Answer:
Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.
Step-by-step explanation:
1) Formulate the hypotheses:
H0 : p1=p2
Ha: p1 ≠ p2
2) The significance level is chosen at ∝= 0.1
3) The critical region is Z∝/2 ≥ ± 1.645
4) The test statistic under H0 is
Z = p1^- p2^/ √p^q^( 1/n1 + 1/n2)
p1^= proportion of of teenagers liking the new product.
p2^ = proportion of of parents of young children liking the new product.
p1^= 4/5
p2^= 1/5
p^= 5(0.8) + 5(0.2)/5+5= 4+1/10= 0.5
q^= 0.5
Thus
Z= p1^- p2^/ √p^q^( 1/n1 + 1/n2)
z= 0.8-0.2/√0.5*0.5( 1/5 + 1/5)
z= 0.6/ 0.316227
z= 1.897
5) Conclusion:
Since the calculated Z falls in the critical region therefore the null hypothesis is rejected and concluded that there is a difference between the views of these two populations.
Ms. Jankowski’s art class has a total of 35 students enrolled. Seven of the thirty-five students are girls. What percentage of the class is made up of boys? *
Answer:
80% of the class is made up of boys
Step-by-step explanation:
7/35 are girls, which means, 28/35 are boys (35 - 7)
To find the percentage, you divide 28 by 35
28/35 = 0.8 or 80%
Below are two parallel lines with a third line intersecting them
Answer:
its 122
Step-by-step explanation:
just did it on khan academy
The dot plots show the heights of the players on two basketball teams.
Which statement is best supported by these data?
Answer:
hgfdcvbjk
Step-by-step explanation:
jhgfdsxzxdcfvgbhjkl
C = 172.7 cm
Use the formula, c = ad, and x = 3.14, to find the diameter of this circle whose circumference equals 172.7 cm.
A. 55 cm
B. 27.5 cm
O c. 542.278 cm
D. 5.5 cm
O E. 86.35 cm
Answer:
B
Step-by-step explanation:
On test 7, Josue's score dropped back from 98 to 85. What is the percent decrease?
Answer:
13 %
I hope it's correct.
Step-by-step explanation:
initial marks (o) = 98
final marks (m) = 85
rate (r) = ?
Now,
r =
[tex] \frac{o - m}{o} \times 100percent[/tex]
= ((98-85)/98)x100%
=13.26%
What is 57 divided by 90?
Answer:
0.63 should be your answer
Answer;
0.6333333
Step-by-step explanation:
I think it's helps you
What is the mean of the data set?
{20, 1, 14, 14, 9,8}
Answer and Step-by-step explanation:
To find the mean, you have to add all of the data together, then divide by the amount that there is.
So, when adding together the data, we get 66. We have 6 values, so we will divide 66 by 6.
66 divided by 6 is 11.
The mean of the data set is 11.
#teamtrees #PAW (Plant And Water)
Answer:
11
Step-by-step explanation:
20+14+14+9+8=66
66 divide by 6 = 11
Find the value of 3/x+7
if X= 25.
A) 32
B) 82
C) -8
D) 22
Answer:
32
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
If evaluated this is the answer!
pair of ratios. 1 : 2 = ___ : 8
Answer:
4
Step-by-step explanation:
Answer:
1 : 2 = 4 : 8
Step-by-step explanation:
HELP ME PLEASE PLEASE PLEASE
Answer:
( 4 x 10 y )
Step-by-step explanation:
What is equivalent to 3n+2(1-4n)
Answer:
-5n + 2
Step-by-step explanation:
distribute 2 into (1 - 4n)
3n + 2 - 8n = -5n + 2
show how you got your answer
Please help me with this question!! I also need the steps
Hi there!
[tex]\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}[/tex]
We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.
write numbers on the blanks to create a different expression that is equal to (3+4)+5
Answer:
(3+4)+5=12
Step-by-step explanation:
(3 + 4 ) = 7
7 + 5 =
12
who is spongeborb ???
Answer:
Spongeborb???
I don't know a spongeborb, but I DO know a spongebob
Spongebob is my homie, he lives right next door to me in his pineapple...and occasionally, I make him do my dishes
Answer: spongeborb?
SpongeBob SquarePants is the title character and protagonist of the American animated television series of the same name. He is a sea sponge who works as a fry cook at the Krusty Krab, a fast food restaurant known for its signature burger, the Krabby Patty.
Step-by-step explanation:
Have a nice day!
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answer:
113
Step-by-step explanation:
quadrilateral PQRS has coordinates P(-5, -2), Q(-2, -2), R(-4, -6) and S(-7, -6). Where is P' after quadrilateral PQRS is reflected over the x-axis? PLEASE HELP!!! QUICK
A. (-5, 2)
B. (5, 2)
C. (5, -2)
D. (-2, 5)
Estimate a 15% tip on a dinner bill of $63.27 by first rounding the bill amount to the nearest ten dollars.
Answer:
69
Step-by-step explanation:
Nearest 10 = 60
15%×60 = 9
60+9 = 69
The binomial (a+5) is a factor of a2+7a+10. What is the other factor?
(a+2)
(a+5)
(a−2)
(a−5)
Answer:
(a+2)
Step-by-step explanation:
a²+7a+10 = (a + 5) (a + 2)
a + 5
X 5a + ?a = 7a => 5a + 2a = 7a, 5 × ? = 10 => 5 × 2 = 10
a + 2
______
(a + 5) (a + 2)
Answer:
a
Step-by-step explanation:
If 5% of 100 is 5 and 10% of 100 is 10, what is 35% of 100? Explain your reasoning.
Answer:
35% of 100 is 35
Step-by-step explanation:
the first person who answered this did a good job at explaining it
Answer:
35% of 100 is 35
Step-by-step explanation:
so trying to get this right hope it helps :D
plzzzzzzzzzzzzzzzzzzzzzzzzz help me this is a grade
Answer:
1.83
Step-by-step explanation:
Answer:
I'm not good with models and modeling but the answer will be 1.83.
What kind of graph would be best to show the results of a group of students who were asked about their favorite kind of pizza. Explain your answer in complete sentences.
Answer:
A graph that would be best for a group of students trying to figure out there favorite pizza is a pie graph.
Step-by-step explanation:
Hall and rey are seeing who can make the most money working their new summer jobs. Rey made $154.21 in the first month. If hall finishes the summer with $313.06, how many hours at a rate of $8.04 per our, does rey need to work to make more than hall
Write an inequality that represents the situation using x to represent the hours
Answer:
x564.99
Step-by-step explanation:
A coin and a number cube with the numbers 1 through 6 are tossed. What
is the probability of the coin showing tails and the number cube showing
the number 3?
a. 1/12
b. 1/4
c. 1/8
d. ½
with some justification please
Answer:
yes
Step-by-step explanation:
opo
A political pollster wants to know what proportion of voters are planning to vote for the incumbent candidate in
an upcoming election. A poll of 150 randomly selected voters is taken from the more than 2,000 voters in the
population, and 78 of those selected plan to vote for the incumbent candidate.
Based on this sample, which of the following is a 90% confidence interval for the proportion of all voters who
plan to vote for the incumbent candidate?
Answer:
90% confidence interval -> {0.4529, 0.5871}
Step-by-step explanation:
Check conditions for a 1-proportion z-interval:
np>10 -> 150(0.52)>10 -> 78>10 √
n(1-p)>10 -> 150(1-0.52)>10 -> 72>10 √
Random sample √
n>30 √
For a 90% confidence interval, the critical value is z=1.645
The formula for a confidence interval is:
CI = p ± z√[p(1-p)/n]
Given:
p = 78/150 = 0.52
n = 150
z = 1.645
Therefore, the 90% confidence interval is:
CI = 0.52 ± 1.645√[0.52(1-0.52)/150] = {0.4529, 0.5871}
Context: We are 90% confident that the true proportion of all voters who
plan to vote for the incumbent candidate is contained within the interval
Beth wants to buy Christmas lights to decorate her new home. At various stores, Beth found lights priced from $6.99 a strand to $25.99 a strand. Beth bought almost $200 worth of the cheapest lights so that she could have as many lights on her house as possible. For Beth, Christmas lights are a(n) _____.
Answer:
Christmas lights are price based shopping products
Step-by-step explanation:
From the question we understand that, Beth bought as many cheapest lights as possible. This means that she places value over quantity than quality.
The above is an illustration of price based shopping products where customers (in this case, Beth) see all products (in this case, Christmas lights) as similar products, irrespective of their different qualities (after all, they all light Christmas trees).
Because of this, the customer will opt for least expensive items, leaving the more expensive items.
Can someone answer this? I’ll give points + brainalist
PLEASE HELPPP! I'LL GIVE BRAINLEST
7
11 X
Find the exact value of x.
X=
Do the side lengths form a Pythagorean triple?
o yes
O no
Answer:
[tex] \sqrt{49 + 121} = \sqrt{170} [/tex]
No , The side lengths of the triangle does not form a Pythagorean triple
The value of x = 13.038 = √170
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be ΔABC
Now , the base of the triangle BC = 11
The height of the triangle AB = 7
The hypotenuse of the triangle AC = x
Now , the length of AC can be calculated from the Pythagoras Theorem
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
And , AC² = AB² + BC²
Substituting the values in the equation , we get
AC² = 11² + 7²
AC² = 121 + 49
AC² = 170
Taking square roots on both sides of the equation , we get
The value of AC = √170
The value of AC = 13.038
Therefore , the value of x = 13.038
Hence ,
No , The side lengths of the triangle does not form a Pythagorean triple
The value of x = 13.038 = √170
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ2
Evaluate :
[tex] \frac{3}{8} + \frac{2}{9} [/tex]
[tex] \frac{4}{9} + \frac{1}{2} [/tex]