Answer:
Step-by-step explanation:
Given data;
n = 17
[tex]\sum x =7692[/tex]
[tex]\sum x^2=3685124[/tex]
[tex]\sum y =7656\\\\ \sum xy=3662682[/tex]
Slope:
[tex]\hat B_1=\frac{n \sum xy - \sum x \sum y}{n \sum x^2 - ( \sum x)^2} \\\\=0.96994[/tex]
≅ 0.970
y - intercept :
[tex]\hat B_0 = \frac{\sum y}{n} - \hat B\frac{\sum x}{n} \\\\=11.48178[/tex]
≅ 11.482
a)
Equation :
[tex]\hat y = 11.482+0.970x[/tex]
b)
Predicted wright meter reading
[tex]\hat y = 11.48178+0.96994(563)\\\\=557.558[/tex]
c)Predicted wright meter reading
[tex]\hat y = 11.48178+0.96994(342)\\\\= 343.201[/tex]
A tile is chosen at random from a bag containing the following tiles: 7 blue, 3 green, 6 yellow, and 4 purple. Let P be the probability distribution defined on the set {blue, green, yellow, purple}. Write each probability
Answer:
P of b=7/20
P of g=3/20
P of y=6/20=3/10
P of p=4/20=1/5.
Step-by-step explanation:
there are in total 20 tiles so S=20
there are 7 blue tiles so P=E/S=7/20
there are 3 green tiles so P=E/S=3/20
there are 6 yellow tiles so P=E/S=6/20=3/10.
there are 4 purple tiles so P=E/S=4/20=1/5
3 1/6 + 8 2/9 - 1 1/2 equals
Answer:
9.88888888889 or rather, 8 8/9
Step-by-step explanation:
She determined that the solution is (–3, –3). Is she correct? If not, explain why. Yes, she is correct. No. She switched the x and y values of the intersection point when writing the solution. No. She used the wrong y-intercepts when graphing the equations. No. She used the wrong slopes when graphing the equations.
Answer: No she used the wrong slopes when graphing the equations
Step-by-step explanation:
Answer:
D
Step-by-step explanation: No. She used the wrong slopes when graphing the equations.
Which of the following are valid names for the triangle below? Check all that apply.
Answer:
the answer i think is DMR
Step-by-step explanation:
because u use the letters from the corners
Which expression is equivalent t to 2x+3y-x-(8+1)?
x+3y-9
Hope this helps!
In ΔUVW, the measure of ∠W=90°, UV = 71 feet, and VW = 11 feet. Find the measure of ∠V to the nearest degree.
Answer:81
Step-by-step explanation:trust
sin65°cos25 °+sin25 °cos65 °
Answer:
[tex]\sin{65\º}\cos{25\º} + \sin{25\º}\cos{65\º} = \sin{65\º + 25\º} = \sin{90\º} = \sin{\frac{\pi}{2}} = 1[/tex]
Step-by-step explanation:
We use trigonometric identities to solve this question:
[tex]\sin{A + B} = \sin{A}\cos{B} + \sin{B}\cos{A}[/tex]
In this problem:
We have the right side of the equality, that is:
[tex]\sin{65\º}\cos{25\º} + \sin{25\º}\cos{65\º} = \sin{A}\cos{B} + \sin{B}\cos{A}[/tex]
Which means that [tex]A = 65\º, B = 25\º[/tex]
Then
[tex]\sin{65\º}\cos{25\º} + \sin{25\º}\cos{65\º} = \sin{65\º + 25\º} = \sin{90\º} = \sin{\frac{\pi}{2}} = 1[/tex]
What is the product of 4xy and y^2+2x
Look at the attached picture
Hope it will help you
Good luck on your assignment
What is the area of the shape below
Answer:
The area of the shape is [tex]A=886 \:cm^2[/tex].
Step-by-step explanation:
The shape in the graph is a composite figure is made up of several simple geometric figures such as triangles, and rectangles.
Area is the space inside of a two-dimensional shape. We can also think of area as the amount of space a shape covers.
To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together.
First separate the composite shape into three simpler shapes, in this case two rectangles and a triangle. Then find the area of each figure.
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
The area of the first rectangle is [tex]A=34\cdot 16=544\:cm^2[/tex]
The area of the second rectangle is [tex]A=11\cdot19=209\: cm^2[/tex]
The area of a triangle is given by the formula [tex]A=\frac{1}{2} bh[/tex] where b is the base and h is the height of the triangle.
The area of the triangle is [tex]A=\frac{1}{2} \cdot 14\cdot19=133\:cm^2[/tex]
Finally, add the areas of the simpler figures together to find the total area of the composite figure.
[tex]A_{composite\:shape}=544+209+133=886 \:cm^2[/tex]
What does the statement |a|=5 mean?
A. a is equal to 5.
B. a is equal to −5.
C. a is 5 units from 0.
D. You cannot tell without knowing the value of a.
Answer:
The answer would be A
Step-by-step explanation:
|a| is absolute value so it means it equals 5
MODELING WITH MATHEMATICS The football field is rectangular
(10x + 10) ft
TAR
(4x+20) ft
a. Write a polynomial that represents the area of the football field. Write your answer in standard form.
ft2
b. Find the area of the football field when the width is 160 feet.
The area is
square feet
Answer:
a. area of the football field = 40ײ + 240x + 200 ft²
b. area = 57600 ft²
Step-by-step explanation:
The football field is rectangular in shape . Therefore, the area of the football field is the product of length and width.
length = 10x + 10
width = 4x + 20
area of the football field = (10x + 10)(4x + 20)
area of the football field = 40ײ + 200x + 40x + 200
area of the football field = 40ײ + 240x + 200
The standard form polynomial simply implies that the terms are ordered from the largest exponent to the smallest exponent. Therefore the standard form will be
area of the football field = 40ײ + 240x + 200 ft²
b. area of the football field when width is 160 ft.
The width of the field = 4x + 20. Therefore
160 = 4x + 20
4x = 160 - 20
4x = 140
divide both sides by 4
x = 140/4
x = 35
area = length × width
area = (10x + 10) × 160
where
x = 35
area = (350 + 10) × 160
area = 360 × 160
area = 57600 ft²
a. area of the football field = 40ײ + 240x + 200 ft²
b. area = 57600 ft²
The calculation is as follows:
length = 10x + 10
width = 4x + 20
So,
area of the football field = (10x + 10)(4x + 20)
= 40ײ + 200x + 40x + 200
= 40ײ + 240x + 200
b. area of the football field when width is 160 ft.
The width of the field = 4x + 20.
So,
160 = 4x + 20
4x = 160 - 20
4x = 140
x = 35
area = length × width
= (10x + 10) × 160
= (350 + 10) × 160
= 360 × 160
= 57600 ft²
learn more: https://brainly.com/question/1504221?referrer=searchResults
least to greatest 5, -2, -1, 2
Answer:
-2 , -1, 2, 5
Step-by-step explanation:
Answer:
-2,-1,2,5
Step-by-step explanation:
It is reported that dog bites are somewhat common among tourists who visit Thailand due to the stray dog population. One study showed that 13 out of 1000 tourists get bit by a dog. On average, the percentage of tourists who have been bit by a dog that get rabies is around 15%. Ninety-nine percent of tourists who do not get bit by a dog will not get rabies.
1. Define the two events in this problem.
A=
B=
2. Using proper probability notation, identify the following values:
a. 0.013 =
b. 0.15 =
c. 0.99 =
3. Create and upload an image of a hypothetical two-way table for this scenario.
4. Create and upload an image of a tree diagram for this scenario.
5. Using either your table or tree, calculate the probability that a randomly selected tourist will end up getting rabies. Upload a picture of your work and place your final answer (rounded to three decimal places) in the blank provided. Include proper probability notation in the work that you upload.
6. Using either your table or tree, calculate the probability that a tourist who does not get rabies then gets bit by a dog. Upload a picture of your work and place your final answer (rounded to three decimal places) in the blank provided. Include proper probability notation in the work that you upload.
Answer:
Step-by-step explanation:
Hello!
Tourists that visit Thailand are exposed to being bitten by a stray dog.
People that get bitten by a stray dog are at risk of getting rabies.
1) So you can determine two possible events that may happen:
A: The tourist got bitten by a stray dog.
B: The tourist got rabies.
2)
a.
"13 out of 1000 tourists get bit by a dog"
P(A)= 0.013
b.
"The percentage of tourists who have been bitten by a dog that get rabies is 15%" i.e. Given that the tourist was bitten by a dog, he got rabies. This is a conditional probability, is the probability of "B" given that "A" has already happened:
P(B|A)= 0.15
c.
"Ninety-nine percent of tourists who do not get bit by a dog will not get rabies."
The event "The tourist did not get bitten by a dog" is complementary to "A", so I'll symbolize it as: [tex]A^c[/tex]
The event "The tourist did not get rabies" is complementary to the event "B", so I'll symbolize it as [tex]B^c[/tex]
[tex]P(B^c|A^c)= 0.99[/tex]
3) See attachment for table
P(A)= 0.013 ⇒ P([tex]A^c[/tex])= 1 - 0.013= 0.987
P(A∩B)= P(B|A)*P(A)= 0.15*0.013= 0.00195 = 0.002
P(A∩[tex]B^c[/tex])= P(A) - P(A∩B)= 0.013-0.00195= 0.01105 = 0.011
[tex]P(B^c|A^c)= 0.99[/tex]
P([tex]B^c[/tex]∩[tex]A^c[/tex])= P([tex]A^c[/tex]) * [tex]P(B^c|A^c)[/tex]= 0.987*0.99= 0.977
P([tex]B^c[/tex])= P(A∩[tex]B^c[/tex]) + P([tex]B^c[/tex]∩[tex]A^c[/tex])= 0.011 + 0.977= 0.988
P(B∩[tex]A^c[/tex])= P([tex]A^c[/tex]) - P([tex]B^c[/tex]∩[tex]A^c[/tex])= 0.987 - 0.977= 0.01
5) P(B)= P(A∩B) + P(B∩[tex]A^c[/tex])= 0.002 + 0.01= 0.012
4) Attch
6)
P(A|[tex]B^c[/tex])= P(A∩[tex]B^c[/tex]) = 0.011 = 0.0111
P([tex]B^c[/tex]) 0.988
I hope this helps!
A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere?
V
v-9
• V-$(14)
v-9 (14)
Answer:
v-9 (14)
Step-by-step explanation:
How many units is the perimeter of a rectangle with vertices located at (–2,2), (–2,–2), (4,–2), and (4,2
Answer:
20
Step-by-step explanation:
The perimeter is the sum of the side lengths:
4 + 6 + 4 + 6 = 20 . . . . units
video games six hours every weekend. he also plays 2 hours each day of the week. how many hours does mr.danie spend playing video games over 3 weeks
Answer:66 hours of video games in three weeks!
Step-by-step explanation:First you would multiply 6 by 2 because the weekend refers to Saturday and Sunday which are two days,when you multiply 6 by 2 you get 12.Next you would multiply 2 by 5 because the problem says 2 hours each day of the week,when you multiply 2 by 5 you get 10.Then you add 10 and 12 which gets you to 22.Last but not least you multiply 22 by 3 because the question says how many hours does mr.danie spend playing video games over 3 weeks,which bring you to 66!
I hope I helped!
PLEASE ANSWER ASAP! I WILL GIVE BRAINLIEST ANSWER !!!
Rewrite the expression in the form 10^n
(10^1)^3
Answer: 10^3
Step-by-step explanation:
Since the problem is displayed at [tex](10^1)^3[/tex], you see that there is a parenthesis separating the [tex]10^1[/tex] and the 3. In long story short, if you see a parenthesis, if means to multiply.
[tex]10^1^*^3=10^3[/tex]
The National Transportation Safety Board publishes statistics on the number of automobile crashes that people in various age groups have. A researcher claims the population proportion of young drivers, ages 18 – 24, having accidents is greater than 12%. Her study examined 1000 young drivers ages 18 – 24 and found that 134 had an accident this year. Test at α = .05. a) State H0 and Ha b) Find the critical value, show work c) Find the appropriate test statistic, show work d) Do a P - value test e) Make a decision to reject or fail to reject the null hypothesis and interpret the results.
Answer:
a) Null hypothesis:[tex]p\leq 0.12[/tex]
Alternative hypothesis:[tex]p > 0.12[/tex]
b) [tex] z_{\alpha}=1.64[/tex]
c) [tex]z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362[/tex]
d) [tex]p_v =P(z>1.362)=0.0866[/tex]
e) For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12
Step-by-step explanation:
Information given
n=1000 represent the random sample selected
X=134 represent the number of young drivers ages 18 – 24 that had an accident
[tex]\hat p=\frac{134}{1000}=0.134[/tex] estimated proportion of young drivers ages 18 – 24 that had an accident
[tex]p_o=0.12[/tex] is the value that we want to verify
[tex]\alpha=0.05[/tex] represent the significance level
Confidence=95% or 0.95
z would represent the statistic
[tex]p_v{/tex} represent the p value
Part a
We want to verify if the population proportion of young drivers, ages 18 – 24, having accidents is greater than 12%:
Null hypothesis:[tex]p\leq 0.12[/tex]
Alternative hypothesis:[tex]p > 0.12[/tex]
The statistic would be given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
Part b
For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the right and we got:
[tex] z_{\alpha}=1.64[/tex]
Part c
For this case the statistic would be given by:
[tex]z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362[/tex]
Part d
The p value can be calculated with the following probability:
[tex]p_v =P(z>1.362)=0.0866[/tex]
Part e
For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12
The expression above can also be written in the form a=, b=,c=. 3 6/5
Answer:
a = 3, b = 6, c = 5
Step-by-step explanation:
[tex] {3}^{ \frac{6}{5} } = \sqrt[5]{ {3}^{6} } \\ equating \: it \: with \\ \sqrt[c]{ {a}^{b} } \: we \: find : \\ a = 3 \: \: b = 6 \: \: c = 5 \\ [/tex]
What is the value of n
Answer:
B) n = 6
Step-by-step explanation:
4n + 12 = 8n - 12
Combine like terms
24 = 4n
n = 6
Answer: 6
Step-by-step explanation:
set 4n+12 and 8n-12 equal to each other and you should get 6
heeeeeeeeeeeelllllllllllllpppppppp
19 is the median of the numbers
Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour. A research study will measure the cost of the new method over a sample production period.
a. Develop the null and alternative hypotheses most appropriate for this study.
b. Comment on the conclusion when H0 cannot be rejected.
c. Comment on the conclusion when H0 can be rejected
Answer:
A. For the situation presented, we find that the researcher assumes that the test with the new method will obtain results at a cost of less than $ 220.
the null hypothesis will be that the operation of the new method will cost not less than $ 220.
the alternative hypothesis will be that the operation of the new method will be less than $ 220
B. With the situation of the exercise we can affirm that the null hypothesis is not rejected, since the director has verified that the cost of the new method is below $ 220, so the new method can be implemented.
C. For this situation, it is observed that the null hypothesis has been rejected, so after verification, the manager has observed that the cost of the new method is less than $ 220, so the manager's proposal can be developed.
Answer:
a) H0: μ ≥ 220
Ha: μ < 220
b) there is no sufficient evidence to support the claim that the new production method reduces cost
c) there is sufficient evidence to support the claim that the new production method reduces cost
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 mean cost of production is equal or greater than $220 per hour.
H0: μ ≥ 220
The alternative hypothesis is that the mean cost of production is less than $220 per hour
Ha: μ < 220
b) the conclusion when H0 cannot be rejected is that there is no enough evidence to reject the Null hypothesis. So, there is no sufficient evidence to support the claim that the new production method reduces cost
c) the conclusion when H0 can be rejected is that there is enough evidence to reject the Null hypothesis. So, there is sufficient evidence to support the claim that the new production method reduces cost
Help out before 8pm
-geometry
Answer:
(0, -1)
Step-by-step explanation:
((4 + (-4))/2, (2 + (-4))/2) =
(0/2, -2/2) =
(0, -1)
Which is linear?
A) y=4-5x
B) y=-4x squared
C) y=-2x cubed
D) y=4-5x squared
Answer:
A
Step-by-step explanation
4 (5 points)
3
Solve 3t - 6 = t - 2
a) -4
6
b) 2
9
O c) 1
12
d) -2.
t = 2
so the answer is b?
it shows many numbers.
2t = 4 [simplify]
divide both sides by 2
2t/2 = 4/2
so t = 2, but i see that theres a 9 on b? is that an accident?
In a clothing store, 55% of the customers buy a shirt, 25% of the customers
buy a pair of pants, and 20% of the customers buy both a shirt and a pair of
pants.
If a customer is chosen at random, what is the probability that he or she buys
a shirt or a pair of pants?
A. 0.225
B. 0.60
C. 0.30
D. 0.80
Answer:
s= the customer buy a shirt
p= the customer buy pants
[tex] p(s) = 0.55, p(p) = 0.25 , p(s \cap p) =0.20[/tex]
And we want to find this probability:
[tex] p(s \cup p) [/tex]
And we can use the definition of total probability and we have:
[tex] p(s \cup p) = p(s) +p(p) -p(s \cap p)[/tex]
And replacing we got:
[tex] p(s \cup p) = 0.55+0.25 -0.20 = 0.60[/tex]
And the best answer for this case is:
B. 0.60
Step-by-step explanation:
For this case we can define the following events:
s= the customer buy a shirt
p= the customer buy pants
And we have the following probabilities given:
[tex] p(s) = 0.55, p(p) = 0.25 , p(s \cap p) =0.20[/tex]
And we want to find this probability:
[tex] p(s \cup p) [/tex]
And we can use the definition of total probability and we have:
[tex] p(s \cup p) = p(s) +p(p) -p(s \cap p)[/tex]
And replacing we got:
[tex] p(s \cup p) = 0.55+0.25 -0.20 = 0.60[/tex]
And the best answer for this case is:
B. 0.60
If nothing is known about p, 0.5 can be substituted for p in the sample-size formula for a population proportion. But when this is done, the resulting sample size may be larger than needed.
A) Under what circumstances will using p = 0.5 in the sample-size formula yield a sample size larger than needed to construct a confidence interval for p with a specified bound and a specified confidence level?
Choose the correct choice below.
O Whenever p is different from 0.5
O Only when p equals 0.5
O Only when p equals 1
O Only when p equals 0
Answer:
the second one
Step-by-step explanation:
please help me im stuck
Answer:
A. by adding an identical classroom and allowing students t use electric ans in it
Step-by-step explanation:
Because Fans are opposite to natural Air
what is the value of f(5) in the function below
f(x)=3x
Answer:
f(5) = 3*5
f(5) = 15
Answer: your answer is 243 :)
Step-by-step explanation:
What’s the correct answer for this?
Answer:
the first one
Step-by-step explanation:
hope this helps
Answer:
A.
Step-by-step explanation:
The coordinates are used in the order of (x1,y1)and (x2,y2)