Answer:
It is statistically significant that mean of difference scores is different from 0
Step-by-step explanation:
Subject Bar 1 Bar 2 Difference
1 20 40 20
2 18 25 7
3 24 38 14
4 14 27 13
5 5 31 29
6 26 21 -5
7 15 32 17
8 29 38 9
9 15 25 10
10 9 18 9
Mean of difference =[tex]\frac{Sum}{10}=\frac{123}{10}=12.3[/tex]
Standard deviation s =[tex]\sqrt{\frac{(x_i-\bar{x})^2}{n}}=8.93[/tex]
Null Hypothesis : mean of difference scores is 0 : [tex]H_0:\mu=0[/tex]
Alternate Hypothesis : mean of difference scores is different from 0 : [tex]H_a:\mu \neq 0[/tex]
We will use t test for unpaired
[tex]t = \frac{x-\mu}{\sqrt{\frac{s^2}{n-1}}}\\t = \frac{12.3-0}{\sqrt{\frac{8.93^2}{10-1}}}\\t=4.13[/tex]
Level of significance (two tailed) =[tex]\alpha = 0.05[/tex]
Degree of freedom = n-1 = 10-1 =9
Using calculator
The p-value is .002559.
p value < α
So ,we reject null hypothesis
So, It is statistically significant that mean of difference scores is different from 0
5. What is the probability of rolling a 4 on a number
cube and pulling a red marble out of a bag that
contains 3 red, 2 black, and 5 yellow marbles?
The probability of rolling a 4 on a number cube and pulling a red marble out of the bag is 1/20.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.
The probability of rolling a 4 on a number cube is 1/6, since there is one way to roll a 4 out of six possible outcomes (1, 2, 3, 4, 5, 6).
The probability of pulling a red marble out of the bag is 3/10, since there are three red marbles out of a total of ten marbles.
To find the probability of both events happening (rolling a 4 and pulling a red marble), we multiply the probabilities:
(1/6) x (3/10) = 1/20
Therefore, the probability of rolling a 4 on a number cube and pulling a red marble out of the bag is 1/20.
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Which expression has the same meaning as p 11/5?
Answer:
Under the first one
Step-by-step explanation:
The expression ⁵√p¹¹ is equivalent to the given expression. The correct answer would be an option (C).
What are exponential expressions?Exponential expressions, as the name indicates, involve exponents. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied.
The exponential expression is given in the question, as follows:
[tex]p^\frac{11}{5}[/tex]
We have to determine the equivalent expression to the given expression.
As per option (C), we have
⇒ ⁵√p¹¹
The above expression also can be written as:
⇒ [tex](p^{11})^\frac{1}{5}[/tex]
⇒ [tex](p^{11})^{\times}{(\frac{1}{5})}[/tex]
⇒ [tex]p^\frac{11}{5}[/tex]
Hence, we can conclude that the expression ⁵√p¹¹ is equivalent to the given expression.
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-2(3x + 6) > 4(x + 7)
Answer:
6x+6>4x+28
Step-by-step explanation:
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[tex] - 6x - 12 > 4x + 28[/tex]
Add sides 6x
[tex] - 6x + 6x - 12 > 4x + 6x + 28\\ [/tex]
[tex] - 12 > 10x + 28[/tex]
Subtract sides -28
[tex] - 12 - 28 > 10x + 28 - 28[/tex]
[tex] - 40 > 10x[/tex]
Divided sides by 10
[tex] \frac{ - 40}{10} > \frac{10}{10}x \\ [/tex]
[tex] - 4 > x[/tex]
[tex]x < - 4[/tex]
Done...
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there are 3 people at a party if each person must shake hands with every other person at the party exactly once how many handshakes will there be
Answer:
there will be 9
Step-by-step explanation:
What quadrant would the triangle be in after a rotation of 90 counterclockwise about the origin?
5x-(x-2) ≥ 2x-4(x-8)
Answer:
x>5
Step-by-step explanation:
true or false. The value -5 is an element of the solution set for the inequality x<-3
Answer: It’s True
The explanation: I did this already and I got an 100% I hope this helps I you have other questions just ask me! Hope you get a good score!
David earns 8$ per hour. He works 40 hours each week. How much does he earn in 6 weeks?
Answer:
$1920
Step-by-step explanation:
40×8= 320
320×6= 1920
Hope this helps!! :)
Graph the function y = -1x +3.
Answer:
draw a point at the (0,3). That is your y intercept and now go down one and over to the right 1 time. Continue this process and connect the dots
that is your line
Step-by-step explanation:
if syringes cost 2.10 dollars a dozen how many would 40 cost
Answer:
Step-by-step explanation:
It’s $6.82 I believe
you got to add $2.10 three times and you get $6.30
then divide the 2.10 with the remaining 4 syringes and youll get $6.82
Hope this helped
John increased the amount of water he drinks every day from 20 fluid ounces to 48
fluid Ounces. By what percentages did John increases the water he drinks?
Answer:
89
Step-by-step explanation:
i need help too
5 2/5 as a mixed number
Answer:
Mixed numbers have a whole number followed by the fraction (2 1/2). You would say "two and one half." The other format is an improper fraction where the numerator is greater than the denominator (5/2). Mathematicians would say that is five halves.
Answer:
27/5 I think um I have to fill out the question so ya
Test Practice
14. Which set of numbers correctly shows all of the factors of 28?
A 1, 2, 4, 7, 14, 28 © 1, 2, 7, 14, 28
® 0, 1, 7, 14, 28 0 1, 2, 4, 7, 8, 14, 28
What is the slope of the linr passing through thr points (0, 4) and (-8, -1)
Answer:
H4 sch nxmbd. Xhdnfcjnnccggj jjiihvfh
2/3 x - 1 = 9 - 1/6 x Im supposed to solve but i need some help
Answer:
x=12
Step-by-step explanation:
collect the x stuff on one side
2/3 x + 1/6 x = 9 + 1
5/6 x = 10
x = 12
Answer:
x=12
Step-by-step explanation:
first, you need to get the variable to one side
the easiest way to do it and not deal with negatives would be this way:
2/3x - 1 = 9 - 1/6x
+1/6x +1/6x in order to do this you must first convert the 2/3 to 4/6
to then get
5/6x - 1 = 9
then solve it like normal
5/6x - 1 = 9
+1 +1
5/6x = 10
/ 5/6 /5/6
x=12
1. Which inequality represents the following statement? Two times the quantity x plus 4 is greater than 10.
a.2x + 4 > 10
b.2(x + 4) > 10
c.x+4 > 10
d.2(x + 4) = 10
Question 4 of 5
Quadrilateral ABCD is reflected across the x-axis. What are the coordinates
of quadrilateral ABCD?
ADLY
01/2)
ch
A. A (5,5), B (5, 1), C(2, 1), D' (1,5)
B. A' (5-5), 8 (1.-5), C'(1, -2).
D'(5-1)
C. A'(-5-5), 8'(-1,-5), C (-1.-2)
D'(-5-1)
OD. A (5,5), B'(1,5), C' (1,2), D'(5, 1)
Which arrangement shows 27/5, 5.36, 5 3/5, 33/6 in order from least to greatest?
Answer:
5.36 < 27/5 < 33/6 < 5 3/5 or 5.36, 27/5, 33/6, 5 3/5
Step-by-step explanation:
Please answer this (Middle school math)
Answer:
the first one
Step-by-step explanation: what school you go too
what would be the best first step to solving j+18/-4=8:
-add 18 to both sides
-subtract 18 from both sides
-multiply both sides by 4
-multiply both sides by -4
(choose 1)
Write it slope intercept form:
Slope= -1 Y intercept= 8
Answer:
y = -x + 8
Step-by-step explanation:
Slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
We are given that the slope is -1 and the y-intercept is 8. We are asked to write the information in slope-intercept form. To do this, lets plug in -1 for m, the slope, and 8 for b, the y-intercept, into the equation for slope-intercept form.
y = mx + b
y = -1x + 8
y = -x + 8
So the slope intercept form would be y = -x + 8.
I hope you find my answer and explanation to be helpful. Happy studying.
I guess that mean hold him down if he say he can’t breathe
Answer:
[tex]this \: proberbility \: is \: \frac{2}{5} [/tex]
please help me asap
Tom counted a total of 45 birds and squirrels at the park. There were 4 times as many birds as squirrels. How many birds did Tom count?
Answer:
9 squirrels and 36 birds
Step-by-step explanation:
4x+x=45
5x=45
x=9
4*9=36
Which situation can be represented by this inequality?
3 + 2.0 > 8x
Select one:
The cost of 2 candy bars plus a $3 bag of chips is greater than 8 candy bars.
The cost of 2 candy bars with a discount of $3 is greater than 8 candy bars.
o The cost of a $3 bag of chips plus 2 candy bars is at least as much as 8 candy bars.
The cost of a $3 bag of chips plus 2 candy bars is less than 8 candy bars.
Answer: D
Step-by-step explanation:
Jenny & Natasha are working on a problem together: Solve 3+8=−2. Natasha thinks the first step is to multiply by 3. Jenny explains that this is not the most efficient way to solve. Explain who is correct & justify your reasoning.
This is the correct way to solve the problem :
You add 3 and 8 together.
you see if it equals -2 or not.
I hope this helps!
Answer:
jenny the first step is to subtract 8
Step-by-step explanation:
Jacob rides his bike 4 miles in 15 minutes. The ratio of miles to minutes is 4 to 15. How many minutes would it take Jacob to ride his bike 12 miles.
Answer:
180 minutes
Step-by-step explanation:
If you have a box of candy that is 8 inches long, 5 inches wide, and 2
inches tall, how much space do you have for candy?
you roll three six sided dice. what is the probability that exactly two of the dice are odd?
Answer:
3C2 * (.5)^2 * (.5)^1
.375
Step-by-step explanation:
...
The probability that exactly two of the dice are odd is 3/8
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
What is Binomial theorem of probability?[tex]P=~ ^nC_r\times p^r \times q^{n-r}[/tex]
where, p is the probability of success and q is the probability of failure
For given example,
We roll three six sided dice.
We need to find the probability that exactly two of the dice are odd
the probability of success i. e. dice is odd would be,
⇒ p = 3/6
⇒ p = 1/2
So, the probability of failure would be,
⇒ q = 1 - p
⇒ q = 1 - 1/2
⇒ q = 1/2
Also, n = 3 and r = 2
Using Binomial distribution the required probability would be,
[tex]\Rightarrow P=~ ^nC_r\times p^r \times q^{n-r}\\\\\Rightarrow P=~ ^3C_2\times (\frac{1}{2} )^2 \times (\frac{1}{2} )^{3-2}\\\\\Rightarrow P =\frac{3!}{3!(3-2)!}\times \frac{1}{4} \times \frac{1}{2}\\\\ \Rightarrow \bold{P=\frac{3}{8}}[/tex]
Therefore, the probability that exactly two of the dice are odd is 3/8
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John has $100 in his bank account, and is spending $3 a day on lunch. How long until he has $55 in his account?
Answer:
15 days
Step-by-step explanation:
We know that John has $100 in his bank account and he is spending $3 a day.
We want to find how many days until he has $55 left.
d=days
55=100-3d
55+3d=100
100-55=3d
3d=45
Solving for d, we divide by 3.
Your answer is 15.