which one is bigger, 0.429 or 0.492

The symbols p,x, and s represent sample statistics.

- p (pronounced "p-hat") is the sample proportion. It is used to estimate the population proportion. It is computed as the number of successes in the sample divided by the sample size.

-x (pronounced "x-bar") is the sample mean. It is used to estimate the population mean. It is computed as the sum of all the values in the sample divided by the sample size.

- s is the sample standard deviation. It is used to estimate the population standard deviation. It measures how spread out the data is in the sample. It is computed as the square root of the sum of the squared deviations from the sample mean divided by the sample size minus one.

These sample statistics are used to make inferences about the corresponding population parameters, which are denoted by Greek letters such as μ (mu) for the population mean and σ (sigma) for the population standard deviation.

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Answer:

Step-by-step explanation:

The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.

To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:

[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]

R2 - 3R1 -> R2
R3 -> R3 + 2R1

[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]

-1/2R2 -> R2

[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]

R3 - R2 -> R3

[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]

We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:

[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]

Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.

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The statement that shows equivalent measurements is "52 meters = 520 decimeters." Option C.

To determine the equivalent measurements, we need to understand the relationship between different metric units.

In the metric system, each unit is related to others by factors of 10, where prefixes indicate the magnitude. For example, "deci-" represents one-tenth (1/10), "centi-" represents one-hundredth (1/100), and "kilo-" represents one thousand (1,000).

Let's analyze each statement:

5.2 meters = 0.52 centimeters: This statement is incorrect. One meter is equal to 100 centimeters, so 5.2 meters would be equal to 520 centimeters, not 0.52 centimeters.

5.2 meters = 52 decameters: This statement is incorrect. "Deca-" represents ten, so 52 decameters would be equal to 520 meters, not 5.2 meters.

52 meters = 520 decimeters: This statement is correct. "Deci-" represents one-tenth, so 520 decimeters is equal to 52 meters.

5.2 meters = 5,200 kilometers: This statement is incorrect. "Kilo-" represents one thousand, so 5.2 kilometers would be equal to 5,200 meters, not 5.2 meters.

Based on the analysis, the statement "52 meters = 520 decimeters" shows equivalent measurements. So Option C is correct.

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Note the correct and the complete question is

Select the statement that shows equivalent measurements.

A.) 5.2 meters = 0.52 centimeters

B.) 5.2 meters = 52 decameters

C.) 52 meters = 520 decimeters

D.) 5.2 meters = 5,200 kilometers

Answer:

B) 32 degrees

Step-by-step explanation:

Firstly, identify that the sum of the interior angles of a triangle always equals 180 degrees. By looking at the side of angle A and C, we notice they are equal, which means the measure of the angles are equal. So 74 degrees plus 74 degrees equals 148 degrees. 180 degrees minus 148 degrees equals 32, which is the measure of angle B. Let me know if you have any further questions.

Answer:

y = -8/15

Step-by-step explanation:

log (4y + 1) = log (y - 7) - 2log2

log (4y + 1) = log (y - 7) - log2² (power law)

log (4y + 1) = log [(y - 7)/4]

4y + 1 = (y - 7)/4 (remove log)

4(4y + 1) = y - 7

16y - y = -8

15y = -8

y = -8/15

The mean mass of the three pieces of silicon is 1.104 g when rounded to the correct number of significant figures.

To calculate the mean mass, you need to add up the individual masses and then divide the sum by the total number of measurements. In this case, you have three measurements: 1.122 g, 1.08 g, and 1.11 g.

Adding these values together gives you a sum of 3.312 g. To find the mean, you divide this sum by the total number of measurements, which is 3. So, 3.312 g divided by 3 equals 1.104 g.

Since the least precise measurement given has two decimal places (1.08 g), the mean mass should also be rounded to two decimal places. Therefore, the mean mass of the three pieces of silicon is 1.104 g when rounded to the correct number of significant figures.

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Therefore, Lisa walked 13,000 meters each day of her 52 km hike.

Distance is the term used to describe an object's complete motion, excluding direction. Regardless of the position of an object's starting or conclusion, the amount of land it covers can be conceived of as distance.

To find how many meters Lisa walked each day, we need to convert the total distance of 52 km to meters and then divide by the number of days.

1 km is equal to 1000 meters, so 52 km is equal to:

52 km × 1000 m/km = 52,000 meters

Dividing this by the number of days, which is 4, we get:

52,000 meters / 4 days = 13,000 meters/day

Therefore, Lisa walked 13,000 meters each day of her 52 km hike.

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The sum of all edges of the regular quadrilateral Pyramid is approximately 66.68 cm.

The sum of all edges of a regular quadrilateral pyramid, we need to determine the number of edges in the pyramid and then calculate their total length.

A regular quadrilateral pyramid has a base that is a regular quadrilateral, meaning all sides of the base have the same length. Let's assume that each side of the base has a length of "a" cm.

The perimeter of the base is given as P = 30 cm, so each side of the base measures 30 cm divided by 4 (since there are four equal sides) which is 7.5 cm.

Now, let's consider the lateral face of the pyramid. A regular quadrilateral pyramid has four lateral faces, each of which is an isosceles triangle. The perimeter of a lateral face is given as 27.5 cm. Since there are three edges in each lateral face, the length of each edge is 27.5 cm divided by 3, which is approximately 9.17 cm.

Therefore, the sum of all the edges in the pyramid is calculated as follows:

Sum of edges = (4 × a) + (4 × 9.17)

Since we know that each side of the base (a) is 7.5 cm, we can substitute this value into the equation:

Sum of edges = (4 × 7.5) + (4 × 9.17)

            = 30 + 36.68

            = 66.68 cm

Hence, the sum of all edges of the regular quadrilateral pyramid is approximately 66.68 cm.

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Answer:

$28.80

Step-by-step explanation:

Find how much they will actually pay by multiplying 36 by 0.8:

36(0.8)

= 28.8

So, they would pay $28.80

Answer:

94hhfgkifc llo gfc bbn jdcjkydcjkufv

There has been an increase in Wanda savings by $127.49 after 3 years

The standard exponential equation is expressed as y = ab^x. They are inverse of logarithmic function.

For a deposit that earns 4% interest in its value after 3 years, we can determine the final amount on money invested using the formula below;

P(t) = P0e^rt

where

Given the following parameters

P0 = $1000

r = 4% = 0.04

t = 3 years

Substitute

P(t) = 1000e^3(0.04)

P(t) = 1127.49

Interest = 1127.49 - 1000

Interest = 127.49

This shows that there has been an increase in Wanda savings by $127.49 after 3 years

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Answer:

D.) II and III

Step-by-step explanation:

All rational numbers are real, but not all real numbers are rational. All whole numbers are integers, so since 0 is a whole number, 0 is also an integer, and In mathematics, whole numbers are the basic counting numbers.

Hope this helps!

Please name brainliest if possible!

Answer:

Step-by-step explanation:

4 x 14= 56

Answer:

c

Step-by-step explanation:

Because I did it in a calculator

Both vertex angles will be same as its an isosceles triangle

Let each be x

According to angle sum property

\(\\ \sf \longmapsto x+x+50=180\)

\(\\ \sf \longmapsto 2x+50=180\)

\(\\ \sf \longmapsto 2x=180-50\)

\(\\ \sf \longmapsto 2x=130\)

\(\\ \sf \longmapsto x=\dfrac{130}{2}\)

\(\\ \sf \longmapsto x=60°\)

ANSWER

sin ∠D = 0.86

EXPLANATION

The sine of an angle of a right triangle is:

This is triangle DEF:

So the sine of angle D is side EF divided by side DE:

Cindy will take 0.25 hours or 15 minutes to travel a distance of 2 miles at a constant speed of 8 miles per hour.

The formula for time is: time = distance / speed where "distance" is the distance traveled by an object, and "speed" is the rate at which the object is moving.This formula can be used to calculate the time taken by an object to travel a certain distance at a constant speed, or to calculate the speed or distance if the other two variables are known.

The formula for speed is: speed = distance / time where "distance" is the distance traveled by an object and "time" is the duration of travel.This formula can be used to calculate the speed of an object if the distance it has traveled and the time it took to travel that distance are known. It can also be used to calculate the distance traveled by an object if its speed and the time it traveled at that speed are known.

In the given question,

We can use the formula:

time = distance / speed

where "distance" is the distance traveled and "speed" is the speed at which Cindy is riding her bike.

Substituting the given values, we get:

time = 2 miles / 8 miles per hour

Simplifying, we get:time = 0.25 hours.

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Answer:

1) yes

2) yes

3) no

Answer:

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

First, plot the points and connect together in the given order.

See attached.

As we can see all sides are of different length but two sides seem to be parallel.

Let's find the slopes of segments BC and AD and compare:

As se see the slopes are same, so BC and AD are parallel.

Since we have a pair of parallel sides, the quadrilateral is a trapezoid.

Answer:

y=-(-32)=3×(x-(-8)

Step-by-step explanation:

point slope form is y-y1=m(x-x1)

Answer:

50°

Step-by-step explanation:

(7x+1)+(18x+4)=180

x=7

Answer:

1. 62

2. 13

3. 6

4. 44

5. 3

6. 14

7. Step 1

8. Step 3

Step-by-step explanation:

Work for #1

32÷4×8-2

8×8-2

64-2

62

Work for #2

20÷2+3

10+3

13

Work for #3

\(\frac{1}{2}\) ×24÷3+2

12÷3+2

4+2

6

Work for #4

2×(3+8)-4

2×24-4

48-4

44

Work for #5

(4+6÷3)×\(\frac{1}{2}\)

(4+2)×\(\frac{1}{2}\)

6×\(\frac{1}{2}\)

3

Work for #6

21÷3+(8-1)

21÷3+7

7+7

14

Explanation for #7

Step 1

This is because in PEMDAS, you do multiplication before subtraction. In the first step, they did subtraction before multiplication.

Explanation for #8

Step 3

This is because in PEMDAS, you do multiplication before subtraction. In the first step, they did subtraction before multiplication.

Hope this helps!

Answer:

229.18 degrees

Step-by-step explanation:

The circumference of a circle with radius r is 2×pi×r.

So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.

So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.

There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.

689 are over the age of forty in the population proportion of customers.

A confidence interval represents a range of approximations for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specified confidence level; a 95% confidence level often is commonly used, but some other levels, including 90% as well as 99%, are occasionally employed.

There is a degree of confidence that the confidence interval must include the real value between the upper and lower boundaries. The confidence level is usually equal to one less the degree of significance.

The margin of error = 0.01

The sample size is,

n = (((\(Z_{\alpha /2}\))² × p(1 - p)) ÷ ε²)

where ε is the margin of error,

n = (((2.576)² + 0.5(1 - 0.5)) ÷ (0.10)²)

n = 688.57 ≈ 689

Therefore, the required number of customers is 689.

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Answer:

\(q > 20\)

Step-by-step explanation:

\( - q < - 13 - 7\)

\(q > 20\)

Answer: d. y= -2 2x+y= -3

Step-by-step explanation: Hope this help :D

Answer:

\(v = \pi {r}^{2} \frac{h}{3} = 14 \times 14 \times 3.14 \times \frac{18.9}{3} = 3877.272\)

Answer:

counting by 6's

so it would be 69 next if your talking about the left side

or 39 if your talking abt the right side

Hope this helps!