Answer:
a. 0.06166
b. 0.9447
Step-by-step explanation:
15 percent is the probability it will rain on any given day. P = 0.15
lets define x as the number of days it will rain in one week.
this solution will follow a binomial distribution.
p(X=x) = nCxP^x(1-p)^x
n = 7
x = 3
1-p = 0.85
p =0.15
inserting these values into the formula
p(X=3)=7C3(0.15)^3(0.85)^4
= 7!/4!3! × 0.003375 × 0.5220
= 35 × 0.003375 × 0.5220
= 0.06166
sd = √np(1-p)
= √7 × 0.15(0.85)
= 0.9447
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $ 63,042 . The variable costs will be $ 11.25 per book. The publisher will sell the finished product to bookstores at a price of $ 25.50 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answer:
4424 books
Step-by-step explanation:
After the revenue from each book pays for its own cost, it can contribute to the payment of the fixed costs. That "contribution margin" is ...
$25.50 -11.25 = $14.25
If each book sold contributes that much to the recovery of fixed costs, then the total number of books that must be sold to break even is ...
$63,042/($14.25/book) = 4424 books
4424 books must be produced and sold so production costs equal sales.
PLEASE ANSWER ASAP!!
Expression in picture
Multiply the rational expressions below. Write your answer in the lowest terms. Remember to factor if you can!
A. 9/10
B. 10/9
C. 10/7
D. 7/10
any unrelated answers will be reported
Answer:
10/9
Step-by-step explanation:
5x-15 4x+12
--------- * ------------
3x+9 6x-18
Factor
5(x-3) 4( x+3)
----------- * ----------
3(x+3) 6( x-3)
Cancel like terms
5/3 * 4/6
20/18
Divide top and bottom by 2
10/9
how would you write six times the square of a number
Answer:
[tex]\huge \boxed{6x^2 }[/tex]
Step-by-step explanation:
6 times a number squared.
Let the number be [tex]x[/tex].
6 is multiplied to [tex]x[/tex] squared.
[tex]6 \times x^2[/tex]
HELP I NEED TO FIND THE COORDINATES OF THE POINTS
Answer:
The coordinate of any given point can be written as (x, y), where x is the x coordinate, and y is the y coordinate.
For example, point A has an x coordinate (horizontal) of 5, and a y coordinate (vertical) of 6. So the ordered pair is (5, 6).
Similarly, for the rest we have:
B: (-5,5)
C: (-2,3)
D: (-2,-2)
E: (3,-4)
F: (3,-6)
Which of the following statements about shapes of histograms is true?
a. A histogram is said to be symmetric if, when we draw a vertical line down the center of the histogram, the two sides are identical in shape and size.
b. A negatively skewed histogram is one with a long tail extending to the left.
c. A positively skewed histogram is one with a long tail extending to the right.
d. All of these choices are true
Answer:
d. all of these choices are true
Step-by-step explanation:
Histograms have 3 outstanding shapes:
1. they are syymetric:
this is to say that from the middle of the histogram if you cut it into two or half, each side is an exact close representation of the other side.
2. they are positively skewed to the right:
That is it has a long tail that goes off towards the right.
3. they are negativly skewed to the left:
They have a long tail that goes off to the left.
therefore from the question option d is the best answer since a, b, c describes the shape of a histogram.
hich statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same range. p(x) and q(x) have the same domain but different ranges. p(x) and q(x) have different domains but the same range. p(x) and q(x) have different domains and different ranges.
Answer:
[tex]p(x)[/tex] and [tex]q(x)[/tex] have the same domain and the same range.
Step-by-step explanation:
[tex]p(x) = 6-x[/tex] and
[tex]q(x) = 6x[/tex]
First of all, let us have a look at the definition of domain and range.
Domain of a function [tex]y =f(x)[/tex] is the set of input value i.e. the value of [tex]x[/tex] for which the function [tex]f(x)[/tex] is defined.
Range of a function [tex]y =f(x)[/tex] is the set of output value i.e. the value of [tex]y[/tex] or [tex]f(x)[/tex] for the values of [tex]x[/tex] in the domain.
Now, let us consider the given functions one by one:
[tex]p(x) = 6-x[/tex]
Let us sketch the graph of given function.
Please find attached graph.
There are no values of [tex]x[/tex] for which p(x) is not defined so domain is All real numbers.
So, domain is [tex](-\infty, \infty)[/tex] or [tex]x\in R[/tex]
Its range is also All Real Numbers
So, Range is [tex](-\infty, \infty)[/tex] or [tex]x\in R[/tex]
[tex]q(x) = 6x[/tex]
Let us sketch the graph of given function.
Please find attached graph.
There are no values of [tex]x[/tex] for which [tex]q(x)[/tex] is not defined so domain is All real numbers.
So, domain is [tex](-\infty, \infty)[/tex] or [tex]x\in R[/tex]
Its range is also All Real Numbers
So, Range is [tex](-\infty, \infty)[/tex] or [tex]x\in R[/tex]
Hence, the correct answer is:
[tex]p(x)[/tex] and [tex]q(x)[/tex] have the same domain and the same range.
Please help me out with this geometry
Answer:
[tex](x-[-7])^{2} +(y-[9])=[25][/tex]
Step-by-step explanation:
Center (h,k) = (-7, 9)
Radius, r = 5
Equation: [tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]
[tex](x-(-7))^{2} +(y-9)^{2} =(5)^{2}[/tex]
[tex]5^{2} =25[/tex]
So, [tex](x-(-7))^{2} +(y-9)=25[/tex]
OAmalOHopeO
The top speed of this coaster is
128 mph. What is the tallest peak
of this coaster?
** Hint... convert mph into m/s.*
To convert miles per hour to meters per second divide by 2.237
128 miles per hour / 2.237 = 57.22 meters per second.
Using the first equation:
57.22 = sqrt(2 x 9.81 x h)
Remove the sqrt by raising both sides to the second power:
57.22^2 = (2 x 9.81 x h)
Simplify Both sides:
3274.1284 = 19.62h
Divide both sides by 19.62:
H = 3274.1284/ 19.62
H = 166.88 meters
The ball bearing have volumes of 1.6cm cube and 5.4cm cube . Find the ratio of their surface area.
Answer:
64 : 729
Step-by-step explanation:
Ratio of surface area
= (ratio of linear dimensions) ^2
= 1.6^2 : 5.4^2
= 256 : 2916
= 64 : 729
prove triangle PQR to triangle TSR
Triangle PQR=TSR
PROVED
Answer:
Image provided is correct, thank you!
F(x, y, z) = (x + yz)i + (y + xz)j + (z + xy)k, Find the divergence of the vector field.
The divergence of F is
div(F ) = ∂(x + yz)/∂x + ∂(y + xz)/∂y + ∂(z + xy)/∂z
div(F ) = 1 + 1 + 1
div(F ) = 3
The divergence of the vector field is equal to 3
Data;
(x+yz)i(y + xz)j(z+xy)kDivergence of Vector FieldTo find the divergence of the vector field, we have to differentiate the i, j and k component of the vector.
[tex]div F = \frac{\delta}{\delta x} (x+yz) + \frac{\delta}{\delta y} (y + xz) + \frac{\delta}{\delta z} (z + xy)\\div F = (1+0)+(1+0)+(1+0)\\div F = 1 + 1 + 1 \\div F = 3[/tex]
The divergence of the vector field is equal to 3
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X(x+7)=0, what’s the answer, please help
Answer:
x=0 and x=-7
Step-by-step explanation:
Since the answer is 0, one of the 2 parts in the equation has to be 0:
x(x+7)=0 either the "x" has to be 0 or the "x+7"
With this you can create 2 equations:
x=0 and x+7=0
These simplify to x=0 and x=-7
Find three different numbers such that the
HCF of each pair of these numbers is greater
than 1 but the HCF of all three numbers is 1.
[Hint: For instance, the numbers 6, 10 and
15 satisfy the conditions.]
6, 10, 15
15,21,35
35, 55, 77
77, 91, 143
143, 187, 221
I can go on forever
There are different possibilities
May I get some help with this question?
Find out vector product of 3i+8j-5k and -2i+9j+7k.
9514 1404 393
Answer:
101i -11j +43k
Step-by-step explanation:
A suitable calculator can find the cross product for you, or you can evaluate the determinant ...
[tex]\left|\begin{array}{ccc}i&j&k\\3&8&-5\\-2&9&7\end{array}\right|=i(8\cdot7-9(-5))-j(3\cdot7-(-2)(-5))+k(3\cdot9-(-2)(8))\\\\=\boxed{101i-11j+43k}[/tex]
The College Board conducted research studies to estimate the mean SAT score in 2016 and its standard deviation. The estimated mean was 1020 points out of 1600 possible points, and the estimated standard deviation was 192 points. Assume SAT scores follow a normal distribution. Using the Empirical Rule, about 95% of the scores lie between which two values?
a. 768 to 1358
b. 636 to 1404
c. 620 to 1520
d. 828 to 1212
e. 724 to 1486
Answer:
its B. 636 to 1404
Step-by-step explanation:
Using the Empirical Rule, about 95% of the scores lie between values 636 to 1404. The correct option is c.
What is standard deviation?The standard deviation of a set of values is a measure of its variation or dispersion. The square root of the variance, which is the average of the squared differences from the mean, is used to calculate it.
According to the Empirical Rule, approximately 68% of the data for a normal distribution fall within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations.
In this case, the mean SAT score is 1020, with a standard deviation of 192. As a result, roughly 95% of the scores fall within two standard deviations of the mean, or between
(1020 - 2(192)) and (1020 + 2(192)).
Calculating, we get:
Lower bound: 1020 - 2(192) = 636
Upper bound: 1020 + 2(192) = 1404
Therefore, the answer is (b) 636 to 1404.
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A. The interquartile range is 55
B.Three fourths of the data is less than 65
C. The median of the upper half of the data is 65
D. The median if the data is 55.
Answer:
d the median if the data is 55
What is the simplified form of the following expression? 2 StartRoot 18 EndRoot + 3 StartRoot 2 EndRoot + StartRoot 162 EndRoot
Answer: 2*√18 + 3*√2 + √162 = 18*√2
Step-by-step explanation:
I guess that the equation is:
2*√18 + 3*√2 + √162
And we want to simplify it.
first 18 = 9*2
then we can write:
2*√18 = 2*√(9*2) = 2*3*√2 = 6*√2
and 162/9 = 18
then we can write:
√162 = √(9*18) = √9*√18 = 3√18
now we can use the previous step: √18 = 3*√2
and:
√162 = 3*(3*√2) = 9*√2
now we can write our equation as:
6√2 + 3√2 + 9√2 = (6 + 3 + 9)√2 = 18*√2
And now we can not simplify it further more, so here we end.
Answer:
B. 18 sqrt 2
Step-by-step explanation:
This is the correct letter and answer on edge, if thats what youre using:)
Barry’s Bagel Emporium sells a dozen bagels for $5.00. This price is no longer high enough to create a profit. The owner decides to raise the price. He does not want to alarm his customers with too large of an increase. He is considering four different plans.
Plan A: Raise the price by $0.05 each week until the price reaches $8.00.
Plan B: Raise the price by 10 percent each week until the price reaches $8.00.
Plan C: Raise the price by the same amount each week for 6 weeks, so that in the sixth week the price is $8.00.
Plan D: Raise the price by $0.25 each week until the price reaches $8.00.
The Answer is:
B.) Plan B
The right plan for Him is Plan B which is; Raise the price by 10 percent each week until the price reaches $8.00.
We have Bagel Emporium sells a dozen bagels for $5.00.
A plan should be kind of an arrange that is done as a parts of any given idea or layout.
We conclude that the right plan result in the price of the bagels reaching $8.00. fastest is Plan B that is Raise the price by 10 percent each week until the price reaches $8.00 as it doubles the rate as the percentage is increased.
The correct plan is B.
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michaela has h hair ties. michaela's sister has triple the number of hair ties that michaela has. choose the expression that shows how many hair bows michaela's sister has
Answer:
[tex]S = 3 h[/tex]
Step-by-step explanation:
Let M represent Michaela hair tier and S represents Michaela sister's
Given
M = h
S = Triple of M
Required
Determine an expression for S
From the given parameters, we have that;
S = Triple of M
Mathematically, this implies;
[tex]S = 3 * M[/tex]
Substitute h for M
[tex]S = 3 * h[/tex]
[tex]S = 3 h[/tex]
Hence, the expression for Michaela sister' is [tex]S = 3 h[/tex]
Lisa built a rectangular flower garden that is 4 meters wide and has a perimeter of 26 meters.
What is the length of Lisa's flower garden?
Answer:
9 m
Step-by-step explanation:
Given that
Width of rectangular flower garden, w = 4 m
Perimeter of rectangular flower garden, p = 26 m
To find:
Length of Lisa's flower garden = ?
Solution:
First of all, let us understand perimeter, length and width of a rectangle.
Let ABCD be a rectangle. Please refer to the attached image.
Opposite sides of a rectangle are equal to each other.
AB = CD = Length
Let the length be [tex]l[/tex] m.
BC = DA = Width = 4 m
Perimeter of a closed image is equal to the sum of all the sides of the image.
So, perimeter of ABCD:
[tex]p = AB + BC + CD + DA \\\Rightarrow \bold{ p = 2 \times (Length +Width)}[/tex]
[tex]26 = 2 \times (l +4)\\\Rightarrow 2l =26-8\\\Rightarrow \bold{l = 9 m}[/tex]
For the function f(x) = –x + 21, what is the difference quotient?
Answer:
The difference quotient is the quotient of the difference of the function values, f(x + h) - f(x), and the difference of the input values, (x + h) - x.
Given the function f(x) = -x + 21.
The different quotient will be : [tex]\frac{f(x+h)-f(x)}{(x+h)-x} =\frac{f(x+h)-f(x)}{h} = \frac{(-(x+h)+21)-(-x+21) }{h} = \frac{-x-h+21+x-21}{h} = \frac{-h}{h} = -1[/tex]
We see that given the function f(x) = -x+21 and two input values of x and x + h, the difference quotient is -1.
Answer:
D
Step-by-step explanation:
The entire graph of the function h is shown below write the domain and range of h using interval notation.
you can only see values of [tex] x[/tex] Ranging from $-3$ to $3$ and they're included, so domain is $[-3,3]$
and $y$ values ranging from $-2$ to $4$ but $-2$ is not included so range is $(-2,4]$
Assume a significance level of alpha = 0.05 and use the given information to complete parts (a) and (b) below. Original claim: The standard deviation of pulse rates of a certain group of adult males is more than 11 bpm. The hypothesis test results in aP-value of 0.2761.a. State a conclusion about the null hypothesis.(Reject H0 or fail to reject H0.) Choose the correct answer below.A. Fail to reject H0 because the P-value is less than or equal to alphaα.B. Reject H0 because the P-value is less than or equal to alphaα.C.Fail to reject H0 because the P-value is greater than alphaα.D. Reject H0 because the P-value is greater than alphaα.b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion?A. The standard deviation of pulse rates of the group of adult males is more than 11 bpm.B. There is not sufficient evidence to support the claim that the standard deviation of pulse rates of the group of adult males is more than 11 bpm.C. The standard deviation of pulse rates of the group of adult males is less than or equal to 11 bpm.D. There is sufficient evidence to support the claim that the standard deviation of pulse rates of the group of adult males is more than 11 bpm.
Answer:
a
The correct option is B
b
The correct option is D
Step-by-step explanation:
From the question we are told that
The level of significance is [tex]\alpha = 0.05[/tex]
The p-value is [tex]p = 0.2761[/tex]
Considering question b
Given that the [tex]p< \alpha[/tex] then the null hypothesis is rejected
Considering question b
Given that the original claim is The standard deviation of pulse rates of a certain group of adult males is more than 11 bpm
Then the null hypothesis is [tex]H_o : \sigma = 11[/tex]
The reason why the null hypothesis is write like this above is because a null hypothesis expression can not contain only a > or a < but only allows = [tex]\le , \ and \ \ge[/tex]
and the alternative hypothesis is [tex]H_a : \sigma > 11[/tex]
Now given that the null hypothesis is rejected, it mean that there is sufficient evidence to support original claim
n(AnB)=3 and n(AuB)=10, then find (p(A∆B))?
I assume A ∆ B denotes the symmetric difference of A and B, i.e.
A ∆ B = (B - A) U (A - B)
where - denotes the set difference or relative complement, e.g.
B - A = {b ∈ B : b ∉ A}
It can be established that
A ∆ B = (A U B) - (A ∩ B)
so that
n(A ∆ B) = n(A U B) - n(A ∩ B) = 10 - 3 = 7
Not sure what you mean by p(A ∆ B), though... Probability?
PLEASE ANSWER ASAP!!
Question is in the picture as well as the answer choices
any unrelated answers will be reported
Answer:
c
Step-by-step explanation
A person tosses a fair coin until a tail appears for the first time. If the tail appearson thenth flip, the person winsndollars. LetXdenote the player’s winnings.ComputeE(X).
Answer: The answer in a is No while the answer in b is Yes
Step-by-step explanation:
Find the explanation in the attached file.
The range of values for x?
Answer:
x = 32
but
I would say anything from 30 to 33
but truly i have no clue about the range
Step-by-step explanation:
3x-9=87 (because 180 -93 =87)
3x = 96
x = 32
Answer:
it is 32
Step-by-step explanation:
The length of a rectangle is increasing at a rate of 9 cm/s and its width is increasing at a rate of 7 cm/s. When the length is 12 cm and the width is 5 cm, how fast is the area of the rectangle increasing?
Answer:
129 [tex]cm^2/s[/tex]
Step-by-step explanation:
Increasing rate of length, [tex]\frac{dl}{dt}[/tex]= 9 cm/s
Increasing rate of width, [tex]\frac{dw}{dt}[/tex] = 7 cm/s
Length, l = 12 cm
Width, w = 5 cm
To find:
Rate of increase of area of rectangle at above given points.
Solution:
Formula for area of a rectangle is given as:
[tex]Area = Length \times Width[/tex]
OR
[tex]A = l \times w[/tex]
Differentiating w.r.to t:
[tex]\dfrac{d}{dt}A = \dfrac{d}{dt}(l \times w)\\\Rightarrow \dfrac{d}{dt}A = w \times \dfrac{d}{dt}l +l \times \dfrac{d}{dt}w[/tex]
Putting the values:
[tex]\Rightarrow \dfrac{dA}{dt} = 5 \times 9 + 12 \times 7\\\Rightarrow \dfrac{dA}{dt} = 45 + 84\\\Rightarrow \bold{\dfrac{dA}{dt} = 129\ cm^2/sec}[/tex]
Question 4 plz show ALL STEPS
Part (a)
Locate x = -1 on the x axis. Draw a vertical line through this x value until you reach the f(x) curve. Then move horizontally until you reach the y axis. You should arrive at y = 4. Check out the diagram below to see what I mean.
Since f(-1) = 4, this means we can then say
g( f(-1) ) = g( 4 ) = 4
To evaluate g(4), we'll follow the same idea as what we did with f(x). However, we'll start at x = 4 and draw a vertical line until we reach the g(x) curve this time.
Answer: 4==========================================================
Part (b)
We use the same idea as part (a)
f(-2) = 5
g( f(-2) ) = g(5) = 6
Answer: 6==========================================================
Part (c)
Same idea as the last two parts. We start on the inside and work toward the outside. Keep in mind that g(x) is now the inner function for this part and for part (d) as well.
g(1) = -2
f( g(1) ) = f(-2) = 5
Answer: 5==========================================================
Part (d)
Same idea as part (c)
g(2) = 0
f( g(2) ) = f( 0 ) = 3
Answer: 3