Emma bought a bag of carrots. There are 5 carrots in the bag, and so far Emma has eaten 4. What percentage of the bag has Emma eaten?

Answer:

0.25

Step-by-step explanation:

Answer:

The Correct Answer Is D. 0.25 I Did The Exam

Step-by-step explanation:

Answer:16 ^ 1.5 (or 3/2) = 64

64 ^ 0.5 (or 1/2) = 8

8 should be your answer

Step-by-step explanation:

There are 11/18 miles does the car travel in 1 minute.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A car travels 2 3/4 miles in 4 1/2 minutes.

Now,

Since, A car travels 2 3/4 miles in 4 1/2 minutes.

Hence, The distance cover by car in 1 minute = 2 3/4 ÷ 4 1/2

                                                                       = 11/4 ÷ 9/2

                                                                       = 11/4 × 2/9

                                                                       = 11/18 miles

Thus, The car travel 11/18 miles in 1 minute.

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Answer:

Answer C, Arthur will pay about $918 less in interest if he chooses the 3-year loan.

Step-by-step explanation:

(370.53 x 12) x 3 = 13,339.08

(237.61 x 12) x 5 = 14,256.60

14,256.60 - 13,339.08 = 917.58 (then round up)

The two points that also lie on the circumference of the circle are approximately (-9.2, -12.5) and (11.8, -7.1).

The circumference of a circle is the distance around its outer edge, also known as its perimeter. It is a key measurement in geometry, and is defined as the product of the circle's diameter and pi (π), a mathematical constant approximately equal to 3.14.

The formula for the circumference of a circle is:

C = 2πr

where C is the circumference, r is the radius of the circle, and π is the mathematical constant pi.

C = πd

The circumference of a circle is proportional to its radius or diameter, which means that if you double the radius or diameter of a circle, its circumference will also double. This relationship is fundamental to many mathematical and scientific applications, such as calculating the area or volume of a circle or sphere.

The circumference of a circle can be measured using a variety of tools, including rulers, compasses, and string. In practice, it is often measured indirectly by measuring the diameter or radius of the circle and using the formula above to calculate its circumference.

In summary, the circumference of a circle is the distance around its outer edge or perimeter, and is calculated using the formula C = 2πr or C = πd. It is a key measurement in geometry and has many practical applications in mathematics, science, and engineering.

To find two more points on the circumference of the circle, we can use the fact that the distance between the center of the circle and any point on its circumference is equal to the radius of the circle.

The radius of the circle can be found using the distance formula, which gives:

radius = sqrt((9-0)^2 + (-12-0)^2) = sqrt(225) = 15

So the circle has a radius of 15.

Now, to find two more points on the circumference, we can use the fact that any point on the circle can be represented as (r cos θ, r sin θ), where r is the radius of the circle and θ is the angle that the line connecting the point and the origin makes with the positive x-axis.

Since we already know one point on the circle, (9,-12), we can find the angle θ that this point makes with the positive x-axis by using the inverse tangent function:

θ = arctan(-12/9) = -53.13 degrees (or -0.93 radians)

Now we can find two more points on the circle by adding or subtracting multiples of 360 degrees (or 2π radians) to the angle θ and using the formula (r cos θ, r sin θ). For example:

Point (15 cos (-53.13), 15 sin (-53.13)) ≈ (-9.2, -12.5)

Point (15 cos (306.87), 15 sin (306.87)) ≈ (11.8, -7.1)

Therefore, the two points that also lie on the circumference of the circle are approximately (-9.2, -12.5) and (11.8, -7.1).

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Answer:

The errors that may occur in the measurement of a physical quantity can be classified into six types: constant error, systematic error, random error, absolute error, relative error and percentage error.

Step-by-step explanation:

Hope this will be helpful for you.

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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The future value of depositing $1,000 every year for 20 years, with payments made at the beginning of each period, at an interest rate of 7% compounded yearly, is approximately $43,865.18.

To calculate the future value of a series of deposits, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value

P is the periodic payment

r is the interest rate per period

n is the number of periods

In this case, the periodic payment is $1,000, the interest rate is 7% (or 0.07), and the number of periods is 20.

Plugging these values into the formula, we get:

FV = 1000 * [(1 + 0.07)^20 - 1] / 0.07

  = 1000 * [1.07^20 - 1] / 0.07

  ≈ 1000 * [2.6532976 - 1] / 0.07

  ≈ 1000 * 1.6532976 / 0.07

  ≈ 43,865.18

Therefore, the future value of this series after 20 years would be approximately $43,865.18.

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Answer:

$6727.50

Step-by-step explanation:

35/1000*6500

= 35*6.5

=227.50

6500+217.50

6727.50

Answer:

x= 37/96

Step-by-step explanation:

The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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Regression equation :y = 95.17 + (-0.81) x

The p-value  = 0.205

95% confidence interval for slope : -2.13 <= β₁ <= 0.50

Here, we have,

from the given information , we get,

X Y XY X² Y²

50 77.18 3859 2500 5956.75

45 79.26 3566.7 2025 6282.15

50 49.55 2477.5 2500 2455.2

60 40.31 2418.6 3600 1624.9

50 71.97 3598.5 2500 5179.68

60 54.65 3279 3600 2986.62

55 56.38 3100.9 3025 3178.7

60 21.42 1285.2 3600 458.816

50 60.54 3027 2500 3665.09

50 71.97 3598.5 2500 5179.68

70 27.11 1897.7 4900 734.952

45 79.26 3566.7 2025 6282.15

40 35.84 1433.6 1600 1284.51

40 34.73 1389.2 1600 1206.17

45 42.08 1893.6 2025 1770.73

∑x =  ∑y =  ∑x y =  ∑ x² =  ∑ y² =

770 802.25 40391.7 40500 48246.0999

Sample size, n =  15

X = ∑ x/n = 770/15 =  51.3333333

Y = ∑ y/n = 802.25/15 =  53.4833333  

SS x x =  ∑ x² - (∑ x)²/n = 40500 - (770)²/15 =  973.333333

SS y y =  ∑ y² - (∑ y)²/n = 48246.0999 - (802.25)²/15 =  5339.09573

SS x y =  ∑ x y - (∑ x)( ∑ y)/n = 40391.7 - (770)(802.25)/15 =  -790.466667

Slope, b = SS x y/SS x x = -790.46667/973.33333 = -0.81212329

y-intercept, a = y -b* x = 53.48333 - (-0.81212)*51.33333 = 95.1723288

Regression equation :

y = 95.17 + (-0.81) x

Slope Hypothesis test:

Null and alternative hypothesis: Answer B

H₀: β₁ = 0

Hₐ: β₁ ≠ 0

Sum of Square error, SSE = SS y y -SS x y²/SS x x = 5339.09573 - (-790.46667)²/973.33333 = 4697.13935

Estimate of the standard deviation, s = √(SSE/(n-2))

= √(4697.13935/(15-2)) = 19.00838 = 19.01

Test statistic:

t = b /(s_e/√S x) = -1.33

df = n-2 = 13

p-value = 0.205

Correlation coefficient, r = SS x y/√(SS x x * SS y y)

= -790.46667/√(973.33333*5339.09573) = -0.3468

Since the p-value is more than the significance level α , there is not evidence to reject H₀.

Conclude there is not a linear relationship between hours worked per week and work life balanced score.

95% confidence interval for slope : Answer B

Critical value, t_c  = 2.1604

Lower limit = β₁ - t_c * s_e/√S x = -2.1284

Upper limit = β₁ + t_c* s_e/√S x = 0.5041

-2.13 <= β₁ <= 0.50

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Answer:

Step-by-step explanation:

A) f(x)=14x-71          

f(4) = 48-71 = -23 NO

B) f(x)=24x-1361

f(4) = 96 - 1361   NO

C) f(x)=24x-360   [-360, not =360]

f(4) = 96 - 360   NO

D) f(x)=24x-111

Although part of your question is missing, you might be referring to this full question: Right triangles MNP and QRS are congruent. What is the area of △MNP? (Picture as attached)

The area of △MNP is 60 m².

Since △MNP and △QRS are congruent, then SQ = MP, NM = RQ, and RS = NP.

The formula to find the area of a triangle is:

= 1/2 * base * height

As shown in the picture, height = 15, and base is unknown.

To find the base, we use Pythagoras theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle), or, in familiar algebraic notation, a² + b² = c².

So, MP = √ 17² – 15²

MP = 8m = the base

Hence, area of △MNP:

= 1/2 * 8 * 15

= 60 m²

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The image of the figure under a dilation with scale factor 3/2 is attached

From the question, we have the following parameters that can be used in our computation:

Center = (0, 0).

Point = (6, 12), (8, 12) and (8, 8)

Scale factor = 3

A dilation with center (0, 0) and scale factor k multiplies the coordinates of a point by k.

So, to find the image of the point under the dilation with scale factor 3/2, we multiply each coordinate by 3/2:

Image = [(6, 12), (8, 12) and (8, 8)] * 3/2

Image = [(9, 18), (12, 18) and (12, 12)]

Hence, the image of the figure is attached

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Answer:

11:55 is closest time time to mid night

Option D is correct, 12:03AM is the closet time to midnight.

Midnight is typically defined as the beginning of a new day, precisely at 12:00 AM.

In a 12-hour clock format, AM (ante meridiem) is used to represent the time before noon (from midnight to 11:59 AM), while PM (post meridiem) is used to represent the time after noon (from 12:00 PM to 11:59 PM).

12.06am is 6 minutes past midnight.

11.50am is 10 minutes from midday, or, if you prefer, 11 hours and 55 minutes past midnight.

12.03am is 3 minutes past midnight.

Hence,  the closet time to midnight is 12:03 AM.

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Answer:

The way you would interpret -58 is that unlike positive numbers such as 50 or 70, -58 is actually behind the number zero. Take it as like an elevator that goes below the surface level, -58 is 58 floors below the surface.

Answer:

take it as an elevator sjsiisisis

Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.

Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

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Answer:

In mathematics, entirely by coincidence, there exists a polynomial equation for which the answer, 42, had similarly eluded mathematicians for decades. The equation x3+y3+z3=k is known as the sum of cubes problem.

Answer:

G (-2,8)

Step-by-step explanation:

(-8+x)/2 = -5

-8 + x = -10

x = -10 + 8

x = -2

(0+y)/2 = 4

y = 4 · 2

y = 8

Answer:

60

Step-by-step explanation:

60 is 75% of 80

Answer:ask your teacher bc thats confusing

Step-by-step explanation:

The number of years will take for his money to double is 10.87 years

Let's assume the amount of money Latrell needs to buy the car "P". Since Latrell only has half of that amount, we can say that he has 0.5P. We want to find out how long it will take for Latrell's money to double, so we want to solve for the time "t" in years.

We can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = final amount of money (in this case, 2P, since we want to find out how long it takes for Latrell's money to double)

P = initial amount of money (0.5P, since that's what Latrell has now)

r = annual interest rate (6.3%)

n = number of times the interest is compounded per year (4, since it's compounded quarterly)

t = time (in years)

Substituting in the values we know, we get:

2P = 0.5P(1 + 0.063/4)^(4t)

Simplifying, we can divide both sides by 0.5P:

4 = (1 + 0.063/4)^(4t)

Taking the natural logarithm of both sides, we get:

ln(4) = 4t ln(1 + 0.063/4)

Dividing both sides by 4 ln(1 + 0.063/4), we get:

t = ln(4) / (4 ln(1 + 0.063/4))

t ≈ 10.87 years

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Answer: 18-12=6/3=2

my number is 2?

Step-by-step explanation:

it didn't work, my answer wasn't 15

Answer:

The ratio of geckos to lizards is 1:3

So, that means 1/(3+1) of the animals are geckos.

1/4 of the reptiles are geckos.

And, there are 20 geckos.

Let me know if you have any other questions!

Ratios are used to show the relationship between related quantities. The number of geckos in the pet store is 20.

Given that:

\(Total = 80\)

\(Gecko : Anole = 1 :3\)

The number of geckos (n) in the store is calculated as follows:

\(n = \frac{Gecko}{Gecko + Anole} \times Total\)

So, we have:

\(n = \frac{1}{1+ 3} \times 80\)

\(n = \frac{1}{4} \times 80\)

\(n = 20\)

Hence, there are 20 geckos in the store

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a) The mean of the data is given as follows: 226.75

b) The standard deviation of the data is given as follows: 39.76.

The mean of the data is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

Hence it is given as follows:

Mean = 4535/20

Mean = 226.75.

The standard deviation of the data is obtained as the square root of the sum of the differences squared between each observation and the mean divided by the number of observations.

Using a calculator, the standard deviation is given as follows:

s = 39.76.

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Thus, the probability of getting at least 5 questions correct by guessing randomly on a 20-question multiple-choice test with 4 possible answers for each question is approximately 0.074 or 7.4%.

To calculate the probability of getting at least 5 questions correct, we need to use the binomial distribution formula. This formula calculates the probability of getting a specific number of successes in a fixed number of trials, given a specific probability of success.

The formula for the probability of getting at least 5 successes in 20 trials with a probability of success of 1/4 is:

P(X ≥ 5) = 1 - P(X < 5)

where X is the number of correct answers.

Using the binomial distribution formula, we can calculate the probability of getting less than 5 correct answers as:

P(X < 5) = ΣP(X = k) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

= (0.75)^20 + 20(0.25)(0.75)^19 + (20*19/2)(0.25)^2(0.75)^18 + (20*19*18/6)(0.25)^3(0.75)^17 + (20*19*18*17/24)(0.25)^4(0.75)^16

= 0.926

Therefore, the probability of getting at least 5 questions correct is:

P(X ≥ 5) = 1 - P(X < 5)

= 1 - 0.926

= 0.074

So the probability of getting at least 5 questions correct by guessing randomly on a 20-question multiple-choice test with 4 possible answers for each question is approximately 0.074 or 7.4%.

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Main Answer: The rate at which the radius is increasing is 1/3 m/min when the volume is 36πm³.

Supporting Explanation: Given that the volume of the spherical balloon is increasing at the rate of 5 m³/min and the volume of the balloon is given as 36π m³.The volume of the balloon is given by v = 4πr³ / 3. Therefore, 4πr³ / 3 = 36π. This gives the radius of the balloon as: r = cuberoot(27) = 3m.Then, differentiating the volume equation with respect to time, t, we get: dv/dt = 4π(3r²)dr/dt. Rearranging the above equation, we get: dr/dt = (1/3)(dv/dt) / r².Substituting the values, we get: dr/dt = (1/3 * 5) / 3²dr/dt = 1/3 m/min. Therefore, the rate at which the radius is increasing is 1/3 m/min when the volume is 36πm³.Here, the keywords used are spherical balloon, volume, rate, radius, and cuberoot.

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The total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

\(A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\\)

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

In the given problem,

Put these values in the above formula as,

\(A=2530.16\times\left(1+\dfrac{0.042}{100}\right)^{30}\\\\A=2562.24\)

The interest amount paid is,

\(I=A-P\\I=2562.24-2530.16\\I=32.08\)

Thus, the total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.

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Answer:

The correct answer is C

Step-by-step explanation:

Answer: Either 58 or 85

Step-by-step explanation:

5 + 8 = 13
8 + 5 = 13

5 x 8 = 40

8 x 5 = 40