if X/4 = x+1/5, then x =​

Probability of getting two 4's is 1/36

Tess rolls 2 fair dice.

The possibilities of first die are 1, 2, 3, 4, 5 or 6.

Also the possibilities of second die are 1, 2, 3, 4, 5 or 6.

So, the number of possibilities is 36, when tess rolls 2 dice together.

Here, possibility of getting two 4's is 1 out of 36

∴ The probability of getting two 4's = 1/36

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Answer:

-0.6

Step-by-step explanation:

3/5 is 0.6 and the negative makes it -0.6.

Answer:

-0.6

Step-by-step explanation:

5x = 10

x = 2

2(2) + 2y = -2

4 + 2y = -2

2y = -6

y = -3

Answer:

0.497 < 1/2 < 0.55 < 3/5 < 6/7

Step-by-step explanation:

Order from Least to Greatest

1: Using the given inputs

2: Rewriting these inputs as decimals

3: Sorting this table by decimal values in order from least to greatest

4: Therefore, the sorted inputs in order from least to greatest is

Answer: 0.497 < 1/2 < 0.55 < 3/5 < 6/7

Hope this helps.

Answer:

The answer to this question can be defined as follows:

a)

cosine: 0.707

correlation: 0

Euclidean: 3.16

b)

cosine: 1

correlation: 1

Euclidean: 0

Jaccard: 1

c)

cosine: -0.4082

correlation: 0.5774

Euclidean: 2.64

d)

cosine: -0.333

correlation:  -0.3333

Jaccard: 0.5

e)

cosine: -0.7075

correlation: 0.2132

Step-by-step explanation:

a) cosine:

[tex]x \times y( 0 \times 2+ 0 \times 2 +1 \times 2+1 \times 2) = 4\\\\ x= \sqrt{2} = 1.414\\\\y= \sqrt(16)=4\\\\\cos (x\times y) = \frac{x\times y}{x\times y}\\\\\cos (x\times y) = \frac{4}{1.414\times 4}\\\\= 0.707[/tex]

correlation:

[tex]\ corr(x,y) =[\frac{covariance (x,y)}{standec(x) \times standdev(y)}]\\X \ mean = 0.5\\Y \ mean = 2\\covariance (x,y) = 0\\standdev(x) = 0.5774\\standdev(y) = 0\\corr(x,y) = 0[/tex]

Euclidean:

[tex]d(x,y) = \sqrt((0-2)^2+(0-2)^2+(1-2)^2+(1-2)^2)\\d(x,y) = 4+4+1+1\\d(x,y)= \sqrt(10)\\d(x,y)= 3.16\\[/tex]

by applying above formula we get all the values.

b)

cosine: 1

correlation: 1

Euclidean: 0

Jaccard: 1

c)

cosine: -0.4082

correlation: 0.5774

Euclidean: 2.64

d)

cosine: -0.333

correlation: -0.3333

Jaccard: 0.5

e)

cosine: -0.7075

correlation: 0.2132

Answer:

Correct answer is the 4th answer.

Step-by-step explanation:

By definition, a matrix is called diagonalizable if there exists some invertible matrix P and a diagonal matrix D such that AP = PD, which is equivalent to having A = PDP^-1.

We are not told that D is a diagonal matrix, hence, it could be any matrix. If A=PDP^-1 for some matrix D that is not diagonal, it doesn't imply that A is diagonalizable. Consider the following case: Let us take A a non diagonalizable matrix. Take D = A and P = identity matrix of size n. Then, this equation holds, but A is still not diagonalizable.

Answer:

ABC | Stock price

Q1 | $10.50

Q2 | $11.50

Q3 | $9.00

Q4 | $10.50

Step-by-step explanation:

Answer is 37 shares on AP3X

Answer:

1) If the manufacturer's assumptions are correct, it would reed to replace 0.621% of its batteries free

2) The company finds that it is replacing 1.07% of its batteries free of charge. It suspects that its assumption standard deviation of the life of its batteries is incorrect. A standard deviation of 6.084 results in a 1.07% replacement rate

3) Using the revised standard deviation for battery life, the percentage of the manufacturer's batteries that don't qualify for free replacement but do qualify for the prorated credit = 92%

Step-by-step explanation:

This is a normal distribution problem with

Mean = μ = 45 months

Standard deviation = σ = 5.6 months.

Batteries that fail within the first 31 months get a free replacement and batteries that fail after 31 months but within 54 months get a prorated credit toward the purchase of a new battery.

1) Percentage of batteries that'll qualify for a replacement are the batteries that fail within 31 months. That is, P(X ≤ 31)

To obtain this, we first normalize or standardize 31 months.

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (x - μ)/σ = (31 - 45)/5.6 = - 2.50

The required probability

P(X ≤ 31) = P(z ≤ -2.50)

We'll use data from the normal probability table for these probabilities

P(X ≤ 31) = P(z ≤ -2.50) = 0.00621 = 0.621%

2) The company finds that the percentage of free batteries replaced is actually 1.07%

P(X ≤ 31) = 1.07% = 0.0107

Let the z value of 31 months under this new normal distribution be z'

P(X ≤ 31) = P(z ≤ z') = 0.0107

From the normal distribution table,

z' = -2.301

z' = (x - μ)/σ

-2.301 = (31 - 45)/σ

σ = (-14) ÷ (-2.301) = 6.084 months

3) Using the revised standard deviation for battery life, what percentage of the manufacturer's batteries don't free replacement but do qualify for the prorated credit?

That is, P(31 < X ≤ 54)

We first normalize 31 and 54 using the revised standard deviation

For 31

z = (x - μ)/σ = (31 - 45)/6.084 = - 2.30

For 54

z = (x - μ)/σ = (54 - 45)/6.084 = 1.48

The required probability = P(31 < X ≤ 54)

= P(-2.30 < z ≤ 1.48)

Using the normal distribution tables

P(31 < X ≤ 54) = P(-2.30 < z ≤ 1.48)

= P(z ≤ 1.48) - P(z < -2.30)

= 0.93056 - 0.0107

= 0.91986 = 91.986% = 92% to nearest whole number.

Hope this Helps!!!!

Answer:

-3/4

Step-by-step explanation:

y2-y1/x2-x1

-17+2 divided by 24-4

-15/20

-3/4

Answer:

-3/4

Step-by-step explanation:

The slope of a line is given by

m = (y2-y1)/(x2-x1)

   = (-17- -2)/(24-4)

   = (-17+2)/(20)

    = -15/20

   =-3/4

Answer:

2/3

Step-by-step explanation:

1/4 ÷ 3/8 = 1/4 x 8/3 = 8/12 = 2/3

Answer:

2/3

Step-by-step explanation:

to divide make sure to use the reciprocal of the 3/8 which is

1/4*8/3

reduce the numbers with the greatest common factor divisor of 4

8/4=2 then 1*3 equals 3 which is 2/3

so it is  2/3

Answer:

  9/23

Step-by-step explanation:

Of the 23 students, 9 play both baseball and basketball. The probability of choosing one of those is 9/23.

___

Let A represent basketball, and B represent baseball. Then ...

  P(A or B) = P(A) +P(B) -P(A and B)

Since 8 students play neither sport, we have ...

  1 -8/23 = 11/23 +13/23 -P(A and B)

  15/23 = 24/23 -P(A and B)

  P(A and B) = (24 -15)/23

  P(A and B) = 9/23

Step-by-step explanation:

Fig rolls = 1.08

Half price = 1.08 ÷ 2 = 0.54

Total price = 1.08 + 0.54 = 1.62

Answer:

£8.52

Step-by-step explanation:

Fig rolls: £1.08+£1.08=£2.16

Crisps: £1.59+£1.59=£3.18 £3.18x2=£6.36

Total price= £2.16+£6.36=£8.52

In slope-intercept form, we can classify the following values.

m = slope

b = y-intercept

Turn the equation into slope-intercept form (y = mx + b).

3y + 2x = -21

~Subtract 2x to both sides

3y + 2x - 2x = -21 - 2x

~Simplify

3y = -21 - 2x

~Divide 3 to both sides

3y/3 = -21/3 - 2/3x

~Simplify

y = -7 - 2/3x

~Put into correct order

y = -2/3x - 7

So, the y-intercept is -7

Best of Luck!

Answer: -7

Step-by-step explanation: To identify the y-intercept of the line, we would first convert the equation to slope-intercept form.

In slope-intercept form or y = mx + b form, the y

is by itself on the left side of the equation.

So our first task in this problem is to get y by itself on the left side of the equation and we do that by first subtracting 2x from both sides to get 3y = -2x - 21.

Notice that I put the x term first on the right side of the equation and then the number because in y = mx + b form, the x term comes first on the right side of the equation.

Continuing on, to get y by itself we would

divide both sides by 3 to get y = -2/3x - 7.

Now our equation is written in slope-intercept form and

we can identity that the y-intercept of this line is -7.

Consider the matrix

[tex]A=\begin{bmatrix}0&1&0\\1&0&0\\0&0&1\end{bmatrix}[/tex]

Multiplying A by itself has the effect of swapping the first and second rows:

[tex]A^2=\begin{bmatrix}1&0&0\\0&1&0\\0&0&1\end{bmatrix}[/tex]

which is diagonal, while A itself is not.

Answer:

4 yd

Step-by-step explanation:

If l×w×h=v, then v÷l÷w=h

84÷7÷4=h

12÷3=h

h=4

The height of the prism is 4 yards.

Answer:

[tex]\Delta s_{T} = 4712.4\,m[/tex]

Step-by-step explanation:

(This exercise is written in Spanish and for this reason the response will be presented in such language).

La distancia recorrida por la mulita tras una vuelta es:

[tex]\Delta s = 2\pi\cdot (5\,m)[/tex]

[tex]\Delta s \approx 31.416\,m[/tex]

Ahora, la distancia recorrida total es directamente proporcional a la cantidad de vueltas invertidas. Este indicador se determina por regla de tres simple:

[tex]\Delta s_{T} = \frac{150}{1}\times (31.416\,m)[/tex]

[tex]\Delta s_{T} = 4712.4\,m[/tex]

Answer:

Two triangles are said to be similar if any two corresponding sets of angles are equal and the corresponding sides are in the same ratio.

Answer:

C. How tightly the molecules in a glass of water are packed together

Step-by-step explanation:

Volume of a substance is different according to the state of the matter.

So for a water molecule, the volume of the the water is definite and can be measured by the container which is the glass cup

So volume can be the measure of how tight the molecule of that substance ate together.

Answer:

63

Step-by-step explanation:

You simply just multiply the 7 and 9.

Answer:

Net price = $385.28

Step-by-step explanation:

Trade Discount - It is the discount given by buyer to seller, as a reduction in list price, when huge (bulk) orders transactions are made.

List price = 481.60

Trade Discount = 20%

So, Trade Discount = 20 / 100 (481.60) = 96.32

Net price = List price - Trade Discount = 481.60 - 96.32 = 385.28

Answer: Buying: fairly constant payment, will build equity, require maintenance cost.

Renting: not build equit, cost less, increasing payments

Step-by-step explanation:

The categories in which these buying and renting characteristics belong are:

Buying:

Renting:

When you buy property, you will have to pay for maintenance because you will own the property. You will however, build equity even though you will have to make fairly constant mortgage payments.

When you rent a house, the upfront cost will be less but you won't be able to build equity and there will be increasing payments as rent increases.

Find out more on renting property at https://brainly.com/question/26855888.

Answer:

(x−3)(x+8)

Step-by-step explanation:

Let's factor x2+5x−24

x2+5x−24

The middle number is 5 and the last number is -24.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 5

Multiply together to get -24

Can you think of the two numbers?

Try -3 and 8:

-3+8 = 5

-3*8 = -24

Fill in the blanks in

(x+_)(x+_)

with -3 and 8 to get...

(x-3)(x+8)

Answer:

(x−3)(x+8)

Hope this helps.

Answer:

[tex] y- y_o = m(x-x_o) [/tex]

For this case m represent the slope and is given by [tex]m= g'(4) = 2[/tex] and from the other condition given we know that [tex] x_o = 4, y_o =-3[/tex]. And replacing we got:

[tex] y -(-3) = 2 (x-4)[/tex]

And if we reorganize the terms we have:

[tex] y+3 = 2x -8[/tex]

And subtracting 3 in both sides we got:

[tex] y = 2x -11[/tex]

Step-by-step explanation:

For this case we have the following function y=g(x) and we want to find the tangent line to this function using the conditions: [tex] g(4) =-3, g'(4)=2[/tex]

So we need a function like this one:

[tex] y- y_o = m(x-x_o) [/tex]

For this case m represent the slope and is given by [tex]m= g'(4) = 2[/tex] and from the other condition given we know that [tex] x_o = 4, y_o =-3[/tex]. And replacing we got:

[tex] y -(-3)=2(x-4)[/tex]

And if we reorganize the terms we have:

[tex] y+3 = 2x -8[/tex]

And subtracting 3 in both sides we got:

[tex] y = 2x -11[/tex]

Answer:

252 inches squared

Step-by-step explanation:

(6 x 9) + (6 x 15) + (9 x 12) = 252

Answer:

hey

Step-by-step explanation:

Answer:

  (f -g)(2) = 14

Step-by-step explanation:

You can write the expression for the composite function as ...

  (f -g)(x) = f(x) -g(x) = (3x² +1) -(1 -x)

  (f -g)(x) = 3x² +x

Then for x = 2 ...

  (f -g)(2) = 3(2²) +2

  (f -g)(2) = 14

Answer:

  true

Step-by-step explanation:

We assume you intend your function to be ...

  [tex]F(x)=\log_{0.5}x[/tex]

A logarithm with a base less than 1 is a decreasing curve. Here, the base appears to be 0.5, a value less than 1. Hence the curve is decreasing.

Answer:

120 Blocks or letter C

Step-by-step explanation:

I did 8x5x3, because lxwxh so i got 120

Answer:

angle ABC and angle KLM

Step-by-step explanation:

Angle ABC equals to 35 degrees and KLM equals to 95 degrees. Their sum equals 135 degrees.

Answer:

The answer is B and C.

Step-by-step explanation:

When these 2 angles are added together, they form 130° :

∠ABC + ∠KLM = 35° + 95°

= 130°