Answer:
A. 68 units2
Step-by-step explanation:
First of all to solve this problem we have to know the formula to calculate the surface area of the cone
A = area
r = radius = 4
L = 13
π = pi
A = π*r² + π*L*r
we replace with the known values
A = π * (4u)² + π * 13u * 4u
A = 16π u² + 52π u²
A = 68π u²
The surface area of the cone is 68π u²
Keith's height and his nephews height was at a ratio of 15:7 then, keith's Height increased by 16% and his nephews height doubled. If Keith is now 34cm taller than his nephew, what is their total current height?
Answer:
314 cm
Step-by-step explanation:
If Keith's height is 15x and his nephew's height is 7x, we can write the following equation:
1.16 * 15x = 34 + 7x * 2 -- (We get the 1.16 from the 16% increase)
17.4x = 34 + 14x
3.4x = 34
x = 10 so Keith's current height is 1.16 * 15 * 10 = 174 cm and his nephew's height is 174 - 34 = 140 cm for a total current height of 174 + 140 = 314 cm.
If Josh can run 1.5 miles in 12 minutes, how long will it take him to run a mile?
Answer:
It would take him 8 minutes
It takes Caroline 1/5 of an hour to walk a mile. Four of Caroline's friends time themselves on their own walks of different lengths.*David: walked 1/2 of a mile in 2/5 of an hour
*Jeanette: walked 1/2 of a mile in 1/10 of an hour
*Kay: walked 1/5 of a mile in 1/2 of an hour
*Mark: walked 1/3 of a mile in 3/5 of an hour
Which friend is walking at the same rate as Caroline?
A.David
B.Jeanette
C.Kay
D.Mark
Answer:
jeanette
Step-by-step explanation:
The cost to make each T-shirt is $10. You estimate that you will
sell 50 shirts. If you want to make a profit of at least $250, what
price will you charge for these T-shirts? Show your solution in two
different ways.
The price per T-shirt should be at least $15 to achieve a profit of $250.
To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.
Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.
Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.
Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.
Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.
By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.
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don claims that perpendicular lines are lines that intersect such that at least one of the angles is a right angle.
whis statement below is yes or no?
a. intersecting lines allow for the creation of four angles with a common vertex (yes/no)
b. if one of the angles is a right angle,the vertical to it must also be a right angle (yes/no)
c. because linear pairs are complementary,the remaining two angles must also be right angles (yes/no)
Answer:
a) intersecting lines allow for the creation of four angles with a common vertex. No
When two lines intersect in only one point, there will be created four quadrants, and in each quadrant, we will have an angle, and the vertex is the intersection point of the two lines. But we have another type of intersection, if we have two equal lines, those lines will intersect on all their points, and in this case, we will not have 4 angles.
b) if one of the angles is a right angle, the vertical to it must also be a right angle. Yes (Where the vertical refers to the one above/below)
When we have an intersection of two lines, two adjacent angles are always supplementary (So the sum of the measures of both angles will add up to 180°).
Then if one is 90°, the other is X:
90° + X = 180°
X = 180° - 90° = 90°
The other angle is also a right angle.
Then we can conclude that the vertical angle must also be a right angle.
c) Because linear pairs are complementary, the remaining two angles must also be right angles No
Here we should use the same reasoning as above, but the pairs are not complementary, they are supplementary, so this statement is wrong.
Hoodies at Old Navy are sold at a 30% markup during the month of September. If the original price of a hoodie is $23.00, what is the amount of the markup?
By working with the given percentage, we can see that the amount of the markup is $6.90
What is the amount of the markup?
Suppose that the original price is P, and we have a markup (in percentage form) of X, then the amount of the markup is:
M = P*(X/100%)
Here we know that the original price of a hoodie is P = $23.00, while the percentage of the markup is 30%.
Then the amount of the markup in these hoodies is:
M = $23.00*(30%/100%)
M = $23.00*0.3
M = $6.90
The amount of the markup is $6.90
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(7x^{5} -4x^{4} +2x^{2} -3)-(6x^{4} +9x^{3} -7x^{2} +12)
The round off errors when measuring the distance that a long jumper has jumped is uniformlydistributed between 0 and 4.1 mm. Round values to 4 decimal places when possible.a. The mean of this distribution isb. The standard deviation isC. The probability that the round off error for a jumper's distance is exactly 2.6 isP(x = 2.6)d. The probability that the round off error for the distance that a long jumper has jumped isbetween 0.7 and 1.2 mm isP(0.7 <3 <1.2)e. The probability that the jump's round off error is greater than 2.72 isP(x > 2.72) =f. P(x > 1.7 x > 0.7) =g. Find the 43rd percentile.h. Find the minimum for the upper quarter.
The area of the mean for a unformly distribution is gievn below
\(\text{Mean}=\frac{a+b}{2}\)Given that a is the minimum or lowest value and b is the maximum or highest value
From the question given,
a= 0; b=4.1
The mean of this distribution is as shown below
\(\begin{gathered} \text{Mean}=\frac{0+4.1}{2} \\ \text{Mean}=\frac{4.1}{2} \\ \text{Mean}=2.05 \end{gathered}\)Hence the mean of this distribution is 2.05
The standard deviation of the uniformly distribution is given by the formula below:
\(s_d=\sqrt[]{\frac{(b-a)^2}{12}}\)The standard deviation is as shown below:
\(\begin{gathered} s_d=\sqrt[]{\frac{(4.1-0)^2}{12}} \\ s_d=\sqrt[]{\frac{4.1^2}{12}} \\ s_d=\sqrt[]{\frac{16.81}{12}} \\ s_d=\sqrt[]{1.400833} \\ s_d=1.183568 \\ s_d=1.1836(\text{correct to 4 decimal place)} \end{gathered}\)Hence, the standard deviation is 1.1836 to the nearest 4 decimal place
The probability of exactly 2.6 is 0. This is because the probability of finding an exact number of a uniform distribution is 0
c. The probability that the round off error for a jumper's distance is exactly 2.6 is
P(x = 2.6) = 0
The probability that the round off error for the distance that a long jumper has jumped is
between 0.7 and 1.2 mm P(0.7 <3 <1.2) is as shown below:
\(\begin{gathered} P(0.7d. Hence, probability that the round off error for the distance that a long jumper has jumped isbetween 0.7 and 1.2 mm P(0.7 <3 <1.2) is 0.1220 correct to four decimal place
The probability that the jump's round off error is greater than 2.72 is P(x > 2.72). This can be solved as shown below
\(\begin{gathered} P(x>2.72)=(4.1-2.72)(\frac{1}{4.1-0}) \\ =1.38\times\frac{1}{4.1} \\ =1.38\times0.2439024 \\ =0.336585\approx0.3366(nearrest\text{ 4 decimal place)} \end{gathered}\)e. Hence, the probability that the jump's round off error is greater than 2.72 is P(x > 2.72) = 0.3366
P(x > 1.7 x > 0.7) is as shown below:
\(\begin{gathered} P(x>1.7\text{ /x>0.7)=}\frac{4.1-1.7}{4.1-0.7} \\ =\frac{2.4}{3.4} \\ =0.705882 \\ \approx0.7059(4\text{ decimal place)} \end{gathered}\)f. Hence, P(x > 1.7 / x > 0.7) = 0.7059 correct to 4 decimal place
The 43rd percentile is
\(\begin{gathered} 43\text{ \% of the the maximum value} \\ =\frac{43}{100}\times4.1 \\ =0.43\times4.1 \\ =1.763 \\ 1.7630(4\text{ decimal place)} \end{gathered}\)g. Hence, the 43rd percile is 1.763
The minimum for the upper quarter is as shown below
\(\begin{gathered} \frac{3}{4}of4.1 \\ =0.75\times4.1 \\ =3.075 \end{gathered}\)h. Hence, the minimum for the upper quarter is 3.075
In the morning, the number of ducks at the reservoir was 80. By noon, the reservoir had 135 ducks. What was the percent of change in the number of ducks? Round your answer to the nearest whole percent.
Answer:
60 percent
Step-by-step explanation:
number of ducks in morning=80
ducks in after noon=135
for percentage
80/135=0.5925=0.60
0.60*100=60 percent
Circles Test
Assume that lines that appear tangent are tangent. Find the value of the variables,
208
A. a = 40; b=130; c = 70
B. a = 36; b=140; c = 70
Ca = 20; b=160; C = 90
D. a = 40; b=140; c = 90
Answer:
\(D. a = 40; b=140; c = 90\)
Step-by-step explanation:
\(a=2(20)\\\\=40\)
---------------
\(b=180-40\\\\=140\)
---------------
\(c=90\)
--------------------------
hope it helps...
have a great day!!
select the slope of the line that joins the pair of points. a. (9, 10) and (7, 2) 1 of 5. 4 b. (-8, -11) and (-1, -5) 2 of 5. select choice c. (5, -6) and (2, 3) 3 of 5. select choice d. (6, 3) and (5, -1) 4 of 5. select choice e. (4, 7) and (6, 2) 5 of 5. select choice
The required slopes are:
(a) slope = 4
(b) slope = 6/7
(c) slope = -3
(d) slope = 4
(e) slope = -5/2
We know that,
When a line passing through (x₁, y₁) and (x₂, y₂)
Then the slope of the line be,
slope (m) = (y₂ - y₁) / (x₂ - x₁)
Using this formula, calculate the slope for each given points
a. (9, 10) and (7, 2)
⇒ slope (m) = (2 - 10) / (7 - 9)
= -8/-2 = 4
So, the slope is 4.
b. (-8, -11) and (-1, -5)
⇒ slope (m) = (-5 - (-11)) / (-1 - (-8))
= 6/7
So, the slope is 6/7.
c. (5, -6) and (2, 3)
⇒ slope (m) = (3 - (-6)) / (2 - 5)
= 9/-3
= -3
So, the slope is -3.
d. (6, 3) and (5, -1)
⇒ slope (m) = (-1 - 3) / (5 - 6)
= -4/-1
= 4
So, the slope is 4.
e. (4, 7) and (6, 2)
⇒ slope (m) = (2 - 7) / (6 - 4)
= -5/2
So, the slope is -5/2.
Therefore, the slope of the line that joins (-8, -11) and (-1, -5) is 6/7.
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if v=5 x=38 and y=-7 find w
Answer:
incomplete question friend
in a standard deck of 52 cards (4 suits, 13 numbers per suit), how many hands can we be dealt 5 cards that do not share a number
Answer: 1287
Step-by-step explanation:
define and distinguish among positive correlation, negative correlation, and no correlation. how do we determine the strength of a correlation?
Calculating the correlation coefficient, which runs from -1 to 1, will reveal how strong a correlation is.
Positive Correlation, A relationship between two variables such that as one variable increases, the other variable also increases.
Negative Correlation, A relationship between two variables such that as one variable increases, the other variable decreases.
No Correlation, A relationship between two variables such that there is no relationship or pattern between the two variables.
The strength of a correlation can be determined by calculating the correlation coefficient, which ranges from -1 to 1. A value of -1 indicates a perfect negative correlation, a value of 1 indicates a perfect positive correlation, and a value of 0 indicates no correlation. The closer the correlation coefficient is to either -1 or 1, the stronger the correlation is.
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Find the sum of a third of (a+b) and a fifth of (a-b)
Step-by-step explanation:
As per linear equation, the required sum is \(\frac{2(a+4b)}{15}\).
What is a linear expression?A linear expression is an expression where the variable has the highest power of 1.
Given liner expression is:
\(\frac{a+b}{3}-\frac{a-b}{5}\\= \frac{5(a+b)-3(a-b)}{15}\\= \frac{5a+5b-3a+3b}{15}\\= \frac{2a+8b}{15}\\= \frac{2(a+4b)}{15}\)
Therefore, the required sum is \(\frac{2(a+4b)}{15}\).
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Find the lenght of the unknown sides in the figure
Answer:
7 cm
Step-by-step explanation:
Find the length of the unknown sides in the figure
We take
12 - 5 = 7 cm
So, b = 7cm
the united company had 15 applications for funding this year. if 8 of these applications can be funded, how many different lists of successful applications are there
A company received 15 funding applications and want to select 8 of them to be funded. The number of different lists of successful applications is 6,435
Suppose we have n objects in total and we want to select r objects among total objects, the number of ways they can be selected is given by the combination formula:
ⁿCr = n! / [r! (n-r)!]
Data from the problem:
n = total applications = 15
r = number of selected applications = 8
Hence, the number of different lists of successful applications is:
¹⁵C₈ = 15! / [8! (15-8)!]
= 15! / [8! 7!]
= 6,435
Thus, the number of different lists can be selected is 6,435
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Which of the following is the form factor of a standard Parallel connector? A. DB-9. B. DB-15. C. DB-25. D. DIN-6.
The form factor of a standard Parallel connector is DB-25.
A Parallel connector is a type of interface commonly used for connecting devices such as printers, scanners, and external storage devices to a computer. It allows for the simultaneous transmission of multiple bits of data through separate data lines. The form factor refers to the physical shape and configuration of the connector.
Option A, DB-9, is incorrect because DB-9 connectors are commonly used for serial communication, not parallel communication. They have 9 pins arranged in two rows and are typically used for applications such as RS-232 serial ports.
Option B, DB-15, is also incorrect as DB-15 connectors are commonly used for video graphics (VGA) connections, not parallel communication. They have 15 pins arranged in three rows and are commonly found on older computer monitors.
Option D, DIN-6, is also not the correct form factor for a standard Parallel connector. DIN-6 connectors are typically used for MIDI (Musical Instrument Digital Interface) connections or other audio applications. They have 6 pins arranged in a circular configuration.
The correct option is C, DB-25. The DB-25 connector, also known as a "D-sub 25" or "D-subminiature 25," is a type of connector commonly used for parallel communication interfaces. It has 25 pins arranged in two rows, with the pins surrounded by a D-shaped metal shield. The DB-25 connector is typically used for printer ports, parallel ports, and other parallel communication applications.
Therefore, the form factor of a standard Parallel connector is DB-25.
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Becky sells wedges of cheese at the local farmers' market. To make the wedges, she cuts a big 5-pound block of cheese into 16 pieces.
How much does each wedge of cheese weigh?
Given the following equilateral triangle,what is X?
Answer:
I could be wrong on this BUT
Step-by-step explanation:
4x+10=30
-10=-10
4x = 20
x= 5
Determine the formula, then calculate the cash ratio. (Enter the cash ratio to two decimal places, X.XX.)
Cash and cash equivalents $60,000
÷
Total current liabilities $75,000
=
Cash ratio 0.80
The cash ratio is 0.80, or 0.80:1, which means that the company has $0.80 in cash and cash equivalents for every $1 of current liabilities that it owes.
What is the cash ratio?The cash ratio is a financial ratio that measures the ability of a company to pay off its current liabilities using only its cash and cash equivalents.
The formula for the cash ratio is:
Cash Ratio = (Cash and Cash Equivalents) / (Total Current Liabilities)
Using the information given in the question:
Cash and cash equivalents = $60,000
Total current liabilities = $75,000
Plugging these values into the formula:
Cash Ratio = $60,000 / $75,000 = 0.80
Therefore, the cash ratio is 0.80, or 0.80:1, which means that the company has $0.80 in cash and cash equivalents for every $1 of current liabilities that it owes.
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a manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.7 years, and standard deviation of 0.5 years. the 8% of items with the shortest lifespan will last less than how many years? answer
The 8% of items with the shortest lifespan will last less than 2.08 years.
The question tells us that the lifespan of the items follows a normal distribution with a mean (μ) of 2.7 years and a standard deviation (σ) of 0.5 years. In other words, we can model the distribution of lifespans using the formula for a normal distribution:
f(x) = (1 / (σ × √(2π))) × exp(-((x - μ)² / (2σ²)))
where x is the lifespan we want to find, f(x) is the probability density function, and exp is the exponential function.
Now, we want to find the lifespan that corresponds to the 8th percentile, or the value at which 8% of the items have a shorter lifespan. To do this, we need to find the z-score that corresponds to the 8th percentile.
The z-score is a measure of how many standard deviations a value is away from the mean, and can be calculated using the formula:
z = (x - μ) / σ
where x is the value we want to find the z-score for. We can rearrange this formula to solve for x:
x = z × σ + μ
To find the z-score that corresponds to the 8th percentile, we can use a standard normal distribution table or a calculator that can look up z-scores for us. For example, we can use the "invNorm" function in Excel to find that the z-score for the 8th percentile is approximately -1.41.
Now, we can plug in the values we know into the formula we derived earlier to find the lifespan (x) that corresponds to this z-score:
x = -1.41 × 0.5 + 2.7 = 2.08 years.
Therefore, the 8% of items with the shortest lifespan will last less than 2.08 years.
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what is the decimal equivalent of the hex number 0x3f
The decimal equivalent of the hex number 0x3F is 63.
To convert the hex number 0x3F to its decimal equivalent, we need to multiply each digit by the corresponding power of 16 and sum them up.
Starting from the rightmost digit, we have:
The digit 'F' represents the decimal number 15.The digit '3' represents the decimal number 3.Now, we multiply each digit by the corresponding power of 16:
The digit 'F' is in the 1's place, so we multiply it by 16^0, which is 1.The digit '3' is in the 16's place, so we multiply it by 16^1, which is 16.Finally, we sum up the results:
(15 * 1) + (3 * 16) = 15 + 48 = 63
Therefore, the decimal equivalent of the hex number 0x3F is 63.
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how would you solve this equation?
Answer:
19,188
Step-by-step explanation:
hope this helps ;)
The main idea behind statistical inference is that: a. without statistics we would have no way of determining if an effect is taking place in any given experiment. b. through the transformation of data we can derive many conclusions about our sample.
c. through the use of sample data we are able to draw conclusions about the population from which the data was drawn. d. when generalizing results to a population you must make sure that the correct statistical procedure has been applied.
The main idea behind statistical inference is that through the use of sample data, we are able to draw conclusions about the population from which the data was drawn (option c).
Statistical inference allows us to make inferences and draw conclusions about a larger population based on the analysis of a smaller representative sample.
By collecting data from a sample, we can use statistical methods to analyze and summarize the information. These methods include estimating population parameters, testing hypotheses, and making predictions.
The key assumption underlying statistical inference is that the sample is representative of the larger population, allowing us to generalize the findings to the population as a whole.
Statistical inference provides a way to make reliable and informed decisions, identify patterns and relationships, and make predictions about future observations based on the available data. It allows researchers, scientists, and decision-makers to make evidence-based conclusions and draw meaningful insights from limited observations.
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I need help asap please
Answer:
The answer is C. Its graph goes through the origin
Step-by-step explanation:
I hope this helps you :)
how to subtract a whole number from a mixed fraction?
Three consecutive even integers have the property that when the product of the first two is taken, the result is four less than the square of the third one. What are the integers?
The three consecutive even integers are -2, 0 and 2.
How to calculate the value?Let the three consecutive even integers be x, x+2 and x+4.
Since the product of the first two is taken, the result is four less than the square of the third one. This will be:
x(x + 2) = (x + 4)² - 4
x² + 2x = x² + 8x + 16 - 4
x² + 2x = x² + 8x + 12
Collect like terms
x² - x² + 2x - 8x - 12
-6x - 12 = 0
-6x = 12.
Divide
x = -12/6
x = -2
x + 2 = -2 + 2 = 0
x + 4 = -2 + 4 = 2
They're -2, 0, and 2.
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What type of transformation has occurred from f(x) to g(x) on the graph below? (please help ASAP will give brainliest!!)
Rotation
None of these
Reflection
Translation
Answer:
defenitely not reflection im thinking either a or b leaning more towards a tho
Step-by-step explanation:
Answer:
ROTATION
Step-by-step explanation:
I GOT IT CORRECT ON TEST :))
Concept 9.3: Find the value of x in the circle.
Answer:
x=4.5
Step-by-step explanation:
MAB=MBC
AB=BC
3x+2=5x-7
7+2=5x-3x
9=2x
x=9/2
x=4.5
hope it helps..
have a great day!!
Answer:
x = 4.5
Step-by-step explanation:
here's your solution
=> AB = BC. ( both arc are equal )
=> 3x + 2 = 5x - 7
=> 3x - 5x = - 7 - 2
=> - 2x = - 9
=> x = 9/2
=> x = 4.5
hope it helps