Answer:
The 90% confidence interval is [tex] -0.3433< \mu_1 - \mu_2 < 2.1433[/tex]
Step-by-step explanation:
From the question we are told that
The sample mean for men is [tex]\= x_1 = 64.5 \ years[/tex]
The sample mean for women is [tex]\= x_2 = 63.6 \ years[/tex]
The sample size for men is [tex]n_1 = 35[/tex]
The sample size for women is [tex]n_2 = 39[/tex]
The standard deviation for men is [tex]s_1 = 3.0[/tex]
The standard deviation for women is [tex]s_2 = 3.5[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645 [/tex]
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{\frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2} }[/tex]
=> [tex]SE = \sqrt{\frac{3^2 }{35} + \frac{3.5^2}{39} }[/tex]
=> [tex]SE = 0.7558[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]
=> [tex]E = 1.645 * 0.7558[/tex]
=> [tex]E = 1.2433[/tex]
Generally 90% confidence interval is mathematically represented as
[tex](\= x_1 - \= x_2) -E < \mu_1 - \mu_2 < (\= x_1 - \= x_2) -E [/tex]
=> [tex](64.5 - 63.6) -1.2433< \mu_1 - \mu_2 <(64.5 - 63.6) +1.2433[/tex]
=> [tex] -0.3433< \mu_1 - \mu_2 < 2.1433[/tex]
What is the solution to the following system of equations?
3x - 6y = -12
x - 2y = -8
(1) Use the substitution method to justify that the given system of equations has no solution.
(2) What do you know about the two lines in this system of equations?
Answer:
1.) x=2y-4
2.) x=2y-4 :)
Answer:
[tex]3x - 6y = - 12 ..........i)\\ x - 2y = - 8............ii) \\ x = 2y - 8 \\ Substituting \: the \: value \: of \: x \:in \: equation \: i) \: we \: get \\ 3(2y - 8) - 6y = - 12 \\ 6y - 24 - 6y = - 12 \\ Here \: we \: can \: see \:that\: the \: value \: of \: y \: cannot \: be \: found \\ Equation \: is \: in \: form \: a \frac{}{1} x + b \frac{}{1} y + c \frac{}{1}= 0\:and \\ a \frac{}{2} x + b \frac{}{2} y + c \frac{}{2} = 0 \\ where, \: \: \frac{a \frac{}{1} }{a \frac{}{2} } = \frac{b \frac{}{1} }{b \frac{}{2} } \\ Therefore \: lines \: are \: parallel \: to \: each \: other \\ Lines \: have \: no \: solution.[/tex]
the diagonal of a square is 3√2 then find its length
hope that this answer helps you.
Paulina has a suitcase full of clothes that weighs 4
4
7pounds. Rebecca has a suitcase full of clothes that weighs
7
8of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?
Answer:
4 pounds
Step-by-step explanation:
Paulina has a suitcase full of clothes that weighs 4 4/7pounds. Rebecca has a suitcase full of clothes that weighs
7/8 of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?
Weight of Paulina's suitcase = 4 4/7 pounds = 32/7 pounds
Weight of Rebecca's suitcase = 7/8 of Paulina's suitcase
Hence, the weight of Rebecca's suitcase in pounds = 7/8 of 32/7 pounds
= 7/8 × 32/7
= 4 pounds
Therefore, Rebecca's suitcase weighs 4 pounds.
A ferris wheel
completes one
rotation in 495
seconds. How many
seconds will it take
to make 25
rotations?
Answer:
12375
Step-by-step explanation:
one rotation: 495
25 rotations x 495 seconds
12375 seconds
Answer:
12, 375
Step-by-step explanation:
Multiply
The proportions of blood types O, A, B, and AB in the general population of a particular country are known to be in the ratio 49:38:9:4, respectively. A research team, investigating a small isolated community in the country, obtained the following frequencies (i.e. observed number of cases) of blood type.
Blood type O A B AB
Frequency 87 59 20 4
Test the hypothesis that the proportions in this community do not differ significantly from those in the general population.
Answer:
The proportions differ significantly from those in the general population.
Step-by-step explanation:
We state our null and alternative hypotheses as
H0: p1= 49/100, p2= 38/100, p3= 9/100 and p4= 4/100 for a multinomial distribution involving four categories and n= 170
against
Ha: pi≠ pi0 for at least one value of i= 1,2,3,4
The significance level is set at ∝= 0.05
The test statistic under H0 is
χ² = ∑ (Oi- ei)²/ei
which has approximate chi square distribution with 3d.f (n-1)
Computations: Under H0 the expected frequencies are
np10= Blood type O = 170 * 49/100= 83.3
np20 = Blood type A = 170 * 38/100= 64.6
np30 = Blood type B = 170 * 20/100= 11.76
np40 = Blood type AB = 170 * 4/100= 2.35
The value of χ² is computed as follows
Cell Observed Estimated (Oi-ei) (Oi-ei)² (Oi-ei)²/ei
Frequency Frequency
Oi ei
1 87 83.3 3.7 13.69 0.157
2 59 64.6 -5.6 31.36 0.531
3 20 34 -14 196 9.8
4 4 6.8 -2.8 7.84 1.96
∑ 170 188.7 χ²= 12.43
The critical region is χ²≥ χ²(0.05,3) = 7.82 for alpha = 0.05 and
χ²≥ χ²(0.01,3) = 11.34 for alpha = 0.01
As the calculated value lies in the critical region for both value of alpha we reject our null hypothesis and accept our alternate hypothesis. The proportions differ significantly from those in the general population.
which triangle could be drawn as is it described
Answer:
you didnt add the attachment
Please helppppppopppp
Answer:
a..
Step-by-step explanation:
Brian is n years old. How old will he be in 47 years?
Algebraic expression
Answer:
n + 47
Step-by-step explanation:
Let n = Brian's age now.
In 47 years, he'll be 47 years older than he is now.
In 47 years, Brian will by n + 47 years old.
Answer: n + 47
The age of Brian after 47 years will be n + 47.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Brian is n years old.
Then the age of Brian after 47 years will be given as,
⇒ n + 47
The age of Brian after 47 years will be n + 47.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Allison can work up to 35 hours per week. if she works 5 1/2 hours Monday, 6 hours on Tuesday, and 7 3/4 hours on Wednesday, how many more hours can she work during the week
Answer:
15 3/4
Step-by-step explanation:
this is simple addition and subtraction
Which of the following is not a solution of the equation y=3x-4?
A. 2,2
B. 0,-4
C. 4,8
D. -1,-1
Jennifer needs 3 cups of sugar, 4 cups of flour, and one cup of brown sugar for a recipe she is making.
What is the ratio of brown sugar to sugar?
Answer:
the ratio is 1:3 for brown sugar to sugar
find the answer for 10 + 10
Answer:20
Step-by-step explanation:
Find the product: Negative StartFraction 4 over 9 EndFraction and Negative StartFraction 3 over 8 EndFraction
Negative StartFraction 1 over 9 EndFraction
Negative one-sixth
StartFraction 7 over 17 EndFraction
Answer:
c 1/6
Step-by-step explanation:
been there done that
Answer:
c
Step-by-step explanation:
i just did the test and got it right, hope this helps ^^
Evaluate the function.
g(x)=10x+3
g(19.6)=
Answer:
199
Step-by-step explanation:
plug in x=19.6, then
g(19.6) = 10 * 19.6 +3= 199
How does the value of a in the function affect its graph when compared to the graph of the quadratic parent function?
h(x) = -0.19x2
In what ways is the graph of h(x) different from the graph of the parent function? Select all that apply.
A. The graph of h(x) opens upward.
B. The graph of h(x) opens downward.
C.The graph of h(x) is narrower.
D. The graph of h(x) is wider.
9514 1404 393
Answer:
B. The graph of h(x) opens downward.
D. The graph of h(x) is wider.
Step-by-step explanation:
The negative leading coefficient causes the graph to be reflected across the x-axis, making it open downward.
The leading coefficient magnitude less than 1 compresses the graph vertically, giving it a wider appearance.
HELP I'm running out of time
Answer:
VT, TU, UV.
Step-by-step explanation:
The smallest angle is always across from the shortest side. And the longest angle is always across from longest side.
HELP WHATS THE ANSWER
Answer:
The answer is 0, hope this helps
Please answer this question
A) the initial population is 30, which is given in the equation.
B) replace t with the number of years and solve:
5 years = 60
10 years = 120
15 years = 241
C) the population is doubling every 5 years
Isabel wants to start saving more money so that she can purchase new clothes for college. She has $200 and will add $5 to her savings every day.
Which equation models Isabel's savings, where n represents each day?
Answer:
y = 5n + 200
Step-by-step explanation:
y = mx + b
$5 will be added every day, so 5 is the m and n is the x.
$200 is an extra cost that doesn't repeat, so it's the b.
Mike reads 10 pages of a novel on night 1.
Each night after that, he reads three pages
more than the night before. At this rate,
Mike thinks he can finish reading his 219
page novel in 10 days. His brother says it
will take 22 days. Who is right? Explain.
Answer:
Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.
Step-by-step explanation:
Total number of pages of the novel = 219.
1st night, he reads 10 pages.
2nd night, he reads 13 pages.
3rd night, he reads 16 pages.
4th night he reads 19 pages.
5th night, he reads 22 pages.
6th night, he reads 25 pages.
7th night, he reads 28 pages.
8th night, he reads 31 pages.
9th night, he reads 34 pages.
10th night, he reads 37 pages.
Total number of pages read after 10 nights = 235
Thus at this rate, Mike would be able to finish reading the 219 novel in 10 days. Mike is right.
In August, the Simons' water bill was $48. In September, it was $50. Calculate the percent increase and round to the nearest percent?
41%
400%
40%
4%
Answer:foooo
Step-by-step explanation:
The gates to the zoo open at 8 a.m. and 60 people enter. The number of visitors to the zoo triples every hour until 1 p.m.
How many visitors are at the zoo at 1 p.m.? Write the answer in exponential notation.
Answer:240 visitors are at the zoo
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
We can solve this problem by creating a chart from 9am to 12pm. Each hour we must "triple," meaning "multiply by 3."
9am-10am is 6 visitors
10am-11am is 6*3=18 visitors
11am-12pm is 18*3=54 visitors
Factor the polynomial expression 16y4 − 256x12.
Step-by-step explanation:
Using Difference of Squares,
16y⁴ - 256x¹²
= 16(y⁴ - 16x¹²)
= 16(y² + 4x⁶)(y² - 4x⁶)
= 16(y² + 4x⁶)(y + 2x³)(y - 2x³).
Step-by-step explanation:
16y4-256×12=16.(y4-16×12)) Buyers are charged a shipping fee of $4.75 for each scarf order.
Which expression can you use to find the total price of a scarf order?
Answer:
huh can you put the whole question?
Step-by-step explanation:
Put all the answers
Step-by-step explanation:
what is the answer to r - 4.5 < 11
Hewo plz help can u answer
PUT A REAL ANSWER!!!!!!!!!!
5 pts.
175+8w≥425
Answer:
w≥31.25
Step-by-step explanation:
175+8w≥425
-175 -175
8w≥250
/8 /8
w≥31.25
Answer:
X is greater than or equal to 125/4
Step-by-step explanation:
Subtract 175 from both sides which will turn 425 into 250
Divide 8 from 8x to the other side to turn 250 into 125/4
In the end, you get X is greater or equal to 125/4
human activities have drastic effects on biomes match the human activities with the biomes they primarily
Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.
208 + 10x = 36x
How many purses must she sell in order to break even?
A. 5
B. 6
C. 7
D. 8
Answer:
The correct answer is: Option D: 8
Step-by-step explanation:
Given that she spent $208 on the sewing machines
And
the equation for profits to break even is:
208 + 10x = 36x
In order to find the number of purses to break even, we have to find the value of x
So,
[tex]208+10x=36x[/tex]
Subtracting 10x from both sides
[tex]208+10x-10x = 36x-10x\\208 = 26x[/tex]
Dividing both sides by 26
[tex]\frac{208}{26} = \frac{26x}{26}\\x = 8[/tex]
The number of purses is 8
Hence,
The correct answer is: Option D: 8
Answer:
D is correct.
Step-by-step explanation:
John picked 340 oranges. If he had 17 buckets to carry the oranges in, how many oranges would be in each bucket?
Answer: There would be 20 oranges in each bucket
Step-by-step explanation:
Answer:
20 oranges
Step-by-step explanation:
if john has to distribute the 340 oranges he picked amongst 17 buckets, the equation that represents his situation would be 340/17. just divide and you'll get 20, meaning there's 20 oranges in each bucket.
1
A. (f = g)(x) = 2 - 4
.
true or false
Answer:
=-2
Step-by-step explanation:
x=-(4-2)
Answer:
false
hope this helps