If i walked 14 out of the 20 days in February, which value is equivalent to the fraction of the school days in February that i walked to school?

Answer:

y = 1/4 (3 s - 8)

Step-by-step explanation:

hopes this helps:)

The rate column will be:

A= 30

B= 20

C= x miles

D= x miles

It should be noted that rate simply means the measure, quantity, or frequency that one measure against another quantity or measure.

In this case, Jorden drives to the store at 30 miles per hour and on her way home she averages only 20 miles per hour.

Therefore, the rate column will be:

A= 30

B= 20

C= x miles

D= x miles

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Fill out the Rate column in the table below. Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store? Fill out the Rate column in the table below. a = b =

Step-by-step explanation:

Box plots give the five number summary of the data set. The whiskers indicate the minimum daily travel time, which is 11 minutes, and the maximum daily travel time, which is 45 minutes. These values are not outliers because they are connected to the box with whiskers. Meanwhile, the box indicates that the first quartile of the data set is 16, the median is 28, and the third quartile is 36.

Clara's utility function is U(x,y) = (x + 2)(y + 1). If her MRS = 0.5 and she's consuming 8 goods of Good X and she is consuming 04 goods of Good Y.

Utility Function:

In economics, utility represents the satisfaction or pleasure that a consumer derives from the consumption of a good or service. A utility function measures a consumer's preference for a set of goods and services.

Utility is measured in units called utils (a Spanish word for useful), but calculations of consumer benefit or satisfaction are abstract and difficult to determine. Economists thus measure utility in terms of revealed preferences by observing consumer choices. From there, economists create an order of consumption baskets, from least wanted to most valued.

According to the Question:

Given that:

MRS = 0.5

Good X = 8

Good Y = ?

\(MU_x = y +1\)

\(MU_y = x+2\)

According to the Formula:

      \(MRS = \frac{MU_X}{MU_y}\)

⇒ 0.5 = (y+1)/(x+2)

⇒ 0.5 (x+2) = (y+1)

⇒ 0.5x + 1.0 = y + 1

Now Putting the value of x = 8, we get:

  0.5 × 8 + 1 - 1 = y

⇒ y = 4

Therefore, she's consuming 8 goods of Good X and 04 goods of Good Y.

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The current yield of the bond is 11.76% and the yield to call is 19.51%.

The current yield of the bond can be calculated using the following formula:

Current Yield = (Annual Interest Payment/Bond Price) * 100

In this case, the annual interest payment is 10% of the face value of the bond (5 * $100 = $500). The bond price is $41, so the current yield is 11.76%:

Current Yield = ($500/$41)*100 = 11.76%.

The bond is callable at 103 as of 2032, so the call premium is 103 – 41 = 62. This means that if the bond is called, the investor will receive an additional payment of $62 per bond (5 * $62 = $310). The yield to call is the total annual return the investor will receive if the bond is called:

Yield to Call = (Annual Interest Payment + Call Premium)/Bond Price * 100

In this case, the yield to call is:

Yield to Call = ($500 + $310)/$41 * 100 = 19.51%.

This means that if the bond is called in 10 years, the investor will receive an annual return of 19.51%.

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Confidence interval is the statistical range in which an unknown parameter is likely to fall. Here the confidence interval is (32.82, 38.38). So the choice 3 is correct.

Equation for confidence interval is,

 CI = X± Z × σ/√n

CI is the confidence interval

X is the mean

Z is the Z-value from the table for the chosen confidence level

σ is the standard deviation

n is the number of samples

Here X = 35.6 , σ = 8.2, n=18

Confidence level is 85%, Z-value corresponding to 85% confidence is 1.4395

CI = 35.6 ± 1.4395 × 8.2/√18

    = 35.6 ± 2.782

So the range will be (36.5- 2.782, 36.5 + 2.782)

                                  = ( 32.82, 38.38)

So the confidence interval is (32.82, 38.38)

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The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

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If the null hypothesis is rejected, it suggests that there is evidence to support the claim that the mean weight of Take-a-Bite snack food is less than 175 grams.

What is the standard deviation?

The standard deviation is a measure of the dispersion or variability of a set of data points. It quantifies how much the individual data points deviate from the mean of the data set.

To test the claim that the mean weight of Take-a-Bite snack food is less than 175 grams, we can conduct a one-sample t-test. Here's how we can perform the test at a significance level of 0.05:

Step 1: State the null and alternative hypotheses:

Null Hypothesis (H0): The mean weight of Take-a-Bite snack food is equal to 175 grams.

Alternative Hypothesis (H1):

The mean weight of Take-a-Bite snack food is less than 175 grams.

Step 2: Determine the test statistic:

Since the population standard deviation is unknown, we use the t-test statistic. The test statistic for a one-sample t-test is calculated as: t = (sample mean - hypothesized mean) / (sample standard deviation / √n)

In this case, the sample mean is 172 grams, the hypothesized mean is 175 grams, the sample standard deviation is 8 grams, and the sample size is 70.

Step 3: Set the significance level: The significance level (alpha) is given as 0.05.

Step 4: Calculate the test statistic:

t = (172 - 175) / (8 / √70) ≈ -1.158

Step 5: Determine the critical value and p-value:

Since we are conducting a one-tailed test to check if the mean weight is less than 175 grams, we need to find the critical value or p-value for the lower tail.

Using a t-distribution table or statistical software, we can find the critical value or p-value associated with a t-statistic of -1.158 and degrees of freedom (df) equal to n - 1 (70 - 1 = 69) at a significance level of 0.05.

Step 6: Make a decision:

If the p-value is less than the significance level (0.05), we reject the null hypothesis. If the critical value is greater than the test statistic, we reject the null hypothesis.

Step 7: Interpret the results:

Based on the calculated test statistic and critical value or p-value, make a conclusion about the null hypothesis. If the null hypothesis is rejected, it suggests that there is evidence to support the claim that the mean weight of Take-a-Bite snack food is less than 175 grams. If the null hypothesis is not rejected, there is insufficient evidence to support the claim.

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Answer:

the coefficient of x is 1

Step-by-step explanation:

In the expression ax²+bx+c=0

a is the coefficient of x²

b is the coefficient of x

2+x²+x = x²+x +2 = 1x²+1x +2 =

So in this expression right above the coefficient of x is 1

Step-by-step explanation:

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

any more help just ask :)

Answer:

I assume the answer is D. Haven't done box plots in years tho.

The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

The apothem of a regular polygon is the perpendicular distance from the center of the polygon to any one of its sides because it serves as a measure of the inradius, or the radius of the circle inscribed within the polygon. In a regular polygon, all sides are congruent and all interior angles are equal, so the apothem is the same for all sides.

To see this, imagine drawing radii from the center of the polygon to each vertex, and then drawing the perpendicular bisector of each side. These perpendicular bisectors will all intersect at the same point, which is the center of the polygon. The apothem is the length of the line segment connecting this center point to any one of the sides of the polygon.

The apothem is useful in finding the area of a regular polygon. By using the formula for the area of a regular polygon in terms of the apothem and the number of sides, one can find the area of a regular polygon without having to find the exact shape of the polygon.

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Based on the given polygon, the true statement on the polygons is that Polygon A is similar to Polygon B because Polygon B is a rotation of Polygon A.

Polygon A is related to Polygon B because to create Polygon B, Polygon A was dilated.

When a polygon is dilated, it means that it is either made to be larger in size, or smaller in size. In this case, Polygon A was made to be larger in size to create polygon B.

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Answer:

Water level before > 31

Step-by-step explanation:

After considering the given data we conclude that the example for the given function are a) \(f(x) = x/(x+2)\), b) \(f(x) = sin^2(\pi x/2)\), c) \(f(x) = x/(x+1).\)

Now let us proceed to solving the sub questions
a. An example of a continuous function defined on (0,1) with range (0,1) is \(f(x) = x/(x+2)\). This function is continuous on(0,1)  and its range is (0,1).
b. An example of a continuous function defined on (0,1) with range is \(f(x) = sin^2(\pi x/2)\). This function is continuous on (0,1) and its range is (0, 1)
c. An example of a continuous function defined on (0,1] with range (0,1) is \(f(x) = x/(x+1)\). This function is continuous on (0,1] and its range is (0,1).
We have to keep in mind  that it is possible to prove the existence of such functions using the Intermediate Value Theorem, which projects that if a function is continuous on a closed interval [a,b], therefore it takes on every value between f(a) and f(b) at least once. But, the theorem does not provide a way to construct such functions explicitly.
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Answer:

-7/15

Step-by-step explanation:

-3$8(47#+$'++#$)3!_+$7$jrjdjd

Answer:

- 7/15

Step-by-step explanation:

Must convert to a common denominator to add or subtract fractions

I'll use 30

8/6 = 40/30

-9/5 = -54/30

(40-54) /30 = -14/30 =  - 7/15

It doesn't really taste sweet because the temperature is lower hence the sugar does not dissolve properly.

A solution is composed of a solute and a solvent. The solute dissolves in the solvent. In this case, the sugar is the solute in this case. We have to also note that temperature has a huge effect on solubility of a solute.

With the iced coffee, the temperature is  lower hence the sugar does not dissolve properly therefore the coffee does not taste really sweet.

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Answer:

polynomial

Step-by-step explanation:

because poly=more than 1

mono=1

bi= 2

tri=3

Answer:

Kindly check explanation

Step-by-step explanation:

Measures of dispersion are used to determine the variability of data points of samples ; it measures how much a given data deviates or behaves about the mean value or point. Measures of dispersion or variability include standard deviation and variance.

In finance, data with high degree of vatibalitu are considered as being unstable because this shows a high level of uncertainty about the average confidence of the output for such investment or business. Hence. Highly variable investments are cindisderdd volatile and risky

Answer:

Equation:

y = x+1

Distance Equation:

sqrt[x^2 + y^2] = 5

===========================

Substitue for "y" and solve for "x":

sqrt[x^2 + (x+1)^2] = 5

x^2 + x^2 + 2x + 1 = 25

2x^2 + 2x -24 = 0

x^2 + x - 12 = 0

Factor:

(x+4)(x-3) = 0

x = 3 miles (eastbound distance)

x+1 = 4 miles (southbound distance)

Step-by-step explanation:

Answer:

I don't think so

Step-by-step explanation:

If being over 200 lbs makes you a good football player, then Earl could be a good player. But you need to be skilled at football to be good at it. Your weight doesn't make you good at something. So in my opinion, I don't think Kaylie's conclusion is valid.

I hope this answer helped you

Answer:

x=2

Step-by-step explanation:

transpose 6

8-6 is 2

u can also check if u say 2 + 6 it will give u 8 which means 2 is correct

For the given situation, we can clearly say that the change in one quantity will cause a change in the second quantity as well.

Correlation is a relationship between the values ​​of two variables. A scatter plot is a useful tool for displaying data about two variables as a series of points in the x and y plane and determining whether there is a correlation between the variables.

Causality means that one event causes another. Causality can only be determined by well-designed experiments. In such experiments, similar groups receive different treatments, and the results of each group are examined.

From the above information, we concluded that a person's age and the number of cassette tapes he/she owns are correlated more he lives the more he buys the cassette tapes. So we can make relation from this,

Person's Age ∝ Number of Cassette

This clearly states that by increasing/changing one quantity we will increase/change the other quantity as well.

Similarly, now that they have a direct relation if we decrease the Age of the person, the number of Cassette's will also decrease. A positive correlation we can call it.

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Answer:

1.31

Step-by-step explanation:

I used a calculator and just rounded this number 1.30769230769

if the number is five or higher then you would round the number next to the 7. So 7 rounded 0 is 1.31. Sorry i tried to explain it in the best way possible!

Answer:

it would be rounded to 9

Step-by-step explanation:

sense this is the answer 8.704061896  you ought to round then again im not   perfect if   posable you should try 9 first if its wrong then try 8

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

To solve this problem the we have to convert the units with the given information.

1mm is equal to 1000 μm

5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm

The length of the microorganism that measure 5μm is equivalent to 0.005 mm

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Answer:

Area of the trapezoid = 1/2(B+b)h

where

B= length of the longer side of the trapezoid which is equal to 14 ft

b= shorter shorter side of the trapezoid  which equal 8 ft

h = height of the trapezoid which is equal to 4 ft

Area of the trapezoid = 1/2 (14+8)4

Area of the trapezoid yard fence of Duc is 44ft^2

Step-by-step explanation:

To determine whether the series converges or diverges, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms of a series is less than 1, then the series converges. If the limit is greater than 1 or approaches infinity, then the series diverges.

Using the ratio test, we have:
|6^(n+1)/(5^(n+1)-1)| / |6^n/(5^n-1)| = |6/(5-1/5^n)|
As n approaches infinity, the denominator 1/5^n approaches 0, and the absolute value of the ratio approaches infinity. Therefore, the series diverges.
we can further explain that the terms in the series 6^n/(5^n-1) grow faster than those in a geometric series with a common ratio of 5/6, which is convergent since the ratio is less than 1. As n increases, the denominator of each term in the given series becomes very close to 5^n, while the numerator remains constant. This makes the fraction approach infinity, and so the series diverges.

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