Answer:
$4825.80
Step-by-step explanation:
Childhood participation in sports, cultural groups, and youth groups appears to be related to improved self-esteem for adolescents (McGee, Williams, Howden-Chapman, Martin, & Kawachi, 2006). In a representative study, a sample of n = 100 adolescents with a history of group participation is given a standardized self-esteem questionnaire. For the general population of adolescents, scores on this questionnaire form a normal distribution with a mean of μ = 50 and a standard deviation of σ = 15. The sample of group-participation adolescents had an average of M = 53. 8.
Does this sample provide enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population? Use a two-tailed test with α =. 5.
The null hypothesis is H₀: , even group participation.
The standard error is , so z =
(to two decimal places). Using the Distributions tool, the critical value of z =
Using the z-distribution, as we have the standard deviation for the population, it is found that the sample provides enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population.
What are the hypothesis tested?At the null hypothesis, we test if the score for group-participation adolescents is the same as the general population, that is:
[tex]H_0: \mu = 50[/tex]
At the alternative hypothesis, we test if the score is different, that is:
[tex]H_1: \mu \neq 50[/tex]
What is the test statistic?The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.[tex]\sigma[/tex] is the standard deviation of the population.n is the sample size.In this problem, we have that:
[tex]\overline{x} = 53.8, \mu = 50, \sigma = 15, n = 100[/tex].
Hence:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{53.8 - 50}{\frac{15}{\sqrt{100}}}[/tex]
[tex]z = 2.53[/tex]
What is the decision?Considering a two-tailed test, as we are testing if the mean is different of a value, with a significance level of 0.05, the critical value is [tex]|z^{\ast}| = 1.96[/tex]
Since the absolute value of the test statistic is greater than the critical value for the two-tailed test, it is found that the sample provides enough evidence to conclude that self-esteem scores for these adolescents are significantly different from those of the general population.
More can be learned about the z-distribution at https://brainly.com/question/26454209
if 2(x+10)=4x, what is x?
Answer:
x = 10
Step-by-step explanation:
First distribute the 2 into the parentheses
2x+20 = 4x
20 = 2x
x = 10
You start at (6, 3). You move down 2 units. Where do you end?
Answer:
(6,1)
Step-by-step explanation:
Moving down is associated with y coordinate.
i need some help with this please
Answer:
756cm
Step-by-step explanation:
[tex]12 \times 7 \times 9 = 756[/tex]
Because length times height times width
Is the best way to solve Parallelogram
=
19. Which point on the plane
5x – 2y - 3z = 60 is closest
to the origin?
A x-intercept
B y-intercept
C z-intercept
D The origin is on the plane
Tuto
Find the y-intercept of the line 19x - 13y = 26.
Write your answer as an integer or as a simplified proper or improper fraction, not as an
ordered pair.
Answer:
y - intercept = - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
19x - 13y = 26 ( subtract 19x from both sides )
- 13y = - 19x + 26 ( divide terms by - 13 )
y = [tex]\frac{19}{13}[/tex] x - 2 ← in slope- intercept form
with y- intercept c = - 2
The y-intercept of the line equation 19x - 13y = 26 is 2.
Given that, the y-intercept of the line 19x - 13y = 26.
What is a y-intercept?In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.
The given equation can be written in standard form as
13y=19x-26
⇒ y=19/13 x-26/13
⇒ y=19/13 x-2
So, y-intercept =2
Therefore, the y-intercept of the line equation 19x - 13y = 26 is 2.
To learn more about the y-intercept visit:
https://brainly.com/question/14180189.
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What is the actual length of the Impressionism art room
Please help me
Answer:
35 I think I hope it is correct
What is the reciprocal of 3?
What is the reciprocal of 2/3?
Step-by-step explanation:
To find the reciprocal of any number, we have to divide 1 by the given number.The reciprocal of 3=
[tex] \frac{1}{3} [/tex]
The reciprocal of ⅔ =
[tex] \frac{1}{ \frac{2}{3} } \\ 1 \div \frac{2}{3} \\ 1 \times \frac{3}{2} \\ \frac{3}{2} [/tex]
[tex]\mathbb{FINAL\:ANSWER:}[/tex]
[tex]\huge\boxed{\sf{reciprocal\:of\:3=\frac{1}{3} ; \:reciprocal\:of\: \frac{2}{3} =}\frac{3}{2} }[/tex]
[tex]\mathbb{SOLUTION\:WITH\:STEPS:}[/tex]
Hi! Hope you are having a nice day!
In order to find the reciprocal of a number, all we should do is flop the number over.
Sounds easy, right? Let's find the reciprocal of 3.
What is 3 flopped over? That's right, [tex]\displaystyle\frac{1}{3}[/tex].
We found the reciprocal of 3. :)
Now it's time to find the reciprocal of [tex]\displaystyle\frac{2}{3}[/tex].
Let's flop it over:
[tex]\displaystyle\frac{3}{2}[/tex]
Hope you could understand everything.
#CarryOnLearning
30 + 30 × 20 + 20 ÷ 20 answers it if you want
Answer:
631
thx for points
helppppppppppppppppppppp
Answer:
.............................
Let x, y, and z represent three rational numbers, such that y is 5/12 times x and z is 50.25 more than x. If y=15.5, what is the value of z?
From the system of linear equations was verified that the value for z is equal to 87.45.
System of Linear EquationsSystem of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
Rational NumbersThese numbers are represented by a ratio between two integers numbers ([tex]\frac{a}{b}[/tex]), where b[tex]\neq[/tex]0. Besides, this ratio can be simplified in decimal form.
For solving this equation, firstly, rewrite the information given:
[tex]y=\frac{5}{12} x \;(1)\\ \\ z=50.25+x \;(2)\\ \\ y=15.5 \;(3)[/tex]
As the question gives the values for y, you can find x.
[tex]y=\frac{5}{12} x\\ \\ 15.5=\frac{5}{12} x\\ \\ 5x=12*15.5 \\ \\ x=\frac{186}{5}=37.2[/tex]
Applying x=37.2 in equation (3), you can find z.
[tex]z=50.25+x \\ \\ z=50.25+37.2\\ \\ z=87.45[/tex]
Learn more about the system of equations here:
https://brainly.com/question/384631
C is directly proportional to the square root of y.
When C = 12.8, y = 16.
(a) Express C in terms of y.
(b) Find C when y = 400
Answer:
Explained and Given Below.Explanation:
C ∝ √y
C = k√y
If C = 12.8, y = 16
12.8 = k√16
12.8 = k(4)
k = 3.2
So the expression:
C = 3.2√y
solve for C when y = 400
C = 3.2(√400)
C = 3.2(20)
C = 64
The expression for C in terms of y where C is directly proportional to the square root of y is C=3.2√y and the value of C at y=400 is 64.
What is directly proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
[tex]p = kq[/tex]
where k is some constant number called constant of proportionality.
This directly proportional relationship between p and q is written as
[tex]p \propto q[/tex] where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
C is directly proportional to the square root of y. Thus, the relation can be represented with the proportionality sign as,
[tex]C\propto \sqrt{y}[/tex]
Let k is the proportionality constant. Thus, the equation can be rewritten as,
[tex]C=k \sqrt{y}[/tex]
Here, the value of C is 12.8 and the value of y is 16. Put these values in the above equation as,
[tex]12.8=k \times\sqrt{16}\\12.8=k \times4\\k=\dfrac{12.8}{4}\\k=3.2[/tex]
Thus, the value of constant is 3.2.
(a) Express C in terms of y.The value of constant is 3.2. Thus, the expression for C in terms of y is given as,
[tex]C=3.2\sqrt{y}[/tex]
(b) Find C when y = 400Put the value of y =400 in the above expression.
[tex]C=3.2\sqrt{400}\\C=3.2\times20\\C=64[/tex]
Thus, the expression for C in terms of y where C is directly proportional to the square root of y is C=3.2√y and the value of C at y=400 is 64.
Learn more about directly proportional relationship here:
https://brainly.com/question/13082482
Which of the following pair of triangles demonstrates that two triangles with three congruent angles are not necessarily congruent?
Answer:
a
Step-by-step explanation:
if the two vertex angles are the same then the other two angles of both triangles have to be the identical since all three have to add to 180 then since the two base angles are the same the sides opposite them are congruent and the two triangles are similar by SAS(side angle side)
Maria bought g gallons of gasoline for $4.75 per gallon and c cans of oil for $5.15 per can.
a. What expression can be used to determine the total amount Maria spent on gasoline and oil?
b. If she bought 7.8 gallons of gasoline and 9 cans of oil, how much did she spend in all?
Answer:
a) 4.75g + 5.15c
b) $83.40
Step-by-step explanation:
Gasoline = $4.75 per gallon
Oil = $5.15 per can
Let g = number of gallons
Let c = number of cans
a) Total spend = 4.75g + 5.15c
b) Given:
g = 7.8c = 9⇒ total spend = 4.75(7.8) + 5.15(9)
= 37.05 + 46.35
= $83.40
factor the following expression
x^4 - 11x^2 + 10
ty
Answer:
( x - 1 ) × ( x + 1 ) × ( x^2 - 10)
Step-by-step explanation:
x^4 - 11x^2 + 10
x^4 - x^2 - 10x^2 + 10
x^2 × ( x^2 - 1 ) - 10( x^2 - 1 )
( x^2 - 1 ) × ( x^2 - 10 )
( x - 1 ) × ( x + 1 ) × ( x^2 - 10)
Martin spun the arrow on a spinner 200 times. His results are shown in the table.
SPINNER RESULTS
:Result :Number of Times
A 53
B 48
С 26
D 73
Which spinner did Martin MOST LIKELY use?
Please help me my parents will murder me if I fail
Step-by-step explanation:
D it's the biggest target on the chart
can anyone care to help me with these questions
Answer:
A : 45
B : 22.5
second page is 4.5
third page is is 25.5
fourth page is 62.5
Answer:
25% of £90 = £22.50
25% of £18 = £4.50
85% of 30 = £25.50
15% of £24 = £3.60
Step-by-step explanation:
For some of the answers, I can see you've got the digits correct, but it is important that you add the 0 for the .5 since it is in money terms. e.g. not 4.5, but £4.50.
With percentages, it is useful to break them down into easier percentages to solve. For example, instead of thinking of 15%, think of 10% + 5%. Finding 10% of a number is easy - divide it by 10. So 10% of 24 would be 2.4. And 5% of 24 is just 10% divided by 2, because 10 divided by 2 is 5. So 5% of 24 is 2.4 divided by 2, so 5% of 24 = 1.2
10% + 5% = 15% = 2.4 + 1.2 = 3.6
And because it is in money terms, we need to add the 0, to make it:
£3.60.
If you need further explanation, please let me know! And if you found this most useful, a brainliest would be appreciated :)
- profparis
Find the cost of painting a cubical block of side length 3.2 cm, if painting costs $5 per cm2.
[tex]\longrightarrow \sf \$ \: 307.2[/tex]
Solution:-Since painting is done on outer surface of cubical block we will have to find its surface area which is given by-
[tex]\green{ \underline { \boxed{ \sf{Surface \: area \:of \:Cube = 6a^2}}}}[/tex]
where a is side of the cube[tex]\begin{gathered}\\\quad \sf Surface \: area \:of \:Cube = 6\times(3.2)^2 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies \quad \sf 6\times 3.2\times3.2 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies \quad \sf 61.44 cm^2 \\\end{gathered} [/tex]
Now,
[tex]\maltese \sf Cost \:of \:painting \: 1 \: cm² = \$ 5[/tex]
[tex] \sf Cost \: of \: painting \: 61.44 \:cm²=61.44×5[/tex]
[tex]\sf\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad\quad=\$ 307.2[/tex]
[tex]\leadsto[/tex]Thus it would cost $ 307.2 to paint the entire cubical block.
Brian pays £475.29 a year on his car insurance.
The insurance company reduces the price by 2.1%.
How much does the insurance cost now?
Give your answer rounded to 2 DP.
Answer:
465.31
Step-by-step explanation:
475.29 - Percentage decrease =
475.29 - (2.1% × 475.29) =
475.29 - 2.1% × 475.29 =
(1 - 2.1%) × 475.29 =
(100% - 2.1%) × 475.29 =
97.9% × 475.29 =
97.9 ÷ 100 × 475.29 =
97.9 × 475.29 ÷ 100 =
46,530.891 ÷ 100 =
465.30891 ≈
465.31
A computer and printer cost a total of $1089. The cost of the computer is two times the cost of the printer. Find the cost of each item.
Answer:
computer = $726
printer = $363
60°
60
x= [ ? jº
Help please it’s for a final on acellus!!
Answer:
30
x+x+60+60=180( sum of angles in a triangle)
2x=60
x=30
Answer number 7 please (if it’s to blurry zoom in)
Answer:
D
the scatter diagram shows a slightly decreasing trend
You are wrapping a birthday gift that is packaged in a specially made pyramid-shaped box. The base of the box measures 10 inches by 10 inches and the slant height is 6 inches. How much paper do you need to wrap the box?
Answer:
2 1/4
Step-by-step explanation:
The amount of paper needed to wrap the considered box which has dimension of 10 by 10 by 6 inches is 440 sq. inches
What is the surface area of cuboid?Let the three dimensions(height, length, width) be x, y,z units respectively.
The surface area of the cuboid is given by
[tex]S = 2(a\times b + b\times c + c\times a)[/tex]
A box is usually in shape of a cuboid.
For this case, its dimensions are 10 inches, 10 inches, and 6 inches.
The amount of wrapper we need is approx same as the area of its surface (assuming we're going to measure the paper needed in terms of its area).
Thus, we get:
Amount of the paper we need to wrap the considered box = surface area of that box = surface area of cuboid of dimension 10 inch by 10 inch by 6 inches = S (say), then:
[tex]S = 2(10\times 10+ 10\times 6 + 6\times 10)\\S = 440[/tex](in sq. inches)
Thus, the amount of paper needed to wrap the considered box which has dimension of 10 by 10 by 6 inches is 440 sq. inches
Learn more about surface area of cuboid here:
https://brainly.com/question/13522634
Hawa just got hired for a new job and will make $36,000 in her first year. Hawa was
told that she can expect to get raises of $2,000 every year going forward. How much
money in salary would Hawa make in her 11th year working at this job?
Answer:
$58,000
Step-by-step explanation:
because i multiplied 2000 with 11 and got 22,000 and then i added that to the 36,000 and got 58,000 hope this helps
The sum of two numbers is -18. If the first number is 10, which equation represents this sittuation, and what is the second number
Answer:
-28
Step-by-step explanation:
Since the first number is 10 and they say and the equation said two numbers sum - 18 therefore 10 + x equals to -18
=> 10 + x = -18
now to find the second number collect like terms make x the subject of formula
=> x = -18 -10
substract -18 from -10
x = -28
-28 is your final answer
good luck with your assignment and enjoy
a painter takes 13 hours to paint 3 rooms. how long will it take the painter to paint 9 rooms
9 rooms / 3 rooms = 3
It will take him 3 times as long.
13 hours x 3 = 39 hours
answer: 39 hours
Answer:
39 hours
Step-by-step explanation:
13h = 3 rooms
3 x 3 = 9
13 x 3 = 3 x 3
39h = 9 rooms
show work please.
P(t)=25(1.15)t
Karen created a sample of 20 students from a population of 100 in the following way. First, she gave each student a unique number from 1 to 100. She then obtained a list of 20 randomly generated numbers between 1 and 100. She used these numbers to identify which students to select. Here is the list of random numbers:
20 points! Please help! Which three students is part of her sample?
A. students 1, 10, and 20
B. students 12, 60, and 74
C. students 81, 89, and 90
D. students 3, 10, and 21
Answer:
B. students 12, 60, and 74
Explanation:
All three numbers are in the random sample set given.
Answer:
Sry Im late but I hope I can help every one else
Step-by-step explanation:
THE ANSWER IS B
Find the quotient. Write the answer in the simplest form (reduce).
38) 1/2 ÷ 5 =
39) 1 3/5 ÷ 3/5 =
40) 2 1/8 ÷ 1 /4 =
41) 2/3 ÷ 2 1/3 =
42) 5/6 ÷ 1 1 /4 =
[tex][Hello,BrainlyUser][/tex]
Answer/Step-by-step explanation:
38) 1/2 ÷ 5 = 1/10
39) 1 3/5 ÷ 3/5 = 2 2/3
40) 2 1/8 ÷ 1 /4 =8 1/2
41) 2/3 ÷ 2 1/3 =2/7
42) 5/6 ÷ 1 1 /4 = 2/3
[CloudBreeze]
Answer:
[38] 1/10
[39] 2 2/3
[40] 8 1/2
[41] 2/7
[42] 2/3
Step-by-step explanation:
Dividing Fractions Formula:
[tex]\frac{a}{b}[/tex] ÷ [tex]\frac{c}{d}=\frac{a * b}{b*c}[/tex]
=================================================================
[38] [tex]\frac{1*1}{2*5}=\frac{1}{10}[/tex]
----------------------------------------------------------------------------------------------------------
[39] [tex]\frac{8*5}{5*3}=\frac{40}{15}=2\frac{2}{3}[/tex]
----------------------------------------------------------------------------------------------------------
[40] [tex]\frac{17*4}{8*1}=\frac{68}{8}=8\frac{1}{2}[/tex]
----------------------------------------------------------------------------------------------------------
[41] [tex]\frac{2*3}{3*7}=\frac{6}{21}=\frac{2}{7}[/tex]
----------------------------------------------------------------------------------------------------------
[42] [tex]\frac{5*4}{6*5}=\frac{20}{3}=\frac{2}{3}[/tex]
----------------------------------------------------------------------------------------------------------
[RevyBreeze]
simplify the following. Please help asap....
48k^5/3k^7
12c^7d^4?15c^10d^3
(-xy)^4 x (-3x^-2)^3
20 Points!!!!!!!!!!!!!!!!!!!!!!!
Answer:
In order:
[tex]\frac{16}{k^2}[/tex]
[tex]180c^{17}d^7[/tex]
[tex]-\frac{27y^4}{x^2}[/tex]
Step-by-step explanation:
[tex]48k^5/3k^7\\\\\frac{48k^5}{3k^7} \\\\\frac{16}{k^{7-5}} \\\\\frac{16}{k^2}[/tex]
[tex]12c^7d^4*15c^{10}d^3\\\\12*15c^{7+10}d^{4+3}\\\\180c^{17}d^7[/tex]
[tex](-xy)^4 *(-3x^{-2})^3\\\\x^4y^4*(-3x^{-2})^3\\\\x^4y^4*-27x^{-6}\\\\-27x^{-6+4}y^4\\\\-27x^{-2}y^4\\\\-27*\frac{1}{x^2} *y^4\\\\-\frac{27y^4}{x^2}[/tex]
Hope this helps!