an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. the heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the legnth of the shorter base of each trapezoid is 1.5 centimeters. what is the total area of the face of the watch to the nearest tenth of a square centimemter

The probability their sum is even without replacement is 39/52

Probability: Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

It is given that if we randomly select 4 numbers from the set of the first 16 prime numbers, without replacement, then the probability that their sum i seven is,

2,3,5,7,11,13,17,23,27,29,31,37,41,43,49,51 are the first 16 prime numbers.

Even numbers are always produced when two odd numbers are joined together.

Odd numbers are always created when Even numbers are added to Odd numbers.

In the list of 16, there is just one even number. If that is one of the options, then the outcome will only be odd. As the same number cannot be selected twice, there is a 15/16 chance that it won't be chosen the first time. There is also a 14/15 chance that it won't be chosen the second time, a 13/14 chance the third time, and a 12/11 chance the fourth time.

By multiplying these four probabilities, we may get the probability of an even sum. The odds of a total that is even are therefore,

32760/43680=39/52=0.75

The probability their sum is even without replacement is 39/52

To learn more about Probability visit:

brainly.com/question/11234923

#SPJ4

The model is a representation of the polynomial factors using algebraic

tiles.

The equation represented by the model is the option;

Reasons:

The parameters of the model of the polynomial and the factors of the

polynomial are;

The number of factors of the polynomial = 2

1 of the four tiles is labelled x

3 of the four tiles is labelled -ve

Therefore;

A factor of the polynomial is x-tile, -tile, -tile, -tile = (x tile - 3 tiles) = (x - 3)

1 of the two tiles is labelled x

1 of the two tiles is labelled -ve

Which gives;

A factor of the polynomial is x, -tile = (x-tile - 1 tile) = (x - 1)

The 8 tiles are as follows;

1 of the 8 tiles is labelled x²

4 of the 8 tiles are labelled -x

3 of the 8 tiles are labelled +

Which gives;

The product of the polynomial is; (x²-tile - 4·x-tiles + 3-tiles) = (x² - 4·x + 3)

Multiplying the factors gives;

(x - 3) × (x - 1) = x² - 3·x - x + 4 = x² - 4·x + 3

The correct option is therefore;

The question options are;

x² - 2·x - 3 = (x - 3)·(x + 1)

x² - 4·x + 3 = (x - 3)·(x - 1)

x² + 2·x + 3 = (x + 3)·(x - 1)

x² + 4·x - 3 = (x + 3)·(x + 1)

Learn more about the factors of a polynomial here:

https://brainly.com/question/20294436

Answer:

2: add 4

3: 6

5: multiply by 2

6: 7

Step-by-step explanation:

A poll that attempts to predict election outcomes, but is conducted unscientifically (without random sampling, stratification for important groups, etc.) is called straw polls .

Given,

Poll that attempts to predict election outcomes, but is conducted unscientifically .

Here,

A straw poll is an unofficial vote, which can be used to more-or-less estimate levels of support for a notion, and which can be used to back-up voting on it (i.e. shows that there is enough interest to deal with the topic).

Know more about straw polls,

https://brainly.com/question/515220

#SPJ4

Answer:

C. Translation 5 units left and 2 units down

Step-by-step explanation:

Let's take a look at A', which is (0, 0). This is the result of A, which is (5, 2) being transformed somehow. Notice that the x-coordinate moved 5 units to the left (from 5 to 0, which means we subtract 5 from 5). And, notice that the y-coordinate moved 2 units down (from 2 to 0, so we subtract 2 from 2).

Look to see if this works for the other two points:

B(6, 1): if we subtract 5 from the x-coordinate 6, we get 6 - 5 = 1, which matches the x-coordinate of the image B'. If we subtract 2 from the y-coordinate of B, which is 1, we get 1 - 2 = -1, which also matches the y-coordinate of B'. So, this works.

C(4, 5): if we subtract 5 from the x-coordinate 4, we get 4 - 5 = -1, which matches the x-coordinate of the image C'. If we subtract 2 from the y-coordinate of C, which is 5, we get 5 - 2 = 3, which also matches the y-coordinate of C'. So, this again works.

Therefore, we know that the transformation is a translation 5 units left and 2 units down, or C.

A picture will be shown below of a graph with the points in the table.

We only need to use (5, 2) and (0, 0) to solve this problem.

We take both points and see what it took for the old point to get to where the new point is (Shown in picture below).

Therefore, the answer is [ C. Translation 5 units left and 2 units down ]

Best of Luck!

Answer:

\( \huge{ \boxed{ \bold{ \tt{ - 5}}}}\)

☪\( \tt{Question} : \)

☥ \( \tt{Step - by - step \: explanation : }\)

☄\( \tt{Solution : }\)

\( \sf{Step \: 1} : \) Assign one of the ordered pairs to be ( x₁ , y₁ ) and another to be ( x₂ , y₂ )

\( \sf{Step \: 2} : \) Substitute values into the slope formula and then simplify :

\( \boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1}}} \)

↦ \( \sf{ \frac{ - 8 - ( - 3)}{1 - 0}} \)

↦ \( \sf{ \frac{ - 8 + 3}{1} }\)

↦ \( \boxed{ \sf{ - 5}}\)

Hence , Our answer is \( \boxed{ \sf{ - 5}}\).

Hope I helped!

Have a wonderful day / night ツ

~TheAnimeGirl ♪

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Your score must be greater than or equal to 81 in order to receive an A grade. The mean value comes out to be 80.52.

Here, we are given that professor Degroot has a policy of giving A grade to the top 10% of student scores on his final.

This means in order to earn an A grade, your score should be in the top 10%.

⇒ Z score should be 0.09

we can look at the z tables to find that this value is at z = 1.28

Now, we know z score is calculated as-

z = (X - μ)/ σ

where X = observed value

μ = sample mean

σ = standard deviation

substituting the given values in the formula we get-

1.28 = (X - 69)/ 9

1.28 × 9 = X - 69

11.52 = X - 69

X = 11.52 + 69

X = 80.52

Thus, your score must be greater than or equal to 81 in order to receive an A grade.

Learn more about z tables here-

https://brainly.com/question/25638875

#SPJ4

There are 3 terms in expression 7\(x^{2}\)-5x+5.

Monomials, binomials, trinomials, and polynomials are all examples of algebraic expressions in mathematics. Algebraic expressions are those that are modeled utilizing unknowable constants, coefficients, and variables. A variable can have any value because it is not fixed, unlike a constant, which has a definite value. Monomials, binomials, trinomials, and polynomials are examples of algebraic expressions that are created by combining variables and constants using arithmetic operations. Terms are the components of algebraic expressions that are separated by addition or subtraction. The type of expression—monomial, binomial, trinomial, or polynomial—depends on the number of terms.

An algebraic expression with three terms is called a trinomial.

To learn more about expression here:

https://brainly.com/question/28980347

#SPJ4

Answer:

because -8 < 5 < 6 < |-7| < 8

Answer:

C

Step-by-step explanation:

Let's define the vocabulary.

What is an integer?

An integer is a number that is not a fraction or decimal. They are all whole numbers, positive and negative.

I see that there are absolute values. Absolute value means the distance from the number to 0. Use a number line!

Let's solve it.

-8 comes first since it is the only negative. Then comes 5, since it is the smallest positive. Then 6, then the absolute value of -7. Remember that the absolute value is the distance form 0. If you use a number line, -7 is 7 units away from 0, so the absolute value of -7 is 7! Then, last but not least, 8.

The correct answer is C.

Hope that helped!

Answer:

the anwser is c plz give brainlist

Answer:

A function rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3.

Step-by-step explanation:

Answer: The Function Rule is Y= 5x-3

Hopes that helps

Answer:

∠A≅∠Y        AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X         BC≅ZX

ΔABC ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Using the Excel Regression tool on the Weddings dataset with wedding cost as the dependent variable and attendance as the independent variable, the key regression results, hypothesis tests, and confidence intervals should be interpreted.

After applying the Excel Regression tool with wedding cost as the dependent variable and attendance as the independent variable, the key regression results should be examined. These results typically include coefficients, standard errors, t-values, p-values, and confidence intervals. The coefficient for the independent variable (attendance) represents the estimated change in the wedding cost for each unit increase in attendance. Hypothesis tests and confidence intervals help assess the statistical significance and precision of the estimated coefficients. The t-value indicates the strength of evidence against the null hypothesis of no relationship between the variables, and the p-value indicates the probability of observing the estimated coefficient under the null hypothesis. Lower p-values suggest stronger evidence against the null hypothesis. To validate the assumptions of the regression analysis, the residuals (the differences between the observed and predicted values) should be analyzed. Residual plots can be examined to check for patterns or deviations from assumptions, such as linearity, independence, and constant variance. Outliers can be identified by examining the standardized residuals. Values with high absolute values indicate potential outliers. To estimate the budget for a wedding with 175 guests, the regression model can be used to predict the corresponding cost. The attendance value of 175 can be plugged into the regression equation, and the predicted wedding cost can be obtained.

To know more about regression here: brainly.com/question/32505018

#SPJ11

Answer:

1/125

Step-by-step explanation:

=1/5*5*5

=1/5^3

=1/125

Using exponent rules, when a number is raised to a negative exponent, change the exponent to positive and make a fraction with 1 as the numerator and the number as the denominator:

5^-3 = 1/(5^3)

Answer:   answer is 19 !!

Step-by-step explanation:

Outliers or extreme skewness in the distribution of pumpkin weights would be clear signs that they are not normally distributed.

There are several signs that can indicate the pumpkin weights are not normally distributed based on the farmer's sample of 20 pumpkins with a mean weight of 26 lb.

Skewed Distribution: If the distribution of pumpkin weights is noticeably skewed, it suggests a departure from normality. Positive skewness occurs when the tail of the distribution is stretched towards higher values, indicating a higher number of lighter pumpkins.

Negative skewness is the opposite, with a tail stretched towards lower values, suggesting a higher number of heavier pumpkins.

Outliers: The presence of extreme values that deviate significantly from the majority of the data can be a clear sign of non-normality. If there are a few pumpkins with exceptionally high or low weights compared to the rest, it indicates the presence of outliers and a potential departure from a normal distribution.

Bimodal or Multimodal Distribution: If the pumpkin weights exhibit multiple peaks or modes instead of a single bell-shaped curve, it suggests a non-normal distribution. This could indicate the presence of distinct subpopulations of pumpkins with different weight ranges.

Non-linear Patterns: If there is a distinct non-linear pattern or trend in the data, it deviates from a normal distribution. For example, if there is a systematic increase or decrease in weights as the pumpkin size increases, it suggests a departure from normality.

Departure from the 68-95-99.7 Rule: In a normal distribution, approximately 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. If the sample data significantly deviates from these percentages, it indicates a departure from normality.

It is important to note that these signs alone do not definitively prove that the pumpkin weights are not normally distributed. Further statistical tests such as the Shapiro-Wilk test, Anderson-Darling test, or visual inspections of a histogram, Q-Q plot, or kernel density plot can provide more evidence to assess the distributional assumption.

For more question on weights visit:

https://brainly.com/question/30237339

#SPJ8

The null hypothesis is rejected if the p-value is lower than or equal to the chosen significance threshold; otherwise, it is not. To put it another way, if p, reject  \(H_{0}\); if p>, do not reject \(H_{0}\).

This criterion, known as (alpha) in null hypothesis testing, is often set to 05. The rejection of the null hypothesis is if there is less than a 5% probability that a result as dramatic as the sample result would occur if the null hypothesis is accepted. The outcome is referred to as statistically significant when this occurs.

If a statistical test is run with a threshold of significance = 0.1, 0.05, and 0.01 the null hypothesis was rejected.

The alternative hypothesis is taken into consideration instead of the null hypothesis if the P value is less than alpha, the predetermined level of statistical significance.

Learn more about the null hypothesis at

https://brainly.com/question/16945299?referrer=searchResults

#SPJ4

A) The new box with dimensions 10cm by 10cm by 3cm holds more cereal.

B) The new box with dimensions 10cm by 10cm by 3cm requires more material to make.

To determine which box holds more cereal, we need to calculate the volume of each box.

The volume of a rectangular box is given by the formula:

Volume = Length × Width × Height

Let's calculate the volumes for both boxes:

Original Box:

Length = 8 cm

Width = 3 cm

Height = 11 cm

Volume = 8 cm × 3 cm × 11 cm = 264 cm³

New Box:

Length = 10 cm

Width = 10 cm

Height = 3 cm

Volume = 10 cm × 10 cm × 3 cm = 300 cm³

A) The new box with dimensions 10cm by 10cm by 3cm holds more cereal because it has a larger volume of 300 cm³ compared to the original box with a volume of 264 cm³.

To determine which box requires more material to make, we need to calculate the surface area of each box.

The surface area of a rectangular box is given by the formula:

Surface Area = 2 × (Length × Width + Length × Height + Width × Height)

Let's calculate the surface areas for both boxes:

Original Box:

Length = 8 cm

Width = 3 cm

Height = 11 cm

Surface Area = 2 × (8 cm × 3 cm + 8 cm × 11 cm + 3 cm × 11 cm) = 374 cm²

New Box:

Length = 10 cm

Width = 10 cm

Height = 3 cm

Surface Area = 2 × (10 cm × 10 cm + 10 cm × 3 cm + 10 cm × 3 cm) = 380 cm²

B) The new box with dimensions 10cm by 10cm by 3cm requires more material to make because it has a larger surface area of 380 cm² compared to the original box with a surface area of 374 cm².

For similar question on rectangular box.

https://brainly.com/question/29198652

#SPJ11

Answer: x =104

Step-by-step explanation:

If we draw the black line shown in the figure, two isosceles triangles are formed, and the base angles of the isosceles triangles are the same. The red angles are the same and the green ones too. The 104 degree angle is the sum of the red angle and the green angle, and x is also the sum of the red angle and the green angle, therefore x = 104.

Answer:

Vernier caliper

Step-by-step explanation:

The paper towel is circular in shape, should he use the ruler he may come up with a value but the value may not be accurate.

Hence the measuring instrument Justin should use is a vernier caliper, which is a measuring device that can be used to measure the external diameter of the roll of paper

4.34 quarts is equivalent to 4,111,568.832 microliters.

To convert from quarts to microliters, you can use the following conversion factors:
- 1 quart = 946.352946 mL
- 1 mL = 1000 microliters

First, convert quarts to milliliters:
4.34 quarts * 946.352946 mL/1 quart = 4109.8697 mL

Next, convert milliliters to microliters:
4109.8697 mL * 1000 microliters/1 mL = 4,109,869.7 microliters

Round to the nearest whole number to get the final answer:
4,109,870 microliters

So, 4.34 quarts is equivalent to 4,109,870 microliters.

For more similar questions on quarts:

brainly.com/question/433297

#SPJ11

The standard deviation of the data set will increase by a factor of 10. This is because standard deviation measures how much variation or dispersion exists from the mean of a data set. Adding 10 to every value of the data set will increase the overall spread of the data and thus increase the standard deviation.  

To prove this mathematically, let's consider a data set A with mean M and standard deviation SD. Let's add 10 to every value of the data set to get a new data set B. The mean of set B is M+10 and the standard deviation of set B is SD'.   The formula for SD' is:  

SD':\(\sqrt{(x_{1} -(M+10))^{2} +(x_{2} -(M+10))^2+ (x_{3}-(M+10))^2 +...+ (x_{n}-(M+10))^2)/n }\) We can simplify this by substituting the values for the xi:

 SD' =\(\sqrt{(((x_{1}-M-10)^2 + (x_{2}-M-10)^2 + (x_{3}-M-10)^2 +...+ (x_{n}-M-10)^2)/n) }\)  Now let's consider the original data set A and its standard deviation SD:

 SD =\(\sqrt{(((x_{1}-M)^2 + (x_{2}-M)^2 + (x_{3}-M)^2 +...+ (x_{n}-M)^2)/n) }\) ,We can substitute the values for xi in this formula as well:  

SD= \(\sqrt{ (((x_{1}-M-10)^2 + (x_{2}-M-10)^2 + (x_{3}-M-10)^2 +...+ (x_{n}-M-10)^2)/n)}\)  If we compare SD and SD', we can see that they are identical, except that the value of M has been replaced with M+10. This means that when we add 10 to every value of the data set, the standard deviation increases by a factor of 10.

To know more about  standard deviation refer to the link brainly.com/question/23907081

#SPJ4

The expression 25w² - 60w + 36 can be factored as the square of the binomial(5w - 2)², which represents a perfect square trinomial.

To factor the given special product, 25w² - 60w + 36, we can apply factoring techniques specifically designed for special products.

The expression can be rewritten as a perfect square trinomial by taking the square root of the first and last terms:

(5w)² - 2(5w)(2) + (2)².

Now, we can see that this expression is in the form of (a - b)², where a = 5w and b = 2.

Using the formula for the square of a binomial, (a - b)² = a² - 2ab + b², we can simplify the expression:

(5w - 2)².

Therefore, the factored form of the special product 25w² - 60w + 36 is (5w - 2)².

To learn more about the quadratic expression;

https://brainly.com/question/17177510

#SPJ4

For a second order differential equation t²y'' - 4ty' + 6y = 0, general solution is of the form y(t) = c₁t² + c₂t³, so another solution other than y₁(t) = t² is y₂(t) = t³.

Given solution to t²y'' - 4ty' + 6y = 0 is

y₁(t) = t²

Using the method of reduction of order, let us assume, y₂(t) = v(t)y₁(t) is a solution to t²y'' - 4ty' + 6y = 0 for suitable choice of v(t). So,

y₂ = vt²

y₂' = 2vt + t²v'

y₂'' = 2v + 2tv' + 2tv' + t²v''

y₂'' = 2v + 4tv' + t²v''

Substituting this

t²×( 2v + 4tv' + t²v'') - 4t×(2vt + t²v') + 6×(vt²) = 0

t⁴v'' = 0

v'' = 0

v' = c, c is a constant

v = ct

Therefore, y₂(t) = ct×t²

y₂ (t) = ct³

Therefore general solution will be y(t) = c₁t² + c₂t³

To know more on second order differential equation

https://brainly.com/question/15520567

#SPJ4

Answer:

ORange =1 -2

Step-by-step explanation:

Step-by-step explanation:

From the given figure , we can see that there are two angles whose measures are x and 2x - 30°. If we notice they are the angles on the same segment . ( Draw a line through the end points of the two lines , and they will be on the same chord) . And we know that angles of the same segment are equal . Therefore ,

\(\tt\to x = 2x - 30^o \\\\\tt\to 2x - x = 30^o \\\\\tt\to\boxed{\orange{\tt x = 30^o }}\)

This is our required answer.

Answer:

50%

Step-by-step explanation:

beacuse their are only 2 options which means 50% for each option. so when the student goes to pick there is a 50% chance their pick either one.