Answer:
Step-by-step explanation:
3mn (m+y)
= 3[tex]m^{2}[/tex]n + 3mny
The weight of a product is normally distributed with a mean of 4 ounces and a variance of .25 squared ounces. What is the probability that a randomly selected unit from a recently manufactured batch weighs more than 5 ounces
Answer: 0.0228
Step-by-step explanation:
Let x be the weight of a product.
The probability that a randomly selected unit from a recently manufactured batch weighs more than 5 ounces:
[tex]P(X>5)\\\\=P(\dfrac{X-Mean}{\sqrt{Variance}}>\dfrac{5-4}{\sqrt{0.25}})\\\\=P(Z>\dfrac{1}{0.5}) \ \ \ [z=\dfrac{X-Mean}{\sqrt{Variance}}]\\\\=P(z>2)\\\\=1-P(Z<2)\\\\=1-0.9772\ \ [\text{Using p value table}]\\\\=0.0228[/tex]
Hence, the required probability = 0.0228
If the measure of arc CB is 8/3 units, what is the measure of CAB?
Question:
If the measure of arc CB is [tex]\frac{8}{3} \pi[/tex] units, what is the measure of ∠CAB?
Answer:
120°
Step-by-step explanation:
The figure has been attached to this response.
The figure shows a circle centered at A and has a radius of 4 units.
Also, the length of the arc CB (as given in the question) is [tex]\frac{8}{3} \pi[/tex] units.
The length L of an arc is given by;
L = [tex]\frac{\beta }{360} * 2\pi * r[/tex] -----------------(i)
Where;
β = angle subtended by the arc at the center of the circle and measured in degrees
r = radius of the circle
From the question;
β = ∠CAB
r = 4 units
L = [tex]\frac{8}{3} \pi[/tex]
Substitute these values into equation (i) as follows;
[tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 2\pi * 4[/tex]
=> [tex]\frac{8}{3} \pi[/tex] = [tex]\frac{\beta }{360} * 8\pi[/tex]
Cancel 8[tex]\pi[/tex] on both sides
[tex]\frac{1}{3}[/tex] = [tex]\frac{\beta }{360}[/tex]
Cross multiply
3 x β = 360 x 1
3β = 360
Divide both sides by 3
[tex]\frac{3\beta }{3} = \frac{360}{3}[/tex]
β = 120°
Therefore, the measure of ∠CAB is 120°
please answer !!! quickly thank you!
Answer:
B) this line has zero slope.
Step-by-step explanation:
it doesn't increase or decrease. it is a constant; zero
Answer:
This line has zero slope.
Step-by-step explanation:
The slope of the line doesn't change it just stays straight.
Xavier shoots a basketball in which the height, in feet, is modeled by the equation,h(t) = -4t2 + 10 + 18, where t is time, in
seconds. What is the maximum height of the basketball?
Answer:
The maximum height of the basketball is of 24.25 feet.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Height of the basketball:
Given by the following function:
[tex]h(t) = -4t^2 + 10t + 18[/tex]
Which is a quadratic function with [tex]a = -4, b = 10, c = 18[/tex]
What is the maximum height of the basketball?
y(in this case h) of the vertex. So
[tex]\Delta = b^2-4ac = 10^2 - 4(-4)(18) = 388[/tex]
[tex]y_{v} = -\frac{388}{4(-4)} = 24.25[/tex]
The maximum height of the basketball is of 24.25 feet.
The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase? This is called a one-time fling. About 10% of all adults deliberately do a one-time fling and feel no guilt about it! In a group of ten adult friends, what is the probability of the following? (Round your answers to three decimal places.)
a. no one has done a one time fling
b. at least one person has done a one time fling
c. no more than two people have done a one time fling
Answer:
a. 0.349
b. 0.651
c. 0.93
Step-by-step explanation:
According to the Question,
Given, About 10% of all adults deliberately do a one-time fling and In a group of ten adult friends.Thus, p=0.10 , n=10 & [tex]\left[\begin{array}{ccc}n\\x\\\end{array}\right] = \frac{n!}{x!(n-x)!}[/tex]
Now, Use Binomial distribution = [tex]\left[\begin{array}{ccc}n\\x\\\end{array}\right]*(p)^{x} *{(1-p)}^{n-x}[/tex]
a. p(x=0) ⇒ [tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right]*(0.1)^{0} *{(0.9)}^{10}[/tex] = 0.349
Thus, The Probability that No one has done a one-time fling = 0.349
b. p(x≥1) = 1 - p(x=0) ⇒ 1 - 0.349 = 0.651
Thus, The Probability that at least one person has done a one-time fling = 0.651
c. p(x≤2) = p(x=0) + p(x=1) + p(x=2)
p(x≤2) = [tex]\left[\begin{array}{ccc}10\\0\\\end{array}\right]*(0.1)^{0} *{(0.9)}^{10}[/tex] + [tex]\left[\begin{array}{ccc}10\\1\\\end{array}\right]*(0.1)^{1} *{(0.9)}^{9}[/tex] + [tex]\left[\begin{array}{ccc}10\\2\\\end{array}\right]*(0.1)^{2} *{(0.9)}^{8}[/tex]
on Solving, we get
p(x≤2) = 0.349 + 0.347 + 0.194
p(x≤2) = 0.93
Thus, The Probability that No More Than two person have done a one-time fling = 0.93
2x + 3y = 7 and x + y = 3? *
Answer:
1) 7/2 - 3/2y,
2) 3-y, y
Step-by-step explanation:
See Image below for steps:)
Find the distance between a point (–7, –19) and a horizontal line at y = 3.
The data given to the right includes data from 30 candies, and 5 of them are red. The company that makes the candy claims that 32% of its candies are red. Use the sample data to construct a 90% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 32%? Construct a 90% confidence interval estimate of the population percentage of candles that are red. _%
1 by 5 multiple by 3 by 8
step by step explaination
1/5 * 3/8
1*3 5*8
3/40
Answer:
[tex]\frac{3}{40}[/tex]
Step-by-step explanation:
1/5 × 3/8
whats the value of 13C11
Answer:
78
Step-by-step explanation:
[tex]nC_k = \frac{n!}{k!(n-k)!}[/tex]
[tex]13 C_{11} = \frac{13!}{11! \times (13-11)!}[/tex]
[tex]= \frac{13!}{11! \times 2!}[/tex]
[tex]= \frac{ 1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10\times 11 \times 12 \times 13}{(1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10\times 11 )\times ( 1 \times 2)}[/tex]
[tex]=\frac{12 \times 13}{2} \\\\= 6 \times 13\\\\=78[/tex]
Find the value of X and Y
Answer:
y=60 degrees ; x=120 degrees.
Step-by-step explanation:
All triangles' angles must add up to 180 degrees. An equilateral triangle has 3 equal sides and degrees. If it gives the angle of one all the other angles are the same. For x you see the parallel line below it with the line to the left going through with the same angle as the one below. The angles are the same and if it is labeled in one then it is the same in the other.
WILL GIVE BRAINLIEST!!!!!
Create three new exponential equations to represent Alison, Cindy, and Javier. Alison loves social media and likes for her posts to be shared as much as possible while Cindy and Javier prefer for their posts to stay amongst their friends primarily.
Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.
While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.
What is an exponential equation?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
What is an example of an exponential equation?An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
Learn more about exponential equations here: brainly.com/question/2883200
#SPJ2
Cindy and Javier would be ln(x) and x^(1/2) as they will grow somewhat fast at first and then die out.
While Alison would be 1/(1+e^-x) representing an s curve showing a lot of growth and later evening out.
What is an exponential equation?
An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
What is an example of an exponential equation?
An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable. For example, 3x = 81, 5x - 3 = 625, 62y - 7 = 121, etc are some examples of exponential equations.
Hi, I need help creating a graph for this math question. Here goes -
It is the end of the semester, and the clubs at school are recording their profits. The Science Club started out with and has increased its balance by an average of per week. The Math Club has saved per week after starting out with at the beginning of the semester.
Answer: Science Club y = 10x + 20 and Math Club y = 5x + 50.
Question: Graph both lines on one set of axes. When do the clubs have the same balance?
Answer:
(6,80)
Step-by-step explanation:
To check
Substitute (6,80) for x & y value
Y = 10x + 20
80 = 10(6) + 20
80 = 60 + 20
80 = 80
Y = 5x + 50
80 = 5(6) + 50
80 = 30 + 50
80 = 80
Answer:
(6.80) is the correct answer
52 words in 2minutes and 39 words in 90 seconds?
(Show your work)
Proportion form of the given problem is (52/120)=(39/90). They both are equivalent to each other which gives the same value of 4.33 after solving the proportion.
When does two ratios form a proportion?Two ratios form a proportion if simplified form of both the ratios comes out as same ratio.
Using above method to find out whether the given ratios are forming proportion or not.
The question asks for an proportion.
So, 2 minutes = 120 seconds and set up the proportion
where it will be in the form of (words/seconds).
It is given that 52 words in 2minutes and 39 words in 90 seconds
Now, the proportion form will be;
(52/120) = (39/90).
They both are equivalent to each other which gives the same value of 4.33 after solving the proportion.
Learn more about directly inversely proportional relationship variable here:
https://brainly.com/question/13082482
#SPJ2
what is the standard form of 365.05
9514 1404 393
Answer:
it depends. 365.05 or 3.6505×10²
Step-by-step explanation:
In the US, 365.05 is already in standard form.
In the UK, "standard form" is the same as "scientific notation", so the number would be ...
3.6505×10²
Determine the value of x.
The answer to this question is B) 44.78
Answer:
Step-by-step explanation:
x = 44.78
Sand is being dumped from a conveyor belt and forms a conical pile. Assuming that the height of this cone is always exactly 3 times the size of the radius of its base, and that thesand is added at the rate of 10 m^3/min, how fast is the height increasing when the pile is15 m high?
Answer:
dh/dt = 0.4 m/min
Step-by-step explanation:
The volume of the cone is:
V(c) = (1/3)*r² *h if always h = 3r then r = h/3
The volume of the cone as a function of h will be:
V(h) = (1/3)* (h/3)²*h
V(h) = (1/27)*h³
The increasing rate of the volume is equal to the rate of sand added the:
D(V)/dt = (1/27)*3*h²*dh/dt
D(v) / dt = 10 m³/min
h = 15 m and dh/dt is the rate of increasing of the height
By substitution
10 m³/min = ( 1/9)* 225 * dh/dt (m²)
dh/dt = 90 / 225 m/min
dh/dt = 0.4 m/min
Madelyn needs to order some new supplies for the restaurant where she works. The restaurant needs at least 518 glasses. There are currently 314 glasses. If each set on sale contains 8 glasses, which inequality can be used to determine s, the minimum number of sets of glasses Madelyn should buy? Submit Answer 518 < 8(314 + 8) O 518 > 8(314+ s) O 314 +8s < 518 314 +8s > 518
Answer:
(D)
314 + 8s >= 518
Step-by-step explanation:
Answer: 314 + 8s ≥ 518
Find the area
76 sq meters
60 sq meters
30.5 sq meters
65 sq meters
Step-by-step explanation:
2*10+((4+10)x8)/2
=20+14*8/2
=76 sq meters
Pls help I’ll brainlest ASAP
Answer:
D
Step-by-step explanation:
because in standard form the first number is only up to 10 and above 10 it is decimal places e.g.6.12×10^5
hope this helps u understand :)
What is the sum of the interior angle measures of a polygon that has 11 sides?
HINT: Sum= (n-2)180
Answer:
Step-by-step explanation:
no of sides (n)=11
sum=(n-2)180
=(11-2)180
=9*180
=1620
therefore sum of the interior angles of a polygon having 11 sides id 1620°.
Answer:
n= 1620
Step-by-step explanation:
I know the answer is correct I got the exact same question during the lessons.
The average marks for 25 students in a mathematics was was 48.
what was the total marks scored by the students?
Answer:
total of the data points = 1200
Step-by-step explanation:
The 'average' of a data set is the total of the data points divided by the number of data points.
Here:
total of the data points
---------------------------------- = 48
25
Multiplying both sides of this equation by 25 yields:
total of the data points = 1200
Which of the following is not a property of zero?
Answer:
D is not correct
Step-by-step explanation:
"If you add zero to a number, the answer will be that same number" is incorrect
Answer: Option
2 (or B)
Step-by-step explanation:
You can't divide by 0.
Four expressions are written in the table.
What value of n makes all of the expressions equivalent?
0
1
10
100
H Н
Which two statements are both true?
Di Ta and KFT
EH I TĞ and KT | TG
Di I K and Di 1 ET
ET I TĞ and KF | DI
Calculate 18t -t +6q-6
Answer:
17t+6q-6
Step-by-step explanation:
18t -t +6q-6
Combine like terms
17t+6q-6
Answer:
17t+6q-6
Step-by-step explanation:
18t-t =17t
others don't change as they are not the factors of the same character
Hao has a container in the shape of a right rectangular prism with dimensions 3 feet by 5 feet by 8 feet. What is the
volume, in cubic feet, of the container?
Answer:
120 [tex]{ft}^{3}[/tex]
Step-by-step explanation:
To find the volume of a rectangular prism, multiply the lengths of all of the sides
3 x 5 x 8 = Ans --> 3 x 40 = Ans -->120 = Ans
Therefore, the volume of the rectangular prism is 120 [tex]{ft}^{3}[/tex]
Based on the information below, which statement provides a logical
conclusion?
On Monday, Suzanne got up at 6:00 a.m. and was on time for first period.
On Wednesday, Suzanne got up at 6:15 a.m. and was late to first period.
Answer:
It's A because on b it says is she gets up after 6:00 she will not be late and that's wrong cause she will be
In this diagram, a triangular prism is cut by a plane as shown. What is the shape of the cross section?
Answer: it’s a triangle
Step-by-step explanation:
Answer:
triangle
Step-by-step explanation:
The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.55 oz. Suppose we take a random sample of 56 bottles filled by this machine. So, 75% of the sample means will be less than what value
Answer:
0.9836
Step-by-step explanation:
