Answer:
the answer is 35.0° pls thank :)
20. Find the mean, median, and mode for the following
data set:
83 98 22 89 99 98
Answer:
GOT U
Step-by-step explanation:
Mean = 81.5
Median =93.5
Mode = 98
During the fall you charge $10 to go to a house and rake the leaves and an additional eight dollars for every hour that you rake the yard if you earned $42 how many hours did you spend raking the leaves
Answer:
4
Step-by-step explanation:
set up an equation:
let h be the number of hours you spent raking.
then, the cost would be 10 + 8 times the number of hours.
In equation form:
[tex]10 + 8h = 42[/tex]
solve:
[tex]10 + 8h = 42\\8h = 32\\h = 4[/tex]
So you worked for 4 hours
Find the third degree polynomial function that has an output of 40 when x=1, and has zeros −19 and −i?
Answer:
[tex]f(x) = (x + 19)(x^2 + 1)[/tex]
Step-by-step explanation:
Complex numbers:
The following relation is important for complex numbers:
[tex]i^2 = -1[/tex]
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Has zeros −19 and −i
If -i is a zero, its conjugate i is also a zero. So
[tex]f(x) = a(x - (-19))(x - (-i))(x - i) = a(x+19)(x+i)(x-i) = a(x+19)(x^2 - i^2) = a(x + 19)(x^2 + 1)[/tex]
Output of 40 when x=1
This means that when [tex]x = 1, f(x) = 40[/tex]. We use this to find the leading coefficient a. So
[tex]f(x) = a(x + 19)(x^2 + 1)[/tex]
[tex]40 = a(20)(2)[/tex]
[tex]40a = 40[/tex]
[tex]a = 1[/tex]
The polynomial is:
[tex]f(x) = (x + 19)(x^2 + 1)[/tex]
Please answer this correctly without making mistakes
Answer:
w-(v+4)
Step-by-step explanation:
please give brainliest
ce este un numar rational?
Answer:
ratio
Step-by-step explanation:
slove this plzzz plzzz
Answer:
an equilateral triangle have equal angles and equal sides.
so, side x and side bc are 12.
Answer:
It's going to be 12, so is the other size.
Step-by-step explanation:
You can see that in each corner, it shows the triangle is the same, which means it is equilateral, so the answer is 12 :D
62% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 48 owned dogs are randomly selected, find the probability that
a. Exactly 30 of them are spayed or neutered.
b. At most 33 of them are spayed or neutered.
c. At least 31 of them are spayed or neutered.
d. Between 24 and 30 (including 24 and 30) of them are spayed or neutered.
Answer:
a) 0.1180 = 11.80% probability that exactly 30 of them are spayed or neutered.
b) 0.8665 = 86.65% probability that at most 33 of them are spayed or neutered.
c) 0.4129 = 41.29% probability that at least 31 of them are spayed or neutered.
d) 0.5557 = 55.57% probability that between 24 and 30 of them are spayed or neutered.
Step-by-step explanation:
To solve this question, we use the binomial probability distribution, and also it's approximation to the normal distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
62% of owned dogs in the United States are spayed or neutered.
This means that [tex]p = 0.62[/tex]
48 owned dogs are randomly selected
This means that [tex]n = 48[/tex]
Mean and standard deviation, for the approximation:
[tex]\mu = E(x) = np = 48*0.62 = 29.76[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{48*0.62*0.38} = 3.36[/tex]
a. Exactly 30 of them are spayed or neutered.
This is P(X = 30), which is not necessary the use of the approximation.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 30) = C_{48,30}.(0.62)^{30}.(0.38)^{18} = 0.1180[/tex]
0.1180 = 11.80% probability that exactly 30 of them are spayed or neutered.
b. At most 33 of them are spayed or neutered.
Now we use the approximation. This is, using continuity correction, [tex]P(X \leq 33 + 0.5) = P(X \leq 33.5)[/tex], which is the pvalue of Z when X = 33.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33.5 - 29.76}{3.36}[/tex]
[tex]Z = 1.11[/tex]
[tex]Z = 1.11[/tex] has a pvalue of 0.8665
0.8665 = 86.65% probability that at most 33 of them are spayed or neutered.
c. At least 31 of them are spayed or neutered.
Using continuity correction, this is [tex]P(X \geq 31 - 0.5) = P(X \geq 30.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 30.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 29.76}{3.36}[/tex]
[tex]Z = 0.22[/tex]
[tex]Z = 0.22[/tex] has a pvalue of 0.5871
1 - 0.5871 = 0.4129
0.4129 = 41.29% probability that at least 31 of them are spayed or neutered.
d. Between 24 and 30 (including 24 and 30) of them are spayed or neutered.
This is, using continuity correction, [tex]P(24 - 0.5 \leq X \leq 30 + 0.5) = P(23.5 \leq X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5 subtracted by the pvalue of Z when X = 23.5.
X = 30.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 29.76}{3.36}[/tex]
[tex]Z = 0.22[/tex]
[tex]Z = 0.22[/tex] has a pvalue of 0.5871
X = 23.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{23.5 - 29.76}{3.36}[/tex]
[tex]Z = -1.86[/tex]
[tex]Z = -1.86[/tex] has a pvalue of 0.0314
0.5871 - 0.0314 = 0.5557
0.5557 = 55.57% probability that between 24 and 30 of them are spayed or neutered.
Complete the statement. Round to the nearest hundredth if necessary. 48 ft =_____yd
Answer: 16
Step-by-step explanation:
there are 3 feet in one yard so divided 48 by 3 and you get 16
Answer:
16
Step-by-step explanation:
Can a triangle have the following side lengths? Explain.
5 feet, 2 feet, 10 feet
Answer:
No, this can not be a triangle because if you use the Pythagorean theorem 5 squared plus 2 squared doesn't equal 10 squared.
Step-by-step explanation:
You take 5 squared and 2 squared and add them, you then find the square root and that should equal 10, if not its not a triangle.
(8x+1/2x) raise to a power of 8
Will give BRAINLIEST if gives correct answer
Find the diameter
Answer:
The list already says the diameter. Here's the answers for the other stuff though:
A≈201.06
A≈4417.86
20. Give an example of a function from N to N that is a) one-to-one but not onto. b) onto but not one-to-one. c) both onto and one-to-one (but different from the identity function). d) neither one-to-one nor onto.
Answer:
Step-by-step explanation:
a) To provide an example of a function N → N that is one-to-one but not onto.
Suppose [tex]f:N\to N[/tex] to be [tex]f(n)=n^2[/tex]
Then; [tex]\text{a function } \ f: A \to B\ \text{is one-to-one if and only if } f(a) = f(b) \implies a = b \ for \ a, b \ \epsilon \ A.[/tex]
[tex]\text{a function } \ f: A \to B\ \text{is onto if and only if for every element } b \ \epsilon \ B \\ \text{there exist an element a} \ \epsilon\ A \ such \ that f(a) = b}[/tex]
Now, assuming [tex]a \ \Big {\varepsilon} \ N \& \ b \ \epsilon \ N;[/tex]
Then [tex]f(a) = f(b)[/tex]
[tex]a^2 = b^2 \\ \\ a = b[/tex]
The above function is said to be one-to-one
[tex]\text{it is equally understandable that not every natural number is the square of a natural number}[/tex]e.g
2 is not a perfect square, hence, it is not regarded as the image of any natural no.
As such, f is not onto.
We can thereby conclude that the function [tex]f(n) = n^2[/tex] is one-to-one but not onto
b)
[tex]Suppose f: N \to N[/tex] be
[tex]f(n) = [n/2] \\ \\ For \ n =1, f(1) = [1/2] = [0.5] = 1 \\ \\ For \ n=2 , f(2) = [2/2] = [1] = 1[/tex]
It implies that the function is not one-to-one since there exist different natural no. having the same image.
So, for [tex]n \epsilon N[/tex] , there exists an image of 2n in N
i.e.
[tex]f(2n) = [2n/2] = [n] = n[/tex]
Hence, the function is onto
We thereby conclude that the function [tex]f(n) = [n/2] \text{ is onto but not one-to-one}[/tex]
c)
[tex]let f: N\to N[/tex] be [tex]f(n) = \left \{ {{n+1, \ if \ n \ is \ even } \atop n-1 , \ if \ n \ is \ odd} \right.[/tex]
So, if n, m is odd:
Then:
[tex]f(n) = f(m) \\ \\ n-1 = m-1 \\ \\ n = m[/tex]
Likewise, if n, m is even:
Then;
[tex]f(n) = f(m) \\ \\ n+1 = m+ 1 \\ \\ n = m[/tex]
The function is then said to be one-to-one.
However, For [tex]n \epsilon N[/tex] and is odd, there exists an image of [tex]n - 1[/tex]that is even;
[tex]f(n - 1) = n -1 + 1 =n[/tex]
For [tex]n \epsilon N[/tex] and is even, there exists an image of [tex]n + 1[/tex]that is odd;
[tex]f(n - 1) = n +1 - 1 = n[/tex]
where(; implies such that)
Hence, this function is said to be onto.
We can therefore conclude that the function [tex]f(n) = \left \{ {{n+1, \ if \ n \ is \ even } \atop n-1 , \ if \ n \ is \ odd} \right.[/tex] is both onto and one-to-one.
d)
Here, to provide an example where the [tex]f:N \to N[/tex] is neither one-to-one nor onto.
SO;
Let [tex]f : N \to N[/tex] is defined to be [tex]f(n)=0[/tex]
Then, since every integer has the same image as zero(0), the function is not one-to-one.
Similarly, the function is not onto since every positive integer is not an image of any natural number.
We, therefore conclude that, the function [tex]f(n)=0[/tex] is neither one-to-one nor onto.
|x+3 , if x = 2. Plz help I will pick brainlist
Answer:
1(2)+3=5
Step-by-step explanation:
The number of nails in a 5 lb box is normally distributed with a mean of 325 nails and a standard deviation of 15 nails
Suppose that 1200 different 5 lb boxes are in a warehouse.
About how many boxes contain more than 340 nails?
O 170
O 192
O 340
O 384
Answer: 192.. just took the test :)
Step-by-step explanation:
The number of boxes contains more than 340 nails will be 190. Option B is correct.
What is Z score?The number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured is known as the Z score.
Z score for the 340 nails is found as;
[tex]\rm Z-score= \frac{340-325}{15} \\\\ Z-score=1[/tex]
If the probability of the z score is grater than 1 is;
P(Z≥1)=1-P(Z≤1)
P(Z≥1)=1-0.8413
P(Z≥1)=0.1587
For the 1200 boxes with more than the 340 nails is 192.
Hence,option B is correct.
Learn more about z-score refer:
https://brainly.com/question/21262765
#SPJ2
I'm lost on this please help
Answer:
Y=1/4x+33/4
Step-by-step explanation:
Y=1/4x+b
9=1/4(3)+b
9=3/4+b
8.25=33/4=b
Y=1/4x+33/4
In ΔIJK, k = 7.6 cm, j = 7.5 cm and ∠J=116°. Find all possible values of ∠K, to the nearest 10th of a degree.
Answer:
No Possible Triangles
Step-by-step explanation:
Deltamath
Look at the figure. Which point is coplanar with points B, C, and H?
PLEASE HELP ASAP!!
Answer: G
Step-by-step explanation:
Its g because its on the same side of the cube
Answer: G
Step-by-step explanation:
What is the answer
How do you solve it
Answer:
-50y+(-80)
Step-by-step explanation:
Televisions are measured diagonally to determine their listed size. Roxanne bought a 40-inch television that measures 24 inches in height. How many inches wide is the television?
Answer:
The width is 32 inches
Step-by-step explanation:
C(x)=4x; R(x) = 6X-.001x²
Marginal cost?
Answer:
the answer is to commit uninstall
Step-by-step explanation:
gg wp
Help me please I give brainliest and be serious
Answer:
15, y = 1/2x + 3.75
Step-by-step explanation:
Am not 100% sure but for #15
cuz I graphed it & it looks alike
encouraging quote by me: dont say we need more people like (PERSON) strive to be like them dont wait for the change be the change
Answer:
very nice
Step-by-step explanation:
The linear function f(x) = 0 5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function 9(x) represents the average test score in your science
class, where x is the number of the test taken.
x 0x)
1 81
283
3 85
Part A: Determine the test average for your math class after completing test 2.
Part B: Determine the test average for your science class after the completing test 2.
Part C: Which class had a higher average after completing test 4? Show work to support your answer
Answer:
more information
Step-by-step explanation:
-4x - 4(6x-14) +8(6x-10) - (20x -18)
Answer:
I believe it is -6
Step-by-step explanation:
CAN SOMEONE HELP ME PLZZZ
Answer:2440
Step-by-step explanation:
Simplify the expression below. A. 83 B. 812 C. 84 D. 88
Answer:
there is no expression
Step-by-step explanation:
Find the value of xx in the equation below
X - 15.4 = 19.1
Answer:
x = 34.5
Step-by-step explanation:
x - 15.4 = 19.1
Add 15.4 to both sides.
x - 15.4 + 15.4 = 19.1 + 15.4
x = 34.5
Answer:
x equals -3
Hope this helps :)
Step-by-step explanation:
Windsor the dog ate 4 3/4 snack bones each day for a week . How many bones did Windsor eat that week ?
Answer:
4*3/4* 7=21 bones per week
Answer:
= 4 ¾ × 7
= 33.25 snack bones
When bivariate data from a survey is graphed what is graph called ?
Answer:
D
Step-by-step explanation:
Scatter plot (Use excel with any bivariate data you can find)
What is the answer to this