The nursing department of a college surveyed two hundred graduates from their programs about their current
work. The college has different levels of degrees in nursing available. The department found the following
probabilities:
P(bachelor's degree) = 0.45
P(working in nursing) = 0.85
P(in nursing and bachelor's) = 0.4
Find the probability that a graduate is currently working in nursing, given that they earned a bachelor's degree.
P (in nursing bachelor's) =

Answer:

f(a + 1) = (a + 1)² + 1 = a² + 2a + 2

Answer: r43

Step-by-step explanation:

When the unit of capacity of 2 qt 1 cup is converted to fl oz is 72.

In order to convert 2 qt 1 cup to fl oz, the following steps should be taken:

First convert quart to ounce

1 quart = 32 ounce

32 x 2 = 64 ounce

Now, convert cup to ounce

1 cup = 8 ounce

Now add 64 to 8

64 + 8 = 72

Answer:

1. fraction is 5/8 which is closest to 1/2

2. fraction is 9/10 which is closest to 1

The final image is:

[tex]\boxed{W''(3,8)}[/tex]

Here we have two rules. The first one is a reflection across the y-axis and the second one is a translation. Let's apply these rules in two steps:

First rule:

Reflection across the y-axis:

[tex](x,y)\rightarrow (-x,y)[/tex]

By following this rule, you must multiply the x-coordinate of the point by -1. So here we reflect point W. Then:

[tex]W'(-1,6)[/tex]

Second rule:

[tex]T(x+4,y+2)[/tex]

This transformation shift each point 4 units to the right and 2 units up. Here we shift point W' that was previously transformed. Then:

[tex]W''(x,y)=W''(-1+4,6+2) \\ \\ \boxed{W''(x,y)=W''(3,8)}[/tex]

Applying the transformations, it is found that the coordinates of point W'' on the final image are (3, 8).

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Answer:

Nonlinear Equation

Step-by-step explanation:

Answer:75

Step-by-step explanation:

The number of boys in the choir can be calculated by setting up a proportion based on the given ratio of 5 girls to 4 boys. With 60 girls in the choir, solving the proportion indicates that there are 48 boys in the choir.

This question deals with the concept of ratios. In this context, the ratio of girls to boys in choir is given as 5 to 4, which means for every 5 girls, there are 4 boys. As there are 60 girls in the choir, we can determine the number of boys by setting up a proportion.

First, let’s set our ratio to match the girl to boy ratio from our question, which is 5 to 4 or 5/4. Then we set that equal to a ratio of the number of girls to x (the variable we're using to figure out the number of boys), which will be 60 to x, or 60/x.‌

So, 5/4 = 60/x. Then, we cross-multiply to solve for x, which results in 5x = 240. We then solve for x by dividing each side by 5. So, x = 240 ÷ 5 = 48. This means there are 48 boys in the choir.

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Answer: 3/12 miles

Step-by-step explanation: 1/6 is the same as 2/12 since you multiply by 2/2 to convert it. You need to get it so the denominators are the same number. The adding 1+3 in the numerator gets you 3/12

Answer: 1/12 is the next measurement

Step-by-step explanation: im not sure if its write i just want brainlest

Answer:

4 ft cubed.

Step-by-step explanation:

Hope this helps!

volume of a pyramid is 1/3 times b (area of your base) times the height of your prism. 4 times 3 is 12 times 1/3 is 4.

Answer:

Let g = length of green ribbon.

So 1.5g + 6.5 = length of blue ribbon.

g + 1.5g + 6.5 = 50.25

2.5g = 43.75

g = 17.5 meters of green ribbon

1.5(17.5) + 6.5 = 32.25 meters of blue ribbon

Answer: Top row: -8. 2nd row: 1, -9. 3rd row: -5, 6, -15. 4th row: 3,-8, 14, -29.

Step-by-step explanation: Work from the bottom up.

The numbers that add up to -15 (to the left of -29) can be found by subtracting 15 from 29. 29-15=14. -29+14=-15.

The numbers that add up to -5 (to the left of -8) can be found by subtracting 5 from 8. 8-5=3. -8+3=-5.

The numbers that add up to 1 (next to -5) can be found by adding 1 and 5. 1+5=6. -5+6=1.

To find the number next to 1, add -15 and the number we just found between -5 and -15 (6). -15+6=-9.

To find the top number, add -9 and 1. -9+1=-8.

This explanation doesn't make the most sense, but it's how I found them.

Answer:

$210

Step-by-step explanation:

(Note: there is no mention of the teachers buying origami kits so I will assume it's irrelevant)

We have 10 origami books, each of which is $24, so the total cost of the books is 10 * 24 = $240. We have 100 packs of origami paper, each of which is $6, so the total cost of the paper is 100 * 6 = $600.

Add these together: 240 + 600 = $840.

There are 4 teachers and each one will pay the same amount, so divide 840 by 4:

840 ÷ 4 = $210

The answer is $210.

Answer:

$210 each

Step-by-step explanation:

Total cost:

10×24 + 100×6

240 + 600

840

Cost to be divided into 4

840/4

210

Answer:

A) 22.5

Step-by-step explanation:

The product of the length of one secant segment and its external part is equal to the product of the length of the other secant segment and its external part.

(5+13)*5 = x*4

18*5 = 4x

90 = 4x

Divide each side by 4

90/4 =4x/4

22.5 =x

Answer:

The mean may not be a fair representation of the date

Step-by-step explanation:

because the average is easily influenced by outliers (very small or large values in the data set that are not typical). The median is another way to measure the center of a numerical data set. ... Thus, the median is truly the middle of the data set.

Answer:

the base is 15cm

Step-by-step explanation:

Check out the photo and ask me if you need further explanation.

The base of the isosceles triangle is 15 cm, obtained by setting up the equation based on the given perimeter and the relationship between the base and the equal sides.

Length of the Base of an Isosceles Triangle

Let's denote the base of the isosceles triangle as b, and each of the two equal sides as s. According to the problem, s is twice as long as b; hence, we can write s = 2b. Given the perimeter of the triangle is 75 cm, we can set up the equation 2s + b = 75, which simplifies to 2(2b) + b = 75, and further simplifies to 5b = 75. Solving for b, we get b = 75 / 5, which gives us b = 15 cm.

Therefore, the length of the base of the isosceles triangle is 15 cm.

Answer:

Step-by-step explanation:

The wind speed can be found using the Law of Cosines. It will be the unknown side of a triangle with sides 6 and 5 and included angle 30°.

  s^2 = 6^2 +5^2 -2·6·5·cos(30°) ≈ 9.038476

  s ≈ √9.038476 ≈ 3.0064 . . . . m/s

The direction of the wind can be found from the Law of Sines, which tells us the relationship of the internal angle A to velocity vector a is ...

  sin(A)/a = sin(30°)/3.0064

  A = arcsin(5/3.0064·sin(30°) ≈ 56.26°

To find the desired angle, we must add 180° to this value.

The wind is blowing 3.0 m/s in direction 236.3°.

Answer:

0.0326

Step-by-step explanation:

0.032 56 3

In 3 sf, would be

0.0326

Answer:

3x-21

Step-by-step explanation:

3*x+3*(-7)=3x-21

Answer:

there is no answer for that

Step-by-step explanation:

Answer:

Divide both sides by "R".

V = IR

V/R = I

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

x+5 = -3x+25

Add 3x to each side

x+3x+5 = -3x+3x+25

4x +5 = 25

Subtract 5 from each side

4x+5-5 = 25-5

4x = 20

Divide each side by 4

4x/4 = 20/4

x =5

Answer: x=5

Step-by-step explanation:

x+5= 3x+25

collect like terms

subtract

4x=20

divide both sides by four

x=5  

Answer: 7/3

Step-by-step explanation:

2 1/3 is in simplest form and is a mixed number. We can make this an improper fraction.

2 * 3 + 1 = 7

7/3

Answer:

7/3

Step-by-step explanation:

first you multiply the denominator by the whole number(2)

2x3=6

Then you add 1

2+1=7

Finally 7 goes up to the numerator and the denominator does not change so it stays 3

Answer:

$625

Explanation:

The tenth place is 5.

when you round, less than five and the number stays the same, five or more and it raises one

Answer:

  A) decreasing. Salt concentration is being reduced.

  B) 5%. The more 5% solution that is added, the closer the mixture becomes to 5%.

Step-by-step explanation:

A) Increasing values of x result in decreasing values of C(x), so the function is decreasing.

This means that when a lower concentration of salt solution is added to one of higher concentration, the result is a decrease in the concentration of salt in the mixture.

__

B) As x gets very large, C(x) approaches 5. The horizontal asymptote is C=5.

In the context of the problem, it means that as the solution contains more and more 5% brine, the concentration of salt in the mix approaches 5%.

Answer:

The correct answer is C.) 93° and 55°.

Step-by-step explanation:

The sum of the three angles of any triangle always equate to 180°. If triangle M has similar angles when compared to triangle N, all we have to do is add the angles up and subtract their sum from 180.

180° - (32° + 93°) = ?

180° - 125° = 55°

Hope this helps,

❤Nicki❤

Answer:

1/4, -1/8, and 1/16

Step-by-step explanation:

Geometric sequence:   -2, 1, -1/2, ....

Geometric sequence means there is a common ratio.

so from -2 , the next term is  -2*r , and the next term is -2*r*r

-2r = 1, means  r = -1/2

then next after -1/2,  is  1/4,

and then...   -1/8, and then  1/16

In a geometric sequence, each term is found by multiplying the previous term by a constant ratio. The next three terms in the sequence are 1/4, -1/8, and 1/16.

In a geometric sequence, each term is found by multiplying the previous term by a constant ratio. In this sequence, the common ratio can be found by dividing each term by its previous term.

-2 ÷ 1 = -2

1 ÷ -2 = -1/2

The next three terms in the sequence can then be found by multiplying each term by the common ratio.

-1/2 × (-1/2) = 1/4

1/4 × (-1/2) = -1/8

-1/8 × (-1/2) = 1/16

Therefore, the next three terms in the geometric sequence are 1/4, -1/8, and 1/16.

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Answer:

No

Step-by-step explanation:

The rate per second for copies will be as follows

First machine

Since it takes 8 seconds to make 5 copies hence rate per second is equivalent to 5/8 copies per second

Second machine

First, convert its time into seconds. Given that 1 min has 60 seconds then 24 mins will have 24*60=1440 seconds

During this time, the machine makes 16 copies. Therefore, the rate per second is 16/1440 which when simplified is 1/90 copies per second.

Clearly, these two rates are different.

Answer:

No, if you add the parentheses things can change.

Step-by-step explanation:

4 times (3+18) divided by 6 is 14.

You have to divide first then multiply.

4 times 3+18 divided by 6 without the parentheses is 15.

Hope this helps!

Both types of quadrilaterals do exist, so neither of them is correct.

Well, actually neither of the two kids is correct.

There are quadrilaterals that have internal right angles, such as the square or the rectangle, but there are also quadrilaterals whose internal angles do not measure 90°, like the case of the rhombus.

Then there are quadrilaterals with right angles and quadrilaterals without right angles, then neither Kathleen nor Gray are correct, because both types of quadrilaterals do exist.

If you want to learn more about quadrilaterals.

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Answer:

Neither of them are correct because both do exist but they are not right

Step-by-step explanation:

Answer:

36.5

Step-by-step explanation:

The median is the middle number when all the numbers are put in order from smallest to largest

-41 -32 33 40  43 55

The middle is between the third and fourth number

We add the 3th and 4th number and divide by 2

(33+40)/2 =73/2=36.5