We choose a 4-digit number randomly. What is the probability that all its digits are even? help asap
:D

Answer:

, a 11% markup on $27.00 results in a final price of $29.97.

Step-by-step explanation:

To find the 11% markup on $27.00, we need to first calculate 11% of $27.00, which is:

0.11 x $27.00 = $2.97

This means that the markup on $27.00 is $2.97.

To find the final price with the markup included, we need to add the markup to the original price:

$27.00 + $2.97 = $29.97

Therefore, a 11% markup on $27.00 results in a final price of $29.97.

The figure shown can be divided into three rectangles , the two yellow ones and the blue one.

As the width of the yellow triangles is 1 unit and the length of the entire shape is 8 units , it can be calculated that the length of the blue triangle is 6 units ( as shown in second picture )

\(\therefore \: area \: of \: figure \: = \: area \: of \: two \: yellow \: triangles \: \times area \: of \: blue \: triangle\)

\(area \: of \: figure \: = 2( \: l \times b \: ) + ( \: l' \times b' \: ) \\ \dashrightarrow \: area \: = 2(5 \times 1) + (6 \times 1) \\ \dashrightarrow \: area = 10 + 6 \\ \dashrightarrow \: \boxed{area \: = 16 \: {units}^{2} }\)

hope helpful! :)

Answer:

Expanding the expression 2(d+9) gives:

2(d+9) = 2*d + 2*9

Simplifying the expression gives:

2(d+9) =2d + 18

Therefore, 2(d+9) is equivalent to 2d +18.

The simplified expression is:

Work:

To simplify this expression, I distribute 2 through the parenthesis:

\(\sf{2(d+9)}\)

\(\sf{2\cdot d + 2 \cdot9}\)

\(\sf{2d+18}\)

The geometric definitions are given below:

\(\vec{i}\times \vec{j} = \vec{k}\vec{j}\times \vec{k} = \vec{i}\vec{k}\times \vec{i} = \vec{j}$Let $\vec{a}$ and $\vec{b}$ be two vectors.$\vec{a}\times \vec{b} = -\vec{b}\times \vec{a}$ \& $ \vec{a}\times \vec{a} = 0\)

A. \(((\vec{j}+\vec{k})\times \vec{j})\times \vec{k} = (\vec{j}\times \vec{j} + \vec{k}\times \vec{j}) \times \vec{k} = (0 - \vec{i})\times \vec{k} = -\vec{i}\times \vec{k} = \vec{j}\)

B. \((\vec{i} + \vec{j})\times(\vec{i}\times \vec{j}) = (\vec{i} + \vec{j})\times \vec{k} = \vec{i}\times \vec{k} + \vec{j}\times \vec{k} = -\vec{j} + \vec{i}\)

C. \(4\vec{k}\times(\vec{i}+ \vec{j}) = 4\vec{k}\times\vec{k}+4\vec{k}\times\vec{j} = 0 - 4\vec{i} = - 4\vec{i}\)

D. \((\vec{i}+\vec{j})\times(\vec{i}-\vec{j}) = \vec{i}\times \vec{i} - \vec{i}\times \vec{j} + \vec{j}\times \vec{i} - \vec{j}\times \vec{j} = 0 -\vec{k} -\vec{k}+0=2\vec{k}\)

In three dimensions, the cross product is a binary operation on two vectors. A vector that is perpendicular to both vectors is produced as a result. A B stands for the vector product of two vectors, a and b.

The resulting vector is parallel to both a and b. Cross goods are another name for vector products.

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Answer:

2.5th percentile and the 97.5th percentile.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1-0.95}{2} = 0.025\)

So we obtain the 0.025*100 = 2.5th percentile and the (1-0.025)*100 = 97.5th percentile.

So the answer is:

2.5th percentile and the 97.5th percentile.

Answer:

\( - 2 {x}^{9} \)

Answer:

\(\frac{4}{5}\) or 0.8

Step-by-step explanation:

The question is asking what number multiplied by \(\frac{5}{6}\) equals \(\frac{2}{3}\). In equation form, this would be x ·

To find x, you would do \(\frac{2}{3}\) ÷ \(\frac{5}{6}\). When dividing fractions, you would use the keep-change-flip method. The first fraction stays the same, the sign flips from division to multiplication, and the numerator and denominator switch in the second fraction. Finally, multiply the fractions to find the answer.

Below is the explanation in step form.

1. \(\frac{2}{3}\) ÷ \(\frac{5}{6}\)

2. \(\frac{2}{3}\) · \(\frac{6}{5}\)

3. \(\frac{2}{1}\) · \(\frac{2}{5}\)  (You can cancel out the 3 and the 6.)

3. \(\frac{12}{15}\) (You can also multiply and simplify.)

4. Answer = \(\frac{4}{5}\)

Answer: 4.1 is the answer.

Answer:

4.1

Step-by-step explanation:

When rounding up decimals, if it is 5 or greater than 5, add 1 to the left decimal and if it is less than 5, leave the left decimal as it is.

In 4.06, the decimal digit 6 is greater than 5 so we add 1 to the left decimal digit which is 0 and 4.06 becomes 4.1

Answer: 24 problems done before dinner

Step-by-step explanation:

Take the 32 total math problems and divide it by 3/4 (the amount of problems done before dinner) getting you 24 problems done before dinner

Answer:

c. there is a positive correlation in-between x and y

Step-by-step explanation:

A regression line is a line that suggests that all the points in a scatter diagram lie on or near one particular line. In a simple regression analysis in which y is the dependent variable and x is the independent variable. If the slope is positive, the bivariate data is also said to have a positive correlation. The positive correlation in-between two variables x and y implies that in general, an increase in x goes hand in hand with an increase in y.

Regression Analysis is defined as the set of statistical and reliable processes for establishing the relationship between the independent and dependent variables.

The correct statement can be given as:

In a simple regression analysis (where y is a dependent and x an independent variable), if the slope is positive, then it must be true that there is a positive correlation between x and y.

The regression line suggests that all the points lie near a particular line. It can be explained as:

1. In a simple regression analysis, the dependent variable is y.

2. Similarly, the independent variable is x.

3. Given, if the slope is positive, then the correlation will be positive.

4. The positive relation implies that if x increases then they will also increase in simple regression analysis.

Thus, in the simple regression analysis there exists a positive correlation between x and y.

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Items in A and C, but not B is the required region.

Sets are groups of well-defined objects or components in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set.

Given:

A ∩ B' ∩ C

That means,

A intersection not B intersection C.

B' is the complement of set B.

So, the region is,

Items in A and C, but not B.

Therefore, the items in A and C but not in B.

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Given

Function g(x)

Find

Graph the function

Explanation

as we have given

for

where [ ] indicates closed interval

( ) indicates open interval

Final Answer

the graph of the function

Answer:

i am not to sure but you should go to gradecam

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

subtracting form a negative will result in a negative number

Answer:

c)-4

Step-by-step explanation:

-1 minis 3 is 3 less that -1

Answer:

  32 degrees

Step-by-step explanation:

You want the smallest angle of a triangle in which the other two angles are 20 degrees larger than the smallest, and 3 times the smallest.

The sum of angles is 180 degrees. The three angles are x, (x+20), and (3x). Their sum is ...

  x +(x +20) +3x = 180

Collecting terms gives ...

  5x +20 = 180

  5x = 160 . . . . . . subtract 20

  x = 32 . . . . . . divide by 5

The smallest angle is 32 degrees.

Answer:

27

Step-by-step explanation:

x-y

We are subtracting and we want the smallest number

We want the smallest number for x and the largest number for y

The smallest number for x is 71

The largest number for y is 44

71-44

27

Answer:   76.67%

Step-by-step explanation:

The volume of the given figure is 1176 cubic cm.

The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).

The volume of the figure is calculated as,

Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )

Volume = 1176 Cubic cm

Hence, the volume of the figure will be equal to 1176 Cubic cm.

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Answer:

-5/4 or -1 1/4

Step-by-step explanation:

Okay! We'll take this problem one part at a time so that the process is less confusing and less difficult. Here's what our expression looks like when we replace x with 3/2 and y with -5/4:

\(4(-\frac{5}{4} )(\frac{3}{2} +-\frac{5}{4} )\)

Looks a little scary! We can start by working within the parentheses and adding the two fractions together. First, we have to make each fraction have the same denominator, so we can multiply each fraction by 3/2 to get both our fractions a denominator of 4.

\(\frac{3}{2} *\frac{2}{2} =\frac{6}{4}\)

\(\frac{6}{4} + -\frac{5}{4} =\frac{1}{4}\)

Now, our expression is a little easier to work with. It looks like this now:

\(4(-\frac{5}{4} )(\frac{1}{4})\)

First, let's multiply 4 by -5/4. Then, we'll take that product and multiply it by 1/4 to get our final answer.

\(\frac{4}{1} * -\frac{5}{4} =-\frac{20}{4} =-5\)

Alright, this is our simplest expression yet. What's -5 times 1/4?

\(-\frac{5}{1} * \frac{1}{4} =-\frac{5}{4}=-1\frac{1}{4}\)

So our answer is -5/4, or -1 1/4. Hopefully that's helpful! :)

(b) The probability that the call is not for medical assistance = 0.37

(c) The probability that two successive calls will both be for medical assistance = 0.3969

(d) The probability that the first is for medical assistance and the second is not for medical assistance = 0.2331

(e) The probability that exactly one of the next two calls is going to be for medical assistance = 0.4662

The probability of an event is the proportion of favourable outcomes to all other possible outcomes. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability:

Probability (Event) = Positive Results/Total Results

                                 = x/n

Given P (call for medical assistance) = 0.63

This means that out of all incoming calls to the fire station, the probability that the call is for medical assistance is 0.63 or 63%. The complement of this event, which is the probability that an incoming call is NOT for medical assistance, is:

P (Not Medical Assistance) = 1 - P (Medical Assistance)

                                            = 1 - 0.63

                                            = 0.37

Now, assuming that successive calls are independent of one another, the probability that two successive calls will both be for medical assistance will be:

P (2 calls for medical assistance)

= 0.63 × 0.63

= 0.3969

The probability that the first is for medical assistance and the second is not for medical assistance will be:

P (1st for medical assistance × 2nd for not medical assistance)

= 0.63 × 0.37

= 0.2331

The probability that exactly one of the next two calls is going to be for medical assistance will be:

P (Exactly 1 call for medical assistance)

= (0.63×0.37) + (0.63×0.37)

= 0.2331 + 0.2331

= 0.4662

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Answer:

3x-8x+20, multiplying-4 to (2x-5)

-5x+20, as 3-8=-5

True.

Answer:

the third option

Step-by-step explanation:

by shifting it up 3, you just add 3 to -7 which is -4

by shrinking it a factor of 1/2, you multiply -2 by 1/2 which is -1

the expression will be of variable n and 3 is the multiplicity.

What is polynomials?

Using variables and coefficients, polynomials are algebraic expressions. The term "indeterminates" is sometimes used to describe variables. The terms Poly and Nominal, which together signify "many" and "terms," make up the word polynomial. When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable). The expression is categorized as a monomial, binomial, or trinomial based on the number of terms it contains.

the description of this expression

3(n9)

the variable will be n.

The bracket tells that the number multiply that to 3.

Hence, the expression will be of variable n and 3 is the multiplicity.

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29/2 ÷ 5/4

2/29 × 5/4

To get your answer its just a matter of understanding the question, they are asking you to find how many 1¼ gallons of water can fit in a tank that can hold 14½ gallons of water so, to find the answer we need to divide 14½ by 1¼ ( these fractions are mixed numbers so, you need to change them into improper fraction)

Now when dividing the fractions you always invert the fraction on the left side and the division sign turns into a multiplication sign...

29/2÷5/4 = 2/29×5/4.

The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.

Mutually exclusive events are events that cannot occur at the same time, or that do not have any overlap. In the case of flipping a coin, the possibility of getting a head and the possibility of getting tails are independent of each other, and both can occur simultaneously. Therefore, the chance that you will get heads or tails when you flip a coin once is not mutually exclusive.

On the other hand, the other events listed (B, C, and D) are mutually exclusive. The chance that you will only study for the test alone or with a friend cannot occur simultaneously, as you can either study alone or with a friend, but not both. Similarly, the chance that you will meet your friends for pizza or at a Chinese restaurant for dinner today at 6 cannot occur at the same time, as you can either go to the pizza place or the Chinese restaurant, but not both. And the chance that you will answer the ringing phone or take a walk cannot occur simultaneously, as you can either answer the phone or take a walk, but not both.

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The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.

this question is related to probability.

mutually exclusive

Mutually exclusive events are those events that do not occur at the same time.

For example, when a coin is tossed then the result will be either head or tail, but we cannot get both the results. Such events are also called disjoint events since they do not happen simultaneously.

probability

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

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The perimeter of the triangle OQR is 68 cm

From the question, we have the following parameters that can be used in our computation:

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following values of radii

Radii = 8 cm, 11 cm and 15 cm

The perimeter of the triangle OQR is calculated as

Perimeter = Twice the sum of the radii

Substitute the known values in the above equation, so, we have the following representation

Perimeter = 2 *(8 + 11 + 15)

Evaluate the sum

Perimeter = 2 * 34

Evaluate the products

Perimeter = 68

Hence, the perimeter is 68 cm

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a)The value of  ∠b=64°.

b)The values of angles q, r, s, t are ∠q= 65°, ∠r=65°, ∠s=50°, ∠t=65°.

c)The value of  ∠B=72 degrees.

The same-side interior angles are additional if a transversal connects two parallel lines. Alternate interior angles are equivalent if a transversal connects two parallel lines. Corresponding angles are equal.

a) Given line PQ is parallel to ST.

   One of the theorems of parallel lines is, Corresponding angles are equal.

Here the corresponding angles are ∠a, ∠b.

so, ∠a=∠b

∴∠b=64°

b) It is given that lines B and C are parallel, according to one of the theorems of parallel lines, vertically opposite angles are equal. So, the angle opposite to 65° is also equal to 65°. Sum of the angles suspended by a line on another line is 180°. Therefore the other angle in the triangle is 180°-130°=50°.

Since the sum of interior angles in a triangle is 180°, the angle q will be:

   ∠q= 180°-(65°+50°)

    ∠q= 65°.

Vertically opposite angles are equal, therefore ∠q=∠r=65°.

∠s=180°-(65°+65°)

∠s=50°.

Corresponding angles are equal, therefore

130°=65°+∠t

∠t=65°.

c) Given lines A, and B are parallel. We know that the Corresponding angles are equal, therefore

3m=4m-24

⇒m=24

Therefore ∠B=4(24)-24

∠B=72 degrees.

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Jane has 6 - 14 - 12 = -20 boxes of beads left.

Jane initially had 6 boxes of beads.

She used 14 of those boxes to make face mask holders and gave 12 boxes to her sister.

To find out how many boxes of beads she has left, we need to subtract the boxes used and given away from the initial number.

First, let's calculate the total number of boxes used and given away:

Total boxes used and given away = Boxes used for face mask holders + Boxes given to sister

Total boxes used and given away = 14 + 12

Total boxes used and given away = 26

Next, we can subtract the total boxes used and given away from the initial number of boxes Jane had:

Boxes left = Initial number of boxes - Total boxes used and given away

Boxes left = 6 - 26

Boxes left = -20

The result is -20, which implies that Jane has a deficit of 20 boxes of beads.

This means she doesn't have any boxes of beads left; she has a shortage of 20 boxes based on the activities she performed.

It's important to note that having a negative value indicates that Jane doesn't have enough boxes to fulfill her activities.

If the result were positive, it would represent the number of boxes remaining.

However, in this case, Jane has used and given away more boxes than she initially had, resulting in a negative value.

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Answer:

4

a. 12

b. 8

c. 30

d. 40

Step-by-step explanation:

each exterior = 360/n

30*n=360

divide both side by 30

Answer is 12

The same apply to others to 4d

so first its 4

a. 12

b. 8

c. 30

d. 40

i will try to explain:

each exterior = 360/n

30*n=360

divide both side by 30

Answer is 12

The same apply to others to 4d

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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