Que How does your tessellation with triangles relate to hexagons and tessellating the plane? Type your response in the space below:

Answer:

a. (23.4%, 38.9%)

Step-by-step explanation:

Р = x/∝ = 52/167 = 0.3114

At 95% confidence level

∝ = 1 - 0.95 = 0.05

Zerit = Z0.05/2 = 1.96

Р ± Zerit \(\sqrt{P(1-P) / n}\)

= 0.3114 ± 1.96 \(\sqrt{0.3114(1-0.3114) / 167}\)

= 0.3114 ±  0.0702

= 0.2412 or 0.3816

= 24.1% or 38.1%

Closest Option = 23.4%, 38.9%

A 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)

The formula for calculating the confidence interval based o proportion is expressed according to the formula:

\(p\pm z\sqrt{\frac{p(1-p)}{n} }\)

z is the z-score at 95% confidence interval

p is the proportion

n is the sample size

Given the following parameters

p = 52/167 = 0.31

z = 1.96

n = 167

Substitute the given parameters into the formula to have:

\(CI=0.31 \pm 1.96\sqrt{\frac{0.31(1-0.31)}{167} } \\CI=0.31 \pm 1.96\sqrt{\frac{0.31(0.69)}{167} } \\CI=0.31 \pm 1.96(0.035)\\CI=0.31\pm 0.0701\\CI = (0.31-0.0701, 0.31+0.0701)\\CI=(0.234, 0.389)\)

Hence a 95% confidence interval for the true percentage of individuals whose favorite animal is a dog is (23.4%, 38.9%)

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Answer:

70

Step-by-step explanation:

45+90=135

180-45=45

q=45

45+65=110

180-110=70

70-45=25

p=25

45+25=70

Answer: 70°

Step-by-step explanation:

We know that the sum of all 3 angles in a triangle is 180°. Hence, we can just set all measures to be equal to 180° and solve for the variables.

\(p+65+90=180\\p+155=180\\p=25\)

\(45+90+q=180\\135+q=180\\q=45\)

\(p+q=25+45=70\)

The sum of p and q is 70°.

Answer: if you are simplifying its 20x-2

Step-by-step explanation:

Answer:

A=33.33

Step-by-step explanation:

Answer: Part A) 25%

Part B) 75%

Step-by-step explanation: Hope this helps.

The circular is around 305 cm in circumeference.

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle.

Substituting d = 97 cm and using the value of π to be 3.14159, we get:

C = πd

C = 3.14159 × 97 cm

C ≈ 304.731 cm

Rounding this to 3 significant figures, we get:

C ≈ 305 cm

Therefore, the circumference of the circle is approximately 305 cm.

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Answer:(2x+7)+(2x+7)

Step-by-step explanation:

what you do is put 2x on the top and on the side and then seven on the top and on the side and then you got your answer

The price of each drink would be; $2.

Equations are mathematical statements with two algebraic expressions flanking the equals sign on either side. the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Noted that Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation.

Given that Alana spent $32 on 7 cases of juice and 9 cases of soda.

she purchased an additional 7 cases of juice and 11 cases of soda, spending a total of $36.

Assume that the price for juice be $ and price of soda be $y.

Then, the system of equation is;

7x + 9y = 32

7x + 11y = 36

Solving the above equation;

x= 2 and y= 2

Thus, the cost of each drink = $2.

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Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

Answer:

lcm of 3,6,9 is 18

The percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78% and 9 cm respectively

Percentage of the boys in the class deals with a ratio of the boys to the number of students in the class

The given parameters that will help us to get the percentage are

Mean height of the class = 152 cm

Mean height of the boys = 158 cm

The standard deviation of the boys = 5 cm

Mean height of the girls = 148 cm

Standard deviation of the girls = 4 cm

(1) The percentage of boys in the class is

Total mean height = 158 +148 = 306

Percentage = 158/306 * 100 = 51.6%

Then the  percentages 51.6/100 * 152 = 78%

(2) The total standard deviation of all the students

Boys + girls = 5+4 = 9 cm

Therefore, the percentage of boys in the class and also the standard deviation of heights of all the students in the class are 78 students and 9 cm respectively

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The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

The unit of measure used in the study is "inches"

Answer:

p = \(\frac{35}{13}\) and q = \(\frac{6}{13}\)

Step-by-step explanation:

Given equations:

2p - 3q = 4        -----------(i)

3p + 2q = 9       ------------(ii)

Let's solve this equation simultaneously using the elimination method

(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;

[2p - 3q = 4]        x 3

[3p + 2q = 9]       x 2

6p - 9q = 12            -------------(iii)

6p + 4q = 18            -------------(iv)

(b) Next, subtract equation (iv) from equation (iii) as follows;

     [6p - 9q = 12]        

 -   [6p + 4q = 18]    

            -13q = -6      -----------------(v)

(c) Next, make q subject of the formula in equation (v)

      q = \(\frac{6}{13}\)

(d)  Now substitute the value of q = \(\frac{6}{13}\) into equation (i) as follows;

     2p - 3(\(\frac{6}{13}\)) = 4

(e)  Now, solve for p in d above

Multiply through by 13;

26p - 18 = 52

Collect like terms

26p = 52 + 18

26p = 70

Divide both sides by 2

13p = 35

p = \(\frac{35}{13}\)

Therefore, p = \(\frac{35}{13}\) and q = \(\frac{6}{13}\)

Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.

Let's calculate the cross-price elasticity of demand using the given information:

a. Find the percentage change in quantity demanded of good Y:

Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100

Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%

b. Find the percentage change in the price of good X:

Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100

Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%

Now, we can calculate the cross-price elasticity of demand:

Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X

Cross-Price Elasticity of Demand = 25% / 25% = 1

b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:

If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.

Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.

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Answer:

Step-by-step explanation:

Answer:

\(\frac{1}{7}\) probability that the next president of the United States was born on Monday

Step-by-step explanation:

A theoretical probability is given by the number of desired outcomes divided by the number of total outcomes.

The next president of the United States was born on Monday

Any person, including the next president of the United States, can be born on 7 possible days: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday or Saturday, one of which is Monday.

So

\(\frac{1}{7}\) probability that the next president of the United States was born on Monday

Answer:

12 hours

Step-by-step explanation:

You have $12 in your bank and you need to get to  $60 so

60-12= 48 , you need 48 dollars to reach to 60

48/4 = 12 hours. So if you get paid 4 dollars an hours, you only need to work 12 hours

Answer:

You need to work 12 hours

Step-by-step explanation:

If you have already 12 dollars in the bank you will need to subtract them from your goal, since as said you already have them. Then, you divide 48 (dollars) by 4 (dollars) and you will get the amount of hours, 12.

We have that how much money she invested in each account is

x=13600

y=10400

From the question we are told that

Hence

x+y=24000.....1

Generally the equation for the interest earned  is mathematically given as

\(\frac{3x}{100}+\frac{7y}{100}=1000\)

\(2x+7y=100000\).....2

Solving both equ 1 and 2 simultaneously

x=13600

y=10400

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we can conclude that option (A) , (B) and (C) are true.

We know that in a triangle,

• Sum of any to sides is greater than the third side.

• Difference between any two sides is smaller than the third side.

So, in ∆EFG, we have,

• EF + FG > EG

• FG + EG> EF

• EF + EG > FG

and,

• EF - FG <EG or FG - EF <EG

• FG - EG < EF or EG - FG < EF

• EF - EG <FG or EG - EF < FG

From options now we get,

A) EF + FG > EG is true

B)EG + FG > EF is true

C) EG - FG < EF is true

D) EF - FG > EG is false

E) EG + EF < FG is false

Therefore, we can conclude that option () , () and () are true.

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We can conclude that option (A) , (B) and (C) are true.

We know that in a triangle,

• Sum of any to sides is greater than the third side.

• Difference between any two sides is smaller than the third side.

So, in ∆EFG, we have,

• EF + FG > EG

• FG + EG> EF

• EF + EG > FG

and,

• EF - FG <EG or FG - EF <EG

• FG - EG < EF or EG - FG < EF

• EF - EG <FG or EG - EF < FG

From options now we get,

A) EF + FG > EG is true

B)EG + FG > EF is true

C) EG - FG < EF is true

D) EF - FG > EG is false

E) EG + EF < FG is false

Therefore, we can conclude option (A) , (B) and (C) are true.

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The length of the third side of ΔXYZ is 6 meters and the length of the third side of ΔABC is 11 meters.

ΔABC is similar to ΔXYZ

So, The sides of the two triangles are proportional to each other.

AB/XY = 6/3 = 2

BC/YZ = 11/5.5 = 2

To find the lengths of the third sides:

So, the length of the third side of ΔXYZ is 6 meters and the length of the third side of ΔABC is 11 meters.

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Complete Question:

Δ ABC and Δ XYZ are similar triangles. the lengths of the two sides of each triangle are shown as 3 and 5.5. find the length of the third side of each triangle.

Answer:

\(r \geqslant - 16\)

Step-by-step explanation:

\( \frac{ - 10 + r}{2} \geqslant - 13\)

multiply both sides by 2:

\( - 10 + r \geqslant - 26\)

add 10 on both sides:

\(r \geqslant - 16\)

Answer:

\(r \ge -16\)

Step-by-step explanation:

To solve any equation/inequality:

1. get the variable to show up exactly once

2. isolate it

\(\frac{-10+r}{2} \ge -13\)

Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)

\(\frac{-10+r}{2} *2 \ge -13 *2\)

\(-10+r \ge -26\)

Add 10 to both sides, and simplify

\((-10+r)+10 \ge (-26)+10\)

\(r \ge -16\)

The probability that a point chosen at random on AE is on AB is 1/5

This refers to the line that shows numbers from left to right and is marked at intervals that are negative to the left and positive to the right.

Based on the keen observation, there are 10 line segments that have an equal length and from the two points, there are two equal line segments,

So, the probability that a random point would fall between A and B is:

Number of line segments between AB/ number of line segments between AE

= 2 /10

= 1/5

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Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35