Five squares are positioned as shown. The small square indicated has area 1 . What is the value of h?

Answer:

A= b×h

b=12

h=9

12×9= 108

A=108m

Hope this helps.

Dissatisfied customers are likely to share their negative experiences with an average of 9-15 people, but with the reach of social media, their impact can be significantly amplified, potentially influencing a wider audience and damaging a salesperson's reputation and sales.

When dissatisfied with a product or service, customers are more likely to share their negative experiences with others. The exact number of people they may tell can vary, but it's often cited that dissatisfied customers will share their negative experiences with an average of 9 to 15 other people.

This number can increase significantly in the age of social media, where dissatisfied customers have the ability to reach a much larger audience through online platforms and reviews. Therefore, it's crucial for salespeople to address customer concerns and ensure customer satisfaction to prevent negative word-of-mouth and potential damage to their reputation.

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Answer:

Step-by-step explanation:

Commission = 2% of 2,50,000

                     \(= \frac{2}{100}*250000\\\\= 2 * 2500\\\)

                     = Rs. 5000

Answer:

1/24.

Step-by-step explanation:

There are 2 events here and they are independent, so the single probabilities are multiplied.

P(4 when die is rolled) = 1/6

P(A on the spinner) = 1/4

So, P(4 and A)

= 1/6 * 1/4

= 1/24.

The number in scientific notation is 4.901 * 10^7

The number is given as:

Number = 49,010,000

A number in scientific notation is represented as:

a * 10^b

Where a is any number between 1 and 10.

So, we have:

Number = 4.901 * 10^7

Hence, the number in scientific notation is 4.901 * 10^7

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A higher level of confidence results in a wider confidence interval, which means that there is a greater chance that the true value lies within the confidence interval.

The role of the following factors can be determined using the formula for a confidence interval percentage:

a) Sample size (percentage): The sample size (percentage) determines the size of the standard error in the estimate. The formula for calculating a confidence interval percentage takes into account the sample size and the variability of the data.

b) Variability: The variability is a measure of how much the data deviates from the mean or expected value. The variability is represented by the standard deviation of the data.

A higher variability results in a larger confidence interval, which means that there is a greater chance that the true value lies outside the confidence interval.

c) Level of confidence: The level of confidence determines the size of the confidence interval. The level of confidence is typically set to 95%, which means that there is a 95% chance that the true value lies within the confidence interval.

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Answer:

5 m

Step-by-step explanation:

$30 divided by $6 a m

30/6=5 m

Step-by-step explanation:

In geometry, the notion of line or straight line was introduced by ancient mathematicians to represent straight objects with negligible width and depth. Lines are an idealization of such objects, which are often described in terms of two points or referred to using a single letter.

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

I hope it helps you!

Measure of angles ∠Q,∠T,∠R are 98°, 98°, 82° respectively.

An isosceles trapezoid can be defined as a trapezoid whose non-parallel sides and base angles have the same measure. That is, if the two opposite sides (bases) of a trapezoid are parallel and the two non-parallel sides are of equal length, it is an isosceles trapezoid.

Given,

Isosceles trapezoid QRST

m∠S = 82°

Base angles are equal in Isosceles trapezoid

m∠R = m∠S

m∠R = 82°

and

m∠Q = m∠T

Sum of all interior angles of a quadrilateral is 360°

m∠Q + m∠T + m∠R + m∠S = 360°

m∠Q + m∠Q + 82° + 82° = 360°

2 m∠Q = 360° - 164°

2 m∠Q = 196°

m∠Q = 98°

m∠T = 98°

Hence, 98°, 98°, 82° are measure of angles ∠Q,∠T,∠R respectively.

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Answer:  c

Step-by-step explanation:

To determine if the variables "Insurance Type" and "Sex" are independent, we need to calculate the conditional probabilities of having a particular type of insurance given the sex. If the conditional probabilities are approximately equal for all combinations of insurance type and sex, then the variables are independent.

Given the data:

Row Labels   |   F   |   M   |   Grand Total

BCBS         |   9   |   4   |   13

Medicaid     |   10  |   4   |   14

Private      |   9   |   4   |   13

Self Pay     |   5   |   5   |   10

Grand Total  |   33  |   17  |   50

We can calculate the conditional probabilities of insurance type given sex by dividing the frequency in each cell by the corresponding row total.

For example, to calculate the conditional probability of having BCBS insurance given female (F), we divide the frequency in the "F" column for BCBS (9) by the row total for females (33):

P(BCBS|F) = 9/33 ≈ 0.273

Similarly, we can calculate the conditional probabilities for the other combinations of insurance type and sex.

If the variables "Insurance Type" and "Sex" are independent, the conditional probabilities should be approximately equal for all combinations. However, based on the provided data, the conditional probabilities are not approximately equal. For example, P(BCBS|F) is approximately 0.273, while P(BCBS|M) is approximately 0.235. This indicates that the probabilities of having a particular type of insurance vary depending on the sex.

Therefore, based on the calculated conditional probabilities, we can conclude that the variables "Insurance Type" and "Sex" are not independent.

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The missing side length in the figure is (a) 24 units

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

The similar polygons

To calculate the missing side length, we make use of the following equation

A : 30 = 4 : 5

Where the missing length is represented with A

Express as a fraction

So, we have

A/30 = 4/5

Next, we have

A = 30 * 4/5

Evaluate

A = 24

Hence, the missing side length is 24 units

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Step 1

Given;

Required; To simplify by combing terms

Step 2

Combine like terms.

Therefore, we will add them together

The full solution will be;

Answer;

Answer:

1/2 (1 and a half)

Step-by-step explanation:

We get this because 2/3  are half of a whole. If we take half of 2/3 and multiply it by 2 we get a whole number. In this case it is 1.

Answer:

i think its 7 units but im not completely sure

Step-by-step explanation:

We are given the following set of numbers.

38, 47, 43, 44, 44, 41, 44

We are asked to find the range and standard deviation.

Range:

The range is the difference between the maximum and minimum values in the data set.

The maximum value in the data set is 47.

The minimum value in the data set is 38.

So, the range is

The range is 9.

Standard deviation:

The standard deviation of a sample of data set is given by

Answer:

Area of a regular decagon with a perimeter of 60 ft. = 277 squared ft

Step-by-step explanation:

Decagon has 10 sides    So 60/10 = 6 (each side = 6ft )

The sum of the  interior angles of a decagon  is 1 440 degrees.

There are  10 equal isosceles triangles of base angles 72 degrees  in a decagon

Each isosceles triangle can subdivided into 2 right-angled triangles with height h and base length = (6/2) = 3 cm and base angle 72 degrees.

Height of right-angled triangle h = 3 tan 72 ft.

Area of 1 right-angled triangle = (1/2)(3)(3 tan 72) = 13.85 squared ft  

Area of decagon = 20 right-angled triangles = 277 squared ft

we know angles A and B are supplementary, thus their sum is 180°.

\(\stackrel{\measuredangle A}{(2x+26)}~~ + ~~\stackrel{\measuredangle B}{(x+25)}~~ = ~~180\implies 3x+51=180\implies 3x=129\\\\\\x=\cfrac{129}{3}\implies x=43~\hspace{10em}\stackrel{\measuredangle B = 43 + 25}{68}\)

The measure of angle m∠B = 112°

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.

Supplementary angles have a sum of 180°

Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.

( 2x+26 ) + ( x+25 ) = 180

Now we can combine like terms and apply the operations to find the value of x:

⇒ ( 2x+26 ) + ( x+25 ) = 180

⇒ 3x + 51 = 180

⇒ 3x  = 180 - 51

⇒ 3x  = 129

⇒ x = 129/3

⇒ x = 43

Then Angle B will have a measure of x+25 = 43 + 25 = 68°

m∠ B = 112°

The measure of Angle A will be :2x+26  = 2(43) + 26 = 112°

m∠A = 68°

Thus, the measure of angle m∠B = 112°

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Answer: x = -4 or 8

Step-by-step explanation:

    To solve, we will isolate the x-variable. Since this is a parabola (as shown by the square) we will either have 1 or 2 answers.

    Given:

6(x - 2)² + 7 = 223

    Subtract 7 from both sides of the equation:

6(x - 2)² = 216

    Divide both sides of the equation by 6:

(x - 2)² = 36

    Square root both sides of the equation:

* Since we square rooted, we will have the positive and negative result

x - 2 = 6           x - 2 = -6

    Add 2 to both sides of the equation, for both equations:

x = 8           x = -4

          x = -4 or 8

A reasonable number of students who can be served with 8 gallons of punch is equal to: A. 120

In Mathematics, an inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:

Based on the information provided, an inequality which represents this situation is given by;

x/16 ≤ 8

Cross-multiplying, we have;

x ≤ 8 × 16

x ≤ 128

Therefore, the number of students that can be served must be less than or equal to 128.

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Complete Question:

Mr. Jones needs at least 1 gallon of punch for every 16 students at the school dance. He has 8 gallons of punch. The inequality below represents this situation, where x is the number of students that can be served.

x/16 ≤ 8

What is a reasonable number of students who can be served with 8 gallons of punch?

A. 120

B. 130

C. 160

D. 200

Answer:

−54v−27y+36

Step-by-step explanation:

hope this helped

have a good day ^^

Answer:

1/12

Step-by-step explanation:

Assuming his choices are equally likely (important: he's choosing randomly)...

Probability of selecting chocolate: 1/4  (1 of 4 equally likely choices)

Probability of selecting waffle cone:  1/3

Probability of selecting both:  1/4 x 1/3 = 1/12

Now, if you'll excuse me, I'm off to get ice cream!  :-)

Answer:

39200

Step-by-step explanation:

Revenue = number of cameras * cost

R(m) = N(m) * C(m)

        = (50m+600) * (4m^2-15m+45)

The months since may is June July August September = 4 months

R(4) = (50*4+600) * (4*4^2-15*4+45)

        (200+600) * (64-60+45)

           800*49

                39200

Answer:

39,200

Step-by-step explanation:

September is 4 months after may, so m = 4

No. of cameras:

N(4)=50(4)+600 = 800

Cost per camera:

C(4)=4(4²)-15(4)+45 = 49

Total cost:

N × C

800 × 49

39200

The Solution set for the inequality x - \(6\frac{1}{3}\) ≤ \(1\frac{1}{2}\)  is {x | x ∈ R, x ≤ \(7\frac{5}{6}\)}  , the correct option is (a) .

In the question ,

the inequality is given as

x - \(6\frac{1}{3}\) ≤ \(1\frac{1}{2}\)

we first convert the complex fractions into normal fractions ,

\(6\frac{1}{3}\) = (6 * 3 + 1)/3 = 19/3

and  \(1\frac{1}{2}\) = (1 * 2 + 1)/2 = 3/2

rewriting the given inequality , we get

x - 19/3 ≤ 3/2

adding 19/3 to both sides of the equation ,

we get ,

x ≤ 19/3 + 3/2

Taking LCM of 3 and 2 as 6 and

Simplifying further ,

we get ,

x ≤ 38/6 + 9/6

x ≤ 47/6

x ≤ \(7\frac{5}{6}\)

Therefore , the solution set is {x | x ∈ R, x ≤ \(7\frac{5}{6}\)}  .

The given question is incomplete , the complete question is

Given: x - \(6\frac{1}{3}\) ≤ \(1\frac{1}{2}\) . Choose the solution set.

(a) {x | x ∈ R, x ≤ \(7\frac{5}{6}\)}

(b) {x | x ∈ R, x ≤ \(7\frac{2}{5}\)}

(c) {x | x ∈ R, x ≤ \(5\frac{1}{6}\)}

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Answer:20.25

Step-by-step explanation:

Answer:

455m

Step-by-step explanation:

We know that acceleration is acceleration due to gravity, which is 10m/s, and initial speed u=0m/s

Use the motion equation to find distance when t=10:

d=ut+(1/2)at²

d=0t+(1/2)(10)(10²)

d=500m

The distance travelled in the seven seconds following the first three = 500-45=455m

The ductility, expressed as percentage elongation, can be calculated for each sample after deformation. For the circular rod,the ductility is 16.67% elongation and for rectangular rod is approximately 5.77% elongation.  

Ductility is a measure of a material's ability to undergo plastic deformation without fracturing. It is typically expressed as the percentage elongation, which indicates how much the material can stretch before breaking.

To calculate the percentage elongation, we use the formula:

Percentage Elongation = (Deformed Length - Original Length) / Original Length * 100

For the circular rod:

Original diameter = 18 mm

Deformed diameter = 15 mm

Percentage Elongation = (15 - 18) / 18 * 100 ≈ -16.67%

Since the percentage elongation is negative, it indicates a reduction in length. However, we consider the absolute value of the percentage to obtain the ductility. Therefore, the ductility of the circular rod is approximately 16.67% elongation.

For the rectangular rod:

Original width = 22 mm

Original length = 52 mm

Deformed width = 17 mm

Deformed length = 55 mm

Percentage Elongation = [(55 - 52) / 52] * 100 ≈ 5.77%

The ductility of the rectangular rod is approximately 5.77% elongation.  Please note that the values provided are approximate and rounded for simplicity.

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Answer:

A width of 3 and a length of 9

Step-by-step explanation:

To solve this problem, we're going to have to create an equation. So, let's call the width w. The length of the rectangle is three times the width, so the length will be 3w. The total area is 27, and the length times the width must equal the area, so this gives us the following equation:

w(3w) = 27

Let's simplify and start solving.

3w² = 27

3w²/3 = 27/3

w² = 9

√w² = √9

w = 3

Remember, we defined w as the width. So, the width of the rectangle is 3. The length is 3w, or three times the width, so the length must be 9. And these are our dimensions: 3 × 9.