Name the relationship: complementary, or supplementary.

Answer:

(0.55, 0.75)

Step-by-step explanation:

The standard deviation and range are both used to measure the spread of a data set. The number of the range and standard deviation gives us information in its own way how spaced out the data are due to the fact that they are both a measure of variation. However, there is not an explicit relationship between the range and standard deviation, there is a rule of thumb that can be useful to relate these two statistics. This relationship is sometimes referred to as the range rule for standard deviation.

The range is estimated to be 6 standard deviations wide.  Therefore, the standard deviation is:

Standard deviation= maximum sample proportion - minimum sample proportion / 6

σ = (0.72 - 0.42) / 6

σ = 0.05

The margin of error is defined as a statistic showing the amount of random sampling error in the result of a survey. The greater the margin of error, the lesser the confidence that a poll result would reflect the result of a survey of the entire population.

Here, the margin of error is ±2σ, so:

ME = ±0.10

Interval estimation in statistics is the use of sample data to compute an interval of possible values of an unknown population parameter. This is therefore in contrast to point estimation, which gives a single value.

Therefore, the interval estimate is:

(0.65 - 0.10, 0.65 + 0.10)

(0.55, 0.75)



Answer:

[tex]d = |h - 0\,ft|[/tex], The driver is 350 feet below sea level.

Step-by-step explanation:

The distance of the driver from the sea level is given by the following expression:

[tex]d = |h - 0\,ft|[/tex]

[tex]d = |-350\,ft-0\,ft|[/tex]

[tex]d = |-350\,ft|[/tex]

[tex]d = 350 \,ft[/tex]

The driver is 350 feet below sea level.

Answer:

Driver is 350 Below sea Level

Step-by-step explanation:

Driver has Elevation of -350 meters, negative indicates below sea level.

Therefore it can be inferred that the driver is 350 below sea level.

Answer:

X = 1.183

Step-by-step explanation:

X/6.5=0.1820

Multiply each side by 6.5

X/6.5 * 6.5=0.1820*6.5

X = 1.183

Answer:

Domain of the function is (inf, -inf)

Step-by-step explanation:

N equals 78

The equation: (56+n)/2 - 40=27

Add 40 to 27=67

Multiply everything by 2 leaving you with 56+n=134

Subtract 56 from 134

Leaves you with n=78

If you plug it in you would get 67-40, which equals 27

Final answer:

The rate at which the tip of the shadow is moving away from the pole when the person is 25 ft from the pole is 0 ft/sec. The rate at which the tip of the shadow is moving away from the person when the person is 25 ft from the pole is 0 ft/sec.

Explanation:

To solve for the rates at which the tip of the shadow is moving away from the pole and from the person, we can use similar triangles and related rates. Let's solve each part step by step:

a. Rate the tip of the shadow is moving away from the pole:

We have a right triangle formed by the pole, the person, and the tip of the shadow. Let x be the distance between the person and the tip of the shadow.

Since the person is moving away from the pole at a rate of 2 ft/sec, dx/dt = 2 ft/sec.

Using the similar triangles, we have:

(12 ft + 5.5 ft) / x = 12 ft / (x + 25 ft)

Simplifying the equation gives:

17.5x + 437.5 = 12x + 300

5.5x = 137.5

x = 25 ft

Now, let's differentiate both sides of the equation with respect to time t:

17.5 (dx/dt) = 12 (dx/dt) + 0

17.5 (dx/dt) - 12 (dx/dt) = 0

5.5 (dx/dt) = 0

dx/dt = 0 ft/sec

So, the rate at which the tip of the shadow is moving away from the pole when the person is 25 ft from the pole is 0 ft/sec.

b. Rate the tip of the shadow is moving away from the person:

Using the similar triangles, we have:

(12 ft + 5.5 ft) / x = 5.5 ft / 25 ft

Simplifying the equation gives:

17.5x = 137.5

x = 7.857 ft

Now, let's differentiate both sides of the equation with respect to time t:

17.5 (dx/dt) = 5.5 (dx/dt) + d(7.857)/dt

12 (dx/dt) = d(7.857)/dt

dx/dt = (d(7.857)/dt) / 12

dx/dt = (0 ft/sec) / 12

So, the rate at which the tip of the shadow is moving away from the person when the person is 25 ft from the pole is 0 ft/sec.

Answer:

[tex]cos(G)=\frac{28}{53}[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle EFG

[tex]cos(G)=\frac{GF}{EG}[/tex] ----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

[tex]cos(G)=\frac{28}{53}[/tex]

Answer:

I'm newbie here

Step-by-step explanation:

Elimination Method.

4x + 6/y = 15 → step 1

6x - 8/y = 14 → step 2

so,

4x + 6/y = 15 |×6|

6x - 8/y = 14 |×4|

24x + 6/y(6) = 90

24x - 8/y(4) = 56

24x + 36/y = 90

24x - 32/y = 56

____________ _

68/y = 34

68 = 34y

34y = 68

y = 2

subsitution y = 2 to..

4x + 6/y = 15

4x + 6/2 = 15

4x + 3 = 15

4x = 12

x = 3

So, for x is 3, and for y is 2

Answer:

x = 3, y = 2

Step-by-step explanation:

Multiply equation 1 by -6

-24x - 36/y = -90

Multiply equation 2 by 4

24x - 32/y = 56

Add the two equations:

-36/y - 32/y = -34

-68/y = -34

y = -68/-34

y = 2

4x + 6/2 = 15

4x = 15 - 3

4x = 12

x = 3

Answer:

170°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2)

Here n = 36, thus

sum = 180° × 34 = 6120°

The size of each interior angle = [tex]\frac{6120}{36}[/tex] = 170°

Final answer:

The sum of the measures of each interior angle of a regular 36-gon is 6120 degrees.

Explanation:

For a regular 36-gon, or a polygon with 36 sides, we can calculate the sum of the measures of the interior angles using the formula ((n - 2) × 180°), where n is the number of sides. So for a regular 36-gon:

((36 - 2) × 180°) = (34 × 180°) = 6120°.

Therefore, the sum of the measures of each interior angle of a regular 36-gon is 6120 degrees.

Answer:

Her change is $14.25

Step-by-step explanation:

To work this out you would first multiply 3 by 4.75, which comes to  14.25. This is because you are finding the total for the balls of yarn. Then you would multiply 5.75 by 2, which comes to 11.5. Then you would add 14.25 and 11.5, which comes to 25.75. This is because you are now working out how much the total for the purchase is. Then you would multiply 20 by 2, which comes to 40. Then you would minus 25.75 from 40, which comes to 14.25.

1) Multiply 3 by 4.75.

[tex]3*4.75=14.25[/tex]

2) Multiply 5.75 by 2.

[tex]5.75*2=11.5[/tex]

3) Add 14.25 to 11.5.

[tex]14.25+11.5=25.75[/tex]

4) Multiply 20 by 2.

[tex]20*2=40[/tex]

5) Minus 25.75 from 40.

[tex]40-25.75=$14.25[/tex]

Final answer:

To determine Laurel's change, multiply the quantity of each item by its price, add them together, and subtract this total from the amount paid with two 20-dollar bills. The change is $14.25.

Explanation:

The student is asking how to calculate the total cost of items purchased and the change due from a transaction. To find out Laurel's change, we need to multiply the number of each item by its price and then add those amounts together. Subsequently, we subtract the total cost from the amount Laurel pays with.

First, calculate the cost for the balls of yarn. There are 3 balls at $4.75 each:

3 balls times $4.75 per ball = $14.25

Now, calculate the cost for the pairs of knitting needles. There are 2 pairs at $5.75 each:

2 pairs times $5.75 per pair = $11.50

Add the cost of the yarn and knitting needles to get the total:

$14.25 (yarn) + $11.50 (needles) = $25.75

Laurel pays with two 20-dollar bills, which is $40.00 in total. Subtract the total purchase amount from this:

$40.00 - $25.75 = $14.25 change

Answer: d.16 days

Step-by-step explanation:

Hi, using  PERT technique we can calculate the mean by applying the next formula:

Mean = (a + 4m + b)/6

Where:

a = optimistic time

m = most likely time

b = pessimistic time

Replacing with the values given:

Mean = (12 +4 (15) + 24)/6

Solving

m = (12+ 60+24)/6

m= 96/6

m = 16 days

Feel free to ask for more if needed or if you did not understand something.

Answer:

f(-8) = 104

Step-by-step explanation:

f(t) = t^2 - 5t

Let t=-8

f(-8) = (-8)^2  -5(-8)

       = 64 +40

       = 104

Pls mark Brainliest.

Answer:

f(-8) = 104

Step-by-step explanation:

f(-8) = (-8)^2 - 5(-8)

f(-8) = 64 + 40

f(-8) = 104

Answer:

i think it is x=5y

Step-by-step explanation:

Answer:

y - 1 = -1/5(x + 5)

y - 1 = -1/5x - 1

y = -1/5x

Step-by-step explanation:

Answer:

3/8.

Step-by-step explanation:

You didn't give the graph but I just took that test and got it right.

Answer:

B 3/8

Step-by-step explanation:

Final answer:

A function is characterized by having every input paired with exactly one output and by its graph passing the vertical line test. The graph being a straight line or overlapping itself are not definitive characteristics of a function.

Explanation:

The following statements best describe a function:

Not all functions have graphs that are straight lines, nor do their graphs necessarily overlap themselves. A graph can be a function even when it's not a straight line, and overlapping itself would violate the definition of a function where each input must have a unique output.

Answer:

the distance travelled in 3 3/4 hours is 37/8 km

Answer:

  see attached

  angles: 39.8°, 68.2°; side: 8

Step-by-step explanation:

The triangle and its measurements are shown in the attachment.

_____

If you do this with pencil and paper and protractor, likely your angle measurements will only be to the nearest degree.

Answer:

The answer is D

Step-by-step explanation:

Surface Area is the outside part of a shape. Opposite of Volume

To find the area of one side its L x H

So 7 x 7 = 49

Since all the sides of the cube are the same you don't need to figure out the area of the other sides

so 49 x 6 sides = 294

Answer:

SA =294 units^2

Step-by-step explanation:

The surface area of a cube is found by the following

SA = 6 s^2 where s is the side length

SA = 6* 7^2

SA = 6*49

SA =294 units^2

Answer:

18x^2 - 45x + 28 , ( r + 4 )( r + 3 )

Step-by-step explanation:

Heres your answers :)

Answer:

Step-by-step explanation:

Given that an aquarium has exhibits that feature different marine animals.

Also given that [tex]\frac{5}{8}[/tex] of the staff are male.

[tex]\frac{5}{12}[/tex] of the staff works part time at the aquarium

 Let the entire staff is represented by the fraction [tex]\frac{8}{8}[/tex].

[tex]\frac{8}{8}-\frac{5}{8}[/tex]

[tex]=\frac{8-5}{8}[/tex]

[tex]=\frac{3}{8}[/tex]

Since the odds against choosing the lemon-flavored piece wasn't included, let us now assume that it is 2/5

Answer:

The Probability of choosing a lemon-flavored piece is 5/7

Step-by-step explanation:

Please kindly see the attached files for explanation

Answer:

Step-by-step explanation:

2 out of 4 throws:

Let x more throws is made to achieve 75%

Then the equation would be:

Answer:

The 99% confidence interval is (553.7523, 582.2477)

Step-by-step explanation:

The formula for the confidence interval is

[tex]CI=\bar{x}\pm z\frac{s}{\sqrt{n}}[/tex]

Where:

s = Standard deviation

z = t[tex]_{df}[/tex] since the population variance is unknown

df = Degrees of freedom

n = Sample count

Which gives

[tex]568 \pm t_{79}(0.05\%) \frac{48.28}{\sqrt{80} }[/tex]

= 568 [tex]\pm[/tex] 2.64×5.4

(553.7523, 582.2477)

That is there is a 99% chance that the mean weight of a jar of jelly is

553.75 < μ < 582.25.

Answer: A) organized in similar manner adjacent to each other, and are anatomically similar from one person to the next.

The physical organization of the motor cortex and somatosensory cortex, which are located next to one another, is the same in every individual. Hence, Option A is correct.

The brain's cerebral cortex is located on the outside. It looks wrinkled because of the numerous folds on its surface. Numerous deep grooves, or sulci, and elevated regions, or gyri, make up the folds.

These folds increase the surface area of the cerebral cortex, which enables more nerve cells to handle significant amounts of information. A nerve cell's dendrites are the area where a chemical communication from another cell is received. The mass of the brain is roughly divided in half by the cerebral cortex.

There are between 14 billion and 16 billion nerve cells in each of the six layers that make up the cerebral cortex. The brain's gray matter, which is located in the outer layer, is made up of nerve cell bodies, including dendrites, the end of nerves.

Therefore, Option A is correct.

Learn more about cortex from here:

https://brainly.com/question/12993641

#SPJ2

Final answer:

A study by the Annenberg Foundation shows a stark lack of knowledge about the Legislative, Executive, and Judicial branches of the U.S. government. Educational resources can help improve public understanding of these branches, which are pivotal for civic engagement and democratic processes.

Explanation:

The Annenberg Foundation study highlights a concerning lack of knowledge among the U.S. adult population regarding the basic structure of their government. Despite the importance of understanding the three branches of the U.S. government, which include the Legislative, Executive, and Judicial branches, a majority of adults struggle to identify all three.

The Legislative branch is responsible for making laws and is embodied in Congress, which is divided into the House of Representatives and the Senate. The Executive branch, headed by the President, is tasked with implementing and executing the laws passed by Congress. The Judicial branch, represented by the Supreme Court and other federal courts, interprets the laws and adjudicates legal disputes under the law.

Understanding these branches and their functions is critical for civic engagement and informed participation in democratic processes. Educational resources such as videos, games, and government websites can help improve civic knowledge and awareness of the structure and roles of government.

Answer:

360 combinations

Step-by-step explanation:

To calculate the number of different combinations of 2 different flavors, 1 topping, and 1 cone, we are going to use the rule of multiplication as:

              6          *        5             *            4           *          3             = 360

       1st flavor           2nd flavor              topping              cone

Because first, we have 6 possible options for the flavor, then we only have 5 possible options for the 2nd flavor. Then, we have 4 options for the topping and finally, we have 3 options for the cone.

It means that there are 360 different combinations of two different flavors, one topping, and one cone are possible

Answer:

$11.57

Step-by-step explanation:

Let's call the price of the coffee two years ago by X.

The price increased 10% per year (that is, the price is multiplied by 1+0.1=1.1) over two years, so the current price is:

X * 1.10 * 1.10 = X * 1.21

If the current price is $14, we have that:

X * 1.21 = 14

X = 14/1.21 =  11.57

The price of the coffee two years ago was $11.57

Answer:

D) 25.5 cm

Step-by-step explanation:

Circumference = pi × d

20 = 3.14 × d

d = 6.3694267516

Diameter = length of one side

Perimeter of the square = 4s

4(6.3694267516)

25.4777070064 cm

From the options, closest is 25.5