Answer:
Step-by-step explanation:
vertex and focus are horizontally aligned, so parabola is horizontal.
focal length p = distance between focus and vertex = 0.25
focus lies to the left of vertex, so the parabola opens to the left.
x = a(y-k)² + h,
vertex (h,k)
a = -1/(4p)
vertex (-6,5)
h = -6
k = 5
p = 0.25
a = -1/(4·0.25) = -1
x = -(y-5)² - 6
A class contains 10 sophomores, 15 juniors, and 20 seniors. A committee of 5 students is to be chosen. Each student is equally likely to be selected to serve on the committee. Let A be the event exactly 3 juniors are selected to serve on the committee. Let B be the event exactly 2 seniors are selected to serve on the committee.
Required:
a. Find P(A)
b. Find P(A| B)
Answer:
P(A) = 0.1620 , P(A|B) = 0.0707
Step-by-step explanation:
Total people = 10 + 15 + 20 = 45 , Sophomores = 10, Juniors = 15 , Seniors = 20
P(A) , exactly 3 juniors selected = (15 c 3) (30 c 2) / (45 c 5) = (455 x 435) / 1221759 = 0.1620
P (B) , exactly 2 seniors selected = (20 c 2) (25 c 3) / (45 c 5) = (190 x 2300)/ 1221759 = 0.3576
P(A|B), exactly 3 juniors & exactly 2 seniors selected = P (A∩B) / P (B)
(15 c 3) (20 c 2) / (45 c 5) = (455 x 190) / 1221759 = 0.0707
HOW TO CONSENTRATE ON STUDY?
Answer:
Listen to music or watch a video about what your about to study. Or do what I do... eat while studying
Step-by-step explanation:
Write an equation in point slope form of equation of line
point (7,10) and has a slope of -2?
Answer:
[tex]y-10=-2(x-7)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the given point
Plug in the slope
[tex]y-y_1=-2(x-x_1)[/tex]
Plug in the given point (7,10)
[tex]y-10=-2(x-7)[/tex]
I hope this helps!
Write the slope of a line that is parallel to the following line:
Answer:
y = 1/5x + 3
Step-by-step explanation:
To have a parralel line to another line, have the slopes of the lines be the same, just change the y- intecept. HOPE THIS HELPS!
a bakerysells a cake for 250.00 pesos. the labor cost 32.50pesos per cake.flour costs 31.85pesos.other costs add up to 92.10pesos.what is bakery's profit on each cake.what is the operation to be used?
deduct one whole number from the other number
If 5 people shared
1
of a ton of rocks, how much will each person get?
15
0 75 tons
1
05 tons
55
25 tons
1
tons
75
Answer:
I need help with this to!
What are 2 things you notice about the non-linear equation?
Answer:
An equation in which the maximum degree of a term is 2 or more than two is called nonlinear equations. For example 3x2 + 2x + 1 = 0, 3x + 4y = 5, this are the example of nonlinear equations, because equation 1 have highest degree of 2 and second equation have variable x and y.
Please help!!! Find the volume of the cylinder.
Round to the nearest tenth.
r= 3 cm
3 cm
V = [ ? ] cm3
Enter the number that goes in the green box.
Answer:
V ≈ 84.8 cm³
General Formulas and Concepts:
Math
π (pi) - 3.14159265RoundingPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Identify Variables
Radius r = 3 cm
Height h = 3 cm
Step 2: Find Volume
Substitute in variables [Volume Formula]: V = π(3 cm)²(3 cm)[Volume] Evaluate exponents: V = π(9 cm²)(3 cm)[Volume] Multiply: V = 27π cm³[Volume] Multiply: V = 84.823 cm³[Volume] Round: V ≈ 84.8 cm³(m 3 + m 2 - 39m + 21) ÷ (m + 7)
Answer:
Quotient = m2-6m+81 Remainder = -560
Step-by-step explanation:
in the pic above
A phone salesperson is paid a minimum weekly salary and a commission for each phone sold, as shown in the table. Confirm that the relationship is linear and give the constant rate of change and the initial value. Write it in the form of y=mx+b. *
Answer:
i do not know that one
Step-by-step explanation:
I usely use desmos but thanks to my idiot dad i can't do that after 2 weeks he should be punished
3 tons of cement cost $780.00. What is the price per pound?
Answer:
$260
Step-by-step explanation:
Divide $780.00 by 3.
780 ÷ 3 = $260
A circle garden has a diameter of 12 yards what is the area of the garden use 3.14 for pie
Answer:
37.7 ft
Step-by-step explanation:
The captain of the basketball team wants to determine where the team should go for their end-of-season celebration. Which of the following is a representative sample? Select all that apply.
A.
The students in her homeroom
B.
Players whose names are randomly selected from a hat
C.
The players in the starting lineup
D.
All players over 5 feet tall
E.
Every 5th player selected from an alphabetical roster of the team
The representative samples are Players whose names are randomly selected from a hat and Every 5th player selected from an alphabetical roster of the team. (Option B and E).
What is Representative Sample?A representative sample is a subset of a larger population that accurately reflects the characteristics, diversity, and distribution of the entire population. When conducting research or making decisions based on data, it is often impractical or impossible to collect information from every individual in the population. Instead, researchers or decision-makers select a representative sample to draw conclusions or make inferences about the entire population.
For a sample to be considered representative, it should be selected in a way that ensures each member of the population has an equal or proportional chance of being included. In the given problem, both options provide a fair chance for each team member to be included in the selection for the end-of-season celebration destination.
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Milo has 5 nickels. Milo has 6 fewer nickels than Elliott. How many nickels does Elliott have?
Answer:
11
Step-by-step explanation:
x - 6 = 5
Factorise
7lm - 21lmn
Answer:
7lm - 21lmn
taking common
7lm(1-3n)
Can someone help me out please ? Will give brainiest answer. Need all 6
Step-by-step explanation:
tell me the math problem I will tell u the answer its blurry
Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)
Answer:
72
Step-by-step explanation:
(a+b)h / 2
(9+15)6 / 2
24 x 6 / 2
72
I hope im right!!
Roger has 47 cars. Can they be grouped in more than two ways?
Answer:
Is there more context? Like an image, describing what cars there are?
Step-by-step explanation:
You can sort cars by model type, brand, color, style, etc. So yes, unless there is only 2 types of car types/brands/colors/style etc
Which graph represents-5x+4y≥-1?
Answer:
D!
Step-by-step explanation:
Desmos has a free graphing calculator for future references :)
What is the value of the expression shown? 6+43 – 8:2
Answer:
i'm sorry i think math is too hard could u help me
Step-by-step explanation: i understand the math problem
Can someone please help me I’m desperate it due tomorrowwww
Answer:
Step-by-step explanation:
First box: m=1/2
Second box: m=2
Third box: m=1
Fourth box: m=2
Help with this please
Answer:
The is no picture
Step-by-step explanation:
Answer:
with what???
Step-by-step explanation:
Answer the question
12 girls are having a sleepover at a house, the food there can last them for 10 days. If 3 more girls came over, how long will food last
Answer:
The answer is 8
Step-by-step explanation:
12*10=120 120/15=8
PLEASE HELP 20 POINTS
Stephen and Chelsea want to increase the volume of this prism by 72 cubic centimeters. Chelsea wants to add eight layers, and Stephen says they only need to add four layers. Their teacher tells them they are both correct. Explain how this is possible.
Step-by-step explanation:
2.
- the volume of initial prism is 3*3*6=54 cm³;
- the number of cubics of the requested 72 cm³ is 72;
- 'Chelsea wants to add eight layers' means 72=3*3*8 cubics, then one layer in this case consists of 3x3 cubics;
- 'Stephen says they only need to add four layers' means 72=4*3*6 cubics, then one layer in this case consists of 3x6 cubics.
3.
- the volume of initial prism is 4*4*1=16 in³; it means one layer is 16 inches³;
- according to the requirement 3 layers is 16*3=48 in³; three times 16.
- according to the requirement 5 layers is 16*5=80 in³; five times 16.
- according to the requirement 7 layers is 16*7=112 in³; seven times 16.
1/3log125/8-2log2/5+log80/125
[tex] \frac{1}{3} log( \frac{125}{8} ) - 2 log( \frac{2}{5} ) + log( \frac{80}{125} ) [/tex]
Answer:
[tex]3log2[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{3} log( \frac{125}{8} ) - 2 log( \frac{2}{5} ) + log( \frac{80}{125} )[/tex]
Required
Solve
Apply logarithm rules
[tex]log( \frac{125^{\frac{1}{3}}}{8^{\frac{1}{3}}} )- log( \frac{2^2}{5^2} ) + log( \frac{80}{125} )[/tex]
[tex]log( \frac{5}{2}} )- log( \frac{4}{25} ) + log( \frac{80}{125} )[/tex]
Apply quotient rule
[tex]log( \frac{5}{2} / \frac{4}{25} ) + log( \frac{80}{125} )[/tex]
[tex]log( \frac{5}{2} * \frac{25}{4} ) + log( \frac{80}{125} )[/tex]
[tex]log( \frac{100}{8} ) + log( \frac{80}{125} )[/tex]
Apply product rule
[tex]log( \frac{100*80}{8*125} )[/tex]
[tex]log( \frac{8000}{1000} )[/tex]
[tex]log(8)[/tex]
Express 8 as 2^3
[tex]log(2^3)[/tex]
[tex]3log2[/tex]
What is the total surface area of the pyramid below?
5 ft
-
6ft
6 ft
Please I need answer!
Answer:
17 ft that's the ans
I don't know if it is correct
Which transformation could NOT be used to prove that two circles are congruent to one another?
a dilation with a scale factor of 2
a dilation with a scale factor of 1
a reflection
a rotation
Answer:
the congruent the congruent???
Step-by-step explanation:a dilation a dilation with two factors???
The transformation which could not be used to prove that two circles are congruent to one another is dilation with a scale factor of 2.
Option A is the correct answer.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
We have,
Dilation:
It changes the size of the figure so, the transformed figure is not congruent with the original figure.
Scale factor = 1 will not change the size of the figure.
Scale factor = 2 will change the size of the figure.
Reflection:
It does not change the size or the shape.
Rotation:
It does not change the size or the shape.
Thus,
The transformation of dilation with a scale factor of 2 could not be used to prove that two circles are congruent to one another.
Learn more about circle here:
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What is the volume of a cylinder, in cubic inches, with a height of 13 inches and a
base diameter of 12 inches? Round to the nearest tenths place
Answer:
Rounded to the nearest integer, the volume of the cylinder is 5,878 cubic inches.
Step-by-step explanation:
Given that the volume of a cylinder is calculated using the formula Phi x Radius ^ 2 x Height, and knowing that the cylinder in question has a height of 13 inches and a base diameter of 12 inches, to calculate said volume the following calculation must be done:
Phi x (12x12) x 13 = X
Phi x 144 x 13 = X
Phi x 1,872 = X
3.14 x 1,872 = X
5,878.08 = X
Thus, rounded to the nearest integer, the volume of the cylinder is 5,878 cubic inches.
The answer is 1470.3
SOMEONE PLS HELP ME WITH THIS I RLLY DONT UNDERSTAND IF YOU ANSWER CORRECTLY I WILL MARK YOU AS BRAINLIEST PLS AND TY
Answer:
1. B 2. D
Step-by-step explanation:
For the first answer we see that as there are more vehicles, the speed of the vehicles goes down. This can be seen from the negative slope of the scatter plot. In the second image, we cannot see any relation between the x and y coordinates.