A trapeziod has an buse of length 10cm, and a hight of 5 m What is the missing venght of the base

Answer:1/3

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    3/2*(x-1/3)-(-5*x)>0  

Step by step solution :

STEP

1

:

           1

Simplify   —

           3

Equation at the end of step

1

:

  3         1      

 (— • (x -  —)) -  -5x  > 0  

  2         3      

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

         x     x • 3

    x =  —  =  —————

         1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 3 - (1)     3x - 1

———————————  =  ——————

     3            3    

Equation at the end of step

2

:

  3   (3x - 1)      

 (— • ————————) -  -5x  > 0  

  2      3          

STEP

3

:

           3

Simplify   —

           2

Equation at the end of step

3

:

  3   (3x - 1)      

 (— • ————————) -  -5x  > 0  

  2      3          

STEP

4

:

Equation at the end of step

4

:

 (3x - 1)    

 ———————— -  -5x  > 0  

    2        

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

          -5x     -5x • 2

   -5x =  ———  =  ———————

           1         2    

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

(3x-1) - (-5x • 2)     13x - 1

——————————————————  =  ———————

        2                 2    

The equation at the end of step

5

:

 13x - 1

 ———————  > 0  

    2    

STEP

6

:

6.1    Multiply both sides by  2  

6.2    Divide both sides by  13  

     x-(1/13)  > 0

Solve Basic Inequality :

6.3      Add  1/13  to both sides

            x > 1/13

The calculated value of X when Y equals four is four

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

Using the above as a guide, we have the following:

y = kx

Where

k = constant of variation

When Y equals eight when X equals eight, we have

8k = 8

So, we have

k = 1

This means that the equation is

y = 1 * x

Evaluate

y = x

When the value of y is 4, we have

4 = x

This gives

x = 4

Hence, the value of X when Y equals four is four

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If FY varies directly as X, we can write the equation as:

FY = kX

where k is the constant of variation. To find the value of k, we can use the fact that "Y equals eight when X equals eight":

8 = k(8)

Simplifying this equation, we get:

k = 1

Now we can use this value of k to find the value of X when Y equals four:

4 = 1X

Solving for X, we find that

X = 4

Therefore, when Y equals four, X equals 4 as well...

The new equation of the sinusoidal function is y = 13sin(x)

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

y = sin(x) with an amplitude of 13

A sinusoidal function is represented as

f(x) = Acos(B(x + C)) + D or

f(x) = Asin(B(x + C)) + D

Where

Using f(x) = Asin(B(x + C)) + D, we have

f(x) = Asin(x)

An amplitude of 13 means

A = 13

So, we have

y = 13sin(x)

Hence, the new equation of the sinusoidal function is y = 13sin(x)

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If Billy, who works 6 hours per day and is paid overtime at time and a half, works 7 hours one day, he earns $72.00.

The total earnings for the day by Billy is the addition of the normal earnings and the overtime earnings.

Overtime rates are based on a time and a half, which is 150% of the normal hourly rate of pay.

Normal hourly rate of pay = $9.60

Normal day work hours = 6 hours

The number of hours worked for the day = 7 hours

Overtime hours for the day = 1 hour (7 - 6)

Overtime rate = $14.40 ($9.60 x 1.5)

Normal earnings for the day = $57.60 ($9.60 x 6)

Overtime earnings for the day = $14.40 ($14.40 x 1)

Total earnings for the day = $72.00 ($57.60 + $14.40)

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To find the possible values of k, we need to calculate the determinant of matrix D and set it equal to 1024.

Given matrix D:

D = | k 0 0 |

| 3 k² k³ |

| 0 kª k³ kº |

| k k k |

| 0 0 0 |

| k¹⁰ |

The determinant of D can be calculated by expanding along the first row or the first column. Let's expand along the first row:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

- 0(det | 3 k² k³ |

| 0 kª k³ |

| k k k |)

+ 0(det | 3 k² k³ |

| k k k |

| k k k |)

Simplifying further, we have:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

Now, we can calculate the determinant of the 3x3 submatrix:

det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |

This determinant can be found by expanding along the first row or the first column. Expanding along the first row gives us:

det = k(k³(kº) - 0(k)) - 0(0(k¹⁰)) = k⁴kº = k⁴+kº

Now, we can set det(D) equal to 1024 and solve for k:

k⁴+kº = 1024

Since we are looking for all possible values of k, we need to solve this equation for k. However, solving this equation may require numerical methods or approximations, as it is a quartic equation.

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Using linear functions, it is found that:

\(y_G(x) = x + 30\)

\(y_A(x) = 3x + 10\)

A linear function has the following format:

\(y = mx + b\)

In which:

At Greenpoint Florist, $1 is charged per rose, plus $30 for the vase, hence, the equation is:

\(y_G(x) = x + 30\)

At Ashley's Flowers, $3 is charged per rose, plus $10 for the vase, hence, the equation is:

\(y_A(x) = 3x + 10\)

At the end of this answer, the two solutions are graphed, and it is found that when 10 roses are sold, the total cost would be of $40 for at both shops.

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Answer:

option D is pretty close but not parallel obviously

Answer:

Pi is an irrational number, which means that it is a real number that cannot be expressed by a simple fraction.

Answer:

No

Step-by-step explanation:

It can not be a fraction because it is a never-ending/infinite decimal.

When reading a bar graph, it is important to focus on the range and size of the scale values, the value of the categories and the height of each bar, and the comparison of the height of the bars to each other. These key elements will help to accurately interpret the data represented in the bar graph.

When reading a bar graph, it is most important to remember to:

Identify the range and size of the scale values: The range and size of the scale values determine the overall spread and variability of the data represented in the bar graph. Understanding the range and size of the scale values is important for interpreting the data accurately and making comparisons between different categories or data points.

Note the value of the categories and the height of each bar: The categories and the height of each bar represent the data points in the bar graph. The categories are typically labeled on the x-axis and the height of each bar represents the frequency, count, or proportion of the data points in each category.

Compare the height of the bars to each other: Comparing the height of the bars to each other helps to identify patterns, trends, and relationships in the data. For example, if two bars have similar heights, it may indicate that the categories they represent are similar in some way, while if one bar is much taller than the others, it may indicate that the category it represents is an outlier or an exception.

It is important to remember that while bar graphs are a useful tool for visualizing categorical data, they do not provide information about the relationship between variables. To understand the relationship between variables, a scatterplot is a better choice. The standard deviation is a measure of variability in a set of data, but is not typically shown in a bar graph.

Thus, In conclusion, when reading a bar graph, it is important to focus on the range and size of the scale values, the value of the categories and the height of each bar, and the comparison of the height of the bars to each other. These key elements will help to accurately interpret the data represented in the bar graph.

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When reading a bar graph, it is important to focus on the range and size of the scale values, the value of the categories and the height of each bar, and the comparison of the height of the bars to each other. These key elements will help to accurately interpret the data represented in the bar graph.

When reading a bar graph, it is most important to remember to:

Identify the range and size of the scale values: The range and size of the scale values determine the overall spread and variability of the data represented in the bar graph. Understanding the range and size of the scale values is important for interpreting the data accurately and making comparisons between different categories or data points.

Note the value of the categories and the height of each bar: The categories and the height of each bar represent the data points in the bar graph. The categories are typically labeled on the x-axis and the height of each bar represents the frequency, count, or proportion of the data points in each category.

Compare the height of the bars to each other: Comparing the height of the bars to each other helps to identify patterns, trends, and relationships in the data. For example, if two bars have similar heights, it may indicate that the categories they represent are similar in some way, while if one bar is much taller than the others, it may indicate that the category it represents is an outlier or an exception.

It is important to remember that while bar graphs are a useful tool for visualizing categorical data, they do not provide information about the relationship between variables. To understand the relationship between variables, a scatterplot is a better choice. The standard deviation is a measure of variability in a set of data, but is not typically shown in a bar graph.

Thus, In conclusion, when reading a bar graph, it is important to focus on the range and size of the scale values, the value of the categories and the height of each bar, and the comparison of the height of the bars to each other. These key elements will help to accurately interpret the data represented in the bar graph.

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The symbolic representation of the statement "Juan is a math major but not a computer science major" using the logical operators is m ∧ ~c .

The statement "Juan is a math major but not a computer science major" can be represented symbolically using the logical operators ~ (negation), ∧ (conjunction), and ∨ (disjunction).

In this representation, the letters m and c are used to stand for the component statements "Juan is a math major" and "Juan is a computer science major", respectively.

To express the idea that Juan is a math major but not a computer science major, we can use the following symbolic representation: m ∧ ~c

The negation operator ~ is used to express the idea of not or negation. In this case, ~c represents the negation of the statement "Juan is a computer science major" .

The conjunction operator ∧ is used to represent the idea of and or conjunction. In this case, m ∧ ~c represents the idea that both m and ~c must be true at the same time.

Therefore , "m ∧ ~c" expresses the idea that Juan is a math major but not a computer science major.

The given question is incomplete , the complete question is

Write the statements symbolic form using the symbols ∼,∨ and ∧ and the indicated letters to represent component statements. Juan is a math major but not a computer science major, (m="Juan is a math major," c="Juan is a computer science major") .

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Answer:

1

Step-by-step explanation:

(2*3-1)-(1+3)

(6-1)-4

5-4

1

If this helps you mark as brainlist

Answer:

putting the Given values in equation

(3*3-1)-(1+3)

=8-4

=4

Answer:

B) (-8, -6, 1)

There are a lot of steps and I don't want to spend the time writing it all out... sorry. :')

Hope this helps :)

The probability that exactly two out of the five randomly selected trucks have defective brakes is approximately 0.3456, or 34.56%.

To calculate the probability that two out of five randomly selected trucks have defective brakes, we need to use the concept of combinations and the probability of selecting a truck with brake problems.

We know that there are 10 trucks in total and 4 of them have brake problems, we can first calculate the probability of selecting a truck with a brake problem.

The probability of selecting a truck with a brake problem is given by:

P(defective truck) = Number of defective trucks / Total number of trucks

P(defective truck) = 4 / 10 = 0.4

Next, we need to calculate the probability of selecting exactly two defective trucks out of the five trucks tested. We can use the binomial probability formula for this calculation:

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

where:

P(X = k) is the probability of exactly k successes,

n is the total number of trials (number of trucks tested),

k is the number of successes (number of defective trucks),

p is the probability of success (probability of selecting a truck with brake problems), and

C(n, k) is the number of combinations of n items taken k at a time.

In this case, we have n = 5 (five trucks tested), k = 2 (two defective trucks), and p = 0.4 (probability of selecting a truck with brake problems).

Using the formula, we can calculate the probability:

P(X = 2) = C(5, 2) * 0.4² * (1-0.4)⁽⁵⁻²⁾

P(X = 2) = 10 * 0.4² * 0.6³

P(X = 2) = 10 * 0.16 * 0.216

P(X = 2) = 0.3456

Therefore, the probability that exactly two out of the five randomly selected trucks have defective brakes is approximately 0.3456, or 34.56%.

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Answer:

Step-by-step explanation:

In this problem, we are told that Delia bought 4.5 pounds of fruit

and paid with a toa total bill of 20+5= 25 bill

and also she received a  change of 3.67

this means that the item she bought cost 25-3.67= 21.33bill

now if 4.5 pounds of items cost 21.33 bill

then 1 pound will cost Xbill

cross multiply and solve for Xbill

X= 21.33/4.5

X= 4.74 bill

One pound of the item will cost 4.74 bill

Answer:

4 questions

Step-by-step explanation:

90% is the same as multiplying a number by 0.9. Let's say the number of questions on the quiz is x. This means the amount she got right was 0.9x. We are given this is 36, so we can set them equal and simplify:

0.9x = 36

x = 40

She must have gotten 40 - 36, or 4 questions wrong.

Answer:

1.6

Step-by-step explanation:

i used a calculator

The answer would be 1.6

the area of the transformed ellipse is 3π.

To find the area of , we need to first transform the ellipse using the matrix
To do this, we will apply the matrix to each point on the ellipse. Let (x, y) be a point on the ellipse. Then, applying the matrix gives us:

Simplifying this expression, we get:

This is the equation of an ellipse centered at the origin, with semi-major axis a = 3 and semi-minor axis b = 1. To find the area of this transformed ellipse, we can use the formula for the area of an ellipse:

Area = πab

Plugging in the values of a and b, we get:

Area = π(3)(1) = 3π

Therefore, the area of the transformed ellipse is 3π.
It seems that the question is incomplete, as there are missing terms and no specific matrix mentioned. Please provide the complete question, including the terms and matrix, so I can provide an accurate and concise answer.

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Answer:

1mm

Step-by-step explanation:

Answer:

the answer is 6 just check it

Answer:1442.41086

Step-by-step explanation:

So first it would continue 3% higher so not 18% higher

first 3% higher 1200

So 1236

Then 3% of 1236

so 1273.08

The 3% of that to 1311.2724

The 3% of that to 1350.61057

The 3% of that to 1400.39889

The 3% of that to 1442.41086

Answer:

1251

Step-by-step explanation:

Use the formula for calculating compound interest A=P0ert where A is the unknown, P0=1200, r=0.014, and t=3. Substitute the values into the formula and simplify.

A=1200e0.014⋅3

A=1200e0.042

A=1200(1.0428...)

A=1251.47

Therefore, after three years, the balance in the account is A≈1251.

The MMPI-2 test is used for the assessment of psychopathology and personality of patients.

It includes 567 true-false questions, resulting in 10 clinical scales, among which one is the anxiety subscale.

A score of 30 or less is usually considered very low.

The questions are answered by the patient, usually in a clinical or research setting.

A one-sample t-test is conducted in the problem, whereby a sample of 18 participants in a yoga group is tested for anxiety scores.

The following are the parameters of the one-sample t-test:Groups:

18 participants

Null hypothesis: The anxiety scores of Felipe's yoga group are statistically equal to 30." value: 30

Type of test: One-tailed test

Alternative hypothesis: The anxiety scores of Felipe's yoga group are greater than 30.

Degrees of freedom: n - 1 = 17T-observed value: (35.2 - 30) / (10.4 / sqrt(18)) = 2.41T-critical value: 1.734

Reject or retain null hypothesis: Since the t-observed value (2.41) is greater than the t-critical value (1.734), Felipe should reject the null hypothesis, which implies that his yoga group's scores are greater than 30.P-value: 0.014Cohen’s d value: (35.2 - 30) / 10.4 = 0.5

If the " value were reduced to 0.01, Felipe would still reject the null hypothesis, since the p-value (0.014) is lower than the alpha level (0.01).

For the sample mean: 35.2CI for 42%: 35.2 ± 0.58CI for 79%: 35.2 ± 1.16CI for 95%: 35.2 ± 2.13

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To solve the expression we must know about expressions and like terms.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

The final solution of the expression is 4x + 3y + 6z.

Given to us

Simplification of the above equation can be done in the following manner,

1.   Only combine terms that contain the same variable.

2.  To add like terms, add the coefficients, not the variables. First, add

    5x+(-x).

            5x + (-x) + 3y + 6z

3. The simplified expression is 4x + 3y + 6z.

             4x + 3y + 6z

Hence, the final solution of the expression is 4x + 3y + 6z.

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Answer:16 and 24

Step-by-step explanation:

According to the cohort study, it is a good approximation of the RR in a particular study depends on various factors, including the incidence of the outcome, the size of the exposed and unexposed groups, and the study design. (option d).

The study you mentioned is a prospective cohort study that followed marijuana users and non-users to determine their first experience of a psychotic episode. The table below shows the data collected from the 2-year cohort study.

The OR for developing a psychotic episode in marijuana users compared to non-users can be calculated as follows:

OR = (20/480) / (5/500) = 8.33

This means that marijuana users are 8.33 times more likely to experience a psychotic episode than non-users. However, the OR is not the same as the RR, which measures the distance between the incidence of an outcome in the exposed group compared to the unexposed group.

In this study, the RR can be calculated as:

RR = (20/500) / (5/500) = 4

This means that marijuana users are four times more likely to experience a psychotic episode than non-users. As you can see, the OR and RR are different measures of the distance between the incidence of an outcome in the exposed and unexposed groups. However, in some situations, the OR can be a good approximation of the RR, especially when the incidence of the outcome is low.

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Complete Question:

Consistently evidence has shown a relationship over time repeated cannabis use and an experience of a psychotic episode. A prospective cohort study followed marijuana users and non-marijuana users to determine their first experience of a psychotic episode. The table below represents the data collected from the 2-year cohort study.

Psychotic Episode Marijuana Users Non-Marijuana Users

Yes                                 20                                5

No                                   480                              500

Is the OR in this study a good approximation of the RR?

a) No

b) Yes

c) Cannot Be Determined

d) OR can not be used in a a Cohort Study

a.The probability that a randomly selected watch will be in working condition for more than five years is approximately 6.68%. b.Approximately 93.32% of the watches will be in operating condition after the warranty period. c. The maximum life expectancy of the middle 95% of the watches is approxiamately 63.68 months. d.The range of the middle 95% of the watches is from 32.32 months to 63.68 months. The range represents 95% of the watches, it means that 5%.

a. To find the probability that a randomly selected watch will be in working condition for more than five years, we need to convert the time to the same unit as the distribution. Since the mean is given in years and the standard deviation is given in months,

we need to convert five years to months.

Mean = 4 years = 4 x 12 months = 48 months

Standard deviation = 8 months

To calculate the probability, we need to find the area under the normal distribution curve to the right of 60 months (5 years).

Using a standard normal distribution table or a calculator, we can find the z-score corresponding to 60 months:

z = (x - μ) / σ

z = (60 - 48) / 8 = 12 / 8 = 1.5

The probability can be found by looking up the z-score in the standard normal distribution table or using a calculator. From the table or calculator, we find that the probability is approximately 0.0668, or 6.68%.

b. The warranty period for Timely brand watches is three years. To find the percentage of watches that will be in operating condition after the warranty period, we need to find the probability that a randomly selected watch will last longer than three years.

We need to convert three years to months:

Warranty period = 3 years = 3 x 12 months = 36 months

We calculate the z-score:

z = (x - μ) / σ

z = (36 - 48) / 8 = -12 / 8 = -1.5

Using the standard normal distribution table or a calculator, we find the area to the left of -1.5 is approximately 0.0668. The probability that a randomly selected watch will not last longer than three years is approximately 0.0668.

To find the percentage of watches that will be in operating condition after the warranty period, we subtract this probability from 1 (since we want the complementary probability):

Percentage = 1 - 0.0668 = 0.9332 = 93.32%

c. The middle 95% of the watches represents the range within which 95% of the watches' life expectancy falls. To find the minimum and maximum life expectancy of this range, we need to determine the z-scores that correspond to the cumulative probability of 0.025 and 0.975.

For the minimum life expectancy (lower bound), we look up the z-score that corresponds to a cumulative probability of 0.025. This z-score is approximately -1.96.

z = -1.96

Using the z-score formula, we can find the corresponding value in months:

x = μ + (z x σ)

x = 48 + (-1.96 * 8) = 48 - 15.68 = 32.32

The minimum life expectancy of the middle 95% of the watches is approximately 32.32 months.

For the maximum life expectancy (upper bound), we look up the z-score that corresponds to a cumulative probability of 0.975. This z-score is also approximately 1.96.

z = 1.96

Using the z-score formula, we can find the corresponding value in months:

x = μ + (z x σ)

x = 48 + (1.96 x 8) = 48 + 15.68 = 63.68

d. Ninety-five percent of the watches refer to the range between the 2.5th and 97.5th percentiles. We already calculated the z-scores corresponding to these percentiles in part c: -1.96 and 1.96.

To find the range in months,

we convert the z-scores back:

\(x_{1}\)= μ +\(z_{1}\) x σ = 48 + (-1.96) x 8 = 32.32 months,

and \(x_{2}\)= μ + \(z_{2}\) x σ

= 48 + 1.96 x 8

= 63.68 months.

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Answer:

Yes, r and h can be changed to produce same volume by;

Increasing "r" and decreasing "h" or by decreasing "r" and increasing "h".

Step-by-step explanation:

What the question is simply asking is if we can get same volume of a particular cylinder if we change the radius and height.

Now, volume of a cylinder is;

V = πr²h

Now, for the volume to remain the same, if we increase "r", it means we have to decrease "h", likewise, if we decrease "r", we now have to increase "h".

Answer:

2a(b) - c

Step-by-step explanation:

Answer:

the answer is 2ab-c I hope this helps you