Answer:
6, 9, 15, 24, 36, 51, 69, 90, 114
Answer:
6, 9, 15, 24, 36, 51, 69, 90, 114 and so on........
plsssssssssssssssss help
Answer:
60
Step-by-step explanation:
x=60 .
The triangle is equilateral and x=60 cause the two lines are ||
a. x=60°
b. Alternate interior angles
Solution,
Given,
All sides of triangle are equal.
AB=BC=AC
<ABC=<ACB=<BAC=y
By angle sum property of triangle,
<ABC+<BCA+<CAB=180
or y+y+y=180
or 3y=180
or y=180/3
y=60
Now,
<ACB=<CAD
<CAD(x)=60( Alternate interior angles)
Hope this helps ..
Good luck on your assignment..
The distance between Rosa's house and her school is 3/4 mile. She ran 1/3 of the way to
school. How many miles did she run?
Answer:
She ran 1/4 of a mile
Step-by-step explanation:
Multiply 1/3 by the distance
1/3 * 3/4
Canceling the 3's
1/4
She ran 1/4 of a mile
Find the value of 4 cubed
Answer:
4³ = 64
Step-by-step explanation:
4 * 4 * 4 = 64
Multiply the big number a certain amount of times. The amount is specified in exponential form on the top. So in this case, you multiply 4 three times.
Answer:
[tex]64[/tex]
Step-by-step explanation:
4 cube is equal to:
[tex]4^3[/tex]
[tex]4 \times 4 \times 4[/tex]
[tex]16 \times 4[/tex]
[tex]=64[/tex]
Let's check:
[tex]\sqrt[3]{64}[/tex]
[tex]=4[/tex]
A television network, Network A, is scheduling its fall lineup of shows. For the Tuesday night 8 p.m. slot, Network A has selected its top show. If its rival network, Network B, schedules its top show during the same time slot, Network A estimates that it will get 1.1 million viewers. However, if Network B schedules a different show during that time slot, Network A estimates that it will get 1.9 million viewers. Network A believes that the probability that Network B will air their top show is 0.7 and the probability that Network B will air another show is 0.3. Determine the expected number of viewers for Network A's top show.
Answer:
1,280,000 (1.28 million.)
Step-by-step explanation:
If Network B schedules its top show (with a probability of 0.7), Network A will get 1.1 million viewers.
If Network B schedules a different show during that time slot, (with a probability of 0.3), Network A will get 1.9 million viewers.
Therefore, the probability distribution table of number of viewers of Network A is:
[tex]\left|\begin{array}{c|c|c}$Number of Viewers, x&1.1$ million&$1.7 million\\P(x)&0.7&0.3\end{array}\right|[/tex]
Therefore, the expected number of viewers for Network A's top show
= (1100000 X 0.7) + (1700000 X 0.3)
=1,280,000
The expected number of viewers for Network A's top show is 1.28 million.
A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a random sample of 36 bins, the sample mean amount was 48.99 pounds and the sample standard deviation was 3.7 pounds. Conduct the appropriate hypothesis test using a 0.01 level of significance.
a) What is the test statistic? Give your answer to four decimal places.
b) What is the P-value for the test? Give your answer to four decimal places.
Answer:
Step-by-step explanation:
Claim: if the mean amount of garbage per bin is different from 50.
Null hypothesis: u=50
Alternative hypothesis : u =/ 50
Using the z score formular for a one sample z test - z = (x - u ) / (sd/√n)
Where x = 48.99, u = 50 sd =3.7 and n = 36
z = 48.99 - 50 / (3.7/√36)
z = -1.01 / (3.7/6)
z = -1.01/0.6167
z = -1.6377
To find the p value at a 0.01 level of significant from the -1.6377 z score for a two tailed test the p value using the p value calculator is 0.1016. The result is not significant at 0.01 level of significant thus we will fail to reject the null and conclude that the mean amount of garbage per bin is 50.
Once a fire is reported to a fire insurance company, the company makes an initial estimate, X, of the amount it will pay to the claimant for the fire loss. When the claim is finally settled, the company pays an amount, Y, to the claimant. The comapny has determined that X and Y have the joint density functionf(x,y) = Given that the initial claim estiamted by the comapny is 2, determine the probability that the final settlement amount is between 1 and 3.
Answer:
The probability that the final settlement amount is between 1 and 3 given that the initial claim is 2 = (2/9) = 0.2222
Step-by-step explanation:
The complete question is presented in the attached image to this solution
The joint probability distribution is given as
f(x, y) = {2/[x²(x - 1)} × y^-[(2x-1)/(x-1)] for x>1 And y>1
Given that the initial claim estiamted by the comapny is 2, determine the probability that the final settlement amount is between 1 and 3.
That is, x = 2, and y ranges from 1 to 3
Inserting x = 2 into the expression, we obtain
f(y) = (1/2) × y⁻³ = (y⁻³/2)
The required probability would then be
P(1 < y ≤ 3) = ∫³₁ f(y) dy
= ∫³₁ (y⁻³/2) dy
= [y⁻²/-4]³₁
= [3⁻²/-4] - [1⁻²/-4]
= (-1/36) - (-1/4)
= (1/4) - (1/36)
= (8/36)
= (2/9) = 0.2222
Hope this Helps!!!
find the equation of the line that is perpendicular to y= -1/5x-3 and contains the point (1,2) answer all boxes please
Answer:
Y = 5x -3
Step-by-step explanation:
Let's look for the gradient to solve this question for.
We are given y= -1/5x-3
Any line perpendicular to the above line will have a graient of m'.
Where mm'= -1
m = -1/5 from the line equation
So
mm'= -1
-1/5m'= -1
m' =5
For the equation of point (1,2)
(Y-y1)/(x-x1) = m'
(Y-2)/(x-1)= 5
Y-2= 5x -5
Y = 5x -3
g A life insurance salesman sells on the average 3 life insurance policies per week. Calculate the probability that in a given week he will sell 2 or more policies but less 4 policies.
Answer:
44.80% probability that in a given week he will sell 2 or more policies but less than 4 policies.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A life insurance salesman sells on the average 3 life insurance policies per week.
This means that [tex]\mu = 3[/tex]
Calculate the probability that in a given week he will sell 2 or more policies but less 4 policies.
[tex]P(2 \leq X < 4) = P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240[/tex]
[tex]P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240[/tex]
[tex]P(2 \leq X < 4) = P(X = 2) + P(X = 3) = 0.2240 + 0.2240 = 0.4480[/tex]
44.80% probability that in a given week he will sell 2 or more policies but less than 4 policies.
3 days after picking apples, a family had 100 apples left. After 6 days, 76 apples were left. Assuming a linear function, write an equation in the form a(t)=mt+b that shows the number of apples, a(t), left t days after picking them. Be sure to include "a(t) =" in your answer.
Answer:
a(t) = -8t + 124
Step-by-step explanation:
The number of apples left 3 days after picking them is given by the following equation:
[tex]a(t) = mt + b[/tex]
3 days after picking apples, a family had 100 apples left.
This means that [tex]a(3) = 100[/tex]
So
[tex]100 = 3m + b[/tex]
[tex]3m + b = 100[/tex]
[tex]b = 100 - 3m[/tex]
After 6 days, 76 apples were left.
So a(6) = 76. Then
[tex]76 = 6m + b[/tex]
Since b = 100 - 3m
[tex]76 = 6m + 100 - 3m[/tex]
[tex]3m = -24[/tex]
[tex]m = \frac{-24}{3}[/tex]
[tex]m = -8[/tex]
b:
[tex]b = 100 - 3m = 100 - 3*(-8) = 124[/tex]
So
a(t) = -8t + 124.
An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 140 vans, they found a mean MPG of 31.1. Assume the population standard deviation is known to be 1.3. A level of significance of 0.02 will be used. State the null and alternative hypotheses.
Answer:
[tex]z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82[/tex]
The p value for this case would be given by:
[tex]p_v =2*P(z<-1.82)=0.0688[/tex]
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG
Step-by-step explanation:
Information given
[tex]\bar X=31.1[/tex] represent the sample mean
[tex]\sigma=1.3[/tex] represent the population standard deviation
[tex]n=140[/tex] sample size
[tex]\mu_o =31.3[/tex] represent the value that we want to test
[tex]\alpha=0.02[/tex] represent the significance level for the hypothesis test.
z would represent the statistic
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:
Null hypothesis:[tex]\mu =31.3[/tex]
Alternative hypothesis:[tex]\mu \neq 31.3[/tex]
Since we know the population deviation, the statistic is given by
[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)
Replacing we got:
[tex]z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82[/tex]
The p value for this case would be given by:
[tex]p_v =2*P(z<-1.82)=0.0688[/tex]
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG
What is the quoteint of 2/3 in 2/9
Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle. If (3x+3) (5x-9)
Answer:
39 degrees and 51 degrees respectively.
Step-by-step explanation:
Two angles are complementary if their sum adds up to 90 degrees.
Given the pair of complementary angles formed by the three support beams:
3x+3 and 5x-9
Then:
3x+3+5x-9=90 degrees
Collect like terms
3x+5x=90+9-3
8x=96
Divide both sides by 8
x=12
Therefore, the measure of each angle is:
[tex](3x+3)=3(12)+3=36+3=39^\circ\\(5x-9)=5(12)-9=60-9=51^\circ[/tex]
The measure of each angle is 39 degrees and 51 degrees respectively.
Answer:
39 and 51 degrees
Step-by-step explanation:
Which expression shows that the quotient {Read Attachment for full question}
Answer:
option 2
Step-by-step explanation:
2 / (3x - 1) ÷ 6 / (6x - 1)
= 2 / (3x - 1) * (6x - 1) / 6
= 1 / (3x - 1) * (6x - 1) / 3
= 6x - 1 / 9x - 3
What are the solutions to the system of equations graphed below? Select all
that apply
A. (-6,8)
B. (0,2)
C. (2,0)
D. (-5,0)
E. (0,-10)
Answer:
c and d
Step-by-step explanation:
the x intercepts are the solutions
Answer:
(0,2) and (-5,0)
Step-by-step explanation:
the point where the two graph lines meet would be the answer.
For the entire city of Athens, the average income is $33,060, and 37.8% of the residents are below the poverty line. A local researcher does not have this information, so she tries to estimate these values by taking a random sample of 200 citizens of Athens. In her sample, the average income is $38,150, and 25% of the citizens in her sample were below the poverty line.1The entire city of Athens is the:_______.a. population.b. sample.2) The 200 citizens from the researcher's data is the:______.a. sample.b. population.3) Which symbol would denote the value of 0.378 in this example?4) Which symbol would denote the value of 0.25 in this example?
Answer:
1. Option a
2. Option a
3. Population proportion
4. Sample proportion
Step-by-step explanation:
1The entire city of Athens is the:_______
a. population.
2) The 200 citizens from the researcher's data is the:______
a. sample
3) Which symbol would denote the value of 0.378 in this example?
Population proportion- average estimate of those residents in the entire city that are below the poverty line.
4) Which symbol would denote the value of 0.25 in this example?
Sample proportion - the average estimate of the 200 random sample residents that are below the poverty line.
The income for the city of Athens.
The city of Athens is located in the largest city of Greece and is ruled by a powerful city-state. The city is home to Plato and is one of the biggest economic hubs of southern-eastern Europe. As per the question, the city has an average income of $33,060 and 37.8%.
Thus the answers are population, sample and population proportion, and the sample proportion.
The local researchers don't have any estimates of the information so she is taking a sample to determine the value of taking a random sample of 200 residents of Athens. In the sample, the average citizen is her sample and these samples were taken for those below the poverty line.Hence for the first and second option A and for third the population proportion and for the fourth, the sample proportion is correct.Learn more bout the entire city of Athens.
brainly.com/question/351086.
Suppose we want to study the weekly rate of alcohol drinking among USF undergraduate students. Which of the following would be the LEAST preferred method of randomly selecting participants?
A. Selecting a random sample of students from each residence hall
B. Selecting a random sample of students from the list of all undergraduate students from the university's registrar office
C. Selecting a random sample of students who have used the university health services in the past month
D. Selecting a random sample of students from each college
Answer:
Option D
Step-by-step explanation:
I think the least preferred method the researcher would like is to select a random sample of students from each college. This means the researcher would have to go to every college and randomly selects participants which is very exhausting. Thus, this would be the least prefer method over the others...
A sample of 1300 computer chips revealed that 58% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 61% of the chips do not fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that do not fail is different from the stated percentage. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
There is enough evidence to support the claim that that the actual percentage that do not fail is different from the stated percentage (61%).
Test statistic z = -2.19.
P-value = 0.03.
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that that the actual percentage that do not fail is different from the stated percentage (61%).
Then, the null and alternative hypothesis are:
[tex]H_0: \pi=0.61\\\\H_a:\pi\neq 0.61[/tex]
The significance level is assumed to be 0.05.
The sample has a size n=1300.
The sample proportion is p=0.58.
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.61*0.39}{1300}}\\\\\\ \sigma_p=\sqrt{0.000183}=0.014[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.58-0.61+0.5/1300}{0.014}=\dfrac{-0.03}{0.014}=-2.189[/tex]
This test is a two-tailed test, so the P-value for this test is calculated as:
[tex]\text{P-value}=2\cdot P(z<-2.189)=0.03[/tex]
As the P-value (0.03) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that that the actual percentage that do not fail is different from the stated percentage (61%).
Question 1 of 10
2 Points
The standard form of the equation of a parabola is y = 7x2 + 14x + 4.
What is the vertex form of the equation?
A. y = 7(x + 1)2-3
B. y= 7(x + 2)2-3
c. y= 7(x + 1)2 + 3
D. y= 7(x + 2)2 + 3
SUBMIT
Answer:
A. y = 7(x + 1)²-3
Step-by-step explanation:
Parabola:
[tex]y = 7x^{2} + 14x + 4[/tex]
[tex]y = 7(x^{2} + 2x) + 4[/tex]
Putting into vertex form, remember that:
[tex](x + a)^{2} = x^{2} + 2ax + a^{2}[/tex]
In this question:
[tex]x^{2} + 2x[/tex], to put into this format:
[tex]x^{2} + 2x + 1 = (x + 1)^{2}[/tex]
We add one inside the parenthesis to do this. The parenthesis is multiplied by 7, so for the equivalent, we also have to subtract 7. Then
Vertex form:
[tex]y = 7(x^{2} + 2x + 1) + 4 - 7[/tex]
[tex]y = 7(x + 1)^{2} - 3[/tex]
So the correct answer is:
A. y = 7(x + 1)²-3
The average age of all students at a certain college is 22 years and the standard deviation is 2 years. What is the probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years
Answer:
The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159
Step-by-step explanation:
According to the given data we have the following:
mean = μ= 22
standard deviation = σ = 2
n = 100
μx = 22
σx=σ/√n=2/√100=0.2
Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2
=P(z<-1)
= 0.159
The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159
What is the value of X ?
24
30
38
40
Answer:
30
Step-by-step explanation:
a squared + b squared = c squared
c squared minus a squared = b squared
Answer:
30
Step-by-step explanation:
Pythagors' Theorum
Please please help me on this one!
Answer:
3422 x232
Step-by-step explanation:
simplify x
[tex] {x}^{2} + 6x - 12[/tex]
Answer: x=8
Step-by-step explanation:
If the garden is to be 1250 square feet, and the fence along the driveway costs $6 per foot while on the other three sides it costs only $2 per foot, find the dimensions that will minimize the cost.
Answer:
Dimensions of rectangular garden:
x = 25 feet ( sides along the driveway)
y = 50 feet
Step-by-step explanation:
Rectangular area is:
A(r) = x*y (1)
if we call x one the driveway side the cost of that side will be
6*x
The cost of the other side parallel to driveway side is 2*x and cost of the others two sides are 4*y
Total costs: C = 6*x + 2*x * 4*y (2)
From equation (1)
A(r) = 1250 = x*y ⇒⇒ y = 1250/ x
Plugging that value in equation (2) we get costs as a function of x
that is:
C(x) = 6*x + 2*x + 4* 1250/x
Taking derivatives on both sides of the equation
C´(x) = 6 + 2 - 5000/x²
C´(x) = 8 - 5000 /x²
C´(x) = 0 ⇒ 8 - 5000 /x² = 0
8*x² -5000 = 0
x² = 5000/8
x² = 625
x = 25 feet
and y = 1250/ 25
y = 50 ft
C(min) = 50*2*2 + 6*25 + 2*25
C(min) = 200 + 200
C(min) = 400 $
So, the minimum cost is $400.
Area of the rectangle:The area of a rectangle is the region occupied by a rectangle within its four sides or boundaries.
And the formula is,
[tex]A=l\times b[/tex]
Given that,
Area of the garden=1250 square feet.
Let, the length be [tex]x[/tex] and the breadth be [tex]y[/tex] then,
[tex]xy=1250...(1)[/tex]
The total cost of the fence is,
[tex]C(x,y)=6x+2x+4y\\C(x,y)=8x+4y\\C(x)=8x+4(\frac{1250}{x} )\\[/tex]
Now, differentiating the obtained equation we get,
[tex]C'(x)=8-\frac{4\times 1250}{x^2} =0\\x^2=625\\x=25\\y=50[/tex]
Therefore the length is 25 ft
And breadth is 50ft
Now, calculating the minimum cost,
[tex]8(25)+4(50)=50\\=400[/tex]
Learn more about the area of the rectangle:
https://brainly.com/question/1037253
The average American generates 4.4 lbs of trash every day. We circulated fliers that listed tips on how to reduce wastefulness in three separate neighborhoods. For the next week, we measured the amount of trash each person produced each day in those neighborhoods. There were 625 people total in our study. The mean trash per person was 4.3 lbs with a standard deviation of 1
Determine your sample's score on the comparison distribution.
a) -2
b) -1
c) -1.5
d) -2.5
Answer:
[tex]z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
And replacing we got:
[tex] z=\frac{4.3 -4.4}{\frac{1}{\sqrt{625}}}= -2.5[/tex]
And the best option would be:
d) -2.5
Step-by-step explanation:
For this problem we know that the true mean of trash every day is:
[tex]\mu =4.4[/tex]
And from the info given we also know that:
[tex]\bar X=4.3[/tex] represent the sample mean
[tex]n=625[/tex] sample size selected
[tex]\sigma = 1[/tex] the population standard deviation assumed
If we want to find the z score for the person we can use the following formula:
[tex]z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
And replacing we got:
[tex] z=\frac{4.3 -4.4}{\frac{1}{\sqrt{625}}}= -2.5[/tex]
And the best option would be:
d) -2.5
Please answer this correctly
Answer:
# of plants # of gardens
10-14 2
15-19 2
20-24 5
25-29 3
30-34 3
35-39 5
40-44 4
Step-by-step explanation:
10-14: 10, 12 (2 numbers)
15-19: 18, 19 (2 numbers)
20-24: 20, 22, 23, 24, 24 (5 numbers)
25-29: 25, 27, 38 (3 numbers)
30-34: 31, 33, 33 (3 numbers)
35-39: 36, 36, 36, 37, 38 (5 numbers)
40-44: 40, 44, 44, 44 (4 numbers)
Answer:
10-14 ⇒ 2
15-19 ⇒ 2
20-24 ⇒ 5
25-29 ⇒ 3
30-34 ⇒ 3
35-39 ⇒ 5
40-44 ⇒ 4
a playground is in the shape of a square with each side
Answer:
Your correct answer is true.
Step-by-step explanation:
The first is that the shape of the playground is a square, so the sides are the same length, or 109 yards long. ... We take our answer 1092 square yards for the whole playground and subtract the 9055 square yards. This will give you the area of the circle for the skating rinks
Which is the better buy?. Store A $180 at 1/3 off Or Store B $110 at 10% off (SHOW YOUR WORK)
Answer:
not 100% sure but my answer is 110
Step-by-step explanation:
It is More Affordable and is the better Buy From All the other choices.
write 2^((5)/(2)) in surd form
Answer:
[tex]\sqrt{2^5}[/tex]
Step-by-step explanation:
The applicable rule of exponents is ...
[tex]\displaystyle a^{b/c}=\sqrt[c]{a^b}[/tex]
So, ...
[tex]2^{5/2}=\boxed{\sqrt{2^5}}[/tex]
_____
This can be simplified to ...
[tex]\sqrt{32}=4\sqrt{2}[/tex]
(a) Explain what is wrong with the following ‘proof’:Statement:IfRis symmetric and transitive, thenRis reflexive."Proof":SupposeRis symmetric and transitive. Symmetric means thatx R yimpliesy R x. We apply transitivity tox R yandy R xto givex R x. Therefore,Ris reflexive.(b) Give an example of a relation on a set that is both symmetric and tran-sitive, but not reflexive
Answer:
Step-by-step explanation:
Recall that, in this case, the subset of X for which R is defined is called the domain of R. The mistake occurs when we assume that the domain R is the whole set X, but it could happen that R is not defined for some elements of X.
Recall the following example:
X = {2,4,6}.
We can define R as follows {(2,2), (4,4), (2,4), (4,2)}. We can easily check that this is a transitive and symmetric relation, but since we don't have the element (6,6) it fails to be reflexive.
Can advise on the solution?
Answer:
340
Step-by-step explanation:
If x is the amount of pages in the book we can write:
1/4x + 5 + 3/5(x - (1/4x + 5)) + 10 + 12 + 24 = x
1/4x + 51 + 3/5(3/4x - 5) = x
1/4x + 51 + 9/20x - 3 = x
7/10x + 48 = x
3/10x = 48
x = 160