One student scored 92 percent in his math class. Another scored 100 percent in the same class.
By how much did the other student score higher than the first?
⇒ 8%
I hope this helps!
a health status survey in a few villages revelaed that the normal serum protein value of children in that locality is 7.0g/100ml. A group of 16 children, who received high protein food for a period of 6months had serum protein values shown below.Can we consider that the mean serum protein level of these who were fed on high protein is different from that of general population
We can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.
To determine whether the mean serum protein level of the group of 16 children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml, we can perform a hypothesis test.
Let's denote:
μ1 = Mean serum protein level of the general population (assumed to be 7.0g/100ml)
μ2 = Mean serum protein level of the group fed on high protein food
The null hypothesis (H0) would be that there is no difference between the mean serum protein levels of the two groups:
H₀: μ₁ = μ₂
The alternative hypothesis (Ha) would be that there is a difference between the means:
Hₐ: μ₁ ≠ μ₂
Next, we calculate the sample mean and standard deviation of the group that received high protein food from the given serum protein values.
Assuming the serum protein values (in g/100ml) for the 16 children are as follows:
8.2, 7.6, 7.8, 7.4, 8.0, 7.9, 7.7, 7.5, 7.2, 7.3, 8.1, 7.6, 8.3, 8.0, 7.8, 7.9
Sample mean (x') = (sum of values) / (number of values) = (121.8) / (16) ≈ 7.613 g/100ml
Sample standard deviation (s) ≈ 0.352 g/100ml
Next, we perform a two-sample t-test (assuming equal variances) to compare the means of the two groups. We use the formula:
t = (x'₁ - x'₂) / √[(s₁² / n₁) + (s₂² / n₂)]
where x'₁ and x'₂ are the sample means of the two groups, s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.
Substituting the values, we get:
t ≈ (7.613 - 7.0) / √[(0.352² / 16) + (0.0² / 16)] ≈ 3.584
Now, we need to find the critical t-value at a given significance level (commonly set at 0.05) and degrees of freedom (df = n1 + n2 - 2). Since we have 16 + 16 - 2 = 30 degrees of freedom, the critical t-value (two-tailed test) is approximately 2.042.
Since the calculated t-value (3.584) is greater than the critical t-value (2.042), we reject the null hypothesis (H0). This means that there is a significant difference between the mean serum protein levels of the two groups.
In conclusion, based on the given data and the hypothesis test, we can consider that the mean serum protein level of the group of children who received high protein food is different from that of the general population with a normal serum protein value of 7.0g/100ml.
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The union of { 1, 2, 3, 4, 5, 6 } and { 4, 5, 6, 7, 8, 9, 10} is ( 4, 5, 6 }. True or false?
Answer:
Below:
Step-by-step explanation:-
The answer is in the comment!! someone answered your question!!
Answer:
false this is because the answer would contain all the values in both sets
Ms. McCullough bought a bunch of bananas. If she ate 2/8
the bananas and Mrs. Byrd ate 1/4, what fraction of bananas
remains?
Answer:
1/2
Step-by-step explanation:
that's the answer because 2/8-1/4 is 1/2
Hilary is making slime for a class project
He discovers that he needs 2 cups of glue for every 3 cups of water
Select all the ratios that have the same constant of proportionality as Hilary's
observation
4:6
3:6
3:12
8:12
The ratios that have the same constant of proportionality as Hilary's observation are 4:6 and 8:12.
Hilary's observation states that he needs 2 cups of glue for every 3 cups of water. This can be represented as the ratio 2:3.
Now, let's compare this ratio to the given options:
4:6 = 2:3
Same ratio, same constant of proportionality.
3:6 = 1:2
Different ratio, not the same constant of proportionality.
3:12 = 1:4
Different ratio, not the same constant of proportionality.
8:12 = 2:3
Same ratio, same constant of proportionality.
So, the ratios that have the same constant of proportionality as Hilary's observation are 4:6 and 8:12.
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A group of workers is harvesting carrots at a constant rate. An equation that represents the number of bushels of carrots the workers picked over a period of time, in hours, is y=6x+2. What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for this situation.
Answer:
Step-by-step explanation:
y = bushels of carrots picked
6 = bushels of carrots per hour (rate of change)
x = time worked at picking
2 = initial number of bushels picked before time starts.
My original answer was deleted for "Violating community standards" but I have no idea why my answer ran afoul of the moderator's interpretation of the standard. Also I see no way to protest the action or to learn from my "mistake".
which of the following is the inverse of F(x) = 2 x + 3?
Answer:
[tex]\frac{x-3}{2}[/tex]
Step-by-step explanation:
1. Michael serves 1.5 quarts of juice for eight people if he’s going to serve 128 people how much juice does he need?
2. five out of nine people at Hawaiian Falls have a season pass if there are 360 people at the pool how many have a season pass?
Answer:
1. 24 qt
2. 200 people
Step-by-step explanation:
1. Use a proportion.
1.5 qt to 8 people = x qt to 128 people
1.5/8 = x/128
Cross multiply.
8x = 1.5 × 128
8x = 192
x = 24
Answer: 24 qt
2.
5/9 of number of people have a season pass.
number of people at pool = 360
5/9 × 360 = 200
Answer: 200 people
a bird is flying 1200 feet above the see level. at a particular point it is directly above a fish floating at 400 feet below the see level .by how much the bird must descend its flight to be as far as from the see level,as the fish is
Answer:
Ok the answer is 200 feet
What is the distance between the points (6, 11) and (3, 1)? If necessary, round
your answer to two decimal places.
A. 109 units
B. 9.43 units
C. 10.44 units
D. 89 units
Answer:
C.) 10.44030650
Step-by-step explanation:
Answer:
C. 10.44 unitsStep-by-step explanation:
Use distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Substitute the values and calculate:
[tex]d=\sqrt{(3-6)^2+(1-11)^2} =\sqrt{(-3)^2+(-10)^2} =\sqrt{9+100} =\sqrt{109} =10.4403[/tex]Correct choice is C
Topic 3: Performance Assessment Form A
Due 11/18/21
Recall the function V that you wrote in Question 1 to represent the volume of the soil in the frame. Choose an online tool or paper to graph the function V
to identify the x-intercepts. List them in order from least to greatest.
0
1
2
3
4
5
3
The x-intercepts are -
, and
Part
Which, if any, of the x-intercepts has meaning in the context of the problem? Explain.
B 1
Ω 6
Roviow progress
Question 3
oro
Back
Next →
Answer:
Suppose, for example, we graph the function
f
(
x
)
=
(
x
+
3
)
(
x
−
2
)
2
(
x
+
1
)
3
.
Step-by-step explanation:
Write each decimal as a percent. 1. 0.74
4. 0.617 =
Write each percent as a decimal. 6. 68%
9. 175% =
2. 0.15 =
5. 0.834 =
7. 34% =
10. 200% =
3. 0.09 =
8. 58.5% =
Answer:
1. 0.74 = 74%
4. 0.617 = 61.7
6. 68% = 0.68
9. 175% = 1.75
2. 0.15 = 15%
5. 0.834 = 83.4%
7. 34% = 0.34
10. 200% = 2.00
3. 0.09 = 9%
8. 58.5% = 0.585
Step-by-step explanation:
PLEASE SOMEBODY HELP Let x and Y be two positive integers such that x-y =75 and the least common multiple of x and y is 360. Find the value of x+y.
Step-by-step explanation:
xy=360
x-y=75
(x-y)^2+2xy=(x+y)^2-2xy hence we have for x+y= ((x-y)^2+4xy)^0.5 which somehow equals 84.1
61 = 7 - 6x
this is 8th grade math
Answer:
x = -9
Step-by-step explanation:
Solve:
61 = 7 - 6x54 = -6xx = -9-Chetan K
Answer:
[tex]\large\boxed{\boxed{\underline{\underline{\maltese{\pink{\pmb{\sf{\: Solution :- \: x = -9 }}}}}}}}[/tex]
Step-by-step explanation:
[tex]61 = 7 - 6x\\61 - 7 = - 6x\\54 = -6x\\-\frac{54}{6} = x\\\boxed{- 9 = x}[/tex]
______
Hope it helps!
[tex]\mathfrak{Lucazz}[/tex]
To solve the given system by elimination, what is the first step to take? A) Rewrite each equation in standard form, ax + by = c. B) Multiply 2x + y + 1 = 0 by −3. C) Multiply 2x + y + 1 by −2. D) Combine the equations by adding like terms.
Answer:
option d
Step-by-step explanation:
Your should have attached the equation for answer to be explained
Zoin is reading a 300-page book.He is 41% finshed. How many pages of the book has he read so far?
Answer: 41% of 300 is 123
this was a basic answer
He has read 123 pages of the book so far.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that Zoin is reading a 300-page book.He is 41% finshed.
Therefore, we get;
41% of 300
41% x 300
0.41 x 300
= 123
Hence,
The number of pages is 123
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its urgent .have an exam tomorrow .pls help
Find the gradient of the line segment between the points (4,-6) and (-6,-16).
Answer:
1
Step-by-step explanation:
gradient M= change in Y / change in X
= (-16--6)/(-6-4)
= -10/-10
M therefore= 1
HELP ASAP
I WILL GIVE BRAINLIEST
How is the product of 2 and 5 shown on a number line?
2-1 0 1 2 3 4 5.7.1
-10
101235
7.
-13-
3-L 1 2 3
5
-1012
4 5
Answer:
4th option
Step-by-step explanation:
2x-5 means yo have to take minus 5 twice. So you start from 0 and jump back 5 steps twice. So 4
Pls brainlest ASAP and add extra points for correct answer
Answer:
glucose, sunlight and oxygen on the left (they go in the cell)
water and carbon dioxide on the right (they go out of the cell)
help any body plzs i will give brianlyest
- BRAINLIEST answerer
answer this question fast
Answer:
0.09
Step-by-step explanation:
Answer:
we know that it is 0.6 km
so we convert into meters
and then get 600 m
Hope that helps
Answer:
ok thank u ig
Step-by-step explanation:
Please do this step by step!
Answer:
Step-by-step explanation:
Let the amount creating equality = x
10% x + 625 = 20%x Convert The percentages to a decimal
10/100 x + 625 = 20/100 x Multiply both sides by 100
10x + 62500 = 20 x Subtract 10x from both sides
62500 = 20x - 10x Combine
62500 = 10x Divide by 10 on both sides
62500/10 =10 x/10
6250 = x
The equality is reached when 6250 sales is made.
Select the graph which correctly displays the function f(x) = |x + 2|– 3.
graph 1
graph 2
graph 3
graph 4
Answer:
Graph 4
Step-by-step explanation:
I have to put more words lol
What's fish + nine?
I NEED HELP!?
Answer:
nine fish............
Answer: 9 Fish
Step-by-step explanation:
Solve 2x-1/4 + x/3 = 2
Step-by-step explanation:
=> 2x-1/4 + x/3 = 2
=> 3(2x-1) +4x / 12 = 2
=> 6x -3 + 4x = 24
=> 10x = 27
=> x = 2.7
Answer:
x = 27/28
Step-by-step explanation:
Solve 2x-1/4 + x/3 = 2
2x - 1/4 + x/3 = 2
2x + (-1/4) + 1/3x = 2
(2x + 1/3x) + (-1/4) = 2
7/3x + (-1/4) = 2
7/3x = 9/4
3/7 * 7/3x = 3/4 * 9/4
x = 27/28
---------------------
check
2 * 27/28 - 1/4 + 27/28 *1/3 = 2
2 = 2
the answer is good
Help help math please help help help help
Answer:
Answered is x= 55x
Step-by-step explanation:
13x+10 * 12x+20
soln:
or, 13x+12x+10+20
or, 25x+30
:., therefore, x=55x
Determine whether the distribution is a discrete probability distribution
X. 1 2 3 4 50
P(x) 0.28 0.45 0.11 0.08 0.08
Is the distribution a discrete probability distribution?
O A. Yes, because the sum of the probabilities is equal to 1 and each probability is between 0 and 1, inclusive.
OB. No, because each probability is not between 0 and 1, inclusive.
O c. Yes, because the sum of the probabilities is equal to 1.
OD. No, because the sum of the probabilities is not equal to 1.
Answer:
A child psychologist is interested in the number of times a newborn baby’s crying wakes its mother after midnight. For a random sample of 50 mothers, the following information was obtained. Let X = the number of times per week a newborn baby’s crying wakes its mother after midnight. For this example, x = 0, 1, 2, 3, 4, 5.
P(x) = probability that X takes on a value x.
x P(x)0 P(x = 0) = 250
1 P(x = 1) = 1150
2 P(x = 2) = 2350
3 P(x = 3) = 950
4 P(x = 4) = 450
5 P(x = 5) = 150
Step-by-step explanation:
pa follow po pls.
How to express a mixed number as a percent
Answer:
Make it an improper fraction and multiply by 100
Answer:
Well a percent means out of a hundred
And a mixed number is
x e/y (example)
Now we know the whole number is already 1 and above so we know that’s already a 100%
Now we just need to add the other fraction to the 100%.
Thats it!
OR you can do convert the mixed number into an improper fraction.
From there make a proportion of the improper fraction equaling x/100
Now solve the proportion by cross multiplying.
Solve for x
Find the equation for the linear function based upon this table. y = mx + b
y -6 -2 2 6 10
x -4 -2 0 2 4
Answer:
y = 2x + 2
Step-by-step explanation:
for each rise of 4 in y
there is a run of 2 in x
m = rise/run
m = 4/2
m = 2
when x = 0, y = 2
therefor the y-intercept, b = 2
y = mx + b
y = 2x + 2