Answers
Answer:
domain is [-6,6] or -6 ≤ x ≤6
Step-by-step explanation:
domain is x value of given function
dark circle means that that number is included in domain
Related Questions
In the town of Maplewood a certain type of DVD player is sold at just two stores. 36% of the sales are from store A and the rest of the sales are from store B. 7% of the DVD players sold at store A are defective while 3% of the DVD players sold at store B are defective. If Kate receives one of these DVD players as a gift and finds that it is defective, what is the probability that it came from store A
Answers
Answer:
56.76% probability that it came from store A
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Defective.
Event B: Store A.
36% of the sales are from store A
This means that [tex]P(B) = 0.36[/tex]
7% of the DVD players sold at store A are defective.
This means that [tex]P(A|B) = 0.07[/tex]
Probability of a defective DVD:
36% come from store A, and of those, 7% are defective.
100 - 36 = 64% come from store B, and of those, 3% are defective. So
[tex]P(A) = 0.07*0.36 + 0.03*0.64 = 0.0444[/tex]
What is the probability that it came from store A
[tex]P(B|A) = \frac{0.36*0.07}{0.0444} = 0.5676[/tex]
56.76% probability that it came from store A
The average life expectancy in a certain country is 50.2 years. Estimate the country's life expectancy in hours by rounding the life expectancy to the nearest year.
Answers
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 222 days and standard deviation sigma equals 15 days.
What is the probability that a random sample of 26 pregnancies has a mean gestation period of 216 days or less?
The probability that the mean of a random sample of 26 pregnancies is less than 216 days is approximately
Answers
Answer:
[tex] z = \frac{216-222}{\frac{15}{\sqrt{26}}}= -2.040[/tex]
And we can find this probability on this way:
[tex]P(z<-2.040)=0.0207[/tex]
Step-by-step explanation:
Let X the random variable that represent the lenghts of the pregnencies of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(222,15)[/tex]
Where [tex]\mu=222[/tex] and [tex]\sigma=15[/tex]
We are interested on this probability
[tex]P(\bar X<216)[/tex]
The z score formula is given by:
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
And if we find the z score we got:
[tex] z = \frac{216-222}{\frac{15}{\sqrt{26}}}= -2.040[/tex]
And we can find this probability on this way:
[tex]P(z<-2.040)=0.0207[/tex]
The area of the surface of a circular pond is needed. A measure about the pond gives a circumference of about 47 feet. Find the area.
Answers
Answer:
55.95 ft²
Step-by-step explanation:
Circumference formula: C = 2πr => r = C / (2π)
Area formula: A = πr²
Substituting C / (2π) for r in the above equation, we get:
C 47 ft
A = π( ----------- )² = π ( -------------- )²
2π (2π)
or ...
π(47 ft)² 2209 ft²
A = ---------------------- = -------------------- = 55.95 ft²
4π² 4(3.14159)²
Solve the quadratic equation 3x² + 2x-4=0
Give your answers to 2 decimal places.
Answers
3x² + 2x - 4 = 0
Δ = b² - 4.a.c
Δ = 2² - 4 . 3 . -4
Δ = 4 - 4. 3 . -4
Δ = 52
x = (-b +- √Δ)/2a
x' = (-2 + √52)/2.3
x'' = (-2 - √52)/2.3
x' = 0,8685170918213297
x'' = -1,5351837584879966
2 Decimal places
x' = 0,87
x'' = -1,54
Answer: .8685
Step-by-step explanation:
Any help would be appreciated
Answers
Answer: 18.48
Step-by-step explanation:
To solve this problem, you would use the order of operations. You would solve the parenthesis first and then solve the rest.
(5.6-2.3)(5.4+0.2)
3.3(5.6)
18.48
Answer:
18.48Step-by-step explanation:
(5.6 - 2.3) (5.4 + 0.2) 3.3 × 5.6
18.48
A model of a house was built using the scale 5 in: 25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?
Answers
Answer:
7.5 feet
Step-by-step explanation:
Scale of the Model =5 in: 25 ft.
If we divide both sides by 5
[tex]\dfrac{5 in.}{5} : \dfrac{25 ft.}{5}\\\\$1 inch: 5 feet[/tex]
If a window on the model is 1.5 inch wide, from the unit ratio derived above we then have that:
1 Inch X 1.5 : 5 feet X 1.5 feet
1.5 Inch : 7.5 feet
Therefore, if a window in the model is 1.5 in. wide, the actual window is 7.5 feet wide.
choose the equation of the line that is parallel to the x axis x=4, x+y=0, x=y, y=4
Answers
Answer:
y=4
Step-by-step explanation:
if we draw a function we see that y=4 is paralel to the x axis
A line that is parallel to the x-axis will pass through the y-axis, horizontally.
The equation of line parallel to the x-axis is y = 4
A line that is parallel to the x-axis is represented with the following equation
y = n
Where n can be any real number.
In other words, the following equations are parallel to the x-axis
y = 2
y = 3
y = -2
y = 10
And so on....
Hence, the equation of line parallel to the x-axis is y = 4
Read more about parallel equations at:
https://brainly.com/question/402319
simplify the expression 4^4/4^6
Answers
Answer:
[tex]1/16[/tex]
Step-by-step explanation:
[tex]\frac{4^{4} }{4^{6} }[/tex]
[tex]4^{4-6}[/tex]
[tex]4^{-2}[/tex]
[tex]\frac{1}{4^{2} }[/tex]
[tex]\frac{1}{16}[/tex]
Consider a sample with data values of 10, 20, 12, 17, and 16. (a) Compute the mean and median. Mean = Median = (b) Consider a sample with data values 10, 20, 12, 17, 16, and 12. How would you expect the mean and median for these sample data to compare to the mean and median for part a (higher, lower, or the same)? The input in the box below will not be graded, but may be reviewed and considered by your instructor. Compute the mean and median for the sample data 10, 20, 12, 17, 16, and 12. If required, round your answers to one decimal place.
Answers
Answer:
Step-by-step explanation:
Consider a sample with data values of 10, 20, 12, 17, and 16. (a) Compute the mean and median. Mean = Median = (b) Consider a sample with data values 10, 20, 12, 17, 16, and 12.
Mean = Total of values/ Total number of observations
Total of values = 10+20+12+17+16 = 75
Total number of observations = 5
Mean = 75/5 = 15
Median:
Arrange in ascending order = 10, 12,16,17,20
Median = [n+1] / 2
N = number of observation = 5
Median = [5+1]/2 = 3rd observation
Median = 16
Which problem situation matches the equation below 59+74+62+x/4=70
Answers
Answer:
x = 85Step-by-step explanation:
The equation is not properly written. Here is the correct expression
[tex]\frac{59+74+62+x}{4} = 70[/tex]
Find the problem situation that matches according to the steps below:
Step 1: We will cross multiply
[tex]59+74+62+x = 4*70\\59+74+62+x = 280\\195+x = 280\\[/tex]
Step 2: Subtract 195 from both sides of the equation
[tex]195+x-195 = 280-195\\x = 280-195\\x = 85[/tex]
What is ansewer 1/6 of 30
Answers
Answer:
5
Step-by-step explanation:
The right answer is 5.
look at the attached picture
Hope it helps...
Good luck on your assignment
who can answer this question the fastest
Answers
Step-by-step explanation:
1. 45/5 = 9
2. 53 is not a multiple of 5
3. 164 - 20 = 144
4. 372 rounded is 400.
5. 5 edges
6. 382 + 200 = 582
7. 6500 meters
8. -6
9. 65 cm
10. 90/2 = 45
11. idk since i live in us
12. 8 * 3 = 24
13. July 30th
14. 6
15. 28
16. 2.5 * 3 = 7.50
Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.
Answers
The question is incomplete. Here is the complete question.
Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = -[tex]\frac{3}{4}[/tex]x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.
Answer: L = 1; W = 9/4; A = 2.25;
Step-by-step explanation: The rectangle is under a straight line. Area of a rectangle is given by A = L*W. To determine the maximum area:
A = x.y
A = x(-[tex]\frac{3}{4}.x + 3[/tex])
A = -[tex]\frac{3}{4}.x^{2} + 3x[/tex]
To maximize, we have to differentiate the equation:
[tex]\frac{dA}{dx}[/tex] = [tex]\frac{d}{dx}[/tex](-[tex]\frac{3}{4}.x^{2} + 3x[/tex])
[tex]\frac{dA}{dx}[/tex] = -3x + 3
The critical point is:
[tex]\frac{dA}{dx}[/tex] = 0
-3x + 3 = 0
x = 1
Substituing:
y = -[tex]\frac{3}{4}[/tex]x + 3
y = -[tex]\frac{3}{4}[/tex].1 + 3
y = 9/4
So, the measurements are x = L = 1 and y = W = 9/4
The maximum area is:
A = 1 . 9/4
A = 9/4
A = 2.25
Can someone help me pls, I will really appreciate it
Answers
Use the law of cosines to find the missing length, which we'll call [tex]d:[/tex]
[tex]d^2=100^2+120^2-2(100)(120)\cos 45^\circ[/tex]
[tex]d^2=24400-12000\sqrt{2}[/tex]
[tex]\boxed{d\approx 86\text{ cm}}.[/tex]
In a previous year, 54% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 700 females aged 15 and older and finds that 369369 are living alone. Is there sufficient evidence at the alphaαequals=0.10.1 level of significance to conclude the proportion has changed? Because np 0 left parenthesis 1-p 0 right parenthesis np01−p0 equals= nothing not equals≠ less than< greater than> equals= 10, the sample size is less than greater than 5% of the population size, and the sample cannot be reasonably assumed to be random, is given to be random, can be reasonably assumed to be random, is given to not be random, the requirements for testing the hypothesis are not satisfied. (Round to one decimal place as needed.) 1. Identify the null and alternative hypotheses for this test. Upper H 0: alpha α p μ greater than> not equals≠ equals= less than< nothing versus Upper H 1: α μ p equals= not equals≠ less than< greater than> nothing (Type integers or decimals. Do not round.) 2. Find the test statistic for this hypothesis test. z 0 equals= nothing (Round to two decimal places as needed.) 3. Determine the P-value for this hypothesis test. P-value equals= nothing (Round to three decimal places as needed.) 4. State the conclusion for this hypothesis test. A. Do not reject Upper H0. There is not sufficient evidence at the alpha α equals=0.10.1 level of significance to conclude that the proportion of females who are living alone has changed. B. Reject Upper H 0. There is sufficient evidence at the alpha equals=0.10.1 level of significance to conclude that the proportion of females who are living alone has changed. C. Reject Upper H 0. There is not sufficient evidence at the alpha α equals=0.10.1 level of significance to conclude that the proportion of females who are living alone has changed. D. Do not reject Upper H0. There is sufficient evidence at the alpha α equals=0.10.1 level of significance to conclude that the proportion of females who are living alone has changed.
Answers
Answer:
D.
Step-by-step explanation:
Bacteria culture doubles every 20 minutes. After two hours there are 28800 bacteria. What was the initial amount?
Answers
Answer:
450 bacteria.
Step-by-step explanation:
To find this, we can set up an exponential equation as shown:
[tex]28800 = a (2)^{\frac{120}{20} }[/tex]
**'a' being the initial value
** '2' representing the culture doubling
Simplify the equation down:
[tex]28800 = a (2)^{6}[/tex]
[tex]28800 = 64a\\a = 450.[/tex]
Therefore, the initial amount of bacteria was 450.
Find the value of x that will make a || B
Answers
Answer:
x = 30
Step-by-step explanation:
4x + 2x = 180
6x = 180
x = 30
Factories A and B produce computers. Factory A produces 3 times as many computers as factory B. The probability that an item produced by factory A is defective is 0.03 and the probability that an item produced by factory B is defective is 0.045. A computer is selected at random and it is found to be defective. What is the probability it came from factory A?
Answers
Answer:
P(A∣D) = 0.667
Step-by-step explanation:
We are given;
P(A) = 3P(B)
P(D|A) = 0.03
P(D|B) = 0.045
Now, we want to find P(A∣D) which is the posterior probability that a computer comes from factory A when given that it is defective.
Using Bayes' Rule and Law of Total Probability, we will get;
P(A∣D) = [P(A) * P(D|A)]/[(P(A) * P(D|A)) + (P(B) * P(D|B))]
Plugging in the relevant values, we have;
P(A∣D) = [3P(B) * 0.03]/[(3P(B) * 0.03) + (P(B) * 0.045)]
P(A∣D) = [P(B)/P(B)] [0.09]/[0.09 + 0.045]
P(B) will cancel out to give;
P(A∣D) = 0.09/0.135
P(A∣D) = 0.667
What’s the correct answer for this?
Answers
Answer:
x=5
Step-by-step explanation:
5x- 7 = 18
5x=18+7
5x=25
Therefore, 5 will cancel 25 five(5) times.
x= 5.
Answer:
x = 5
Step-by-step explanation:
Since AB is the bisector, so MO is equal to NO
MO = NO
5x-7 = 18
5x = 18+7
5x = 25
Dividing both sides by 5
x = 5
A study is done by a community group in two neighboring colleges to determine which one graduates students with more math classes. College A samples 11 graduates and finds the mean is 4 math classes with a standard deviation of 1.5 math classes. College B samples 9 graduates and finds the mean is 3.5 math classes with a standard deviation of 1 math class. The community group believes that a student who graduates from college A has taken more math classes, on the average. Test at a 10% significance level. Assume the requirements for a valid hypothesis test are satisfied.
Answers
Answer:
[tex]t=\frac{(4-3.5)-0}{\sqrt{\frac{1.5^2}{11}+\frac{1^2}{9}}}}=0.890[/tex]
The p value for this case would be:
[tex]p_v =P(t_{18}>0.890)=0.193[/tex]
The p value is higher than the significance level so then we can conclude that we can FAIL to reject the null hypothesis and then the true mean for group A is not significantly higher than the mean for B
Step-by-step explanation:
Information given
[tex]\bar X_{1}=4[/tex] represent the mean for sample A
[tex]\bar X_{2}=3.5[/tex] represent the mean for sample B
[tex]s_{1}=1.5[/tex] represent the sample standard deviation for A
[tex]s_{2}=1[/tex] represent the sample standard deviation for B
[tex]n_{1}=11[/tex] sample size for the group A
[tex]n_{2}=9[/tex] sample size for the group B
[tex]\alpha=0.1[/tex] Significance level provided
t would represent the statistic
Hypothesis to test
We want to verify if the student who graduates from college A has taken more math classes, on the average, the system of hypothesis would be:
Null hypothesis:[tex]\mu_{1}-\mu_{2} \leq 0[/tex]
Alternative hypothesis:[tex]\mu_{1} - \mu_{2}> 0[/tex]
The statistic is given by:
[tex]t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}[/tex] (1)
And the degrees of freedom are given by [tex]df=n_1 +n_2 -2=11+9-2=18[/tex]
Replacing we got:
[tex]t=\frac{(4-3.5)-0}{\sqrt{\frac{1.5^2}{11}+\frac{1^2}{9}}}}=0.890[/tex]
The p value for this case would be:
[tex]p_v =P(t_{18}>0.890)=0.193[/tex]
The p value is higher than the significance level so then we can conclude that we can FAIL to reject the null hypothesis and then the true mean for group A is not significantly higher than the mean for B
watching tv: in 2012, the general social survey asked a sample of 1310 people how much time they spend\t watching tv each day. The mean number of hours was 2.8 with a standard deviation of 2.6. A sociologist claims that people watch a mean of 3 hours of TV per day. Do the data provide sufficient evidence to conclude that the mean hours of TV watched per day is less the claim? Use the a=0.5 level of significance and the P-value method with the TI-84 Plus calculator.
(a) State the appropriate null and alternate hypotheses.
H0: Mu = 3
H1: Mu < 3
This hypothesis test is a _____ test.
(b) Compute the P-value. Round the answer to at least four decimal places
P-value =
Answers
Answer:
a) Null hypothesis:[tex]\mu \geq 3[/tex]
Alternative hypothesis:[tex]\mu < 3[/tex]
This hypothesis test is a left tailed test.
b) [tex]t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784[/tex]
The p value for this case can be calculated with this probability:
[tex]p_v =P(z<-2.784)=0.0027[/tex]
We can conduct the test with the Ti84 using the following steps:
STAT>TESTS>T-test>Stats
We input the value [tex]\mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310[/tex] and for the alternative we select [tex]< \mu_o[/tex]. Then press Calculate.
And we got the same results.
Step-by-step explanation:
Information given
[tex]\bar X=2.8[/tex] represent the sample mean
[tex]s=2.6[/tex] represent the population standard deviation
[tex]n=1310[/tex] sample size
[tex]\mu_o =3[/tex] represent the value to test
[tex]\alpha=0.5[/tex] represent the significance level for the hypothesis test.
t would represent the statistic
[tex]p_v[/tex] represent the p value for the test
Part a) System of hypothesis
We want to test if the true mean is less than 3, the system of hypothesis would be:
Null hypothesis:[tex]\mu \geq 3[/tex]
Alternative hypothesis:[tex]\mu < 3[/tex]
This hypothesis test is a left tailed test.
Part b
The statistic is given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784[/tex]
The p value for this case can be calculated with this probability:
[tex]p_v =P(z<-2.784)=0.0027[/tex]
We can conduct the test with the Ti84 using the following steps:
STAT>TESTS>T-test>Stats
We input the value [tex]\mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310[/tex] and for the alternative we select [tex]< \mu_o[/tex]. Then press Calculate.
And we got the same results.
Please number them but left to right from the top please.
Answers
Answer: Three have a right angle. These are the green rectangle, the pinkish square, and the orange trapezoid.
Step-by-step explanation:
What is the value of x in the equation?4 (2x + 6) –10 = 30?
Answers
Answer: 10
Step-by-step explanation: 4(2 x 10 + 6) -10
Given a+b=7 and a–b=3, find: 3a÷3b
Answers
Answer & Step-by-step explanation:
We are given two equations...
a + b = 7
a - b = 3
We are asked to find 3a ÷ 3b. In order to find the value of a and b, we have to rearrange one of the equations so it will be easier to find the values of the variables. Let's rearrange the second equation.
a - b = 3 → a = 3 + b
Now that we have an equation that shows the value of a, we can use this equation and plug it into the first equation.
a + b = 7
a = 3 + b
(3 + b) + b = 7
3 + 2b = 7
2b = 4
b = 2
We have the value of b. Now, we have to find the value of a by plugging b into the second equation.
a - b = 3
b = 2
a - 2 = 3
a = 5
Now that we have the values of both variables, we can plug them into (3a÷3b)
3a ÷ 3b
3(5) ÷ 3(2)
15 ÷ 6
5/2 or 2.5
So, 3a ÷ 3b equals 5/2 or 2.5
the value pi/24 is a solution for the equation 4 cos^4 (4x)-3
Answers
Answer:
False
Step-by-step explanation:
4 cos^4 (4x)-3 = 0
Substitute into the equation
4 cos^4 (4pi/24)-3 = 0
4 cos^4 (pi/6)-3 = 0
Take the cos pi/6
4 ( sqrt(3)/2) ^4 -3 =0
Take it to the 4th power
4 ( 9/16) -3 =0
9/4 -3 =0
9/4 - 12/4 = 0
-3/4 =0
False
Answer:
THE ANSWER IS TRUE.
Step-by-step explanation:
I did this on my homework.
Between what two integers does square root 10 lie on?
Answers
Answer:
between 3 and 4
Step-by-step explanation:
type sqrt(10) into your calculator
The requried, square root 10 lies between integers 3 and 4.
What are integers?Integers are a set of whole numbers and their negative counterparts. They include positive numbers, negative numbers, and zero.
Examples of integers include -3, -2, -1, 0, 1, 2, 3, and so on.
The integer squares nearest to 10 are 9 and 16, which are the perfect squares of 3 and 4, respectively.
Since [tex]$\sqrt{9}=3$[/tex] and [tex]$\sqrt{16}=4$[/tex], we know that [tex]$\sqrt{10}$[/tex] is between these two integers, we can say that [tex]$3 < \sqrt{10} < 4$[/tex].
Learn more about integers here:
https://brainly.com/question/15276410
#SPJ3
Micaela tried to rotate the square 180 about the origin. Is her rotation correct? If not, explain why
Answers
Answer:no the vertices of the image and pre image don’t correspond
Step-by-step explanation:
Just did it
No, the vertices of the image and pre-image do not correspond
Step-by-step explanation:
It’s correct
HELP PLEASE!! Stefano owns a restaurant where his customers create their own pasta dishes. The customer chooses exactly one type of noodle, sauce, vegetable, and meat. The following table shows the options available to customers. HELP PLEASE!! WILL GIVE EXTRA POINTS
Answers
Answer:
180 ways
Step-by-step explanation:
U just multiply the number of sauce, noodle, vegetable, and meat
So 3 times 3 times 4 times 5
Correct me if this is wrong
Answer:
180
Step-by-step explanation:
you multiply 3X3X4X5 thus it equals 180
On average, 24% of customers who buy shoes in a particular store buy two or more pairs. One weekend, 350 customers purchased shoes. How many can be predicted to buy two or more pairs? If 107 customers buy more than two pairs, did more customers than normal buy two or more pairs?
It is predicted that__________
customers bought two or more pairs out of 350 customers. There were customers than normal who bought two or ___ pairs.
