Answer:
4b
Step-by-step explanation:
log(5) = b actually means that
[tex]10^b = 5[/tex]
The power of 10 is b.
So log(5⁴) means that
[tex](10^b)^4 = 5^4[/tex]
so the power of 10 is 4b.
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! :)
how many solutions does this problem have: 2(75 + 8) = 5(85 + 9)
0 solutions.
2(75+8) =5(85+9)
166≠470
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)
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!
Solve for X.
Anyone plz help me asap!
Answer:
x = 9
Step-by-step explanation:
According to the midsegment theorem,
HG = ½(QS)
Thus:
21 + 2x = ½(2x + 24)
Multiply both sides by 2
2(21 + 2x) = 2x + 24
42 + 4x = 2x + 24
Collect like terms
42 - 24 = 2x - 4x
-18 = -2x
Divide both sides by -2
9 = x
x = 9
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]
PLEASE HELP ME (AND DONT STEAL) THANK YOU!!!!
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
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
7 plus twice a number.
Answer:
7+4
Step-by-step explanation:
Answer:
7 + 2x
Step-by-step explanation:
Sending Paypal to whoever gets this right ( i made this question)
BE? I don't really know lol
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
the unit rate of 2/1 equivalent to the ratio 4/6: 9/12. True or false?
Answer:
I think true.
Step-by-step explanation:
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:
I need help with this math please
Answer:
im answering for points
Step-by-step explanation:
sorry people who wanna answer
[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]
Is AB congruent to CB?
Answer:
yes
Step-by-step explanation:
they are congruent
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
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
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:
Thomas has graphed the function y = 7x – 10 on a coordinate plane.
Which of the following statements is true for the function Thomas graphed?
A.It has a slope of 10
B.it has a y-intercept of 7
C.It has a negative association
D.It assigns exactly one output to each input
Answer:
D
Step-by-step explanation:
A linear function has exactly one output to each input.
The given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.
Given that,
Thomas has graphed the function y = 7x – 10 on a coordinate plane.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
As the function is the equation of the straight line that implies it gives exactly one output to each input and has negative input or negative association to sub-function 7x.
Thus, the given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.
learn more about function here:
brainly.com/question/21145944
#SPJ6
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%
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).
Pllzzzzzzz help now it’s due today
Answer:
Step-by-step explanation:
What are fractions? Plz help
What is the slope of the line that passes through the points (-9,5) and (-17,5)? Write your answer in simplest form.
Answer:
0
Step-by-step explanation:
Without solving anything, we can tell that the line that crosses these points is a horizontal line because both of the y-coordinates are the same. This tells us that the slope of the line is 0.
To prove this, we can find the slope of the line by plugging the two points,[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]\frac{y_2-y_1}{x_2-x_1}\\\frac{5-5}{-17-(-9)}\\= \frac{0}{-17+9)}\\= \frac{0}{-8}\\= 0[/tex]
Therefore, the slope of the line that passes through the points (-9,5) and (-17,5) is 0.
I hope this helps!
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
HELPPP ASAP!!!!!!! PLZZZ
Answer:
8/12
Step-by-step explanation:
What is 77/20 simplified
Someone please help me