Simplify

45 - (31 - 9)

The angles ∠YWZ and ∠XWY are 36° and 144° respectively.

To learn more about angles, visit :

https://brainly.com/question/13954458

#SPJ9

The discount rate, as a percent is 20%

The given parameters are:

Cost of 1 T-shirt = $15.97

Also, we have

4 purchases gives 1 free item

So, the discount rate is

Discount = 1/(1 + 4) * 100%

Evaluate the sum

Discount = 1/5 * 100%

Evaluate the product

Discount = 20%

Hence, the discount rate, as a percent is 20%

Read more about discount rate at

https://brainly.com/question/7459025

#SPJ1

Answer:

27-7=4d+6d

20=10d

d=20/10

therefore; d=2

The minimum will be $ 0. If the theft occurs , company will have to pay the claim. Hence Option B will be correct.

What is probability and example?

The variety of strategies for success. the total number of outcomes that could occur. For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.

$ 0 and $ 200

This is because both the insured will pay $ 100 premium each , hence total revenue of company can be $ 200 maximum.

The minimum will be $ 0. If the theft occurs , company will have to pay the claim. Hence Option B will be correct.

Learn more about probability

brainly.com/question/11234923

#SPJ4

The cube root of 27 is 3√t=3, which indicates that 3√t.

Cube root, or the cube root of a number, is simply the square root of that number. It can be used in various mathematical contexts to simplify complicated calculations. For example, when dealing with complex fractions and rational numbers (numbers that have a decimal point), the cube root can be used to solve problems more quickly and accurately.

We are aware that 5×5×5×5 Equals 125. Therefore, 125 is known as the cube of 5. Finding a number's cube root, on the other hand, entails doing the cube operation in reverse and is symbolised by the symbol.

A number x's cube roots are the integers y that answer the equation.

3√t is the cube root of 27,so 3√t=3 .

3√3

3×3×3=27

Hence the correct answer Is option (b) 3√t is the cube root of 27,so 3√t=3 .

To learn more about cube roots here:

https://brainly.com/question/12726345

#SPJ9

The total number of blocks is 659.

Given that there is 9 in one's place of the total number of blocks. It is also given that the number in the hundreds place is 1 more than the number in the tens place.

If we assume x as the number on hundreds place and y as the number on tens place, then according to the question:

x=y+1                                                                                                          ......(1)

Also, the sum of hundreds and tens place numbers is 11.

x+y=11                                                                                                       ......(2)

substitute the value of x from equation (1) in equation (2)

y+1+y=11

=>2y=10

=>y=5

Now substitute the value of y in equation (1);

x=5+1

x=6

Therefore, number on the hundreds place is 6 and on the tens place is 5 and the total number is 659.

Learn more about Numbers at:

brainly.com/question/580070

#SPJ4

Answer:

32ft

Step-by-step explanation:

Answer:

3.73

Step-by-step explanation:

The hundredths place is two places to the right of the decimal so the number doesn't need to change.

It will take 4 hours for both companies to equal the same price and it will cost $ 90 at that time.

There are two companies:

Company A-
It charges $ 50 to come and $ 10 per hour to work.

Let the number of hours worked be x

The equation will be:

Price of Company A = 50 + 10 x   …(1)

Company B-

It charges $ 30 to come and $ 15 per hour to work.

The equation will be:

Price of Company B = 30 + 15 x    …(2)

Now, for the same prices, we will equate (1) with (2):

50 + 10 x = 30 + 15 x

15 x - 10 x = 50 - 30

5 x = 20

x = 20 / 5

x = 4

At x = 4, price of the companies will be:

A = 50 + 10 (4) = 50 + 40

A = $ 90

B = 30 + 15(4)

B = 30 + 60

B = $ 90.

Therefore, it will take 4 hours for both companies to equal the same price and it will cost $ 90 at that time.

Learn more about equation here:

https://brainly.com/question/1214333

#SPJ9

Answer:

y≤-1

Step-by-step explanation:

Subtract 9 from both sides

4-9 = -5

Divide the remainding by 5

-5 / 5 = -1

The values of the exponential expressions are follows;

3. [tex] {x}^{m \times n} [/tex]

4. [tex] {\frac{1}{4} }^{16} [/tex]

5. [tex] {( - 3)}^{5} [/tex]

6. [tex] 5.3 \cdot {( - 4)}^{11}[/tex]

7. [tex] {(2.9)}^{10} [/tex]

The given expression that can be used to show the Power of a Power Exponent law are as follows;

3. The Power of a Power Exponent law states that;

[tex] {( {x})^{m} }^{n} = {x}^{m \times n} [/tex]

4. The given expression is presented as follows;

[tex] { ({( \frac{1}{4} )}^{2} )}^{8} ={\frac{1}{4} }^{2 \times 8} = {\frac{1}{4} }^{16} [/tex]

5. [tex] {( - 3)}^{4} \times - 3 = {( - 3)}^{4 + 1} = {( - 3)}^{5} [/tex]

6. [tex]5.3 \cdot {( - 4)}^{11} = 5.3 \cdot {( - 4)}^{11}[/tex]

7. [tex] {(2.9)}^{2} \cdot {(2.9)}^{5} \cdot {(2.9)}^{3} = {(2.9)}^{2+5+3} [/tex]

[tex] {(2.9)}^{2+5+3}={(2.9)}^{10} [/tex]

Therefore;

[tex] {(2.9)}^{2} \cdot {(2.9)}^{5} \cdot {(2.9)}^{3} = {(2.9)}^{10} [/tex]

Learn more about the power of a power exponent law here:

https://brainly.com/question/1860263

#SPJ1

We can be 99% certain the baseball game will end by 5.22pm.

A cut-off Number is a number mentioned in the applicable Final Terms as such, or if no number is provided, the Specific Number is presumed to be five.

In binary classification, the threshold or cut-off represents the chance that the prediction is correct. It represents the cost of false positives or false negatives.

Let the cutoff be A.

so,

P(X ≤ A) = 0.99

[tex]P\left(\frac{X-\mu}{\sigma} \leq \frac{a-2.5}{0.37}\right)=0.99[/tex]

[tex]P\left(Z \leq \frac{a-2.5}{0.37}\right)=0.99[/tex]

[tex]\Phi\left(\frac{a-2.5}{0.37}\right)=\Phi(2.33)\\[/tex]

(a - 2.5)/.37 = 2.33

a = 3.3621

a = 3hours and (0.3621 * 60) = 22 minutes

We can be 99% certain the baseball game will end by 5.22pm.

To know more cut-off probability visit:

https://brainly.com/question/13800349

#SPJ4

I understand that the question you are looking for is:

The probability that the baseball game will cut into the program is 0.0885.

Can you provide a cut-off time by which you can be 99% sure that the baseball game would end?

The measure of the missing angles are d= 77° , e= 31° ,and f = 72°.

As given in the question,

Angle e is vertically opposite to the given angle 31°

⇒Measure of angle e = 31°

Angle d is vertically opposite to the given angle 77°

⇒Measure of angle d = 77°

Angle e , Angle f and angle d are linear pairs

⇒∠e +∠f +∠d =180°

⇒31° +∠f + 77°=180°

⇒ ∠f =180° -108°

⇒ ∠f =72°

Therefore, the measure of the missing angles are d = 77° , e = 31° and

f = 72°.

Learn more about angles here

brainly.com/question/28451077

#SPJ1

According to the question, let us consider the random variable for the discrete uniform distribution to be x.

What is the discrete uniform distribution?

Uniform distribution is another name for the rectangular distribution. And it is the family of the symmetric probability distribution. It has constant probability and the outcomes are equal in nature.

The standard formula for the mean and the variance of the distribution in terms of the lower bounds(L) and the upper bounds(U) is as follows:

Mean = (L+U)/2 ;

Variance = (L+U)/12

The value of the lower bound(L) is 1000 and the upper bound(U) is 1500.

The calculation is as follows:

Mean = (1000+1500)/2 = 1250

Variance =  (1000+1500)/12 = 208.3

Therefore, the values are: mean = 1250 and variance = 208.3

To learn more about the mean and variance of the distribution from the given link:

https://brainly.in/question/1842304

#SPJ4

All statements are true, but if you try to reverse them they won't necessarily be true.

let us start

Square ⇒ Has 4 sides

But if something has 4 sides it doesn't mean it's a square (example: rectangle)

Angle is 80° ⇒ acute angle

But acute angle is any angle below 90°, not just 80° so the reverse isn't true.

x – 17 = 4 ⇒ x = 21

And if we reverse

x = 21 ⇒ x – 17 = 4

we see that it's true for either direction.

x = 7 ⇒ |x| = 7

But |x| = 7 doesn't mean that x has to be 7, x can also be -7, so the reverse isn't true.

learn more about of converse here

https://brainly.com/question/1468445

#

SPJ9

If a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function is "false" statement.

A matrix function can be defined in a variety of ways (or matrix-valued function). One manner is in which the function takes the shape of a matrix, rather than numbers, the matrix contains functions. A(t), for example, is a 2 x 2 matrix function.

Some key features regarding the matrix function are-

To know more about  complex plane, here

https://brainly.com/question/26125074

#SPJ4

The complete question is-

If a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function. (True/False)

Answer: y=-1.5x-1

Step-by-step explanation:

A(-8,-2)   B(4,6)    C(x,y) - the midpoint of the line

1. Calculate the coordinates of the midpoint of the segment using the formula:

[tex]\displaystyle\\C(x,y)=(\frac{x_A+x_B}{2} ,\frac{y_A+y_B}{2})\\\\ C(x,y)=(\frac{-8+4}{2},\frac{-2+6}{2})\\\\ C(x,y)=(\frac{-4}{2} ,\frac{4}{2})\\ C(x,y)=(-2,2)\\Thus,\ C(-2,2)[/tex]

2. Find the slope of the line AB using the formula:

[tex]\displaystyle\\The\ slope=\frac{y_B-y_A}{x_B-x_A} \\\\The\ slope=\frac{6-(-2)}{4-(-8)} \\\\The\ slope=\frac{6+2}{4+8} \\\\The\ slope=\frac{8}{12} \\\\The\ slope=\frac{2}{3}[/tex]

3. Find the slope of the line perpendicular to the line AB:

[tex]\displaystyle\\The \ \perp slope=-\frac{1}{the\ slope} \\\\The \ \perp slope=-\frac{1}{\frac{2}{3} } \\\\The \ \perp slope=-\frac{3}{2}[/tex]

4. Find an equation for the perpendicular bisector of the line segment:

[tex]\displaystyle\\The \perp\ slope=\frac{y-y_C}{x-x_C} \\\\-\frac{3}{2}=\frac{y-2}{x-(-2)} \\-\frac{3}{2} =\frac{y-2}{x+2} \\[/tex]

Multiply both parts of the equation by (x+2):

[tex]\displaystyle\\y-2=(-\frac{3}{2} )(x+2)\\\\y-2=-\frac{3}{2}x+(-\frac{3}{2})(2)} \\\\y-2=-\frac{3}{2}x-3 \\\\y-2+2=-\frac{3}{2}x-3+2\\\\ y=-\frac{3}{2}x-1\\\\ y=-1.5x-1[/tex]

Answer:

y=-5x-7

Step-by-step explanation:

For lines to be parallel with one another, that means they have to have the same slope. The slope of this equation is -5

From there we have to find the b (or the y-intercept) of the new equation. To do this we plug in the slope and the x and y from the given point (-2,3) into the equation y=mx+b and solve for b:

3=-5(-2)+b

3=10+b

-7=b

Finally, we make a new equation with the b (-7) and slope (-5):

y=-5x-7

DON'T READ IF YOU DON'T WANT TO/ALREADY KNOW HOW TO DO THIS FOR A LINE PERPENDICULAR TO THE GIVEN LINE:

To find a line perpendicular to (y=-5x+1), you do everything the same as before but instead of using -5 as the slope for your new equation (including the one you use for solving for the new b) you use it's negative reciprocal. That basically means you switch the numbers numerator and denominator and switch the sign. Remember, every whole number has a denominator of 1, so it'll look like this:

-5/1 turns into 1/5

Then you use 1/5 as the slope for the new equation by plugging in the x and y of the given point and solving for b like we did before. Finally you take the 1/5 as the slope and the b you solved for and put those into a equation like you did before and bam.

If you're confused after reading that then forget everything I said.

hope this helps :D

The coordinates of the given points are:

Refer to the diagram to know the coordinates of the given points.

Therefore, the coordinates of the given points are:

Know more about graphs here:

https://brainly.com/question/19040584

#SPJ9

The probability that a randomly selected point of the diagram lies within the circular region as requested in the task content is; π/4.

It follows from the task content that the probability that a randomly selected point of the diagram lies within the circular region is to determined.

This probability in discuss is equal to the ratio of the area of the circle to the area of the rectangle.

Consequently, the area of the circle is equal to;

πr².

However, since the side length of the square, which is the diameter of the circle is; 2r; it follows that it's area is;

2r × 2r = 4r².

Therefore, the probability is; πr²/4r².

When expressed in its simplest exact form, we have;

π/4.

Therefore, The probability that a randomly selected point of the diagram lies within the circular region as requested in the task content is; π/4.

Read more on probability;

https://brainly.com/question/13604758

#SPJ1

Cutting a cake into 8 pieces is a chemical change.

Now,

When the cake is cut, the pieces cannot be joined again and form a cake.

Hence, Cutting a cake into 8 pieces is a chemical change.

To learn more about physical and chemical changes, refer to the link: https://brainly.com/question/17384175

#SPJ4

14 left handed people would you expect in a group of 140 people .

According to the question, 3 people are left handed out of every 30 people.

We can solve this using unitary method ,

14 left handed people would you expect in a group of 140 people.

Another method:

Based on the given conditions, formulate : 140 * 3 / 30

Reduce the fraction : 14

get the result 14

Answer 14

To know more about Approximately statistics method:

https://brainly.com/question/26920960

#SPJ4

The measure of angle COD will be 85° and it will be an acute angle.

If an angles is less than 90°, it is known as an acute angle. If it is more than 90°, it will be an obtuse angle. And if it is equal to 90, then it is called a right angle.  

Here, we are given a a figure and we need to find the measure of ∠COD.

∠COD can be written as ∠AOB - ∠AOC - ∠DOB

Here, ∠AOB = 180° (straight line)

∠AOC = 30°

and ∠DOB = 65°

Thus, ∠COD = 180 - 30 - 65

∠COD = 180 - 95

∠COD = 85°

As ∠COD is less than 90°, it will be an acute angle.

Learn more about angles here-

https://brainly.in/question/151826

#SPJ9

Answer:− 9/56

​

Step-by-step explanation: hope this helps you!!!!

Answer:

Step-by-step explanation:

[tex]\displaystyle\\ax+by=c\\\\by=c-ax\\\\\frac{by}{b}=\frac{c-ax}{b} \\\\y=\frac{c-ax}{b}[/tex]

Answer: Basically, bottom is first. The top is second, and the middle one is last.

Step-by-step explanation:

1. Super Duper Easy, first, subtract ax, making it by = c - ax

2. Then, divide b , so by/b = c/b - ax/b

3. Becoming y = c/b - ax/b

The runner has to run more 8.808 km to finish the race.

So, the runner ran 1.192 km out of 10 km.

Then, the remaining distance:

Therefore, the runner has to run more 8.808 km to finish the race.

Know more about mathematical operations here:

https://brainly.com/question/20628271

#SPJ1

The solutions for the expressions are given as follows:

6. y = 12.

7. w = -20.

8. x = 30.

The expression is given by:

4/3y = 16.

Applying cross multiplication:

4y = 48

y = 48/4

y = 12.

The expression is given by:

w/(-2.5) = 8

Applying cross multiplication:

w = -2.5 x 8

w = -20.

The expression is given by:

(1/5)x - 2 = 4.

Isolating x:

(1/5)x = 6.

Applying cross multiplication:

x = 6 x 5

x = 30.

More can be learned about expressions at https://brainly.com/question/26676095

#SPJ1