Choose the term that describes the slope of the line of a graph representing the data in the table.
The slope of a line graphed to represent the volume of water in a pool over time would be described as

Answer:

4.5:87

Step-by-step explanation:

First, we can set up an equation because 1.5:29 is equal to 4.5:x

[tex]\frac{1.5}{29} = \frac{4.5}{x}[/tex]

Now, we can solve for x by:

1.5x = 4.5 * 29

1.5x = 130.5

x = 87

The ratio will be 4.5:87

the value of the function at t = 7 is 1723.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given the function: x(t) = 6T³ - 7t²- 6t + 50.

the value of x at t = 7

Substitute the value of t in the given function

x(7) = 6 * 7³ - 7*7² - 6 * 7 +50

x(7) = 1723

Therefore, the value of the function at t = 7 is 1723.

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for the given scenario the distribution is applicable, (a) negative binomial (b) binomial (c) normal (d) exponential (e) Poisson (f) uniform, (g) geometric.

The waiting process is frequently a part of geometric, negative binomial, and exponential random variables; in these cases, the waiting process is continuous until something occurs, rather than a count of trials. (Exponential). Large numbers of independent quantities that are averaged and summed typically have distributions that are close to normal. For observed counts, there are two models: Poisson and binomial. For binomial, there is a predetermined number of trials, leading to a clearly defined maximum count; for Poisson, there is no clearly defined maximum potential count. When there is no evident preference for one interval of distance or time over another such equal-length interval, the distribution is continuous.

We have to identify the best described as binomial, geometric, negative binomial, Poisson, uniform distribution and so on.

(a) X is the sum of the numbers obtained by rolling a die 500 times.

in that case negative binomial distribution suitable choice.

(b)  X is the number, out of the next 15 customers at a clothing store, who are women. the binomial is the best distribution for this condition.

(c) X is the number of murders committed in a city during a week.

 normal distribution.

(d) X is the time of day (measured in hours after midnight) that a meteor strikes Earth.

exponential distribution.

(e)  X is the amount of time that it will take until a call center receives a phone call

Poission distribution.

(f) X is the number of times we drive through an intersection before getting one red light. uniform distribution.

(g)X is the average GPA of 60 randomly chosen UC San Diego students.

 geometric distribution.

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option D 3,125!/(3,125-10)! is the correct expression, because it represents the number of ways to choose 10 people from a group of 3,125 people (without regard to order) and accounts for the fact that each person can win only once.

A. (3,125-10)!/3,125! is not the correct expression, because this would represent the number of ways that 10 people can be chosen from a group of 3,115 people (without regard to order) and doesn't account for the fact that each person can win only once.

B. (3,125-10)! 10!/3,125! is also not the correct expression, because this is the number of ways to choose 10 people out of 3,115 and then arrange them in a specific order of 10 gift cards, and this doesn't account that each person can win only once.

C. (3,125)!/(3,125-10)!10! is also not the correct expression, because this represents the number of ways to arrange 3,125 people, regardless of the fact that only 10 can win, and this doesn't account for the fact that each person can win only once.

Therefore, the correct expression is D. 3,125!/(3,125-10)!

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As a result, when a park's size is 3/5 square miles and its length is 7/8 miles, the park's width is equal to 24/35.

A quadrilateral having four right angles, or rectangle, in Euclidean plane geometry. A quadrilateral that is equiangular, or one in which all of the angles are equal, is another way to describe it. Also possible is a straight angle in the parallelogram. With four sides that are of the same size, a square is a rectangle. Four 90-degree vertices and equal parallel sides make up a quadrilateral with a rectangle-like shape. Its equirectangular rectangle moniker derives from this. The term "parallelogram" also refers to a rectangle, which has equal and parallel opposite sides.

given

Area of a park with a rectangular shape is equal to 3/5 of a mile squared.

A rectangular park is 7/8 of a mile long.

3/5 = 7/8 * Park's rectangular width

As a result, when a park's size is 3/5 square miles and its length is 7/8 miles, the park's width is equal to 24/35.

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Answer:

x =1,69 or x= -0,44

Answer:

36 chocolate bars and 25 yogurt cups were sold

Step-by-step explanation:

c= # of choc. bars sold = y + 11

y = # of yogurt cups sold

3(y + 11) + 5y = $233

3y + 33 + 5y = 233

8y = 200

y = 200/8 = 26

c = y + 11 = 25 + 11 = 36

Answer:

67

Step-by-step explanation:

The given arithmetic sequence is,

203, 199, 195,......

In the sequence, the first time a = 203,

And common difference of the sequence d = -4

Formula for nth term of the sequence,

aₙ = a + (n-1) . d

To find 35th term of the sequence, substitute n= 35,

a₃₅ = 203 + (35-1).(-4)

= 203 + 34x-4

= 203 - 136

= 67

©Thank You

Answered By Solution 49

The set of inequality that most closely resembles the graph below is called y<4 , [tex]$y \geq 4 x-4$[/tex].

Two or more inequalities in one or more variables make up a system of inequalities. When a problem has a variety of possible solutions and those solutions are subject to several constraints, systems of inequalities are used. Inequality in income, gender, health care, and social class are some of the most prominent examples of social inequality.

At position five, there is an open circle with a right arrow. As a result, the compound inequality can be solved, for instance, by the numbers 0 and 6, but not by the number 4. An expression that doesn't contain the equals sign (=) is called an inequality. ,, >, and are the most widely used inequality symbols. Addition, subtraction, multiplication, and division are the four operations kinds that are performed on linear inequalities.

Therefore the correct answer is option A ) y<4 , [tex]$y \geq 4 x-4$[/tex]

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The probability that the entire batch will be accepted, 0.981

Probability is a mathematical term, which can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. The possibility that an event will occur is measured by probability.

Probability of Event = Favorable Outcomes/Total Outcomes = X/n

Given that,

A sample of items is randomly selected without replacement

Entire batch is accepted if every item in the sample is okay

The ABC Electronics Company has just manufactured 2100 write-rewrite CDs

Defective CDs = 180

Probability of entire batch selected = ?

Probability of selecting a first non-defective item = 2087/2100

Probability of selecting a second non-defective item = 2086/2099

Probability of selecting a third non-defective item = 2085/2098

Probability of entire batch selected = 2087/2100×2086/2099×2085/2098

Probability of entire batch selected =   0.981

Hence, the probability will be 0.981

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The value of x in the given inequality is x ≥ 4

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is an inequality, 3x−3 ≥ 9​

Solving for x,

3x−3 ≥ 9​

Adding 3 both the side,

3x -3 + 3 ≥ 9 + 3

3x ≥ 12

Diving both sides by 3,

3x / 3 ≥ 12 / 3

x ≥ 4

Hence, the value of x in the given inequality is x ≥ 4

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Intuitively speaking two events are independents when the occurrence of one event (A) does not exert influence over the event (B)

Symbolic speaking in terms of sets

P(A∩B)= P(A) * P(B)

Examining each alternative

A. Flipping two coins and having one show a head and the other show a head

Independent. Each flipping coin does not exert any influence on the other

B. Being sneezed on and catching a cold

Dependent. This sequence of events expresses cause consequences effects.

C. When rolling a pair of dice, getting a total of 6 and having one die show a 3

Dependent

Under these conditions, the second event is dependent since all we need is a sum of six, having the first dice showing three. The second one has to show three. So it does exert influence under the result.

D. Rolling a 4 on one die and rolling a 2 on another die

Independent. To get a 4 does not exert any influence on getting a 2 on another dice.

E. Seeing clouds and winning the lottery

Independent.

There is no influence seeing clouds and winning the lottery.

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The mean of the population can be calculated by finding the sum of all the heights and dividing it by the total number of observations.

This is also known as the arithmetic mean and can be represented by the formula:

Mean = (Sum of Observations) / (Number of Observations)

In this case, the sum of all the heights is 10,800 and the total number of observations is 100. Therefore, the mean of the population is:

Mean = 10,800 / 100 = 108 inches

To verify this result, we can also look at the histogram. Since the heights are grouped into intervals of 10 inches, the mean should be around the midpoint of the tallest bar, which is 108 inches. This confirms our calculation of the mean.

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The value of the fucntion after differentiating is [tex]-\frac{2}{3} (x^{2} - 4x - 1)\x^{-\frac{5}{3} }(2x - 4)[/tex]

A technique for determining a function's derivative is differentiation. Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables. The most typical illustration is velocity, which is the rate at which a distance changes in relation to time.

Differentiation is the ratio of a slight change in one quantity to a little change in another that depends on the first quantity. Calculus' major emphasis on the differentiation of a function makes it one of the subject's key ideas. Differentiation is the process of determining the maximum or lowest value of a function, the speed and acceleration of moving objects, and the tangent of a curve. If y = f(x) and f(x) is differentiable, then f'(x) or dy/dx is used to indicate the differentiation.

The function is [tex](x^{2} - 4x - 1)\x^{-\frac{2}{3} }[/tex]

After differentiating

[tex]\frac{d}{dx}(x^{2} - 4x - 1)\x^{-\frac{2}{3} }[/tex] = [tex]-\frac{2}{3} (x^{2} - 4x - 1)\x^{-\frac{5}{3} }\frac{d}{dx}(x^{2} - 4x - 1)[/tex]

= [tex]-\frac{2}{3} (x^{2} - 4x - 1)\x^{-\frac{5}{3} }(2x - 4)[/tex]

The value of the fucntion after differentiating is [tex]-\frac{2}{3} (x^{2} - 4x - 1)\x^{-\frac{5}{3} }(2x - 4)[/tex]

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Answer:

12

Step-by-step explanation:

Divide the numbers

(48/2)-1x4^2+2x2

(24)-1x4^2+2x2

*Evaluate the exponent

24-1x4^2+2x2

24-1x16+2x2

*multiply the numbers*

24-1x16+2x2

24-16+2x2

*Again*

24-16+2x2

24-16+4

*add the numbers*

24-16+4=12

Answer:

-4

Step-by-step explanation:

Since this equation uses order of operations, you should solve what's in the parenthesis first.  

48 ÷ 2 = 24

Now you have 24 - 4²2 + 2 × 2.  The next thing to solve in order of operations is exponents, so square 4.  

4² = 16

Now you should have 24 - 16 (2) +2 × 2.  Next is multiplication, so multiply 16(2) and 2 × 2.  

16 × 2 = 32, and 2 × 2 = 4

Now you have 24 - 32 + 4.  This should look a lot more simple now.  Simply do the math from here; doesn't matter how.  

24 - 32 = -8

-8 + 4 = -4

I hope this helped you!  :)

The Sun's rays hit the Earth most directly close to the equator, whereas near the poles they hit at a sharp angle.

This indicates that the tropics are warmer than the poles and that higher latitudes absorb less solar radiation per square centimeter (or inch) of surface area than lower latitudes do.

The incoming solar energy is more direct (almost perpendicular or closer to a 90° angle) when the sun's rays hit the surface of the Earth close to the equator. Warmer temperatures result from the solar radiation being concentrated over a smaller surface area.

Near the equator, the incoming solar radiation impacts the Earth's surface more directly (nearly perpendicular or closer to a 90° angle). Because the sun radiation is concentrated over a smaller surface area, it leads to warmer temperatures.

Since less surface area receives sunlight at the equator than at the poles, it warms up more quickly. Less atmosphere needs to be traveled through at the equator than at the poles.

As a result, the Earth's surface receives more solar heat. The variance in solar energy received at various latitudes affects atmospheric circulation.

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Complete Question -

How is the heat energy per area received from sunlight different at the equator than at the poles?

The value of (hg)(x) would be  4x.

What is the function?

A function is a mathematical relationship between a set of inputs (also known as domain) and a set of possible outputs (also known as range). The inputs are usually represented by variables, such as 'x' in the examples you provided. The outputs are usually represented by expressions, such as 'x² - 8x + 4' in the example f(x) = x² - 8x + 4.

(hg)(x) is the composition of two functions h(x) and g(x). In this case, it would be equivalent to h(g(x)), which means to first apply the function g(x) to the input x, then apply the function h(x) to the output of g(x).

(hg)(x) = h(g(x)) = h(4x - 3) = (4x - 3) + 2 = 4x.

Hence, the value of (hg)(x) would be  4x.

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According to the given statement,  The value of x = -5 / 36.

The x variable is ubiquitous in math and stands for an unknown. It doesn't always have to be an x - any letter of our alphabet can represent an unknown. To work with variables, the first step is to identify the unknown and label it. Next is writing an equation you can solve to find the unknown.

Given: f(x) = x-1 /5

g(x) = 2x + 7

Solving for g(x) = ƒ(x),

2x + 7 = x-1 /5

10x + 35 = 5x - 1

5x = -36

x = -36 / 5

Hence, the value of x for g(x) = ƒ−¹(x) is x = -5 / 36.

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Answer:

a) 12

b) 56

Step-by-step explanation:

In this problem we are asked to plug the given a and b values into the expressions [tex]3b \div (2a - 1) + b[/tex] and [tex]9b+a^4\div8[/tex] then evaluate them.

[tex]a = 2[/tex], [tex]b=6[/tex]

a) [tex]3b \div (2a - 1) + b[/tex]

↓ plug in the given [tex]a[/tex] and [tex]b[/tex] values

[tex]3(6) \div (2(2) - 1) + 6[/tex]

↓ simplify value inside parentheses

[tex]3(6) \div 3 + 6[/tex]

↓ execute multiplication

[tex]18 \div 3 + 6[/tex]

↓ execute division

[tex]6 + 6[/tex]

↓ execute addition

[tex]12[/tex]

b) [tex]9b+a^4\div8[/tex]

↓ plug in the given [tex]a[/tex] and [tex]b[/tex] values

[tex]9(6)+2^4\div8[/tex]

↓ simplify exponent

[tex]9(6)+16\div8[/tex]

↓ execute multiplication

[tex]54+16\div8[/tex]

↓ execute division

[tex]54+2[/tex]

↓ execute addition

[tex]56[/tex]

The best combination of belts and coats for this economy to produce is 95 belts and 1 coat. If the annual demand, setup cost, and cost per unit changes, then the EOQ formula can be used to determine the best combination of belts and coats to produce.

The best combination of belts and coats for this economy to produce can be determined using the economic order quantity (EOQ) formula. The EOQ formula helps businesses determine the most cost-effective order quantity when ordering goods. The EOQ formula is expressed as:

EOQ = √2AS/C

Where A is the annual demand for the product, S is the setup cost, and C is the cost per unit.

Using the EOQ formula, the best combination of belts and coats for this economy to produce is determined by calculating the EOQ for each product. For example, if the annual demand for belts is 95, the setup cost for belts is $1 and the cost per unit for belts is $2, then the EOQ for belts is:

EOQ = √2(95)(1)/(2)

EOQ = 95 belts

Similarly, if the annual demand for coats is 1, the setup cost for coats is $2, and the cost per unit for coats is $3, then the EOQ for coats is:

EOQ = √2(1)(2)/(3)

EOQ = 1 coat

Therefore, the best combination of belts and coats for this economy to produce is 95 belts and 1 coat. If the annual demand, setup cost, and cost per unit changes, then the EOQ formula can be used to determine the best combination of belts and coats to produce.

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Answer:

  (x, y) = (1120, 700)

Step-by-step explanation:

You want the number of discount (x) and premium (y) tickets to be sold so that a total of 1820 tickets are sold for $40 and $45, respectively, and they generate revenue of $76,300.

The equations reflect the relationships stated in the problem:

  x + y = 1820 . . . . . . the total number of tickets sold is 1820

  40x +45y = 76,300 . . . . . total sales must be $76,300

It usually works well to substitute for the variable representing the lower-price tickets:

  40(1820 -y) +45y = 76300 . . . . . . substitute for x using the first equation

  5y = 3500 . . . . . . . . . . . . . . subtract 72800, simplify

  y = 700 . . . . . . . . . . . . divide by 5

  x = 1820 -700 = 1120

The numbers of tickets of each type sold are (x, y) = (1120, 700).

Answer: 18000 cm^2

Step-by-step explanation:

1.5 meters = 150 cm

1.2 meters = 120 cm

Area = length * width

        = 150 cm * 120 cm

        = 18000 cm^2

The steel container meet the standard for stainless steel because it contains 12.5% of chromium.

An equation is an expression showing the relationship between numbers and variables.

Stainless steel contains at least 10.5% chromium.

We need to determine if a steel container  that weighs 40 grams contains 5 grams of chromium is stainless steel.

Therefore:

Percentage of chromium in the steel container = (5 grams / 40 grams) * 100% = 12.5%

12.5% > 10.5%, hence the steel container meet the standard for stainless steel

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Answer: 53

Step-by-step explanation: We know that the a triangle has three sides.

We also know that all of the sides are equal. And all the sides equal 159. So do 159/3 which equals 53.

Answer:were are the lists ? Pls include the lists.

Step-by-step explanation:

The 34% would be considered a statistic.

A statistic is a numerical measurement of a characteristic of a population.

It is calculated by taking the number of individuals in the sample with a certain characteristic, such as preferring charcoal to gas grills, and dividing it by the total number of individuals in the sample.

For example, in the survey of 1000 adults, if 340 of them prefer charcoal to gas grills, then the statistic would be calculated as 340/1000 = 0.34 = 34%. This statistic can then be used to make inferences about the entire population. In this case, it can be inferred that 34% of the population prefers charcoal grills to gas grills.

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The final expression is

sqrt (39y9) = y4 • sqrt(39y) assuming y as positive.

Rewrite

39 y ^9 as ((y^2)^2)^2 . 39 y

Factor out y^8.

√39(y^8 . y).

Rewrite   [tex]y^8 as (y^4)^2[/tex]

 √39(y^4)^2 . y).

Rules for simplifying variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

    sqrt(x8)=x4

    sqrt(x-6)=x-3

  (4) variables raised to an odd exponent which is  >2  or  <(-2) , examples:

     sqrt(x5)=x2•sqrt(x)

     sqrt(x-7)=x-3•sqrt(x-1)

Applying these rules to our case we find out that

SQRT(y9) = y4 • SQRT(y)

Therefore, sqrt (39y9) = y4 • sqrt(39y)

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Note that given the temperature values, the average low temperature for the week is 1° (Option A).

It is important to remember that the average of a set of data values is calculated by adding the values and dividing by the number of values.

Thus, the Average Low temperature is given as:

Average (A) = sum of data values / no of data values

⇒ Average (A)  = [8+7+(-3)+(-8)+(-5)+3+5]/7

A = 7/7

A = 1

Thus, the  Average Low temperature is given as 1° (Option A)

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Full Question:

See the attached table

Answer:

1.2 grams (or) 1200 mg per day

Step-by-step explanation:

The amount needed for 1 hour,

→ 200 mg ÷ 4 hour

→ 200 ÷ 4

→ 50 mg

Patient will receive in one day is,

→ 1 day = 24 hours

→ 50mg × 1 day

→ 50 × 24

→ 1200 mg

Converting mg into grams,

→ 1 g = 1000 mg

→ 1200 mg

→ 1200 ÷ 1000

→ 1.2 grams

Hence, the answer is 1.2 grams.

Answer:

1.2 grams

Step-by-step explanation:

There are 24 hours in one day.

Therefore, if the medication is to be taken every 4 hours, the patient receives:

Given that the doctor prescribes 200 mg of medication every 4 hours, the amount in milligrams that the patient will receive in one day is:

There are 1000 milligrams in one gram.

Therefore, to convert milligrams to grams, divide by 1000:

Therefore, the patient should receive 1.2 grams of medication in one day.