2.1 Calculate, with reasons, the size of the following angles: (a) hat (O)_(1) (b) hat (E)_(1)

Answer:

A: 71,235,000

B: 71,235,00

C: 71,240

Step-by-step explanation: Round by thousands, hundreds and tens.

The statement "A sampling distribution is normal if either n≥30 or the population is normal" is true.

Hence option C is correct.

It is ideal for the population to be normal, a larger sample size (n≥30) can also result in a normal sampling distribution due to the Central Limit Theorem.

Therefore, a normal sampling distribution is not never possible as stated in option B, and it's not solely dependent on the population being normal as stated in option A.

Option D, stating that a normal sampling distribution is only possible if n≥30 is also not entirely true, as a normal population can still result in a normal sampling distribution for smaller sample sizes.

Hence the correct statement is,

"A sampling distribution is normal if either n≥30 or the population is normal".

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The value of x that makes the unshaded area equal to the shaded area is 7.07 inches.

An equation is an expression that shows the relationship between two or more variables and numbers.

The area of big sector = (60/360) * π(10)² = (50π /3) cm²

Area of small sector = (60/360) * π(x)² = (x²π /6) cm²

Unshaded area = (x²π /6) cm²

Shaded area = (50π /3) - (x²π /6) = (100π - x²π) /6

Shaded area = unshaded area

(100π - x²π) /6 = (x²π /6) cm²

x = 7.07

The value of x that makes the unshaded area equal to the shaded area is 7.07 inches.

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The length of x in the sector is 7.08 cm.

area of a sector = ∅ / 360 × πr²

where

Therefore,

area of a sector = 60 / 360 × π × 10²

area of a sector = 60 / 360 × π × 100

area of a sector = 6000 / 360 π

Hence,

area of the unshaded portion = 6000 / 360 π ÷ 2 = 6000π / 720 =  26.1666666667 = 26.2 cm

Hence,

26.2 = 60 / 360 × 3.14 × x²

x² = 26.2 / 0.52333333333

x = √50.0637261552

x = 7.07557064836

x = 7.08 cm

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Answer:

2x-1

Step-by-step explanation:

the answer is the second option. I just took the test

Answer: Infinite Solutions.

Step-by-step explanation:

We will transform both equations into slope-intercept form.

       Equation M: 3y = 3x + 6 ➜ y = x + 2

       Equation P: y = x + 2

The two given equations are the same, meaning there are infinite solutions. We can also see this when we graph these two equations, see attached. It's hard to show as they overlap infinitely, but I did my best.

Answer:

15 markers in all

Step-by-step explanation:

5 + 2 + 3 + 5 =

5 + 5 = 10

+

2 + 3 = 5

=

10 + 5 = 15

Brainliest Please!!

The side of square is 216 units and side of cube is 36 units.

According to question we have given that Sally has a cube of some length in units. Let the length of side of cube is S units .

As we know , Area of cube = 6 (side)²= 6S² square units.

Volume of cube = (side)³ = S³ cubic units

Then, as given area in square units of cube = 1/6 of volume of cube in cubic units . That is 6S²= 1/6 S³ => S = 36 units

Area of cube with side 36 units = 6×36²=46656 square units

Volume of cube with side 36 units = 36 ³ cubic units

So, the side of cube is 36 units.

Also, the number of square units in area of Square = number of cubic units in volume of cube

Area of square (S²) = 46656

Side of square = sqrt (46656 ) = 216 units

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Brutus Construction Company pays approximately 0.80% of the outstanding principal in interest each month.

To calculate the percentage of the outstanding principal that Brutus Construction Company pays in interest each month,

Calculate the monthly interest rate.

The Annual Percentage Rate (APR) is 9.60%.

To find the monthly interest rate, we divide the APR by 12: 9.60% / 12 = 0.80% (0.008 in decimal form).

Determine the number of months for the loan.

The loan is for five years, so the number of months is 5 years× 12 months/year = 60 months.

Calculate the monthly payment.

To calculate the monthly payment,

we can use a loan amortization formula or financial calculator.

For the purpose of this calculation,

we'll assume the loan is fully amortizing,

meaning the principal and interest are paid off by the end of the loan term.

In this case, the monthly payment can be calculated by dividing the total loan amount by the number of months:

$1,235,000 / 60 = $20,583.33.

Calculate the interest payment for the first month.

The interest payment for the first month can be calculated by multiplying the outstanding principal (initial loan amount) by the monthly interest rate:

$1,235,000×0.008 = $9,880.

Calculate the percentage of the outstanding principal paid in interest each month.

To find the percentage, we divide the interest payment for the month by the outstanding principal and multiply by 100:

($9,880 / $1,235,000) × 100 ≈ 0.80%.

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Step-by-step explanation:

if you meant

x²-36=5x:

x²-5x-36=0

(x-9)(x+4)=0

x = 9 and x = -4

you want the positive one, so 9

Answer: Calculate the New Value

New value =

80 - Percentage decrease =

80 - (80% × 80) =

80 - 80% × 80 =

(1 - 80%) × 80 =

(100% - 80%) × 80 =

20% × 80 =

20 ÷ 100 × 80 =

20 × 80 ÷ 100 =

1,600 ÷ 100 =

16

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 80 =

16 - 80 =

- 64

Answer:

LTN and NTE is correct. It doesn't say to list all adjacent angles, so I think you are good to go as is.

Answer:

x= 5 -y/2

y=10-2x

Step-by-step explanation:

solve for Y                solve for X        

2x + y= 10                   2x+ y=10              subtract y from each side

-2x        -2x                       -y=10 -y

       y=10-2x                    2x=10 -y

                                        2x/2=  10 -y/2  multiply both sides by 2

                                              x= 5 - y/2

Answer:

Step-by-step explanation:

To find the highest common factor (HCF) of 12x^12 and 16x^16, we need to factor both expressions.

12x^12 = 2^2 * 3 * (x^2)^6

16x^16 = 2^4 * (x^2)^8

The common factors of 12x^12 and 16x^16 are 2^2 and (x^2)^6. To find the HCF, we take the product of these common factors:

HCF = 2^2 * (x^2)^6 = 4x^12

Therefore, the highest common factor (HCF) of 12x^12 and 16x^16 is 4x^12.

a. The efficiency of Expedition Everest is approximately 87.8%.

b. The utilization of Expedition Everest is approximately 94.7%.

c.  The demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

To calculate the efficiency and utilization of Expedition Everest, we need to compare the actual number of riders with the design capacity and effective capacity.

Given:

Demand = 3,000 riders/hour

Average riders = 1,800 riders/hour

Design capacity = 2,050 riders/hour

Effective capacity = 1,900 riders/hour

a. Efficiency:

Efficiency is calculated as the average riders divided by the design capacity, multiplied by 100%.

Efficiency = (Average riders / Design capacity) * 100%

= (1,800 / 2,050) * 100%

≈ 87.8%

Therefore, the efficiency of Expedition Everest is approximately 87.8%.

b. Utilization:

Utilization is calculated as the average riders divided by the effective capacity, multiplied by 100%.

Utilization = (Average riders / Effective capacity) * 100%

= (1,800 / 1,900) * 100%

≈ 94.7%

Therefore, the utilization of Expedition Everest is approximately 94.7%.

c. Capacity Analysis:

To determine if the operation is overcapacity or undercapacity, we compare the demand with the effective capacity.

Demand > Effective capacity

3,000 > 1,900

Since the demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

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If the shape is made up of one half-circle attached to an equilateral triangle with side lengths 20 inches then, the perimeter of the shape is 91.4 inches.

To find the perimeter of the shape, we need to know the length of the curved boundary (the circumference of the half-circle) and the length of the straight boundary (the perimeter of the equilateral triangle).

The radius of the half-circle is half the length of the side of the equilateral triangle, which is 10 inches. Therefore, the circumference of the half-circle is:

C = πr = π(10) = 31.4 inches.

The perimeter of the equilateral triangle is 3 times the length of one side, which is 20 inches. Therefore, the perimeter of the triangle is:

P = 3s = 3(20) = 60 inches

Finally, the perimeter of the entire shape is the sum of the lengths of the curved and straight boundaries:

Perimeter = C + P = 31.4 + 60 = 91.4 inches.

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Complete Question

This shape is made up of one half-circle attached to a square with side lengths 11 inches. Find the perimeter of the shape.

You can use 3.14 as an approximation for π. help i don't know it.

Answer:

missing number=81

Step-by-step explanation:

you are multiplying by three.

27×3=81

Answer:

81 !?!??!?!!!!!!!!!?!?!??!

Answer:

A

Step-by-step explanation:

The shape was reflected across the purple line

Answer:

Reflection

Step-by-step explanation:

The number of ways to order the first, second and third place finishers is simply the number of permutations of 8 runners taken 3 at a time. This can be calculated using the formula for permutations

The formula for permutations, P(n,r), gives the number of ways to choose r items from a set of n items, where order matters. This formula is calculated as:

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

where n! represents the factorial of n (i.e. n multiplied by n-1 multiplied by n-2, etc. down to 1).

In this problem, n = 8 and r = 3, so the number of permutations is:

P(8,3) = 8! / (8-3)! = 8! / 5! = 40320 / 120 = 336

So there are 336 different arrangements of first, second, and third place finishers in the 100-meter sprint.

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a) To construct the 95% confidence interval for the difference between the two population proportions, we can use the following formula:

( p1 - p2 ) ± z*sqrt[ (p1 * q1/n1) + (p2 * q2/n2) ]

where p1 and p2 are the sample proportions of men and women, respectively, q1 and q2 are the corresponding complements of the sample proportions, n1 and n2 are the sample sizes, and z is the critical value for a 95% confidence level, which is 1.96.

Plugging in the given values, we get:

(0.56 - 0.35) ± 1.96sqrt[ (0.560.44/1020) + (0.35*0.65/980) ]

= 0.21 ± 0.046

Therefore, the 95% confidence interval for the difference between the two population proportions is (0.164, 0.256).

b) To test whether the two population proportions are different at the 2% significance level using the p-value approach, we can use the following null and alternative hypotheses:

H0: p1 = p2

Ha: p1 ≠ p2

where p1 and p2 are the population proportions of men and women, respectively.

Using the formula for the test statistic:

z = (p1 - p2) / sqrt[ (p1q1/n1) + (p2q2/n2) ]

Plugging in the sample values, we get:

z = (0.56 - 0.35) / sqrt[ (0.560.44/1020) + (0.350.65/980) ]

= 7.47

The p-value for this test is P(|Z| > 7.47) < 0.0001, which is much smaller than the significance level of 0.02. Therefore, we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the two population proportions are different at the 2% significance level.

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Solution,

4(2n-3)

=4*2n-4*3

=8n-12

hope it helps

Good luck on your assignment

Answer:

\(= 8n - 12 \\ \)

Step-by-step explanation:

\(4(2n - 3) \\ 4 \times 2n - 4 \times 3 \\ = 8n - 12\)

hope this helps

brainliest appreciate

good luck! have a nice day!

Answer:

We get the value of a: \(\mathbf{a<-9}\)

Step-by-step explanation:

We have to solve the inequality \(1<\frac{a+7}{-2}\)

So, solving the inequality and finding value of a

First step is to switch both sides and for doing so, the inequality will be reversed

\(\frac{a+7}{-2}>1\)

Multiply both sides by -2, as we are multiplying by a negative number, the inequality will be reversed

\(\frac{a+7}{-2}\times -2<1\times -2\)

\(a+7 < -2\)

Now, subtracting both sides by 7, to find value of a

\(a+7-7<-2-7\\a<-9\)

We get the value of a: \(\mathbf{a<-9}\)

Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

(a) The Nash equilibrium for the $20 ultimatum game is a 50-50 split: the proposer offers $10 and the responder accepts. (b) Experimental findings show deviations from the Nash equilibrium due to fairness considerations, strategic behavior, and social preferences. (c) Proposers deviate from Nash equilibrium due to fairness concerns and strategic considerations. (d) To test the explanation, conduct experiments manipulating fairness norms and incentives to observe proposers' behavior.

(a) The Nash equilibrium for the $20 ultimatum game, where offers are made to the nearest $0.50, is a 50-50 split, where the proposer offers $10 and the responder accepts.

(b) The experimental literature has found deviations from the Nash equilibrium in both proposers and responders. These deviations can be attributed to various factors such as fairness considerations, strategic behavior, and social preferences.

(c) The behavior of the proposer deviates from the Nash equilibrium due to factors like fairness concerns and strategic considerations. Proposers may make more generous offers to avoid rejection or to signal fairness and maintain a positive reputation.

(d) To test the explanation that proposers deviate from the Nash equilibrium due to fairness concerns, one could design an experiment where fairness is manipulated. Participants could be exposed to different fairness treatments, and their offers could be observed and compared to those in a control group. Statistical analysis can then be used to determine if there is a significant difference in offers between the fairness treatments and the control group.

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Answer:

y = 1100 - 115x

Step-by-step explanation:

Let the monthly payment be $p

In two months Zach would have paid 2p dollars

Balance would be  1100 - 2p = y

We know after 2 months, balance y was actually 870

Substituting y = 870 we get
1100 - 2p = 870

Subtract 1100 on both sides

1100 - 1100 - 2p = 870 -1100

==> -2p = - 230

Divide by -2 on both sides

-2p/-2 = -230/-2

p = 115 which represents the monthly payment .

So the balance y after m months is given by the equation
y = 1100 - 115x

We can verify by plugging in the values for the second scenario
For 6 months
y = 1100 - 115 x 6 = 1100 - 690 = $410 which agrees with the given value so our equation is consistent

1) Since the sum of interior angles yields 180º, no matter which type of triangle it is.

2) Then we can write

3x+12 +x +6x +8 = 180

10x +20 = 180º

10x = 180-20

10x = 160

x= 16

2.2 Let's find out the measurement of each angle

m∠ A= x Plug into that the value of x

m∠ A = 16º

m∠B= 3x+12 Plug into that the value of x

m∠B = 3(16) +12

m∠B = 48+12

m∠B =60

3) Then the answers are:

x = 16

m∠ A = 16º

m∠B =60

The 95% confidence interval estimate for the percentage of all adults who want to lose weight is between 48% and 54%

The given information states that a Gallup Poll found 51% of the sample participants responded "yes" when asked if they would like to lose weight. The margin of sampling error is ±3% at a 95% confidence level.

To calculate the 95% confidence interval estimate for the percentage of all adults who want to lose weight, you simply add and subtract the margin of error from the sample percentage.

Lower limit: 51% - 3% = 48%
Upper limit: 51% + 3% = 54%

Therefore, the 95% confidence interval estimate for the percentage of all adults who want to lose weight is between 48% and 54%. This means that if this poll were repeated multiple times under the same conditions, in 95 out of 100 instances, the true percentage of all adults who want to lose weight would fall within this range.

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the formula is y=mx+b

mx is the slope and b is the y-intercept

y=-2/7+5

---

hope it helps

The class interval size of the frequency distribution of the weights of classmates is 9.

The class interval's size is equal to the distance between the midpoints of two successive numbers.

137 - 128 = 9

146 - 137 = 9

Therefore,

The size of the class interval is 9.

The smallest and greatest data values that fall into each class in a frequency distribution are represented by the class limit.

In a class with marks between 128 - 137,

The lower limit is 128 and the upper limit is 137

In a class with weights between 137 - 146,

The lower limit is 137 and the upper limit is 146

In a class with weights between 146- 155,

The lower limit is 146 and the upper limit is 155

In a class with weights between 155 - 164,

The lower limit is 155 and the upper limit is 164

Class with weights between 164 - 173,

The lower limit is 164 and the upper limit is 173

In a class with weights between 173 - 182,

The lower limit is 173 and the upper limit is 182

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