This equilateral triangle has a perimeter
of 60 mm. What is the length of side X?
X Х​

Answer:

Rule: multiply by two

100 = 200

n = 2n

Step-by-step explanation:

First pay attention to the information given to you. 1 goes to 2, 2 to 4, 3 to 6, and 4 to 8. You need to find the rule, or how exactly the input goes into the output. Let's start with 1 x 2 = 2. That would fit for the first one. So we will try that for the next one. 2 x 2 = 4. The rule of multiplying by two works for the second one too. Now we do the third. 3 x 2 = 6. Works again. Next, 4 x 2 = 8. So the rule of multiplying by 2 works for all of the given information.

Now that we have the rule, we can use it to find the missing information. 100 x 2 = 200. So that's your first answer. The second one is a little more tricky if you think about it too hard. The simple answer is 2n. Because n is only a variable and not a real number, it can't be completely multiplied like the rest. It becomes 2n or, 2 times n.

I hope this helped :)

Answer:

What is 80% of 63?

50.4 is the right answer

Question: Mai had $14.50. She spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Mai has left?

Answer: $4.90

Steps: Step 1: Find operation: The operation in this problem is subtraction because words such as "spent" means that she used money, meaning we subtract.

Step 2: Figure out order of numbers: Now that we know that the operation is subtraction, we need to know what numbers to subtract. The problem says that Mai had $14.50, which means that this is the total amount of money she had when she started. Spent means that Mai used money, so this means that we subtract like this: $14.50-$4.35-$5.25.

Step 3: Subtract: Now that we know what operation to use, and what order to use the numbers, we can finish the problem:

--------------------------------------------------------------------------------------------------------------

Question: Kristina rides her bicycle 384.25 miles over 29 weeks to and from her job. How many miles does she ride each week to and from her job if she rides the same amount each week?

Answer: 13.25

Steps: 1: Find operation: To solve this question, we need to find the operation. Words such as "same amount each week" mean that this is division.

Step 2: Figure out order of numbers: Now, we need to figure out what to divide by. We divide 384.25 by 29 because it say that she rides 384.25 miles over 29 weeks.

Step 3: Divide: Now, we will solve the equation: 384.25 divided by 29 is 13.25, so the answer is 13.25.

Hope this helps you!

P.s. Sorry I could not show how to divide 384.25 by 29.

The correct statement regarding the data-sets is given as follows:

A. A girl is 10% more likely to work after school than a boy.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

Out of 30 boys, 18 work after school, hence the probability is given as follows:

18/30 = 0.6 = 60%.

Out of 20 girls, 14 work after school, hence the probability is given as follows:

14/20 = 0.7 = 70%.

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Answer:

CI = (-0.0445, 0.0225)

there is no sufficient evidence to men and women have equal success in challenging calls

Step-by-step explanation:

Sample size for men; n1 = 1425

Number of success for men; x1 = 412

Sample size for women; n2 = 739

Number of success for women; x2 = 221

Significance level; α = 0.05

Sample proportion for men;

p1 = x1/n1 = 412/1425

p1 = 0.2891

Sample proportion for women;

p2 = x2/n2 = 221/739

p2 = 0.2991

From tables, z-score at significance level of 0.05 is 1.96.

Formula for margin of error is;

E = z√[(p1(1 - p1)/n1) + (p2(1 - p2)/n2)]

Plugging in the relevant values;

E = 1.96√[(0.2891(1 - 0.2891)/1425) + (0.2991(1 - 0.2991)/1425)]

E = 1.96 × 0.0170687

E = 0.0335

Coordinates of the confidence interval will be;

[(p1 - p2) - E], [(p1 - p2) + E]

[(0.2881 - 0.2991) - 0.0335], [(0.2881 - 0.2991) + 0.0335]

CI = (-0.0445, 0.0225)

This means that the confidence interval contains 0 since it's between (-0.0445 and 0.0225). Thus we can conclude that there is no sufficient evidence to men and women have equal success in challenging calls

Step-by-step explanation:

please mark me as brainlest

the probability of ordering a medium, pan, pepperoni pizza will be 1 / 18.

We are given that in a restaurant, there are 3 types of pizza:

small

medium

large

2 types of crust

pan

hand tossed

3 types of toppings:

pepperoni

sausage

extra cheese

we have drawn the tree diagram for the same

Probability of choosing a medium crust = 1 / 3

Probability of choosing a pan pizza = 1 / 2

probability of choosing pepperoni = 1 / 3

Combined probability of ordering a medium, pan, pepperoni pizza will be:

P = 1 / 3 × 1 / 2 × 1 / 3

P = 1 / 18

Therefore, we get that, the probability of ordering a medium, pan, pepperoni pizza will be 1 / 18.

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Answer:

Step-by-step explanation:

To determine the price the student-athlete should charge for each hot dog to break even, we need to consider the total costs she incurs, including the vendor fee, equipment cost, and the cost per hot dog. By dividing the total costs by the anticipated number of hot dogs sold, we can find the price per hot dog that would allow her to break even.

The total costs for the student-athlete include the vendor fee of $3000 and the equipment cost of $4500, which sums up to $7500 for the season. Additionally, she incurs a cost of $0.35 per hot dog sold. With an anticipation of selling 2000 hot dogs, the total cost for the hot dogs would be 2000 x $0.35 = $700.

To break even, the total revenue from selling the hot dogs should cover the total costs. Therefore, the price per hot dog should be set in such a way that the revenue from selling 2000 hot dogs equals $7500. Dividing the total costs ($7500) by the number of hot dogs (2000), we find that the student-athlete should charge $3.75 per hot dog in order to break even. This price per hot dog would allow her to cover all her expenses and reach the break-even point.

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The value of tensions are:

T₁ = 231/74

T₂ = -329/66

T₃ = 8/33

We can use Gaussian elimination to solve the system of equations:

5T₁ + 3T₂ + 5T₃ = 70

T₁ + 2T₂ + 4T₃ = 24

4T₁ + 2T₂ = 40

First, we'll use the third equation to eliminate T₂ from the first two equations:

4T₁ + 2T₂ = 40   (equation 3)

T₁ + 2T₂ + 4T₃ = 24   (equation 2)

Multiplying the third equation by 2 and subtracting it from the second equation:

T₁ + 2T₂ + 4T₃ = 24   (equation 2)

- 8T₁ - 4T₂ = -80   (2 × equation 3)

------------------------

-7T₁ + 4T₃ = -56

Now we have two equations:

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

-7T₁ + 4T₃ = -56   (from previous step)

Multiplying the first equation by 7/5 and adding it to the second equation:

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

-7T₁ + 4T₃ = -56   (from previous step)

------------------------

T₁ + 7T₃ = 14

Now we can use the third equation to eliminate T₂ from the first equation:

4T₁ + 2T₂ = 40   (equation 3)

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

Multiplying the third equation by 3/2 and subtracting it from the first equation:

4T₁ + 2T₂ = 40   (equation 3)

-11T₁ - T₃ = -35   (3 × equation 3 - 5 × equation 1)

Now we have two equations:

T₁ + 7T₃ = 14   (from previous step)

-11T₁ - T₃ = -35   (from this step)

Multiplying the second equation by -7 and adding it to the first equation:

T₁ + 7T₃ = 14   (from previous step)

74T₁ = 231

Therefore, T₁ = 231/74.

Substituting this value back into the equation T₁ + 7T₃ = 14, we get:

(231/74) + 7T₃ = 14

7T₃ = (74/231) × 20

T₃ = 8/33

Finally, substituting T₁ = 231/74 and T₃ = 8/33 into the equation -11T₁ - T₃ = -35, we get:

-11(231/74) - (8/33) = -329/66

Therefore, T₂ = -329/66.

So, the tensions are: T₁ = 231/74 T₂ = -329/66 T₃ = 8/33

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Answer:

Kareem is responsible for 2.73% of them

Let's define the functions given below:f(x) = (x + 1)²g(x) = x - 2Now we have to find fofog and gogof for the domain (-1, 2, 4] to Z.fofog

First, we will find g(x), then f(x), and then substitute the value of g(x) in place of x in f(x).This can be written as follows:f(g(x)) = f(x - 2) = [(x - 2) + 1]^2 = (x - 1)^2

Now, we have to substitute the domain (-1, 2, 4] one by one:(-1 - 2 - 4]For x = -1, f(g(-1)) = (-1 - 1)^2 = 4For x = 2, f(g(2)) = (2 - 1)^2 = 1For x = 4, f(g(4)) = (4 - 1)^2 = 9Therefore, fofog for the domain (-1, 2, 4] to Z is given by {(x, fofog(x)) : x ∈ (-1, 2, 4], fofog(x) ∈ {4, 1, 9}}gogof

For this, we will find f(x), then g(x), and then substitute the value of f(x) in place of x in g(x).This can be written as follows:g(f(x)) = g((x + 1)²) = (x + 1)² - 2

Now, we have to substitute the domain (-1, 2, 4] one by one:(-1 - 2 - 4]For x = -1, g(f(-1)) = (-1 + 1)^2 - 2 = -2For x = 2, g(f(2)) = (2 + 1)^2 - 2 = 9For x = 4, g(f(4)) = (4 + 1)^2 - 2 = 22

Therefore, gogof for the domain (-1, 2, 4] to Z is given by {(x, gogof(x)) : x ∈ (-1, 2, 4], gogof(x) ∈ {-2, 9, 22}}.Thus, the composite functions fofog and gogof have been calculated with the domain (-1, 2, 4] to Z.

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The area of the shaded region is 36.3  to 3  significant figures

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.

Step one: find the two diagonals of the kite.

The Horizontal diagonal can be obtained using the cosine rule:

AC² = OA²- OC² - 2 *OA*OC* cosθ

       = 10²+ 10² - 2* 10 *10 * cos(120)

AC² = 200

=> AC=√200 = 14.1

The vertical diagonal of the kite can be obtained by Pythagoras' Theorem:

Please note the law in circle geometry which states that a radius and a tangent always meet at right angles.

This implies that triangle OBC is a right-angled triangle, with angle OCB being 90 degrees, and COB being 60 degrees. This is because the diagonal divides the 120-degree angle into half.

cos(60)= 10/OB

=> OB= 10/ cos(60) = 20 m

Step two: Use the dimensions of the two diagonals of the Kite to find the area:

The area of a Kite is obtained using this formula:

area = pq/2, , where p and q are the two diagonals.

area =( 14.1*20)/2 = 141 m²

Step three: Calculate the area of the sector of the circle.

Area of the sector is obtained using this formula

Area =θ/360 * πr²  = 120/360 * 3.14 * 10²  = 104.66 m²

Step Four: Subtract the area of the sector from the area of the kite:

Area of the shaded region will be  141 m²  -  104.66 m²  = 36.34 m²

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The measure of the ACB arc is 250° when in the picture we have a circle with an angle AOB is a central angle with a measure of 110°.

Given that,

In the picture we have a circle with an angle AOB is a central angle with a measure of 110°.

We have to find the measure of the ACB arc.

We know that,

Suppose that AB is the minor arc that is m(arc AB) = 110°

We know that measure of the major arc is 360°-  measure of minor arc.

m(arc ACB)= 360- m(arc AB)

m(arc ACB)= 360-110

m(arc ACB)= 250°

Therefore, The measure of the ACB arc is 250° when in the picture we have a circle with an angle AOB is a central angle with a measure of 110°.

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Answer:

-2

Step-by-step explanation:

4x +4 +7 =3

or, 4x = 3 - 11

or, x = (-8) / 4

since,

X = -2

The sample size should be selected as 100 in order to be 99% confident that the sample mean differs from the population mean by ±0.5 km (or within a range of 0.5 km).

To determine the sample size needed to estimate the distance students travel to school with a 99% confidence level and a margin of error of ±0.5 km, we can use the formula for sample size calculation:

n = (Z * σ / E)^2

where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (in this case, 99% confidence level, which corresponds to Z = 2.576)

σ = population standard deviation

E = margin of error

Plugging in the given values:

n = (2.576 * 2.25 / 0.5)^2

Calculating this equation gives us the required sample size:

n ≈ 99.98

Since we cannot have a fractional sample size, we round up to the nearest whole number.

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Step-by-step explanation:

24 cans cost $8.

so, 1 can is 1/24 if the total, and that applies then also to the price.

so, the cost of 1 can is 8/24 = 1/3 ≈ $0.33

Answer:

Cost per can = $0.33.

Step-by-step explanation:

8 / 24

= 1/3

= 0.333....

Answer:

77 minutes or 1 hour, 17 minutes

Step-by-step explanation:

7000 feet in 20 minutes is 700 feet in 2 minutes or

350 feet per minute

to find the number of minutes to go 26950 feet we can divide that by 350

26950 ÷ 350 = 77 minutes or 1 hour, 17 minutes

Answer:

letter c.po sagot diyan

The simplest factorial design contains 2 independent variables with 2 conditions. The answer is option B.

A factorial design is a study in which two or more independent variables are manipulated to see their impact on the dependent variable. The simplest factorial design contains two independent variables, each with two conditions, for a total of four conditions. This is referred to as a 2x2 factorial design. The factors analyzed in such a design are the primary factor: Factor A, which has two levels, is known as the primary factor or the rows, and the secondary factor: Factor B, which has two levels, is referred to as the secondary factor or the columns.

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Answer:

rectangle , rhombus

bsj

Answer:

write it in desmos and it will graph it for you

Multicollinearity is indeed a problem in statistical analysis, regardless of whether you are aware of its existence or not. Multicollinearity refers to a high correlation between two or more predictor variables in a regression model.

It can cause issues such as unstable coefficient estimates, difficulty in interpreting the individual effects of predictors, and increased uncertainty in the model's predictions.Even if you are aware of multicollinearity, it doesn't eliminate the problem itself. While awareness can help you be cautious about the interpretation of the coefficients and take appropriate steps, such as examining variance inflation factors (VIF) or using regularization techniques, it does not eliminate the inherent issues caused by multicollinearity.

Therefore, it is important to address multicollinearity in your analysis through methods like removing redundant variables, transforming variables, or using dimensionality reduction techniques to mitigate its impact on the model's results and reliability.

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Answer:

Step-by-step explanation:

(x+12/2,y-9/2)=(5,7)

x+12=10,y-9=14

x=-2,y=23

The coordinates of endpoint G is (-2, 23) if the midpoints of a GH is M(5, 7). One endpoint is H(12, -9).

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

\(\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|\)

It is given that:

The midpoint of a GH is M(5, 7). One endpoint is H(12, -9).

The coordinates of endpoint G (x, y)

Using mid-point theorem:

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

(x + 12)/2 = 5

x + 12 = 10

x = 10 - 12

x = -2

(y -9)/2 = 7

y - 9  = 14

y = 14 + 9

y = 23

Thus, the coordinates of endpoint G is (-2, 23) if the midpoints of a GH is M(5, 7). One endpoint is H(12, -9).

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The integers in the set S that make the inequality false are 20 and 40, so the correct option is the third one.

Here we have the following inequality:

(1/5)*(m - 5) ≤ (1/10)*(m - 20)

First, let's simplify the inequality:

(1/5)*(m - 5) ≤ (1/10)*(m - 20)

(10/5)*(m - 5) ≤  (m - 20)

2*(m - 5) ≤ (m - 20)

2m - 10 ≤ m - 20

2m - m ≤ -20 + 10

m ≤ -10

So the only solutions are the values of m that are equal to or smaller than -10.

And the set is {-40, "-10," 20, 40}, then the elements of that set that make the inequality false are 20 and 40 (both are larger than -10).

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The standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

\(\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{N}\)

SD is the standard deviation

xi is each value from the data set

X is the mean of the data set

N is the number of observations in the data set.

It is given that:

The data set:

45, 76, 30, 22, 51, 40, 63, 66, 41

From the formula:

∑(x(i) - X)² = 2463.55

N = 9

SD = √(2463.55/9)

SD = 16.54

Thus, the standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.

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Answer:

I think that you need to add obvoiusly.

12351 Thats what I got. But Im not sure if its correct. I hope his helps

Step-by-step explanation:

Answer:

16383

Step-by-step explanation:

12288+3072+767+192+48+12+3 =

Answer:

y=-2x-5

Step-by-step explanation: