Answer:
The p-value of the test is 0.049.
Step-by-step explanation:
The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.
In this case a paired t-test is used to determine whether the experimental toothbrush was effective or not.
The hypothesis for the test can be defined as follows:
H₀: The experimental toothbrush was not effective, i.e. d = 0.
Hₐ: The experimental toothbrush was effective, i.e. d < 0.
The information provided is:
[tex]\bar d=5.5\\S_{d}=11.6\\n=14[/tex]
Compute the test statistic value as follows:
[tex]t=\frac{\bar d}{S_{d}/\sqrt{n}}[/tex]
[tex]=\frac{5.5}{11.6/\sqrt{14}}\\\\=1.7740617\\\\\approx 1.774[/tex]
The test statistic value is 1.774.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
Compute the p-value of the test as follows:
[tex]p-value=P(t_{n-1}<1.774)[/tex]
[tex]=P(t_{13}<1.774)\\=0.049[/tex]
*Use a t-table.
The p-value of the test is 0.049.
p-value= 0.049 > α = 0.05
The null hypothesis will be rejected.
Thus, it can be concluded that experimental toothbrush was effective.
Any one can help with this Venn Diagram question?.Please note that there is an another language, ignore except if you can understand it.
Answer:
(i) 30
(ii) 8
Step-by-step explanation:
Start by drawing 3 rings for the Venn diagram. Each ring represents either Audi, BMW, or Citroën.
Next, add the information provided in the problem statement. We know that 20 choose BMW only. Another 20 choose Citroën only.
We know the number who choose all 3 is the same as the number that choose BMW and Citroën, but not Audi. We'll call this number x.
Similarly, we know that the number who choose all 3 is half of those choose Audi and BMW, but not Citroën. So we'll say that number is 2x.
We know the total number of Audi votes is 48, the total number of BMW votes is 36, and the total number of Citroën votes is 34.
Finally, we know the total number of voters is 100, including those who voted for no favorites (we'll call that number n).
We know that BMW got 36 votes, so:
20 + x + x + 2x = 36
20 + 4x = 36
4x = 16
x = 4
We know that Citroën got 34 votes, so:
20 + x + x + z = 34
20 + 4 + 4 + z = 34
28 + z = 34
z = 6
We know that Audi got 48 votes:
y + 2x + x + z = 48
y + 2(4) + 4 + 6 = 48
y + 18 = 48
y = 30
Finally, we know that the total number of voters is 100.
20 + 20 + x + x + 2x + y + z + n = 100
20 + 20 + 4 + 4 + 2(4) + 30 + 6 + n = 100
92 + n = 100
n = 8
Use the distributive property to remove the parentheses.
-2(5u - 3x-6)
Answer:
I think it would be: -10u - 6x 12
Step-by-step explanation:
(step 1) -2(5u - 3x-6) "First you need to times -2 by 5, 3 and -6"
that should give you -10u - 6x 12
A corporate team-building event costs $32, plus an additional $1 per attendee. If there are 66 attendees, how much will the corporate team-building event cost?
Answer:
corporate team-building event cost will cost $98
Step-by-step explanation:
A corporate team-building event costs $32, plus an additional $1 per attendee.
Let cost be C
The expression for the above statement
C($)= 32+n(1)
Where n is the number of attendees
So a situation where there are 66 attendees, the total cost will be
C($) = 32 +66(1)
C($) = 32+66
C($)= 98
In a certain year, exactly 1,481 fewer women than men applied to U.S. medical schools. If 29,250 men applied, what was the total number of
people who applied to U.S. medical schools in this year?
Your bedroom wall is 138 inches inches inches wide. You want to hang two posters, each 36 inches inches across, with an equal space between each poster and the wall edges. How many inches of space should you leave between the wall edge and each poster?
Answer:
Space in inches= 22 inches
Step-by-step explanation:
bedroom wall is 138 inches inches inches wide.
want to hang two posters, each 36 inches inches across, with an equal space between each poster and the wall edges
Total space remaining= 138-(36*2)
Total space remaining=138-72
Total space remaining= 66
To hang the posters to have equal spacing from the egde and between each other, let's bear in mind that we have 3 partions..
Space in inches= 66/3
Space in inches= 22 inches
Solve by graphing. Round each answer to the nearest tenth. 6x2 + 31x = 12
Answer:
-5.5 and 0.4 (first option in your list)
Step-by-step explanation:
Please see attached image where we have graphed the expression [tex]y=6x^2+31x\\[/tex] and the expression [tex]y=12[/tex] and looked for the two points of intersection of the parabola (representing the first expression) with the horizontal line (second expression)
From the graphing we extract that one solution for "x" is approximately -5.5, and the other one around 0.36, which can be rounded to one decimal to: 0.4. then the closest solution is that one shown as the first option in your list.
James ate 4/5 of his banana and Eric ate 7/9 of his banana. Who ate more of their banana?
actually it will be easier for you to know it if you convert it into decimal.
So
James = 4/5 = 0.8
Eric = 7/9 = 0.78
So James ate more
Answer:
James ate more of his banana
Step-by-step explanation: You would convert the fractions into the same denominator. And then you can compare.
36/45 35/45
Last year Frankie deli made an 11 foot 6 inch submarine this year they plan to make another one 2 feet and 3 inches longer how many feet long will this sandwich be?
Answer:
13 feet 9 inches
Step-by-step explanation:
11ft+2ft=13
6in+3in=9in
What is the difference between -3 and -12? -15 15 -9 9
Answer:
positive 9 hope this helped and a brainliest would be appreciated
Step-by-step explanation:
suppose point p(4,-9) is translated accoring to the rule (x,y). (X+3,Y-2) what are the coordinates of p? explain
Answer:
(7,-11)
Step-by-step explanation:
We are given the rule of: [tex](x,y)\rightarrow(x+3,y-2)[/tex].
Apply the rule to point P:
[tex](4,-9)\rightarrow(4+3,-9-2)\rightarrow\boxed{(7,-11)}[/tex]
P' should be (7,-11).
Hope this helps.
Write an equation for the description: Tanmayi wants to raise $175 for a school fundraiser. She has raised $120 so far. How much more does she need to reach her goal?
WRITE AN EQUATION......
DONT SOLVE IT.....I REPEATE, DONT SOVLE IT.......
JUST WRITE AN EQUATION
Thx y'all for helping for real. :)
please help quickly.
Answer:
Is the letter c
Step-by-step explanation:
Find the product: 377(10, 000).
Answer:
37, 700, 000
Step-by-step explanation:
377(10,000) = 377 x 10,000
= 37, 700, 000
an easy way to see it is to just add the number of zeros from 10,000 to 377. since there are four zeros, you put four zeros behind 377.
[it's not mathematical but it helps u see the answer better. and it only works with numbers that start with 1]
Twice the difference of a number and 5 is equal to 9.
Use the variable w for the unknown number.
Answer:
n = 19/5
Step-by-step explanation:
2(n - 5) represents "twice the difference of a number n and 5" and is equal to 9:
2(n - 5) = 9.
Performing the multiplication:
2n - 10 = 9, and so
2n = 19, or n = 19/5
Answer:28 hope this helps
Step-by-step explanation:
At the north campus of a performing arts school, 20% of the students are music majors. At the south campus, 70% of the students are music majors. The campuses are merged into one east campus. If 30% of the 1000 students at the east campus are music majors, how many students did the north and south campuses have before the merger?
Answer:
The north campus had [tex]800[/tex] while the south campus had [tex]200[/tex].
Step-by-step explanation:
The question stated that there are [tex]1000[/tex] students in the merged campus. That's the sum of the number of students in the north and the south campus before the merger.
Let [tex]x[/tex] denote the number of students in the north campus before the merger. The other [tex](1000 -x)[/tex] students would all belong to the south campus before the merger.
Before the merger, [tex]20\%[/tex] of the students of the north campus are of music majors. In terms of [tex]x[/tex], that's [tex](20\%)\cdot x = 0.20\,x[/tex] students.
On the other hand, [tex]70\%[/tex] of the students of the south campus are of music majors. That corresponds to [tex](70\%)\cdot (1000 - x) = 0.70\cdot (1000 - x) = 700 - 0.70\, x[/tex] students.
With a similar logic, the number of music students in the merged east campus will be [tex]30\% \times 1000 = 300[/tex].
The question implies that the sum of students in the two campuses should be equal to the number of music students in the east campus. That is:
[tex]0.20\, x+ (700 - 0.70\, x) = 300[/tex].
Solve for [tex]x[/tex]:
[tex]x = 800[/tex].
In other words, there are [tex]800[/tex] students in the north campus and [tex](1000 - 800) = 200[/tex] students in the south campus before the merger.
I have one half of a circle and I want to divide it by 1/6 how many pieces would I have
The length of a rectangle is 10m greater than the width. The area is 24m^2
Answer:
length: 12m
width: 2m
Step-by-step explanation:
24 = a*w
a = w+10
then:
24 = (w+10)w
24 = w*w + 10*w
24 = w² + 10w
0 = w² + 10 - 24
w = {-10±√((10²)-(4*1*-24))} / (2*1)
w = {-10±√(100+96)} / 2
w = {-10±√196} / 2
w = {-10±14} / 2
only positive numbers:
w = {-10+14}/2
w = 4/2
w = 2m
a = w+10
a = 2 + 10
a = 12m
Check:
24 = 12*2
The angles of a triangle add up to 180 degrees.
The second angle is 15 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
Find the measure of the smallest angle (in degrees)
Answer:
33°
Step-by-step explanation:
We were given that:
1- The angles of a triangle add up to 180 degrees
2- The second angle is 15 degrees larger than the smallest angle
3- The third angle is 3 times as big as the smallest angle
So, first of all, let's call the smallest angle x.
the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle
and the third will be 3x, since it is 3 times bigger than the smallest angle.
With the information we have, we can form an equation!
180° = x + (x+ 15°) + 3x
180° = 5x + 15°
180° - 15° = 5x + 15° - 15°
165° = 5x
165°/5 = 5x/5
33° = x
therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.
99° + 33° + 48° = 180°
so it is safe to say this answer is correct!
If the angles of a triangle add up to 180 degrees. The second angle is 15 degrees larger than the smallest angle. The third angle is 3 times as big as the smallest angle then 35 degree is the measure of the smallest angle.
The sum of three angles is 180 degrees
Let the smallest angle be x
The second angle is 15 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
We need to find smallest angle.
What is angle sum property of triangle?The sum of three angles of a triangle is 180 degrees
Let the smallest angle be x
The second angle is 15 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
We need to find smallest angle x=?
x+(x+15)+3x=180
2x+15+3x=180
5x+15=180
5x=165
Divide both sides by 5.
x=35
Therefore the smallest angle is 35 degree.
To learn more about angle sum property click here:https://brainly.com/question/21364160
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Help me 20 points FOR HELPING
Answer:
Twins in Family History Twins not in Family History
Twins Born 0.06 0.03
Single child born 0.94 0.97
Write a literal equation that represents x% of z is equal to y.
Answer:
zx - 100y = 0
Step-by-step explanation:
Since, x% of z is equal to y
[tex] \therefore \: \frac{x}{100} \times z = y \\ \therefore \: \frac{xz}{100} = y \\ \therefore \: zx = 100y \\ \therefore \: zx - 100y = 0[/tex]
The literal equation that represents x% of z is equal to y will be xz = 100y.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
x% of z is equal to y.
Then the literal equation that represents x% of z is equal to y will be given as,
x% of z = y
xz / 100 = y
xz = 100y
The literal equation that represents x% of z is equal to y will be xz = 100y.
More about the percentage link is given below.
https://brainly.com/question/8011401
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Different Question. Please explain your answer
Answer:
(x-6)^2 + (y+8)^2 = 25
Step-by-step explanation:
The equation for a circle can be written as
(x-h)^2 + (y- k)^2 = r^2
where (h,k) is the center and r is the radius
The diameter is 10 so the radius is 10/2 =5
the center is 6,-8
(x-6)^2 + (y- -8)^2 = 5^2
(x-6)^2 + (y+8)^2 = 5^2
(x-6)^2 + (y+8)^2 = 25
17. The owner of an organic fruit stand also sells nuts. She wants to mix cashews worth $5.50 per pound with peanuts worth
$2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound. How much of each kind of nut should she include
in the mixed bag?
A. Cashews: 0.10 lb.; peanuts: 0.40 1b.
B. Cashews: 0.42 lb.; peanuts: 0.08 1b.
C. Cashews: 0.40 lb.; peanuts: 0.10 1b
D. Cashews: 0.27 lb.; peanuts: 0.23 1b.
E. Cashews: 0.23 lb.; peanuts: 0.27 1b.
F. Cashews: 0.08 lb.; peanuts: 0.42 1b
Answer:
E
Step-by-step explanation:
Let's let c denote the amount of cashews and let's let p denote the amount of peanuts.
So, the owner wants to mix cashews worth $5.50 per pound with peanuts worth $2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound.
In other words, the total pounds as an equation is:
[tex]c+p=0.5[/tex]
Also, the price would be:
[tex]5.5c+2.3p=(p+c)2.8[/tex]
Since we mixed the peanuts and cashews, our sum would be 2.8(p+c).
And we already determined that p+c is 0.5. Thus, substitute:
[tex]5.5c+2.3p=(0.5)(2.8)[/tex]
Simplify:
[tex]5.5c+2.3p=1.4[/tex]
Now, we can solve the system of equations. Isolate a variable from the very first equation:
[tex]c+p=0.5[/tex]
Subtract p from both sides:
[tex]c=0.5-p[/tex]
Now, substitute this into the equation earlier:
[tex]5.5c+2.3p=1.4\\5.5(0.5-p)+2.3p=1.4[/tex]
Distribute:
[tex]2.75-5.5p+2.3p=1.4[/tex]
Combine like terms:
[tex]2.75-3.2p=1.4[/tex]
Subtract both sides by 2.75:
[tex]-3.2p=-1.35[/tex]
Divide everything by -3.2:
[tex]p=0.412875[/tex]
Now, find c:
[tex]p+c=.5[/tex]
Substitute:
[tex]c+0.421875=.5[/tex]
Subtract:
[tex]c=0.078125[/tex]
Thus, the owner would need 0.08 pounds of cashews and 0.42 pounds of peanuts.
Our answer is E.
Cynthia typed 372 words in 6 minutes what's her typing rate in words per minute
Answer:
x = 62 words
Explanation:
→ We write the data problems.
372 words .............6 minutes
→ We must find: What's Cynthia typing rate in words per minute?
372 words .............6 minutes
x words ..................1 minute
x = 372 words * 1 minute/ 6 minutes
x = 62 words
1620( 1 + 0.08/365 )^1825
Answer:
2.416,65
Step-by-step explanation:
1620( 1 + 0.08/365 )¹⁸²⁵
1620( 1 + 8/100 / 365 )¹⁸²⁵
1620( 1 + 8/36500 )¹⁸²⁵
1620(9127 / 9125 )¹⁸²⁵
2.416,65
The sum of the measures of the angles is 180. The sum of the measures of the second and third angles is two times the measure of the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Answer:
(60,47,73)
Step-by-step explanation:
Graph the line whose x-intercept is 5 and whose y-intercept is -6.
Answer:
See attached image
Step-by-step explanation:
We can easily graph the equation if we know it’s y and x intercepts. We can plot these points on a coordinate plane then connect them using a ruler, then extend these further.
Mathematically, we can find the slope which is rise over run. Every time x increases by 5, y increases by 6. This means the slope is [tex]\frac{6}{5}[/tex]. We also know the y-intercept is -6, so the equation is [tex]y=\frac{6}{5}x - 6[/tex].
Hope this helped!
What the Answer please?
Answer:
x = 151
Step-by-step explanation:
In the figure given, x is an exterior angle of the ∆.
According to the exterior angle theorem, x = the sum of the two opposite interior angles of the ∆.
One of the opposite angles measures 101°, while the second opposite angle equal 50°, since line l is parallel to m, alternate interior angles are equal.
Therefore, x = 101 + 50 = 151°
What is the y-intercept of the line that passes through the points (-3,8) and (1,6)? Convert the answer to a decimal, if necessary.
Answer:
6.5
Step-by-step explanation:
The midpoint of the line is (-1,7). If you draw a line between that and (1.6), you’ll pass through the y-axis at 6.5.
Answer:
y-intercept =6.5
Step-by-step explanation:
First , lets find the slope
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-3,\:8\right),\:\left(x_2,\:y_2\right)=\left(1,\:6\right)\\m=\frac{6-8}{1-\left(-3\right)}\\\\Refine\\m=-\frac{1}{2}[/tex]
[tex](-3,8) =(x_1,y_1)\\m =-\frac{1}{2} \\\\[/tex]
Plug in values point point slope form
[tex]y-y_1=m(x-x_1)\\\\y -8=-\frac{1}{2} (x-(-3))\\\\y - 8 =-\frac{1}{2} (x+3)\\\\y -8= -\frac{1}{2} x -\frac{3}{2} \\\\y =-\frac{1}{2} x - \frac{3}{2} +8\\\\y = -\frac{1}{2}x +\frac{13}{2} \\y =\:mx\:+\:b[/tex]
Where b = y-intercept
y-intercept =[tex]\frac{13}{2}[/tex]
Suson caves 5% of her allowance cach week.
This week her allowance was $10
How much money did she save?
Write it in an algebraic expression and evaluate
Answer:
(10 - .05)w
w= weeks she saves
Directions: Danny earns $12.25 per hour. He works 27 hours in a week. What is his
weekly wage? Round your answer to the nearest dollar.
Answer:
$331
Step-by-step explanation:
$12.25 per hour
27 hours
$12.25 • 27 = $330.75