Answer:
5:6
Step-by-step explanation:
175/210
Divide both sides by 5
175/5 : 210/5
35 : 42
Divide both sides by 7
35/7 : 42/7
5 : 6
The ratio of 175 and 210 in its simplest form is; 5:6
What Is a ratio
A ratio is the simplest form to which the quotient of two numbers can be represented.
The ratio of 175 and 210 can be evaluated by considering their HCF, highest common factor.
Their HCF is 35;Hence, the ratio of 175 and 210 is ; 5:6
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an unbiased coin is tossed four times. what is the probability that coin lands heads up at least once? (round your answer to three decimal places.)
The probability of getting at least one head is 15/16.
What is probability?
The ratio of positive outcomes to all possible outcomes of an event is known as the probability.
Formula for probability = favourable outcomes/ total outcomes
Main body:
if 4 coins are tossed , total no. of outcomes = 2⁴ = 16
In a toss there are 2 outcomes T or H
so, Probability of getting Head = 1/2
The probability of getting at least 1 head = 1- probability of getting no heads
⇒1 - Probability of getting tail in 4 tosses
⇒ 1 - (1/2)⁴
⇒ 1 - 1/16
⇒ 15/16
So the probability of getting at least one head is 15/16.
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Grant just joined a new gym and signed up for a one-year membership. Membership fees can be paid in 12 monthly payments of $55, due at the beginning of each month or in one payment today. If the appropriate interest rate is 10%, how much should he pay today for the annual membership?
Grant should pay approximately $211.96 today for the annual membership, considering an interest rate of 10% and the option to pay in 12 monthly installments of $55 each.
To determine how much Grant should pay today for the annual membership, we need to calculate the present value of the 12 monthly payments of $55 each, considering an interest rate of 10%.
The present value (PV) can be calculated using the formula:
PV = C * (1 - (1 + r)^(-n)) / r
Where:
C = the monthly payment amount ($55)
r = the monthly interest rate (10% / 12 = 0.00833)
n = the number of payments (12)
Plugging in the values into the formula, we can calculate the present value:
PV = 55 * (1 - (1 + 0.00833)^(-12)) / 0.00833
PV ≈ 55 * (1 - 0.6806) / 0.00833
PV ≈ 55 * 0.3194 / 0.00833
PV ≈ 211.96
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Need help pleases 5 stars
Answer:
The third option is the correct answer
Step-by-step explanation:
I am a 100% sure.
Hope this helps....
Have a nice day!!!!
Two opposite angles of a parallelogram are 3x+4 and 5x-2 find measure of all angles of parallelogram
Answer:
=The opposite angles of a parallelogram are equal
=(3x+4)
=(5x-2)
=-2x=-6
=x=6+2
=x=3=
1st angle=3x+4=13
3rd angle=5x-2=13
=sum of adjacent side of angle is 180°
=Let the adjacent (2nd angle ) be y=
y+13°=180°
=y=180°-13°
=y=167°=
2nd angle=4th angle
=2nd angle=167°
=4th angle=167°
Step-by-step explanation:
This might be confusing, but I hope it helps <3
If a square's area is 110. What is the length of one side?
(20 Points)
Answer:
27.5
Step-by-step explanation:
Well for me i would divide 110 by 4 because there are 4 sides and that will be your answer
Kwahi had to buy a case of water for his teammates. The water was 4.99 for a 24-pack. What is the unit rate for one bottle of water
Answer:
Around 21 cents per bottle.
Good price!
Travis received a letter from his bank saying that his checking account balance fell below zero. His account transaction log is shown below. CHECK NO. DATE DESCRIPTION OF TRANSACTION PAYMENT DEPOSIT BALANCE --- 10/17 Beginning Balance --- --- $367.50 1125 10/18 CBC Audio (Headphones) $62.00 -62.00 $305.50 Line 1 1126 10/22 NY Sport (Basketball Shoes) $87.00 -87.00 $218.50 Line 2 Debit 10/25 Gary's Country Market $38.50 -38.50 $180.00 Line 3 1127 10/25 Iggy's Skate Shop (Skateboard) $188.00 -188.00 $8.00 Line 4 10/25 Cash Deposit (Birthday Money) $20.00 +20.00 $28.00 Line 5 Debit 10/30 McDonuts $5.95 -5.95 $22.05 Line 6 On which line did Travis make a mathematical error? Explain Travis's mistake and show the correct calculations.
Answer:
Line 3 Balance $(8)
Line 4 Balance $12
Line 5 Balance $ 6.05
Step-by-step explanation:
CHECK NO. DATE DESCRIPTION OF TRANSACTION PAYMENT DEPOSIT BALANCE --- 10/17
Beginning Balance --- --- $367.50 1125 10/18
CBC Audio (Headphones) $62.00 -62.00 $305.50
Line 1 1126 10/22 NY Sport (Basketball Shoes) $87.00 -87.00 $218.50
Line 2 Debit 10/25 Gary's Country Market $38.50 -38.50 $180.00
Line 3 1127 10/25 Iggy's Skate Shop (Skateboard) $188.00 -188.00 $-8.00
Line 4 10/25 Cash Deposit (Birthday Money) $20.00 +20.00 $12.00
Line 5 Debit 10/30 McDonuts $5.95 -5.95 $ 6.05
Travis made a mistake on line 3 where he had a cash of $ 180 but spent $ 188 and the ending balance shoul be negative 8 but he wrote only $ 8.
On the next line when he receives a deposit of $ 20 the negative $8 balance should be deducted from it but it is added as it is not negative.
Travis should have balance of $ 12 instead of $ 28 .
He then spents $ 5.95 which again deducted from $ 12 leaves only $ 6.05
But his wrong calculations depict balance of $ 22.05 which is incorrect.
Your anova is statistically significant. How will you determine which groups are different?.
If the ANOVA test is statistically significant, then we can determine which groups are different by means of the F statistic, which is defined by the ratio of the mean sum square to the average square error (none of the options are correct).
What is the ANOVA test?The ANOVA test can be defined as a strategy to assess when differences between two or even more groups and or populations in the same are statistically significant.
Moreover, the F statistic refers to the results of the ANOVA, which is used to show statistically significant differences between groups in the sample.
Therefore, with this data, we can see that the ANOVA test is used to determine when differences between groups in the sample are significant enough to explain a given working hypothesis, and it is associated with the F statistics.
Complete question:
Your ANOVA is statistically significant. How will you determine which groups are different?
Use planned or unplanned comparisons.
Look at what the means in each group are.
Conduct Levene's test.
None of the above
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A(n) _____ generally has a highly elliptical orbit. A. moon B. comet C. planet D. asteroid
Answer:
b
Step-by-step explanation:
Answer:
B comet
Step-by-step explanation:
Orbit of a Comet. Comets go around the Sun in a highly elliptical orbit. They can spend hundreds and thousands of years out in the depths of the solar system before they return to Sun at their perihelion. Like all orbiting bodies, comets follow Kepler's Laws - the closer they are to the Sun, the faster they move.
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Suppose a second, similar study had 1000 teens and that each gender was equally
epresented. Keeping the original conclusion that 17% of the male and 22% of the female
nternet users create their own blog, what percentage of teen bloggers would be female?
What percentage of teen bloggers would be male?
Answer:
If we assume that the proportion of male and female internet users in the second study is the same as the first study (i.e., 60% female and 40% male), and that the percentage of male and female internet users who create their own blog is the same as the first study (i.e., 17% for male and 22% for female), then we can calculate the percentage of teen bloggers who are female and male.
First, we can calculate the number of male and female internet users in the second study:
Number of female internet users = 1000 x 0.5 x 0.6 = 300
Number of male internet users = 1000 x 0.5 x 0.4 = 200
Next, we can calculate the number of female and male teen bloggers in the second study, based on the percentages from the first study:
Number of female teen bloggers = 300 x 0.22 = 66
Number of male teen bloggers = 200 x 0.17 = 34
Finally, we can calculate the percentage of teen bloggers who are female and male:
Percentage of teen bloggers who are female = (66 / 1000) x 100% = 6.6%
Percentage of teen bloggers who are male = (34 / 1000) x 100% = 3.4%
Therefore, in the second study, 6.6% of teen bloggers would be female and 3.4% of teen bloggers would be male.
Determine the intercepts of the line.
Answer:
x = (-8, 0)
y = (0, -6)
h(x) = x^2 - 4 - x
g(x) = 3x - 2
Find h(x) division sign g(x)
Answer:
g(x)=x
4
+3x
3
−x
2
−3x
Step-by-step explanation:
Find 15.75 ÷ 0.25 using a Giant One.
Answer:
its 63
Step-by-step explanation:
Answer:
\( \frac{15.75}{0.25} = \frac{1575}{25} \\ = 63\)
...............................
Which equation is equivalent to the given equation?
−4x = x² + 3
x² - 4x +3=0
x² - 4x - 3=0
x² + 4x - 3=0
x² + 4x +3=0
Answer: x² + 4x +3=0
Step-by-step explanation:
Add 4x to both sides.
An equation is shown.
23x = 24
What value of x makes the equation true?
Answer:
all of them are right answers
\(x = \frac{24}{23 \\ } \)
or
\(x = 1.04\)
or
\(x = 1 \frac{1}{23} \)
which error measure lets a forecaster know that the forecast is consistently high?
The mean forecast error (MFE) can indicate if a forecast is consistently high. MFE measures the average difference between the forecasted values and the actual values over a given period.
If the MFE consistently shows a positive value, it suggests that the forecast tends to be higher than the actual values on average. The mean forecast error (MFE) is a common error measure used by forecasters to assess the accuracy of their forecasts. It is calculated by taking the average of the differences between the forecasted values and the corresponding actual values.
If the MFE consistently yields a positive value, it indicates that the forecast tends to be consistently higher than the actual values. This suggests a systematic bias in the forecasting process, where the forecaster consistently overestimates the future outcomes. The magnitude of the MFE also provides insights into the degree of overestimation, with larger positive values indicating a more significant discrepancy between the forecasted and actual values. By identifying such consistently high forecasts, forecasters can make adjustments to improve the accuracy and reliability of their predictions.
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Temperature: The formula C= 5/9 (F-32) gives the temperature in degrees celsius for a given temperature in degrees fahrenheit. what is the temperature in degrees celsius when the temperature is 68 degrees fahrenheit?
Answer:
Use the formula C= 5/9 (F-32 degrees) to find the Celsius temperature that is equivalent to the 59 degrees Fahrenheit. Question 116085: Use the formula C= 5/9 (F-32 degrees) to find the Celsius temperature that is equivalent to the 59 degrees Fahrenheit. C=15 ANSWER.
Step-by-step explanation:
The formula C= 5/9 (F-32) gives the temperature in degrees celsius for a given temperature in degrees Fahrenheit, the temperature in degrees celsius would be 20° Celcius the temperature is 68 degrees Fahrenheit.
What is the kelvin scale of temperature?It is a scale of temperature used to measure the temperature, the kelvin scale of temperature is also known as the absolute scale of temperature.
The Standard International unit of thermodynamic temperature is the kelvin, often known less frequently as the degree Kelvin. The formal definition of one kelvin is 1/273.16 of the thermodynamic temperature of pure water's triple point.
It is impossible to have kelvin temperature in a negative value.
For the given problem for calculating the temperature in degrees Celcius
formula C= 5/9 (F-32) is used where C is the temperature in degrees Celcius and F is the temperature in degrees of Fahrenheit
As the given temperature in the fahrenheit scale is 68°
C= 5/9(68-32)
C= 20° Celcius
Thus, the temperature in degrees Celcius comes out to be 20°.
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Using the Gainesville Homes_Sp2019 file, run a multiple regression predicting price based on lot size, commute, year built, and days on Realtor.com Assume you are trying to determine if the slope of year built is different than 0: what is the p value? 0.8312 0.1733 O 0.3189 <0.0001
The p-value for testing whether the slope of year built is different than 0 in a multiple regression predicting price based on lot size, commute, year built, and days on Realtor.com is 0.3189.
To determine if the slope of year built is different than 0 in the multiple regression predicting price based on lot size, commute, year built, and days on Realtor.com using the Gainesville Homes_Sp2019 file, we need to look at the p-value associated with the coefficient for year built.
Assuming you have already run the multiple regression analysis, you can look at the coefficient table to find the p-value.
If you are using R software, you can use the summary() function after running the regression model to get the coefficient table and associated p-values.
From the given options, the p-value that indicates the slope of year built is different than 0 is 0.3189.
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Please Answer fast Enhancer 1 Find the temperature of the sun if pressure is 1.4x10 atm, density is 1.4 g/cc and average molecular weight of gases present there is 2 (R = 8.4 x 107 erg/mol/K) (a) 3.2 x 10'K (b) 2.4 x 10'K (c)1.2 x 10K (d) 1.8 x 107K
To find the temperature of the sun, we'll use the ideal gas law equation, which is PV = nRT. We're given pressure (P), density (ρ), average molecular weight (M), and the gas constant (R). First, we'll find the number of moles (n) and then solve for temperature (T). After the calulation the answer is found out to be option b which is approximately 2.4 x 10^7 K.
1. Calculate the number of moles (n) using the formula n = ρ/M.
n = 1.4 g/cc / 2 g/mol = 0.7 mol/cc
2. Rearrange the ideal gas law equation to solve for temperature (T): T = PV / nR
3. Plug in the values:
P = 1.4 x 10^10 atm
V = 1 cc (since we are considering 1 cc of the gas)
n = 0.7 mol
R = 8.4 x 10^7 erg/mol/K
T = (1.4 x 10^10 atm) x (1 cc) / (0.7 mol) x (8.4 x 10^7 erg/mol/K)
4. Perform the calculation:
T = 1.4 x 10^10 / (0.7 x 8.4 x 10^7) = 2.38 x 10^7 K
The temperature of the sun is approximately 2.4 x 10^7 K (option b).
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How do you solve an infinite arithmetic sequence?
We have explained all the steps to solve an infinite arithmetic sequence.
What is an arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term is the sum of the previous term and a constant called the common difference.
When it comes to solving an infinite arithmetic sequence, you can use the following formulas:
The n-th term of an arithmetic sequence can be represented as a+(n-1)d, where "a" is the first term, "d" is a common difference, and "n" is the position of the term in the sequence.
The sum of the first n terms of an arithmetic sequence is represented as S_n = n/2(2a + (n-1)d), where "a" is the first term, "d" is a common difference, and "n" is the number of terms.
If a sequence is infinite, the sum of all terms can be represented as S_inf = a/(1-r) where "a" is the first term and "r" is the common ratio (r=1+d)
Hence, we have explained all the steps to solve an infinite arithmetic sequence.
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the quotient of a number and -9 is increased by 10 the result is 11 what is the number?
Answer:
so the division of a number and -9 or
x/-9+10=11 or
(x/-9)+10=11
subtract 10 from both sides
x/-9=1
multiply both sides by -9
x=-9
Kindly help with the answer to the below question. Thank
you.
Find the splitting field p(x) = x² + x + 1 ∈z/((2))[x]
and list all its elements.
The elements of the splitting field are:
{0, 1, α, β, α+β, αβ, α+αβ, β+αβ, α+β+αβ}
To find the splitting field of the polynomial p(x) = x² + x + 1 in ℤ/(2ℤ)[x], we need to find the field extension over which the polynomial completely factors into linear factors.
Since we are working with ℤ/(2ℤ), the field consists of only two elements, 0 and 1. We can substitute these values into p(x) and check if they are roots:
p(0) = 0² + 0 + 1 = 1 ≠ 0, so 0 is not a root.
p(1) = 1² + 1 + 1 = 3 ≡ 1 (mod 2), so 1 is not a root.
Since neither 0 nor 1 are roots of p(x), the polynomial does not factor into linear factors over ℤ/(2ℤ)[x].
To find the splitting field, we need to extend the field to include the roots of p(x). In this case, the roots are complex numbers, namely:
α = (-1 + √3i)/2
β = (-1 - √3i)/2
The splitting field will include these two roots α and β, as well as all their linear combinations with coefficients in ℤ/(2ℤ).
The elements of the splitting field are:
{0, 1, α, β, α+β, αβ, α+αβ, β+αβ, α+β+αβ}
These elements form the splitting field of p(x) = x² + x + 1 in ℤ/(2ℤ)[x].
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The slope of the line shown in the graph is _____
and the y-intercept of the line is _____ .
The slope of the line shown in the graph is __2/3__
and the y-intercept of the line is __6___
How to find the slope and the y-intercept?The general linear equation is written as follows:
y = ax + b
Where a is the slope and b is the y-intercept.
On the graph we can see that the y-intercept is y = 6, then we can write the line as:
y = ax + 6
The line also passes through the point (-9, 0), replacing these values in the line we will get:
0 = a*-9 + 6
9a = 6
a = 6/9
a = 2/3
That is the slope.
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The water rate for a city in north carolina is $1.33 per 751 gallons of water used. a) what is the water bill if a resident of that city uses 40,000 gallons? b) how many gallons of water can a customer use if the water bill is not to exceed $130?
These are the specified parameters:
The water rate is $1.33 per 751 gallons.
a. Determine the water bill
The water bill = 40,000 gallons × \(\displaystyle \frac{\$1.33}{751\ gallons}\)
= \(\displaystyle\frac{\$53,200}{751}\)
= $70,84
b. Determine many gallons of water can a customer use
Many gallons = $130 : \(\displaystyle \frac{\$1.33}{751\ gallons}\)
= $130 × \(\displaystyle \frac{751\ gallons}{\$1.33}\)
= \(\displaystyle \frac{97,630}{1.33}\) gallons
= 73,406 gallons
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Help me please i need you help
The mean and standard deviation of the data sets are;
a. 60.83, 15.11
b. 44, 4.03
c. 7.2, 3.7
d. 114.4, 10.74
What is mean and standard deviation of data?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
The mean of a data is the average of the data across the points.
a. data set; 35, 50, 60, 75, 65, 80
mean = 60.83
standard deviation = 15.11
b. data set; 51, 48, 47, 46, 45, 43, 41, 40, 40, 39
mean = 44
standard deviation = 4.03
c. data set; 11, 7, 14, 2, 8, 13, 3, 6, 10, 3, 8, 4, 8, 4, 7
mean = 7.2
standard deviation = 3.7
d. data set; 135, 115, 120, 110, 110, 100, 105, 110, 125
mean = 114.4
standard deviation = 10.74
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Select the correct answer.
What is the sqare root of 75 in simplest form?
Answer:
75 = 25 x 3.
Step-by-step explanation:
this is the answer the picture above
The distance between towns A and B is 300 km. One train departs from town A and another train departs from town B, both leaving at the same moment of time and heading towards each other. We know that one of them is 10 km/hr faster than the other. Find the speeds of both trains if 2 hours after their departure the distance between them is 40 km.
Answer:
The speed of the slower train is 60km/hr or 80km/hr and the speed of the faster train is 70km/hr or 90km/hr.
i need an anwaser
to this question
The most appropriate measure of center is the mean which describes the average weight of oranges.
For the given data:
5,6,7,7,8,8,10,11,11,14,16,19,20,21
The most appropriate measure of center from the data given is the mean. The mean value gives the average weight of the oranges in the scenario given above.
The mean can be calculated thus :
(Sum of weight / Number of values)
Mean = (163 / 14)
Mean = 11.64
Hence, the most appropriate measure of center is the mean and it describes the average weight of oranges.
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A sample of n = 22 is taken and the sample mean is =35 and a sample standard deviation of s= 9.38. Construct a 95% confidence interval for the true mean, µ.
(33, 37)
(31.56, 38.44)
(30.84, 39.16)
(25.62, 44.38)
The answer is (B) (31.56, 38.44) which means we are 95% confident that the true population mean lies between 31.56 and 38.44.
The 95% confidence interval for the population mean, µ, is given by:
CI = ± tα/2 * (s/√n)
where is the sample mean, s is the sample standard deviation, n is the sample size, and tα/2 is the t-value with (n-1) degrees of freedom at the α/2 level of significance.
Here, = 35, s = 9.38, and n = 22. From the t-distribution table with (n-1) = 21 degrees of freedom and a 95% confidence level, we have tα/2 = 2.08.
Plugging in the values, we get:
CI = 35 ± 2.08 * (9.38/√22)
= (31.56, 38.44)
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Velocity is related to acceleration and distance by the following expression: v^2 = 2ax^P. Find the power p that makes this equation dimensionally consistent.
The power p that makes the equation dimensionally consistent is 1.
What is power?Power can be defined as the amount of work completed in a given time. Watt (W), which is derived from joules per second (J/s), is the SI unit of power.
To determine the power of p that makes the equation dimensionally consistent, we must analyze the dimensions of each term in the equation.
Let's look at the dimensions of the variables involved:
Velocity \((v): [L][T]^{-1}\) (dimension of length divided by time)
Acceleration (a): \([L][T]^{-2}\) (dimension of length divided by time squared)
Distance (x): [L] (dimension of length)
Now, let's analyze each term in the equation:
\(v^2: [L]^2[T]^{-2} \\ 2a: [L][T]^{-2} \\ x^p: [L]^p\)
For the equation to be dimensionally consistent, the dimensions of the left-hand side (v²) should be equal to the dimensions of the right-hand side
\((2ax^p)\)
Comparing the dimensions of the two sides, we have:
\([L]^2[T]^{-2} = [L][T]^{-2}[L]^p\)
On the left-hand side, we have dimensions of length squared divided by time squared, while on the right-hand side, we have dimensions of length to the power of (1 + p) divided by time squared.
Since the dimensions must be equal, we can equate the exponents of the length and time terms:
2 = 1 + p (from the exponents of [L] and [T])
Solving for p:
p = 2 - 1
p = 1
Therefore, the power p that makes the equation dimensionally consistent is 1.
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Through applying the principle of dimensional analysis, it is determined that 'p', the power making the expression v^2 = 2ax^p dimensionally consistent, equals 1.
Explanation:The given relation is v^2 = 2ax^p. Here, the left side (v^2) has dimensions of (Length^2/Time^2), the right side 2a has dimensions of (Length/Time^2) and x^p has dimensions of (Length^p). For the equation to be dimensionally consistent, the dimensions on both sides must be equal.
Therefore, we have (Length^2/Time^2) = (Length/Time^2) * (Length^p), which simplifies to Length^2 = Length^(1+p). For these two to be equal, p must equal 1.
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