Find the slope between points (4,-5) and (5,-1)

Answer:

-3

Step-by-step explanation:

Answer: The slope whould be 3

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 3

y-intercept:

(0,0)

x|y

----

0|0

1|3

Answer: w = 110°     x = 83°     y = 87°      z = 97°

Step-by-step explanation:

∠(x - 13) and ∠w form a linear pair so their sum is equal to 180°

x - 13 + w = 180        →     w = -x + 193

∠(x + 10) and ∠y form a linear pair so their sum is equal to 180°

x + 10 + y = 180        →    y = -x + 170

∠x  and ∠z form a linear pair so their sum is equal to 180°

x + z = 180             →    z = 180 - x

∠x and ∠y and ∠w are the angles of a triangle so their sum equals 180°

x + y + w = 180

x + (-x + 170) + (-x + 193) = 180                   Substitution

                       -x + 263 = 180                    Add Like Terms

                       -x            = -83                    Subtracted 263 from both sides

                                  x = 83                      Divided both sides by -1

w = -x + 193                     y = -x + 170                     z = 180 - x

w = -83 + 193                  y = -83 + 170                   z = 180 - 83

w = 110                           y = 87                             z = 97

Answer:

z= 120, ∠x= 60°, ∠y= 50°, ∠w= 70°

Step-by-step explanation:

Please see the attached pictures for the full solution.

The confidence interval at 99% is (162.372, 137.628)

The total number of random samples = 60 computers

The mean repair cost = $150

The standard deviation = $36

The confidence interval = 99%

So,

1 - ∝ = 0.99

∝ = 1 - 0.99

∝ = 0.01

The equation of confidence interval = m ± t(1 - ∝/2, n-1) × s/\(\sqrt{n}\)

Substitute the values in the equation

= 150 ± t(1 - (0.01/2), (60-1)) × 36/\(\sqrt{60}\)

= 150 ± t(0.995, 59) ×4.65

The value of t(0.995, 59) = 2.662

Substitute the value in the equation

= 150 ± 2.662× 4.65

= 150 ± 12.372

Then

150 + 12.372 = 162.372

150 - 12.372 = 137.628

Therefore, the interval is (162.372, 137.628)

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Answer:

124, 3 left over

Step-by-step explanation:

Answer:

oh man dat aint gon fit she gonna have to buy more baskets

Step-by-step explanation:

Answer:

4 and 10 - acute

2 is acute, but 3 is obtuse

8 and 12 - acute

6 and 12 - acute

1 is obtuse 2 is acute

15 and 11 are obtuse

9 is obtuse but 8 is acute

2 and 4 are acute.

Step-by-step explanation:

I believe this is correct.

A right angle is a perfect corner. Think of a square and look at the corner, it doesn't go farther or shorter when it hits a side if you know what I mean by that. An acute angle is shorter than a right angle, or stops before it can be called a right angle. An obtuse angle is bigger than a right angle, or ends after the right angle point. I hope what I have just said here helps you with future problems!! Good luck :))

Answer:

65 cows

Step-by-step explanation:

Inverse rule of three

\(45-------13\\x -------- 9\)

\(x=\frac{(45)(13)}{9}=585/9=65\)

Hope this helps

To solve the system of linear equations:

-x + y = 4

x + 3y = 4

We can use the substitution method or elimination method. Here, we will use the elimination method.

First, we will multiply the first equation by 3:

-3x + 3y = 12

Then, we will add the two equations together:

(-3x + 3y) + (x + 3y) = 12 + 4

Simplifying the left side and combining like terms on the right side, we get:

-2x + 6y = 16

Next, we will isolate x in one of the equations. Let's use the first equation and solve for x:

-x + y = 4

x = y - 4

Now, we can substitute this expression for x in the second equation:

x + 3y = 4

(y - 4) + 3y = 4

Simplifying and solving for y, we get:

4y = 8

y = 2

Finally, we can substitute y = 2 into either equation to find x. Let's use the first equation:

-x + y = 4

-x + 2 = 4

Simplifying and solving for x, we get:

x = -2

Therefore, the solution to the system of equations is:

x = -2, y = 2

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The probability that a defective component will be detected only by the first inspector is 0.19

The probability that a defective component will be detected by exactly one of the two inspectors is 0.38

The probability that all three defective components in a batch escape detection by both inspectors is 0.

It is given that The first inspector detects 81% of all defectives that are present, and the second inspector does likewise.

Therefore P(A)=P(B)=81%=0.81

At least one inspector does not detect a defect on 38% of all defective components.

Therefore, bar P(A∩B)=0.38

As we know:

bar P(A∩B)=1-P(A∩B)=0.38

P(A∩B)=1-0.38=0.62

A defective component will be detected only by the first inspector.

P(A∩barB)=P(A)-P(A∩B)

=0.81-0.62

P(A∩barB)=0.19

The probability that a defective component will be detected only by the first inspector is 0.19

Part (B) A defective component will be detected by exactly one of the two inspectors.

This can be written as: P(A∩barB)+P(barA∩B)

As we know:

P(barA∩B)=P(B)-P(A∩B) and P(A∩bar B)=P(A)-P(A∩B)

Substitute the respective values we get:

P(A∩ barB)+P(bar A∩B)=P(A)+P(B)-2P(A∩B)

=0.81+0.81-2(0.62)

=1.62-1.24

P(A∩ barB)+P(bar A∩B)=0.38

The probability that a defective component will be detected by exactly one of the two inspectors is 0.38

Part (C) All three defective components in a batch escape detection by both inspectors

This can be written as: P(bar A∪ bar B)-P(bar A∩B)-P(A∩ barB)

As we know bar P(A∩B)=P(bar A∪ bar B)=0.38

From part (B): P(bar A∩B)+P(A∩bar B)=0.38

This can be written as:

P(bar A∪ bar B)-P(bar A∩B)-P(A∩bar B)=0.38-0.38=0

The probability that all three defective components in a batch escape detection by both inspectors is 0

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Answer:

B. 8 x 10^3

Step-by-step explanation:

1.6 x 10^5 / 0.2 x 10^2

= 160 000 / 20

= 8 000

You can write this as 8 x 10^3

In a round-robin chess tournament with 4 players, a total of 6 games were played.

What is function ?

In mathematics, a function is a relation between a set of inputs (also called the domain) and a set of possible outputs (also called the range) with the property that each input is related to exactly one output.

The formula for the number of chess games, N, in a round-robin tournament with n players is:

N = (n(n-1))/2

When n = 4, the number of games played is:

N = (4(4-1))/2 = 6

So, in a round-robin chess tournament with 4 players, a total of 6 games were played.

To identify a point on the graph, we need to plot the values of n and N on a graph with n as the x-axis and N as the y-axis. We can then plot the point (4,6) on the graph, where 4 represents the number of players and 6 represents the number of games played in the tournament. This point corresponds to the intersection of the horizontal line n=4 and the vertical line N=6. The graph is shown below:

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Answer:

research the topic if you don't know much about the topic find credible sites you can use like...

sights ending in .org .net .gov .edu most of the time these are credible sites No plagiarism write in your own words check writing and spelling and grammar

Answer:

(2,-7)

Step-by-step explanation:

Reflection rule for across the x-axis: \((x,y)\rightarrow (x,-y)\)

Using the rule and point (2,7):

\((2,7)\rightarrow(2,-7)\)

(2,-7) should be the correct answer.

Brainilest Appreciated.

Answer:

Step-by-step explanation:

To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.

Let's apply the Luhn algorithm to the given credit card number:

Step 1: Starting from the rightmost digit, double every second digit

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|

Step 2: If the doubled value is greater than 9, add the digits of the result

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |

Step 3: Add up all the digits in the credit card number, including the check digit

5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61

Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.

61 is not divisible by 10, therefore the given credit card number is invalid.

Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.

The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:

Write the dividend and divisor in polynomial long division format:

_________________________

x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...

Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).

Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).

Subtract the result obtained in step 3 from the original dividend:

x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...

Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.

Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.

-3x^(2n-2) + 0x^(2n-3) + ... = -80

Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.

This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:

2n-2 = 0

2n = 2

n = 1

Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

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Given:

The function is:

Find-:

Temperature after depth "h."

Explanation-:

The function of temperature is:

So, the temperature is:

The quotient for the given condition will be;

⇒ 6.44 feet

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Juliet will cut a piece of string that is 45.1 feet long into seven smaller pieces.

And, Each of the seven pieces will be the same length.

Now,

Since, Juliet will cut a piece of string that is 45.1 feet long into seven smaller pieces.

Hence, Length of each piece = 45.1 ÷ 7

                                              = 6.44 feet

Thus, The quotient for the given condition will be;

⇒ 6.44 feet

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Answer:

I dont think you can, Pretty sure u can only search for answers. I would double check though

Step-by-step explanation:

well, a year has a total of 12 months, so 3 months is really 3/12 of a year.

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2700\\ r=rate\to 8.2\%\to \frac{8.2}{100}\dotfill &0.082\\ t=years\to \frac{3}{12}\dotfill &\frac{1}{4} \end{cases} \\\\\\ A=2700[1+(0.082)(\frac{1}{4})] \implies A = 2700(1.0205)\implies A=2755.35\)

Answer:

1100

Step-by-step explanation:

8 = 1000

9 = 1001

10 = 1010

11 = 1011

12 = 1100

hope this helps :)

Answer: D

Step-by-step explanation:

Try to draw the X and Y axis: When you shift the function to left it translates as going to the left of the X axis. So what you want is that every value of X on the parent function to correspond to the same x value minus four.

You can apply the same logic to get the + 6

Answer: C

Step-by-step explanation:

1. divide 3 by 2 to find out how many pounds of blueberries she picked each day. 3/2 is 1.5

2. multiply 1.5 by 16 to convert to ounces. 1.5x16 is 24.

3. she picked 24 ounces of blueberries each day.

\(\\ \sf\longmapsto z1w2=z2w1\)

\(\\ \sf\longmapsto 15(10)=4z_2\)

\(\\ \sf\longmapsto 4z_2=150\)

\(\\ \sf\longmapsto z_2\approx 38\)

⟼4z

jshsujsjajajenxjnxjde

⟼z

2

≈38

Answer:

A

Step-by-step explanation:

Using the properties of logarithms, we can simplify the expression:

4 log3x + 6 log3y - 7 log3z = log3x^4 + log3y^6 - log3z^7

Now, we can use another property of logarithms, which states that:

loga (mn) = loga m + loga n

Using this property, we can combine the logarithms with addition or subtraction:

log3x^4 + log3y^6 - log3z^7 = log3(x^4 * y^6 / z^7)

Therefore, the simplified form of 4 log3x + 6 log3y - 7 log3z is log3(x^4 * y^6 / z^7).

Answer:

The answer is "0.6368 and 0.773".

Step-by-step explanation:

The manufacturer of organic compounds guarantees that its clients have at least 100 lbs. of solvent in every fluid drum they deliver. \(X\ is\ N(101.8, 3.76)\\\\P(X>100) =P(Z> \frac{100-101.8}{3.76}=P(Z>-0.47))\)

For point a:

Therefore the Probability =0.6368  

For point b:

\(P(Z\geq \frac{100-101.8}{\sigma})=0.99\\\\P(Z\geq \frac{-1.8}{\sigma})=0.99\\\\1-P(Z< \frac{-1.8}{\sigma})=0.99\\\\P(Z< \frac{-1.8}{\sigma})=0.01\\\\z-value =0.01\\\\area=-2.33\\\\ \frac{-1.8}{\sigma}=-2.33\\\\ \sigma= \frac{-1.8}{-2.33}=0.773\)

Answer:

It will equal 5.007.

Step-by-step explanation:

7/1000 is 0.007, and 5 is 5.000

They Equal 5.007.

The equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

According to the question,

We have the following information:

Slope of the line = 1/3

We know that the slope of the line is denoted by m.

y-intercept of the line = -1

We know that the y-intercept is denoted by b.

We have the following equation for the line in slope-intercept form:

y = mx+b

Putting the above values in this equation:

y = x/3-1

Hence, the equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

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