A circular race track has a diameter of 120 ft.about how long would one lap of the track be

Answer:

Step by step explanation:

well this is simble you just do it

Answer:

(n+10)+9

{(n+10)+9}/2

[{(n+10)+9}/2]-5

All you have to do is follow the steps!

Think of a number - n

Add 10 - n + 10

Add the number you were thinking of - n + 10 + n

Divide by 2 - (n + 10 + n) / 2

Subtract 5 - ((n + 10 + n) / 2) -5

It may look hard, but its not as hard as you think. All you need to do is follow the steps!

Answer:

y=-2

Step-by-step explanation:

5 (y-1)+6= -9

Subtract 6 from each side

5 (y-1)+6-6= -9-6

5 ( y-1) = -15

Divide by 5

5(y-1)/5 = -15/5

y-1 = -3

Add 1 to each side

y-1+1 = -3+1

y = -2

Answer:

Step-by-step explanation:] Answer would be 400%

New value - Original Cost

         Original value

= 20 - 4/4

= 16/4

= 4 x 100

= 400%

Answer:

I think its 0.3

Step-by-step explanation:

Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:

P = Proportion of red candies in the large bag

R = Red candies in the small bag

R × (33/9) = P

12 × (33/9) = P

P = 40 red candies in the large bag

Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

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4x + 20 = - 71 - ( 3x )

4x + 20 = - 3x - 71

Subtract sides minus 20

4x + 20 - 20 = - 3x - 71 - 20

4x = - 3x - 91

Add sides 3x

4x + 3x = - 3x + 3x - 91

7x = - 91

Divide sides by 7

7x / 7 = - 91 / 7

Simplification

x = - 13

Thus the number is ( - 13 ) .

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(3 + 7)

20 = 2(10)

20 = 20 (True).

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Answer:

the first one is the correct answer

The missing number at the end of the series: 456.

According to the information, the missing number from the box is number 40.

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

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The probability that a ball selected at random from the jar is number 1, rounded to two decimal places, is 0.17.

To find the probability of selecting ball number 1 from a jar containing 6 balls numbered from 1 to 6, we need to determine the number of favorable outcomes (selecting ball number 1) and the total number of possible outcomes.

The total number of possible outcomes is 6 since there are 6 balls in the jar.

The number of favorable outcomes is 1 since we are interested in selecting ball number 1.

Therefore, the probability of selecting ball number 1 is given by:

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes

Probability = 1 / 6

To express this probability in decimal form, we divide 1 by 6:

Probability ≈ 0.1666667

Rounded to two decimal places, the probability of selecting ball number 1 is approximately 0.17.

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Answer:

12

Just plug it in [the equation] to try it to

If the equation be 7p = 14 then the unknown factor p be 1.75.

Since dividing is the inverse of multiplying and factor times factor equals product, we may state: Product / Factor = Missing Factor.

An unknown is referred to as a variable. You must isolate the variable in order to determine the equation's answer. A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

Any amount can be the unknown. It's an unknown if you don't know it. The unknown in any particular circumstance is referred to as a variable, and it is symbolized by a letter, typically x or y.

Let the equation be Product / Factor = Missing Factor.

Given: 7p = 14

substitute the values in the above equation, we get

then p = 7/4 = 1.75

Therefore, the value of  p be 1.75.

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Answer:

$47.48

Step-by-step explanation:

Let x = the amount owed Sept.

x + x - 2.23 = 292.43  Combine like terms

2x -2.23 = 292.43  Add 2.23 to both sides

2x - 2.23 + 2.23 = 292.43 + 2.23

2x = 294.66  Divide both sides by 2

\(\frac{2x}{2}\) = \(\frac{294.66}{2}\)

x = 147.33 this is the bill for September

Oct. 147.33 -2.23 = 145.10 This is the Bill for Oct.

Total:

147.33 + 145.10 = 292.43

292.43 ÷ 3 = 97.48  This is what each will owe rounded to the nearest penny.

Answer:

a) 0.1587 = 15.87% probability that a battery will break down during the warranty period.

b) The expected profit of the auto store on a battery is of $15.239.

c) The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively.

This means that \(\mu = 40, \sigma = 16\)

a. What is the probability that a battery will break down during the warranty period?

Two year warranty, that is, 24 months. This probability is the pvalue of Z when X = 24. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{24 - 40}{16}\)

\(Z = -1\)

\(Z = -1\) has a pvalue of 0.1587.

0.1587 = 15.87% probability that a battery will break down during the warranty period.

b. What is the expected profit of the auto store on a battery?

1 - 0.1587 = 0.8413 probability of a profit of $20.

0.1587 probability of a loss of $10. So

\(E = 0.8413*20 - 0.1587*10 = 15.239\)

The expected profit of the auto store on a battery is of $15.239.

c. What is the expected monthly profit on batteries if the auto store sells an average of 500 batteries a month?

Multiplying the average for a battery by 500. So

15.239*500 = $7,619.50

The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.

The required two column proof is explained below.

A midpoint is a point which divides a line segment into two equal parts. Thus it can be referred to as the middle point of the line segment.

The two column proof for the information is given as:

M is the midpoint of CD    (Given)

CD = CM + MD   (addition property of a line segment)

CM = MD  (definition of a midpoint)

So that;

5x – 2 = 3x + 2    (Definition of midpoint)#

Then,

5x - 3x = 2 + 2 (collecting like terms)

2x = 4

x = 2

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Answer:

0.0001 = 0.01% probability of the Celtics winning eight straight championships.

Step-by-step explanation:

For each year, there are only two possible outcomes. Either the Celtics are the champions, or they are not. Each year is independent of other years. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

What would be the probability of the Celtics winning eight straight championships?

Each year, we have that \(p = 0.32\)

Eight straight championships: \(P(X = 8)\) when n = 8. So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 8) = C_{8,8}.(0.32)^{8}.(0.68)^{0} = 0.0001\)

0.0001 = 0.01% probability of the Celtics winning eight straight championships.

Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

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Answer:

a: Neither; b: Complementary

Step-by-step explanation:

Complementary= 90 degrees

Supplementary= 180 degrees

For letter a. the answer is neither because 85 +90= 175 degrees, not 90 or 180 degrees.

For letter b. the answer is complementary because 75 +15= 90 degrees.

Answer:

25 hours

Step-by-step explanation:

Answer: ITS E!!!

Step-by-step explanation:

Each friend drank a total of 3 beverages during their visit to the beach.

To find the number of beverages each friend drank, let's assume the number of drinks they brought and consumed this year is represented by 'x'.

From the given information, we can set up the following equations:

Last year:

5x + 2 = Total number of drinks (equation 1)

This year:

3x + 8 = Total number of drinks (equation 2)

Since the total number of drinks should be the same in both years, we can set equation 1 equal to equation 2:

5x + 2 = 3x + 8

Now, let's solve this equation to find the value of 'x':

5x - 3x = 8 - 2

2x = 6

x = 3

So, each friend drank 3 canned drinks both last year and this year.

Therefore, each friend drank 3 beverages.

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Answer:

y=-x-2

Step-by-step explanation:

The slope is negative 1 and the y intercept is -2

The holdout method is a common approach to assess the performance of a model on new, unseen data.

Linear regression is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. In simple linear regression, the relationship is modeled using a straight line, while in multiple linear regression, the relationship is modeled using a hyperplane in higher dimensions. Linear regression models are widely used in various fields, including finance, economics, social sciences, and engineering, to analyze and predict the behavior of a dependent variable based on one or more independent variables. The basic idea behind linear regression is to find the best-fitting line or hyperplane that minimizes the sum of the squared differences between the predicted values and the actual values of the dependent variable. This best-fitting line or hyperplane is called the regression line or regression hyperplane.

Here,

The basic idea is to split the available data into two parts: a training set and a validation set. The training set is used to fit the model, while the validation set is used to evaluate its performance. The holdout method can help us estimate how well the model will generalize to new data.

To compare the predictability of two linear regression models using the holdout method, we would follow these steps:

Split the data into a training set and a validation set. In this case, we would use the first 30 observations for training and the remaining 10 observations for validation.

Fit the first linear regression model using the training data. This model uses the variables x and d as predictors.

Fit the second linear regression model using the training data. This model extends the first model by including the interaction variable xd as a predictor.

Predict the response variable y for each observation in the validation set using both models.

Compare the predicted values to the actual values of y in the validation set. We can use metrics such as mean squared error (MSE) or R-squared to assess the performance of each model.

Choose the model that performs better on the validation set. This model is expected to have better predictability on new, unseen data.

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Hi, for this type of question, go on desmos. but the answer is A,B,D,E

sorry if wrong

A=1.08333333333

B=1

C=2.08333333333

D=1

E=1.125

the correct answer is ...b, and d

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

a=6ft

Step-by-step explanation:

V=a3

a=V⅓=216⅓=6ft

Answer: 882.96

Step-by-step explanation:

The product of -16.98 and 5.2 is -88.296.

The given expression is -16.98 multiplied by 5.2. To find the product, multiply the two numbers:

-16.98 * 5.2 = -88.296.

Therefore, the product of -16.98 and 5.2 is -88.296. The correct answer is -88.296, which matches the second option. When multiplying a negative number by a positive number, the result is negative. The calculation involves multiplying the absolute values (16.98 and 5.2) and then assigning the negative sign to the product. In this case, the product is -88.296, as it accurately represents the multiplication of -16.98 and 5.2.

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