a computer company hired interns from a group of 234 applicants. the table shows the numbers of applicants who were or were not computer science majors, and the numbers of applicants who were or were not hired. match the probabilites with the description. column a 1. what is the probability that the intern had a computer science major and did not get hired.: what is the probability that the intern had a computer science major and did not get hired. 2. what is the probability that the intern had a major other than computer science?: what is the probability that the intern had a major other than computer science? 3. what is the probability that a computer science major was hired?: what is the probability that a computer science major was hired? 4. what is the probability that an intern with a major other than computer science was not hired?: what is the probability that an intern with a major other than computer science was not hired? column b a.conditional - 36.2% b.conditional - 48.6% c.joint - 43.6% d.joint - 51.2% e.marginal - 68.3% f.marginal - 31.6%

To determine the probability that it will not rain for the next two weeks, we can use the provided probability model. The probability that it will not rain for the next two weeks is 0.68 or 68%, expressed as a decimal precise to two decimal places.

First, let's break down the probabilities given:
Step:1. Probability of rain this week: 0.20
Step:2. Probability of no rain this week: 1 - 0.20 = 0.80
Step:3. Probability of rain next week if it rains this week: 0.31
Step:4. Probability of no rain next week if it rains this week: 1 - 0.31 = 0.69
Step:5. Probability of rain next week if it doesn't rain this week: 0.15
Step:6. Probability of no rain next week if it doesn't rain this week: 1 - 0.15 = 0.85
Now, we want to find the probability that it will not rain for the next two weeks. To do this, we will multiply the probability of no rain this week (0.80) by the probability of no rain next week if it doesn't rain this week (0.85).
Probability (No rain for the next two weeks) = 0.80 * 0.85 = 0.68
So, the probability that it will not rain for the next two weeks is 0.68 or 68%, expressed as a decimal precise to two decimal places.

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Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

The area and the circumference of a circle with radius 4m is 50.24 m² and 25.12 m. respectively.

The circumference is also known as the perimeter of the circle. On the other hand, the space occupied within the boundary/circumference of a circle is called the area of the circle. To find the area and circumference of a circle with radius 4m, you can use the following formulas:

Area (A) = π * r²
Circumference (C) = 2 * π * r

Using the value 3.14 for π and a radius (r) of 4m:

Area (A) = 3.14 * (4²) = 3.14 * 16 = 50.24 square meters (m²)
Circumference (C) = 2 * 3.14 * 4 = 6.28 * 4 = 25.12 meters (m)

So, the area of the circle is 50.24 m², and the circumference is 25.12 m.

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The value of x is 26.5, found using the property of intersecting chords in a circle and the Pythagorean theorem.

To find the value of x, we can use the property that states that if two chords intersect in a circle, the product of the segments of one chord is equal to the product of the segments of the other chord.

In this case, we can draw radii from O to points P and S, and label their lengths as 19. Then, we can label the segments of chords FG and RS as follows:

                     Let a = FG and b = GP

                      Let c = RS and d = SP

Since OP is a radius of the circle, we know that a + b = 19. Similarly, since OS is a radius of the circle, we know that c + d = 19.

Using the property mentioned above, we can write:

                      a * b = c * d

Substituting the given values, we get:

                   25 * (19 - b) = 28 * (19 - d)

Expanding and simplifying, we get:

                      475 - 25b = 532 - 28d

Substituting a + b = 19 and c + d = 19, we get:

                 b = 19 - a and d = 19 - c

Substituting these values, we get:

                 25a - 25(19 - a) = 28c - 28(19 - c)

Simplifying, we get:

                    53a - 475 = 28c - 532

Rearranging, we get:

                       53a - 28c = -57

We also know that a + c = 25 + 28 = 53.

We can solve these two equations simultaneously to find the values of a and c:

                        a = 13.8

                        c = 39.2

Therefore, the length of the segment RS is 39.2, and the length of the segment RP19S is 58.2.

Using the Pythagorean theorem, we can find the length of the segment OP:

                  (OP)²= (RP19S)² - (19)²

                  (OP)² = (58.2)² - (19)²

                  (OP)² = 3136.24

                        OP = 56

Finally, we can find x using the fact that the chords FG and RS are parallel:

                           x = (1/2) * (FG + RS)

                           x = (1/2) * (25 + 28)

                           x = 26.5 (rounded to the nearest tenth)

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Answer:

So the answer would be 21 because the side is longer than 12 but not longer than 21

Answer:

44

Step-by-step explanation:

33:11 = 132:44

a) 32nd unit will take approximately 20.4 hours to produce b) T2 = 59.4 and graph of curve can be plotted similarly for T4, T8, T16

a) Using the learning curve formula, we can estimate how long it will take to make the 32nd unit:

\(Tn = T1 * n^k\)

where n: total number of units created, Tn: time it takes to produce the nth unit, T1 is the time it takes to make the first unit, and k is the rate of learning.

T1 is assumed to be 72 hours, and k is specified to be \(log(0.85)/log(2)-0.278\).

With the use of these numbers, we may determine T32 as follows:

\(T32 = T1 * 32^k \sT32 = 72 * 32^(-0.278) (-0.278)\)

20.4 hours in T32

Hence, it will take about 20.4 hours to generate the 32nd unit.

b) The time it takes to create each unit for a variety of values of n can be determined using the same technique as previously in order to illustrate the learning curve. Therefore, using n as the x-axis and Tn as the y-axis, we may plot these numbers on a graph.

As an illustration, we can compute T2 as follows:

\(T2 = T1 * 2^k \sT2 = 72 * 2^(-0.278) (-0.278)\)

59.4 hours in T2.

Similar calculations can be made for T4, T8, T16, and so forth. Then, we may graph these numbers to get a learning curve.

The resulting learning curve will demonstrate how, as production volume grows, each unit's production time gets smaller until it approaches an asymptote. The learning rate will determine how steep the curve is. A steeper curve indicates a faster rate of improvement, and a higher learning rate will produce it. In contrast, a flatter curve indicates a slower rate of improvement than a higher learning rate.

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The mean of this sample of car prices can be calculated by adding all the prices and dividing by the total number of dealers:

($35,700 x 2) + ($35,900 x 1) + ($36,200 x 3) + ($37,400 x 2) + ($37,900 x 2) = $326,500

$326,500 / 10 dealers = $32,650 (mean price)

To calculate the standard deviation, we first need to find the variance:

1. Subtract the mean from each individual price:

($35,700 - $32,650) = $3,050
($35,700 - $32,650) = $3,050
($35,900 - $32,650) = $3,250
($36,200 - $32,650) = $3,550
($36,200 - $32,650) = $3,550
($36,200 - $32,650) = $3,550
($37,400 - $32,650) = $4,750
($37,400 - $32,650) = $4,750
($37,900 - $32,650) = $5,250
($37,900 - $32,650) = $5,250

2. Square each of these differences:

$3,050^2 = $9,302,500
$3,050^2 = $9,302,500
$3,250^2 = $10,562,500
$3,550^2 = $12,602,500
$3,550^2 = $12,602,500
$3,550^2 = $12,602,500
$4,750^2 = $22,562,500
$4,750^2 = $22,562,500
$5,250^2 = $27,562,500
$5,250^2 = $27,562,500

3. Add up all of these squared differences:

$9,302,500 + $9,302,500 + $10,562,500 + $12,602,500 + $12,602,500 + $12,602,500 + $22,562,500 + $22,562,500 + $27,562,500 + $27,562,500 = $167,052,500

4. Divide the total by the number of dealers minus 1 (this is called the sample variance):

$167,052,500 / 9 = $18,561,388.89

5. Take the square root of the sample variance to get the standard deviation:

√$18,561,388.89 = $4,307.17 (standard deviation)

So the mean price of this sample of car prices is $32,650 and the standard deviation is $4,307.17.

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The functions and their transformations are

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

f(x) = 2(x + 1)² - 3

A translation down by 5 units is represented as

f(x) - 5

So, we have

f(x) - 5 = 2(x + 1)² - 3 - 5

f(x) - 5 = 2(x + 1)² - 8

Rewrite as

h(x) = 2(x + 1)² - 8

A translation left by 5 units is represented as

f(x + 5)

So, we have

f(x + 5) = 2(x + 1 + 5)² - 3

f(x + 5) = 2(x + 6)² - 3

Rewrite as

k(x) = 2(x + 6)² - 3

A translation right by 5 units is represented as

f(x - 5)

So, we have

f(x - 5) = 2(x + 1 - 5)² - 3

f(x - 5) = 2(x - 4)² - 3

Rewrite as

g(x) = 2(x - 4)² - 3

A translation up by 5 units is represented as

f(x) + 5

So, we have

f(x) + 5 = 2(x + 1)² - 3 + 5

f(x) + 5 = 2(x + 1)² + 2

Rewrite as

j(x) = 2(x + 1)² + 2

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Answer:

we are not in school

Step-by-step explanation:

Conditional: If it is a Thanksgiving, then we are not in school.

Hypothesis: If it is a Thanksgiving, then we are not in school.

Conclusion: If it is a Thanksgiving, then we are not in school.

Answer: we are not in school

Answer:

41.61

Step-by-step explanation:

Just divide.

\(\begin{matrix}4\overline{|\smallspace166.44}\:\:\:\:\:\:\:\end{matrix}\)

Answer: We have the equation:

166.44 ÷ 4 = 41.610

Calculated to 3 decimal places.

 0 4 1. 6 1 0

4 1 6 6. 4 4 0

− 0          

 1 6        

− 1 6        

   0 6      

 −   4      

     2 4    

   − 2 4    

       0 4  

     −   4  

         0 0

       −   0

           0

Step-by-step explanation: hope this helps

To the nearest yard, it is 18 yards farther for Tom to walk down Main Street and turn on Oak Street to get to Jeff's house than if he travels the shortest distance between the houses through an empty field.

To solve this problem, we need to find the distance Tom would have to walk to get from his house on Main Street to Jeff's house on Oak Street using two different routes: the first route being the shortest distance through an empty field, and the second route being the distance Tom would have to walk down Main Street and then turn onto Oak Street.

Let's assume that the distance between Jeff's house and Tom's house through the empty field is x yards. To find x, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, we can consider the distance between Jeff's and Tom's houses through the empty field as the hypotenuse of a right triangle, with the distance along Oak Street as one side and the distance along Main Street as the other side. Let's call the distance along Oak Street y and the distance along Main Street z. Then, we have:

\(x^2 = y^2 + z^2\)

To find y, we need to know the distance between the two streets where they intersect. Let's call this distance w. Then, we can see that:

y = w

To find z, we need to know the distance between Tom's house on Main Street and the point where the two streets intersect. Let's call this distance u. Then, we can see that:

z = u + w

Now, we can substitute y and z into the Pythagorean theorem equation to get:

\(x^2 = w^2 + (u + w)^2\)

Simplifying this equation, we get:

\(x^2 = 2w^2 + 2uw + u^2\)

To find the distance Tom would have to walk down Main Street and then turn onto Oak Street, we can simply add u and w together:

u + w = distance along Main Street + distance along Oak Street where they intersect

Let's assume that the distance along Main Street is a and the distance along Oak Street is b. Then, we have:

u + w = a + b

Now, we can calculate the difference between the distance Tom would have to walk using the two different routes:

(a + b) - x

Let's assume that the distance along Main Street from Tom's house to the intersection with Oak Street is 100 yards, and the distance along Oak Street from the intersection to Jeff's house is 80 yards. Using the Pythagorean theorem, we can calculate the distance x through the empty field as follows:

\(x^2 = 80^2 + 100^2\) = 16,000 + 10,000 = 26,000

x ≈ 161.55 yards

To find the distance Tom would have to walk along Main Street and then turn onto Oak Street, we add the distance along Main Street and Oak Street:

a + b = 100 + 80 = 180 yards

The difference in distance between the two routes is then:

180 - 161.55 ≈ 18.45 yards

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Complete question:

Jeff lives on Oak Street, and Tom lives on Main Street. How much farther, to the nearest yard, is it for Tom to walk down Main Street and turn on Oak Street to get to Jeff's house than if he travels the shortest distance between the houses through an empty field? A. 46 yds B. 48 yds C. 126 yds D. 172 yds

The percentage of ball that hit into the outfield would be represented by the equation = 15/8 = X/100. That is A.

The total number of balls that that where present at the battling practice by Alexis = 15.

The number of balls that hit into the outfield = 8

The number of balls that hit outside the outfield = 15-8= 7

The percentage (x) of the balls that are outside the outfield;

X = 8/15 × 100/1

x ×15 = 8 × 100

15/8 = X/100.

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Answer:

4−2x<−3

Step-by-step explanation:

check:

now --- 4°

after 1 hr --- 2°

after 2 hrs--- 0°

after 3 hrs--- -2°

after 4 hrs--- -4°

so between 3 and 4 hrs it will reach -3°

4-2x < -3

-2x < -7

x > 3 1/2

Answer:

t=2/f-5

Step-by-step explanation:

2/t=f-5

or,2=(f-5)/t

t=2/(f-5)

the probability is 0.00539 for the household whose income is excess of $50000.

the ratio of favorable outcome to total possible outcome.

the ratio of the size of random sample to the actual size.

Given, sample proportion p∧ ≥0.22

size of random sample, p= 750

now, size of household, n = p/p∧ =750/0.22= 3409

number of households shown in census= 18.4%

now the probability = number of favorable outcome/ total possible outcome.

probability of gaining income excess of $50000 is 18.4/3409 = 0.00539

hence, 0.00539 is the proportion whose income is excess .

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Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

Answer:

Associative Property of Addition

Step-by-step explanation:

The associative property of addition states that if all the operations are addition, then one can group and add them in whatever order they prefer.

Hope this helps!  Tell me if I'm wrong!

Answer:

$61.80

Step-by-step explanation:

you first want to find out how much one pint costs so you do 8.24/4 which is 2.06 then you multiply it by 30 to get 61.80

Answer: I believe it would cost $61.8

Step-by-step explanation:

\(\frac{4}{8.24} x \frac{30}{x}\)

8. 24 x 30 = 247.2

247.2 / 4 = 61.8

The ratio of unshaded squares to shaded squares is 15:10. This means that for every 15 unshaded squares, there are 10 shaded squares. This can also be simplified to 3:2, which means that for every 3 unshaded squares, there are 2 shaded squares.

It is important to keep in mind that the ratio is not equal to the fraction, it's just a way to express the relationship between the two.

Answer:

15:10

Step-by-step explanation:

15:10 which means that for every 15 unshaded squares there are 10 shaded squares which can also be simplified to 3:2 which means pretty much the same thing, for every 3 unshaded squares there will be 2 shaded ones. A ratio is not a fraction, so i advise not treating it like one.

The optimal decision for the median selection problem (1, 3, 3) is that the median value can be either 1 or 3.

To construct an optimal decision tree for the median selection problem with the values (1, 3, 3), we need to determine the median value using a binary comparison approach. Here's the decision tree:

(a) Compare the first two values, 1 and 3:

If 1 is less than 3, move to Step 2.

If 1 is greater than 3, swap the positions of 1 and 3 and move to Step 2.

(b) Compare the second value, which is now 1, with the third value, which is 3:

If 1 is less than 3, the median is 3.

If 1 is greater than 3, the median is 1.

If 1 is equal to 3, the median is 1 or 3 (since they are equal in this case).

Based on this decision tree, the optimal decision for the median selection problem (1, 3, 3) is that the median value can be either 1 or 3.

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Their young daughter was starting to feel threatened by her father's actions. Despite Sara's pleadings for him to show her compassion, he maintained that he had the right to act however he pleased because he was her father.

Sara's husband harassed the couple through texts, calls, and threats to take their kid away while Sara and her husband were away from the house. Once, when he visited the house, he acted in such a menacing and violent way that Sara was worried and called the police. Despite being jailed, her spouse was not charged. He asserted that she had called the police to support her case against him. Red may be blood or even the result of a clean cut. Because individuals are hurt and bleed when they do, I believe blood would be the best. According to Johari Window, Sara is a Hidden Area or Hidden Self form of self. We refer to the information you withhold from others as a secret area.

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Answer: 8.94

Step-by-step explanation:

each side is the \(\sqrt{20}\) so multiply that by 2 and you will have 8.94

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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Correlation does not necessarily imply causation. Evaluating the strength of the relationship between two variables requires examining the correlation coefficient, which ranges from -1 to 1.

Correlation is a statistical measure that indicates the degree to which two variables are related. However, it does not necessarily imply causation, as there may be other factors that are responsible for the observed correlation. For example, the correlation between ice cream sales and crime rates does not mean that ice cream causes crime. Instead, both variables may be influenced by a third variable, such as temperature. Therefore, it is important to exercise caution when interpreting correlations.

To evaluate the strength of the relationship between two variables, it is necessary to examine the correlation coefficient. The correlation coefficient is a statistical measure that ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. A correlation coefficient of 0.8 or higher is generally considered a strong correlation, while a coefficient between 0.5 and 0.8 is considered moderate, and a coefficient below 0.5 is considered weak. However, it is important to note that the strength of the relationship between two variables also depends on the context and the specific research question being investigated.

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