Answer:
apples = 9
Oranges = 15
Step-by-step explanation:
Let the apples = x
Let the oranges = y
x + y = 24
x/y = 3/5 Cross multiply
5x = 3y Divide by 5
x = 3/5 y Substitute for x in x + y = 24
3/5 y + y = 24 Change 3/5 to a decimal
0.6 y + y = 24 Combine
1.6 y = 24 Divide by 1.6
y = 24/1.6
y = 15
x + y = 24 Substitute for y
x + 15 = 24 Subtract 15
x = 24 - 15
x = 9
The variance and standard deviation can never be
zero
negative
smaller than the mean
larger than the mean
The variance and standard deviation can never be negative. However, they can be zero if there is no variability in the data. It is possible for the variance and standard deviation to be smaller or larger than the mean depending on the spread of the data.
The variance and standard deviation can never be negative.
1. Variance is a measure of how spread out the data points are from the mean. It is calculated by finding the average of the squared differences from the mean. Since squares are always positive or zero, the variance cannot be negative.
2. Standard deviation is the square root of the variance. Since the square root of a negative number is not a real number, the standard deviation cannot be negative either.
It is worth noting that both variance and standard deviation can be zero if all data points are the same, and they can be smaller or larger than the mean, depending on the data distribution.
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a wise man once said "500 reduced by 4 times my age is 200." what is his age?
Answer: Well, when the wise man said "500 reduced by 4 times my age is 200." A wise women came up to him and responded " Your age is 75"
Step-by-step explanation:
If 500 reduced by 4 times your age is 200, then the equation
500 − 4x = 200
Take away 200 from both sides of the equation.
Add 4x to both sides of the equation.
Divide both sides of the equation by 4, you get 75 = x.
So, if 500 reduced by 4 times your age is 200, then you are 75.
Answer:
Step-by-step explanation:
let the age of old man be x
given word problem in equation form=
500-4x=200
500-200=4x
300/4=x
75=x
Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can she buy? 2 bottles 5 bottles 20 bottles 25 bottles
Mrs. Thomas has $71.00 to purchase bottles of juice for her class. If the bottles of juice cost $3.55 each, how many bottles can she buy?
2 bottles
5 bottles
20 bottles
25 bottle
the is c 20 bottles
PLEASE HELP ILL GOVE BRAINLIEST!!!
a box will be used to ship number cubes. the dimensions of the box are h=6 in, width=10 in, length= 4 in. the number cubes have sides that each measure 1/2 in. how many number cubes can fit in the box?
Answer:
120
Step-by-step explanation:
Find the volume of the box by finding the area of the base then multiplying it by the height then divide by 1/2
Find the perimeter of the image below
Answer:
46
Step-by-step explanation:
Answer:
26.1
Step-by-step explanation:
Took the same test lol
SLOPE OF THE LINE DRAWL ON THE GRAPH
The slope of the given line is expressed as: Slope = 2
How to find the slope of the line?The slope of a line is defined as a measure of its steepness. Mathematically, the line slope is calculated as "rise over run" that is (change in y divided by change in x).
The formula for slope between two coordinates is expressed as:
Slope = (y₂ - y₁)/(x₂ - x₁)
The two coordinates we will use from the graph are:
(4, 0) and (0, -8)
Thus:
Slope = (-8 - 0)/(0 - 4)
Slope = 2
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Divide the polynomial by the binomial with or without remainder
(y^(2)-5y+4)÷(y-4)
Answer:
(y-1)
Step-by-step explanation:
simplified you split y^2-1y+-4y+4 this is further simplified by splitting equation into y(y-1) -4(y-1) this leaves you with (y-4)(y-1)/(y-4) y-4 will cancel out and you are left with y-1
Find the slope of the line from the pair of points (1, 4) , (5,7)
A. 3/2
B. 3/4
C. 4/3
D. -3/4
SOMEONE please give me motivation for school--
DNENEF JEB i have Fs like WHyyywe NEED schOOL
Answer:
My friend, you have to look further than how stressful school presently is. I advice you to find something you love while you're young and devote your time to it. As a high school senior, I am super into computers and I practice game design as a hobby. you need to get something that drives you. also you gotta practice study especially if you wanna make it into college. Stay strong man
Answer:
I can't add anything beacuse of copyright
A bag of marbles contains 16 blue, 8 green, 9 red, 12 yellow and 5 black marbles. What is the probability of drawing a green marble?
Answer:
the probability of drawing a green marble is 4/25 (16% or 0.16)
Step-by-step explanation:
Total: 16+8+9+12+5= 50
# of green marbles: 8
Event G, such that a green marble is drawn:
P(G)= 8/50
= 4/25 (16% or 0.16)
The percentage of measurements that are above the 39th percentile is.
The percentage of measurements that are above the 39th percentile is 61%.
To calculate the percentage of measurements above the 39th percentile, we need to find the complement of the percentile value. The 39th percentile represents the value below which 39% of the measurements fall. Therefore, the complement of the 39th percentile is the percentage of measurements above that value. Since the total percentage adds up to 100%, subtracting 39% from 100% gives us the percentage of measurements above the 39th percentile, which is 61%.
In summary, the percentage of measurements that are above the 39th percentile is 61%. This means that 61% of the measurements are higher than the value corresponding to the 39th percentile.
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What is the percentage of measurements that fall above the 39th percentile?
Find the distance between the pair of points: (3,-4) and (5,1).
1.) Identify the similar triangles in each figure. Explain why they are similar and use the given information to find x and y.
2.) The area of a rectangle is 108 cm2. The ratio of the width to the length is 3:4. Find the length and the width.
Figure (a) have similar triangles, while figure (b) do not; and the length and the width of the rectangle are 12 cm and 9 cm,
Identifying the similar triangles in each figure.Figure (a)
The similar triangles in this figure are
ABC and AED
This is because:
The triangles have similar corresponding sides and congruent angles
Also, ABC is divided by 3 to get AED
So, we have
x = 15/3 = 5
y = 10/3
Figure (b)
The triangles in this figure are not similar triangles
The length and the width of the rectangleWe have
Area = 108
Width : Length = 3 : 4
So, we have
Width = 3/4Length
The area is
Area = Length * Width
Area = Length * 3/4Length
Length * 3/4Length = 108
3/4Length² = 108
Length² = 144
Length = 12
Recall that
Width = 3/4Length
Width = 3/4 * 12
Width = 9
Hence, the length and the width of the rectangle are 12 cm and 9 cm, respectively
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jennifer has 64 fair coins. she tosses all the coins. any coin that lands on tails is tossed again. coins that land on tails on the second toss are tossed a third time. what is the expected number of coins that are heads at the end?
The expected number of coins that are heads at the end after Jennifer has tossed 64 fair coins and those that landed on tails were tossed again is 32. the expected number of coins that are heads at the end is 48.
Here is a detailed explanation:Jennifer tosses 64 coins, and each coin has an equal chance of landing on either heads or tails. Thus, the probability that any one coin lands on heads is 0.5, and the probability that it lands on tails is also 0.5.When Jennifer tosses the 64 coins, some of them will land on tails.
Those coins will be tossed again. However, the probability of getting heads or tails for these coins is still 0.5 since the coins are fair.Therefore, the probability that a coin that has already been tossed and landed on tails to land on heads the second time is also 0.5.
The same applies to the third toss. The probability that a coin will land on heads or tails is 0.5.The total number of coins that land on tails during the first toss is given by
64*0.5 = 32.
Since these coins are tossed again, the expected number of coins that land on tails for the second toss is given by
32*0.5 = 16.
The remaining coins that landed on heads during the first toss are not affected. Thus, the expected number of coins that landed on heads during the first toss is
64 - 32 = 32.
The total number of coins that landed on heads during the first toss is given by 32.
Adding the expected number of coins that land on heads during the second toss (16),
the expected number of coins that land on heads is
32 + 16 = 48.
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(1) You deposit $2,500 in a bank account that pays an APR of 3.55% and
compounds interest monthly. How much money will you have after 6 years?
If you deposit $2,500 in a bank account that pays an APR of 3.55% and compounds interest monthly, after 6 years, the future value in the account will be $3,092.49.
How is the future value determined?The future value can be determined using the FV formula that compounds the present value using the FV factor as follows:
FV = PV (1 + r)^nt.
The future value can also be computed using an online finance calculator as follows:
N (# of periods) = 72 months (6 years x 12)
I/Y (Interest per year) = 3.55%
PV (Present Value) = $2,500
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $3,092.49
Total Interest = $592.49
Thus, the initial deposit of $2,500 will become $3,092.49 in 6 years at 3.55% compounded monthly.
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Roxanne has 142 songs on her MP3 player Tessa has 11 times as many songs as Roxanne so how many songs does Tessa have?
Hurry I need this :(
Answer:
142×11=1152
Step-by-step explanation:
hope it helps you:)
his question is based on data for a random sample of 638 air routes in the United States collected by a Smith School faculty member. Use the MS Excel output in the question posted on the course web-site in the Exercise Set 10 folder, under Files (sorry, the MS Excel output will not re-produce easily in Canvas/ELMS), based on a simple regression analysis with FARE (average fare for an air route, in $) as the response variable and DISTANCE (length of an air route, in miles) as the explanatory variable, to answer/complete Parts a through f c. State the null and alternative hypotheses to test whether the slope coefficient for DISTANCE is significantly greater than zero A. Null: rho < or = 0; Alternative: rho > 0 B. Null: beta > or = 0; Alternative: beta < 0 C. Null: beta < or = 0; Alternative: beta > 0 D. Null: rho > or = 0; Alternative: rho < 0
The null hypothesis to test whether the slope coefficient for DISTANCE is significantly greater than zero is "beta < or = 0" (C), and the alternative hypothesis is "beta > 0".
Based on question, we want to test if the slope coefficient for DISTANCE is significantly greater than zero using a simple regression analysis.
To do this, we need to state the null and alternative hypotheses.
The correct hypotheses in this case are:
Null hypothesis (H0): beta <= 0
Alternative hypothesis (H1): beta > 0
So, the correct answer is option C:
C. Null: beta <= 0; Alternative: beta > 0
In this case, the null hypothesis states that the slope coefficient (beta) for DISTANCE is less than or equal to zero, meaning there is no positive relationship between DISTANCE and FARE.
The alternative hypothesis states that the slope coefficient (beta) is greater than zero, indicating a positive relationship between DISTANCE and FARE.
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The null hypothesis states that the slope coefficient (beta) is less than or equal to zero, meaning there is no positive relationship between FARE and DISTANCE. The alternative hypothesis states that the slope coefficient is greater than zero, suggesting a positive relationship between FARE and DISTANCE.
The null and alternative hypotheses to test whether the slope coefficient for DISTANCE is significantly greater than zero are:
Null hypothesis: β ≤ 0
Alternative hypothesis: β > 0
Option A represents the null and alternative hypotheses for testing the correlation coefficient (ρ), which is not applicable in this scenario. Option B represents the null and alternative hypotheses for testing whether the intercept is significantly greater than zero. Option C represents the null and alternative hypotheses for testing whether the slope coefficient is significantly less than or equal to zero. Option D represents the null and alternative hypotheses for testing whether the correlation coefficient is significantly less than or equal to zero. Therefore, the correct answer is A. Null: β ≤ 0; Alternative: β > 0.
To test whether the slope coefficient for DISTANCE is significantly greater than zero, you should state the null and alternative hypotheses as follows:
Null hypothesis (H0): β ≤ 0
Alternative hypothesis (H1): β > 0
This corresponds to option C in your question. The null hypothesis states that the slope coefficient (beta) is less than or equal to zero, meaning there is no positive relationship between FARE and DISTANCE. The alternative hypothesis states that the slope coefficient is greater than zero, suggesting a positive relationship between FARE and DISTANCE.
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If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect: A. the size of the confidence interval to decrease. B. the sample size to increase. C. the size of the confidence interval to increase. D. the size of the confidence interval to remain the same.
If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect the size of the confidence interval to increase.
This is because a higher level of confidence requires a wider interval to encompass a larger range of possible values. The sample size does not necessarily need to change to adjust the confidence interval. Therefore, the correct answer is C. the size of the confidence interval to increase.
If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect C. the size of the confidence interval to increase. This is because a higher confidence level requires a larger range to ensure the true population parameter is captured with more certainty.
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Give an example of an equation that has no solution equation and explain why it is a no solution equation.
Answer:
x = x + 7
Step-by-step explanation:
In this equation, it is saying that x is equal to itself plus something else (7). This equation does not make sense at all because x cannot equal to something that is bigger or smaller than itself. If 7 is added to x, like the right-hand side of the equation, it cannot be equal to x from the left-hand side of the equation, so there is no solution to the value of x in this equation.
answer. ill give brainliest to whoever answers first correctly
Answer:
∠ W = 30°
Step-by-step explanation:
using the cosine ratio in the right triangle
cos W = \(\frac{adjacent}{hypotenuse}\) = \(\frac{WY}{WX}\) = \(\frac{2\sqrt{21} }{4\sqrt{7} }\) = \(\frac{1}{2}\) \(\sqrt{\frac{21}{7} }\) = \(\frac{\sqrt{3} }{2}\) , then
∠ W = \(cos^{-1}\) ( \(\frac{\sqrt{3} }{2}\) ) = 30°
Which of the possibilities below represents the mood and figure of the following argument: Some dictators are not warmongers. Since no dictators are egomaniacs, and some egomaniacs are warmongers. Group of answer choices
AEO - 1
IEO - 1
EIO - 4
IOE - 2
The mood of the argument is categorical and the figure is EIO. To determine the mood and figure of the given argument, we'll first identify the premises and conclusion, and then assign the appropriate categorical proposition to each statement.
The argument can be rewritten as:
Premise 1: Some dictators are not warmongers. (Some D are not W)
Premise 2: No dictators are egomaniacs. (No D are E)
Premise 3: Some egomaniacs are warmongers. (Some E are W)
Conclusion: Some dictators are not warmongers. (Some D are not W)
Now, let's assign the categorical propositions to each statement:
Premise 1: I (Some D are not W)
Premise 2: E (No D are E)
Premise 3: I (Some E are W)
Conclusion: O (Some D are not W)
The mood of the argument is IEO.
Next, we'll determine the figure by looking at the placement of the middle term (E) in the premises:
Premise 2: No D are E (subject-middle term)
Premise 3: Some E are W (middle term-predicate)
The figure is 1 because the middle term is the subject of one premise and the predicate of the other premise.
So, the mood and figure of the argument are IEO-1. Therefore, the correct answer is:
IEO - 1
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Which expressions are equal to ? Check all that apply.
Answer:
3/9 + 5/9 and 4/9 + 4/9 are both equal to 8/9.
Answer:
Second option and fifth option
Step-by-step explanation:
Since they are all with a denominator of 9 we do not need to do anything else except add them up.
The first one is equal to 7/9
Second is 8/9
Third is 6/9
Fourth is 9/9
Fifth is 8/9
A local parking garage charges $5 for the first hour and $1.25 for each additional hour. Write an equation in function notation form. Tell me how much it would cost if you left your car for a total of 6 hours.
I need help with this
Answer:It is the last one 4 or J or D whatever
Step-by-step explanation:
just make it all over 24 to make it easier glad I could help :)
Answer:
The answer is J.
Step-by-step explanation:
14, 13 3/4, 13 2/3, 13 3/8, 13 1/4 is the answer
According to the simple quantity theory of money, a change in the money supply of 6.5% would, holding velocity constant, lead to: a) a 6.5% change in real GDP. b) a 6.5% change in nominal GDP.
c) a 6.5% change in velocity.
d) a 6.5% change in aggregate supply.
According to the simple quantity theory of money, a change in the money supply would lead to a proportional change in nominal GDP. Therefore, the correct answer is (b) a 6.5% change in nominal GDP.
The simple quantity theory of money states that the total spending in an economy is determined by the money supply and the velocity of money (the rate at which money circulates in the economy).
According to this theory, if the money supply increases by 6.5%, and assuming velocity remains constant, the total spending in the economy, which is represented by nominal GDP, would also increase by 6.5%.
This is because the increase in money supply leads to more money being available for spending, which in turn drives up the nominal GDP. It's important to note that this theory assumes a constant velocity of money, which may not always hold true in practice.
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which trig function is used to find the angle if the length of the hypotenuse and of the adjacent side are know
The cosine functions are used to find the angle if the length of the hypotenuse and the length of the adjacent side is known.
The ratio of the adjacent side of a right triangle to the hypotenuse is called the cosine and is given the symbol cos.
The cosine function in a triangle is the ratio of the adjacent side to that of the hypotenuse.
The general formula for cosine is:
cos α = Adjacent Side/Hypotenuse
Cosine has a few properties, which are periodic and even.
It is the ratio of the length of the side that is ADJACENT the angle to the length of the longest side, or HYPOTENUSE, of the triangle.
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I need assistance in this math
Answer:
original price $450 saved $145 the percent its sold for is 70%
Factor out the GCF from the following polynomials.
1) 45m^5-25m^4-20m^2-35m=? 2) 35x^2-15x^3+5x^4=? 3) 6ab^6-14a^2b^4+2a^5b^3=?
Answer:
Step-by-step explanation:
i hope
the the answer is 2ab3(a4+3b3−7ab)
hope it helps.
sorry if it wrong
-Delilah
What value makes the expressions equivalent? 8(-4x + 3) and - 14x + _ +(-18x)
The value that will 8(-4x+3) equivalent to -14x+ _+(18x) is 24
What are equivalent expressions?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s).
for example 2+ 3 and 4 + 1 are equivalent. The both have a value of 5.
Similarly;
8(-4x+3) , when the parentheses is opened, = -32x +24
Also
-14x -18x = -32x
Therefore the value of x that will make the two equation equivalent is 24
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You won the state lottery this morning and you have two options to claim your winnings of $45M : You can ask for an annuity of 25 years (equal payments at the end of each year), or you can get a lump-sum of $26.5M. If you believe that the proper discount rate for this cash flow stream is 4.7%, which option do you choose and how much more do you get in today's dollars?
Choosing the lump-sum option of $26.5M would result in receiving approximately $2.93M more in today's dollars compared to the annuity option.
To determine which option is more advantageous, we need to compare the present value of the annuity payments with the lump-sum amount. The present value is calculated by discounting future cash flows at the appropriate discount rate.
For the annuity option, we have equal payments for 25 years. Using the discount rate of 4.7%, we calculate the present value of the annuity payments.For the lump-sum option, we have a single payment of $26.5M.
By discounting the annuity payments and summing them up, we find that the present value of the annuity is lower than the lump-sum amount. The difference between the present value of the annuity and the lump-sum is approximately $2.93M.
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