Explanation:
The range is the set of y outputs of a relation. So we just list the y coordinates of the points shown.
We could sort the values to get {-1, 4, 11, 13}, but order doesn't matter in a set. So this step is optional.
Given the function
Calculate the following values:
Answer:
f(-1) = 1
f(0) = 20
f(2) = 38
Step-by-step explanation:
f(-1) = 9×-1 + 10 = -9 + 10 = 1
f(0) = 9×0 + 20 = 0 + 20 = 20
f(2) = 9×2 + 20 = 18 + 20 = 38
we needed to use the second definition for f(0), because that is the same as saying x=0.
and that is in the domain of the second function definition ( x>=0).
Find the volume of this sphere.
Use 3 for TT.
V [?]in3
V = Tr3
8 in
Answer:
The volume of the sphere is 2048 in³.
Step-by-step explanation:
The volume of a sphere is given by:
[tex] V = \frac{4}{3}\pi r^{3} [/tex]
Where:
r: is the radius = 8 in
Having the radius and by using 3 for π, the volume is:
[tex] V = \frac{4}{3}*3 (8 in)^{3} = 2048 in^{3} [/tex]
Therefore, the volume of the sphere is 2048 in³.
I hope it helps you!
help i’ll give brainliest please hurry
Plz help I’ll mark you
Answer:
A 1/2
Step-by-step explanation:
Ratio of short length to hypotenuse
= cos60
= 1/2
A coin is tossed times and comes up heads times. Use the Empirical Method to approximate the probability that the coin comes up heads. Round your answer to four decimal places as necessary.
Answer:
[tex]P(head) = 0.5600[/tex]
Step-by-step explanation:
Given
[tex]n = 500[/tex] -- number of toss
[tex]head = 280[/tex] --- outcomes of head
See comment
Required
Empirical probability of head
This is calculated as:
[tex]P(head) = \frac{n(head)}{n}[/tex]
[tex]P(head) = \frac{280}{500}[/tex]
[tex]P(head) = 0.5600[/tex]
Measurement error that is normally distributed with a mean of 0 and a standard deviation of 0.5 gram is added to the true weight of a sample. Then the measurement is rounded to the nearest gram. Suppose that the true weight of a sample is 166.0 grams.
(a) What is the probability that the rounded result is 167 grams?
(b) What is the probability that the rounded result is 167 grams or more?
Answer:
(a)[tex]0.15731[/tex]
(b)0.02275
Step-by-step explanation:
We are given that
Mean=0
Standard deviation=0.5 g
True weight of a sample=166 g
Let X denote the normal random variable with mean =166+0=166
(a)
P(166.5<X<167.5)
=[tex]P(\frac{166.5-166}{0.5}<\frac{X-\mu}{\sigma}<\frac{167.5-166}{0.5})[/tex]
=[tex]P(1<Z<3)[/tex]
=[tex]P(Z<3)-P(Z<1)[/tex]
[tex]=0.99865-0.84134[/tex]
[tex]=0.15731[/tex]
(b)
[tex]P(X>167)=P(Z>\frac{167-166}{0.5})[/tex]
[tex]=P(Z>2)[/tex]
[tex]=1-P(Z<2)[/tex]
[tex]=1-0.97725[/tex]
[tex]=0.02275[/tex]
Find the slope of the line graphed below.
Answer:
Step-by-step explanation:
two points are (-5,-2) and (-1,3)
slope=(3-(-2))/(-1-(-5))=(3+2)/(-1+5)=5/4
Find the points of intersection of the graphs involving the following pair of functions.
f(x)=2x^2 + 3x - 3 and g(x) = -x^2
Answer:
The point of intersection is [tex]( \frac{-1\pm\sqrt{5}}{2}, 0)[/tex]
Step-by-step explanation:
f(x) = 2x^2 + 3x - 3 and g(x) = - x^2
By equating them
2x^2 + 3x - 3 = -x^2
3x^2 + 3 x - 3 = 0
x^2 + x - 1 = 0
[tex]x^2 +x - 1 = 0 \\\\x = \frac{-1\pm\sqrt{5}}{2}[/tex]
Jessica purchases a kayak in Florida, where the state sales taxes are 6%. She paid $72 in sales tax. What was the retail price of the kayak?
Answer:
72 is 6% of 1200.
Step-by-step explanation:
Multiply 72 by 100.
72*100
Then divide the number by 6
(72*100)/6
You should get 1200.
List the angles in order from the smallest to the largest.
Answer:
D. <S, <R, <T
Step-by-step explanation:
Recall: On a triangle, the bigger an angle measure the longer the side opposite it and vice versa.
In ∆RST,
The longest side, SR = 22, is opposite to <T
Therefore, <T is the biggest angle.
Medium side, ST = 21, is opposite to <R, therefore,
<R is the medium angle measure
The smallest angle measure <S is opposite to the shortest side, RT.
Angels I'm order form the smallest to largest will be:
<S, <R, <T
Question 2
A force F=5i+3j-2k is applied to move a block of cement from A(0,1,1) to B(4.-1,3).
Determine the work done by the force.
The work is simply the dot product of the force and displacement (which I assume are given in Newtons and meters, respectively):
W = F • d
W = (5i + 3j - 2k) N • ((4i - j + 3k) m - (j + k) m)
W = (5i + 3j - 2k) • (4i - 2j + 2k) Nm
W = (20 - 6 - 4) Nm
W = 10 J
A number is selected at
random from each of the sets
£2,3,4} and {1, 3, 5}. Find the
Probability that the sum of the two numbers is greater than 3 but less than 7?
Answer:
0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
A number is selected at random from each of the sets {2,3,4} and {1, 3, 5}.
The possible values for the sum are:
2 + 1 = 3
2 + 3 = 5
2 + 5 = 7
3 + 1 = 4
3 + 3 = 6
3 + 5 = 8
4 + 1 = 5
4 + 3 = 7
4 + 5 = 9
Find the probability that the sum of the two numbers is greater than 3 but less than 7?
4 of the 9 sums are greater than 3 but less than 7. So
[tex]p = \frac{4}{9} = 0.4444[/tex]
0.4444 = 44.44% probability that the sum of the two numbers is greater than 3 but less than 7.
Find the sum of the complex numbers (3+3i)+(8+7i)
Answer:
11 + 10i
Step-by-step explanation:
Just treat i like any other variable, and combine like terms. Hope that helps!
If a driver averages 50 miles per hour, the number of hours it will take to drive 360 miles is
Divide total miles by speed:
360 / 50 = 7.2 hours
If BcA, AnB=(1,4,5)and AuB= (1,2,3,4,5,6) find B?
Hello,
if B ⊂ A then A∩B=B
So B={1,4,5}
As per the given value of sets, B is (1,4,5).
What is a set?A set is a collection of one or multiple data.
Given,
B ⊂ A
[tex]A[/tex] ∩ [tex]B = (1,4,5)[/tex]
[tex]A[/tex] ∪ [tex]B = (1,2,3,4,5,6)[/tex]
As B ⊂ A, therefor, B is a subset of A.
Therefore, [tex]A[/tex] ∩ [tex]B = B[/tex] and [tex]A[/tex] ∪ [tex]B = A[/tex]
Hence, [tex]B = A[/tex] ∩ [tex]B = (1,4,5)[/tex].
Learn more about a set here:
https://brainly.com/question/20516078
#SPJ2
Please help me on this real quick
Please help it’s kinda confusing only got 20 minutes left !!
An elected government official is interested in the opinion of teachers in her voting area. She randomly selected five schools at random from the 20 schools in her area and then interviews each of the teachers in those five schools. The government official is using
Answer:
a simple random sample (SRS).
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Systematic sampling.
2. Convenience sampling.
3. Stratified sampling.
4. Cluster sampling.
5. Random sampling.
Random sampling also referred to as simple random sample (SRS) involves randomly selecting a subset of a larger population.
In this scenario, an elected government official randomly selected five schools at random from the 20 schools in her area and then interviews each of the teachers in those five schools, in order to get their opinions about voting. Thus, the government official is using a simple random sample (SRS).
3. university dean of students wishes to estimate the average number of hours students spend doing homework per week. The standard deviation from a previous study is 4 hours. How large a sample must be selected if he wants to be 96% confident of finding whether the true mean differs from the sample mean by 2 hours
Answer:
A sample of 17 must be selected.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The standard deviation from a previous study is 4 hours.
This means that [tex]\sigma = 4[/tex]
How large a sample must be selected if he wants to be 96% confident of finding whether the true mean differs from the sample mean by 2 hours?
A sample of n is required.
n is found for M = 2. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2 = 2.054\frac{4}{\sqrt{n}}[/tex]
[tex]2\sqrt{n} = 2.054*4[/tex]
Simplifying both sides by 2:
[tex]\sqrt{n} = 2.054*2[/tex]
[tex](\sqrt{n})^2 = (2.054*2)^2[/tex]
[tex]n = 16.88[/tex]
Rounding up:
A sample of 17 must be selected.
A bank gives you a loan of 1,500,000 Baht to buy a house. The interest rate of the loan is 0.01% per day (Using 1 year = 365 days)
How much interest you pay after 10 years
Answer:
15.000 is cost so relate it with 265..hope it is help u.
I forgot how to solve these and it won't let me go to the tutor
9514 1404 393
Answer:
see attached
Step-by-step explanation:
I find a graphing calculator to be the quickest way to create a graph of a system of equations. That result is attached.
__
If you want to graph the equations by hand, you need to know a couple of points on each line. When the equations are in slope-intercept form, the y-intercept is often a good place to start. Another point is usually easy to find based on the slope of the line, starting at the y-intercept.
__
Here, the equations are not in that form, but are in the form ax+by=c. In this form, it is often easy to find both the x- and y-intercepts and use those points to plot the line. Each intercept is found by setting the other variable to zero.
x-intercept: c/a
y-intercept: c/b
__
For the given lines, the first equation has intercepts (2, 0) and (0, 2). The line has a slope of -1 and makes an isosceles triangle with the axes in the first quadrant.
The second equation has intercepts (-1, 0) and (0, 2). This line has a slope of +2 and makes a triangle with the axes in the second quadrant.
Question
Find the equation of the line which has slope 7 and y-intercept 2. Give your answer in the form y = mx + b.
Provide your answer below
Im not to sure on this problem
Answer:
y=7x+2
Step-by-step explanation:
In this form of an equation (y=mx+b), m is the slope of the line and b is the y-intercept.
So, since the slope (m) is 7 and the y-intercept (b) is 2, the equation is:
y=7x+2
what is the answer to 10% of 900
Answer:
90 cause 90 times 10 is 900 and 10% times 10 is 100%
Step-by-step explanation:
Answer: 90
Step-by-step explanation: 900 × .10 = 90
Multiply and show work
Answer:
-15m^10 -38m8+57m^6+98m^4-30m^2
Answer:
jere is your answer i hope it will help u
Please help me quick I’ll give brainliest
Chris is riding her bike for 10 miles. She averages 12 mi/h. how many more minutes must she ride before she travels 60 miles?
Answer:
5 Minutes
take 10 and add 12 for each minute until you pass 60
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So a Quadratic function,A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero
What’s the answer for this
Answer:
3, 6, 11, 18, 27
Step-by-step explanation:
hope it helps
Write the following equation in slope-intercept form.
3x-2y= 5
Answer:
y= (3/2)x - (5/2)
Step-by-step explanation:
Slope-intercept form is y=mx+b. So, 3x-2y=5 can be rearranged to slope-intercept form.
We need to isolate the y and get it by itself, so let's subtract the 3x from both sides.
-> -2y = 5 - 3x
Now we need to get rid of the -2 so that the y will be completely alone. So, divide the -2 from both sides of the equation.
-> y = (5/-2) (-3x/-2)
Now rearrange, and the negatives from the 3x and 2 cancel each other out and we are left with:
-> y = 3/2 x - 5/2
There are 3 boxes on stage that appear identical, but one is Lucky. The boxes are full of tickets; some are labeled "win" and the others are labeled "lose." In the Lucky box, ninety percent of the tickets are winners. In each of the other two boxes, only twelve percent of the tickets are winners.
1. You will pick a box at random and draw one ticket from it at random.2. What is the probability you will draw a winning ticket? 3. If you do draw a winning ticket, what is the chance it came from the Lucky box?
Answer:
2.-P = 0.38
3.-P [ Lb | Wt ] = 0.788
Step-by-step explanation:
1.-Probability of choosing any box is, 1/3. So the probability of choosing the lucky box is 1/3
Let´s say the lucky box is the number 2 box ( that consideration does not in any way change the problem generality)
Then we have
p₁ probability of choosing box 1 is 1/3 p₁´ Probability of win ticket is 0.12
p₂ probability of choosing box 2 is 1/3 p₂´Probability of win ticket is 0.90
p₃ probability of choosing box 3 is 1/3 p₃´ Probability of win ticket is 0.12
Then
P (of choosing a winning ticket is) = p₁*p₁´ + p₂*p₂´ + p₃*p₃´
P = 1/3*0.12 + 1/3*0.9 + 1/3*0.12
P = 0.04 + 0.3 + 0.04
P = 0.38
3.- if I draw a winning ticket what is the probability it came from Lucky box
According to Bayes theorem
P [ Lb | Wt ] = P(Lb) * P[ Wt|Lb]/ P(Wt)
P(Lb) = 1/3 = 0.33333
P[Wt|Lb] = 0.9
P(Wt) = 0.38
Then By substitution
P [ Lb | Wt ] = 0.333 * 0.9 / 0.38
P [ Lb | Wt ] = 0.788
