Answer:
(0,0)
Step-by-step explanation:
If a point satisfies both functions, they must be equal to each other. Thus, we have:
[tex]f(x)=g(x)[/tex]
[tex]2x=3x[/tex]
The only x that satisfies this is 0.
Therefore, the y is also zero.
The point is (0,0).
Alternatively, you can also visualize the graphs. The only point where the graphs will touch is the origin point or (0,0).
the area of a square garden is 267 ft^2 what is the side length of each side? round your answer to the nearest hundredth place. if you had 65ft of fencing, will it be enough to go around and cover the garden? yes or no
Answer:
Side Length=16.34 ftNoStep-by-step explanation:
The area of the square garden=[tex]267$ ft^2[/tex]
Area of a Square of Side length s [tex]=s^2[/tex]
Therefore:
[tex]s^2=267$ ft^2\\$Take the square root of both sides\\s=\sqrt{267} \\$Side Lenght, s=16.34 ft (to the nearest hundredth place)[/tex]
Perimeter
Perimeter of a Square of Side length s=4s
Therefore, the perimeter of the garden =4*16.34=65.36 ft
Since 65 ft < 65.36 ft
Therefore, if you had 65 ft of fencing, it will not be enough to go around and cover the garden.
B
А
С
T
D
© 2016 Strong Mind. Created using GeoGebra.
In circle T, m AB = (3x + 9° and mCD = (11x – 71).
What is the measure of AB?
61°
37°
10°
39°
Answer:
D. 39°
Step-by-step explanation:
mAB = (3x + 9°)
mCD = (11x – 71)
From the diagram: |AB|=|CD|
Since arcs AB and CD are subtended by a chord of equal length.
mAB=mCD
3x + 9°=11x – 71°
Collect like terms to solve for x
11x-3x=9°+71°
8x=80°
x=10°
Therefore, the measure of AB:
mAB = (3x + 9°)
=3(10)+9
=30+9
=39°
The correct option is D.
A jar contains 2 red marbles, 3 blue marbles, and 1 green marble. What is the probability of selecting a blue marble ?
Answer:
16.666%
Step-by-step explanation:
100/6=16.66
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
D : {3,5,7,9}
Step-by-step explanation:
The domain is the input to the function or in this case the x values
D : {3,5,7,9}
_________________________________
Hey!!!
Answer:
Domain:{3,5,7,9}
Explanation:
DomainLet R be a relation from A to B.Then the set of first components or the set of elements of A are called domain.
Hope it helps
Good luck on your assignment
________________________________
A farmer has a total of 21 cows and chickens altogether The animals have 54 legs how many cows and how many chickens does the farmer have?
Solve for x in the diagram.
Answer:
x = 20
Step-by-step explanation:
x° + 2x° + (x+10)° = 90°
3x° + x° + 10° = 90°
4x° + 10° = 90°
4x° = 90°-10°
4x° = 80°
x = 80/4
x = 20
Answer:
20°
Step-by-step explanation:
The sum of all three angles combined is 90°. You can see this by the square at the corner. This means that you have to add all of the angles together and set it equal to 90° to solve for x.
x° + 2x° + (x + 10)° = 90°
3x° + (x + 10)° = 90°
4x° + 10° = 90°
4x° = 80°
x = 20°
a team won 8 of the 24 games it played in one season .what percentage of the games did it win
Answer:
The team won 33.33% of their games.
Step-by-step explanation:
Proportion and percentage of games won:
The proportion of games won is the number of games won divided by the total number of games.
The percentage of games won is the proportion multiplied by 100.
We have that:
8 wins in 24 games.
So
8/24 = 0.3333
0.3333*100 = 33.33%
The team won 33.33% of their games.
Scotland has been a member of the United Kingdom since the 1707 Act of Union. In a recent poll, 38% of Scots would vote in favor of leaving the U.K. A random sample of 135 Scots was selected. What is the probability that between 50 and 60 of them were in favor of leaving the U.K.?
Answer:
57.39% probability that between 50 and 60 of them were in favor of leaving the U.K.
Step-by-step explanation:
I am going to use the normal approximmation to the binomial to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
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 samples 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].
In this problem, we have that:
[tex]n = 135, p = 0.38[/tex]
So
[tex]\mu = E(X) = np = 135*0.38 = 51.3[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{135*0.38*0.62} = 5.6397[/tex]
What is the probability that between 50 and 60 of them were in favor of leaving the U.K.?
Using continuity correction, this is [tex]P(50-0.5 \leq X \leq 60 + 0.5) = P(49.5 \leq X \leq 60.5)[/tex]. So this is the pvalue of Z when X = 60.5 subtracted by the pvalue of Z when X = 49.5. So
X = 60.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{60.5 - 51.3}{5.6397}[/tex]
[tex]Z = 1.63[/tex]
[tex]Z = 1.63[/tex] has a pvalue of 0.9484
X = 49.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{49.5 - 51.3}{5.6397}[/tex]
[tex]Z = -0.32[/tex]
[tex]Z = -0.32[/tex] has a pvalue of 0.3745
0.9484 - 0.3745 = 0.5739
57.39% probability that between 50 and 60 of them were in favor of leaving the U.K.
what is the least amount of cardboard needed to make a box that measures 7 inches by 12 inches by 5 inches
Answer:
420 Square Units
Step-by-step explanation:
7*12*5 = 420 units
Show the reflection of the given points.Locate the points of the reflection in their proper position around the x-axis
Answer: I believe this is it
The required reflection of the given points are A' = (5, -1), B' = (1, -3), C' = (-2, -2), D' = (-5, -4)
What is Reflection of point around x-axis?If we have any point say P(x, y) then their reflection around x -axis is
P'(x, -y)
Therefore around x-axis reflection only y coordinate changes
How to find reflection around x -axis?here we have the points
A = (5, 1), B = (1, 3), C = (-2, 2), D = (-5, 4)
Therefore the reflected points are
A' = (5, -1), B' = (1, -3), C' = (-2, -2), D' = (-5, -4)
The presentation is attached in the image
This is the conclusion to the answer.
Learn ore about reflection of the points here-
https://brainly.com/question/7243416
#SPJ2
how many pieces each 2 3/4 m long may be cut from a string 16 1/2 ?
Answer:
6
Step-by-step explanation:
2 3/4 = 2.75 & 16 1/2 = 16.5
No of pieces = 16.5/2.75 = 6
Answer:
6 pieces.
Step-by-step explanation:
16 1/2 / 2 3/4
= 33/2 / 11/4
= 33/2 * 4/11
= 132 / 22
= 6
The time spent waiting at a traffic light can be considered a random variable with values from 0 seconds, it’s green when you approach and can go on through, to 30 seconds with the following distribution shape: What is the height of this distribution? Express your answer in decimal form using three decimal places. answer to three decimal places:
Answer:
H = 1/30
H = 0.0333
0.033
Step-by-step explanation:
The time spent waiting at a traffic light can be considered a random variable with values from 0 seconds,
it’s green when you approach and can go on through, to 30 seconds with the following distribution shape
The entire area under the distribution curve must be 1.
Let assume the Shape is rectangle
Given
Time taken from 0s to 30s = 30s - 0s = 30s
To find height of the distribution?
Let H = the height of the distribution
Based on the above assumption;.
H * 30 = 1 --- make H the subject of formula
H = 1/30
H = 0.0333
To three decimal places is 0.033
Hence, the calculated height of the distribution is 0.033Evaluate the function for x = -4n.
Ax)= 47° - 50
A. -64n2 + 20n
B.
64n" + 20x
C. -64n? - 20n
D. 64n2 – 202
How do you relate the points made by Professor Degraeve and the use of decision trees as a decision making tool?
In practice, do you feel that organizations focus more on outcomes or decisions?
Suggest at least one idea as to how an organization can make a cultural shift to focusing on the process associated with decision making as opposed to the outcomes.
Answer:
Organizations really focus more on early results, than on thinking carefully about the decisions they must make to achieve accurate and reliable results.
The diagram of the decision tree really helps to analyze all the possible associated variables that can contribute to a good result.
Step-by-step explanation:
We could think of an organization that has children's toys as its final product; At first this organization might think that it is best to make the most popular toys that are promoted by the advertising media, but making a decision diagram and really evaluating what is best at the moment and how this affects demand, it could be induced to look all the variables that could determine to what extent those "toys" to which the media advertise so much are so acceptable in the children's market; we could really be surprised.
40% of a number is 44. Find the number
Answer:
110
Step-by-step explanation:
40% is the same as 40/100, which is equal to 0.4. Therefore, you can write the following equation:
0.4x=44
Divide both sides by 0.4 to isolate x:
x=44/0.4=110
Hope this helps!
A company offers earthquake insurance. Annual premiums are modeled by an exponential random variable with mean 2. Annual claims are modeled by an exponential random variable with mean 1. Premiums and claims are independent. Let X denote the ratio of claims to premiums. What is the density function of A?
Answer:
The density function of X is : [tex]h_{X} (x) = \left \{ {{\frac{2}{(1+2x)^{2} } \quad x\geq0} \atop {x=0 \qquad x<0 }} \right.[/tex]
Step-by-step explanation:
[tex]h_{X} (x) = \left \{ {{\frac{2}{(1+2x)^{2} } \quad x\geq0} \atop {x=0 \qquad x<0 }} \right.[/tex]
For easiness and clarity of expression, the calculations are handwritten and attached as files. The files are broken into bits for easy understanding. Check the six files below for the calculations.
The field was 5⁄6 of an acre and 1⁄3 of the field was planted in strawberries. How many acres are planted in strawberries?
acres
Answer:
333 miliacres
Step-by-step explanation:
First of all, you should know that 1 acre is the same as 4046.9 m²
So, 1/3 of those 4046.9 m² is fully covered by strawberries.
By the way, 4046.9m² . 1/3 = 1348.96 m². This is our planted field.
Let's convert the measure to acres, though:
1348.96 m² . 1 acre / 4046.9 m² = 0.333 acres
0.333 acres . 1000 / 1 acre = 333 miliacres
If you want to know in another unit, let's do another conversion
0.333 acre . 43560 square feet / 1 acre = 14520 square feet
Trydint" bubble-gum company claims that 9 out of 10 people prefer their gum to "Eklypse". Test their claim at the 99 confidence level.
The null and alternative hypothesis in symbols would be:____________.
H0:μ≤0.9H0:μ≤0.9
H1:μ>0.9H1:μ>0.9
H0:μ≥0.9H0:μ≥0.9
H1:μ<0.9H1:μ<0.9
H0:p=0.9H0:p=0.9
H1:p≠0.9H1:p≠0.9
H0:μ=0.9H0:μ=0.9
H1:μ≠0.9H1:μ≠0.9
H0:p≥0.9H0:p≥0.9
H1:p<0.9H1:p<0.9
H0:p≤0.9H0:p≤0.9H1:p>0.9H1:p>0.9
The null hypothesis in words would be:_____________.
1. The proportion of all people that prefer Trydint gum is 0.9
2. The proportion of all people that prefer Trydint gum is greater than 0.9.
3. The proportion of people in a sample that prefer Trydint gum is not 0.9
4. The average of people that prefer Trydint gum is not 0.9.5. The proportion of all people that prefer Trydint gum is less than 0.9.6. The average of people that prefer Trydint gum is 0.9.7. The proportion of people in a sample that prefers Trydint gum is 0.9.
Answer:
The null and alternative hypothesis in symbols would be:H0:μ=0.9
H1:μ≠0.9,
The null hypothesis in words would be:_____________.
1. The proportion of all people that prefer Trydint gum is 0.9
Step-by-step explanation:
The Null hypothesis should always be precise such as the given coin is biased. The null hypothesis is assigned a numerical value.
For example the average height of all students in a college is 62 inches. Symbolically it is written as :H0:μ=62
An alternative hypothesis is any other hypothesis which we accept when the null hypothesis is rejected.If the null hpothesis of the height of students is :H0:μ=62 then alternative hypothesis is H1:μ≠ 62
Answer:
H0: p = 0.9
H1: p ≠ 0.9
1. The proportion of all people that prefer Trydint gum is 0.9
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above;
The null hypothesis is that the proportion of all people that prefer Trydint gum is 0.9.
H0: p = 0.9
The alternative hypothesis is that the proportion of all people that prefer Trydint gum is not equal to 0.9.
H1: p ≠ 0.9
si 16 cajas de lapices valen 16.640 cuanto valen 25 cajas????? PORFAVOR AYUDA:)
Answer:
416
Step-by-step explanation: pues creo que esa es tu respuesta :)
I Don’t get It Plz Help
Answer:
D
Step-by-step explanation:
Its D because there is one dot that's far away from the rest, so there is one outlier. Hopefully this was helpful, I really am not the best person at giving explanations
Answer:
D. There is one outlier.
Step-by-step explanation:
Most of the points on the scatterplot are contained in one cluster, but there is one point that is not in the same cluster as the others.
Can someone solve this?
Answer:
x = 6y = 18Step-by-step explanation:
The relevant relation is that the product of distances from the point of intersection of secants to the two points of intersection of each with the circle is a constant. The point of tangency counts as both points of intersection.
__
By way of example, the product of distances to the circle for the tangent segment is 10·10 = 100
This is also the product of the distances on the secant that intersects the tangent:
100 = 5(5+x+9)
20 = x +14 . . . . . divide by 5
x = 6 . . . . . . . . . . subtract 14
__
The same is true when the secants intersect inside the circle:
6·9 = y·3
y = 18 . . . . . . divide by 3
FIND THE CORRECT INTERCEPT OF THE LINE!
find the X and Y.
and please tell me how u got it. u know if u can
Answer:
see below
Step-by-step explanation:
The x intercept is where it crosses the x axis
It crosses at x = -7.5
(-7.5,0)
The y intercept is where it crosses the y axis
It crosses at y = 5.5
(0,5.5)
It takes four teachers two and a half hours to mark a set of test papers. How long would it take six teachers to mark the same set of papers at the same rate?
Answer:
1 hour and 40 min
Step-by-step explanation:
4 x 1 x 2.5=5/3=1 2/3=1 hr and 40 min
What’s the correct answer for this question?
Answer:
A.
Step-by-step explanation:
In the attached file
Jasmine found a wooden jewelry box shaped like a right rectangular prism. What is the volume of the jewelry box?
Answer:
The volume of the jewelry box will be given by,
[tex]\text{Volume}=\text{l}\times \text{w}\times\text{h}[/tex]
Step-by-step explanation:
It is provided that, Jasmine found a wooden jewelry box shaped like a right rectangular prism.
Consider the diagram below for the shape of a right rectangular prism.
The volume of a right rectangular prism is given by the formula:
[tex]\text{Volume}=\text{l}\times \text{w}\times\text{h}[/tex]
Here,
l = length of the rectangle
w = width of the rectangle
h = height of the rectangular prism
Thus, the volume of the jewelry box will be given by,
[tex]\text{Volume}=\text{l}\times \text{w}\times\text{h}[/tex]
Answer:
In the given problem, since it was stated that the dimension of the right rectangular prism is 8 by 6 by 14 cm. To solve the problem, you can use the formula for finding the volume. Therefore, the volume of the jewelry box is 672 cubic cm.
plss help answer these qutions plss
Answer:
Step-by-step explanation:
[tex]V=whl=15*7*6=630ft^3(truck)[/tex]
[tex]V=whl=1.25*2.5*2=6.25ft^2(boxes)[/tex]
To determine how many boxes can go in each truck you have to divide the volumes with ach other so 630/6.25 which equals 100.8
So you could say 2 trucks because each truck can carry 100.8 boxes each
[tex]V=\frac{1}{4} h\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4} \\V=\frac{1}{4} *7.1*\sqrt{-4^4+2*(4*5)^2+2*(4*4)^2-5^4+2*(5*4)^2-4^4} \\=55.42m^3\\(chalet)[/tex]
There is allowed 1 person per 15m^3 and there are 5 people. Only 3 people can stay in the chalet equalling 45m^3 leaving 10m^3 left thus, not allowing anymore people to stay in the chalet. So the family cant meet the fire safety standards with 5 people
Answer:
9) 630 ft^3; 6.25 ft^3; 2 trucks (3, if you consider space utilization)
10) 71 m^3; 4 persons; no
Step-by-step explanation:
9) The volume of the truck is the product of the dimensions:
V = LWH = (15 ft)(7 ft)(6 ft) = 630 ft^3 . . . truck V
Likewise, the volume of a storage box is the product of its dimensions:
V = LWH = (2 ft)(2.5 ft)(1.25 ft) = 6.25 ft^3 . . . box V
If the boxes pack well into the truck (they don't), then the number of boxes that would fit in the truck is the ratio of these volumes:
number of boxes = (630 ft^3)/(6.25 ft^3) = 100.8
This suggests that half of the 200 boxes will fit in one truck, so 2 trucks are needed.
__
Comment on space utilization
In the real world, not all of the truck's interior space can be utilized. This is because not all of the truck dimensions are integer multiples of the box dimensions. 96 is about the most boxes that can be placed in the truck. (Fitting more than 90 requires boxes be first layered one way, then layered another way to fill as much of the remaining space as possible.) In the real world, 3 trucks are needed to move 200 of these boxes.
___
10) The area of the end triangle of the chalet is ...
A = (1/2)bh = (1/2)(5 m)(7.1 m) = 17.75 m^2
Then the volume of the chalet is ...
V = Bh = (17.75 m^2)(4 m) = 71 m^3 . . . volume of the chalet
At 15 m^3 per person, there is enough volume for ...
(71 m^3)/(15 m^3/person) = 4.73 persons
4 persons can stay in the chalet.
No, the entire family cannot stay in the chalet.
PLEASE HELP!!! A bridge has a weight limit of 5000 kg. What is the heaviest load that a pickup truck weighing 4500 pounds could tow across the bridge? ( 1kg = 2.2 pounds)
Answer:
6500 lb
Step-by-step explanation:
The load limit of the bridge is ...
(5000 kg)(2.2 lb/kg) = 11,000 lb
The total of truck and trailer cannot exceed this value, so the trailer's weight cannot exceed ...
11,000 lb -4,500 lb = 6,500 lb . . . max trailer weight
Write the equation of the line that passes through the points (-2,-6) and (7,8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
y+6=14/9(x+2)
Step-by-step explanation:
Hope this helps
Suppose Harvey owns a small business that produces computer motherboards. He previously owned one machine, machine A, that produced these motherboards. In an effort to increase production, he recently purchased a new machine, machine B, that also produces motherboards. Although both machines produce motherboards at the same rate, Harvey suspects that machine A produces fewer defective motherboards than machine B. In order to test this hypothesis, he randomly selects 260 motherboards produced by machine A and 200 motherboards produced by machine B. He observes that 13 of the sampled items from machine A are defective and 14 sampled items from machine B are defective. Harvey plans to use the sample data he collected to test if the frequency of defective items produced by machine A is less than the frequency of defective items produced by machine B.
Select the appropriate test that Harvey should perform to test his hypothesis.
a. two-sample t-test for two means
b. one-sample z-test for a mean
c. one-sample z-test for a proportion
d. matched-pairs t-test
e. two-sample z-test for two proportions
Answer:
e. two-sample z-test for two proportions
Step-by-step explanation:
He has two machines, which have a proportion of defective motherboards. He want to compare this two proportions.
He takes two samples, one for each machine, and calculate the proportion in order to statistically test if there are significant difference between the proportions.
Then, this is a two-sample z-test for two proportions
Dash puts $4125 into an account using compounded continuously. If he keeps the
money in the account for 5 years and now has a total of $4193.89. What is the
interest rate?
Answer:
0.33%
Step-by-step explanation:
The account value when principal P is compounded continuously at annual rate r for t years is given by ...
A = Pe^(rt)
For the given values, we can solve for r:
4193.89 = 4125e^(r·5)
We can divide by 4125, take the natural log, then divide by the coefficient of r to find the value of r:
ln(4193.89/4125)/5 = r ≈ 0.33%
The interest rate is about 0.33%.
