-2(1-4x)=3x+8find solution

Step-by-step explanation:

z-score of X = 6150

\( \frac{6150 - 6250}{250} = - 0.4 \\\)

z-score of X = 6350

\( \frac{6350 - 6250}{250} = - 0.4\)

P(X<6150) + P(X>6350)

=P(z<-0.4) + P(z>-0.4)

=0.3446+0.3446

=0.6892

Answer:

mode

Step-by-step explanation:

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

Answer:

Outside.

Step-by-step explanation:

7^2 + 4^2 = 62

65 does not equal 62 so outside of the circle.

Answer:

200 CENTIMETRES

Step-by-step explanation:

Answer:

x=-16 and X=16 beads "over" means divide

When we perform an addition or a subtraction of numbers and we want the appropiate number of significant figures we need to follow the steps:

0. Count the number of significant figures in the decimal portion of each number in the problem

1. Add or subtract in the normal fashion

2. Your final answer may have no more significant figures to the right of the decimal than the least number of significant figures in any number in the problem.

Let's follow this steps to solve the problem.

The first number (7.273) has three significant figures after the decimal point; the second number (12.37) has two significant figures after the decimal point.

Now we perform the subtraction:

Now, since the least number of significant figures for the numbers is two, this means that our result has to have only two significant figures after the decimal point; since the third significant figure after the decimal point is greater than 7 we round up the second significant figure after the decimal point but since this is nine we round up the first significant figure after the decimal point.

Therefore the correct result will be -5.1

The answer to the expression is  (x+3)/(x-1)

You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0

The given expressions are

(x² - 3x - 18) / (x²- 7x +6

(x²-6x +3x +19) / (x²-x -6x +6)

This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}

⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]

This means that [(x+3)(x-6)] / [(x-6)(x-1)]

Dividing by (x-6) to have

Therefore the value of the expression is (x+3)/(x-1)

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The solution for all three is mathematically given as

Generally, the equation for students taking only PE and not Bio and Eng is  mathematically given as

P(PBE)= 28 – (5+6+4)

= 28 - 15

= 13

Students taking only Bio and not PE and Eng

P(BP)= 31 – (5+4+2)

= 31 - 11

= 20  

Students who are merely studying English and are not also taking Bio and PE

P(EP)= 42 – (6+4+2)

= 42 - 12

= 30  

Now, students who have taken three different classes

P(3)= 100 - ( 13 + 5 + 4 + 20 + 2 + 30 + 6 )

= 100 - 80

= 20

In conclusion, Students who have taken BIO and PE but not ENG will get a = 5 for their efforts.

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There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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Answer:I think over 3.

Step-by-step explanation:

open bracket pi over 3 comma 2 times pi over 3 comma 4 times pi over 3 comma 5 times pi over 3 close bracket

open bracket pi over 3 comma 5 times pi over 3 close bracket.

The solution of the trigonometric function will be π/3, 2π/3, 4π/3, and 5π/3. Then the correct option is C.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The trigonometric equation is given below.

1/cos θ = 4 cos θ

The interval of the cos θ is [0, 2π).

Simplify the trigonometric equation, then the equation will be

cos² θ = 1/4

Taking square root on both side, then the equation will be

cos θ = ±1/2

Taking cosine inverse, then the equation will be

θ = cos ⁻¹(1/2)

θ = π/3, 2π/3, 4π/3, 5π/3

The solution of the trigonometric function will be π/3, 2π/3, 4π/3, and 5π/3.

Then the correct option is C.

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Answer:

9.9%

Step-by-step explanation:

Well, you would just divide the "other" category and the "total" category and then move the decimal over 2 spaces, because you need to multiply by 100 to turn your answer into a percent, so:

\(\frac{222}{2222} =0.09999...\\\)

Then once you multiply by 100, or move the decimal to the left 2 spaces, it becomes:

9.9%, which could be rounded to 10% or 9%.

Answer:

Step-by-step explanation:

C and E

Answer:

Let's assume the original price of the stock was x.

When the company announced it overestimated demand, the stock price fell by 40%.

So, the new price of the stock after the first decline was:

x - 0.4x = 0.6x

A few weeks later, when the seats were recalled, the stock price fell again by 60% from the new lower price of 0.6x.

So, the new price of the stock after the second decline was:

0.6x - 0.6(0.6x) = 0.24x

Given that the current stock price is $2.40, we can set up the equation:

0.24x = 2.40

Solving for x, we get:

x = 10

Therefore, the stock was originally selling for $10.

If he wants an average of 84, he needs to get at least 93 points.

Remember that the average value between 3 values A, B, and C is:

(A + B + C)/3

Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:

(76 + 83 + x)/3 = 84

159 + x = 252

x = 252 - 159

x = 93

So he needs to get at least 93 points in the next exam.

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Answer:

Yes

Step-by-step explanation:

x=10 would not however since it is a vertical line and fails the vertical line test where an x value cannot be repeated more than once.

y=10 would be a horizontal line coming from the point (0,10)

The rate of the decay of the given function is 75 percent.

The given function is y=12,500(3/4)ˣ

This function represents exponential decay with a base of (3/4). The rate of decay, "r", is equal to 3/4. This means that the value of the function decreases by a factor of 3/4 every time the independent variable increases by 1. Thus, the rate of decay is 3/4 or 75%.

Therefore, the rate of the decay of the given function is 75 percent.

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dy= 2|x|dx

integral dy= integral 2|x|dx

y= X² + c

Answer:

m∠A=77.32 degrees

Step-by-step explanation:

Use the inverse of tangent to solve for this unknown angle

\( \tan^{ - 1} = \frac{80}{18} \)

Answer:

m <A = 77.32°

Step-by-step explanation:

Use the inverse of tangent to solve for this unknown angle

\(tan^-1 = \frac{80}{18}\)

Answer:

30

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

The perimeter of the marked polygon is 26 units.

Perimeter is the distance around the outside of a shape.

Given is a polygon, ABCDEF,

Using the distance formula, we have,

(P, Q) = √ (x2 – x1)² + (y2 – y1)².

AB = 3 units

BC = 4 units

CD = 3 units

DE = 7 units

EF = 6 units

FA = 3 units

Perimeter = AB+BC+CD+DE+EF+FA = 3+4+3+7+6+3 = 26 units.

Hence, The perimeter of the marked polygon is 26 units.

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Answer:

exponential!!! That is the answer if this is for Khan Academy!!

The total number of rings available for selection is 1350.

The combination is a process of knowing the number of ways of selecting a smaller set of articles from a larger set of articles where the order of selection is invariant.

If we select r items from n items in no particular order, the number of ways of doing so is calculated using combinations by the formula:

nCr = n!/{ r! (n - r)! }.

In the question, we are given that to order a class ring, students must decide on gold, silver, or white gold band and one of 15 stones. They must also choose from one of 30 activity symbols to put on the side.

We are asked the number of different ring selections there.

For the band:

Options  available, n = 3.

Options to select, r = 1.

Thus, using combinations, the number of ways of selecting 1 band from 3 bands = 3C1 = 3!/{1! (3 - 1)! } = 3!/1!2! = 3.

For the stone:

Options available, n = 15.

Options to select, r = 1.

Thus, using combinations, the number of ways of selecting 1 stone from 15 stones = 15C1 = 15!/{1! (15 - 1)! } = 15!/1!14! = 15.

For the symbol:

Options  available, n = 30.

Options to select, r = 1.

Thus, using combinations, the number of ways of selecting 1 symbol from 30 symbols = 30C1 = 30!/{1! (30 - 1)! } = 30!/1!29! = 30.

The total number of rings available is the product of the three.

Thus, the total number of rings available for selection = 3*15*30 = 1350.

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Answer:

The answer is 7

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \)

for our purposes we must rearrange this problem to find one of the sides, not the hypotenuse

\( {a}^{2} = {c}^{2} - {b}^{2} \)

plugging in our numbers we get

\( {25}^{2} - {24}^{2} = 49\)

\( \sqrt{49} = 7\)

Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

Answer:

4^2=4x4=16

16 divided by 2=8

Answer:

9.95h + 5  ≤ 125

Step-by-step explanation:

let 'h' = number of hats

Approximately 7 employees took a break longer than 49 minutes.

We have,

In a box-and-whisker plot, the box represents the interquartile range (IQR), which includes the middle 50% of the data.

The line within the box represents the median.

The "whiskers" extend to the minimum and maximum values, excluding any outliers.

Given the information provided:

Median = 41

Q1 = 37

Q3 = 49

Largest = 55

Smallest = 35

Since Q3 represents the upper quartile and corresponds to the boundary for the upper 25% of the data, we can conclude that 25% of the employees took a break longer than 49 minutes.

Now,

The number of employees who took a break longer than 49 minutes can be estimated by calculating 25% of the total number of employees:

25% of 27 employees

= (25/100) x 27

= 6.75

Since we cannot have a fractional number of employees, we round up to the nearest whole number.

Therefore,

Approximately 7 employees took a break longer than 49 minutes.

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Answer:

1

Step-by-step explanation:

1.  One way to do this is converting both into improper fractions.  To do this, multiply the whole number by the denominator and add that to the numerator.

2 3/5 --> 2*5 is 10 --> 10+3 is 13.  --> 13/5

2.  This leaves us with 13/5 - 8/5

3.  Subtract the numerators

13/5 - 8/5 = 5/5

4.  Simplify.  If the numerator is the same number as the denominator, it's a whole number.

5/5 = 1

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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Answer:

REPOST THE QUESTION WITH THE WHOLE QUESTION IN FRAME

Step-by-step explanation:

Answer:

Step-by-step explanation:

The logical sequence would be II, III and then I.

We are stating the points are on the same line, then stating that the straight line is forming a 180° angle.

It is logical after these two steps to state the line is cut by two parallel lines and move to next steps of the proof.