Solve for the unknown in the following equation. (Do not round the answer. If the solution is a repeating decimal, enter the answer as proper fraction or a mixed number .) 2x +x = 3 X

3. the probability that the box is accepted is approximately 0.89796 or 89.796%.

To determine the probability that the box is accepted, we need to calculate the probability that both microphones selected from the box are working. Let's break down the calculation step by step:

1. Probability of selecting the first working microphone:

Since there are 45 excellent (working) microphones out of a total of 50 in the box, the probability of selecting a working microphone as the first choice is 45/50.

2. Probability of selecting the second working microphone:

After the first microphone is selected, there are 49 microphones remaining in the box, out of which 44 are working microphones. Therefore, the probability of selecting another working microphone as the second choice is 44/49.

3. Probability that both microphones selected are working:

To find the probability that both microphones selected are working, we multiply the probabilities from steps 1 and 2:

Probability = (45/50) * (44/49) ≈ 0.89796.

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Answer: 28

Step-by-step explanation:

16% = 0.16

Percents are just decimals!

Now you can put this in your calculator, and you will get 28.

However:

It might help you later to know that x% of y = y% of x

In other words, 16% of 175 is the same thing as 175% of 16

This problem is easier, since we can break 175% into 1 and 3/4th. 3/4th of 16 is easy to calculate, (its 12), and so we can add 12 to 16 to find the answer, which is still 28 :)

No calculator needed!

The option A is the correct answer which is the margin of error for this 90% confidence interval is 0.75.

What is Margin of Error?

The margin of error is a statistic that describes the degree of random sampling error in survey data. One should have less faith that a poll's findings will accurately represent the findings of a population-wide census the higher the margin of error.

From Margin of Error formula:

Margin of Error = (s/√n) * Tcritical

Where,

MOE = Margin of error

Tcritical = Quantile

s = Standard deviation

n = Sample size.

Substitute values,

MOE = (3.78/√71) * 1.67

MOE = 0.7492

MOE ≈ 0.75

Hence, the margin of error for this 90% confidence interval is 0.75.

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Answer:

22.25

Step-by-step explanation:

1302-1124/2016-2008

Answer:

5 and  13 are prime numbers

Step-by-step explanation:

Answer:  5, 13,

Step-by-step explanation:

the length of the side of this square is \(4\sqrt{2} \:or \:5.65\)cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=\(\frac{64}{2}\)

a²=32

doing square root on both side

\(\sqrt{a²}=\sqrt{32}\)

a=±\(\sqrt{2*2*2*2*2}\)

a=±2*2\(\sqrt{2}\)

Since side of square is always positive so

a=4\(\sqrt{2}\) or 5.65 cm

Answer:

Given :

↠ The diagonal of a square is 8 cm.

To Find :

↠ The length of the side of square.

Using Formula :

Here is the formula to find the side of square if diagonal is given :

\(\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} \)

Where :

Solution :

Substituting the given value in the required formula :

\({\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}\)

\({\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}\)

\({\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}\)

\({\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}\)

\({\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}\)

\({\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}\)

Hence, the length of the side of square is 5.6 cm.

\(\underline{\rule{220pt}{3pt}}\)

Radius of hot tub = 4 feet, hot tub can hold 175.84 cubic feet of water but as per guideline recommended up to 140 672 cubic feet water should be filled.

A large three-dimensional geometrical shaped tub usually cylindrical used for hot shower bath.

Suppose the hot tup is cylindrical in shape. The circumference given= 25.12 feet.

as per the formula of circumference for cylinder. 2πr = 25.12 feet

height of tub, h = 3.5 feet

let the radius = r

from above equation, radius, r = 25.12/ (2π) = 25.12/ (2 x 3.14)

                        radius = 4 feet

now, volume of cylinder = πr²h

                                        = 3.14 × (4)²× 3.5

                                      = 175.84 cubic feet

volume of water holds by the tub = 175.84 cubic feet

Water should be up to the 80% of total volume of hot tub = 175.84/100 x 80

  = 140.672 cubic feet of water

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Answer:

15 36 39

Step-by-step explanation:

Pythagorean formula = a^2+b^2=c^2

(x+a)^2 =

x^2+2ax+a^2

a^2= (x - 1)^2 = x^2 -2x + 1

b^2 = (x + 20)^2 = x^2 + 40x + 400

c^2 = (x + 23)^2=  x^2 +46x +529

a^2+b^2=c^2

(x^2 -2x + 1) + (x^2 + 40x + 400) = x^2 +46x +529

x^2 -8x -128 = 0

(x-16) (x+8) = 0

x = 16 x= -8

you cant have a negative amount of a triangle side so

x = 16

and so

the triangle sides are

15 36 39

a) The actual distance between towns K and L is: 100 km

b) As shown in the attached file

c) The bearing of town L from town K is 117 degrees.

The scale of the map is given as:

1 cm to represent 50 km

Now, when we measure the distance between K and L on the map, we see that it gives us a distance of 2 cm.

Using the scale of 1 cm: 50 km, we can say that:

Actual distance between towns K and L = (2 * 50)/1 = 100 km

b) Using a compass and it’s 3cm aiming down {South} as seen in the attached photo. Then a line was drawn aiming {South} with a ruler. On the end of the line the (x) point was put there to get the mark.

c) Measuring the angle gives the bearing of town L from town K which is 117 degrees.

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Answer: bro its the last one

Step-by-step explanation:

Answer:

its G.

Step-by-step explanation:

do you want the explanation? cuz i could i give one :)

1. RA Using all fifth-grade classes in the campus demonstration school, a researcher divides the students in each class into two groups by drawing their names from a hat.

2. RS All students with learning handicaps in a school district are identified and the names of 50 are pulled from a hat. The first 25 are given an experimental treatment, and the remainder are taught as usual.

3. B All third-grade students in an elementary school district who are being taught to read by the literature method are identified, as are all students who are being taught with basal readers. The names of all students in each group are placed in a hat and then 50 students from each group are selected.

4. O Students in three classes with computer assistance are compared with three classes not using computers because no randomization is involved.

1. The first scenario describes a random assignment; hence RA is involved. This is because students are assigned to one group or the other by drawing their names from a hat.

2. The second scenario describes a random selection since students are identified and the names of 50 are pulled from a hat. Therefore RS is involved in this scenario.

3. The third scenario describes both random selection and random assignment. It describes how all third-grade students in an elementary school district who are being taught to read by the literature method are identified and those who are being taught with basal readers. Their names are placed in a hat and then 50 students from each group are selected.

Therefore, B is involved in this scenario.

4. In the fourth scenario, no randomization is involved. Students in three classes with computer assistance are compared with three classes not using computers. Therefore O is involved in this scenario.

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Answer:

4x² + 11x + 6 = (x + 2)(4x + 3)

The point where marginal cost equals $15 is at the production of the 7th pizza. Therefore, the firm should produce 7 pizzas.

The firm's shut-down price is the price at which the firm is indifferent between producing and shutting down.

Using the table provided, we can calculate the missing values:

Variable Cost:

For 0 pizzas, the variable cost is $0.

For 1 pizza, the variable cost is $10.

For 2 pizzas, the variable cost is $12.

For 3 pizzas, the variable cost is $2.

For 4 pizzas, the variable cost is $1.

For 5 pizzas, the variable cost is $2.

For 6 pizzas, the variable cost is $3.

For 7 pizzas, the variable cost is $13.

For 8 pizzas, the variable cost is $16.

For 9 pizzas, the variable cost is $3.

For 10 pizzas, the variable cost is $6.

For 11 pizzas, the variable cost is $4.

Total Cost: To calculate the total cost, we simply add the variable cost and the fixed cost for each level of output. The fixed cost is not given in the table, so we cannot calculate the total cost.

Average Variable Cost:

To calculate the average variable cost, we divide the variable cost by the level of output. For example, the average variable cost for 1 pizza is $10/1 = $10.

Average Fixed Cost:To calculate the average fixed cost, we divide the fixed cost by the level of output.

Average Total Cost: To calculate the average total cost, we add the average variable cost and the average fixed cost. The firm should produce pizzas up to the point where marginal cost equals marginal revenue.

This is the point where the firm maximizes its profit. From the table, we can see that the marginal cost is increasing as output increases, while the marginal revenue remains constant at $15.

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Answer:

Zero frequency:  

✔ 351–400

A peak:  

✔ 651–700

Step-by-step explanation:

Answer:

B: 351-400 (zero frequency)

A: 651-700 (peak)

Step-by-step explanation:

edg2020

so in the template above for a conic, the defining components are the coefficients A and C

If either A=0 or C=0, then the equation is a parabola

if A=C, then we have a Circle

if either A or C is negative, and A≠C, then we have a hyperbola

if A and C are both positive or both negative, and A≠C, then we have an ellipse.

The equation can be used to find other combinations of x and y is  y^2 = (1/16)x^3

The direct variation from the square of y to the cube of x is represented as:

y^2 = kx^3

Where k represents the variation constant.

When x = 4, y = 2.

So, we have:

2^2 = k * 4^3

This gives

4 = 64k

Divide both sides by 64

k = 1/16

Substitute k = 1/16 in y^2 = kx^3

y^2 = (1/16)x^3

Hence, the equation can be used to find other combinations of x and y is  y^2 = (1/16)x^3

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The gates diagram for the expression "(x AND y) NAND (w OR z)" consists of an AND gate, an OR gate, and a NAND gate. The inputs x, y, w, and z are connected to these gates, and the output is represented by O.

Here is the gate diagram for the expression "(x AND y) NAND (w OR z)":

  x       y         w       z

  │       │         │       │

  └───────┼─────────┼───────┘

          │         │

        ┌─┴─┐     ┌─┴─┐

        │AND│     │OR │

        └─┬─┘     └─┬─┘

          │         │

         ┌┴┐       ┌┴┐

         │NAND│    │NAND│

         └┬┘       └┬┘

          │         │

          │         │

          │         │

         ─┴─       ─┴─

          │         │

          Y         O

          │         │

          │         │

          │         │

In the gate diagram, the inputs x, y, w, and z are connected to their respective gates. The gates used in the diagram are:

AND gate: Performs a logical AND operation on the inputs x and y.

OR gate: Performs a logical OR operation on the inputs w and z.

NAND gate: Performs a logical NAND operation on the outputs of the AND gate and the OR gate.

The output of the entire expression is represented by the letter O. The gate diagram illustrates the logical structure of the expression and how the inputs are combined to produce the final output using the specified logic gates.

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Answer:

c is the correct answer i took the test

Step-by-step explanation:

The gender that shows greater variability in their playing time is C. Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

For the males, the interquartile range will be:

= Third quartile - First quartile

= 17 - 9

= 8

For the females, the interquartile range will be:

= Third quartile - First quartile

= 15 - 3

= 12

Therefore, girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

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Answer:

(-3, -1)

Step-by-step explanation:

The equation is already in vertex form.

y = a(x-h)^2 + k where (h,k) is the vertex.

Therefore the vertex is (-3, -1)

Answer:

the distance from Minneapolis to Duluth is 137 miles

Step-by-step explanation:

The computation of the distance from Minneapolis to Duluth is shown below:

Given that

The cost per mile is $0.40

And, the total trip cost is $54.80

So based on the above information

The distance from Minneapolis to Duluth is

= $54.80 ÷ $0.40

= 137 miles

Hence, the distance from Minneapolis to Duluth is 137 miles

The same would be considered

Answer:

17.5

Step-by-step explanation:

y=kx

35=140k

k= 35/140

k= 1/4

y=1/4X

when X=70

y= 1/4*70

y= 17.5

Therefore, the volume of the solid bounded by the coordinate planes and the plane 5x + 3y + z = 15 is 112.5 cubic units.

To find the volume of the solid bounded by the coordinate planes (x = 0, y = 0, z = 0) and the plane 5x + 3y + z = 15, we need to determine the limits of integration for each variable.

First, let's rearrange the equation of the plane to isolate z:

z = 15 - 5x - 3y

Now, we can express the limits of integration for x, y, and z:

For x, since the solid is bounded by the coordinate plane x = 0 and the plane 5x + 3y + z = 15, we have 0 ≤ x ≤ 3 (by solving 5x + 3y + z = 15 for x when y = 0 and z = 0).

For y, the solid is bounded by the coordinate plane y = 0 and the plane 5x + 3y + z = 15, so 0 ≤ y ≤ 5 (by solving 5x + 3y + z = 15 for y when x = 0 and z = 0).

For z, we have 0 ≤ z ≤ 15 - 5x - 3y (from the equation of the plane).

Now we can set up the triple integral to calculate the volume:

V = ∫∫∫ dV

Integrating over the limits of x, y, and z:

V = ∫[0 to 3] ∫[0 to 5] ∫[0 to 15 - 5x - 3y] dz dy dx

Integrating the innermost integral:

V = ∫[0 to 3] ∫[0 to 5] (15 - 5x - 3y) dy dx

Integrating the second integral:

V = ∫[0 to 3] [(15y - (3y^2)/2 - 5xy)] [0 to 5] dx

Simplifying:

V = ∫[0 to 3] [(75 - 15x - (15x^2)/2 - 25x)] dx

Integrating the final integral:

V = [75x - (15x^2)/2 - (15x^3)/6 - (25x^2)/2] [0 to 3]

V = (753 - (153^2)/2 - (153^3)/6 - (253^2)/2) - (750 - (150^2)/2 - (150^3)/6 - (250^2)/2)

V = (225 - 135/2 - 135/2 - 225/2) - 0

V = 225 - 135/2 - 135/2 - 225/2

V = 225 - 135 - 135/2

V = 225/2 - 135

V = 112.5

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Answer: A false

B True

C false

D True

Step-by-step explanation: Please give brainliest I really need it.

A. False

B. True

C. False

D. True

The type of triangle is △STR is isosceles triangle.

A triangle is a flat shape bounded by three sides. In another sense, a triangle is formed by three line segments called sides and each side intersects with two other sides.

When classified from its angles, triangles consist of acute triangles, right triangles, and obtuse triangles. Even so, the sum of the angles of a triangle is always 180 degrees. Based on the classification of its sides, triangles consist of equilateral triangles, arbitrary triangles, and acute triangles.

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By applying the congruency of triangles, it can be concluded that ΔCDE ≅ ΔFDE by AAS theorem

Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure. The symbol of congruence is ≅.

There are some postulates used to prove congruency:

Now we take a look at the given picture, the take some notes:

∠C = ∠F ----> corresponding angles

∠DEC = ∠DEF  ----> corresponding angles

DE = DE  ----> adjacent sides

Thus ΔCDE ≅ ΔFDE by AAS postulate

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x+5+x+x+5=4x+10

Answer:

4x+10

Step-by-step explanation:

x+5+x+x+5=4x+10

Answer:

X less than 10

Step-by-step explanation:

The problem is set up 2x - 8 < 12

So add 8 to both sides to get 2x <20, and then divide by 2 to get x < 10

Answer:

x< or = 9

Step-by-step explanation:

if you try to fill in the equation, the highest you can go without equaling or surpassing 12 would be 9.

2(10)-8=12 but

2(9)-8=10

I really hope this helps, i am sorry if i misunderstood the question....

Answer:

-1/2

Step-by-step explanation:

Ignore the (2,2) just use (-2,1) and (-4,2)