Answer:
Slope = -4
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes, which means that multiplying their slopes result in a product of -1. Given the equation, x - 4y = - 12:
Transform the equation into its slope-intercept form, y = mx + b:
x - 4y = - 12
x - x - 4y = - x - 12
-4y = -x - 12
Divide both sides by -4:
\(\frac{-4y}{-4} = \frac{-x - 12}{-4}\)
y = ¼x + 3 ⇒ (This is the slope-intercept form of the given standard equation, x - 4y = - 12).
Since the slope of the given equation is ¼, then it means that its negative reciprocal must be - 4:
(¼) (-4) = -1
Therefore, the slope of the line perpendicular to x - 4y = - 12 is - 4.
Name the multiplicative inverse of 7i.
Answer:
The multiplicative inverse of 7 is 1/7.
Step-by-step explanation:
A number's multiplicative inverse is its reciprocal.
hope i helped
-lvr
Help I do not understand
solve x -9 = 8 HELP!!!!! I am dead over here help me!!!!
Answer:
x=17
Step-by-step explanation:
x-9=8
add nine on both sides
x-9+9=8+9
the nines on the side with the x cancel each other
x=17
Factor the expression using the greatest common factor
15x + 6 =
Answer:
3(5x+2)
Step-by-step explanation:
Given the expression
15x + 6 =
To factor we need to find the greatest common factor of 15 and 6
15 = 3×5
6 = 3×2
Substitute into the expression
15x+6
= 3(5)x + 2(3)
Factor out the like terms
= 3(5x+2)
Hence the required expression is 3(5x+2)
answer this plz means alot
Answer:
3x-2 = 7
After that, -2 go in right side like given below:
3x = 7+2
3x = 9
x = 9/3
x = 3.
What is the value of x in the equation?
x+1/6=2/3
Answer: 1/2
Step-by-step explanation:
Simplify 2/3 to 4/6
Subtract 1/6 from both sides of the equation
4/6 - 1/6 = 3/6 = 1/2
Answer:
3/6
Step-by-step explanation:
You first have to change the denominator into a 6 then multiply it then you get 3/6. Hope this helped brutherrr
which of the following angle relationships are correct?
Answer:
B but am not sure tho it's probably A
please help with the question below asap !! thank you in advance !!
What does x equal
X/8 = 5/3
Answer:
40/3
Step-by-step explanation:
\(\frac{x}{8} =\frac{5}{3}\)
Multiply both sides by 8:
\(x=\frac{5}{3}* \frac{8}{1} =\frac{40}{3}\)
Answer:
40/3
Step-by-step explanation:
hopefully this helps
first multiply 8 x 5 from x/8 and 5/3
next after you multiply 8 x 5 you should get 40 and your is
40/3
hopefully this helps
How many 100kg to lbs
100 kg of weight is equal to 220.462 lbs
To convert kilograms (kg) to pounds (lbs), you can use the conversion factor of 1 kg = 2.20462 lbs. So to convert 100 kg to lbs, you would multiply 100 by 2.20462.
This gives you the equivalent weight of 220.462 lbs. It is important to note that the pound is a unit of weight commonly used in the United States and the United Kingdom, while the kilogram is the standard unit of mass in the International System of Units (SI).
It is important to use the correct unit of measurement when working with weights and masses in different contexts.
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Answer ASAP please!
…
Answer:
"A" seems to be incorrect....
Step-by-step explanation:
"A" seems to be incorrect....
\(\frac{\left(\sin \left(60^{\circ \:}\right)\cdot \:300\right)}{\sin \left(90^{\circ \:}\right)}=150\sqrt{3}\quad \begin{pmatrix}\mathrm{Decimal:}&259.80762\dots \end{pmatrix}\)
Help pls with probability tasks.
1.In the class, there are 14 girls and 9 boys. Let's consider event A - there are at least two girls in the class who were born in the same month. Event A is...
A. an impossible event
C. an elementary event
B. a certain event
D. impossible to determine
2.There are 75 parts in the box, each labeled with a number from 1 to 75. Among these parts, 10 are defective. Let's consider event B - taking out a part with the number 10 from the box. Event B is...
A. an impossible event
B. a certain event
C. an elementary event
D. impossible to determine
3.Out of 25 shots, 20 hit the target. The relative frequency of hits is...
A. 5/25
B. 5/20
C. 25/20
D. 20/25
4.In a certain month, 43 boys and 57 girls were born. The relative frequency of boys born in that month is...
A. 43/57
B. 57/43
C. 43/100
D. 57/100
5.There are twelve balls in a jar, labeled with numbers from 1 to 12. The probability that drawing a ball will result in a number divisible by 3 is...
A. 1/12
B. 1/4
C. 1/3
D. 1/2
6.The probability that a part is of good quality is 0.75. Calculate the probability that it is not of good quality.
A. 0.25
B. 1
C. 0.75
D. 0.25/0.75
7.Two coins are flipped. The probability that at least one coin lands heads up is...
A. 0.25
B. 0.5
C. 0.75
D. 1
8.A fair die is rolled. The probability of rolling a 2 is...
A. 1/6
B. 5/6
C. 1/3
D. 2/3
9.From a deck of cards containing 36 cards, one card is drawn. Calculate the probability that the drawn card is a spade.
A. 1/4
B. 1/6
C. 1/9
D. 1/36
10.There are 2 white and 8 black marbles in a bag. Calculate the probability of randomly selecting a white marble.
A. 1/5
B. 1/4
C. 3/4
D. 1/36
11.Two dice are rolled. Calculate the probability that the sum of the numbers rolled is 5.
A. 1/36
B. 1/9
C. 5/36
D. 1/6
12.Jānis usually throws a ball into the basket with a probability of 0.68. Calculate how many times he will throw the ball into the basket if he makes 50 throws.
A. 8
B. 16
C. 34
D. 0.44
13.Two dice are rolled. The probability that at least one of them shows 4 points is...
A. 1/6
B. 1/9
C. 11/36
D. 1/3
14.A worker regulates two independent machines. The probability of needing to regulate the first machine within an hour is 0.8, and for the second machine it is 0.7. Calculate the probability that both machines need to be regulated within an hour.
A. 0.44
B. 0.56
C. 0.2
D. 0.3
15.Targets are arranged in two concentric rings with radii R and 4R. It is known that a shot hit the target. Calculate the probability that the shot hit the smaller ring.
A. 1/4
B. 1/3
C. 1/16
D. 1/9
16.In a lottery with 20 tickets, 4 tickets are winning tickets. Ilze buys one ticket. Calculate the probability that her ticket is a winning ticket.
A. 1/4
B. 1/5
C. 1/20
D. 4/5
17.Two friends meet. Calculate the probability that both of them were born on a Saturday.
A. 1/7
B. 2/7
C. 2/49
D. 1/49
18.A student has learned 7 out of 8 questions. In a test, two of these questions will be included. Calculate the probability that the student knows both of these questions.
A. 7/8
B. 49/56
C. 42/64
D. 3/4
19.There are 4 cards in an envelope labeled with the letters A, P, S, E. Successively, three cards are drawn from the envelope without replacement. Calculate the probability that the cards are drawn in the order A, P, E.
A. 1/6
B. 1/12
C. 1/24
D. 3!/4!
20.Two dice are rolled simultaneously. Calculate the probability that the sum of the numbers rolled is 14.
A. 1
B. 14/36
C. 1/36
D. 0
Step-by-step explanation:
Event A is a certain event because with 14 girls and only 12 months in a year, by the pigeonhole principle, there must be at least two girls who were born in the same month.
Event B is an elementary event because there is only one part labeled with the number 10 out of 75 parts in the box, so the probability of drawing that part is 1/75.
The relative frequency of hits is calculated by dividing the number of hits by the total number of shots. In this case, it is 20/25.
The relative frequency of boys born in that month is calculated by dividing the number of boys born by the total number of births. In this case, it is 43/100.
There are four balls labeled with numbers divisible by 3 (3, 6, 9, and 12) out of twelve balls in total. So the probability of drawing a ball with a number divisible by 3 is 4/12 = 1/3.
The probability that a part is not of good quality is equal to 1 minus the probability that it is of good quality. In this case, it is 1 - 0.75 = 0.25.
The probability that at least one coin lands heads up is equal to 1 minus the probability that both coins land tails up. The probability that both coins land tails up is (1/2) * (1/2) = 1/4. So the probability that at least one coin lands heads up is 1 - 1/4 = 3/4.
A fair die has six equally likely outcomes when rolled. So the probability of rolling a 2 is 1/6.
A deck of cards containing 36 cards has four suits: clubs, diamonds, hearts, and spades. Each suit has nine cards, so there are nine spades in the deck. So the probability of drawing a spade is 9/36 = 1/4.
There are two white marbles and ten marbles in total in the bag. So the probability of randomly selecting a white marble is 2/10 = 1/5.
There are four ways to roll two dice and get a sum of five: (1,4), (2,3), (3,2), or (4,1). Each outcome has a probability of (1/6) * (1/6) = 1/36. So the probability that the sum of the numbers rolled is five is 4 * (1/36) = 1/9.
If Jānis throws a ball into the basket with a probability of 0.68 and he makes 50 throws, we can expect him to throw the ball into the basket about 0.68 * 50 = 34 times.
The probability that at least one die shows four points when two dice are rolled can be calculated as one minus the probability that neither die shows four points: P(at least one die shows four points) = = 1 - P(neither die shows four points) = 1 - P(first die does not show four points) * P(second die does not show four points) = 1 - (5/6) * (5/6) =11/36
If two events are independent, then the probability that both events occur simultaneously can be calculated as the product of their probabilities: P(both machines need to be regulated within an hour) = = P(first machine needs to be regulated within an hour) * P(second machine needs to be regulated within an hour) =0.8 *0.7 =0.56
15.The area of a circle is proportional to the square of its radius so if we consider each ring as a target then their areas will be proportional to R^2 and (4R)^2 respectively. The ratio between these areas will be R^2 : (4R)^2 = R^2 :16R^2 =1:16 So if we consider each unit area as having an equal chance to be hit then we have: P(the shot hit the smaller ring)= Area(smaller ring)/(Area(smaller ring)+Area(larger ring))=1/(16+1)=1/17
16.There are four winning tickets out of twenty tickets in total in a lottery so if Ilze buys one ticket then her chance to get a winning ticket will be: P(Ilze’s ticket is a winning ticket)= Number of winning tickets / Total number of tickets=4/20=1/5
17.The day on which someone was born can be any day from Monday to Sunday with equal chances so if we consider two friends then: P(both friends were born on Saturday)=P(first friend was born on Saturday)P(second friend was born on Saturday)=(1/7)(1/7)=1/49
18.The student knows seven out of eight questions so if two questions are included in a test then his chance to know both questions will be: P(the student knows both questions)= Number of ways to choose two known questions / Number of ways to choose any two questions=(7 choose 2)/(8 choose 2)=21/28=3/4
19.There are four cards labeled with letters A,P,S,E so if three cards are drawn successively without replacement then there will be: Number of ways to draw three cards=Number of ways to draw first cardNumber of ways to draw second cardNumber of ways to draw third card=432=24 The only way for these cards to be drawn in order A,P,E will be if they are drawn successively as A,P,E so: P(the cards are drawn in order A,P,E)=Number of ways for cards to be drawn in order A,P,E / Number of ways for any three cards to be drawn=1/24
20.Two dice have six faces each so when they are rolled simultaneously there will be: Number of possible outcomes=Number of faces on first dieNumber of faces on second die=66=36 None of these outcomes will result in a sum equal to fourteen so: P(the sum of numbers rolled equals fourteen)=0
Classify LMN by its side lengths and by its angles
Answer:
Step-by-step explanation:
Based on the given side lengths, LM=5cm, LN=5cm, and MN=4cm, we can classify the triangle LMN by its side lengths and angles.
By Side Lengths:
Since all three sides of the triangle have different lengths, we classify it as a scalene triangle. A scalene triangle is a triangle in which all three sides have different lengths.
By Angles:
To determine the classification based on angles, we can use the Law of Cosines to find one of the angles. Let's find angle LMN using the Law of Cosines:
c² = a² + b² - 2ab * cos(C)
where c is the side opposite angle C.
In this case, a=5cm, b=4cm, and c=5cm.
Substituting the values, we have:
5² = 5² + 4² - 2 * 5 * 4 * cos(C)
25 = 25 + 16 - 40 * cos(C)
25 = 41 - 40 * cos(C)
40 * cos(C) = 41 - 25
40 * cos(C) = 16
cos(C) = 16/40
cos(C) = 0.4
Now, we can use the inverse cosine (cos⁻¹) function to find angle C:
C = cos⁻¹(0.4)
C ≈ 66.42 degrees
Since we know the value of angle C, we can determine the remaining angles using the Triangle Angle Sum Property, which states that the sum of the angles in a triangle is always 180 degrees.
Angle LNM = Angle LMN = 180 - (66.42 + 90)
Angle LNM ≈ 23.58 degrees
Therefore, based on the angle measurements, triangle LMN can be classified as an acute scalene triangle since all three angles are less than 90 degrees and all three sides have different lengths.
Jeremy wants to construct an open box from an 18-inch square piece of aluminum. He plans to cut equal squares, with sides of x inches, from each
corner and then fold each side up to form the box. If Jeremy wants the volume of the box to be 432 cubic inches, what should the minimum length
of the sides of the squares cut from each corner be? Find the volume of the box as a function of x. Given: V = length x width x height
a.
The volume of the box V = 4x³ - 72x² + 324x
Since the dimensions of the square piece of paper are 18 inches each, and we cut out a length x from each side to give a total length of 2x cut from each side. So, each dimension is L = 18 - 2x.
Since the height of the open box is x and its base is a square, the volume of the open box ix V = L²x
= (18 - 2x)²x
= (324 - 72x + 4x²)x
= 324x - 72x² + 4x³
The volume of the box V = 4x³ - 72x² + 324x
b.
The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.
the length of the box, L = 12 inches, the width of the box = 12 inches and the height of the box, x = 3 inches.Since the volume of the box is 432 cubic inches,
V = 324x - 72x² + 4x³
324x - 72x² + 4x³ = 432
4x³ - 72x² + 324x - 432 = 0
x³ - 18x² + 81x - 108 = 0
A factor of the expression is x - 3
So, x³ - 18x² + 81x - 108 ÷ x - 3 = x² - 15x + 36
So, x³ - 18x² + 81x - 108 = (x² - 15x + 36)(x - 3) = 0
Factorizing the expression x² - 15x + 36 = 0
x² - 3x - 12x + 36 = 0
x(x - 3) - 12(x - 3) = 0
(x - 3)(x - 12) = 0
So, x³ - 18x² + 81x - 108 = (x - 3)(x - 3)(x - 12) = 0
So, (x - 3)²(x - 12) = 0
(x - 3)² = 0 and (x - 12) = 0
x - 3 = √0 and x - 12 = 0
x - 3 = 0 and x - 12 = 0
x = 3 twice and x = 12
Since x = 3 is the minimum value, the minimum value of x = 3.
Since the length of the box, L = 18 - 2x
= 18 - 2(3)
= 18 - 6
= 12 inches
The width of the box = L = 12 inches
The height of the box = x = 3 inches.
So,
The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.
the length of the box, L = 12 inches, the width of the box = 12 inches and the height of the box, x = 3 inches.Learn more about volume of a box here:
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2\0.1 x 10\10 = it would help me a lot
Answer:
The answer is1 thank you
Solve 2(x + 1) + 4 = 8.
In a survey conducted on an SRS of 200 American adults, 72% of them said they believed in aliens Give a 95% confidence interval for percent of American adults who believe in aliens 6. Section 7.2; Problem 6: Have the assumptions been met? A. Yes. Values of 72 and 28. B. Yes. Values of 144 and 56. C. Yes. Values of 14400 and 5600. D. No. Values of 0.72 and 0.28. E. No. Values of 14.4 and 516
The assumptions been met (0.6581,0.7819).
What is American adults?
In 2020, the U.S. Census Bureau counted 331.4 million people living in the United States; more than three-quarters (77.9%) or 258.3 million were adults, 18 years or older — a 10.1% increase from 234.6 million in 2010.
Given that.
\($$\begin{aligned}& p=0.72 .(1-p)=1-0.72=0.28 \\& n=200 .\end{aligned}$$\)
At \($95 \%$\) confidence level x value is 1.96
z=1.96
So r
A 95 % confidence interval bor percent of American adults who beleive in Aliens is,
\($$\begin{gathered}p \pm 2 \sqrt{\frac{p \times q}{n}} \\\therefore 0.72+1.96 \sqrt{\frac{0.72 \times 0.28}{200}} \\\therefore 0.72 \pm 1.96 \sqrt{0.0010} \\0.72 \pm 0.0619 \\\therefore \quad(0.6581,0.7819)\end{gathered}$$\)
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Camden drove 34 miles in 4/5 hours. On average, how fast did he drive, in miles per hour?
The rate at which body cover distance is given by speed.
The formual for the speed is,
\(s=\frac{d}{t}\)For the given question, distance is d=34 miles and time is t=4/5 hours.
Substitute the value in the formula to obtain the speed of Camden.
\(\begin{gathered} s=\frac{34\text{ miles}}{\frac{4}{5}\text{ hr}} \\ =\frac{34\cdot5}{4}\text{ miles/hr} \\ =\frac{85}{2}\text{ miles/hr} \end{gathered}\)So the speed at which camden cover distance is 85/2 miles per hour.
Area of a circle- pls pls pls help me- I'll give Brainly answer and big points.
Answer: The answer is 12.57 because the formula is The area of a circle is pi times the radius squared (A = π r²). Hope this helps.
Step-by-step explanation:
If A=-5, then 2a=-10
Answer:
your right it does
Step-by-step explanation:
Simplify the expression: – 9+ – 10h+4h+8
Answer:
-6h - 1
Step-by-step explanation:
-9 + (-10h) + 4h + 8
-9 + (-6h) + 8
-6h - 1
For the right triangles below, find the exact values of the side lengths a and h. If necessary, write your responses in simplified radical form. pad 309 8 Х X S 45° 0 60° 3 h
First Triangle:
This is a special right-angled triangle and is known as 45°-45°-90° triangle
To solve for any side length, we can use the following procedure.
As you can see, the sides opposite to the 45° are equal and in this case, both are 3
Then the side opposite 90° will be
\(3\sqrt[]{2}\)Therefore, the side a = 3√2
Second Triangle:
This is a special right-angled triangle and is known as the 30°-60°-90° triangle.
To solve for any side length, we can use the following procedure.
As you can see, the side opposite the 30° is the smallest.
The side opposite the 60° is 2 times the side 30°
The side opposite the 90° is √3 times the side 30°
For the given case, we want to know the side opposite of side 30°
We are given the side opposite the 60° that is 8
\(\begin{gathered} 2h=8 \\ h=\frac{8}{2} \\ h=4 \end{gathered}\)Therefore, side h = 4
consider 2 stocks a and b. over a period of time, the jensen’s alpha for stock a was 0.5 and the jensen’s alpha for stock b
The information provided is incomplete as the Jensen's alpha for stock B is missing. Without the Jensen's alpha for stock B, we cannot draw any conclusions about its performance or compare it to stock A. Jensen's alpha is a measure used in finance to assess the risk-adjusted performance of an investment relative to a benchmark. It captures the excess return of the investment above what would be expected based on its risk exposure. To make a meaningful analysis or comparison between stock A and stock B, we would need to know the Jensen's alpha for both stocks or have additional information about their performance metrics or risk profiles.
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GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
1
Answer:
(5,-1) Hope It Help
Step-by-step explanation:
Brainliest please
Please help and solve this! Have a blessed day!
Answer: 8
Step-by-step explanation:
CF looks like the radius of the circle.
ED looks like the diameter.
.: ED = 2 x CF = 2 x 4 = 8
.: ED = 8
Answer:
The length of ED, or the diameter, is 8
Step-by-step explanation:
As the other person explained, CF is the radius, as the radius is from the centermost point to the edge. I also see that ED is the diameter, as the diameter is from edge to edge, going through the centermost point. Therefore, since the diameter is double the radius, we can solve this with the following equation:
2 * r = d, where r is radius and d is diameter.
2 * 4 = d
8 = d
When Luis was 4 years old, his parents put $6,500 into a college fund account that earned 3.5% interest. What is the total amount in the account when Luis starts college at 18 years old? (there are no answer choices)
Answer: LOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOL FAT NECK AHH BOY
The following system of linear equations has
-3x + 7y = 10
3x + 7y = -8
Write the equation for the area of a triangle.
Answer:
area = 1/2 x base x height
Step-by-step explanation:
i got you bro
Jonathan is making his favorite pasta dish. His mom ate 2/7 of the pasta, and his brother ate 1/6 of the pasta. How much did they eat in all?
Answer:
23/42
Step-by-step explanation:
2/7 = 12/42
1/6 = 7/42
12/42 + 7/42 = 19/42
42/42 - 19/42 = 23/42
20 points do all thanks
Answer:
so you don't have to give me points but I can explain how to do it
Step-by-step explanation:
so for number 1. it says y=3x-7 and the equation is 5x+4y=6
so basically your plugging in y so
5x+5(3x-7)=6 and you will get your answer