Answer:
4.8 miles
Step-by-step explanation:
\(\frac{6}{55} = \frac{x}{44}\)
264 = 55x
x = 4.8 miles
how much is ( (8/4)+ 6) x 2?
Answer:
16
Step-by-step explanation:
((8/4)+ 6) x 2
(2 + 6) x 2 Divided 8 by 4
8 x 2 Added 2 and 6
16 Multiply
Additive Inverses are numbers that add to make-101/11
The aditive inverse of a number is given by itself multiplied by -1. Then if we have any number x its additive inverse is -x and their sum is:
\(x-x=0\text{ for all values of x}\)Then theanswer is the second option, 0.
x = 7
To isolate x, always do the opposite of the number next to it.
5x = 35
The opposite of "× 5" is "÷ 5," so we ÷ 5 on both sides
5x = 35
5x ÷ 5 = 35 ÷ 5
x = 7 How do you solve an equation like: 5x = 35
Answer:
opposite operation
Step-by-step explanation:
divide 35 by 5 so x=7
If incomes increase by 58% and the quantity demanded of tennis balls drops by 87% as a result, what is the income elasticity of demand for tennis balls?
The income elasticity of demand for tennis balls is -1.5. The negative sign indicates an inverse relationship between income and the quantity demanded of tennis balls, suggesting that tennis balls are an inferior good.
To calculate the income elasticity of demand, we need to use the formula:
Income Elasticity of Demand = Percentage change in quantity demanded / Percentage change in income
Given that incomes increase by 58% and the quantity demanded of tennis balls drops by 87%, we can plug these values into the formula:
Income Elasticity of Demand = (-87%)/58%
Simplifying the calculation:
Income Elasticity of Demand = -1.5
The income elasticity of demand for tennis balls is -1.5. The negative sign indicates an inverse relationship between income and the quantity demanded of tennis balls, suggesting that tennis balls are an inferior good.
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Builtrite has calculated the average cash flow to be $14,000 with a standard deviation of $5000. What is the probability of a cash flow being between than $16,000 and $19,000 ? (Assume a normal distribution.) 16.25% 18.13% 23.90% 2120%
The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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when the period of a sine function doubles the frequency
when the period of a sine function doubles, the frequency is halved (reduced by a factor of 1/2).
When the period of a sine function doubles, it means that the length of one complete cycle of the sine function has doubled.
The frequency of a sine function is defined as the number of cycles per unit of time.
If the period doubles, it means that the time it takes for one cycle of the sine function has increased.
Therefore, the frequency of the sine function decreases because fewer cycles occur within a given unit of time.
Mathematically, the relationship between period (T) and frequency (f) is given by:
f = 1 / T
If the period doubles (T' = 2T), the corresponding frequency (f') can be found by substituting T' into the equation:
f' = 1 / T'
= 1 / (2T)
= 1/2 * (1 / T)
= 1/2 * f
So, when the period of a sine function doubles, the frequency is halved (reduced by a factor of 1/2).
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what’s the answer to
2(s-10)=12
Answer: s = 16
2(s - 10) = 12
distribute the 2
2s - 20 = 12
add 20 to both sides
2s = 32
divide both sides by 2
s = 16
you can then check your work by putting in the 16
2 (16-10) = 12
2 (6) = 12
12 = 12
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
where c is constant
The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
Given a function:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
where c is a constant.
The solution to the question is shown below.
Step 1: We have given a function:
f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6
We have to find the number of words we have to write to express this function in words.
Step 2: Solution
f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶
Where,
et5+4t = exponential function
ln(t²+3c)⁷ = natural logarithmic function
te-1 = linear function
e⁶ = exponential function
Therefore, f(t) can be expressed in words as:
The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
Step 3: Conclusion
Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.
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Write the phrase as an algebraic expression6. nine less than a number n??
We need to write the equation for the expression "nine less than a number n":
\(9a cake recipe calls for 472 ml of milk. you dont have a metric measuring cup at home, so you need to convert milliliters to cups. you know that 1 l equals 1.06 quarts and that there are 4 cups in 1 quart. how many cups of milk will you need to use
Number of cups of milk that will you need to use is 2.001 cups
Total quantity of milk needed for the cake = 472 milliliter
we know
1 liter = 1.06 quarts
1 quart = 4 cups
Convert the given quarts to cups
Then 1.06 quarts = 4 × 1.06
Multiply the numbers
= 4.24 cup
Here the total quantity of milk needed for the cake is 472 milliliter
We have to use the unitary method here
1 liter = 4.24 cups
472 milliliter = 4.24 × 0.472
Multiply the numbers
= 2.001 cups
Therefore, he need 2.001 cups of milk to make a cake
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The two triangles are similar, solve for x.
Answer:
x = 10
Step-by-step explanation:
\(\frac{x-4}{4}\) = \(\frac{15}{x}\) ( x > 0 )
x(x - 4) = 15(4)
x² - 4x - 60 = 0
( x + 6 )( x - 10 ) = 0
x = 10
For a science project, a student plants seeds of 2 different varieties of corn plants. The table displays the
heights, in inches, of each of the corn plants after 8 weeks.
variety A
46
46
47
48
49
49
50
6
48
49
variety B
48
46 45
47
46 48
49
47 48
48
blThe mean height of the corn plants of variety A is 43.8 inches. Interpret the value of the mean in the
situation.
Answer:
The average inches of the height of the corn plants of variety A is 43.8 inches
Step-by-step explanation:
In mathematics or statistics, the mean refers to the average of numbers.
The mean is estimated by dividing sum of all the numbers by the count of the numbers.
For this question, the mean height of the corn plants of variety A of 43.8 inches is obtained as follows:
Sum of all the inches = 46 + 46 + 47 + 48 + 49 + 49 + 50 + 6 + 48 + 49 = 438 inches
Count of all the inches = 10
Mean = Sum of all the inches / Count of all the inches = 43.8 inches
The interpretation of this is that the average inches of the height of the corn plants of variety A is 43.8 inches.
A farmer has a garden which is 20.5 m by 8.5 m. He also has a tarp which is 5.50 m by 10 m. If he lays the tarp over part of his garden how much of the garden remains covered? Keep 2 significant digits in your final answer.
After laying the tarp over part of his garden, approximately 90.42 square meters of the garden remain covered.
To determine how much of the garden remains covered after laying the tarp, we need to calculate the area of the garden and the area covered by the tarp.
Area of the garden = Length × Width
= 20.5 m × 8.5 m
= 174.25 square meters
Area covered by the tarp = Length × Width
= 5.50 m × 10 m
= 55 square meters
To find the remaining covered area, we subtract the area covered by the tarp from the total area of the garden:
Remaining covered area = Area of the garden - Area covered by the tarp
= 174.25 square meters - 55 square meters
= 119.25 square meters
Rounding to two significant digits, approximately 90.42 square meters of the garden remain covered.
After laying the tarp over part of his garden, approximately 90.42 square meters of the garden remain covered.
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A manager at a factory finds that in a random sample of 200 clocks, 15 are defective. What percent of the clocks are defective?
Of the 10,000 clocks from which the sample was chosen, about how many clocks are probably not defective.
The next day the manager finds only 8 of the 200 randomly selected clocks are defective. About how many clocks out of the 10,000 produced that day are probably defective?
Answer:
Part A-7.5%
Part B-?
Part C-400 clocks
Step-by-step explanation:
part a-Write a sample ratio.-Divide the numerator by the denominator and multiply by 100.
part B-Use the sample ratio.-Multiply the sample ratio by the total number of clocks in the population.
Part C-Write a sample ratio.-Multiply the sample ratio by the total number of clocks in the population.
Percentage is a way to describe a part of a whole. Of the 10,000 clocks from which the sample was chosen, 400 clocks were defective.
What is Percentage?A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
A.) As it is given that a random sample of 200 clocks is taken out of 10,000 clocks, out of this 200, 15 clocks are defective. Therefore, the number of clocks that are defective in 200 random samples is 15, which can be written as,
Percentage of defective clock\(= \dfrac{15}{200} \times 100= 7.5\%\)
As we got the ratio of the defective clocks, therefore, the number of defective clocks in 10,000 clocks can be written as,
\(7.5\%\ of\ 10,000\\\\= 0.075 \times 10,000\\\\= 750\)
Hence, Of the 10,000 clocks from which the sample was chosen, 750 clocks were defective.
B.) As in the next day, the manager finds only 8 of the 200 randomly selected clocks are defective. Therefore,
Percentage of defective clock\(= \dfrac{8}{200} \times 100= 4\%\)
As we got the ratio of the defective clocks, therefore, the number of defective clocks in 10,000 clocks can be written as,
\(4\%\ of\ 10,000\\\\= 0.04\times 10,000\\\\= 400\)
Hence, Of the 10,000 clocks from which the sample was chosen, 400 clocks were defective.
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2) Find the 130th term of the sequence.
A)
202
B)
222
C)
242
D)
262
Answer:
202 I think so this is the right answer
SWAN85 help me baby please help me BABY!!!!!!!
Answer:
y=2
second page it is A
Step-by-step explanation:
y=2
second page it is A
Answer:
y=2
the first line
Step-by-step explanation:
Horizontal line when value of y is constant:
y=2 is required optionPoints
A (-5, -1), B(-2, 3), C(0, -1), D(4, -2), E(5, 1)
It matches the first lineWhat is the value of KL?
Answer:
KL = 40.5
Step-by-step explanation:
From the information given in the diagram, P is the centroid of the triangle. Therefore, applying the centroid theorem,
⅔ of KL = LP
LP = 27
Plug in the value of LP
⅔(KL) = 27
Multiply both sides by 3
2(KL) = 3*27
2(KL) = 81
Divide both sides by 2
KL = 81/2
KL = 40.5
Cooper is a salesperson who sells computers at an electronics store. He makes a base pay amount of $60 per day regardless of sales and he earns a commission of 1. 5% of the dollar amount of all sales that he makes. Write an equation for P,P, in terms of x,x, representing Cooper's total pay on a day on which he sells xx dollars worth of computers.
Answer:
P = 60 + .015x
Step-by-step explanation:
You shuffle a standard 52-card deck, and you deal yourself two cards. Write each of the indicated answers as a fraction. What is the probability both cards are aces
The probability of dealing yourself two aces from a shuffled 52-card deck can be expressed as a fraction.
To calculate the probability, we need to consider the total number of possible outcomes and the number of favorable outcomes.
The total number of possible outcomes is the number of ways to choose any two cards from the deck, which can be calculated using combinations. In this case, we have 52 cards, and we want to choose 2 cards, so the total number of possible outcomes is given by the combination formula: C(52, 2) = 52! / (2! * (52-2)!) = 1326.
The number of favorable outcomes is the number of ways to choose two aces from the deck. Since there are 4 aces in a deck, the number of favorable outcomes is given by the combination formula: C(4, 2) = 4! / (2! * (4-2)!) = 6.
Therefore, the probability of both cards being aces is the ratio of the number of favorable outcomes to the total number of possible outcomes: 6/1326, which can be simplified to 1/221.
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IF A:B = 5:6 and B:C = 7: 8 and C :D = 9:10, find the ratio
of A:B:C: D.
Answer:
A = 5 ; B = 6
B = 7 ; C = 8
C = 9 ; D = 10
convert C:D where C is equals to C in B:C
C = 144 ; D = 160
convert B:C where B is equals to B in B:C
C = 144 B = 126
convert A:B where B is equals to B in B:C
B = 126 A = 30
A = 30, B = 126, C = 144, D = 160
ratio
15:63:72:80Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-27. In the figure, AFJD, BGFE, CHGA, DIHB and EJIC are straight lines.
Find a + b + C + d + e.
An object's motion is described by the equation d=3sin(8*pi*t)-2. The displacement, d, is measured in meters. The time, t, is measured in seconds. 1) What is the object's position (in meters) at t=0? 2) What is the object's maximum displacement (in meters) from its t=0 position? 3) How much time(in seconds) is required for one oscillation? 4) What is the frequency (measured in Hz) of this oscillation?
1. When t = 0, the position (displacement) of the object can be found by substituting t = 0 into the given equation of motion:d = 3sin(8π(0)) - 2 = 0 - 2 = -2 meters.2. The maximum displacement of the object from its t=0 position can be found by taking the amplitude of the displacement function. Since the function is of the form d = Asin(ωt) - B, where A is the amplitude, ω is the angular frequency and B is the vertical shift, it can be seen that the amplitude in this case is A = 3 meters. So, the maximum displacement is 3 meters.3. The time taken for one oscillation can be found by dividing the period, T, of the oscillation by the number of oscillations in that period. The period of the oscillation is the time taken for one complete cycle of the sine wave, which is 1/8 seconds. Thus, the time taken for one oscillation is:1 oscillation = T/1/8 s = 8T s4. The frequency of the oscillation is the reciprocal of the period, which is f = 1/T. Thus, the frequency is:f = 1/T = 1/(1/8) Hz = 8 Hz.
Please asnwer the picture
Hide Time Remaining In determining whether or not the underlying assumptions in least squares regression have been met, which of the following statements is/are true? 1. If a residual plot has residuals that appear to be random scattered around the horizontal line at 0, then it is okay to assume that there is a linear relationship between the explanatory and response variables. II. If a residual plot has residuals that are spread further apart as the x variable increases, then the residuals do not have constant variability. OA. I only B. Both OC. II only OD. Neither
If a residual plot shows residuals that are randomly scattered around the horizontal line at 0, it suggests a linear relationship between the variables. The correct answer is A. I only.
The correct answer is A. I only. When assessing the underlying assumptions in the least squares regression, we look at the residual plot. If the plot shows residuals that appear to be randomly scattered around the horizontal line at 0, it indicates that there is a linear relationship between the explanatory and response variables.
This suggests that the assumption of linearity is met. However, the spread of residuals can vary, even in the presence of a linear relationship. Therefore, the presence of residuals that are spread further apart as the x variable increases do not necessarily violate the assumption of linearity. It indicates heteroscedasticity, which means the residuals do not have constant variability.
Hence, statement II is incorrect. Therefore, the correct answer is A. I only.
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David ran the yard dash in 7.2 seconds and won the event justin came in second with a time of 8.1 seconds how much better was davids time than justins
Answer:
david was. 9 seconds faster than Justin.
Step-by-step explanation:
8.1-7.2= .9
Answer:
0.9 seconds
Step-by-step explanation:
Since Justin came in slower, you would put his time first:
8.1 - 7.2
Doing that gets you 0.9
8. The 2% solution of tetracaine hydrochloride is already isotonic. How many milliliters of a 0.9% solution of . sodium chloride should be used in compounding the prescription? Tobramycin 0.5% Tetracaine hydrochloride Sol. 2% 15 mL Sodium chloride qs Purified water ad 30 mL Make isoton, sol. Sig. for the eye
To make the 2% solution of tetracaine hydrochloride isotonic, a 0.9% solution of sodium chloride should be used.
The amount of the 0.9% sodium chloride solution needed can be calculated by setting up a proportion based on the concentration percentages.
Let's assume x represents the volume of the 0.9% sodium chloride solution needed in milliliters.
Since the 0.9% solution is isotonic, it means that the concentrations of tetracaine hydrochloride and sodium chloride should be equal. Therefore, the proportion can be set up as follows:
(0.9 / 100) = (2 / 100) * (x / 30)
Simplifying the proportion, we have:
0.009 = 0.02 * (x / 30)
To solve for x, we can multiply both sides of the equation by 30 and divide by 0.02:
x = (0.009 * 30) / 0.02
x ≈ 13.5 mL
Therefore, approximately 13.5 milliliters of the 0.9% sodium chloride solution should be used in compounding the prescription to make the 2% tetracaine hydrochloride solution isotonic.
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Solve the following equation. |x − 12| + 6 = 56
Answer:
x = 62, -38 <-- there would be 2 answers because it's an absolute value equation
Step-by-step explanation:
|x − 12| + 6 = 56
- 6 = - 6
|x − 12| = 50
Positive side:
|x − 12| = 50 <--- remove absolute value sign
x - 12 = 50 <--- another side would be the negative side: x - 12 = - 50
+ 12 = + 12
x = 62 <--- 1st answerrr!!
Negative side:
x - 12 = -50
+ 12 = + 12
x = -38 <--- 2nd answerrr!!
Balance the following equation: CCl4 --> C + Cl2
The balanced equation is:
CCl₄ --> C + 2Cl₂
Define term term balancing of chemical equation?The law of conservation of mass states that when a chemical reaction takes place, the mass of the reactants and products should be equal.
As a result, during the chemical process, the number of atoms for each element remains constant. The chemical equation which it depicts the chemical reaction must be balanced as a result. When the total number of atoms found in the reactants and products sides of a chemical equation equals one, the equation is said to be balanced.Here is an equation that describes a chemical reaction:
CCl₄ --> C + 2Cl₂
Reactant = 1 atom of C and 4 atoms of Cl.Product = 1 atom of C and 2 atoms of Cl.Thus, add 2 atoms of Cl to balance the equation.
Then,
The balanced equation is:
CCl₄ --> C + 2Cl₂
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Helpppppppppppppppppp
Answer:
i'm not sure but i thing position c is correct answer
Guys that true?
when you’re dividing do you put the bigger number first and then the smaller one or the opposite because you get different answers
Answer:
it's true for example 10/5=2 or 5/10=0.5
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
You can divide any way you want but commonly you put the bigger number in front.
Step-by-step explanation: