here is the question.​

The requried, probability that both the first digit in the last digit of the three-digit number is even numbers is 20%.

To count the number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9, we can use the permutation formula:

P(n, r) = n! / (n-r)!

In this case, we have n = 6 (since we have 6 digits to choose from) and r = 3 (since we want to form three-digit numbers). Using the formula, we get:

P(6, 3) = 120

We can choose the first digit in two ways (2 or 8), and we can choose the last digit in three ways (2, 8, or 6). For the middle digit, we have four digits left to choose from (1, 3, 5, or 9), since we cannot repeat digits. Therefore, the number of three-digit numbers with distinct digits that have an even first and last digit is:

2 x 4 x 3 = 24

The total number of three-digit numbers with distinct digits is 120, so the probability that a randomly chosen three-digit number with distinct digits has an even first and last digit is:

24/120 = 0.2 or 20%

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Answer:

57

Step-by-step explanation:

Answer: 57

Step-by-step explanation:

1. Calculate what's in the parentheses first

(4 * 15) = 60

(60) - 3 = ?

2. Exponents (Powers, Roots) before you Multiply, Divide, Add or Subtract

Not applicable for this problem.

3. Multiply or Divide before you Add or Subtract

Not applicable for this problem.

4. For anything else left, just go from left to right

60 - 3 = 57

If you want to remember the shortcut; PEMDAS

P  - Parentheses first

E  - Exponents (Powers and Square Roots, etc.)

MD  - Multiplication and Division (left-to-right)

AS  - Addition and Subtraction (left-to-right)

Remember that:

Divide and Multiply rank equally (and go left to right).

Add and Subtract rank equally (and go left to right)

Answer:

x= 6/7 or x = −10/7

Step-by-step explanation:

Let's solve your equation step-by-step.

4(|7x+2|)=32

Step 1: Divide both sides by 4.

4(|7x+2|)/4 =32/4

|7x+2|=8

Step 2: Solve Absolute Value.

|7x+2|=8

We know either 7x+2=8 or 7x+2=−8

7x+2=8 (Possibility 1)

7x+2−2=8−2 (Subtract 2 from both sides)

7x/7 = 6/7

(Divide both sides by 7)

7x/7= 6/7

x= 6/7

7x+2=−8 (Possibility 2)

7x+2−2=−8−2 (Subtract 2 from both sides)

7x/7 = −10/7

(Divide both sides by 7)

x= −10/7

Answer:

x= 6/7 or x = −10/7

Answer:

10

Step-by-step explantion

Simplifying

2x + 3 + 25 = 3x + -17

Reorder the terms:

3 + 25 + 2x = 3x + -17

Combine like terms: 3 + 25 = 28

28 + 2x = 3x + -17

Reorder the terms:

28 + 2x = -17 + 3x

Solving

28 + 2x = -17 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

28 + 2x + -3x = -17 + 3x + -3x

Combine like terms: 2x + -3x = -1x

28 + -1x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0

28 + -1x = -17 + 0

28 + -1x = -17

Add '-28' to each side of the equation.

28 + -28 + -1x = -17 + -28

Combine like terms: 28 + -28 = 0

0 + -1x = -17 + -28

-1x = -17 + -28

Combine like terms: -17 + -28 = -45

-1x = -45

Divide each side by '-1'.

x = 45

Simplifying

x = 45

Answer:

Step-by-step explanation:

Exterior angle is same as sum of two remote interior angles:

Based on the information given, it can be deduced that the markup of the birdhouse is 150%.

From the question given, it was stated that Max's Woodworking $16 to build each birdhouse and that he sold the birdhouses for $40.

Therefore, the markup percentage will be:

= (40 - 16)/16 × 100

= 24/16 × 100

= 150%

Therefore, the markup is 150%.

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Answer

Step-by-step explanation:

i dont know child

the way you have laid this question out is strange but im assuming you want me to find the mean, range, medium and mode of the numbers provided?

median=order them and find the middle= 6

mean=add them all up and divide by the amount of numbers=(6+13+7+9+5+3+2+5+4+10+12)/11=6.9

range= the difference between the smallest and largest number=13-2=11

mode= the one that appears the most= 5

Answer:

10 square inches

Step-by-step explanation:

cost of a plain t-shirt = $10

cost of 1 square inch of design addition = $1.50

let there be x square inches of design

then cost of x square inches of design = x*cost of 1 square inch of design

                                                                 = 1.50*x = 1.5x

Total cost for t-shirt with x square inches of design = cost of a plain t-shirt + cost of x square inches of design   = 10 + 1.5 x

It is given that Makeeya has only $25, then total cost which can be afforded by him will be $25 only

Thus,

10 + 1.5 x = 25

=> 1.5x = 25-10 = 15

=> x = 15/1.5 = 10

Thus, Makeeya can  put 10 square inches of design on her T-shirt.

Answer:

Add−3 and 6 .5y+3

Answer: 5y+3

Step-by-step explanation: (5y-3+6)        5y+3

-3+6=3         5y+3

The measure of the angle that we have here would be 54°

The sum of angle that is in a triangle is given as 180

we have m∠D = (3x + 27)° + m∠E = (4x + 22)°  + m∠F = 68° = 180

such that we would have

3x + 27 + 4x + 22 + 68 = 180

= 3x + 4x + 27 +22 + 68 = 180

7x + 117 =180

7x = 63

x = 9

For the angle D we would have

m∠D = (3x + 27)°

= 3 * 9 + 27

= 27 + 27

= 54 degrees

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Answer:

54

Step-by-step explanation:

In a two-way ANOVA, the two independent variables are known as factors. Two variables, or factors, are supposed to influence the dependent variable.

First, let's understand what is 2-way ANOVA using 2 factors.

To determine how the values of two categorical factors affect the mean of a quantitative variable, a two-way ANOVA is utilized. When you wish to determine how two independent factors interact with one another to effect a dependent variable, use a two-way ANOVA.

To evaluate if there is a statistically significant difference between the means of three or more independent groups that have been divided on two factors, a two-way ANOVA is utilized.

Given is that the first factor has 4 levels and the second factor has 9 levels.

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The solution to the inequality is -3 ≤ x ≤ -1/3

Given the inequality:

4|3x+5| ≤ 16

Let us simplify it by dividing both sides by 4 to get:

|3x+5| ≤ 4

Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:

First: 3x+5 ≥ 0

In this case, the inequality simplifies to:

3x+5 ≤ 4

Subtracting 5 from both sides, we get:

3x ≤ -1

Dividing by 3 (which is positive) gives:

x ≤ -1/3

Second: 3x+5 < 0

In this case, the inequality simplifies to:

-3x-5 ≤ 4

Adding 5 to both sides, we get:

-3x ≤ 9

Dividing by -3 (which is negative and requires us to flip the inequality), gives:

x ≥ -3

Therefore, the solution to the inequality is:

-3 ≤ x ≤ -1/3

The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.

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the size factor will be 2.5.

Through a modification known as dilation, an object can be resized. By dilatation, the objects can be resized or enlarged. This transformation results in a shape that is a perfect replica of the original image. The form's dimensions do vary, though. An expansion or contraction of the original form is required for a dilatation. This shift is referred to as the scale factor.

The size disparity between the new and old photos is referred to as the scaling factor. The centre of dilatation is a fixed point in the plane. The scale factor and the centre of dilation determine the dilation transformation.

Given that the box has been enlarged by a scale factor of 4, its length, width, and volume have all been increased by 4 times from their original values.

as a result, it has dilated to 72.68

The volume of the box is dilated by a scale factor of 2.5 because the beginning amount of cereal was 12 ounces and the final amount was 18.75 ounces.

Hence the size factor will be 2.5.

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For X ≤ 15, n = 20, π = .70 ; compound event probability is approximately 0.0008 .

For X > 8, n = 11, π = .65 ; compound event probability is  approximately 0.9198.

For X ≤ 1, n = 13, π = .40 ; compound event probability is  approximately 0.6646 .

a. To calculate the probability of the event X ≤ 15, n = 20, π = .70, we will use the binomial distribution formula:

P(X ≤ 15)

=  ∑_(k=0)¹⁵〖(20Ck)(0.70)^k (0.30)^(20-k) 〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.0008 (rounded to 4 decimal places).

b. To calculate the probability of the event X > 8, n = 11, π = .65, we will first find the probability of X ≤ 8, and then subtract this value from 1 to find the complement probability:

P(X > 8) = 1 - P(X ≤ 8)

= 1 - ∑_(k=0)⁸〖(11Ck)(0.65)^k (0.35)^(11-k)〗

Using a binomial distribution calculator, we can find the probability of X ≤ 8 to be approximately 0.0802.

Therefore, the probability of X > 8 is approximately 0.9198 (rounded to 4 decimal places).

c. To calculate the probability of the event X ≤ 1, n = 13, π = .40, we will use the binomial distribution formula:

P(X ≤ 1)

= ∑_(k=0)¹〖(13Ck)(0.40)^k (0.60)^(13-k)〗

Using a binomial distribution calculator, we can find this probability to be approximately 0.6646 (rounded to 4 decimal places).

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Answer:

1600. Because 20/4is 5 so there is 5time doubling so

first time 50 to 100

second time 100 to 200

third 200to400

fourth 400to 800

fifth 800to 1600.

In 20 years the number of Acromantula will be 1600 if the number of Acromantula is doubling in every 4 years.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given, the number of Acromantula doubles in every 4 years.

Also given that, There are 50 Acromantula in the forest.

In 4 years, the number of Acromantula wil be double of 50 i.e., 100

In 8 years, the number of Acromantula will be double of 100 i.e., 200

In 12 years, the number of Acromantula will be double of 200 i.e., 400

In 16 years, the number of Acromantula will be double of 400 i.e., 800

In 20 years, the number of Acromantula will be double of 800 i.e., 1600

Hence, In 20 years the number of Acromantula will be 1600

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Answer:

6

Step-by-step explanation:

Prime factorization of 60: 2 • 2 • 3 • 5

Prime factorization of 78: 2 • 3 • 13

Prime factorization of 66: 2• 3• 11

Common factors = 2* 3 = 6

Answer:

b = 4

Step-by-step explanation:

There are multiple ways to do this:

1) 12/3 = 4

2) 4 x 3 = 12

3) 12 - 3 = 4

Answer:

135

Step-by-step explanation:

do a squared + b squared = c squared, with 3 being a & 12 being c. do the math.

To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

How to determine the appropriate graph?

The graphs that complete the question are added as an attachment

From the attached graph, we have the following highlights:

The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....

The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....

The above means that graph B is a misleading graph

Hence, Benjamin should use graph A for his report

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The functions for this problem are classified as follows:

a) q(x) is an odd function.

b) r(x) is an even function.

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Answer: is 14 square feet bro

Step-by-step explanatio

Answer:

look at the picture i have sent. thanks for the points

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

The lifeguard covered distance of 14 feet to save the victim. The solution has been obtained by using the arithmetic operations.

What are arithmetic operations?

The four fundamental operations, also referred to as "arithmetic operations," are said by mathematicians to be able to describe all real numbers. The four mathematical operations of division, multiplication, addition, and subtraction result in the terms quotient, product, sum, and difference, respectively.

We are given that a life guard is sitting 8 feet on the observation chair and he notices someone struggling at 6 feet beneath the pool.

So, the total distance he travelled is 8 + 6 = 14 feet

Hence, the lifeguard covered distance of 14 feet to save the victim.

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The standard error for the sample mean exists

\($P(\bar{X} < 0.95)=0.0418=4.18 \%$$\).

Let the value of mean be \($P(\bar{X} < 0.95)$$\)

Normal Distribution, \($\mu=1, \sigma=0.1, n=12$\)

\($P(\bar{X} < 0.95)=$\) Area to the left of 0.95

we convert this to standard normal using

\($z=\frac{\bar{x}-\mu_{\bar{x}}}{\sigma_{\bar{x}}}=\frac{\bar{x}-\mu}{\sigma / \sqrt{n}}$\)

\($z=\frac{0.95-(1)}{0.1 / \sqrt{12}} \approx-1.732051 \approx-1.73$\)

\($P(\bar{X}\) < 0.95) = P(Z < -1.73) = 0.0418 (from z-table)

P(Z < -1.73); in a z-table having area to the left of z, locate -1.7 in the left most column. Move across the row to the right under column 0.03 and get value 0.0418.

\($P(\bar{X} < 0.95)=0.0418=4.18 \%$$\)

Therefore, the standard error for the sample mean exists

\($P(\bar{X} < 0.95)=0.0418=4.18 \%$$\).

The complete question is;

What is the probability that the sample mean will be below 0.95 centimeters?

At a computer manufacturing company, the actual size of computer chips is normally distributed with a mean of 1 centimeter and a standard deviation of 0.1 centimeter. A random sample of 12 computer chips is taken.

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a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

a) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.

In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.

Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.

b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.

For Scooter, with x = 20 (number of shirts sold):

f(x) = 200 + 15x

f(20) = 200 + 15 * 20

f(20) = 200 + 300

f(20) = 500

For Karissa, with x = 12 (number of repairs):

f(x) = 80 + 35x

f(12) = 80 + 35 * 12

f(12) = 80 + 420

f(12) = 500

Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.

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Answer: i think its w=15h

Step-by-step explanation:

Differentition of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

A differential equation is an equation that contains one or more functions with its derivatives.

Given,

\(y=log_{2}x^{3}.(5x^{4}+2)\)

We have to differentiate with respect to x.

y'=xy'+yx'

\(x=log_{2}x^{3}\)

\(y=5x^{4}+2\)

\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x^{3}} .3x^{2}\)

\(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

Hence, differentiation of \(y=log_{2}x^{3}.(5x^{4}+2)\) is \(y'=log_{2}x^{3}(20x^{3} )+(5x^{4}+2)\frac{1}{x}\)

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Answer:

50°

Step-by-step explanation: