Answer:
6 to the power of 3 means your base number is 6 and the 3 is how many times you multiply 6 by itself (6×6×6). the answer is 216
A music club has 35 drum players. If 25% of the total number of members in the club are drum players, what is the total number of member in the club?
Answer:
140
Step-by-step explanation:
Since 25% is 1/4 of 100, that means that 35 is 1/4 of the total amount of members in the club. So, 35 times 4 is 140.
Answer:
140
Step-by-step explanation:
hope this helps get a 100%
What are fractions? Plz help
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB.
Graph of two intersecting lines. The line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded below the line. The other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded below the line.
The graph represents which system of inequalities?
y ≤ −3x − 1
y ≤ −x − 4
y > −3x + 1
y ≤ −x − 4
y < 3x − 1
y ≤ −x + 4
y ≤ 3x − 1
y ≥ −x + 4
Answer:
y ≤ 3x − 1
y ≤ −x + 4
Step-by-step explanation:
how would you factorise 3y + 12
Answer:
lol it so easy man 3(y+4) is the answer
WILL GIVE BRAINLIEST
The difference of two numbers is 2. Their sum is 10. Find the numbers.
Answer:
6 and 4
Step-by-step explanation:
6 + 4 = 10
6 - 4 = 2
Hope this helped you :)
6 and 4
6-4 = 2
6+4 = 10
They tell you the sum is 10, so think of #'s that make 10:
1,9
2,8
3,7
4,6
5,5
Now, which ones make 2 when subtracted
9-1 = 8
8-2 = 6
7-3 = 4
6-4 = 2
5-5 = 0
Therefore, the answers are 6 and 4
Pllzzzzzzz help now it’s due today
Answer:
Step-by-step explanation:
What is the volume of a sphere with a radius of 3-3 m, rounded to the nearest tenth of
a cubic meter?
Answer:
Volume of sphere is 150.45 m³
Step-by-step explanation:
We are given:
Radius of sphere = 3.3 m (3-3 m can't be radius, It can be either 3 m or 3.3 m. I am considering 3.3 for solving)
We need to find Volume of sphere
The formula used is: [tex]Volume=\frac{4}{3}\pi r^3[/tex]
Putting values and finding volume
[tex]Volume=\frac{4}{3}\pi r^3\\Volume=\frac{4}{3}\times 3.14 \times (3.3)^3\\Volume=\frac{4}{3}\times 3.14 \times 35.937\\Volume=150.45\:m^3[/tex]
So, Volume of sphere is 150.45 m³
a) Let X be a random variable that can assume only positive integer values, and assume its probability function is P(X -n) A/3^n for some constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3, and assume its density function is fx(x)- B(x2 +1) with some constant B (0< x ,3). Find B.
Answer:
a) The value of A = 2
b) The value of [tex]B = \dfrac{1}{12}[/tex]
Step-by-step explanation:
a)
Given that:
X should be the random variable that assumes only positive integer values.
The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.
Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]
This implies that:
[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]
[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]
[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]
[tex]A \times \dfrac{1}{2}=1[/tex]
A = 2
Thus, the value of A = 2
b)
Suppose X represents a e constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3
Then, the density function of x is:
[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]
where; B is constant.
Then, using the property of the probability density function:
[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]
Taking the integral, we have:
[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]
[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]
[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]
B [ 9 +3 ] = 1
B [ 12 ] = 1
Divide both sides by 12
[tex]B = \dfrac{1}{12}[/tex]
what is 28 divided by 4?
Answer: 7
Step-by-step explanation:
7•4=28 therefor 28\4= 7
Answer Please : )
Why negative ( - ) sign is cannot be pulled out of square root.???
To show the negative of a square root, a negative sign would have to be placed outside the radical.
Answer:
Step-by-step explanation:
Because √-1 is an imaginary number √-1=i
They are imaginary because there are no same real numbers multiplyed that gives you a negative number
√4 = √2*2 ( +2*+2 =+4)
√4 = √-2*-2 (-2*-2 =+4)
√-1 = √? *? ( what same numbers multiplied gives you negative?...an imaginary one)
Use vector operations to draw the resultant vector
Answer:
Draw an arrow from the origin to (4, 0)
Step-by-step explanation:
u-v+w
= <-3, -4> - <-4, -1> + <3, 3>
= <4, 0>
We want to perform a sum of vectors and draw the resultant vector. The resultant vector will be <4, 0> and its graph can be seen at the end.
If we see the image, we can write the vectors as:
w = <3, 3>u = <-3, -4>v = <-4, -1>Now we want to sum:
u - v + w
Remember that in the sum of the vectors we just add (subtract) the correspondent components, then we will have:
u - v + w = <-3, -4> - <-4, -1> + <3, 3> = <-3 + 4 + 3, -4 + 1 + 3> = <4, 0>
The graph of the resultant vector can be seen below.
If you want to learn more, you can read:
https://brainly.com/question/13291928
Hiking
(15,18
(10, 12)
Distance (miles)
15,6
10
15
Time
Using the data shown on the graph, which sztements are correct?
The
3
The ratio of L is consistent
The graph represents a proportional relationship
D
The grach does not represent a proportional relationship
The graph of a proportional relationship must past through. (0,0)
Answer:
I’m sorry but I don’t understand the question
Step-by-step explanation:
7) What is the equation of a circle with the center (-8, 9) and the radius of 10?
Answer:
(x+8)² + (y - 9)² = 100Step-by-step explanation:
The general equation of a circle is expressed as;
(x-a)² + (y - b)² = r² where;
(a, b) is the centre of the circle
r is the radius
Given
Centre (-8, 9) where a = -8, b = 9
radius r = 10
Substitute into the formula to get the required equation;
(x-(-8))² + (y - 9)² = 10²
(x+8))² + (y - 9)² = 10²
(x+8)² + (y - 9)² = 100
Hence the required equation is (x+8)² + (y - 9)² = 100
What is the Volume of this Cube?
Answer:
1 cubic cent
Step-by-step explanation:
Cause the volume of a cube is V^3. So, 1x1x1 = 1
Answer:
The answer is 1 cubic centimeter.
Step-by-step explanation:
[9] X is a Gaussian random variable with variance 0.25. The mean of X is estimated by taking the sample mean of independent samples of X. If the mean needs to be estimated within 0.01 from the actual mean with a confidence coefficient of 0.99, find the minimum number of samples needed in the estimation.
Answer:
The minimum number of samples required is [tex]n = 16641 [/tex]
Step-by-step explanation:
From the question we are told that
The variance is [tex]\sigma^2 = 0.25[/tex]
The margin of error is [tex]E = 0.01[/tex]
From the question we are told the confidence coefficient is 0.99 , hence the level of significance is
[tex]\alpha = (1 - 0.99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]
Generally the standard deviation is
[tex]\sigma =\sqrt{\sigma^2}[/tex]
=> [tex]\sigma =\sqrt{0.25}[/tex]
=> [tex]\sigma =0.5[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{2.58 } * 0.5 }{0.01 } ] ^2[/tex]
=> [tex]n = 16641 [/tex]
Someone please help me
The gross weekly sales at a certain super market are a Gaussian random with mean $2200 and standard deviation $230. Assume that the sales from week to week are independent.
A) Find the probability that the gross sales over the next two weeks exceed $5000.
B) Find the probability that the gross weekly sales exceed $2000 in at least 2 of the next 3 weeks.
Answer:
A) P(Z > 5000) = 0.0322
B) P( Y = 2 or 3) ≅ 0.9032
Step-by-step explanation:
From the given information;
Suppose the sales for the first week are denoted by X and the sales for the second week are denoted by Y.
Then;
X & Y are independent and they follow a normal distribution.
i.e.
[tex]XY \sim N(\mu,\sigma^2)[/tex]
[tex]XY \sim N(2200,230^2)[/tex]
If we set Z to be equal to X+Y
Then, [tex]Z \sim N(2 \times 2200,2 \times 230^2)[/tex] since two normal distribution appears normal
[tex]Z \sim N(4400,105800)[/tex]
So;
[tex]P(Z > 5000) = 1 - P( Z< \dfrac{x = \mu}{\sqrt{\sigma}})[/tex]
[tex]P(Z > 5000) = 1 - P( Z< \dfrac{5000-4400}{\sqrt{105800}})[/tex]
[tex]P(Z > 5000) = 1 - P( Z< \dfrac{600}{325.2691})[/tex]
[tex]P(Z > 5000) = 1 - P( Z< 1.844626495)[/tex]
[tex]P(Z > 5000) = 1 - P( Z< 1.85)[/tex]
From the Z - tables;
P(Z > 5000) = 1 - 0.9678
P(Z > 5000) = 0.0322
B)
Let Y be the random variable that obeys the Binomial distribution.
Y represents the numbers of weeks in the next 3 weeks where the gross weekly sales exceed $2000
Thus;
[tex]Y \sim Bin(3,p)[/tex]
where;
[tex]p = 1 - P( Z < \dfrac{2000-2200}{230})[/tex]
[tex]p = 1 - P( Z < \dfrac{-200}{230})[/tex]
p = 1 - P( Z < - 0.869565)
From the Z - tables;
p = 1 - 0.1924
p = 0.8076
Now;
P(Y ≥ 2) = P(Y = 2) + P( Y =3 )
Using the formula
[tex]P(X = r ) = ^nC_r \times p^r \times q ^{n-r}[/tex]
[tex]P( Y = 2 \ or \ 3) =^ 3C_2 \times 0.8076^2 \times ( 1- 0.8076) ^ {3-2} + ^ 3C_3 \times 0.8076^3 \times ( 1- 0.8076) ^ {3-3}[/tex]
[tex]P( Y = 2 \ or \ 3) =\dfrac{3!}{2!(3-2)!} \times 0.8076^2 \times ( 0.1924) ^ 1 + \dfrac{3!}{3!(3-3)!}\times 0.8076^3 \times ( 0.1924) ^ {0}[/tex]
[tex]P( Y = 2 \ or \ 3) =0.3764600911 +0.526731063[/tex]
P( Y = 2 or 3) = 0.9031911541
P( Y = 2 or 3) ≅ 0.9032
Is AB congruent to CB?
Answer:
yes
Step-by-step explanation:
they are congruent
What is 77/20 simplified
Design a closed rectangular box of width w, length l, and height h. The sides of the box cost 1 cent/cm2 and the top and bottom cost 2 cent/cm2 . (a) Write an equation for cost (in cents) in terms of w, l, and h. Use lower case letters.
Answer:
Equation for cost (in cents) in terms of w, l, and h is 2h(w + l) + 4l*w
Step-by-step explanation:
We are given
A rectangular box with dimensions
Width = w
Length = l
Height = h
This needs to be visualized in 3D
First type of Sides of the box is made using the width and height
second type is made using length and height
Area of the 1st two sides = 2*w*h
Area of the 2nd type of sides = 2*l*h
Area of the top and bottom = 2*l*w
Cost for sides = 1cent/cm^2
Cost of the sides calculated = cost* Area= 1*(2*w*h+2*l*h)
= 2h(w + l)
similarly
cost of top and bottom = 2*2*l*w = 4*l*w
Total Cost = 2h(w + l) + 4l*w
Joey made a deposit into
an account that earns 6%
simple interest. After 3
years, Joey had earned $400.
How much was Joey’s initial
deposit? __________________
Pick all of correct solutions
1/5+3/5+5/2
Answer:69/20
Step-by-step explanation:
Books are on sale for $7. Peter has $30 dollars in his wallet. How many books can he buy?( interpret the remainder)
Answer:
He can buy 4 books with 2 dollars remaining
Step-by-step explanation:
30/7 = 4 R2
Answer: 4 books.
Explanation: First you divide $30 by 7, and you get 4 and 2/7 (2/7 as the remainder) left over. So you can't have 4 and 2/7 books, it has to be a whole number.
Therefore, he can buy 4 books. I hope this helped!
Anna wants to purchase advertising space in the school newspaper. Each square inch of advertisement space sells for $3.00. She wants to purchase a rectangular space with length and width in the ratio 3:2 and she has up to $50.00 to spend. What are the dimensions of the largest advertisement she can afford to purchase?
(please explain how you got the answer and show me some work!!)
Answer:
The largest advertisement she can afford has dimensions of 5 in x 10/3 in
Step-by-step explanation:
Assume the dimensions of the advertisement are L and W.
The area of the advertisement is:
A = L.W
The ratio length/width is 3:2, thus the proportion is:
[tex]\displaystyle \frac{L}{W}=\frac{3}{2}[/tex]
Thus:
[tex]\displaystyle L=\frac{3}{2}W[/tex]
The area is:
[tex]\displaystyle A=\frac{3}{2}W^2[/tex]
Since the square inch of advertisement space sells for $3, the cost for Anna to purchase it is:
[tex]\displaystyle C=3\cdot\frac{3}{2}W^2[/tex]
Simplifying:
[tex]\displaystyle C=\frac{9}{2}W^2[/tex]
This cost can be a maximum of $50, thus:
[tex]\displaystyle \frac{9}{2}W^2=50[/tex]
Multiplying by 2:
[tex]9W^2=100[/tex]
Solving for W:
[tex]\displaystyle W=\sqrt{\frac{100}{9}}=\frac{10}{3}[/tex]
[tex]\displaystyle W=\frac{10}{3}[/tex]
And
[tex]\displaystyle L=\frac{3}{2}\cdot \frac{10}{3}[/tex]
L = 5
Thus the largest advertisement she can afford has dimensions of 5 in x 10/3 in
Alan got 72 questions correct on the last math exam. He got 85 questions correct this time. By what percent did the number of questions correct increase? (Round to the nearest whole percent)
A. 84%
B. 16%
C. 118%
D. 18%
Answer:
D.
Step-by-step explanation:
the difference between 85 and 72 is 13. 13 is 18% of 72.
HELPPP ASAP!!!!!!! PLZZZ
Answer:
8/12
Step-by-step explanation:
Sending Paypal to whoever gets this right ( i made this question)
BE? I don't really know lol
someone help me on this question
it's two step inequalities
i forgot how to do this
Answer:
if I'm not wrong, its x>34
Step-by-step explanation:
multiply both sides by 3
3(x - 4)/3 > 10 x 3
x - 4 > 30 (simplify)
add 4 to both sides and x > 34
This is for Geometry.
If it is blurry Zoom in.
Please helps me, Thx!
Answer:
Altitude - a segment drawn from the vertex perpendicular to the other side (also called the height).
WILL MARK BRAINLYEST
What is the equation in point-slope form of the line that passes through the points (7, 5) and (-4, – 1)?
Answer:
y - 5 = 6(x - 7)
Step-by-step explanation:
yes
Answer:
[tex]y+1=\frac{6}{11}(x+4)[/tex]
The image below shows proof that the point-slope equation [tex]y+1=\frac{6}{11}(x+4)[/tex] is the correct equation in point-slope form that the line passes through the points (7, 5) and (-4, -1)
Hope this helps! :)