Answer:
To solve this question, we just need to observe the given graph.
(A) How many pupils scored more than 8 in the test?
Each little square is equivalent to 0.5 units, so there are 5 students who fot more than 8. Specifically, 1 got 8 points and 4 students got 10.
(B) How many pupils are there in Mr. Hassan's Year 7 class?There are 33 pupils in total, remember that each little square is equivalent to 0.5 units.
(C) What assumption have you made in answering part b)?The assumption was that the majority of pupils scored less than 8.
what is the volume of the sphere is the radius is 1m
Answer:
If u consider Pi as 3.14 , the answer would be 4.18 .
Step-by-step explanation:
Hope it helps u , good luck ^.^
a jet travels 2544 miles against the wind in 4 hours and 3184 miles with the wind in the same amount of time. what is the rate of the jet in still air and what is the rate of the wind?
Rate of the jet in still Air is 716 miles per hour and
wind speed is 80 miles/hour.
What is relative velocity?The velocity of an item in relation to another observer is known as its relative velocity. It is the pace at which one item's relative location changes in relation to another object over time. When two bodies are travelling in opposing directions, their relative velocity is at its highest. They are approaching one another.
Let ‘X’ be speed of jet and
'Y’ be speed of Wind
Relative velocity when jet travels against wind: X - Y = ( 2544 / 4 ) = 636 miles/hour
Relative velocity when jet travels with wind is: X + Y = ( 3184 / 4 ) = 796 miles/hour
By adding these two equations we will get
2 X = 1432 or X = 716 miles /hour and
or, Y = 796 - 716 = 80 miles/hour
Hence,
Rate of the Jet in still Air is 716 miles per hour and
Wind speed is 80 miles/hour.
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suppose that six people can stuff Flyers until 500 envelopes in five minutes assume all people work at the same steady rate. A.) The relationship between the number of people stuffing envelopes in the number of minutes it takes to stuff Flyers into 500 and the lives is what type of relationship? How can you tell? Make a table and a graph to show the relationship and explain how to find several of the entries. including entry for five people. B.) The relationship between the Number of people stuffing envelopes and the number of envelopes they can stuff in five minutes is what type of relationship how can you tail? Make a table and a graph to show the relationship and explain how to find several of the entries. Including entry for five people.
A) Given that all people work at the same steady rate and 6 people stuff flyers in 5 minutes, then 12 (=2*6) people will need 2.5 (=5/2) minutes, 30 (=5*6) people will need 1 (=5/5) minutes, etc. Then, the relationship is inverse.
The formula that relates the variables is:
people = k/time
Replacing with people = 6 and time = 5, we get.
6 = k/5
6*5 = k
k = 30
For 5 people:
5 = 30/time
time = 30/5
time = 6 minutes
people | time
5 | 6
6 | 5
12 | 2.5
30 | 1
A house plan has concrete stairs leading down into the garage. How much concrete is needed to make the stairs?
The amount of concrete needed to make the stairs for a house plan depends on various factors, such as the size and shape of the stairs, the thickness of the concrete, and the depth and width of the steps.
- The first step in calculating the amount of concrete needed for the stairs is to determine the size and shape of the stairs. This includes the height, length, and width of the stairs, as well as the number of steps required.
- The thickness of the concrete is also an important factor in determining the amount of concrete needed. Typically, the thickness of concrete stairs ranges from 4 to 6 inches, but this may vary depending on the weight they will be supporting and the local building codes.
- The depth and width of the steps also affect the amount of concrete needed. The standard depth for a step is around 10 inches, while the width ranges from 36 to 48 inches. However, these measurements can be adjusted according to the needs and preferences of the homeowner.
- Once all of these factors are determined, the amount of concrete needed can be calculated using a formula that takes into account the volume of the stairs. The formula is: volume = height x length x width.
- For example, if the stairs are 4 feet high, 10 feet long, and 3 feet wide, the volume of concrete needed would be: 4 x 10 x 3 = 120 cubic feet.
- It is important to note that this is just an estimate, and the actual amount of concrete needed may vary depending on other factors such as the type of concrete mix used, the weather conditions during pouring, and the expertise of the contractor.
Long answer: The amount of concrete needed to make the stairs for a house plan can vary depending on several factors. The first factor to consider is the size and shape of the stairs. The size of the stairs is determined by the height, length, and width of the stairs, as well as the number of steps required. The shape of the stairs can also vary, from straight flights to curved or spiral designs.
Another important factor to consider is the thickness of the concrete. The thickness of concrete stairs ranges from 4 to 6 inches, but this may vary depending on the weight they will be supporting and the local building codes. Thicker stairs are typically required for heavier loads or for areas with high foot traffic.
The depth and width of the steps are also important factors to consider when calculating the amount of concrete needed. The standard depth for a step is around 10 inches, while the width ranges from 36 to 48 inches. However, these measurements can be adjusted according to the needs and preferences of the homeowner.
Once all of these factors are determined, the amount of concrete needed can be calculated using a formula that takes into account the volume of the stairs. The formula is: volume = height x length x width.
For example, if the stairs are 4 feet high, 10 feet long, and 3 feet wide, the volume of concrete needed would be: 4 x 10 x 3 = 120 cubic feet. This calculation assumes that the stairs are straight and have a uniform width and depth. If the stairs are curved or have irregular dimensions, the amount of concrete needed will be different.
It is important to note that this is just an estimate, and the actual amount of concrete needed may vary depending on other factors such as the type of concrete mix used, the weather conditions during pouring, and the expertise of the contractor.
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HELP PLSSS THIS IS HARD SOMEONE
Answer:
the last choice
Step-by-step explanation:
i mean, you judt gotta find the points of the letters.
you can first find the coordinates of point A, which is 3, 2
based off of that, the rest of the answer choices don't have A as 3, 2.
so, with Process of Elimination, its the last one.
Can someone answer my question please
Answer:
do you know how to calculate c
Step-by-step explanation:
the following estimated regression equation is based on observations. the values of sst and ssr are and , respectively. a. compute (to 3 decimals). b. compute (to 3 decimals). c. comment on the goodness of fit. the estimated regression equation - select your answer - .
The coefficient of determination (R²) for the given regression model is 0.974
The coefficient of determination, R², is a measure of how well the regression line fits the data. It represents the proportion of the total variation in the dependent variable that is explained by the independent variables in the regression model.
To compute R², we first need to calculate the sum of squares total (SST), which is the total variation in the dependent variable
SST = ∑(yi - y)²
where yi is the ith observed value of the dependent variable, and y is the mean of the dependent variable.
In this case, SST = 1805, as given.
Next, we need to calculate the sum of squares regression (SSR), which represents the variation in the dependent variable that is explained by the independent variables
SSR = ∑(yi - y)²
where yi is the ith observed value of the dependent variable, and y is the predicted value of the dependent variable based on the regression model.
In this case, SSR = 1760, as given.
Finally, we can compute R² as
R² = SSR/SST
Substituting the values given, we get:
R² = 1760/1805
R² = 0.974
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The given question is incomplete, the complete question is:
The following estimated regression equation based on 30 observations was presented. y = 17.6 + 3.8x₁ – 2.3x₂ + 7.6x₃ + 2.7x₄ The values of SST and SSR are 1805 and 1760, respectively.
Compute R²
What states corresponding angles theorem?
Jessica purchased a dvd that was on sale for 12% off. the sales tax in her county is 3%. let y represent the original price of the dvd. write an expression that can be used to determine the final cost of the dvd. how do i solve a problem like this ? khan academy
Jessica purchased a DVD that was on sale for 12% off.
The sales tax in her county is 3%.
Let, y represent the original price of the DVD.
We can simply solve this mathematical problem by using the following mathematical process.
Here, we will form an algebraic expression, according to the given data.
So,
The original price of the DVD = y
Discount on the original price :
y * 12/100
=3y/25
Price after discount :
y - 3y/25
=25y - 3y/25
=22y/25
Sales tax amount :
22y/25 * 3/100
11y/25 * 3/50
=33y/1250
Final price including the sales tax :
22y/25 + 33y/1250
1100y + 33y/1250
1133y/1250
(This will be considered as the final result.)
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8/3x(-2 1/2)
please help
Answer:
- 20x/3
Step-by-step explanation:
I hope that helps :)
A) 40 books left
B) 30 books left
C) 60 books left
D) 35 books left
Answer: It is 35
Step-by-step explanation: if you go over to the 5 days and go up you will see a dot now if you go all the way to the left on the same middle the dot is on it will land on 35
Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond
The probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.
We are given that two cards are drawn without replacement from a standard deck of 5252 playing cards. We need to find the probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond.
So, let us first find the probability of drawing a diamond card from a deck of 52 cards:4/52 = 1/13 (There are 4 diamond cards in a deck of 52 cards)
Now, if we draw a diamond card in the first draw, there will be 51 cards left in the deck of which 26 are black. Therefore, the probability of drawing a black card after drawing a diamond card is:26/51
Therefore, the probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.
Summary:Two cards are drawn without replacement from a standard deck of 52 playing cards. The probability of choosing a black card for the second card drawn, if the first card, drawn without replacement, was a diamond is 26/51.
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What value of [S] as a fraction of KM, is required to obtain 20% Vmax? [S] equals: a. 0.2 KM b. 0.25 KM c. 0.5 KM d. 0.75 KM e. 0.8.
The fraction of KM that is required to obtain 20% Vmax is [S] = 0.2 KM.
The Michaelis-Menten equation is given by: V = Vmax[S] / (KM + [S])where, V is the velocity of the reaction, Vmax is the maximum velocity of the reaction,[S] is the substrate concentration, and KM is the Michaelis constant of the enzyme.
Substituting V = 0.2V
max and rearranging the equation,
0.2Vmax = Vmax[S] / (KM + [S])
Multiplying both sides by
(KM + [S]),0.2V
max(KM + [S]) = Vmax[S]
Expanding the equation,
0.2VmaxKM + 0.2Vmax[S]
= Vmax[S]0.2VmaxKM
= 0.8Vmax[S]
Dividing both sides by
Vmax,0.2KM = 0.8[S]
Simplifying the equation,
[S] = 0.2 KM / 0.8[S] = 0.25 KM
Therefore, the fraction of KM that is required to obtain 20% Vmax is [S] = 0.2 KM, which is option (a).
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Answer please it's urgent
The formula for compound interest is:
A = P(1 + r/n)^(nt)
Where:
A = the final amount
P = the principal amount
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
Using this formula, we can calculate the compound interest on $5000.00 for 2 years at 10% per annum:
A = 5000(1 + 0.10/1)^(1*2)
A = 5000(1.1)^2
A = 5000(1.21)
A = $6050.00
Therefore, the compound interest on $5000.00 for 2 years at 10% per annum is $1050.00 ($6050.00 - $5000.00).
solve for x radical forms
Answer:
in right angled triangle ABC
by using Pythagoras law
h²=p²+b²
x²=7²+10²
x=√149=12.21cm
Simplify the expression. 3x - (2x + 4) + 5
Answer:
x
+
1
Step-by-step explanation:
Answer:
= x + 1
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH 9B IM STRUGGLING TO GET THE ANSWER
Answer:
I think its 7008 sq. ft.
Step-by-step explanation:
basically, lateral area is the area of all the sides in the 3D shape.
find the area of one of the sides (triangle), which would be 1/2 * 48 * 73 = 1752. It is a square pyramid, meaning there are four sides, so multiply 1752 by 4 and get 7008.
Answer:
1,654.6 square feet
Step-by-step explanation:
a^2 + b^2 = c^2
24^2 + h^2 = 73^2
h = sqrt (539-576) = 68.9
A = (b * h)/2
(48 * 68.9)/ = 1,654.6 ft^2
james had $400 in his bank account after paying bills for 4 months his balance is now $160. what is his rate of change in dollars per month?
Answer:
60
Step-by-step explanation:
400-160=240
240/4=60
by selecting a smaller alpha level, a researcher is . making it harder to reject h0 better able to detect a treatment effect increasing the risk of a type i error all of the above
The correct answer is: making it harder to reject H0.
By selecting a smaller alpha level (significance level), the researcher is increasing the threshold for rejecting the null hypothesis (H0). This means that stronger evidence is required to reject H0 and conclude that there is a significant treatment effect or difference. A smaller alpha level makes it harder to reject the null hypothesis because it reduces the chance of making a Type I error (incorrectly rejecting H0 when it is true). Type I error is the risk of concluding there is a significant effect or difference when there is none in the population. Therefore, selecting a smaller alpha level improves the ability to control the risk of Type I error, but it also makes it more difficult to detect a treatment effect.
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payments of $1400 each year for 8 years at 6ompounded annually
If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.
To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.
To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:
FV = P * ((1 + r)^n - 1) / r
where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).
Plugging in the values, we have:
FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06
≈ $12,350
Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.
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Pls help ASAP find the slope !!
Answer:
4,-4 I think
Step-by-step explanation:
My brain is off right now so might be wrong
Use the vertical line test to determine whether the graph shown to the right is the graph of a function
Choose the correct answer below.
O A. The given graph is a graph of a function because a vertical line can be drawn that will intersect this graph more than once.
OB. The given graph is a graph of a function because no vertical line will intersect this graph more than once
O C. The given graph is not a graph of a function because a vertical line can be drawn that will intersect this graph more than once
OD. The given graph is not a graph of a function because no vertical line will intersect this graph more than once
Answer:
thats a crazy question
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Brainlyyyyyy Crown
A ladder rests with one end on the ground and the other on a vertical wall 1.8m high. If a vertical support beam 0.6m long is placed under the ladder 3m away. From the wall, find the horizontal distance of the support beam from the bottom of the ladder.
Answer:
Let's denote the horizontal distance of the support beam from the bottom of the ladder as "x" meters.
According to the given information, the ladder is resting against a vertical wall that is 1.8m high, and the support beam is placed 0.6m away from the wall. The length of the support beam is 0.6m.
We can use similar triangles to solve for "x". The triangles formed by the ladder, the support beam, and the vertical wall are similar triangles.
The height of the vertical wall (1.8m) corresponds to the length of the ladder along the wall, and the horizontal distance from the wall to the support beam (0.6m) corresponds to "x" meters on the ladder.
Using the concept of similar triangles, we can set up the following proportion:
(Height of wall) / (Horizontal distance from wall to support beam) = (Length of ladder) / (Distance from bottom of ladder to support beam)
Plugging in the given values:
1.8 / 0.6 = (Length of ladder) / x
Simplifying the proportion:
3 = (Length of ladder) / x
To find the length of the ladder, we can use the Pythagorean theorem, which states that the square of the hypotenuse (ladder) is equal to the sum of the squares of the other two sides (height of wall and horizontal distance from wall to support beam).
Length of ladder = √(height of wall)^2 + (horizontal distance from wall to support beam)^2
Length of ladder = √(1.8)^2 + (0.6)^2
Length of ladder = √3.24 + 0.36
Length of ladder = √3.6
Length of ladder ≈ 1.897 m (rounded to three decimal places)
Plugging this value back into the proportion:
3 = 1.897 / x
Solving for "x":
x = 1.897 / 3
x ≈ 0.632 m (rounded to three decimal places)
So, the horizontal distance of the support beam from the bottom of the ladder is approximately 0.632 meters.
Suppose you write and solve an equation to determine the amount of money m you have in your bank account after several weeks. You find that m equals negative 36. Choose any of the following interpretations of this value that are correct.
Therefore , the solution of the given problem of equation comes out to be it mean that you owe 36 amount of money to bank.
What or who is the equation?When the equals sign (=) is used to denote equality, an algebraic theorem resembles a rule joining two statements. An algebraic equation is a factual assertion that shows the equivalence of multiple numerical variables. The values ob d + 6 and 12 are separated by an equal sign in the calculation data logger + 6 = 12. The number of syllables that correspond to each side of each letter can be expressed numerically. The message of a symbol is frequently its complete opposite.
Here,
Given :
After a few weeks, you create and calculate an equation
so determine how much money is in your bank account.
M equals -36, as you discover.
Thus,
It mean that you owe 36 amount of money to bank.
Therefore , the solution of the given problem of equation comes out to be it mean that you owe 36 amount of money to bank.
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Consider the following data drawn independently from normally distributed populations: (You may find it useful to appropriate table: z table or t table)
xˉ1 = −17.1
s1^2 = 8.4
n1=22
xˉ2 = −16.0
s2^2 = 8.7
n2 = 24
a. Construct the 90% confidence interval for the difference between the population means. Assume the population va unknown but equal. (Round final answers to 2 decimal places.)
confidence interval is __ to __
The 90% confidence interval for the difference in the population means is -2.51 to 0.31
Calculating the 90% confidence interval for the population mean differenceFrom the question, we have the following parameters that can be used in our computation:
xˉ₁ = −17.1
s₁² = 8.4
n₁ = 22
xˉ₂ = −16.0
s₂² = 8.7
n₂ = 24
Calculate the pooled variance using
P = (df₁ * s₁² + df₂ * s₂²)/df
Where
df₁ = 22 - 1 = 21
df₂ = 24 - 1 = 23
df = 22 + 24 - 2 = 44
So, we have
P = (21 * 8.4 + 23 * 8.7)/44
P = 8.56
Also, we have the standard error to be
SE = √(P/n₁ + P/n₂)
So, we have
SE = √(8.56/22 + 8.56/24)
SE = 0.86
The z score at 90% CI is 1.645, and the CI is calculated as
CI = (x₁ - x₂) ± z * SE
So, we have
CI = (-17.1 + 16.0) ± 1.645 * 0.86
This gives
CI = -1.1 ± 1.41
Expand and evaluate
CI = (-2.51, 0.31)
Hence, the confidence interval is -2.51 to 0.31
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Bob and Alice each have a bag that contains one ball of each of the colors blue, green, orange, red, and violet. Alice randomly selects one ball from her bag and puts it into Bob’s bag. Bob then randomly selects one ball from his bag and puts it into Alice’s bag. What is the probability that after this process the contents of the two bags are the same? (Hint: you can simplify your solution using "without loss of generality".)
The probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.
Without loss of generality, we can assume that Alice selects a ball from her bag and puts it into Bob's bag first.
At the start, there are a total of 5 balls in each bag, so the probability of Bob selecting the same ball that Alice put into his bag is 1/5. After this exchange, each bag now contains 6 balls.
Now, Alice randomly selects a ball from her bag, which has 6 balls in total. The probability of Alice selecting the same ball that Bob put into her bag is also 1/6.
To find the overall probability, we multiply the probabilities of both events occurring:
Probability = (1/5) \(\times\)(1/6) = 1/30.
Therefore, the probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.
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A triangle has angle measurements of 46° and 103°. What is the measurement of the third angle?
Answer: 31°.
Step-by-step explanation: All interior angles for a triangle should add up to 180°.
46° + 103° = 149°
To make 180°, we have to add another 31°, which is the third angle measurement. This is for the interior angles of a triangle.
Have a great day! :)
Answer:
31°
Step-by-step explanation:
In every triangle, the result of all three angles together has to be 180°.
So, 46+103= 149
180-149 = 31
how do i simplify "-2.5"?
Answer:
By adding
please mark me brainliest
If f(x) = 3x^2 +1 and g(x) = 1-x, what is the value of (f-g)(2)
Answer:
14
Step-by-step explanation:
Let's find (f-g)(x)
\(3x^{2} + 1 - (1-x)\\3x^{2} + 1 -1 + x\\3x^{2} + x\)
Now let's plug in x=2, so to find (f-g)(2)
\(3(2)^{2} + 2\\12 + 2 = 14\)
Plz helppppppp plzzzzz
Answer:
let me try
Step-by-step explanation: