use the m=y2-y1/x2-x1 to find the slope of the line that goes through each pair of points A.(5,7) and (-4,-2) B.(1,3) and (1,-10)

Answer:

Step-by-step explanation:

The matches are:

By definition, Compatible Numbers are those numbers that are closed to the original number and they are used to solve mathematical operations mentally.

In this case, you have the following Division:

Therefore, analyzing the numbers, you can identify that the Dividend is:

And the Divisor is:

Notice that the Divisor is closed to 100. Then, you can set up that:

Looking at the Dividend, you can identify that:

The number 600 is closed to the number 556 (formed by the first three digits of the Dividend).

Notice that 600 and 100 can be divided evenly.

Knowing the explained above, you can set up that:

Therefore:

Then, the answer is:

Using the Central Limit Theorem, it is found that these conditions are required to avoid the high variability associated with small samples.

\(s=\sqrt{p(1-p)/n}\)

\(p v=2*p(z < -0.531)=0.595\)

1) Data given and notation

n=500 represent the random sample taken

X=380 represent the number of people with some characteristic

estimated proportion of adults that said that it is morally wrong to not report all income on tax returns

is the value that we want to test

represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

represent the p value (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.7 .:  

Null hypothesis:  

Alternative hypothesis:  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

(1)  The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value Check for the assumptions that he sample must satisfy in order to apply the test

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.

b) The sample needs to be large enough

3) Calculate the statistic  

\(z=\frac{0.76 - 0.77}{\sqrt{\frac{0.77(1-77)}{500} } =0.531}\)

Since we have all the info requires we can replace in formula (1) like this:  

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \(\alpha =0.05\)The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

\(pv=2*p(z < -0.0531)=0.595\)

If we compare the p value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion is not significantly different from 0.77.  

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The simplified exponential expression for this problem is given as follows:

D. 1/49.

The exponential expression for this problem is defined as follows:

\(7^{-\frac{5}{6}} \times 7^{-\frac{7}{6}}\)

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents.

Hence the exponent is given as follows:

-5/6 - 7/6 = -12/6 = -2.

The negative exponent is moved to the denominator, hence:

1/7² = 1/49.

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Answer:

0.61

Step-by-step explanation:

probability is out of 100 so if you do 100-39

you get 61

Answer:

can you respond and explain more

Step-by-step explanation:

The inclination of the line represented by the equation y = x + 3 is 1, and the inclination of the line represented by the equation 3x - 2y = 6 is 3/2.

To determine the inclination (or slope) of a straight line, we can examine the coefficients of the variables x and y in the equation of the line.

The inclination represents the ratio of how much y changes with respect to x.

Equation: y = x + 3

In this equation, the coefficient of x is 1, which means that for every increase of 1 in x, y also increases by 1.

This indicates that the inclination of the line is positive, meaning it slopes upwards as x increases.

Since the coefficient of x is 1, the inclination can be expressed as 1/1 or simply 1.

Equation: 3x - 2y = 6

To determine the inclination, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope.

First, isolate y:

-2y = -3x + 6

Divide the entire equation by -2 to solve for y:

y = (3/2)x - 3

Now we can observe that the coefficient of x is 3/2.

This indicates that for every increase of 1 in x, y increases by 3/2. Therefore, the inclination of this line is positive, indicating an upward slope.

The inclination can be expressed as 3/2.

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Solution:

Given:

The fenced part of the field must add up to 2400ft.

The possible fencing of the field if the fencing along the river is not needed are shown below;

Possibility 1:

Possibility 2:

From the two possible scenarios, to get the dimensions of the field with the largest area,

Therefore, the dimension of the field with the largest area is 600ft x 1200ft

Given statement solution is :-  Box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

To construct a box-and-whisker plot using the given data, you first need to find the minimum, maximum, median, and quartiles. Here are the steps to create the box-and-whisker plot for the given data set:

Sort the data in ascending order:

12, 12, 13, 14, 14, 15, 15, 15, 16, 16, 17, 18, 20

Find the median (middle value) of the data set. Since the data set has an odd number of values, the median will be the middle value:

Median = 15

Find the lower quartile (Q1), which is the median of the lower half of the data set.

Counting from the start, the lower half of the data set is:

12, 12, 13, 14, 14

Q1 = 13

Find the upper quartile (Q3), which is the median of the upper half of the data set.

Counting from the end, the upper half of the data set is:

17, 18, 20

Q3 = 18

Find the minimum and maximum values in the data set:

Minimum = 12

Maximum = 20

Now that we have the necessary values, we can construct the box-and-whisker plot:

lua

Copy code

       |                 |

 12  |      -------------|    

 13  |                 |

 14  |              ----  

 15  |           -------

 16  |      -------------|    

 17  |                 |

 18  |              ----  

 20  |                 |

       |_________________|

In this box-and-whisker plot, the box represents the interquartile range (IQR), which is the range between Q1 and Q3 (13 to 18). The line inside the box represents the median (15). The whiskers (lines extending from the box) represent the minimum and maximum values (12 and 20).

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none of the above it should be 36ft

The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.

The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.

The problem has provided the following information:

Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m

We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage

The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;

Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;

Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5

Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.

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Answer:

the volume is 904.32. that guy I don't know what

A 721

14471

IN 288rt

means

Answer:

18.5

Step-by-step explanation:

27 rounds up to 30. 53 rounds up to 50

Answer:

19.00

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

flip the picture upside down.

Answer:

\(\frac{2}{\frac{1}{24} }\)

Step-by-step explanation:

2/x = 48

48x = 2

x = (2)/ (1/24)

\(\frac{2}{\frac{1}{24} }\) = 48

Answer:

n=39/5

Step-by-step explanation:

24=5(n-3)

24=5n-15

-5n= -15-24

-5n=39

n= 39/5

Answer:

a) 0.214 = 21.4% probability that at most 4 of the calls involve a fax message

b) 0.118 = 11.8% probability that exactly 4 of the calls involve a fax message

c) 0.904 = 90.4% probability that at least 4 of the calls involve a fax message

d) 0.786 = 78.6% probability that more than 4 of the calls involve a fax message

Step-by-step explanation:

For each call, there are only two possible outcomes. Either it involves a fax message, or it does not. The probability of a call involving a fax message is independent of other calls. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

25% of the incoming calls involve fax messages

This means that \(p = 0.25\)

25 incoming calls.

This means that \(n = 25\)

a. What is the probability that at most 4 of the calls involve a fax message?

\(P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)\).

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{25,0}.(0.25)^{0}.(0.75)^{25} = 0.001\)

\(P(X = 1) = C_{25,1}.(0.25)^{1}.(0.75)^{24} = 0.006\)

\(P(X = 2) = C_{25,2}.(0.25)^{2}.(0.75)^{23} = 0.025\)

\(P(X = 3) = C_{25,3}.(0.25)^{3}.(0.75)^{22} = 0.064\)

\(P(X = 4) = C_{25,4}.(0.25)^{4}.(0.75)^{21} = 0.118\)

\(P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.001 + 0.006 + 0.025 + 0.064 + 0.118 = 0.214\)

0.214 = 21.4% probability that at most 4 of the calls involve a fax message

b. What is the probability that exactly 4 of the calls involve a fax message?

\(P(X = 4) = C_{25,4}.(0.25)^{4}.(0.75)^{21} = 0.118\)

0.118 = 11.8% probability that exactly 4 of the calls involve a fax message.

c. What is the probability that at least 4 of the calls involve a fax message?

Either less than 4 calls involve fax messages, or at least 4 do. The sum of the probabilities of these events is 1. So

\(P(X < 4) + P(X \geq 4) = 1\)

We want \(P(X \geq 4)\). Then

\(P(X \geq 4) = 1 - P(X < 4)\)

In which

\(P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{25,0}.(0.25)^{0}.(0.75)^{25} = 0.001\)

\(P(X = 1) = C_{25,1}.(0.25)^{1}.(0.75)^{24} = 0.006\)

\(P(X = 2) = C_{25,2}.(0.25)^{2}.(0.75)^{23} = 0.025\)

\(P(X = 3) = C_{25,3}.(0.25)^{3}.(0.75)^{22} = 0.064\)

\(P(X <4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.001 + 0.006 + 0.025 + 0.064 = 0.096\)

\(P(X \geq 4) = 1 - P(X < 4) = 1 - 0.096 = 0.904\)

0.904 = 90.4% probability that at least 4 of the calls involve a fax message.

d. What is the probability that more than 4 of the calls involve a fax message?

Very similar to c.

\(P(X \leq 4) + P(X > 4) = 1\)

From a), \(P(X \leq 4) = 0.214)\)

Then

\(P(X > 4) = 1 - 0.214 = 0.786\)

0.786 = 78.6% probability that more than 4 of the calls involve a fax message

Answer: The quotient is 3y² + 2y - 1.

Step-by-step explanation:

You can use long division to solve this expression by setting the dividend under the roof and the divisor outside as you would normally do when dividing numbers.

1) Look at the first term of the dividend, 15y³, and the first term of the divisor, 5y. Determine what value multiplied by 5y would give you 15y³. The answer is 3y², and given the number, you multiply it by the WHOLE divisor.

3y²(5y + 6) = 15y³ + 18y² <-- subtract this from the dividend.

2) Continue this process and make sure to drag down the next term for each new value you form after subtracting. Keep in mind of any negative values! When you reach up to -5y, determine what value multiplied by 5y would give you the value of -5y, which would be -1.

3) You should be left with a remainder of 0, leaving you with a quotient of 3y² + 2y - 1.

put -5 in 5 postion for the second and 5 for the first

Step-by-step explanation:

Answer:

Step-by-step explanation:

55/66

Answer:

£1,049

Step-by-step explanation:

The computation of the amount after 5 years is shown below:

Here we have to determined the future value

As we know that

Future value = Present value × (1 + rate of interest)^number of years

=  £950 × (1 + 0.02)^5

=  £950 × 1.02^5

=  £950 × 1.1040808032

= £1,049

\(\\ \sf\longmapsto 3x^2+5x-8-(2x^2-4x+3)\)

\(\\ \sf\longmapsto 3x^2+5x-8-2x^2+4x-3\)

\(\\ \sf\longmapsto 3x^2-2x^2+5x+4x-8-3\)

\(\\ \sf\longmapsto x^2+9x-11\)

Answer:

(3×2+5x-8)-(2×2-4x-3) = (6+5x-8)-(4-4x-3)

= 6+5x-8-4+4x+3

= -3+9x

3.1.1 The basic property of operations used is the commutative property of multiplication.

3.1.2 The basic property of operations used is the additive inverse property.

3.1.3 The basic property of operations used is the associative property of addition.

3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.

3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.

3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.

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Answer:

see explanation

Step-by-step explanation:

(a)

let ∠ QRS = x then ∠ PQR = x and

∠ QPS = \(\frac{6}{7}\) x and ∠ PSR = \(\frac{4}{7}\) x

the sum of the 4 angles in a quadrilateral = 360°

sum the 4 angles and equate to 360

x + x + \(\frac{6}{7}\) x + \(\frac{4}{7}\) x = 360 ( multiply through by 7 to clear the fractions )

7x + 7x + 6x + 4x = 2520

24x = 2520 ( divide both sides by 24 )

x = 105

then

∠ QRS = 105° , so

∠ PSR = \(\frac{4}{7}\) × 105° = 4 × 15° = 60°

(b)

∠ QPS = \(\frac{6}{7}\) × 105° = 6 × 15° = 90° ← a right angle

Answer:

2.308 m/s^2

Step-by-step explanation:

F = ma

30 N = (13 kg)a

---> a = 2.308 m/s^2

nswer:

Step-by-step explanat

|x+2| - 1 ≥ 5

  |x+2|  ≥ 5+1

 |x+2|  ≥ 6

 x+2 ≥ 6 hoặc x+2 ≤ -6

+ với x+2 ≥ 6  x ≥ 6 – 2   x ≥ 4

+ với x+2 ≤ -6  x ≤ -6 – 2  x ≤ -8

(-∝;-8)∪(4;+∝)

The missing quantities are

Social Security= $217

Medicare = $‭50.75‬

Net Pay is $‭2,633.67‬

First, Taxable income is therefore;

= 3,500 - (76.90 x 4 )

= $‭3,192.4‬0

Federal Income Tax (FIT).

With taxable income of $‭3,192.4‬0, the tax is $565.15 plus 28% of anything above $‭3,073.

= 565.15 + (28% x (‭3,192.4‬0 - 3,073))

= 565.15 + 33.43

= $‭598.58

and, Social Security

= Gross pay x 6.2%

= 3,500 x 6.2%

= $‭217‬

and, Medicare

= 3,500 x 1.45%

= $‭50.75‬

Then, the Net Pay

= 3,500 - 598.58 - 217 - 50.75

= $‭2,633.67‬

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Question:

Describe the two transformations that were performed to go from

to

Answer:

First, lets perform an horizontal shrink by a factor of 2 (Multiply the whole function by 2)

And then, let's move the function up by 5 units (add 5 to the whole function)

Therefore, transformation one is an horizontal shrink by 2, and transformation two is a vertical displacement of +5 units.

Answer:

es tiens que multiplication

Answer:

x= -13/10

Step-by-step explanation:

First, distribute the -6.

-3x-6(2x+8)=-5x-35

-3x-12x-48=-5x-35

Combine Like Terms.

-15x-48=-5x-35

Add 48 to both sides to have 1 variable by itself.

-15x=-5x+13

Add 5x to both sides of the equation.

-10x=13

Divide by 10 on both sides to simplify.

Therefore, giving you -13/10 or -1.3 as a decimal.