Jeffrey estimates there's a 40% chance to eat pizza for dinner, it's 60% chance he'll drink cold out, and it's 30% chance to eat pizza and drink Cola. What's the probability of Jeffrey drinking cola, if he eats Pizza?​

Answer:

B

Step-by-step explanation:

Every input has exactly one output

The Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

To investigate whether the span of a person's dominant hand is greater than that of their non-dominant hand, the most appropriate statistical technique would be the Paired samples t-test.

The Paired samples t-test is used when comparing the means of two related groups or conditions. In this case, the dominant and non-dominant hands are related because they belong to the same individuals in the study. By comparing the means of the dominant and non-dominant hand spans, we can determine if there is a significant difference between the two.

The other options listed, ANOVA (Analysis of Variance), Independent samples t-test, Wilcoxon's matched-pairs signed rank test, and Mann-Whitney U test, are not suitable for this scenario because they are designed for different types of comparisons:

- ANOVA is used when comparing the means of three or more independent groups, which is not the case here.

- Independent samples t-test is used when comparing the means of two independent groups, which is not the case here as the measurements are paired.

- Wilcoxon's matched-pairs signed rank test and Mann-Whitney U test are non-parametric tests that are used when the data do not meet the assumptions of parametric tests. However, in this case, we have paired measurements, and the paired samples t-test is the appropriate parametric test.

Therefore, the Paired samples t-test is the most suitable statistical technique for comparing the mean span of the dominant and non-dominant hands in this study.

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Answer:

80 degrees

Step-by-step explanation:

The sum of the interior angles of any quadrilateral is 360 degrees. Adding up the known measures gives you 95 + 123 + 62 = 280. Then you can subtract that from 360. 360 - 280 = 80. So x has to be 80 degrees.

The first error is step (1) and it is the error in calculating the terminal angle 17π/3 - 2π

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

Step 1 to 3

In step 1, we have

17π/3 - 2π = 5π/3

We calculate the difference to check for correctness

So, we have

(17π - 6π)/3 = 5π/3

Evaluate

11π/3 = 5π/3

The above equation is false

Hence, the step that contains the first error is step (1)

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Answer:

Step-by-step explanation:

A = 2⁵ * 3⁷ * 5

B = 2⁸ * 3³ * 7

HCF = 2⁵ * 3³

HCF is the common factors found in both A & B. In common factors write the factor with minimum power

LCM = 2⁸ * 3⁷ * 5 * 7

LCM -> Write the common factors with maximum power and write all the other factors that are not common.

Answer:

The measure of the interior angle C is \(108^{o}\).

Step-by-step explanation:

Sum of angles in a polygon = (n - 2) x 180

where n is the number of sides of the polygon.

For a hexagon, n = 6. So that;

Sum of angles in a hexagon = (6 - 2) x 180

                                     = 4 x 180

                                     = \(720^{o}\)

Sum of angles in a hexagon = \(720^{o}\)

⇒ 3x + 15 + 2x + 30 + 5x + 10 + 2x + 55 + 2x + 60 + x - 35 = \(720^{o}\)

15x + 135 = \(720^{o}\)

15x = \(720^{o}\) - 135

15x = 585

x = \(\frac{585}{15}\)

  = \(39^{o}\)

But,

C = 2x + 30

   = 2(39) + 30

   = 78 + 30

   = \(108^{o}\)

The measure of the interior angle C is \(108^{o}\).

Stokes' theorem and Green's theorem is the option that connects a line integral to a surface integral.

Stokes' theorem is a fundamental result in vector calculus that relates a line integral of vector field around a closed curve to a surface integral of the curl of the vector field over the surface by that curve. It states that line integral of a vector field F around a closed curve C is equal to the surface integral of the curl of F over any surface S bounded by C. Mathematically, it can be written as:

∮_C F · dr = \(\int\limits\int\limitsS (curl F)\) · \(dS\)

Green's theorem relates a line integral of a vector field around a simple closed curve to a double integral of divergence of the vector field over the region enclosed by the curve. It states that the line integral of a vector field F around a closed curve C is equal to the double integral of the divergence of F over the region D enclosed by C. Mathematically, it can be written as:

∮_C F · dr = ∬_D (div F) dA

Therefore, both Stokes' theorem and Green's theorem establish the connection between a line integral and a surface integral, relating them through the curl and divergence of the vector field, respectively.

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Line ET is tangent to circle A at T, and the measure of arc TG is 46 and the measure of O is 67°.

Tangents to circles are lines that cross the circle at a single point. Point of tangency refers to the location where a tangent and a circle converge. The circle's radius, where the tangent crosses it, is perpendicular to the tangent. Any curved form can be considered a tangent. Tangent has an equation since it is a line. A line that touches a circle just once is said to be tangent to it. A point tangent to circle can only have one tangent. The intersection of the tangent and the circle is known as the point of tangency.

Now, \(\angle {TEG} =\)180-90-23=67°

as line TE is tangent to circle and it is perpendicular to line NT.

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Answer:

mean 38.22

median 34

mode 13 & 34

range 56

Step-by-step explanation:

mean- add all values together and divide by number of values

median- order from least to greatest find the middle value

mode- the value that appears most often, can be more than one value

range- smallest value subtracted from the largest

Answer:

In the text they have already mentioned that Jasper use "p" points.

Emily has twice as many points as Jasper, so the equation is 2p

p+2p=18

Simplifying, we get

3p=18.

So the answer is A

The equation that can be used to find x in the triangle is x + 86 = 180

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the angle of x in the triangle.

Triangle DEF is shown above. Therefore, the equation that can be used to find the value of x can be calculated as follows:

49 + 37 + x = 180

Therefore, the equation is as follows:

x + 86 = 180

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An equation that could be used to find the value of x is: B. x + 86° = 180°.

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the sum of all of the interior angles of a triangle is always equal to 180 degrees. In this scenario, we can logically deduce that the sum of the given angles are supplementary angles:

m∠1 + m∠2 + m∠3 = 180°

37° + 49° + m∠3 = 180°

86° + m∠3 = 180°

x + 86° = 180° (required equation)

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Answer:

72 or C is the correct answer :)

Step-by-step explanation:

Because it is not 80 eighty is the most thing but 72 is the median.

There were 1542 yes votes

Parameters:

Total votes = 2570

Ratio of yes votes to no votes = 3:2

Sum of ratios = 3 + 2 = 5

The given statement means if 2570 was divided into 5, yes votes take 3 part of the votes, and no votes take the remaining 2.

So

Yes Votes = (3/5)*2570

= 1542

No Votes = (2/5)*2570

= 1028

Answer:

Step-by-step explanation:

These angles are equal because the parallel lines are traversed by a straight line.

17x-6=15x+10 add 6 to each side

17x=15x+16. Subtract 15x from each side

2x=16. divide each side by 2

x=8

Based on the given information, g(x) has a larger average rate of change than f(x) = 2^x over that interval.

What is a function?

A function is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output.

To determine which function has a larger average rate of change between x=2 and x=3 than f(x) = 2^x, we need to find the average rate of change of f(x) over that interval first.

The average rate of change of f(x) between x=a and x=b is given by:

(f(b) - f(a))/(b - a)

In this case, a=2 and b=3, so we have:

(f(3) - f(2))/(3 - 2)

= (2^3 - 2^2)/(1)

= (8 - 4)/(1)

= 4

So the average rate of change of f(x) between x=2 and x=3 is 4.

Now we need to find another function whose average rate of change over the interval (2, 3) is greater than 4.

One such function could be g(x) = 3x - 4. To find its average rate of change over the interval (2, 3), we have:

(g(3) - g(2))/(3 - 2)

= (3(3) - 4) - (3(2) - 4))/(1)

= (5)/(1)

= 5

Since the average rate of change of g(x) over (2, 3) is greater than 4, we can conclude that g(x) has a larger average rate of change than f(x) = 2^x over that interval.

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She must deposit approximately \($826,920.01\) at the end of each quarter, and the interest earned will be approximately \($673,079.99\).

Desired accumulated amount (A) = \($1,500,000\)

Annual interest rate (r) = 8% or 0.08

Number of compounding periods per year (n) = 4 (quarterly compounding)

Number of years (t) = 10

To find the deposit amount (P), we can use the formula:

\(\[ P = \frac{A}{\left(1 + \frac{r}{n}\right)^{nt}} \]\)

Let's substitute the given values and calculate P:

\(\[ P = \frac{1,500,000}{\left(1 + \frac{0.08}{4}\right)^{4 \times 10}} \]\)

Simplifying further:

\(\[ P = \frac{1,500,000}{(1.02)^{40}} \]\)

\(\[ P \approx \frac{1,500,000}{1.818446957} \approx 826,920.01 \]\)

The deposit amount (P) is approximate \($826,920.01\).

To calculate the interest earned, we can subtract the total deposit amount from the desired accumulated amount:

\(\[ \text{Interest Earned} = A - \text{Total Deposit} = 1,500,000 - 826,920.01 \approx 673,079.99 \]\)

The interest earned is approximate \($673,079.99\).

Therefore, she must deposit approximately \($826,920.01\) at the end of each quarter to accumulate \($1,500,000\) after 10 years. The interest earned will be approximately \($673,079.99\).

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The graduate student can pack their books in 16 different ways.

the graduate student can pack one book from each subject in the following ways:

- choose one of the 2 analysis textbooks.- choose one of the 2   probability    textbooks.

- choose one of the 4 financial math textbooks.

by the multiplication principle, the total number of ways to pack the books is equal to the product of the number of choices for each subject:

2 analysis textbooks × 2 probability textbooks × 4 financial math textbooks = 16

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Answer:

55 square inches.

Step-by-step explanation:

Total Area = area of the triangular roof + area of the rectangular wall

= 1/2 * 10 * 3 + 5 * 8

= 15 + 40

= 55..

Answer:

1.75x \(\leq\) 25

x = 14

Step-by-step explanation:

Because each pack of paper costs $1.75, we have to find the number of packs so that the total amount does not exceed $25.

Therefore, the inequality is 1.75x \(\leq\) 25. Dividing both sides, by 1.75, x = 14.2857... You cannot have 14 and 2/7 of a packet, so the greatest number of packets you can buy is 14. x = 14

I'm attaching a graph of the inequality below.

hope this helps! <3

Answer:

abc- 130

ebd-130

abe-50

Step-by-step explanation:

There were 10 different combinations to the multiple choice questions.

Combination is defined as “An arrangement of objects where the order in which the objects are selected does not matter.” The combination means “Selection of things”, where the order of things has no importance.

It is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

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

where n = 5

r = 3

\(C_{5,3} = \frac{5!}{(5-3)!3!} \\= \frac{5!}{2!3!}\)

= \(\frac{5(4)(3!)}{2!3!}\)

= 20/2

= 10 ways

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From the present question, let's say that the missing angles are a, b, and c. We know that the sum of the other seven is equal to 1220°. By definition, the sum of the inner angles of any polygon is given by:

In the present case, n = 10. Which means:

From the information given, we are able to say that:

Here we found the first equation. The information about supplementary and complementary angles can be written as:

Now we have the following system of equations:

If we substitute the second equation in the first one, we are able to find the value for c. Performing this calculation, we find the following:

With this value, we are able to substitute the value of c in the third equation, and find the value of b, as follows:

Now, we can substitute the value of b in the second equation of the system, to find the value of a, as follows:

Now, from all the given information, we were able to find that, the three missing angles are:

Because the question did not name the angles, their name and order are not important, just the values.

The attack rate among the unvaccinated children is 9.68%.

The attack rate is a measure of the proportion of individuals who develop a disease within a specific population or group. In this case, we want to calculate the attack rate among the unvaccinated children who developed measles.

Total number of unvaccinated children: 4,810

Number of unvaccinated children who developed measles: 466

Attack rate = (Number of unvaccinated children who developed measles / Total number of unvaccinated children) * 100

Attack rate = (466 / 4,810) * 100

= 0.0968 * 100

= 9.68%

The attack rate among the unvaccinated children in the given measles outbreak is 9.68%. This means that approximately 9.68% of the unvaccinated children contracted measles during the outbreak.

This highlights the importance of vaccination in preventing the spread of measles and protecting individuals from the disease.

Vaccination not only reduces the risk of infection in vaccinated individuals but also contributes to herd immunity, which helps protect those who cannot be vaccinated, such as infants or individuals with compromised immune systems.

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Answer:

B i believe x -y

Step-by-step explanation:

sorry if its no help <3

Answer:

c. (-x, y)

Step-by-step explanation:

Answer:

Exponential

Step-by-step explanation:

Linear is easy to remember because it goes in a straight LINE.

Only other option is a quadratic and this does not create a parabola

The variance of the given data set is approximately 0.446.

To calculate the variance of the given data set, we need to follow these steps:

1. Calculate the difference between each temperature and the mean.

  Subtract the mean (4.312) from each temperature in the data set:

  (5.07 - 4.312), (3.57 - 4.312), (5.32 - 4.312), (3.19 - 4.312), (3.49 - 4.312), (4.25 - 4.312), (4.76 - 4.312), (5.19 - 4.312), (3.94 - 4.312), (4.34 - 4.312).

2. Square each of the differences obtained in step 1.

  Square each difference:

  (0.758)^2, (-0.742)^2, (1.008)^2, (-1.122)^2, (-0.822)^2, (0.062)^2, (0.448)^2, (0.878)^2, (-0.372)^2, (0.028)^2.

3. Calculate the sum of the squared differences from step 2.

  Sum all the squared differences: 0.574564 + 0.549364 + 1.016064 + 1.257684 + 0.677284 + 0.003844 + 0.200704 + 0.771684 + 0.138384 + 0.000784.

4. Divide the sum obtained in step 3 by the number of data points minus 1.

  Since we have 10 data points, the variance is calculated as:

  Variance = Sum of squared differences / (Number of data points - 1).

5. Calculate the final result.

  Variance = (0.574564 + 0.549364 + 1.016064 + 1.257684 + 0.677284 + 0.003844 + 0.200704 + 0.771684 + 0.138384 + 0.000784) / (10 - 1).

By performing the calculations, the variance of the given data set is approximately 0.446.

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The variance of the data set is approximately 0.3842.

To find the variance of a data set, we need to calculate the squared differences between each data point and the mean, then take the average of these squared differences.

Given the data set: 5.07, 3.57, 5.32, 3.19, 3.49, 4.25, 4.76, 5.19, 3.94, 4.34, with a mean of 4.312.

Step 1: Calculate the squared differences between each data point and the mean:

\((5.07 - 4.312)^2, (3.57 - 4.312)^2, (5.32 - 4.312)^2, (3.19 - 4.312)^2, (3.49 - 4.312)^2, (4.25 - 4.312)^2, (4.76 - 4.312)^2, (5.19 - 4.312)^2, (3.94 - 4.312)^2, (4.34 - 4.312)^2\)

Step 2: Calculate the average of these squared differences:

Variance = (sum of squared differences) / (number of data points - 1)

Performing the calculations, we get:

Variance = 0.3842

Therefore, the variance of the data set is approximately 0.3842.

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Answer:

A.

Step-by-step explanation:

A way to find the equation of the graph is to find the solutions.

On the graph, the solutions are where the function intersects the x-axis. That would be where x = -2, x = 1, and x = 3.

In the equations, you will need to find factors when the x is inputted, the factor equals 0. For example, one of the factors is (x + 2). This is because x + 2 = 0, so x = 0 - 2, so x = -2. So, the three factors are (x + 2), (x - 1), and (x - 3).

The correct equation is A.

Hope this helps!

Answer:

c

Step-by-step explanation: