Answer:20
Step-by-step explanation:
The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women with the following data: Men Women Sample mean 64.5 years 63.6 years Sample size 35 39 Population standard deviation 3.0 years 3.5 years If Population 1 is defined as men and Population 2 is defined as women, the 90% confidence interval for the difference in population means is (closest to) ________. Group of answer choices
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]
Haya la integral de xarcsenx/((1-x^2)^1/2). Utiliza la sustitución de t= arcsenx
Mi duda está la final, cuando queda - tcost + sent + k, no sé cómo sustituir t= arcsent
Answer:
Explicación más abajo
Step-by-step explanation:
Integración Indefinida
La integral
[tex]I=\int \dfrac{x .arcsen\left(x\right)}{\sqrt{1-x^2}}[/tex]
Se resuelve con el cambio de variables:
t=arcsen(x)
Una vez hechos los cambios, la integral se resuelve en función de t:
[tex]I=sen(t)-t.cos(t)+C[/tex]
Hay que devolver los cambios para mostrarla en función de x.
El cambio de variables también se puede escribir:
x=sen(t)
Recordando que
[tex]cos(t)=\sqrt{1-sen^2(t)}[/tex]
Entonces:
[tex]cos(t)=\sqrt{1-x^2}[/tex]
Devolviendo los cambios:
[tex]I=sen(t)-t.cos(t)+C=x-arcsen(x)\sqrt{1-x^2}+C[/tex]
Es la respuesta correcta
Question
Tara deposits $5,000 in a certificate of deposit. The annual interest rate is 7%, and the interest will be compounded
quarterly. How much will the certificate be worth in 10 years? Round your answer to two decimal places.
Answer:
Step-by-step explanation:
The formula for this is
[tex]A(t) = P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount at the end of this whole mess, P is the initial investment, r is the interest rate as a decimal, n is the number of times the compounding is done per year, and t is the number of years. Filling in accordingly:
[tex]A(t)=5000(1+\frac{.07}{4})^{(4)(10)}[/tex] which simplifies a bit to
[tex]A(t)=5000(1+.0175)^{40[/tex] and a bit more to
[tex]A(t)=5000(1.0175)^{40}[/tex] Take care of the exponent first to get
A(t) = 5000(2.001597343) and multiply through to get
A(t) = 10,007.99
Answer:
$10048.31
Step-by-step explanation:
Which of the following is not necessarily true?
Answer:
A
Step-by-step explanation:
Jasmine saves $46 each month from her part-time job. She saves 2/5 of her earnings. Her earnings a can be found by using the equation 2/5a = 46.
Find her earnings.Required to answer. Single choice.
(10 points )
$ 230
$ 115
$ 92
$ 18.40
Answer:
$115 is the correct answer please mark me as brainliest
Plz help
f(x)=2x+1 Find f(3)
Step-by-step explanation:
f(3)=2(3)+1
6+1
7
answer is 7
Answer:
f(3)=15
Step-by-step explanation:
just put 3 instead of x
fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city
Answer:
good song
Step-by-step explanation:
yes
Answer:
fireflies by owl city
Step-by-step explanation:
fireflies by owl city
please help asap please
Answer:
abcdefghijklmnopqrstuvwxyz
Step-by-step explanation:
Identify the independent and dependent variable of the following graph. Indicate whether the graph rises, falls, or is constant.
A person's core body temperature (°F) in relation to time of day
a. Independent Variable: time of day, Dependent Variable: temperature Graph falls until morning and then steadily rises throughout the day.
b. Independent Variable: time of day, Dependent Variable: temperature Graph is constant and then rises.
c. Independent Variable: time of day, Dependent Variable: time of day Graph is constant and
then rises.
d. Independent Variable: temperature, Dependent Variable: time of day
Graph falls until morning
and then steadily rises throughout the day.
Answer:
d number is the correct answer of the question
Help plz I need to have this quick
Answer:
A and D are 87 degrees
C is 28 degrees
and B is 65 degrees
Step-by-step explanation:
28 degrees and c are congruent
a and d are congruent
65 degrees and b are cungruent
B(65)+28+D= 180
65+28= 93
93+D=180
D=87
A=D(87)
Draw a line representing the “rise” and a line representing the “run” of the line. State the slope of the line in the simplest form. PLZZ HELPP
What are the operations of fractions by multiplications?
how does the decimal point move when 0.45 is mutiplyed by ten 4ths
Answer:
since .45 times 1 = .45 plus __ zeros bascially move the decimal ____ times (the amount of zeros)
Step-by-step explanation:
weebs rule
Since .45 times 1 = .45 plus 2 zeros basically move the decimal 4 times
PLS ITS A TEST ILL GIVE BRAINLIEST the equation is y = -3x + 2
y=x-6
Rise= ?
Run= ?
Slope= ?
Answer:
Rise = 0
Run = 4
Slope = 0
Step-by-step explanation:
Slope of straight line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
Since, given line is passing through two points (-2, -3) and (2, -3),
Rise of the line = -3 - (-3) = 0
Run of the given line = 2 - (-2) = 4
By substituting these values of rise and run in the formula,
Slope = [tex]\frac{0}{4}[/tex]
= 0
Therefore, Rise = 0
Run = 4
Slope = 0
Note: Slope of a line parallel to the x-axis is zero.
Slope of a line parallel to y-axis is not defined.
If I currently have a 77% in my course, and I have final that's worth 30%, how would a score of exactly 0% or 100% on the final affect my current grade in the course?
Answer:
If you score a 0% on your exam, you get 53.9% as your overall gradeIf you score 100% on your exam, you get 83.9% as your overall grade====================================================
Explanation:
Your final is worth 30% of your grade, so the other 70% is what you've already done so far
The expression below
0.30x + 0.70*0.77
represents what your final grade would be in decimal form. We multiply the weights 0.30 and 0.70 with each of their corresponding grade value.
The x represents the decimal form of the final exam score.
------------
Let's say you get a 0% on the final. That would mean x = 0 and
0.30x + 0.70*0.77
0.30*0 + 0.70*0.77
0.539
So you'd end up with a 53.9% as the overall grade.
------------
Now let's say you get 100% on the final. We plug in x = 1 since it's the decimal form of 100%
So,
0.30x + 0.70*0.77
0.30*1 + 0.70*0.77
0.839
You would end up with a 83.9% as the overall grade.
Which equation represents the line that is parallel to y=3 and passes through (-2,-8)?
А.x=-2
B. x=3
C. y=-8
D. y= 3x - 2
Step-by-step explanation:
y = 3 is a horizontal line. A line that is parallel would also have the general equation y = c.
Since it passes through (-2, -8) with y-coordinate -8, the line equation is y = -8. (C)
(14)/(5)=(x)/(25) please help
Step-by-step explanation:
(14)/(5)=(x)/(25)
We move all terms to the left:
(14)/(5)-((x)/(25))=0
We add all the numbers together, and all the variables
-(+x/25)+14/5=0
We get rid of parentheses
-x/25+14/5=0
We calculate fractions
There is no solution for this equation
2 3/5 is what percent of 20..................
Answer:
Hello There!!
Step-by-step explanation:
The answer is 13% as you convert 2 3/5 to an improper fraction which is 13/5. Convert this into a decimal which is 2.6 . 2.6 ÷20=0.13 ×100 (to get it as a fraction) which equals 13%.
hope this helps,have a great day!!
~Pinky~
2 3/5 is equal to 13% of 20 by express the mixed number as an improper fraction and converting it into percentage.
To convert 2 3/5 to a percentage of 20,
first need to express the mixed number as an improper fraction. The improper fraction is found by multiplying the whole number (2) by the denominator of the fraction (5) and then adding the numerator (3) to get 13/5.Next, convert the improper fraction 13/5 to a decimal by dividing the numerator (13) by the denominator (5).
This gives us 2.6.
Express the decimal as a percentage, multiply by 100.
2.6 x 100 = 260%
This results in 260%. However, since 260% is larger than 100%,
Find the percentage of 260% by 20.
260%÷20
On dividing by 10 gives:
=26/2
On dividing by 2gives:
=13%
In conclusion, 2 3/5 is equal to 13% of 20.
Learn more about percentage here:
https://brainly.com/question/1578304
#SPJ6
help please, I need help
Answer:
1. <
2. <
3. >
Step-by-step explanation:
-8 is smaller than 8
the absolute value of -4 is 4, but there is another minus, so it becomes -4. -4 is smaller than -2
-7 is bigger than -9
Answer:
Step-by-step explanation:
-8 < |8|
-|-4| < -2
-7 > -9
absolute value has the || sign around the number. If you see that, and there's a "minus" sign, then reverse it to a PLUS sign. Because absolute value is just how far away the number is to 0. So -8 is "8" to 0.
now if we have for example, -|-4| then it'd be -4 because |-4| is 4, but then -4 again cause there's a minus sign.
In the lab, Karen has two solutions that contain alcohol and is mixing them with each other. She uses 3 times as much Solution A as Solution B. Solution A is 10% alcohol and Solution B is 15% alcohol. How many milliliters of Solution B does she use, if the resulting mixture has 180 milliliters of pure alcohol?
Answer:
She uses 162 millitiers if Solution B.
Step-by-step explanation:
180 - 10% = 162
Solution A = 18 milliliters
Soultion B = 162 millitiers
Let X and Y equal the concentration in parts per billion of chromium in the blood for healthy persons and for persons with a suspected disease, respectively. Assume that the distributions of X and Y are normal. A sample of 8 observations for X have a sample mean of 15.75 and a sample variance of 46.21. A sample of 10 observations of Y have a sample mean of 23.3 and a sample variance of 92.68. Find a 90% confidence interval for the ratio of variances,
Answer:
The value is [tex]0.152 \le \frac{\sigma_1^2}{\sigma_2^2} \le 1.835[/tex]
Step-by-step explanation:
From the question we are told that
The number of observation for X is [tex]n_1 = 8[/tex]
The sample mean for X is [tex]\= x _1 = 15.7 5[/tex]
The sample variance for X is [tex]s^2_1 = 46.21[/tex]
The number of observation for Y is [tex]n_1 = 10[/tex]
The sample mean for Y is [tex]\= x _1 = 23.3[/tex]
The sample variance for Y is [tex]s^2_1 = 92.8[/tex]
Generally the degree of freedom for X is
[tex]df_1 = n_1 - 1[/tex]
=> [tex]df_1 = 8 - 1[/tex]
=> [tex]df_1 = 7[/tex]
Generally the degree of freedom for X is
[tex]df_2 = n_2 - 1[/tex]
=> [tex]df_2 = 10 - 1[/tex]
=> [tex]df_2 = 9[/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]
=> [tex]\frac{\alpha}{2} = \frac{0.10}{2}[/tex]
=> [tex]\frac{\alpha}{2} = 0.05 }[/tex]
Generally the 90% confidence interval for the ratio of variances is mathematically represented as
[tex]\frac{s_1^2}{s_2^2 } * \frac{1}{F_{ 1 - \frac{\alpha }{2} , df_1 , df_2 }} \le \frac{\sigma_1^2}{\sigma_2^2} \le \frac{s_1^2}{s_2^2 } * \frac{1}{F_{ \frac{\alpha }{2} , df_1 , df_2 }}[/tex]
=> [tex]\frac{46.21}{92.68 } * \frac{1}{F_{ 1 - 0.05 , 7 , 9 }} \le \frac{\sigma_1^2}{\sigma_2^2} \le \frac{46.21}{92.68 } * \frac{1}{F_{ 0.05 , 7 , 9 }}[/tex]
=> [tex]\frac{46.21}{92.68 } * 0.304 \le \frac{\sigma_1^2}{\sigma_2^2} \le \frac{46.21}{92.68 } * 3.677[/tex]
=> [tex]0.152 \le \frac{\sigma_1^2}{\sigma_2^2} \le 1.835[/tex]
Alec types
3
5
of a paragraph in
2
3
minute. If he continues at the same rate, what fraction of a paragraph can Alec complete in 1 minute?
Answer:
9/10 of a paragraph in a minute
Step-by-step explanation:
find out how much he can type in 1/3 of a minute
(3/5)/2 3/5=6/10 (6/10)/2 3/10
(3/10)*3=9/10
Answer:
9/10
Step-by-step explanation:
hope it worked
Five years ago, Max was twice as old as Bert. A year from now, the sum of their ages would be 30. How old are they now? Show your solution.
Answer:
Bert is 11 years old and Max is 17 years old.
Step-by-step explanation:
System of Equations
To solve the system of equations, we use two variables x and y. Let's make:
x = current age of Max
y = current age of Bert
x - 5 = age of Max five years ago
y - 5 = age of Bert five years ago
x + 1 = age of Max one year from now
y + 1 = age of Bert one year from now
According to the conditions of the problem, five years ago, Max was twice as old as Bert, thus:
x - 5 = 2(y - 5) [1]
It's also known a year from now, the sum of their ages would be 30:
x + 1 + y + 1 = 30 [2]
Operating and simplifying [1]:
x - 5 = 2y - 10
x = 2y - 5 [3]
Operating and simplifying [2]:
x + y + 2 = 30
x + y = 28 [4]
Substituting [3] in [4]:
(2y - 5) + y = 28
Simplifying:
3y - 5 = 28
3y = 33
y = 33/3 = 11
y = 11
From [3]:
x = 2*11 - 5
x = 22 - 5 = 17
x = 17
Max is 17 years old and Bert is 11 years old
how does the converse of the Pythagoren Therom look
Answer:
The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. That is, in ΔABC, if c2=a2+b2 then ∠C is a right triangle, ΔPQR being the right angle.
The sales tax for a certain state is 7%. Which of the following situations apply the correct amount of sales tax for the given amount?
a
A $50.00 purchase totals $53.50 with tax.
b
A $700.00 purchase totals $800.00 with tax
c
A $28.00 purchase totals $32.00 with tax.
An $84.00 purchase totals $89.88 with tax.
A $220.00 purchase totals $214.00 with tax.
Answer:
I think its c but I'm not sure. You need to ask a professional.
Step-by-step explanation:
What is the effect on the graph of f(x) = x2 when it is transformed to h(x) = 2 x2 + 15?
Answer:
B
Step-by-step explanation:
The effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.
How does the transformation of a function happen?The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.
If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:
Horizontal shift (also called phase shift):
Left shift by c units, y=f(x+c) (same output, but c units earlier)
Right shift by c units, y=f(x-c)(same output, but c units late)
Vertical shift
Up by d units: y = f(x) + d
Down by d units: y = f(x) - d
Stretching:
Vertical stretch by a factor k: y = k × f(x)
Horizontal stretch by a factor k: y = f(x/k)
Given two functions, f(x) and h(x). Also, the function f(x) = x² is transformed to form h(x) = 2x² + 15. Therefore, we can write the transformation as,
f(x) vertically streched by a factor of2 first, Therefore,
g(x) = 2f(x)
= 2x²
Now, the function g(x) is moved up by 15 units, therefore,
h(x) = g(x) + 15
= 2x² + 15
Hence, the effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.
Learn more about Transforming functions:
https://brainly.com/question/17006186
#SPJ5
Sad Ariana Grande Fact:
In her song Thank u, next, it goes: "Even almost got married, and for Pete I'm so thankful."
But before they split, it was going to be: “I’m about to get married, for Pete I’m so thankful."
Oh thats so sad :((((
HELPPP I NEED AN ANSWER ASAP
Answer:
2, 4, and 6 (b, d, f)
Step-by-step explanation:
dont really know how to explain
66% of 62 is...? **SHOW YOUR WORK** PLEASE HELP!! :'(
Step-by-step explanation:
divide 62 by 100 and then multiply that number by 66. I don't have a calculator on me rn sorry
Answer:
Fraction:
[tex]\frac{1023}{25}[/tex]
Decimal:
40.92
Mixed Number:
[tex]40\frac{23}{25}[/tex]
Step-by-step explanation:
66% is the same this as [tex]\frac{66}{100}[/tex]. You can simplify [tex]\frac{66}{100}[/tex] to [tex]\frac{33}{50}[/tex]. Then, find [tex]\frac{33}{50}[/tex] of 62, which is the same thing as [tex]\frac{33}{50}[/tex] x 62. You’ll get either of the three options, a fraction, decimal, or a mixed number, but all three are the same thing (you get to choose which one).
Hope this helps! :)