Do you have an insatiable craving for chocolate or some other food? since many north americans apparently do, psychologists are designing scientific studies to examine the phenomenon. According to the survey, it was revealed that 97% of the women in the study acknowledged specific food cravings while only 67% of the men did. Assume that 600 of the respondents were women and 400 were men. Find and interpret the 90% confidence interval for the difference between the population proportions.

Compared to the average daily temperature in August, the average temperature in December dropped by 50%.

The difference between two numbers can be expressed as a percentage of the original value using the term "percentage change." To track changes in factors like prices, sales, and economic growth, it is frequently used in business, finance, and economics.

To calculate the percent change between two values, we use the formula:

Percent change = [(new value - old value) / old value] x 100%

The old value in this case represents the typical daily temperature for August, whereas the new value represents the typical daily temperature for December.

Percent change = [(37 - 74) / 74] x 100%

Percent change = (-37 / 74) x 100%

Percent change = -0.5 x 100%

Percent change = -50%

Therefore, the average daily temperature in December decreased by 50% compared to the average daily temperature in August.

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Yes, the set D is a subset of set A that is D⊂A because all the elements of set D are present in set A.

Universal set is,

U={1,2,3,4,5,6,7,8,9,10,11,12}

Element present in different set are as follow,

Set A = {1,2,3,4,6,12}

Set B={2,4,6,8,10,12}

Set C={1,3,5,7,9,11}

Set D={2,4,6}

D is a subset of A.

If and only if all the elements of set D are also present in set A.

Element of set  D = {2, 4, 6}

Element of set A = {1, 2, 3, 4, 6, 12}

All the elements of D, namely 2, 4, and 6, are also present in set A.

This implies,

D is a subset of A.

It is denoted as D ⊂ A.

Therefore, yes D is subset of A ' D⊂A'  as all the element of set D are in set A.

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Answer:

The Great Chicago Fire was a conflagration that burned in the American city of Chicago during October 8–10, 1871. The fire killed approximately 300 people, destroyed roughly 3.3 square miles (9 km 2) of the city, and left more than 100,000 residents homeless. The fire began in a neighborhood southwest of the city center.

Step-by-step explanation:

Origin

The fire is claimed to have started at about 8:30 p.m. on October 8, in or around a small barn belonging to the O'Leary family that bordered the alley behind 137 DeKoven Street.

Spread

When firefighters finally arrived at DeKoven Street, the fire had grown and spread to neighboring buildings and was progressing toward the central business district.

Aftermath

Once the fire had ended, the smoldering remains were still too hot for a survey of the damage to be completed for many days. Eventually, the city determined that the fire destroyed an area about 4 miles (6 km) long and averaging ⁄4 miles (1 km) wide, encompassing an area of more than 2,000 acres (809 ha).

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Answer:

x=<15.28947

Step-by-step explanation:

0.38x<25-20.81

0.38x <5.81

0.38x÷0.38 < 5.81÷0.38

x <15.28947

Answer:

the first answer choice / -3(5x-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

First of all, I have a strong feeling that that is supposed to be

\(log_2(32)=y\) so I'm going to go with that. We can solve for y by rewriting that in exponential form. Exponential form and log form are inverses of each other. If the log form of an equation is

\(log_b(x)=y\), the exponential form of it is

\(b^y=x\). We will apply that here to solve for y:

\(2^y=32\)

which is asking us, "2 to the power of what equals 32?". We can use our calculator to raise 2 to consecutive powers til we reach the one that gives us a 32, or we could solve it by writing the 32 in terms of a 2:

\(2^y=2^5\)

Since both bases are the same, 2, then the exponents are equal to one another. y = 5. This is an important rule to remember while solving either log or exponential equations.

Answer:

x² + 8x + 15

Step-by-step explanation:

(x +3)(x+5)

=> x² + 5x + 3x + 15

=> x² + 8x + 15

So, after simplifying, we can conclude that x² + 8x + 15 is our answer. Hoped this helped.

Tyler charges $8 for an adult ticket.

It is given that Tyler charges $t for adult tickets and $5 for child tickets.

No. of tickets sold by him on Monday is 12 child tickets and 9 adult tickets.

No. of tickets sold by him on Tuesday is 20 child tickets and 4 adult tickets.

Therefore,

Tyler earned $12 X 5 + $9 X t on Monday

= $9t + $60

Tyler earned $20 X 5 + $4 X t on Tuesday

= $4t + $100

According to the problem, the earnings on both the days are same. Hence we get the linear equation as follows

9t + 60 =  4t + 100

bringing all the variables, i.e t's to LHS and constants to RHS we get

9t - 4t = 100 - 60

or, 5t = 40

Bringing 5 to RHS we get

t = 40/5

or, t = 8

Therefore, t = $8

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Answer:

im good :)

Step-by-step explanation:

its so annoying how teachers give hw on breakss

One possible transformation is a reflection in the x-axis followed by a dilation centered at the origin with a scale factor of 3.

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

Before the dilation, the figure was reflected from the first quadrant to the second quadrant, which is a lateral reflection, hence the figure was reflected over the x-axis.

The height of the blue triangle is of 1 unit, while the height of the larger triangle is of 3 units, hence the scale factor is given as follows:

k = 3/1

k = 3.

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Answer:

.2 cups of cheese

Step-by-step explanation:

Answer:

0.2

Step-by-step explanation:

Answer: 591 hours

Step-by-step explanation:

First find out what 2/3 of the water is:

= 2/3 * 24,000

= 16,000 gallons

650 gallons are used per day so the time it takes in days to use the above is:

= 16,000 / 650

= 24.62 days

There are 24 hours in a day. The amount of time it will take to use this amount of water in hours is:

= 24.62 * 24

= 590.88

= 591 hours

Answer:

step 1: x+50+4x=90

the angle of a right-angled triangle is 90 degrees, therefore if we add everything together ,we could work out what x is.

step 2: x+50+4x=90

                  x+4x=50

                      5x=50

                        x=10

then you solve the equation, x is 10

Answer:

3x²

Step-by-step explanation:

1) Find the pattern

In the grid we can see that each opposite terms multiply to get the space in the grid. Example: there was -3 and 3x so to fill in the grid the question has multiplied them together which got -9x

To apply it into the question we are given we need to multiply the x and the 3x to give the answer

2) Find the answer!

As we have figured out that you need to multiply we need to do so!

Hope this helps, have a great day!

Answer:

70 percent of 500 would equal to 14 percent!

Step-by-step explanation:

Answer:

the other 3 sides are 125,55 and 55 - hope this helped :)

Step-by-step explanation:

side 1 = 125

side 2 = 125

side 3 and 4 = ?

360 - 250 = 110

110/2 = 55

side 3 and 4 = 55

Answer: The answer is 37

Step-by-step explanation:

If you subtract 71 from 108 the answer is 37

Since the angles of (x + 71)º is opposite to the same vertex to the angle of 108º, it is found that x = 37º.

Applying the equality:

\(x + 71 = 108\)

\(x = 108 - 71\)

\(x = 37\)

Thus, x = 37º.

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Answer:

f(x) is the blue graph, g(x) is the red graph.

x^2 - 3x + 17 - (2x^2 - 3x + 1) = 16 - x^2

16 - x^2 = 0 when x = -4, 4

So the area between these two graphs is (using the TI-83 graphing calculator):

fnInt (16 - x^2, x, -4, 4) = 85 1/3

To determine the number of receptacles required for the bathroom counter space, we need to refer to the electrical code guidelines. The specific requirements may vary depending on the country or region, as well as the local electrical codes in place.

In the United States, according to the National Electrical Code (NEC), at least one 20-ampere-rated branch circuit is required to serve the bathroom receptacles. The code specifies that this circuit should be dedicated solely to the bathroom receptacles and should not serve any other areas.

The NEC also states that at least one receptacle outlet is required on the bathroom countertop. This receptacle should be located within 3 feet of the outer edge of the countertop and should be installed above the countertop surface. This means that a receptacle needs to be placed within reach of the bathroom counter space.

Considering the given information that the bathroom counter space is seven feet, including the sink, we need to install at least one receptacle outlet on the countertop within 3 feet of the outer edge. Depending on the specific layout and size of the counter space, additional receptacles may be required to meet the code's requirements for accessibility and convenience.

To ensure compliance with local electrical codes and safety standards, it is advisable to consult with a licensed electrician or refer to the specific electrical codes applicable in your area. They will be able to provide accurate guidance based on the local requirements and regulations.

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There are no vectors among the options provided that are parallel to (1²2).

To determine if two vectors are parallel, we can compare their direction ratios.

Two vectors are parallel if their direction ratios are proportional.

Let's compare the given vector (1²2) with each of the options provided:

Vector (7²) (12²) (-22) (3) 12/ (ő) 4 24 3 13/​:

Comparing the direction ratios, we have:

1/7 = 2/12 = 2/-22 = 3/4 = 24/3 = 12/13.

Since the direction ratios of the given vector (1²2) are not proportional to the direction ratios of any of the options, none of the options are parallel to (1²2).

summary, none of the vectors (7²) (12²) (-22) (3) 12/ (ő) 4 24 3 13/​ are parallel to the given vector (1²2).

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This information portrays an assortment of geometric shapes and structures, including triangles and quadrilaterals.

The following components are featured:

Triangle Inequality: Triangle ABC embodies the triangle inequality principle which conveys that the sum of any two sides in a triangle must be longer than the third side's length.

Congruent Triangles: As demonstrated by their corresponding tick marks, triangles DEF and GHI display exceptional conformity, representing identical size and shape.

Quadrilateral: Quadrilateral JKLM precisely exhibits trapezoid characteristics, with one pair of parallel sides and one couple of non-parallel edges.

Additional Shapes: Additionally, the example also includes diverse other geometrical figures, like circles, rectangles as well as a pentagon.

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A line segment that connects a circle, sphere, or other shape's center to its perimeter or border. Radius: 12 units

According to the Pythagorean Theorem, a right triangle's hypotenuse (the side opposite the right angle) or, using conventional algebraic notation,\(a^{2} + b^{2} = c^{2}\)

The Greeks established the existence of numbers that could not be expressed as rational numbers thanks to Pythagoras' theorem. For instance, if we assume that the two shorter sides of a right triangle are 1 and 1, we are left with a length hypotenuse that is not a rational number.

By Pythagoras theorem-

\(adjacent side^{2} + opposite side^{2} = hypotenuse^{2}\)

35= opposite side

r= adjacent side

25+r= hypotenuse

\((25+r)^{2} = 35^{2} + r^{2}\\ 665 + r^{2} + 50r = 1225 + r^{2} \\50r = 600\\r=12 units\)

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Answer:

K> - 33

Step-by-step explanation:

38-k<5-2k

38-5<-2k+k

-k<33

K> - 33

Answer:

A: 42

Step-by-step explanation: 10.5x4=42

Answer:

your answer is A 42

Step-by-step explanation:

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The value of c for which the limit of the function does not exist is given as follows:

c = -2.

The limit of a function will not exist if a function has different lateral limits, that is, if the to the right of x = c the graph has a different numeric value than to the left of x = c.

For this problem, we look at the graph at x = -2, hence:

This means that the function has different lateral limits, hence the limit of the function does not exist for c = -2.

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The variance of the given returns is approximately 0.1475. The variance measures the dispersion or variability of the returns from the mean return.

To calculate the variance, we need to follow a few steps:

Calculate the mean (average) return:

Mean = (Year 1 + Year 2 + Year 3 + Year 4) / 4

= (16% + 6% + (-25%) + (-3%)) / 4

= -6% / 4

= -1.5%

Calculate the squared deviations from the mean for each year:

Deviation from mean for Year 1 = 16% - (-1.5%) = 17.5%

Deviation from mean for Year 2 = 6% - (-1.5%) = 7.5%

Deviation from mean for Year 3 = -25% - (-1.5%) = -23.5%

Deviation from mean for Year 4 = -3% - (-1.5%) = -1.5%

Square each deviation:

Squared deviation for Year 1 = (17.5%)^2 = 0.0306

Squared deviation for Year 2 = (7.5%)^2 = 0.0056

Squared deviation for Year 3 = (-23.5%)^2 = 0.5525

Squared deviation for Year 4 = (-1.5%)^2 = 0.000225

Calculate the average of the squared deviations:

Variance = (0.0306 + 0.0056 + 0.5525 + 0.000225) / 4

= 0.589925 / 4

≈ 0.1475

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The graph that represents the situation is required.

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Graphs are a popular tool for graphically illuminating data connections. A graph serves the objective of presenting facts that are either too many or complex to be fully expressed in the text while taking up less room.

Here the  X- axis denotes the number of hours and

Y- axis denotes the pounds of ice.

The given ordered pair is

\(\left(\frac{1}{2}, 1 \frac{1}{2}\right)=(0.5,1.5)\)

At zero hours the ice produced will be zero so, the third and fourth options are incorrect.

The only graph where the line passes through (0.5,1.5).

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Answer:

B can make tons more

Step-by-step explanation:

1/9   123456789    (+9)

multiples of 11 11 22 33 44 55 66  77 88 99    (+9)

9+9=18

A=18

B=

213

438

SO MANY MORE

B=more

Answer:

\({ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}\)

The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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