On which continent were fossils of both Glossopteris and Lystrosaurus discovered? O Australia O South America O Antarctica O North America Save and Exit Mark this and return​

The correct option regarding the sampling distribution of p, considering the Central Limit Theorem, is given as follows:

D. The shape of the sampling distrbution of p is approximately normal because n <= 0.05N and np(1 -p) > 10.

The mean of the sampling distribution of p is of:

0.388.

The standard deviation of the sampling distribution of p is of:

0.0184.

The Central Limit Theorem defines the distribution of the sampling distribution of sample proportions of a proportion p in a sample of size n, in which:

As long as these two conditions are respected:

The values of the parameters in this context are given as follows:

N = 30000, n = 700, p = 0.388.

Hence the conditions are:

Then the shape is approximately normal and option D is correct.

The mean of the distribution is of:

\(\mu = p = 0.388\)

The standard error of the distribution is of:

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.388(0.612)}{700}} = 0.0184\)

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Zane set out to create a table that would demonstrate equivalent ratios for x and y, but after completing it, he noticed an error.

As per the question given,  

Determined to correct the mistake and provide accurate information, he took a closer look at each row and column of the table to identify the incorrect number.

Using his problem-solving skills, Zane was able to pinpoint the incorrect number and replace it with the correct one, ensuring that the table accurately represented the equivalent ratios for x and y. With this correction, Zane could rest easy knowing that he had provided reliable information for others to use and reference.

As the saying goes, "to err is human," but Zane's dedication to accuracy and attention to detail ensured that his mistake did not go unnoticed, and he was able to take the necessary steps to correct it.

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Answer:

12:4

Step-by-step explanation:

i dont know  i think so

The selling price of the bicycle, with a wholesale cost of $98.75 and a 33.3% markup, is approximately $131.59.

To find the selling price of the bicycle, we need to calculate the markup amount and add it to the wholesale cost. The markup amount can be calculated as a percentage of the wholesale cost. In this case, the markup percentage is 33.3% of $98.75.

Markup amount = 33.3% of $98.75

= 0.333 * $98.75

= $32.84 (rounded to the nearest cent)

Now, to find the selling price, we add the markup amount to the wholesale cost:

Selling price = Wholesale cost + Markup amount

Selling price = $98.75 + $32.84

= $131.59 (rounded to the nearest cent)

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Answer:

d rhombus

Step-by-step explanation:

the answer is rhomus

this is because when sliced diagonally from corner to corner you get 2 isosceles triangles that will always be congruent

one huge reason why this is true is because a rhombus always has the same side lengths

the rhombus is also always

Answer:

rhombus

Step-by-step explanation:

The value √50 after estimating hundredths place value, lies between the numbers 7.07 and 7.08.

Hundredths is written as the fractional part of the number 100. The value of a hundredth is equal to 1/100 or 0.01.

Estimate √50 to the hundredths place.

First, check the whole number between whose, the value √50 is fall.

\(7^2 = 49\)

\(8^2 = 64\)

The number 7 and 8 are the numbers, between which the value √50 is lies.

In the decimal point form find out the value, till the value, √50.

\((7. 0)^2 = 49.0\)

\((7.1)^2 = 50.41\)

Thus, the value lies between the square of 7.0 and 7.1.

The square of number between 7.0 and 7.1 are,

\((7.01)^2=49.1401\\(7.02)^2=49.2804\\(7.03)^2=49.4209\\(7.04)^2=49.5616\\(7.05)^2=49.7025\\(7.06)^2=49.8436\\(7.07)^2=49.9849\\(7.08)^2=50.1264\\\)

Hence, the value √50 after estimating hundredths place value, lies between the numbers 7.07 and 7.08.

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Answer:

y = 4x – 10

Step-by-step explanation:

slope formula: \(m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

point-slope formula: \(y-y_{1}=m\left(x-x_{1}\right)\)

Note: When given two points you only need to pick one for the point-slope formula! Best to choose the positive one so you don't have to deal with the negatives!

Hope this helps! Please give Brainliest!

Answer:

Step-by-step explanation:

the angle C is the opposite angle to that of 85 degrees, therefore congruent, we subtract 85 x 2 ° from the sum of the angles (360 °, is a round angle) and find the sum of the other two angles, always opposite and increasing, divide by two and we have the value of the angle B

C = 85°

B = [360 - (85 * 2)] : 2

B = (360 - 170) : 2

B = 190 : 2

B = 95°

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

check

85 + 85 + 95 + 95 = 360°

the answer is good

Using the midpoint formula, the coordinates of point U are: (9, 2).

The midpoint formula is: M[(x2 + x1)/2, (y2 + y1)/2]

Given the following:

Midpoint of TU is at: M(5,5)

Point T is at (1, 8), therefore, let:

M(5,5) = (x, y)

T(1, 8) = (x1, y1)

U(?, ?) = (x2, y2)

Plug in the values

M(5, 5) = [(x2 + 1)/2, (y2 + 8)/2]

5 = (x2 + 1)/2

10 = x2 + 1

10 - 1 = x2

9 = x2

x2 = 9

5 = (y2 + 8)/2

10 = y2 + 8

10 - 8 = y2

2 = y2

y2 = 2

The coordinates of point U are: (9, 2).

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The smallest integer solution to the inequality 6x+2>2x+23 is 6.

What is an inequality?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

Given, the inequality is 6x+2>2x+23

⇒ 6x-2x > 23-2

⇒ 4x > 21

⇒ x >21/4

⇒ x > 5.25

Hence, the smallest integer satisfying the inequality would be 6.

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The type of p-value indicates statistically significant results is a small p-value. (option b).

The p-value represents the probability of observing the data or results of an experiment, assuming that the null hypothesis is true.

A small p-value, typically less than 0.05 (or 5%), indicates that the probability of obtaining the observed results by chance alone, assuming the null hypothesis is true, is low. Therefore, it suggests that the results are statistically significant, and the null hypothesis can be rejected.

On the other hand, a large p-value, typically greater than 0.05 (or 5%), indicates that the probability of obtaining the observed results by chance alone, assuming the null hypothesis is true, is high. Therefore, it suggests that the results are not statistically significant, and the null hypothesis cannot be rejected.

In summary, a small p-value indicates that the results of the experiment are statistically significant, while a large p-value suggests that they are not.

Hence the correct option is (b).

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Answer:

If x is the required number, equation will be 9+4x=8

Answer:

24×1 equal 24 and multiply it by 1/6 is 24/6 and simplifying it would make 4.

answer=4

not sure if this is what u want

Step-by-step explanation:

hope it helps

Answer:

they charge in ton. i dont know the second question

Step-by-step explanation:

Answer:

9.23 x 10^9

Step-by-step explanation:

Components of the unit vector are (cos(156), sin(156)) = (-0.41, 0.91). Drawing a vector with a positive y-component and an angle of 156 degrees with the x-axis in the xy plane will help you see it.

The unit vector has a positive y component and is located in the xy plane at a 156 degree angle to the x axis. Drawing a vector with a positive y-component and an angle of 156 degrees with the x-axis in the xy plane will help you visualise this. Components of the unit vector are (cos(156), sin(156)) = (-0.41, 0.91). This shows that the unit vector has both a positive y-component and a negative x-component. Since the unit vector's magnitude is 1, it has a length of 1, and it points in the same general direction as the 156-degree angle. In light of this, the unit vector is (-0.41, 0.91). Any vector with the same magnitude and direction as the unit vector but a different length can be represented by this vector.

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If sin (α) =(5)/(13) in Quadrant I and cos(β) = (-12)/(13) in Quadrant II, then sin(α + β ) = -120/169 .So, the answer is option 1).

To evaluate sin(α + β), we can use the trigonometric identity:

sin(α + β) = sin α cos β + cos α sin β

First, we need to find cos α. Since sin α is positive and in Quadrant I, we can use the Pythagorean identity to find cos α:

cos α = √(1 - sin² α) = √(1 - (5/13)²) = √(1 - 25/169) = √(144/169) = 12/13

Next, we need to find sin β. Since cos β is negative and in Quadrant II, we can use the Pythagorean identity to find sin β:

sin β = -√(1 - cos² β) = -√(1 - (-12/13)²) = -√(1 - 144/169) = -√(25/169) = -5/13

Now we have all the values we need to evaluate sin(α + β):

sin(α + β) = sin α cos β + cos α sin β

= (5/13)(-12/13) + (12/13)(-5/13)

= -60/169 - 60/169

= -120/169

Therefore, the answer is option 1) -120/169.

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Answer: 1407.5 hours

Step-by-step explanation:

To solve this problem, we first need to convert the time it takes Mercury to complete a full rotation into hours. We can do this by multiplying the number of days by 24 to get the number of hours, and then adding the number of hours and minutes to find the total number of hours. This gives us:

(58 days * 24 h/day) + 15 h + (30 min * 1 h/60 min)

1392 h + 15 h + 0.5 h

1407.5 h

Therefore, it takes Mercury approximately 1407.5 hours to complete a full rotation. This can also be written as 1407.5 hours/rotation or 1407.5 h/rotation.

Answer:

thanks i guess i kind of like you don´t get mad

Step-by-step explanation:

Depending on the value of the definite integral of f(x) calculated between two limits, α and β, the area between two vertical lines can be positive, negative or zero.

The area between two vertical lines is given by the definite integral of a function f(x) calculated between two limits, α and β. In order to determine whether the area is positive, negative or zero, the values of the definite integral of f(x) calculated between two limits, α and β, must be known.

If the value of the definite integral of f(x) calculated between two limits, α and β, is greater than zero, then the area between the two vertical lines is positive. Mathematically, this can be expressed as:

Area = ∫βαf(x)dx > 0

Similarly, if the value of the definite integral of f(x) calculated between two limits, α and β, is less than zero, then the area between the two vertical lines is negative. Mathematically, this can be expressed as:

Area = ∫βαf(x)dx < 0

Lastly, if the value of the definite integral of f(x) calculated between two limits, α and β, is equal to zero, then the area between the two vertical lines is zero. Mathematically, this can be expressed as:

Area = ∫βαf(x)dx = 0

Therefore, depending on the value of the definite integral of f(x) calculated between two limits, α and β, the area between two vertical lines can be positive, negative or zero.

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Answer:

33cm ; 53 cm

Step-by-step explanation:

Let the length of one piece = x cm

Length of the other piece = (x + 20) cm

x + ( x+ 20) = 86 cm

x + x + 20  = 86

     2x + 20 = 86

              2x = 86- 20

             2x = 66

               x = 66/2

                x = 33 cm

Length of the longer piece = x + 20 = 33 +20 = 53 cm

Answer:

Distributive property

Step-by-step explanation:

-3/4*5/4-(-6/7)*(-3/4)

-15/16-(18/28)

-15*7-18*4/112

-105-72/112

-177/112

Assosiative property will be used here;

= [-3/4] × 5/4 - 6/7 × [-3/4]

= [-3/4 × 5/4] - [6/7 × -3/4]

= -15/16 - [-18/28]

= -15/16 + 18/28

=( -105+72)/112

= -33/112

The interval for the number of people who are likely to want the restaurant in their city is (70,453, 138,650).

To find the interval for the number of people who are likely to want the restaurant in their city, we need to calculate the range of values based on the given percentage range and the total population.

We have,

Percentage range: (32%, 63%)

Total population: 220,190 people

So, Lower bound = 0.32 x 220,190 = 70,452.8

and, Upper bound = 0.63 x 220,190 = 138,649.7

Therefore, the interval for the number of people who are likely to want the restaurant in their city is (70,453, 138,650).

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The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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Answer: Eddie had lunch later than Fatimah.

Step-by-step explanation: Eddie had lunch at 10 minutes to one, which is 12:50. Fatimah had lunch at 11:45. So if you subtract 11:45 from 12:50, you find that Eddie had lunch 1:05 later than Fatimah.

Answer:

Eddie had lunch later.

He had lunch 1 hour 5 minutes later

Step-by-step explanation:

Eddie had lunch 10 min before 1

which means at 12 50.

Fatimah had lunch at 11 45 . Earlier than Eddie.

Eddie had lunch after her.

and How much later?

11 45 to 12 45 is 1 hour.

12 45 plus 5 minute is 12 50.

so it is 1 hour 5 minute

I DONT SPEAK ENGLISH, I'M BRAZILLIAN

Answer:

brainllest if right

b

Step-by-step explanation:

The total price of 2 bags of apples and 3 bags of oranges can be calculated by adding 2 times the price of a bag of apples to 3 times the price of a bag of oranges.

To determine the total price of 2 bags of apples and 3 bags of oranges, you need to know the price per bag of apples and the price per bag of oranges. Let's assume the price per bag of apples is $A and the price per bag of oranges is $O.

The total price of 2 bags of apples would be 2 * A, and the total price of 3 bags of oranges would be 3 * O. To find the overall total price, you can simply add these two amounts together:

Total price = (2 * A) + (3 * O)

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Step-by-step explanation:

you must have left out important pieces of the equation.

what I can see and therefore solve is

-G + 2 = -12

-G = -14

G = 14

Answer:

a) rs 3000

b) rs 16800

a) rs 1600

b) rs 4000