Answer:
18225
Step-by-step explanation:
let 7th term = t7
t7= a.3^(7-1) (common formula of geometric series is a.r^(n-1)
or, 25= a. 3^6
or, a=25/729
now, for 13th term,
t13= a.r^(13-1)
= 25/729 × 3^12
=18225
In a survey of 140 undergraduate students in an elementary statistics class at UW, 12 said they were left-handed and 128 said they were right-handed. Assume the students are representative of all UW undergrads. Do these data provide evidence that the proportion of UW undergrads who are left-handed differs from the national proportion of 0.10 at the 5% significance level?
data: 12 out of 140, null probability 0.1 z = 0.563, p-value = 0.5731 alternative hypothesis: true p is not equal to 0.1 95 percent confidence interval: 0.04971124 0.14384532 sample estimates: P 0.08571429
a) Define the null and alternative hypothesis for answering the question being asked. Define both in words and in symbols.
b) The R output for running this test is shown below. What do you conclude for this test? Include your decision and an interpretation in the context of the problem. Be specific.
c) Explain in words what the p-value of 0.5731 means.
Answer:
a) The null hypothesis, H₀; p = 0.1
The alternative hypothesis, Hₐ; p ≠ 0.1
b) The proportion of left handed undergrads in UW differs from the national proportion of 0.1
c) The p-value is larger than the level of significance therefore there is statistical evidence supporting the alternative hypothesis
Step-by-step explanation:
The given data are;
The number of students in the sample, n = 140
The number of left handed students in the sample = 12
The number of right handed students in the sample = 128
The proportion of left handed students in the sample, [tex]\hat p[/tex] = 12/140 = 0.08571429
The significance level = 5%
The national proportion, p₀ = 0.1
a) The null hypothesis, H₀; p = 0.1
The null hypothesis is the proportion of left handed students in the UW is the same as the national proportion of 0.1
The alternative hypothesis, Hₐ; p ≠ 0.1
The alternative hypothesis is the proportion of left handed students in the UW is not the same as the national proportion of 0.1
b) Given from the output values of the Confidence Interval at 95% confidence level, (0.04971124, 0.14384532) which are both positive values, and the p-value of 0.5731, we conclude that there is a difference between the proportion of left-handed UW undergraduate students and the national proportion of 0.1
c) Given that the p-value of 0.5731 is larger than the significance level of 0.05, we reject the null hypothesis and there is significant statistical evidence to suggest that the proportion of UW undergrads who are left handed differs from the national proportion of 0.10
PLEASE HELP WILL MARK BRAINLIST
Answer:
the answer for question 2 is (D)
What is the resulting cross section if the cheesecake was sliced parallel to its points?
Answer:
Step-by-step explanation:
??What is parallel to a point?
If the cut is parallel to the cut-off point, the cross-section is a rectangle.
solving a system of linear equations algebraically:
Question:
find the value of x in the solution to the system of equations shown. y=12x+7
y=-6x+25
answer choices:
x=1
x=1.78
x=3
x=5.33
It was so easy xD
its x=1
y=12×1+7
y=-6×1+25
=19
Which expression is equivalent to 4(-2c) - c
-6c
8c - 1
-9c
7c + 1
I'm not good at this stuff -_-
Answer:
none of those?
Step-by-step explanation:
4(-2c) = -8c
Answer: -9c
Step-by-step explanation:
4(-2c) - c
= -8c - c
= -9c
-9c is the answer
please help with this algebra question
Answer:
i think its
[tex]P(x) = i ^{3}[/tex]
Step-by-step explanation:
Find the area of the shape
In a recent survey in a Statistics class, it was determined that only 70% of the students attend class on Fridays. From past data it was noted that 88% of those who went to class on Fridays pass the course, while only 20% of those who did not go to class on Fridays passed the course. a. What percentage of students is expected to pass the course? b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays? (Hint: the above problem is based on conditional probability concept and the Bayes theorem)
Answer:
a) 67.6% of students is expected to pass the course
b) 0.9112 = 91.12% probability that he/she attended classes on Fridays
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. What percentage of students is expected to pass the course?
88% of 70%(attended class)
20% of 100 - 70 = 30%(did not attend class). So
[tex]p = 0.88*0.7 + 0.2*0.3 = 0.676[/tex]
0.676*100% = 67.6%
67.6% of students is expected to pass the course.
b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?
Here, we use conditional probability:
Event A: Passed the course
Event B: Attended classes on Fridays.
67.6% of students is expected to pass the course.
This means that [tex]P(A) = 0.676[/tex]
Probability that passed and attended classes on Friday.
88% of 70%
This means that:
[tex]P(A \cap B) = 0.88*0.7 = 0.616[/tex]
Then
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.616}{0.676} = 0.9112[/tex]
0.9112 = 91.12% probability that he/she attended classes on Fridays
Forty people used a popular weight loss program. The mean weight loss was 3.0 lb and the standard deviation was 4.9 lb. Use a 0.01 significance level to test the claim that the mean weight loss is greater than o lb. Use Table A-3 to find the range of values for the P-value.
Answer:
P-value < 0.005
Step-by-step explanation:
just took it
I need help please.
Step-by-step explanation:
if I had to guess it's probably true
HELP WILL GIBE BRAINLIEST.
HOW MUCH IS IT FOR 1
Answer:
small is 0.018
medium is 0.016
large is 0.010
consider the absolute value functions c and d
which statement correctly describes these functions?
A.The maximum value of d is 5 less than the minimum value of c
B. The maximum value of d is 3 less than the maximum value of c.
C.The minimum value of d is 5 more than the maximum of c
D. The minimum value of d is 3 more than the maximum of value c.
100
400 people were surveyed
about their eye color. 8% of
the people surveyed have
green eyes. How many
people had green eyes?
Answer:
32 people
Step-by-step explanation: If there are 400 people and there is 8% of that, then first convert 8% to a decimal so its easier to work with. The multiply with 400:
0.08 * 400 = 32
Answer: 32 people have green eyes
Value of x
Give reasons
Answer:
50 degrees
Step-by-step explanation:
Samantha is 3 years older than her twin sisters. Next year the sum of age ages of all 3 sisters will be 45. how old is Samantha now?
which set does square 7 belong to? integers and irrational numbers irrational and real numbers real and rational numbers rational and whole numbers
Answer: irrational and real numbers
Ann went to the store. She bought a book for $4.00, pencils for $2.00, and a notebook for $3.00. What is her change if she paid with a $20.00 bill?
Answer:
$11 is her change
Step-by-step explanation:
This is a simple adding and subtracing problem.
What we first do is add up 4+2+3=9 then we subtract 9 from 20 which gives us $11
We can check our answer by add up 11 + 9 to see if it equals to 20
A dress is on sale for 35\% off of the regular price.
If d represents the regular price of the dress, which expression represents the sale price of the dress?
A.
0.35d
B.
0.65d
C.
1.35d
D.
1.65d
PART B
Use the information from Part A to answer the question below. The regular price of a dress is $90, determine the sale price of the dress.
The sale price of the dress is $
.
Answer:
Expression that represents the sale price of the wedding dress is
Solution:
Given that, the dress is on sale for 35 % off the regular price
Let the regular price of dress be "w"
To find: Expression that represents the sale price of the wedding dress
Let "s" be the sale price of wedding dress
Sale price = Regular price - discount price
Discount price is given as:
Discount price = 35 % of regular price
Discount price = 35 % of w
Thus discount price = 0.35w
Expression for the sale price of the wedding dress:
Sale price = Regular price - discount price
s = w - 0.35
s = 0.65
s= 0.65
Thus expression that represents the sale price of the wedding dress is
s=0.56
The Jones family took a 16 mile canoe ride down the Indian River in two hours. After lunch, the return trip back up the river took four hours. Find the rate,
in mph, of the canoe in still water and the rate of the current.
9514 1404 393
Answer:
canoe 6 mphcurrent 2 mphStep-by-step explanation:
The speed downriver was (16 mi)/(2 h) = 8 mph. The speed upriver was (16 mi)/(4 h) = 4 mph. The canoe's speed in still water is the average of these speeds: (8+4)/2 = 6 miles per hour.
The current's speed is the difference between the actual speed and the canoe's speed: 8 -6 = 2 miles per hour.
The speed of the canoe in still water is 6 mph; the rate of the current is 2 mph.
what is the volume of a rectangular prism wi the the dimensions3 base 5/8 cm, height 2/3 cm, and length 3/4 cm?
Answer:
5/16 cm³Step-by-step explanation:
Given that the:
Width (W) = 5/8 cmHeight (H) = 2/3 cmLength (L) = 3/4 cmFind the volume of the cuboid!
Volume equation =
W × H × L =
5/8 × 2/3 × 3/4 =
(5×2×3)/(8×3×4) =
30/96 =
5/16 cm³The volume = 5/16 cubic centimetres
____________________
#IndonesianPride - kexcvi
The height of a thrown ball is a quadratic function of the time it has been in the air. The graph of the quadratic function is the parabolic path of the ball.The vertex of the graph is (1, 20) and the path of the ball includes the point (0,4). What is an expression that defines this function? Write the quadratic function in vertex form.
Answer:
f(x) = a(x - 1) + 20
Step-by-step explanation:
Vertex form is written in this format: f(x) = a(x - h) + k. The vertex point is written in the form (h,k). To write the vertex in the equation, fill in the digits where they belong.
Hope it helps!
The ball's parabolic route is represented by the quadratic function's graph. The quadratic function is x²-2x+4=0.
Given that,
A thrown ball's height is a quadratic function of the amount of time it has been in the air. The ball's parabolic route is represented by the quadratic function's graph. The ball's route includes the location (1, 20), which is the graph's vertex (0,4).
We have to find what does the expression for this function look like? In vertex form, write the quadratic function.
What is the vertex form of a parabola?Use y= a(x-h)² + k as the vertex form of a parabola.
(The parabola opens upward if "a" is positive and downward if "a" is negative.) Additionally, the vertex of the (h,k) is a parabola.
The vertex of the parabola (h,k) is (1,20)
The a value is 4 and y as 0.
y=a(x-h)²+k
0=4(x-1)²+20
0=4(x²-2x+1)+20
0=4x²-8x-4+20
0=4x²-8x+16
4x²-8x+16=0
x²-2x+4=0
Therefore, the quadratic function is x²-2x+4=0.
To learn more about quadratic visit: https://brainly.com/question/22364785
#SPJ2
Y= 5x -8 function rule
Answer:
Step-by-step explanation:
Write 5x – 4y = 10 in slope-intercept form
factor out the combine term 21x+49y
If the radius is 8m, what is the diameter
Answer:
16m
Step-by-step explanation:
radius is half of diameter
Suppose we have 14 boxes of pastries (each box of a different flavor), each with a scone and a muffin inside. For example, one box has a raspberry muffin and a raspberry scone. How many different ways can we select exactly 5 muffins and 9 scones so that each one is a unique flavor? (Order does not matter)
Answer:
Step-by-step explanation:
&50+ E3 857=6180 150 #130 GELD Four girls have $5.00 to share equally. How much money will each girl get? Explain. What if four girls want to share $5.52 equally? Hov vill each
girl get? Explain.
answer is 5.00/4=1.25
Answer:
Step-by-step explanation:
(5 dollars)/(4 girls) = (5/4 dollars)/girl = (1.25 dollars)/girl
:::::
(5.52 dollars)/(4 girls) = (5.52/4 dollars)/girl = (1.38 dollars)/girl
help please
thank you for your help
Answer:
3(7+x²)x-2
3x(7+x²)-2
21x+3x³-2
I don’t understand, can someone help?
Answer:
The answer is 3
Step-by-step explanation:
if the other side is 10 then 2x+4 should be 10
2*3+4=10
whats 100 times 63 times 23 divided by 20 times 30 times 0 times 5 times 50 times 10
Answer:
0
Step-by-step explanation:
100 × 63 × 23 ÷ 20 × 30 × 0 × 5 × 50 × 10
You see the bold " × 0"; this means whatever happened before the " × 0" means nothing. You are left with "× 0 × 5 × 50 × 10". Any number times 0 or 0 times any number = 0. Your answer is 0.