Select all of the values that are solutions to the following inequality. *
3(2a-1)> 10a - 11

Answer:

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

Answer:

Two remote interior angles.

Answer:none of the options is correct

the answer is (5,0)

Step-by-step explanation:

Jelly beans are $1.5/lb and trail mix is $2.063/lb, according to the data.

A heterogeneous mixture would be a trail mix. When the components of a combination are dispersed unevenly across the mixture, the mixture is said to be heterogeneous. As a mixture of nuts, raisins, and other seeds, trail mix cannot have an evenly distributed dispersion of its ingredients.

t = trail mix, j = jelly beans

3t + 8j = 21

5t + 2j = 18

Solving the first for t

2t = 6j - 3

t = (6j - 3)/2

Substituting

5(6j - 3)/2 + 2j = 18

j = 51/34

j = 1.5, Jelly beans cost $1.5/lb

now,

8t + 3(1.5) = 21

8t = 16.5

t = 2.0625, trailmix costs $2.063 dollars/lb

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The Summation of k from 0 to n of (-1)^k*n choose k = (-1)^n+1 . To find a closed form expression equivalent to the given sums using the binomial theorem:

We can use the binomial theorem to expand expressions that involve binomial coefficients. By doing so, we can simplify the original expressions and find a closed form that involves only constants and simple arithmetic operations. Therefore, we can use the binomial theorem to find a closed form expression equivalent to the given sums.

Summation of k from 0 to n of n choose k:

We know that n choose k is equal to (n!)/(k!(n-k)!), which is the coefficient of the k-th term in the expansion of (1+x)^n. Therefore, we can write:

Summation of k from 0 to n of n choose k = Summation of k from 0 to n of coefficient of k-th term in (1+x)^n

Using the binomial theorem, we know that (1+x)^n = Summation of k from 0 to n of (n choose k)x^k. Therefore:

Summation of k from 0 to n of n choose k = Summation of k from 0 to n of coefficient of k-th term in (1+x)^n

= Summation of k from 0 to n of (n choose k) = 2^n

Summation of k from 0 to n of (-1)^k*n choose k:

Similarly, we can write:

Summation of k from 0 to n of (-1)^k*n choose k = Summation of k from 0 to n of coefficient of k-th term in (1-x)^n

Using the binomial theorem, we know that (1-x)^n = Summation of k from 0 to n of (-1)^k*(n choose k)x^k. Therefore:

Summation of k from 0 to n of (-1)^k*n choose k = Summation of k from 0 to n of coefficient of k-th term in (1-x)^n

= coefficient of n-th term in (1-x)^n - coefficient of (n+1)-th term in (1-x)^n

= (-1)^n*(n choose n) - (-1)^(n+1)*((n+1) choose (n+1))

= (-1)^n - (-1)^(n+1)

= (-1)^n+1

Therefore, Summation of k from 0 to n of (-1)^k*n choose k = (-1)^n+1

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Answer:

its a

Step-by-step explanation:

Answer:

  16x -2

Step-by-step explanation:

You know how to compute the perimeter of a rectangle of length L and width W:

  P = 2(L+W)

Here, you're asked to use the given algebraic expressions for length and width and simplify the result of putting those in the perimeter formula.

  P = 2((5x-2) +(3x+1))

  P = 2(8x -1)

  P = 16x -2 . . . the perimeter of the rectangle

AB=AD=8CM

Step-by-step explanation:

I Go To that school

Answer:

77

Step-by-step explanation:

To find the median marks, we first need to arrange the scores in ascending order:

55, 60, 65, 77, 80, 82, 85

Since there are 8 students, the middle value will be the 4th value in the ordered set. In this case, the median marks will be 77

Therefore, the median marks for the 8 students in maths is 77.

Answer:

$207.66

Step-by-step explanation:

30% off is the same as saying there is 70% not off, and 70% is the same as 0.70

0.70*349= 244.30

15% off is the same as saying 85% is not off, and

85% is the same as 0.85

0.85*244.30=207.655

because it's money, you round to 2nd decimal place

$207.66

hope this was helpful :)

The expected value of the total number of tosses is 1/(p + q).

Let's break down the problem step by step:

First, we toss coin A until we obtain heads for the first time. The expected number of tosses for this is 1/p, where p is the probability of obtaining heads with coin A.

Once we obtain heads with coin A, we move on to tossing coin B until we obtain heads for the first time. The expected number of tosses for this is 1/q, where q is the probability of obtaining heads with coin B.

Since the tosses of coin A and coin B are independent, we can sum up the expected number of tosses for each coin to find the total expected number of tosses.

Therefore, the total expected number of tosses is 1/p + 1/q.

In the given exercise, the probabilities of obtaining heads with coin A and coin B are not specified, so we cannot provide a specific numerical answer. However, the general formula for the expected value of the total number of tosses is 1/(p + q).

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Answer:

1.2

Step-by-step explanation:

17 ÷ 20 + 7 ÷ 20

I hope this helps!

The length of side x is given as follows:

\(x = 2\sqrt{7}\)

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

In the context of this problem, we have that the parameters are given as follows:

Hence we apply the sine of 30º to obtain the length x, as follows:

sin(30º) = sqrt(7)/x

\(\frac{1}{2} = \frac{\sqrt{7}}{x}\)

\(x = 2\sqrt{7}\)

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Answer:

C.) 7/21*7/21=49/441

Step-by-step explanation:

Because there is a total of 21 chips and 7 are yellow.

It wouldn't be D because 7/21+7/21=14/21 and not 49/441

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/night/afternoon!!!

Answer:

I agree with the other person

have a good day :)

Step-by-step explanation:

To analyze the variables Birth Rate and Death Rate at the same time the scatter plot would be appropriate to use.

A scatter chart, also called as a scatter plot, is a graph that displays the correlation between two variables. They are a very effective type of chart because they enable viewers to see relationships or trends that would be nearly impossible to see in any other form right away.

Modern scatter charts are based on René Descartes' 17th-century cartesian coordinates system, albeit their exact origins are unknown. The majority of scatter plots used in science journals and publications may be found there.

One of the most adaptable and practical inventions in the history of statistical graphs is the scatter chart. This can seem like a bold statement, but scatter charts help make sense of muddled data. They are a tool for discovery as well as visualisation, which is a much bigger role for them.

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Answer:True

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Just think, if the original  number is negative, multiply it by another negative and it is positive, multiply it by another negative and it is negative.

Answer:

In a cube, the length and width are the same, so both sides will be 7 cm, yielding an area of 49 square centimeters.

Step-by-step explanation:

Answer:

Cube's features;

Given this information, we must find the area of one side and multiply that area by 6 since there are 6 equal sides of the same area.

Formula for area of square:-

A = a^2

or

A = a · a

Where 'a' represents the length of one side.

Plug in values;

A = a^2

A = 7^2

A = 49 centimetres is the area of one side.

Now we find the areas of all sides (6 sides in total);

49(6)

= 294 is the surface area of the cube.

The equation of the locus of the moving point that maintains a distance of 4 units from the X-axis is y = ±4, representing two parallel horizontal lines.

To find the equation of the locus of a point that always maintains a distance of 4 units from the X-axis, let's analyze the given information.

Let P(x, y) be the moving point and Q(x, 0) be the fixed point on the X-axis. The distance between P and Q is denoted by PQ. According to the problem, PQ is always 4 units.

Using the distance formula, we have:

PQ² = (x - x)² + (y - 0)²

Since the x-coordinate of both P and Q is the same (x - x = 0), the equation simplifies to:

PQ² = y²

Substituting the value of PQ as 4 units:

4² = y²

16 = y²

Taking the square root of both sides:

\(\sqrt{16 } = \sqrt{y^2}\)

±4 = y

Therefore, the y-coordinate of the moving point P can be either positive or negative 4, giving us two possible solutions for the y-coordinate.

Hence, the locus of the moving point P that maintains a distance of 4 units from the X-axis is given by the equation:

y = ±4

This equation represents two horizontal lines parallel to the X-axis, with y-coordinates at +4 and -4. Any point (x, y) on these lines will always be at a constant distance of 4 units from the X-axis.

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Working together, Shayna and Huong can clean an attic in 6.16 hours. Had she done it alone, it would have taken Huong 11 hours. Therefore, Shayna can clean the attic alone in 80 hours.

Let's denote the amount of work to be done by x units. The work done by Shayna in one hour is y.

Shayna and Huong work together for 6.16 hours, so in one hour they do 1/6.

16 of the work together.According to the problem:

x/6.16 = 1/6.16 units per hour

Therefore, the amount of work done by Huong in one hour is (x/11).

Now, we can express the amount of work done by Shayna and Huong in one hour as:

(x/11) + y = 1/6.16

To determine the value of y, we can solve the above equation. Solving the equation:

(x/11) + y = 1/6.16y = (1/6.16) - (x/11)y = (11-6.16x)/(11 × 6.16)

So the amount of work done by Shayna in one hour is y = (11-6.16x)/(11 × 6.16).

To find how long it would take Shayna to do it alone, we have to express the amount of work done by Shayna alone in one hour as x/h.

Using the unitary method we have:

x/h = yx/h = (11-6.16x)/(11 × 6.16)

hx = 11 × 6.16 - 6.16x

hx + 6.16x = 11 × 6.16

hx = (11 × 6.16)/0.84 = 80 hours

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Answer:6

Step-by-step explanation:

Answer:

x = - 10

Step-by-step explanation:

7x + 40 = 5x + 20

7x + 40 - 40 = 5x + 20 - 40

7x = 5x - 20

7x - 5x = 5x - 5x - 20

2x = - 20

2x ÷ 2 = - 20 ÷ 2

x = - 10

Where the above is given,

Range

Range = Maximum value - Minimum value

Range = 2.50 - 0.01

= 2.49 inches

Sample Variance

Step 1  - Calculate the mean (average) of the data.

Mean = (0.47 + 0.27 +0.13 + 0.54 + 0.08 + 1.05 + 0.34 +   0.26 + 0.42 + 0.17 + 0.50 + 0.86 + 0.01 + 2.5) / 14

= 1.36 /14

= 0.0971

Step 2  - Calculate the squared deviation from the mean for each data point.

Deviation from mean = Data point - Mean

Squared deviation = (Deviation from mean)²

Sum of squared deviations = (0.3739 + 0.0091 + 0.7307 + 0.1638 + 0.9469 + 0.104 + 0.0145 + 0.0081 + 0.0971 + 0.3037 + 0.0601 + 0.2601 + 1.0679 +   3.1391)

= 7.2799

Sample Variance = Sum of squared deviations / (n - 1)

= 7.2799/ (14 - 1)

= 0.5599

Sample Standard Deviation:

Sample Standard Deviation = √(Sample Variance)

= √0.5599

= 0.7483

Coefficient of Variation:

Coefficient of Variation = (Sample Standard Deviation / Mean) * 100

= (7.2799/ 0.0971) * 100

= 7497.32

Z-Scores for each data point

Z1= (0.47   - 0.0971)/ 0.7212= 0.5318

Z2= (0.27   - 0.0971)/ 0.7212= 0.9983

Z3= (0.13   - 0.0971)/ 0.7212= 0.0456

Z4= (0.54   - 0.0971)/ 0.7212= 0.6189

Z5= (0.08   - 0.0971)/ 0.7212=   -0.0251

Z6= (1.05   - 0.0971)/ 0.7212= 1.2914

Z7= (0.34   - 0.0971)/ 0.7212= 0.4574

Z8= (0.26   - 0.0971)/ 0.7212= 0.2251

Z9= (0.42   - 0.0971)/ 0.7212= 0.4969

Z10= (0.17   - 0.0971)/ 0.7212= 0.1002

Z11= (0.50   - 0.0971)/ 0.7212= 0.6506

Z12= (0.86   - 0.0971)/ 0.7212= 1.0242

Z13= (0.01   - 0.0971)/ 0.7212=   -0.1208

Z14= (2.50   - 0.0971)/ 0.7212= 3.3999

To determine   if there are any outliers, we can compare the absolute values of the Z-Scores to a certain threshold , commonly considered as 2.

If the absolute value of a Z-Score is greater than 2,   it indicates that the corresponding data point is an outlier.

In this case,   Z14 = 3.3999, which is greater than 2 , suggesting that the data point 2.50 inches may be considered an outlier based on the Z-Score criterion.

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Step-by-step explanation:

Hey there!

The points P1(3,-3) and midpoint is (-2,1). Let (X,y) be the end point.

Note: Find through using midpoint formula.

midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )

Put all values.

(\frac{X+3}{2},\frac{-3+y}{2})

Since they are equal, equating with it's corresponding components.

\frac{3 + x}{2} = - 2

-2 = 3 + x

-4 -3= x

Therefore, X= -7.

Now,

\( \frac{ - 3 + y}{2} = 1\)

\( - 3 + y = 2\)

Therefore, y= 5

Therefore, the other end point is (3,5).

Hope it helps...

When solving for b the steps that are correct are Step (1) and Step (3)   .

In the question

it is given that

Latrice has fabric of triangular pattern .

she wanted to find the base of the triangle ,

we know that the area of the triangle is

A = (1/2) * b * h

On multiplying both sides by 2 ,

we get

2*A = b*h

hence the Step (1) is correct .

and Step (2) is incorrect .

Next we divide both sides by h

we get

(2*A)/h = (b*h)/h

(2*A)/h = b

So , Step(3) is correct .

and Step(4) and Step(5) are incorrect .

The formula for the base is b = (2*A)/h  .

Therefore , When solving for b the steps that are correct are Step (1) and Step (3)   .

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Given:

Vertex of the parabola is (0,0).

Answer:

this is from a angle I think you want to write perimeter and area of this ×+1= and you want see that

The area of the bathroom floor = 8,900 square inchesArea of one tile = Length × Width= 6 × 14= 84 square inchesTo determine the least number of tiles needed, divide the area of the bathroom floor by the area of one tile.

That is:Number of tiles = Area of bathroom floor/Area of one tile= 8,900/84= 105.95SPSince she can't use a fractional tile, the least number of tiles Jenna needs is the next whole number after 105.95. That is 106 tiles.Jenna will need 106 tiles to redo her bathroom floor.

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Answer:

Answer is a

Step-by-step explanation:

You count carbon is c so count the black circles there are 5 and do the same with the rest

Answer:

Step-by-step explanation:

a

As a fraction, length of the 15 rods = 8 4/7 feet

As decimal, length = 8.57 feet

initial length pipes = 4 feet

Dividing the length of the pipe into 7:

length of 15 of those rods:

The concept of a 5% slack in a line means that the length of the line is 5% longer than it would be if it were completely straight. To help Matt understand this concept, you can compare AABC to Figure DEF, where curve DE is 5% longer than line segment AB.

In Figure DEF, line segment AB represents the length of the line without any slack. When we introduce Slack, we make the line longer. In this case, curve DE represents the line with a 5% slack. This means that the length of curve DE is 5% longer than the length of line segment AB.

Let's consider an example to better understand this concept. Suppose the length of line segment AB is 10 units. If there is no slack, the length of the line remains 10 units. However, if we introduce a 5% slack, the length of the line increases by 5% of 10 units, which is 0.5 units. Therefore, the length of curve DE would be 10 units + 0.5 units, which is 10.5 units.

So, having a 5% slack in the line means that the length of the line is 5% longer than it would be if it were completely straight. In the example we discussed, curve DE represents the line with a 5% slack, where it is 10.5 units long compared to line segment AB, which is 10 units long.

I hope this explanation helps you understand the concept of slack and how it affects the length of a line. Let me know if you have any further questions!

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