Answer:
20%
Step-by-step explanation:
Convert fraction (ratio) 9 / 45
What is the equation of the line in point - slope form with slope 3/4and passes through the point (5, -8)?
Help me! Quick! Please. 25 points
Answer:
A. would be correct
Step-by-step explanation:
if 1 package is $8 and 2 packages cost $16
the ratio would be $8:1 so the unit rate would be $8 per package
Triangle FGHFGH is formed by connecting the midpoints of the side of triangle CDECDE. The lengths of the sides of triangle CDECDE are shown. What is the length of \overline{FH} FH
The length of the side overline(FH) when Triangle FGH is formed by connecting the midpoints of the side of triangle CDE is 5.
This problem can be solved using the Median Line theorem. The Median Theorem states that the medians of a triangle intersect at a point called the centroid which is two-thirds of the distance from the vertices to the midpoint of the opposite sides. This is what we will use to solve the given problem.
From the problem, we can conclude that points H and F are the midpoints of the sides CE and CD respectively. Hence, line HF is the median line of the triangle CDE. So, the length of the line HF/FH is going to be -
= (1/2)*ED
= 5
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2. - 2x - 9y = - 25
- 4x - 9y = -23
Answer:
x = -1
y = 3
Step-by-step explanation:
EQ 1: -2x - 9y = -25
EQ 2: -4x - 9y = -23
Multiply EQ 2 by -1: 4x + 9y = 23
Now solve:
-2x - 9y = -25
4x + 9y = 23
___________
2x = -2
x = -1
Now substitute:
-2(-1) - 9y = -25
2 - 9y = -25
-9y = -27
y = 3
Pablo rented a truck for one day. there was a base fee of $14.95 and there was an additional charge of 94 cents for each mile driven. Pablo had to pay $266.87 when he returned the truck. For how many miles did he drive the truck?
Answer:
Pablo drove 268 miles.
Step-by-step explanation:
266.87-14.95=251.92
251 .92÷0.94=268
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The radius of a cylindrical tank 4 m high is 14 How many kilolitres of water can be stored in the tank?(22/7)
Answer:
704 kilolitres (3 s.f.)
Step-by-step explanation:
First, we'll work out the volume of the cylinder tank in \(m^3\).
\(V_{cylinder}=\pi r^2h\\=\pi*4^2*14\\=224\pi (m^3)\)
Then, we'll convert this into kilolitres.
We know that 1 cubic metre is 1 kilolitre.
So \(224\pi\) cubic metres is approximately 704 kilolitres (3 s.f.)
harry invests £8000 in a savings account.
the account pays 2.8% compound interest per year
work out the value of her investment after 4 years
give your answer to the nearest penny
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds 8000\\ r=rate\to 2.8\%\to \frac{2.8}{100}\dotfill &0.028\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A = 8000\left(1+\frac{0.028}{1}\right)^{1\cdot 4}\implies A=8000(1.028)^4 \implies A \approx 8934.34\)
The diagonal of a square is x units. What is the area of the square in terms of x? One-half x squared square units x squared square units 2x square units One-half x square units
Answer: \(\frac{1}{2} x^{2}\)
Step-by-step explanation:
The area of a square is \(\frac{1}{2} d^{2}\)
Substituting d for x, you get 1/2x^2
Hope this helps <3
Answer:
1/2x^2 square units
Step-by-step explanation:
5 2/3 / 3/3
please help it’s due at 11:59 and it’s 10:17 and last day to turn in missing work
Answer:
34/9 or 3 7/9
Step-by-step explanation:
to do this u must turn 5 2/3 into an improper fraction first
5 2/3 is also 17/3
to divide you can multiply the first number by the second numbers reciprocal or flipped numbers
17/3 * 2/3
you flipped 3/2 to make it 2/3
for 17/3 * 2/3 just multiply across
34/9
then you can make that a mixed number
3 7/9
that is your answer
Answer:
the answer is 3 7/9
Step-by-step explanation:
in order to find the answer to this you need to change the mixed fraction into a improper fraction then do the reciprocal on 3/2 would would change to 2/3. Then, since you cant divide fractions you need to multiply 17/3×2/3 which would give you 34/9. But since 34/9 is improper, you need to change it to a mixed fraction and simplify if you can. So that means your final answer should be 3 7/9
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If earth travels 6.7 x 10(power of 4) mph in one orbit, then how far will it travel in 5 days
If earth travels 6.7 x 10(power of 4) mph in one orbit, the Earth will travel 8.04 x 10^6 miles in 5 days.
How to determine how far will it travel in 5 daysWe can begin by converting 5 days to hours since we were given the speed in miles per hour:
1 day = 24 hours
Therefore, 5 days = 5 x 24 = 120 hours
Now we can use the formula:
distance = speed x time
distance = (6.7 x 10^4) x (120)
distance = 8.04 x 10^6 miles
Therefore, Earth will travel 8.04 x 10^6 miles in 5 days.
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Can a frequency distribution have overlapping classes? Yes No Sometimes Can't determine. I need more information.
option (a) Yes, a frequency distribution can have overlapping classes.
Overlapping classes are used when we have a data set with values that overlap two or more classes or intervals.
In such cases, we can either consider the values to belong to only one of the classes, or we can divide the frequency of such values between two or more classes.
This means that the frequency of such values will be counted in each class it overlaps with.
Therefore, overlapping classes are a useful technique to deal with data that falls into more than one category.
In conclusion, a frequency distribution can have overlapping classes, and it is a common occurrence in certain types of data sets.
Therefore, option (a) is correct.
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At a carnival, the object of a game is to throw a dart, at the board and hit region III.
a. What is the probability that it hits region I?
The probability that it hits region I is 15%.
Probability:
Probability means the possibility of the required event.
The formula for the probability is written as,
P(E) = n(E)/n(S)
Where,
P(E) is the probability of an required event
n(E) is the number of possible outcomes
n(S) is the total number of events.
Given,
At a carnival, the object of a game is to throw a dart at the board and hit region III.
Here we need to find the probability that it hits region I.
Consider the board was look like the following figure.
Then based on the given figure,
First, we have to find the total area of the board and the area of the required region.
And then we have to compare it to calculate the Probability.
So, the total area of the board is,
=> total area of the board = (10 + 30)(10 + 15)
=> total area of the board = 1000 in²
Now, the The area of the region I is
=> Area = (10)(15)
=> Area = 150 in²
Therefore, the probability that it hits region I is
=> P = 150/1000
=> P = 15/100
=> P = 15%
Therefore, the probability that it hits region I is 15%.
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The entry fee to the fair is $4.00. Each ride requires a ticket that costs $0.50. Heidi spent a total of $12.00.
How many tickets did Heidi purchase?
A6
B32
C16
D24
Answer:
C. 16 is your answer
Step-by-step explanation:
the equation is 4 + 0.5x = 12 where x is the number of ride tickets
4 + 0.5x = 12
0.5x = 8
x = 16
Based on the cylinder shown, which statement(s) are correct?
A) If the volume is 577 cm^3, then the height of the cylinder is approximately 15 cm.
B) If the height is 10cm, then the volume of the cylinder is approximately 385 cm ^3.
C) If the height is 20 cm, then the volume of the cylinder is approximately 1070cm^3.
D)The equation V = π(3.5)^2h can be used to find the volume of the cylinder.
E) The equation h = V/π(7)^2 can be used to find the height of the cylinder.
Answer:
A
Step-by-step explanation:
V = π r² h Given d = 7 so the radius (r) = 3.5
577 = 3.14 (3.5)²h
577 = 38.465h
577/38.465 = h
15.00064 = h
15 cm ≈ h
Answer:
The correct answer is A,B,D
All the perfect squares and perfect cube numbers ranging from 1-500
6 - 4x = 6x - 8x + 2
Answer:
x = 2
Step-by-step explanation:
6 - 4x = 6x - 8x + 2
6 - 2 - 4x = 6x - 8x
4 - 4x = -2x
4 = 4x - 2x
4 = 2x
4/2 = x
2 = x
therefore x = 2
After evaluating the given expression, the value if x is 2.
What are expressions?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing. For instance, the mathematical equation for "4 added to 2" will be 2+4.So, 6 - 4x = 6x - 8x + 2:
Solve for 'x' as follows:
6 - 4x = 6x - 8x + 2-4x = -2x + 2 - 6-4x + 2x = -4-2x = -4x = -4/-2x = 2Therefore, after evaluating the given expression, the value if x is 2.
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The correct question is given below:
Solve for 'x': 6 - 4x = 6x - 8x + 2
This circle is centered at the origin, and the length of its radius is 5. What isthe equation of the circle?-1010--10-O A. x² + y² = 510B. (x-5)2 + (y- 5)2 = 25OC. x² +2²=5²O D.+-1
Given:
The center of the circle is the origin and the radius is 5.
Required:
Find the equation of the circle.
Explanation:
The equation of the circle when the center is (a,b) and the radius is r is given as:
\((x-a)^2+(y-b)^2=r^2\)The center (a,b) = (0,0)
radius r = 5
So the equation of the circle is:
\(\begin{gathered} (x-0)^2+(y-0)^2=(5)^2 \\ x^2+y^2=25 \end{gathered}\)Final Answer:
Option C is the correct answer.
my family of 5 needed 1 box of pasta for dinner which one of the following is an equivalent ratio for pasta to people
A. 2:10
B. 10:2
C. 4:5
D. 1.1
Answer:
10:2
Step-by-step explanation:
when 10:2 is reduced to its simplest whole no. ratio 5:1 is obtained
The area of a square between is 26 square. How long in one side of the bedroom
Answer:
5.09901951359 or you could round it
Step-by-step explanation:
If the area of a square is 26 and all sides of the square are equal to find this you do the square root of 26.
given the following information calculate the z test statistic, p-‐value and state whether or not to reject the null hypothesis based on the significance level.
Based on the given information and a significance level of 0.01, we do not have sufficient evidence to reject the null hypothesis H0: p = 0.39.
To calculate the z-test statistic and p-value, we need to follow these steps:
Step 1: Calculate the sample proportion (p-hat):
p-hat = X/n
where X is the number of successes (44 in this case) and n is the sample size (89).
p-hat = 44/89
Step 2: Calculate the standard error (SE):
SE = sqrt(p-hat * (1 - p-hat) / n)
Step 3: Calculate the z-score:
z = (p-hat - p) / SE
where p is the hypothesized population proportion under the null hypothesis (0.39 in this case).
Step 4: Calculate the p-value:
The p-value is the probability of observing a test statistic as extreme as the one calculated (or more extreme) if the null hypothesis is true.
To calculate the p-value, we will use the z-score and the standard normal distribution.
Step 5: Compare the p-value with the significance level (α) to make a decision about the null hypothesis.
Let's calculate the values:
Step 1:
p-hat = 44/89 ≈ 0.4944
Step 2:
SE = sqrt(0.4944 * (1 - 0.4944) / 89) ≈ 0.0547
Step 3:
z = (0.4944 - 0.39) / 0.0547 ≈ 1.918
Step 4:
To find the p-value, we need to calculate the area under the standard normal curve to the right of the z-score of 1.918. Using a standard normal table or a calculator, we find that the p-value is approximately 0.0281.
Step 5:
Comparing the p-value (0.0281) with the significance level (α = 0.01), we can see that the p-value is greater than the significance level. Therefore, we fail to reject the null hypothesis.
In conclusion, based on the given information and a significance level of 0.01, we do not have sufficient evidence to reject the null hypothesis H0: p = 0.39.
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Complete question is :
Given the following information, calculate the z test statistic, p-value and state whether or not to reject the null hypothesis based on the significance level.
H0: p = 0.39,
Ha: p > 0.39
X = 44, n = 89, α = 0.01
an architect designs a diagonal path across a rectangular patio. the path is 29 meters long. the width of the patio is x meters, and the length of the path is 5 meters more than the width. which equation can be used to find the dimensions of the patio? 0.5(x)(x 5)
The equation of the path to find the dimensions of the patio is x² + (x + 5)² = 841.
Here we have to find the equation of the dimensions of the patio.
Data provided:
the path = 29 meters
length of the path is 5 meters more than the width of the path.
So let us assume that the length of the path is x
with this, the width of the path is x + 5
The formula for the diagonal:
Diagonal² = length² + width²
Putting the data we have:
29² = x² + (x +5)²
841 = x² + (x+5)²
Therefore we get the equation as x² +(x + 5)² = 841.
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what number of laptops would have a percentile of 90% in this sequence of numbers? 24 32 27 23 33 33 29 25 23 36 26 26 31 20 27 33 27 23 28 29 31 35 34 22 37 28 23 35 31 43
The 26th term is 36, and the 27th term is 37. Therefore, the 90th percentile is 37, meaning that 90% of the laptops have a score of 37 or lower.
what is percentile ?
A percentile is a measure used in statistics to indicate the value below which a given percentage of observations or data points in a distribution fall.
In the given question,
To find the 90th percentile in this sequence of numbers, you need to arrange them in ascending order:
20 22 23 23 23 24 25 26 26 27 27 27 28 28 29 29 31 31 31 32 33 33 33 34 35 35 36 37 43
The 90th percentile represents the value below which 90% of the data fall. To find this value, you can use the formula:
90th percentile = ((90/100) * N)th term
where N is the total number of data points in the sequence.
In this case, N = 29 (there are 29 laptops in the sequence). Substituting the values into the formula, we get:
90th percentile = ((90/100) * 29)th term
= (0.9 * 29)th term
= 26.1th term
Since we can't have a fraction of a term, we can round up to the nearest integer to get the 90th percentile. The 26th term is 36, and the 27th term is 37. Therefore, the 90th percentile is 37, meaning that 90% of the laptops have a score of 37 or lower.
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How many times does 34 go into 309
Answer:
9 times
Step-by-step explanation:
A submarine is at a depth of 30m. It descends another 20m and then rises
40m. What is its final depth?
the answer is 10m deep after rising
why are these triangles congruent?
........help me........
Using the formula of volume of rectangular prism;
1. The volume of the rectangular prism is 3672cm³
2. The volume of the rectangular prism is 630in³
3. The volume of the rectangular prism is 3744ft³
What is the volume of the rectangular prism?The volume of a rectangular prism can be calculated by multiplying its length (l), width (w), and height (h). The formula for the volume of a rectangular prism is:
Volume = length × width × height
V = l × w × h
By substituting the given values for the length, width, and height into the formula, you can calculate the volume of the rectangular prism.
1. To find the volume of the rectangular prism, we have to substitute the value into the formula;
v = 9 * 24 * 17
v = 3672cm³
2. The volume of the rectangular prism is given as;
v = 4.5 * 14 * 10
v = 630in³
3. The volume of the rectangular prism is given as;
v = 8 * 12 * 39
v = 3744ft³
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The pearson correlation is calculated for a sample of n = 25 individuals. what value of df should be used to determine whether or not the correlation is significant?
The correlation is a significant non-zero value.
The number of samples is n.
n = 25
The correlation of the coefficient is r.
r = -0.40
When correlation is significant,
\(H _{0} : p = 0\)
When correlation is non-zero,
\(H _{ \alpha } : p ≠0\)
The test statistic is,
\(TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } \)
\( = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } \)
\( = \frac{ - 1.918 }{ \sqrt{0.84} } \)
= -2.093
The test statistic is -2.093.
The correlation is,
\(H _{ \alpha } : - 2.93 ≠0\)
The correlation is not equal to zero and is significant.
Therefore, the correlation is a significant non-zero value.
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Samuel's parents own a chocolate shop, and today he gets to help make the nut truffles. Each truffle starts with one of 4 kinds of nuts and is dipped in one of 3 kinds of chocolate. How many different nut truffles can they make?
simplify 1/4(12x-8)-(5x-1)
Answer:
b
Step-by-step explanation:
create an integral that will determine the volume of the solid obtained by rotating the region bounded by about the line . you do not need to evaluate or simplify! do the three following steps in order, then start your solution!
An integral that will determine the volume of the solid obtained by rotating the region bounded by about the line is V = ∫ 2π(x - 3)((y² - 2) - x) dx
To find the volume of the solid, we can use the method of cylindrical shells. We'll divide the region into infinitely thin vertical strips and rotate each strip around the axis of rotation to form a cylindrical shell. The volume of each cylindrical shell can be calculated as the product of its height, circumference, and thickness.
Now, let's establish the limits of integration. Since we are rotating the region around the line x = 3, the thickness of each cylindrical shell will vary from x = -1 to x = 2, as these are the x-coordinates where the curves y = x and x = y² - 2 intersect. Therefore, our integral will have the limits of integration from -1 to 2.
Next, we need to determine the height of each cylindrical shell. This is given by the difference between the two curves y = x and x = y² - 2. So, the height of each cylindrical shell is (y² - 2) - x.
The circumference of each cylindrical shell is the distance around its curved surface. Since the axis of rotation is x = 3, the distance from the axis to the curve y = x is x - 3. Therefore, the circumference of each cylindrical shell is 2π(x - 3).
The thickness of each cylindrical shell is an infinitesimally small change in x, which we'll call dx.
Now we can set up the integral to find the volume. The volume of the solid can be calculated by integrating the product of the height, circumference, and thickness of each cylindrical shell over the limits of integration:
V = ∫ 2π(x - 3)((y² - 2) - x) dx
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Complete Question:
Create an integral that will determine the volume of the solid obtained by rotating the region bounded by y=x and x=y² −2 about the line x=3.