The percentage of the class that are 13 years old can be found to be
How to find the percentage ?First, we need to find the total number of students in the given class which would be:
= Number of 13 year olds + Number of 15 year olds
= 21 + 27
= 48 students
The percentage of students who are aged 13 would therefore be:
= Number of 13 year old students / Total number of students in class x 100 %
= 21 / 48 x 100 %
= 0. 4375 x 100 %
= 43. 75 %
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Kim read b books last,month. This month she read 22 books. What expression show the total number of books Kim has rind I'm the past two,months
Answer:
22+b = t
Step-by-step explanation:
22+b= t, where t is the total number of books in the past two months.
It is a letter or symbol which represents a number
Answer:
A letter or symbol that represents a specific number, known or unknown is called a constant.
Step-by-step explanation:
if it helped u please mark me a brainliest :-/
What is the value of the expression, when x = 6?
X^3 + 4
please help I am so stuck it keeps saying it is wrong.
The options showing the front elevation of each prism are given as follows:
a) Prism X: Option B.
b) Prism Y: Option E.
What is the front elevation of a prism?The front elevation of a prism is defined as how we can see the prism looking at the front of it's shape.
Looking at the front of prism X, on the orange section, we see it as a right triangle pointing to the right, hence it is represented by option B.
Looking at the front of prism Y, on the orange section, we see it as an isosceles triangle, which is represented by option E.
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What is the circumference of
this circle?
d = 12 cm
circumference = [?] cm
Round your answer to 2 decimal places.
Answer
Enter
Answer:
Step-by-step explanation:
Circumference = π × diameter
3.14 = π
3,14 × 12 = 37.68 cm
John read 65% of his book. Hannah read 75% of her book. Each student read the same book. Who read the least?
John read the least.
We have,
We can find out who read the least by comparing the percentages of the book each student read.
John read 65% of the book, which means he has 35% of the book left to read.
Hannah read 75% of the book, which means she has 25% of the book left to read.
Since Hannah has a smaller percentage of the book left to read, she has read more of the book than John.
Therefore,
John read the least.
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Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x = 96.62, y= 94.75, r=0.879, P-value = 0.000, and ŷ = -2.59 + 1.01x, where x represents the IQ score of the twin born first. Find the best predicted value of ý given that the twin born first has an IQ of 109?
Answer:the best predicted value of ý when the twin born first has an IQ of 109 is 107.50
Step-by-step explanation:
Given the regression equation:
ŷ = -2.59 + 1.01x
We need to predict the value of ý when x (IQ score of the twin born first) is 109.
So we substitute x = 109 into the regression equation:
ŷ = -2.59 + 1.01(109)
ŷ = -2.59 + 110.09
ŷ = 107.50
Therefore, the best predicted value of ý when the twin born first has an IQ of 109 is 107.50.
27e+24 is equivalent to....
Answer:
The answer would be 3(9e+8)
10. Reena goes to a shop to buy a radio, costing Rs 2568. The rate of VAT is 7%. She tells the shopkeeper to reduce the price of the radio such that she has to pay Rs 2568, inclusive of VAT. Find the reduction needed in the price of radio.
Answer:
569
Step-by-step explanation:
because of the reduction price the amount will be 7 over hundred divided by the2568
Answer: 569
Step-by-step explanation: Got it in a question and is correct
What is the difference between n=0 4E(1+3n) and ? 0 2 5 6
The difference between the summations of these two sequence is zero.
To compute the difference between the summation of (1 + 3n) from n = 0 to 4 and the summation of (3i - 5) from i = 2 to 6, we can first evaluate each summation individually and then subtract the result of the second summation from the first.
The summation of (1 + 3n) from n = 0 to 4 can be written as:
∑(1 + 3n) = (1 + 3(0)) + (1 + 3(1)) + (1 + 3(2)) + (1 + 3(3)) + (1 + 3(4))
= 1 + 4 + 7 + 10 + 13
= 35
Similarly, the summation of (3i - 5) from i = 2 to 6 can be written as:
∑(3i - 5) = (3(2) - 5) + (3(3) - 5) + (3(4) - 5) + (3(5) - 5) + (3(6) - 5)
= 1 + 4 + 7 + 10 + 13
= 35
Therefore, the difference between the two summations is:
∑(1 + 3n) - ∑(3i - 5) = 35 - 35 = 0
This means that the sum of the first sequence is equal to the sum of the second sequence.
Correct Question :
What is difference between Σ(1+3n) from n = 0 to 4 and Σ(3i-5) from i = 2 to 6.
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Ella is trying to determine the side lengths of a triangle. She knows that the longest
side is three times longer than the shortest side. The medium side is ten more than
twice the shortest side. If the perimeter is 142 cm, how long is each side?
Answer:
the shortest side = 22 cm
the medium side = 54 cm
the longest side = 66 cm
Step-by-step explanation:
Let the shortest side = x
As the longest side is three times longer than the shortest side,
the longest side = 3x
As the medium side is ten more than twice the shortest side,
the medium side = 2x+10
the perimeter = 142
x+3x+2x+10 = 142
6x+10 = 142
6x = 142-10
6x = 132
x = 22
the shortest side = 22 cm
the longest side = 3*22 = 66 cm
the medium side = (2*22)+10 = 44+10 = 54 cm
for trailing zeroes, are they significant in both numbers that have a decimal point and ones that dont?
Trailing zeroes are significant in numbers that have a decimal point, but they are not significant in numbers that do not have a decimal point.
Trailing zeroes can have different levels of significance depending on whether the number has a decimal point or not. In a number without a decimal point, trailing zeroes are generally not significant.
For example, the number 1,200 could also be written as 1,200.0 or 1,200.00, but the additional zeroes do not change the value of the number and are therefore not significant.
On the other hand, in a number with a decimal point, trailing zeroes may be significant.
For example, the number 3.50 has two significant figures because the zeroes after the decimal point indicate that the measurement was taken to the nearest hundredth. Removing the zeroes would change the value and accuracy of the number.
Therefore, it is important to consider the context and purpose of the number when determining the significance of trailing zeroes.
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Find the area of a rectangle (3,4,7)
____________________________________
A = L × B × H= 7 × 4 × 3 = 84in²____________________________________
Answer: 84
Step-by-step explanation: Assuming you know ether equation for area—length × width × height… by plugging in the numbers to the equation, you get 3×4×7. When all is multiplied, you get a total of 84.
Hope this helps ^^
In 2015, there were 44.7 million people in Ukraine. 4 of the population were aged 65 or over. 25 How many people in Ukraine were aged 65 or over in 2015? Give your answer to the nearest million.
Almost 1.79 million population out of 44.7 million population is aged 65 or above.
It is given that in 2015, there were 44.7 million people in Ukraine. 4% of the population were aged 65 or above.
Assume that the population with age 65 or over in 2015 be {x}. Then, we can write that -
{x} = 4% of 44.7
{x} = (4/100) x 44.7
{x} = 1/25 x 44.7
{x} = 1.79 million
Therefore, almost 1.79 million population out of 44.7 million population is aged 65 or above.
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please help me solve
Answer:
23.6 years
Step-by-step explanation:
Given that a population is described by y = 82700e^(-0.00036t), you want to know the value of t when the population is 82000.
SolutionSubstitute the given number for y and solve for t:
82000 = 82700e^(-0.00036t)
820/827 = e^-0.00036t . . . . . . . . . . divide by 82700, simplify
ln(820/827) = -0.00036t . . . . . . . . take natural logs
t = ln(820/827)/-0.00036 ≈ 23.6 . . . . . divide by the coefficient of t
It will take approximately 23.6 years.
__
Additional comment
The problem statement tells us y₀ is 82700, so we used that in the given equation.
It's a bit odd that the population is reported in thousands of thousands. It could be described as 82.7 million, declinding to 82 million.
Ben was helping the school custodian set up chairs in the gym for an assembly. They needed to seat 180 students and put the same number of chairs in each row. The custodian suggested having 18 rows of chairs. After hearing the custodian's plan and doing some quick mental math, Ben suggested a different arrangement for the same number of seats. He explained that, by putting 5 more chairs in each row, they could have fewer rows, and students in the back row would be able to see better. How many rows will Ben's plan have? How many chairs were in each row of Ben's plan?
Answer:
He would have 12 rows with 15 chairs in each row.
Step-by-step explanation:
180 divided by 18 is 10
10 plus 5 is 15
180 divided by 15 is 12.
the mean, as a measure of central location, would be inappropriate for which one of the following? multiple choice incomes of lawyers ages of adults at a senior citizen center marital status of college students at a particular university number of pages in textbooks on statistics
The mean would be inappropriate as a measure of central location for data in option D: number of pages in textbooks on statistics, that has extreme outliers or is skewed.
Out of the options given, the number of pages in textbooks on statistics could potentially have extreme outliers, such as a textbook with significantly more pages than the rest of the sample. Therefore, the mean may not be the most appropriate measure of central location for this type of data. A better measure might be the median, which is less affected by extreme values.
In contrast, the mean would be an appropriate measure of central location for the incomes of lawyers, ages of adults at a senior citizen center, and marital status of college students at a particular university, as these data sets are less likely to have extreme outliers or be heavily skewed.
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Complete question:
the mean, as a measure of central location, would be inappropriate for which one of the following? multiple choice
incomes of lawyers
ages of adults at a senior citizen center
marital status of college students at a particular university
number of pages in textbooks on statistics
Consider the following incomplete deposit slip: Description Amount ($) Cash, including coins 15 00 Check 1 62 44 Check 2 27 83 Check 3 45 75 Subtotal ?? ?? Less cash received ?? ?? Total 62 23 How much cash did the person who filled out this deposit slip receive? a. $381.23 b. $451.02 c. $88.79 d. $436.02 Please select the best answer from the choices provided A B C D
The person who filled out the deposit slip received $88.79 in cash. The correct answer is option c.
To find out how much cash the person who filled out the deposit slip received, we need to fill in the missing amounts on the slip.
First, we need to calculate the subtotal by adding the amounts of the checks and cash:
Subtotal = 15.00 + 62.44 + 27.83 + 45.75
Subtotal = 151.02
Next, we need to determine the amount of cash received by subtracting the subtotal from the total:
Total = Subtotal - cash received
62.23 = 151.02 - cash received
To solve for cash received, we can subtract the total from the subtotal:
Cash received = Subtotal - total
Cash received = 151.02 - 62.23
Cash received = 88.79
Therefore, correct option is C.
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what should your ratio of rates have been for the grahams law experiment account for the differences
Graham's Law states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. So, for two gases A and B, the ratio of their rates of diffusion (rA/rB) can be expressed as: rA/rB = √(MB/MA).
In the Graham's Law experiment, the ratio of rates should have been calculated by dividing the rate of effusion/diffusion of gas A by the rate of effusion/diffusion of gas B.
The ratio of rates should ideally be equal to the square root of the reciprocal of the molar masses of the gases being compared. However, there may be differences due to experimental error, variations in temperature, pressure, and other factors that may affect the results. To account for these differences, it is important to repeat the experiment multiple times and take the average of the results.
Additionally, it may be necessary to adjust the experimental conditions to minimize any sources of error and ensure accurate measurements.
To determine the ratio of rates for the Graham's Law experiment, you can follow these steps:
1. Identify the two gases involved in the experiment and their molar masses.
2. Calculate the square root of the inverse molar masses for each gas.
3. Divide the result for the lighter gas by the result for the heavier gas.
Graham's Law states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. So, for two gases A and B, the ratio of their rates of diffusion (rA/rB) can be expressed as:
rA/rB = √(MB/MA)
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1.)
The center of a circle (h, k) is (6,2)
The radius (r) is 8
What is the correct equation of the circle in Standard Form.
(x - h)² + (y - k)² = r²
A.) (x+6)² + (y+2)² = 8²
B.) (x-6)² + (y-2)² = 8²
C.) (x-6)² + (y+2)² = 8²
D.) (x+6)² + (y-2)² = 8²
2.)
What is the center and radius of the circle given in the following equation in General Form?
x² + y² - 4x + 2y - 4 = 0
A.) Center (-2,-1) radius = 3
B.) Center (2,1) radius = 9
C.) Center (4,7) radius = 8
D.) Center (2,-1) radius = 3
A person invests 7000 dollars in a bank. The bank pays 5. 5% interest compounded monthly. To the , how long must the person leave the money in the bank until it reaches 13200 dollars?
A=P(1+r/n)^nt
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 13200\\ P=\textit{original amount deposited}\dotfill &\$7000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years \end{cases}[/tex]
[tex]13200 = 7000\left(1+\frac{0.055}{12}\right)^{12\cdot t} \implies \cfrac{13200}{7000}=\left(1+\frac{0.055}{12}\right)^{12t}[/tex]
[tex]\cfrac{66}{35}=\left(\frac{12+0.055}{12}\right)^{12t}\implies \cfrac{66}{35}=\left(\frac{12.055}{12}\right)^{12t}\implies \log\left( \cfrac{66}{35} \right)=\log\left[ \left(\frac{12.055}{12}\right)^{12t} \right] \\\\\\ \log\left( \cfrac{66}{35} \right)=t\log\left[ \left(\frac{12.055}{12}\right)^{12} \right]\implies \cfrac{\log\left( \frac{66}{35} \right)}{\log\left[ \left(\frac{12.055}{12}\right)^{12} \right]}=t\implies \boxed{11.56\approx t}[/tex]
Lines A and B are parallel A 1,2,50°,4 B 5, 6 ,78 ,m 2 = [?]°
To assess the accuracy of laboratory scale, a standard weight known to weigh 10 grams is weighed repeatedly. the weight is weighed 40 times. the mean result is 10.230 grams. the standard deviation of the scale readings is 0.020 gram. construct a 98% confidence interval for the mean of repeated measurements of the weight. what is the margin of error? round your answers to three decimal places.
To construct a 98% confidence interval for the mean of repeated measurements of the weight, we can use the formula:
Confidence interval = mean ± (t-value) x (standard error)
where the standard error is the standard deviation of the sample divided by the square root of the sample size, and the t-value is based on the degrees of freedom (n-1) and the desired level of confidence. Since we are given the sample mean, standard deviation, and sample size, we can plug in the values and solve for the confidence interval and margin of error.
First, we need to calculate the standard error:
Standard error = standard deviation / √n
Standard error = 0.020 gram / √40
Standard error = 0.00316 gram
Next, we need to find the t-value for a 98% confidence interval with 39 degrees of freedom. We can use a t-distribution table or calculator to find the t-value, which is approximately 2.423.
Substituting the values into the formula, we get:
Confidence interval = 10.230 ± (2.423)(0.00316)
Confidence interval = 10.230 ± 0.00766
Rounding to three decimal places, the 98% confidence interval for the mean weight is (10.222, 10.238) grams. The margin of error is half the width of the confidence interval, which is 0.00766/2 = 0.00383 grams
What is the perimeter of the triangle?
3m³ +4m²-5m
2m³ +3m² + 4m
5m³-5m²-5
Answer:
10m³ + 2m²- 1m - 5
Step-by-step explanation:
Add like terms together. I am busy I wish I could explain but I gtg. Please ask if you have any other questions!
and
Have a great day!!
Sauli rolled a fair number cube with 6 sides, each side
numbered 1-6. What is the probability that the number he
rolled was greater than 4?
Hint: How many numbers can he roll that would make this
trial a "success" or a "favorable outcome"?
A. 1/3
B. 1/4
C. 1/2
Answer:
A:1/3
Step-by-step explanation:
There are 6 possible outcomes when Sauli rolls the number cube, with each outcome having an equal probability of 1/6. To find the probability of rolling a number greater than 4, we need to count the number of favorable outcomes, which are the numbers 5 and 6.
Therefore, the probability of rolling a number greater than 4 is 2 favorable outcomes out of 6 possible outcomes, which simplifies to 1/3.
So the answer is A. 1/3.
Please help me with this homework
Answer:
50°
Step-by-step explanation:
96°+34°=130°
A whole triangle is made up of 180°
So 180°-130°= 50°
in a lake, there is a patch of lilypads. every day, the patch doubles in size. if it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half the lake? 47 days 24 days 12 days 36 days
If it takes 48 days for patch to cover entire lake, then it will take (a) 47 days to cover the half of lake.
The patch of Lilypad doubles in size every day, so, we use the exponential growth to represent its size.
Let the initial size of patch be = "P" and
Let the final size of the patch (when it covers the entire lake) be = "L",
So, we have , L = 2⁴⁸ × P,
We have to find out how long it takes for patch to cover half of lake.
Let the size of patch at that point be = "H", where "H" is half the size of L,
Which is written as : H = L/2 = 2⁴⁷ × P, ...equation(1)
Let the number of days to cover half lake be = "d",
So, we write equation to solve for the number of days it takes for the patch to reach size "H",
⇒ H = [tex]2^{d}[/tex] × P,
Substituting the value of "H" from equation(1),
We get,
⇒ 2⁴⁷ × P = [tex]2^{d}[/tex] × P,
Simplifying further,
We get,
⇒ 2⁴⁷ = [tex]2^{d}[/tex],
Since, the base is same, we can equate the power,
We get,
⇒ d = 47,
Therefore, it takes 47 days for the patch to cover half the lake, Correct option is (a).
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The given question is incomplete, the complete question is
In a lake, there is a patch of Lilypad. Every day, the patch doubles in size, if it takes 48 days for the patch to cover the entire lake, how long would it take for the patch to cover half the lake?
(a) 47 days
(b) 24 days
(c) 12 days
(d) 36 days
Which ratios have a unit rate of 3? Choose ALL that apply. Iready Level G
Answer:
Step-by-step explanation:
bottom middle, top middle, left bottom
You drive your go-kart 3 meters every 2 seconds and start at the starting line. The
derby is 25 meters long
Who is going to win the derby?
Answer:
To determine who will win the derby, we can divide the total distance (25 meters) by the distance covered in every 2 seconds (3 meters):
25 meters / 3 meters every 2 seconds = 8.33
This means that the go-kart will cover the distance 8 times and partially complete another cycle before reaching the finish line. Therefore, whoever completes the 9th cycle first will win the derby. Since we don't have any information about the other competitors, we cannot determine who will win the derby.
Step-by-step explanation:
in johns homeroom 1/3 of the students walk to school and 1/4 come by car. the remaining 15 come by school bus how many students are in his homeroom
By using the formed equation we can conclude that, there are 36 students in John's homeroom.
What is equation?
In mathematics, an equation is a statement that shows the equality of two expressions. An equation usually contains one or more variables, which are unknown values that can be solved for using mathematical operations.
Let's use x to represent the total number of students in John's homeroom.
According to the problem, 1/3 of the students walk to school and 1/4 come by car. That means:
(1/3)x + (1/4)x = number of students who don't come by school bus
(1/3)x + (1/4)x = total number of students - number of students who come by school bus
(1/3)x + (1/4)x = x - 15
To solve for x, we can combine the fractions:
(4/12)x + (3/12)x = x - 15
(7/12)x = x - 15
Next, we can isolate x on one side of the equation:
(7/12)x - x = -15
(-5/12)x = -15
x = (-15)/(-5/12)
x = 36
Therefore, there are 36 students in John's homeroom.
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