Researchers have noted a decline in cognitive functioning as people age (Bartus, 1990). However, the results from other research suggest that the antioxidants in foods such as blueberries can reduce and even reverse these age-related declines, at least in laboratory rats (Joseph et al., 1999). Based on these results, one might theorize that the same antioxidants might also benefit elderly humans. Suppose a researcher is interested in testing this theory. The researcher obtains a sample of adults who are older than 65, and gives each participant a daily dose of a blueberry supplement that is very high in antioxidants. After taking the supplement for 6 months, the participants are given a standardized cognitive skills test and produce a mean score of . For the general population of elderly adults, scores on the test average μ and form a normal distribution with σ=9.
(a)-Can the researcher conclude that the supplement has a significant effect on cognitive skill? Use a two-tailed
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
Yes the researcher can conclude that the supplement has a significant effect on cognitive skill
b
[tex]d = 0.5778 [/tex]
c
The result of this hypothesis test shows that there is sufficient evidence to that the supplement had significant effect.The measure of effect size is large due to the large value of Cohen's d (0.5778 > 0.30 )
Step-by-step explanation:
From the question we are told that
The sample size is n=16
The sample mean is [tex]M = 50.2[/tex]
The standard deviation is [tex]\sigma = 9[/tex]
The population mean is [tex]\mu = 45[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o \mu =45[/tex]
The alternative hypothesis is [tex]H_a \mu \ne 45[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{M - \mu}{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]z = \frac{50.2 - 45}{\frac{9}{\sqrt{16} } }[/tex]
=> [tex]z = 2.31 [/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z > z )[/tex]
[tex]p-value = 2 * P(Z > 2.31 )[/tex]
From the z-table
[tex]P(Z > 2.31 ) = 0.010444[/tex]
=> [tex]p-value = 2 * 0.010444 [/tex]
=> [tex]p-value = 0.021 [/tex]
From the obtained values we see that [tex]p-value < 0.05[/tex]
Decision Rule
Reject the null hypothesis
Conclusion
There is sufficient evidence to conclude that the supplement has a significant effect on the cognitive skill of elderly adults
Generally the Cohen's d for this study is mathematically represented as
[tex]d = \frac{M - \mu}{\sigma }[/tex]
=> [tex]d = \frac{50.2 -45}{9 }[/tex]
=> [tex]d = 0.5778 [/tex]
Harper and her children went into a bakery and will buy cupcakes and brownies.
Each cupcake costs $4.25 and each brownie costs $2.75. Harper has a total of $40 to
spend on cupcakes and brownies. Write an inequality that would represent the
possible values for the number of cupcakes purchased, c, and the number of brownies
purchased, b.
Answer:
4.25c+2.75b_<40
Step-by-step explanation:
PLEASE BE QUICKKK!!
Answer:
The Answer would be C, i think
Step-by-step explanation:
plsss answer pic below
Simplify -2.6f+0.7f-15-4
Answer:
-1.9f-19
Step-by-step explanation:
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] - 1.9f - 19 = [/tex]
[tex] - 1.9(f + 10)[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Pls someone help hurry
Answer:
First base goes with first height, second base with third height and third base with second height
Step-by-step explanation:
need help answer quick
Answer:
number 10
k= 36
number 11
k=33
Help please all of yu smart mathematics
Answer: take the picture again and i well help you am here to help its burred
Step-by-step explanation:
What is the lower quartile? (CAN ANYONE HELP:))
Write the repeating decimal as a fraction. -0.356 with 2 trailing repeating decimals plz help ill give branliest
Answer:
Fraction: 89/250
Percentage:35.6%
Step-by-step explanation:
How do I solve 5(1 − x) + 2(x + 3) ?
Answer:
11-3x
Step-by-step explanation:
1) Multiply 5(1-x). To do this, you multiply 5 by both x and 1. You should get 5-5x.
1) Next, multiply 2(x+3). You should get 2x+6.
3) Finally, add like terms. Add 2x and -5x together and add 6 and 5 together. You should get -3x and 11.
The answer is 11-3x.
Line m passes through (5,-3) and is parallel to a line that passes through (1,-4) and (9,-2).
The required equation of the line is given as y =1/4x -17/4.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the value in the above equation,
m = -2 + 4 / 9 - 1
m = 2 / 8
m = 1/4
Since the slope of the parallel lines is equal,
The equation of the parallel is given as,
y - y₁ = m (x - x₁)
Substitute the point in the equation,
y + 3 = 1/4(x - 5)
y = 1/4x - 5/4 -3
y =1/4x -17/4
Thus, the required equation of the line is given as y =1/4x -17/4.
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What two whole numbers is the quotient between 17÷2
A. 3 and 4
B. 6 and 7
C. 8 and 7
D. 15 and 16
Answer:
Step-by-step explanation:
C
Because 17 divided by two is 8.5
6+9=69 ok so this is simple beacause you take six then add nine with it to get 69
Find the percent increase or decrease from Monday to Tuesday.
Miles Jan walked Monday: 12
Miles Jan walked Tuesday: 3
Answer:
the answer is -75% that mean 75% decrease
Write the statements “If you take away 6 from 6 time a number, you get 60”in the form of equations:.
Can someone help me with this please!? its urgent!
Thank you who helped :)
Question: Explain how you would find the measure of the angle indicated.
Answer:
x=11 qqqqgugug
Step-by-step explanation:
I'm nerdy
Answer:
37 degrees
Step-by-step explanation:
All insides of triangles = 180 degrees, so...
67 degrees + 76 degrees + (x + 48) degrees = 180
67 + 76 + (x + 48) = 180
143 + x + 48 = 180
191 + x = 180
x = -11
x + 48
-11 + 48
37 degrees
Jorge is making 6 large salads and 4 small salads how manny cherry tomatoes does he need
Answer:
Illogical
Step-by-step explanation:
Your question is completely illgocal unless you state the number of cheery tomatoes used in 1 or x amounts of large and small salads
Answer:
84
Step-by-step explanation:
We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes.
Which function is graphed on the coordinate plane below?
f(x) = 2x – 6
f(x) = 2x + 6
f(x) = –2x + 6
f(x) = –2x – 6
Answer:
b
Step-by-step explanation:
The correct function is graphed on the coordinate plane is,
⇒ y = 2x - 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (3, 0) and (4, 2).
Now,
Since, The equation of line passes through the points (3, 0) and (4, 2).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 0) / (4 - 3)
m = 2 / 1
m = 2
Thus, The equation of line with slope 2 is,
⇒ y - 0 = 2 (x - 3)
⇒ y = 2x - 6
Therefore, The equation of line passes through the points 3, 0) and (4, 2). will be;
⇒ y = 2x - 6
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which equation represents a line that passes through 4 6) and is parallel to the line whose equation is 3x - 4y= 6
TIMED TEST WILL GIVE BRAINLIEST
Parallel means their slopes should equal to each other.
Thus we need to find the slope of the given line ,
Let's do it.....
[tex]3x - 4y = 6[/tex]
Subtract sides -3x
[tex] - 3x + 3x - 4y = - 3x + 6[/tex]
[tex] - 4y = - 3x + 6[/tex]
Divided sides by -4
[tex] \frac{ - 4}{ - 4}y = \frac{ - 3}{ - 4}x + \frac{6}{ - 4} \\ [/tex]
[tex]y = \frac{3}{4}x - \frac{3}{2} \\ [/tex]
This is the slope-intercept of the line.
We know that the coefficient of the x in slope-intercept form , is the slope of the line.
Thus the slope of the equation which we want is :
[tex]slope = \frac{3}{4} \\ [/tex]
_________________________________
We have following equation to find the point-slope form of the linear functions.
[tex]y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\ [/tex]
Now just need to put the slope and the given point in the above equation.
[tex]y - 6 = \frac{3}{4} \times (x - 4) \\ [/tex]
Multiply sides by 4
[tex]4(y - 6) = 3(x - 4)[/tex]
[tex]4y - 24 = 3x - 12[/tex]
Plus sides 24
[tex]4y - 24 + 24 = 3x - 12 + 24[/tex]
[tex]4y = 3x + 12[/tex]
Subtract sides -3x
[tex]4y - 3x = 3x - 3x + 12[/tex]
[tex]4y - 3x = 12[/tex]
And we're done....♥️♥️♥️♥️♥️
List the domain and range of each function (1,-4),(2,-3),(3,-2),(4,-1)
Answer:
Domain are all x values
Range are all y values
Domain:(1,2,3,4)
Range:(-4,-3,-2,-1)
Arnie delivered n packages each hour for 3 hours while Beth delivered q packages each hour for 4 hours. Which expression represents the total number of packages delivered by both Arnie and Beth?
Answer:
Vfgfvhgf
Step-by-step explanation:
Vb vgbbgbv gybgyh
Answer:
3n + 4q
Step-by-step explanation
Hello I need help with my school question. Here it is. Estimate.
73
×
64 And it’s not 4,672. I tried that
Which linear equation has a slope of 3 and a y-intercept of -2?
y = 3x + 2
y=3x-2
y=-2x + 3
y = -2x - 3
Answer:
y=3x-2
Step-by-step explanation:
3 is the coefficient of x (slope)
-2 comes after (y-int)
linear equation y = 3x-2 has a slope of 3 and a y-intercept of -2.
What is the Slope of a line?A line's slope can be determined by looking at its slope. The slope is determined mathematically as "increase over run" (change in y divided by change in x). There are several ways to find the slope, including standard form, slope-intercept form, and point-intercept form.
Given, A linear equation that has a slope of 3 and a y-intercept of -2.
Y-intercept of -2 means at x = 0 y would be -2
The slope-intercept form of a line is
y = mx + c
where m = slope
c = constant
Substituting the values in the given equation
-2 = 0 * 3 + c
c = -2
thus, the equation of the line,
y = 3x -2
therefore, The y-intercept of the linear equation y = 3x-2 is -2, and its slope is 3.
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What do the differences between the points (as shown on the graph) represent?
Please answer
Answer:
Answer:
They represent the rise and run of the graph.
Step-by-step explanation:
Step-by-step explanation:
The difference between the x-axis of the points represents the "run" of the graph (or how much you should run along x-axis to get to the next point.)
The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).
The ratio of rise to run is the slope of the graph, which tells us how many steps should we take on the y-axis for every step we move forward on the x-axis.
They represent the rise and run of the graph.
The difference between the x-axis of the points represents the" run" of the graph( or how important you should run along x-axis to get to the coming point.) The difference between the y- axis of of the points represents the" rise" of the graph( or how important you should rise up the y- x is to get to the coming point).
The rate of rise to run is the slope of the graph, which tells us how numerous way should we take on the y- axis for every step we move forward on the x-axis.
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HELP ILL AWARD BRAINLIEST
Answer:
Think about it
Step-by-step explanation:
If you made $20 in 2 hrs you made $10 per hour
To find out how much you make per certain number of hrs multiply $10 by the number of hours
The equation is y = 10x + 0 <-- this is also answer to number 4
10x is the constant of proportionality I think.
The LCM of 4 and 7 is ______.
28 is the LCM of 4 and 7 as 4*7 = 28
Answer:
The LCM of 4 and 7 would come out to 28.
5x + 4 = 5x +4
O One Solutions
O Infinitely many solutions
O No Solution
Please help
Answer:
No Solution
Step-by-step explanation:
I think this will help you
Infinitely many, because if you subtract 5x from both sides, 4 = 4, and that is true at all times, no matter what x is.
Solve the inequality:
4x−2≤6
Select one:
x≥1
x≤2
x≥2
x≤1
Answer:
x≤2Step-by-step explanation:
To do this, first add over the 2. That makes 4x≤8. Then divide by 4. That make x≤2
Answer:
x≤2
Step-by-step explanation:
4x-2≤6 add to 2 to both sides
4x≤8 divide both sides by four
x≤2
Hope this helps! :)
Plz help me fast will give brain list
17,400 - 3000 = 14,400
Let x be the number of months.
300x = 14,400
Divide by 300.
x = 48
12 months = 1 year
4 years is the answer.
Answer:
4 years
Step-by-step explanation:
Equation: 300x + 3000 = 17400
Subtract 3000 from both sides;
300x = 14400
Divide both sides by 300;
x = 48 months
48 months = 4 years
HURRY Nora tracked variations in temperature for five days to show how much above or below average the actual temperature was. A 5-column table with 1 row titled Degrees Above/Below Average (Fahrenheit). Column 1 is labeled Monday with entry 2.2. Column 2 is labeled Tuesday with entry negative one-half. Column 3 is labeled Wednesday with entry negative 1 and one-half. Column 4 is labeled Thursday with entry negative 0.9. Column 5 is labeled Friday with entry 1. A number line going from negative 3 to positive 3. Graph the data on the number line. On which day was the temperature the farthest below average?
Answer:
Wednesday
Step-by-step explanation:
1. First find the position of each variable on the number line.
2. The average temperature is 0 because it is in the center.
3. The answer cannot be Monday because it is above so it is Wednesday.
Answer:
wensday
Step-by-step explanation: