Compute the unit worth of resource 1 (defined by 1st constraint) and the range of its validity. I Compute the unit worth of resource 2 (defined by 2nd constraint) and the range of its validity. Maximize z = 5x1 + 4x2 6x1 + 4x2 = 24 (1) X1 + 2x2 5 6 (2) -X1 + X2 s 1 (3) X2 5 2 (4) X1, X2 = 0 (5) :

The purpose of using prefix in the metric system is to properly sale the basis of the unit so large numeric values can be used effectively.

If the metric system is not properly prefixed it can lead to various inconsistencies in the the numeric values. for example if you go to a computer store and you do not know the scale like (kb, mb, gb, tb) you will get quite confused about what is the sales representative saying

Consider you went to a store to get sugar and you do not know the metric system say(gram, kg, mg) you would not know how much sugar you need directly by taking it in your hands.

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Answer:

0.259

Step-by-step explanation:

There are some rules in determining what numbers are significant figures.

We can determine how many significant figures the number currently has.

There are currently seven significant figures. In order to round the number to three significant figures, we must round it to the thousandths place, or the 9.

The rounding rules are:

Since 0 is less than 5, the number rounded to 3 significant figures is 0.259.

Answer:

7) 889/1000

8) 3/5

9) 3/8

10) 1/4

11) 667/1000

12) 3/4

Answer:96

Step-by-step explanation: 192/2= 96

i think

Total number of outcomes in rolling a die 3 times = \(6^3\)  =216

What is outcome of an event?

Suppose an event is happening. The result of the event is called outcome of the event.

For example : let the event be throwing of a die. One of the outcome of the event is getting a 4 on the die

Number of outcomes of rolling a die first time = 6

Number of outcomes of rolling the die second time = 6

Number of outcomes in rolling a die third time = 6

Total number of outcomes in rolling a die 3 times = \(6 \times 6 \times 6\)

                                                                                   = \(6^3\)

                                                                                   = 216

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Answer:

C

Step-by-step explanation:

(45+(15))/3=20

Answer:

odd

Step-by-step explanation:

The range of the function represented by y = 15x + 20, where y is Kim's daily earnings and x is the number of bikes she assembles, is $20 ≤ y ≤ $110.

The range of a function is the set of values of y possible values of the dependent variable after substituting values for the independent variable(domain).

The total amount she earns can be represented by

y = 15x + 20

where y is her daily earnings and x is the number of bikes she assembles

If Kim's boss daily goal is to assemble no more than 6 bicycles a day, then the value of x will only range from 0 to 6(whole number).

domain : {x| 0 ≤ x ≤ 6}

where x is a whole number

Substituting the minimum and maximum value of x in the function.

y = 15(0) + 20     when x = 0

y = 20

y = 15(6) + 20     when x = 6

y = 110

range : $20 ≤ y ≤ $110

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Answer: 0.67

Step-by-step explanation:

\(\begin{aligned}p(\text { failure }) &=1-p \text { (success) } \\&=1-33 \% \\&=67 \% \\&=0.67\end{aligned}\)

Answer:

Step-by-step explanation:

Initial value of house is $478000

Change in value is 8% greater:

We need 8% of Value

\(\\ \sf\longmapsto 8\%\:of\;478000\)

\(\\ \sf\longmapsto 0.08(478000)\)

\(\\ \sf\longmapsto 38240\$\)

Current value:-

\(\\ \sf\longmapsto 478000+38240=516240\)

The answer is (d) 6 variables, 1 of which is categorical.

The given data set consists of 6 variables, indicating that there are six distinct pieces of information being recorded or measured. Among these variables, only one is categorized as categorical. Categorical variables are qualitative in nature and represent characteristics or categories rather than numerical values. Examples of categorical variables include gender, color, type, or any other non-numeric attribute.

By deductive reasoning, since there is only one categorical variable in the dataset, the remaining five variables are likely to be quantitative. Quantitative variables are numerical and represent measurable quantities, such as age, weight, temperature, or time.

Identifying the number of categorical variables in a dataset is crucial for understanding the nature of the information being collected. In this case, we can confidently conclude that the data set contains 6 variables, with 1 of them being categorical, while the other 5 variables are likely to be quantitative.

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Answer:

-0.53

Step-by-step explanation:

5/4 *x -1/9 = 6x

-1/9 = (6-5/4) x

x = -4.75/9

x=-0.53

In statistics, a scatter plot is used to identify a correlation between two variables by visually observing a collection of ordered pairs (x, y) in which two variables are plotted on the X and Y axis. The value of one variable is compared to the value of the other variable. The data can be measured and presented on a graph to determine whether there is a relationship between them. A scatter plot of home run leaders for each league in baseball is one such example.

To construct a scatter plot of home run leaders in baseball, the difference between the smallest and largest number of home runs by leaders for each league must first be calculated. The American League and the National League are the two leagues in baseball that have home run leaders. A scatter plot of home run leaders can be constructed using a graph. The vertical axis represents the number of home runs hit by the leaders in the National League.

The horizontal axis represents the number of home runs hit by the leaders in the American League. The difference between the greatest and smallest number of home runs hit by the leaders in each league will be measured. To get the difference between the smallest and greatest number of home runs in each league, the greatest number of home runs hit by leaders in a league is subtracted from the smallest number of home runs hit by leaders in a league.

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The six wedges cover, which is also the total area, 24π cm².

Area is the amount of two-dimensional space taken up by a shape or object. It is calculated by multiplying the length and width of a given shape or object.

To get to this answer, one must use the formula for the area of a circle,

A=πr,  r = radius of the circle.

As each wedge is a semicircle, the radius is equal to half of the diameter, or 2 cm.

Therefore, the area of each wedge= 4π cm².

As there are six wedges, the total area of the four lime wedges in the center of the top of the pie

=6 × 4π cm²

=24π cm².

The area of each wedge= 4π cm² and total area is 24π cm².

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Answer:

30

Step-by-step explanation:

if wrong plz tell me

Answer:

The estimated total to the nearest dollar is $31, so he cannot afford both items.

Step-by-step explanation:

10.58 rounded is 11

19.50 rounded is 20

11+20=31

Answer:

I think it would be last one. Based on the idea that 10.58 would round up to 11.00, and the DVD would add up to 20.oo

that would equal 31.00, and he only has 30.00 to spend.

So I would say D.

Step-by-step explanation:

Answer:12 out of 9 chances

Step-by-step explanation:

Answer: 9/24 or 3/8(simplified).

Step-by-step explanation:

Okay first let's break it down.

The spinner has a 1/4 chance of landing on blue.

The spinner has a 1/2 chance of landing on red.

The spinner has a 1/4 chance of landing on green.

The spinner has a 3/4 chance of landing on red or blue

The spinner has a 3/4 chance of landing on red or green.

The spinner has a 1/2 chance of landing on blue or green.

A 6-sided die has a 1/2 chance of landing on either even or odd.

The question first asks the probability of spinning a red or blue.

So first, you need to know how many parts of the spinner of the four sections are red and blue. It's 3/4. There are 3 even numbers on a six-sided die so that's 3/6 or 1/2. Next, multiply these probabilities to get 9/24 or 3/8.

The simple random sample provided a sample mean of X and a sample standard deviation of Y.

A simple random sample is a subset of individuals selected randomly from a larger population. The sample mean (X) represents the average value of the variable of interest within the sample, while the sample standard deviation (Y) measures the dispersion or spread of the data around the sample mean. The sample mean is calculated by summing up all the values in the sample and dividing it by the sample size. The sample standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences between each value and the sample mean.

The sample mean is a useful statistic as it provides an estimate of the population mean, assuming the sample is representative of the population. It is often used to make inferences about the larger population. On the other hand, the sample standard deviation indicates the variability within the sample. A smaller standard deviation suggests that the data points are closer to the sample mean, while a larger standard deviation indicates greater variability or dispersion.

It is important to note that the sample mean and sample standard deviation are statistics calculated from the sample and are subject to sampling variability. To make more accurate inferences about the population, it is often necessary to use inferential statistics, such as confidence intervals or hypothesis testing. These techniques take into account the sample size, sample mean, and sample standard deviation to draw conclusions about the population parameters.

Overall, the simple random sample provided a sample mean of X and a sample standard deviation of Y, which are essential measures to understand the central tendency and dispersion of the data within the sample.

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Answer:

B and D are both correct

Step-by-step explanation:

The probability of being dealt 4​, ​5, 6​, 7​, and 8​, not necessarily in the same​ suit is  0.00039.

The cards 4,5,6,7, and 8 are given to us. We must figure out the probability of obtaining these cards in a deal. As we already know, probability equals the number of possible card selection methods divided by the total number of possible card selection methods. The amount of card selection options will therefore be determined initially.

We know that there are four cards of each number, 4, 5, 6, 7 and 8, in a deck of 52 cards. This means that there will be an equal number of possibilities to choose one card from the decks of 4, 5, 6, 7 and 8 when raised to the power of five.

Possible ways= 4^5= 1024

Total selection= C(52,5)= 2598960

Probability of being dealt with  4​, ​5, 6​, 7​, and 8​ is 1024/2598960 which is equal to 0.00039.

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Answer:

False

What type of variables does linear regression use?

What is linear regression? Linear regression analysis is used to predict the value of a variable based on the value of another variable. The variable you want to predict is called the dependent variable. The variable you are using to predict the other variable's value is called the independent variable.

Can independent variable be categorical in linear regression?

The linear model used in regression analysis always involves a numeric dependent variable. However, in such analyses it is possible to use categorical independent variables.

Hope this helps :)

Pls brainliest...

Answer:true

Step-by-step explanation: In a linear regression model, the independent variable (also known as the predictor or input variable) is typically assumed to be of interval or ratio type. Interval and ratio data are both continuous data types that have equal intervals between values and can be subjected to mathematical operations, such as addition and subtraction.

Answer:

The number that is multiplied repeatedly is called the base.

Using SOH CAH TOA, the value of hypotenuse, h, is 29.1 cm

From the question, we are to calculate the value of the hypotenuse.

In the diagram, h represents the hypotenuse

Using SOH CAH TOA

sin (angle) = Opposite / Hypotenuse

cos (angle) = Adjacent / Hypotenuse

tan (angle) = Opposite / Adjacent

From the given information,

Angle = 31°

Opposite = 15 cm

Hypotenuse = h

Thus,

sin (31°) = 15 cm / h

0.515038 = 15 cm / h

Then,

h = 15 / 0.515038 cm

h = 29.12406 cm

h ≈ 29.1 cm

Hence,

The value of h is 29.1 cm

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The place value of 3 in this number be ten.

Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.

The number 42,316 is different from 61,432 because the digits are in different positions.

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.

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The area of the region inside the rectangle that surrounds the square is 147 square in.

The side of square is 10 in

Area of square is = side x side

A = 10 x 10

A = 100 square in.

Therefore, Area of square  is 100

The length of rectangle is 19 in and width of rectangle is 13in

area of rectangle  = l x w

A = 19 x 13

A = 247 square in.

Area of rectangle is 247 square in.

To calculate area of the region inside the rectangle that surrounds the square,

= A[rectangle] - A[square]

= 247 - 100

= 147 square in.

Therefore, The area of the region inside the rectangle that surrounds the square is 147 square in.

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Answer:

20%

Step-by-step explanation:

12-10=2

changed ÷ original x 100

2 ÷ 10 x 100

=20%

Answer:

a. 304 feet

b. 425 feet

c. 3.75 seconds

d. It will take the rocket approximately 8.9 seconds to hit the ground

Step-by-step explanation:

1. The given data of the question including the question relationships are listed as follows;

The height of the cliff from which the rocket was launched = 200-ft.

The initial velocity of the rocket, u = 120 feet per second

The equation that models the height of the rocket with respect to time 't' is h(t) = -16·t² + 120·t + 200

a. The height of the rocket after 1 second is given by plugging in t = 1 in the equation that models the height as follows;

h(1) = -16 × (1)² + 120 × (1) + 200 = 304

The height of the rocket after 1 second, h(1) = 304 feet

b. The maximum height can be found by finding the value of the maximum point of the curve of the equation for the height as follows;

At the maximum point, h'(t) = d(-16·t² + 120·t + 200)/dt = 0

∴ d(-16·t² + 120·t + 200)/dt = -32·t + 120 = 0

t = 120/32 = 3.75

At the maximum point, t = 3.75 seconds

The maximum height can also be found by finding the vertex of the parabola formed by the height equation as follows;

At the vertex (the maximum point), t = -b/(2·a) = -120/(2 × (-16)) = 3.75

At the vertex (the maximum point), t = 3.75

The height at the maximum point = h(3.75) = -16 × (3.75)² + 120 × (3.75) + 200 = 425

The height at the maximum point, h(3.75) = 425 feet

c. The time it will take the rocket to reach the maximum point is given by the value of 't' at the maximum point, the vertex, which is t = -b/(2·a) = -120/(2 × (-16)) = 3.75

Therefore;

The time it takes the rocket to reach the maximum point, \(t_{max}\) = 3.75 seconds

d. The time it takes the rocket to hit the ground (height h(t)) is given by finding the values of 't' that satisfy the height equation where h(t) = 0 as follows;

At the ground level, h(t) = 0 = -16·t² + 120·t + 200

Therefore, we get;

-16·t² + 120·t + 200 =

t = (-120 ± √(120² - 4×(-16) × 200))/(2 × (-16))

t ≈ 8.9 or t ≈ -1.4

Therefore, the time it takes the rocket to hit the ground is given by the natural number, t ≈ 8.9 seconds.