractions do not have 12 as the denominator and are not equivalent.

Mixed numbers consist of a whole number and a fractional part. To add or subtract mixed numbers, the fractions must have the same denominator (the bottom number of the fraction).

The LCD (lowest common denominator) is the smallest number that all of the denominators can be divided into evenly. In this case, the LCD is 12.

2 11/12 and 6 4/5 both have 12 as the denominator. The denominator of 11/12 can be divided by 11 and 12, so it is the same as 12/12. The denominator of 4/5 can be divided by 4 and 12, so it is the same as 48/12 (4 x 12 = 48). Therefore, both fractions have the same denominator.

The other fractions do not have 12 as their denominator. 3 1/7 can be divided by 3, 7, and 12, so it is the same as 21/12 (3 x 7 = 21). 5 3/4 can be divided by 4, 5, and 12, so it is the same as 60/12 (4 x 5 = 60). 8 38/47 can be divided by 8, 47, and 12, so it is the same as 376/12 (8 x 47 = 376). Since none of these fractions are equal to 12/12, they are not equivalent to the other two fractions.

For more questions related to fractions

https://brainly.com/question/28699958

#SPJ1

Question :

Which mixed numbers have 12 as the LCD (lowest common denominator)?

2 11/12

3 1/7

5 3/4

6 4/5

8 38/47

The period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately   \(170.3 feet.\)

Since the band members are standing in the shape of a sinusoidal function, we can assume that their positions can be represented by the equation:

\(y = A sin(Bx)\)

where y is the vertical position of a band member, x is the horizontal position on the field, A is the amplitude, and B is the period.

Since Darla is positioned in the exact center of the field, and the person closest to her on the same horizontal line stands 10 yards away, we can assume that the sinusoidal function has a phase shift of 0. This means that the midline of the function passes through the point (0, 0).

To find the amplitude, we need to determine the maximum and minimum heights of the function.

Since the playing area of the football field measures 300 feet by 160 feet, the distance between the two farthest points on the field is the diagonal distance, which can be calculated using the Pythagorean theorem:

\(sqrt(300^2 + 160^2) \approx 340.6 feet\)

Since the distance between the farthest points on the field is equal to the distance between two peaks or two valleys of the sinusoidal function, the amplitude is half of this distance:

\(A = 340.6/2 \approx170.3 feet\)

To find the period, we can use the fact that the distance between two consecutive peaks or valleys is equal to the period of the function.

Since the person closest to Darla stands 10 yards away, or 30 feet away, we can assume that this person is standing at a peak or a valley of the function. This means that the period is twice the distance between Darla and the person closest to her:

\(P = 2(30) = 60 feet\)

Therefore, the period of the sine function representing the position of the band members is 60 feet, and the amplitude is approximately   \(170.3 feet.\)

Learn more about coordinate here:

https://brainly.com/question/16634867

#SPJ9

Answer:

Results of the Assembly elections in five States are indeed a shot in the arm for the Bharatiya Janata Party (BJP), which won in all four States where it was in power. The Hindu editorial captures the broad trends that emerge out of these results. Prime Minister Narendra Modi has said these results have sealed the outcome of the 2024 Lok Sabha elections too in the BJP’s favour. He said people have rejected caste and dynastic politics.

The number of years it would it take for there to be one person for every square yard is 108,325.68 years.

When there is one person for every square yard, it means that the population and land area are equal in value.

Number of years = (In FV / PV) / r

(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years

To learn more about exponential functions, please check: brainly.com/question/26331578

Answer:

(❁´◡`❁)

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

x=12

Step-by-step explanation:

Using Proportion:

\(\tt \cfrac{x}{16} =\cfrac{9}{x}\)

\(\tt x^2=9(16)\)

\(\tt x=12\)

If the tiles have the same value then to make 0 you need:

3 negative tiles and 3 positive tiles.

Explanation:

If one tile has the value of 1 and you pot:

- 1 -1 - 1 + 1+ 1 + 1

it will be zero.

Answer:

5/6

Step-by-step explanation:

you must flip 3 over 5 and multiply

Answer:

the question is not well defined

Answer:

20,000

Step-by-step explanation:

the 1 will make the 21437 round down because it is less than 5

Answer: a

Step-by-step explanation:

Answer:

5 meters

Step-by-step explanation:

4m^2+3m^2= C^2

16m+9m=C^2

25=C^2

5=C