Answer:
slope=2
Step-by-step explanation:
y-y=m(4-3)
5-3=m(4-3)
2=m(1)
2/1=m
m=2
Is the equation of the new parabola 0.1? Please let me know because I’m confused.
Answer:
y=[tex]\frac{1}{10} x^2[/tex]
Step-by-step explanation:
You're partially correct.
Let me explain:
When a parabola is scaled vertically, think of it this way: a parabola is being stretched up or smooshed downwards, by some math god who can defy all forms of life and dimensions.
When a parabola, in y=a[tex]x^{2}[/tex], is shifted vertically, when a>1, it appears 'skinnier'. The parabola went on a diet! However, when 0<a<1, the parabola seems wider and fat.
Knowing this knowledge, when factored vertically by a factor of x, it means that it is the coefficient of the parent graph y=a[tex]x^{2}[/tex], which means 1/10 goes before [tex]x^{2}[/tex].
Summing all of this up, your answer would have the equation of the new parabola as y=[tex]\frac{1}{10} x^2[/tex]
Scaled vertically means not reflected over x axis .
y=x^2Here
a=1Now it's vertically scaled
so
|a|=1/10=0.1New equation
y=0.1x^2In a manufacturing plant, three machines A,B, and C produce 40 %, 35 %, and 25 %, respectively, of the total production. The company's quality control department determined that 1 % of the items produced by machine A, 1.5 % of the items produced by machine B, and 2 % of the items produced by machine C are defective. If an item is selected at random and found to be defective, what is the probability that it was produced by machine B
Answer:
Approximately [tex]37\%[/tex].
Step-by-step explanation:
Let [tex]X[/tex] denote the machine that produced the item. Let [tex]Y[/tex] denote whether the item was defective or not. (Let [tex]Y = 1[/tex] if the item is defective and [tex]Y = 0[/tex] otherwise.)
The question is asking for the probability of the event [tex]X = B[/tex] (the selected item was produced by machine [tex]B[/tex]) given that [tex]Y = 1[/tex] (the selected item was defective.) This probability could be denoted as: [tex]P(X = B \; | \; Y = 1)[/tex].
Quantities given in this question are:
[tex]P(Y = 1\; | \; X = A)[/tex], [tex]P(Y = 1\; | \; X = B)[/tex], and [tex]P(Y = 1\; | \; X = C)[/tex], as well as[tex]P(X = A)[/tex], [tex]P(X = B)[/tex], and [tex]P(X = C)[/tex].Apply Bayes' Theorem to express [tex]P(X = B \; | \; Y = 1)[/tex] in terms of these quantities. By Bayes' Theorem:
[tex]\begin{aligned} & P(X = B\; | \; Y = 1) \\ =\; & \frac{P(X = B\; \cap Y = 1)}{P(Y = 1)}\\ =\; & \frac{P(Y = 1\; |\; X = B)\, P(X = B)}{P(Y = 1)}\end{aligned}[/tex].
Find the value of [tex]P(Y = 1)[/tex] (probability that a random item from this plant is defective) by marginalizing over all possible values of [tex]X[/tex]. This value is like a weighted average of the defective rate of each machine. The weights here would be the percentage of items produced by each machine.
[tex]\begin{aligned}& P(Y = 1) \\=\; & P(Y = 1\; | \; X=A)\, P(X = A) \\ &+ P(Y = 1\; |\; X = B)\, P(X = B) \\ & + P(Y = 1\; |\; X = C)\, P(X = C) \\ =\; & 0.01 \times 0.40 \\ &+ 0.015 \times 0.35 \\ &+ 0.02 \times 0.25 \\ =\; & 0.01425\end{aligned}[/tex].
Substitute in the given quantities [tex]P(Y = 1\; |\; X = B) = 0.015[/tex] and [tex]P(X = B) 0.35[/tex] into the expression from Bayes' Theorem:
[tex]\begin{aligned} & P(X = B\; | \; Y = 1) \\ =\; & \frac{P(Y = 1\; |\; X = B)\, P(X = B)}{P(Y = 1)} \\=\; & \frac{0.015 \times 0.35}{0.01425} \\\approx\; & 0.37 = 37\%\end{aligned}[/tex].
A jar contains 1200 ml of milk.
How many litres and ml of milk is in
the jar?
Answer:
1.2 liters
Step-by-step explanation:
what two negative numbers have a product of 16 and a sum of -17
Answer: it's = 1
Step-by-step explanation:
A cylindrical bucket contains 615 cubic inches of water the heigh of the water is 4 inches what is the radius of the bucket to the nearest whole number
Answer:
Your answer is: 5 or 6 inches
Step-by-step explanation:
Hope this helped : )
You are renting a beach house for the summer. The cost of renting the beach house plus the one-time security deposit is represented by the equation y = 151x + 575 , where represents the number of days that the beach house is rented and y is the total cost of the rental. What is the cost of the security deposit ?
Will mark the brainliest!
Please someone explain this to me. Needs to be tonight!
Answer:
The one-time security deposit is just 575, if you add it to the cost of renting the beach house, you then get y, which is the total cost of everything. haha, its logical.
so,
The one-time security deposit is just 575.
and
The cost of renting the beach house is 151x.
while
The total cost of the rental is y, i.e 151x + 575.
Answer:
575Step-by-step explanation:
The answer is included in the question already
The cost of renting = security deposit + rental per day
y - is total cost of rentingOne off security deposit = 575Rental cost = 151 per daySo the answer is 575
Question 13
2 pts
If a person bought a bike for $400 and sold it for $500. What is their rate of return?
0 25%
None of the Above
05%
20%
Question 14
2 pts
If you bought 1000 shares of a Vanguard Mutual Fund for $145 a share two years
Answer:
For question 13: 25%
Step-by-step explanation:
25 out of one hundred is one fourth
25 percent of 400 is one hundred
since 4 one hundreds go into 400
take one fourth and you get one hundred
500-400=100
so 25%
I dont know what the second question is asking
A bag contains 8 white, 5 red and 7 black balls. If three balls are picked out one at a time at random and not returned to the bag (i.e. without replacement). What is the probability that in the sample there will be 3 red balls.
Answer:
15 percent
Step-by-step explanation:
3/20 multiply the fraction by 5 to equal 100, thus creating 15/100
Someone help ASAP pls helph
Answer:
103
Step-by-step explanation:
For any Triangle, The Sum of Interior Angles = 180°
So, For Triangle ABC ---> m∠A + m∠B + m∠C = 180°
By Substituting by the Givens m∠A =68 and m∠B=9
68 + 9 + m∠C = 180
77+ m∠C=180
Subtract 77 from both Sides
m∠C=180-77=103°
A revenue department is under orders to reduce the time small business owners spend filling out pension form ABC-5500. Previously the average time spent on the form was 5.2 hours. In order to test whether the time to fill out the form has been reduced, a sample of 60 small business owners who annually complete the form was randomly chosen, and their completion times recorded. The mean completion time for ABC-5500 form was 4.5 hours with a standard deviation of 1.6 hours.
Required:
In order to test that the time to complete the form has been reduced, state the appropriate null and alternative hypotheses.
Considering the situation described, we have that:
The appropriate null hypotheses is [tex]H_0: \mu = 5.2[/tex].The appropriate alternative hypotheses is [tex]H_1: \mu < 5.2[/tex].What are the hypotheses tested?At the null hypotheses, it is tested if the mean has not been reduced, that is, it still is of 5.2 hours, hence:
[tex]H_0: \mu = 5.2[/tex].
At the alternative hypothesis, it is tested if the mean has been reduced, that is, it is now of less than 5.2 hours, hence:
[tex]H_1: \mu < 5.2[/tex]
More can be learned about hypotheses tests at https://brainly.com/question/26454209
if f(x) = -5x+11, then f^-1(x)=
Answer:
f(x)= -5x-11
y= -5x-11
x= -5y-11
x+11= -5y
[tex]\frac{x=11}{-5} =y\\f-1=\frac{x+11}{-5}[/tex]
Step-by-step explanation:
Hope this helps.
If the discriminant of an equation is zero, which of the following is true of the
equation?
A. It has two complex solutions.
B. It has two real solutions.
C. It has one complex solution.
D. It has one real solution.
SUBMI
Answer:
Step-by-step explanation:
if the discriminate is 0, it means that both roots are the same. Not only that, but it also means that the roots are real. I would pick D, but realize that that is the expected answer and the answer could be B, depending on how the person writing the problem thinks about it.
Find two integers whose sum is 5 and whose product is 6.
Answer:
2 and 3
Step-by-step explanation:
2+3=5
2*3=6
What gradient is shown on the graph
Answer:
-3
Step-by-step explanation:
Changes y Divided by changes x
GIVING BRAINLIEST AND 100 POINTS! (Only if you include explanation)
6- 1 4/6?
Answer:
4 1/3
Step-by-step explanation:
6-1 4/6
5 6/6-1 4/6
66-4/6=1/3
4+1/3
=4 1/3
Answer:
[tex]\sf 4\dfrac{1}{3}[/tex]
explanation:
[tex]\hookrightarrow \sf 6 - 1\dfrac{4}{6}[/tex]
turn mixed to improper fraction
[tex]\hookrightarrow \sf 6 - \dfrac{10}{6}[/tex]
make the denominators same
[tex]\hookrightarrow \sf \dfrac{6(6)}{6} - \dfrac{10}{6}[/tex]
expand
[tex]\hookrightarrow \sf \dfrac{36}{6} - \dfrac{10}{6}[/tex]
simplify, join both fractions together
[tex]\hookrightarrow \sf \dfrac{36-10}{6}[/tex]
simplify
[tex]\hookrightarrow \sf \dfrac{26}{6}[/tex]
[tex]\hookrightarrow \sf \dfrac{13}{3}[/tex]
change improper to mixed fraction
[tex]\hookrightarrow \sf 4\dfrac{1}{3}[/tex]
A blueprint of a barn is shown.The scale is 5 inches =8 feet. Find the actual length of the wall that is labeled 20 inches.
Twenty pounds of a salt-water solution contains fifteen percent salt. How much salt is in the water?
2 lb
1.5 lb
3 lb
Answer:3
Step-by-step explanation:
15 percent of 20 pounds is 17 subtract 17 from 20 equals 3
I really need help answering this question, the question is the attachment below.
Answer:
49.6
Step-by-step explanation:
Answer:
Please mark as brainliest;)
Please answer this correctly without making mistakes
If a string is 28cm, what is the length of the side of a square?
Answer:
hope will help you
good afternoon
Here is the question
Answer:
Step-by-step explanation:
The curve is maybe a bit easier to visualize if you write it as x = 4sin(y). The area is
∫[0,π/2] (4-x) dy
= ∫[0,π/2] (4-4sin(y)) dy = 2π-4
∫4-4sin(y) dy = 4y + 4cos(y)
This is a bit easier than using vertical strips, where the area is
∫[0,4] arcsin(x/4) dx
since integrating arcsin(x/4) involves integration by parts.
u = arcsin(x/4)
du = 1/√(16-x^2) dx
dv = dx
v = x
∫arcsin(x/4) dx
= x arcsin(x/4) - ∫x/√(16-x^2) dx
= x arcsin(x/4) + √(16-x^2)
What is the area of this shape?
Answer:
A = 35.1
Step-by-step explanation:
Formula:
(1/2) × Apothem × Perimeter
Apothem: 7.8 in.
Perimeter: 9 in.
A = 1/2 × 7.8 × 9
A = 35.1
Hope it helps!!!Brainliest pls!!!Answer: 35.1
Formula is 1/2 (apothem x perimeter)
i need help...
(25 points)
Answer:
Problem:
Nonoy sells newspaper in the morning. He gets Php 5 per newspaper sold and a Php 30 a day tip from the supplier. How much does he earn if he sells 30 newspapers in one day?
Given:
Php 5 per newspaper sold and a Php 30 a day tip from the supplier
Formula:
5 x 30 + 30 (tip from the supplier)
Solution:
5 x 30 = 150
150 + 30 tip from the supplier = 180
Final Answer:
180 pesos
Step-by-step explanation:
-3
6
9
10
Espalio
14
12
13
A family has two cars. During one particular week, the first car consumed 20 gallons of gas and the second consumed 40 gallons of gas. The two cars drove a
combined total of 1700 miles, and the sum of their fuel efficiencies was 50 miles per gallon. What were the fuel efficiencies of each of the cars that week?
Note that the ALEKS graphing calculator can be used to make computations casier
Answer:
the fuel efficiencies of the first car was 15 while the second car was 35
This figure represents a small plastic container.
What is the volume of the container?
3648 mm³
11,520 mm³
14,400 mm³
15,360 mm³
Answer:
The answer is 11,520 mm³
Step-by-step explanation:
Here proof
Answer: 11,520
Step-by-step explanation:
∆ area = 24*32=768/2 =384
Now multiply 384 by height 30=11,250³
24*32*30/2 = 11 520 mm³
or
V=1/2bhl
11,250³ =1/2(24*32*30)=23040
=1/2 or 0.5 * 23040= 11,250³
Find the height of a cone with a diameter of 12 m whose volume is 904 m3.
Use 3.14 for 1 and round your answer to the nearest meter.
A. 24 m
B. 8 m
C. 48 m
D. 6 m
Answer:
24 m that is the answer to the question
The height of the cone is 24 meters.
Option A is the correct answer.
What is a cone?It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.
We have,
The formula for the volume of a cone.
V = (1/3)πr²h
Where r is the radius of the base and h is the height.
The diameter of the cone = 12 m.
So,
The radius is half of the diameter:
r = 12/2
r = 6 m
Now,
The volume of the cone is 904 m³.
Substituting the known values into the formula.
904 = (1/3) × 3.14 × 6 x 6 × h
Simplifying the equation.
904 = 37.68 h
Dividing both sides by 37.68.
h = 23.99
h = 24
Therefore,
The height of the cone is 24 meters.
Learn more about cones here:
https://brainly.com/question/13798146
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Hellllllllllllllllllllllpp
Answer:
D
Step-by-step explanation:
No explanation anymore I just don't want to anymore lol.
Congratulations! You just landed your dream job. You have three choices for your salary. Which of the following options would result in the greatest payday at the end of your first month of employment?
a. You can receive a lump sum of $1,500,000.
b. You can receive $50,000 initially and $100,000 per day for the next 30 days.
c. You can receive $.02 on the first day and double the amount received each day for the next 30 days.
Answer:
(b)
Step-by-step explanation:
a=1,500,000
b=3,050,000
Receiving $50,000 initially and $100,000 per day for the next 30 days, would result in the greatest payday at the end of the first month of employment, with a total amount of $3,050,000
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To determine which option would result in the greatest payday at the end of the first month of employment, let's calculate the total amount for each option:
a)
Lump sum of $1,500,000
The total amount is $1,500,000.
b)
$50,000 initially and $100,000 perday for the next 30 days
The total amount is $50,000 (initial) + $100,000/day * 30 days
T = $50,000 + $3,000,000
On simplifying the equation , we get
T = $3,050,000
Hence , receiving $50,000 initially and $100,000 per day for the next 30 days would result in greater payday
To learn more about equations click :
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Please help!!!!!
Solve for X and Y
What is the value of 6C5?
A. 6
B. 24
C. 30
D. 720
Answer:
A
Step-by-step explanation:
Using the combinations formula, we get (6!)/(5! 1!)=6.