Answer:
30
Step-by-step explanation:
least common multiple
10 = 2*5
3 = 3
2*3*5 = 30
The least common multiple is 30
Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males and females, the following question: "Are you annoyed by people who repeatedly check their mobile phones while having an in-person conversation?" Among the 530 males surveyed, 175 responded "Yes"; among the 575 females surveyed, 218 responded "Yes." Does the evidence suggest a higher proportion of females are annoyed by this behavior? Complete parts below.
(a) Determine the sample proportion for each sample.
The proportions of the females and males who took the survey who are annoyed by the behavior in question are ____and _____ respectively. (Round to four decimal places as needed.)
(b) Explan why this study can be analyzed using the methods for conducting a hypothesis test regarding two independent proportions. Select all that apply.
A. The sample size is more than 5% of the population size for each sample
B. The sample size is less than 5% of the population size for each sample
C. The samples are dependent.
D. The data come from a population that is nornally distributed.
E. np (1-) 10 and n2p2 (1-2) 210
F. The samples are independent.
(c) What are the null and alternative hypotheses? Let p1 represent the population proportion of females who are annoyed by the behavior in question and p2 represent the population proportion of males who are annoyed by the behavior in question.
Answer:
a)
The proportions of the females and males who took the survey who are annoyed by the behavior in question are 0.3301 and_0.3791 respectively
b)
D) The data come from a Population that is Normally distributed
F) the samples are independent
c)
Null hypothesis: H₀: [tex]p_{m} ^{-} - p^{-} _{fm} \leq 0[/tex]
Alternative Hypothesis H₁: [tex]p_{m} ^{-} - p^{-} _{fm} \geq 0[/tex]
Step-by-step explanation:
Given data Among the 530 males surveyed, 175 responded "Yes
The sample proportion of males
[tex]p_{m} ^{-} = \frac{x}{n} = \frac{175}{530} = 0.3301[/tex]
The sample proportion of 575 Females surveyed, 218 responded "Yes
[tex]p_{fem} ^{-} = \frac{x}{n} = \frac{218}{575} = 0.3791[/tex]
a)
The proportions of the females and males who took the survey who are annoyed by the behavior in question are 0.3301 and_0.3791 respectively
b)
The data come from a Population that is normally distributed.
The two samples are independent
c)
Null hypothesis: H₀: [tex]p_{m} ^{-} - p^{-} _{fm} \geq 0[/tex]
Alternative Hypothesis H₁: [tex]p_{m} ^{-} - p^{-} _{fm} \leq 0[/tex]
We will use two samples Z - hypothesis test
[tex]Z = \frac{p^{-} _{m} - p^{-} _{fem} }{se(p^{-} _{m}-p^{-} _{fem} ) }[/tex]
[tex]Se(p_{m} -p_{fem}) = \sqrt{\frac{p_{m}(1-p_{m}) }{n_{m} }+\frac{p_{fem} (1-p_{fem} )}{n_{fem} } }[/tex]
[tex]Se(p_{m} -p_{fem}) = \sqrt{\frac{0.3301(1-0.3301) }{530 }+\frac{0.3791(1-0.3791)}{575} }[/tex]
[tex]Se(p_{m} ^{-} - p^{-} _{fem} ) = \sqrt{0.000826} = 0.0287[/tex]
The test statistic
[tex]Z = \frac{0.3301-0.3791}{0.02875}[/tex]
Z = -1.7043
|Z| = |-1.7043|
The tabulated value Z₀.₉₅ = 1.96
The calculated Z= 1.7043 < 1.96 at 0.05 level of significance
The null hypothesis is accepted
Conclusion:-
The evidence suggest not a higher proportion of females are annoyed by this behavior
In the figure below, which term best describes point T?
Answer:
A
Step-by-step explanation:
Consider that point A is reflected across the x-axis. What is the distance between point A and the point of its reflection?
Answer:
It would be 2 x the absolute value of the y coordinate.
Step-by-step explanation:
Example:
(5,-3)
Absolute value of y-coordinate is 3 and distance would equal 2 x 3 = 6 units apart.
NEED HELP GEOMETRY ASAP
1. What is the circumference, in inches, of the circular base of the conical hat? Round to the nearest tenth.
2. You want to cover the top of the hat with fabric. What is the surface area, in square inches, that you will cover? (Do not include the base of the cone) Round to the nearest square inch.
Answer:
1. The circumference of the circular base of the conical hat is 52.36 inches
2. The surface area of the cone that needs to be covered is 262 in.²
Step-by-step explanation:
Here we have that the given parameters are;
Diameter, D of circular = 20 in. = 2 × radius R, of the circle
R = 10 in.
Cut out section of cut out sector of circle = 60°
Therefore, circumference of the circular base = π×D×(360 - 60)/360 which gives;
The circumference of the circular base of the conical hat = π×20×(30)/36 = π·50/3 = 52.36 in.
Therefore, the radius of the formed cone = π·50/3/(2·π) = 25/3 = [tex]8\tfrac{1}{3}[/tex] = 8.33 in.
The formed cone satisfies the equation;
R² = h² + r²
Where:
h = Height of the cone
r = radius of the cone
∴ 10² = h² + 8.33²
∴ h² = 10² - 8.33² = 30.56 in.
The lateral surface area of the cone = π×r×l where l = R, we therefore have;
The lateral surface area of the cone = π×8.33×10 = [tex]\pi \cdot 8\tfrac{1}{3}[/tex] = 261.8 in.² = 262 in.².
The surface area of the cone that needs to be covered = The lateral surface area of the cone = 262 in.².
Answer correctly please
Answer: I think that it is B
Step-by-step explanation:
What is the volume of this triangular prism?:HURRY:
Answer:
195 m3
Step-by-step explanation:
Answer:195 m^3
Step-by-step explanation:
volume of triangular prism=base area x height
height=h=5m
Base area=0.5 x 13 x 6
Base area=39
Volume of triangular prism=39 x 5
Volume of triangular prism=195m^3
Solve (3x+7)=4x for x
Answer:
x=7
Step-by-step explanation:
(3x+7)=4x
Subtract 3x from each side
(3x+7) -3x=4x-3x
7 = x
What’s the correct answer for this?
Answer:
B.
Step-by-step explanation:
Again taking proportionality between their any two sides as the two triangles as considered separate are similar
AB/AC=AD/AE
4/6=7/AE
cross Multiplying
4×AE =6×7
AE=42/4
AE=10.5
When Jonas becomes the Receiver of Memory, he gets a rule that he may not tell his dreams. He wants to know how many of his 505050 classmates have the same rule. He asks 555 friends from his class whether they may tell their dreams. Of those, 444 say that they may.
Answer:
101010 classmates can't tell their dreams.
Step-by-step explanation:
I'm not sure what the question is, but if it is an average thing than 444 of 555 is 80 percent, so if that is what it wants 404040 of the students can share their dreams, and 101010 can't.
Hope this helps!
Let a = 60. What is the value of a ÷ 5? equation
Answer:
12
Step-by-step explanation:
Just substitute 60 for a and divide it by 5
Ta Da!!
Which prediction can you make based on this graph?
Predicted Population by Continent
Asia
Africa
6,000
O The populations of Asia and Africa will continue to
increase at the same rate.
O The populations of Asia and Africa will continue to
decrease at the same rate.
More people will be living in Africa than in Asia
sometime around 2120
5,000
4,000
Population (Millions)
3,000
O More people will be living in Asia than in Africa
sometime around 2120
2,000
1,000
0
2020
2080
2100
2040
2060
Year
Answer:more people will be living in Africa than in Asia sometime around 2120
Step-by-step explanation:
Answer:
More people will be living in Africa than in Asia sometime around 2120.
Step-by-step explanation:
We conduct a study to determine whether the majority of community college students plan to vote in the next presidential election. We choose a significance level of 0.05. We survey 650 randomly selected community college students and find that 54% of them plan to vote. The P-value is 0.02. H0: 50% of community college students plan to vote in the next presidential election. Ha: More than 50% of community college students plan to vote in the next presidential election. What can we conclude
Answer:
we can conclude that more than 50% of community college students plan to vote in the next presidential election
Step-by-step explanation:
Decision Rule
If;
P-value > significance level --- accept Null hypothesis
P-value < significance level --- reject Null hypothesis
Z score > Z(at 95% confidence interval) ---- reject Null hypothesis
Z score < Z(at 95% confidence interval) ------ accept Null hypothesis
Null hypothesis H0: 50% of community college students plan to vote in the next presidential election
H0: p = 0.50
Ha: More than 50% of community college students plan to vote in the next presidential election
Ha: p > 0.50
P-value = 0.02
From the decision rule;
Since the p-value for this study is less than the significance level.
0.02 < 0.05
So, we reject the null hypothesis, there is enough evidence to reject the null hypothesis. We thereby accept the alternative hypothesis.
Therefore, we can conclude that more than 50% of community college students plan to vote in the next presidential election
solve for x. x/4-1/2(6-x)=7x+3(6-2x)-1
Answer:46
Step-by-step explanation:
x/4 - 1/2(6-x)=7x+3(6-2x)-1
x/4 - (6-x)/2=7x+18-6x-1
(x-2(6-x))/2=7x+18-6x-1
(x-12+2x)/2=7x-6x+18-1
(x+2x-12)/2=7x-6x+18-1
(3x-12)/2=x+17
Cross multiply
3x-12=2(x+17)
3x-12=2x+34
Collect like terms
3x-2x=12+34
x=46
Answer:
the answer is -80
Step-by-step explanation:
At how many points does the graph of the function below intersect the x-axis?y = 16x^2-8x+1 A.0 B.2 C.1
We need to find D.
D=(-8)²-4×16×1=64-64=0
D=0, so the graph of the function intersect the x-axis at 1 point
Answer: C
HELP PLEASE, 10 points
The diameter of the hemisphere is 16 inches. What is the total surface area of the hemisphere?
Round to the nearest whole number.
Answer:
Step-by-step explanation:
d = 16 cm
r =16/2= 8 cm
Total surface area = 3πr² cubic units
= 3 * 3.14 * 8 * 8
= 602.88
= 603 cm²
What is the fractionation of X2 - 6X + 5
Answer:
(x -1)(x -5)
Step-by-step explanation:
We recognize that 6 is the sum of the factors of 1·5, so we can write the factorization as ...
x^2 -6x +5 = (x -1)(x -5)
_____
The product of factors will be ...
(x +a)(x +b) = x^2 +(a+b)x +ab
So, the binomial constants "a" and "b" are factors of the trinomial constant that have a sum equal to the coefficient of the linear term. Here, those are factors of +5 that have a sum of -6. The factors of interest are -1 and -5: 5 = (-1)(-5); -6 = (-1) +(-5).
The manufacturer of pencils spends $0.05 to make each pencil and sells them for
0.25. The manufacturer also has fixed costs each month of $2000. Find the cost function C when x pencils are manufactured.
Answer: C(x) = 2000+ 0.05 x
Step-by-step explanation:
Hi, to answer this question we simply have to apply the next formula:
Cost (C) = fixed cost + (cost per pencil x number of pencils)
Since:
Fixed cost: $2000
Cost per pencil : $0.05
Replacing with the values given:
C(x) = 2000+ 0.05 x
Where x is the number of pencils manufactured.
Feel free to ask for more if needed or if you did not understand something.
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
x = -3 ±sqrt(27)
Step-by-step explanation:
x^2 +6x = 18
Take the coefficient of x
6
Divide by 2
6/2 =3
Square it
3^2 = 9
Add this to each side
x^2 +6x+9 = 18+9
6/2 or 3 is what is inside the (x+ )^2 on the left
(x+3) ^2 = 27
Take the square root of each side
sqrt((x+3) ^2) = ±sqrt(27)
x+3 = ±sqrt(27)
Subtract 3 from each side
x+3-3 = -3 ±sqrt(27)
x = -3 ±sqrt(27)
The stem-and-leaf plot below shows the number of pages each student in a class read the previous evening.
A stem and leaf plot showing the movie length in minutes shown. The stems from top to bottom are 0, 1, 2, 3, 4, 5. The first column of leaves is 0, 2, 2, 3, 2, 7. The second column of leaves is 0, 3, 4, 5, 4, blank. The third column of leaves is 5, 5, 6, 6, 6, blank, blank. The fourth column of leaves is 8, 8, 7, blank, blank, blank. The fifth column of leaves is blank, 8, 7, blank, blank, blank. The sixth column of leaves is blank, 9, 7, blank, blank, blank.
Which statement is true about the data set?
Its median is greater than its mode.
It has a range of 52 pages.
The value of the first quartile is 13.
The data is symmetric.
Answer:
The value of the first quartile is 13.
Step-by-step explanation:
0 0 0 5 8
1 2 3 5 8 8 9
2 2 4 6 7 7 7
3 3 5 6
4 2 4 6
5 7
Its median is greater than its mode.
median is 12th data point = 24 mode = 27 false
It has a range of 52 pages.
range is largest minus smallest = 57-0 = 57 false
The value of the first quartile is 13.
There are 11 data points 11/2 = 5.5 = 1st quartile is 6th data point = 13
The data is symmetric.
it is not symmetric
Answer:
C) The value of the first quartile is 13.
Step-by-step explanation:
What is the slope for the linear function y=3x-4
Answer:
3
Step-by-step explanation:
This is written in the form
y= mx+b
where m is the slope and b is the y intercept
3 is the slope and -4 is the y intercept
how many thousands make 5crore
Answer:
50,000 thousands make a crore.
Step-by-step explanation:
One crore (1,00,00,000) is equal to one hundred lakh (10,000 × 1,000). Thus, 10,000 thousands make a crore.
3/4 x 1/4
next problme: 3/5 x 1/5
100 pts
Answer:
0.1875 and 0.12
Step-by-step explanation:
3/4x1/4 is 0.1875. 3/5 x 1/5 is 0.12
Answer:
1)0.1875
2)0.12
Step-by-step explanation:
Two math students were asked to write an exeponential growth equations that had a starting value of 300 and a growth rate of 2%. Pierre thinks the answer is y=300(1.02)^x and Scott thinks that the answer is y=300(1.2)^x. Are either of them right and why?
Answer:
Pierre is right.
Step-by-step explanation:
A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.
Pierre is correct y = 300(1.02)^x.
Scotts answer 1.2 = a growth rate of 20%.
Mr. Hernandez combines 1 gallon of orange juice, 3 pints of pineapple juice, and 2 quarts of lemon-lime soda to make punch for a party. He allows 2 cups of punch for each guest. Will there be enough punch to serve all 14 guests? How much, if any, punch will be left
Answer:
1 . There will be enough cup of punch to serve all 14 guest
2. There will be 2 cups of punch left.
Step-by-step explanation:
Mr Hernandez combines 1 gallon of orange juice, 3 pint of pineapple juice and 2 quarts of lemon-lime soda to make punch for a party.
This combination makes up the punch. We have to convert to cups to ascertain if the punch will be enough to serve 14 guest which are entitle to 2 cups of punch. The 14 guest will consume a total of 28 cups of punch .
1 gallon of orange juice = 16 cups of orange juice
1 pint = 2 cups
3 pints of pineapple = 6 cups
1 quarts = 4 cups
2 quarts of lemon-lime soda = 8 cups
When you combine all the cups together, the total punch will be = 16 + 6 + 8 = 30 cups of punch.
The guest will consume a total of 14 × 2 = 28 cups of punch. There will be 30 - 28 = 2 cups of punch left.
Factor as the product of two binomials.
x
2
+
3
x
+
2
=
x2+3x+2=x, squared, plus, 3, x, plus, 2, equals
Answer:
(x+1)(x+2)
Step-by-step explanation:
Answer:
(x-1)(x-2)
Explanation:
To factor x^2-3x+2 as (x+a)(x+b) we need to find number a and b such that a+b=-3 ab=2
Summary of above: (−1)+(−2)=−3
So the integers we are looking for are
−1 and −2
Therefore, x^2-3x+2=(x-1)(x-2)
What is the square root of 7/9?
Answer:
(√7)/3 ≈ 0.881917
Step-by-step explanation:
[tex]\sqrt{\dfrac{7}{9}}=\dfrac{\sqrt{7}}{\sqrt{9}}\\\\=\boxed{\dfrac{\sqrt{7}}{3}\approx 0.881917}[/tex]
THIS IS MATH WORK AND IS VERY CONFUSING
I NEED HELP PLEASE
ASAP PLEASE
(Could you show work too thanks :D)
Step-by-step explanation:
1.
First blank: total amount of outcomes
2.
since there's four possible outcomes: (Head-Head, Head-Tail, Tail-Head, and Tail-Tail) Mason should expect to win 1/4 of the time, or roughly 50 times.
3.
a) F
b) F
c) T
d) T
e) T
f) T
4.
17/36, because 17 of the answers are greater than 10 and there are 36 total answers.
Sorry I didn't answer all of them, hopefully this still helps!
Goodluck with your schoolwork/homework!
--------------------------------------------------------------
Apologies in advance for any errors/bad explanations.
Determine if y = 5 is a solution for 2y = 15.
Answer:
y=5 does not equal 2y=15
Step-by-step explanation:
If you plug y into the equation we get 2(5)=15
The next step is to multiply 2*5, which equals 10
10≠15
Answer:
y=7.5
Step-by-step explanation:
??????????????????????
Answer:
The answer you put is correct.
Step-by-step explanation:
It is B.
Answer:
[tex]882\pi[/tex]
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius and h is the height of the cylinder. Therefore, the volume of this cylinder is [tex]\pi \cdot 7^2 \cdot 18=882\pi[/tex] cubic feet. Hope this helps!
Math Help!!! ASAP!! I will give you brainliest!!
Answer:
Step-by-step explanation:
true true false
