What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Suppose we have the following information. Note: In 1851 there were 25,466 nurses in Great Britain.
Age range (yr) 20-29 30-39 40-49 50-59 60-69 70-79 80+
Midpoint x 24.5 34.5 44.5 54.5 64.5 74.5 84.5
Percent of nurses 5.8% 9.9% 19.9% 29.5% 25.4% 7.8% 1.7%

The value of x in the inequality is: D. -6 < x < 9

Given the inequality,  −7 < x − 1 < 8, solve for the possible values of x as shown below:

−7 < x − 1

Add 1 to both sides

-7 + 1 < x - 1 + 1

-6 < x

or

x − 1 < 8

Add 1 to both sides

x - 1 + 1 < 8 + 1

x < 9

Combining both inequalities together, the value of x is: D. -6 < x < 9

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Answer:

98 Glass pitchers.

Step-by-step explanation:

You can determine this is the answer due to multiplying the sum and the product together, making the final answer 98 Glass pitchers. Hope this helped! :D

The linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4

The equation of a line in slope intercept form is expressed y = mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points (0, -4) and (-5, 0), the slope is calculated as:

Slope = y₂-y₁/x₂-x₁

Slope = 4/-5

Slope = -4/5

Determine the equation

y = -4/5x + (-4)

y = -4/5x - 4

Hence the linear equation that has a y-intercept of -4 and a x-intercept of -5 s y = -4/5x - 4

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Answer:

Depending on where the 5) is supposed to be, if it is multiplying the 9 x 1000, then total answer is 45280. If however the equation is 80 + 200 + 45000 then multiply by 5 it is 46400

Answer:

-19/2

Step-by-step explanation:

If you want the reciprocal you need to change the sign to the opposite and flip the numbers.

The three equivalent ratios to 4/14 are:

Equivalent ratios are ratios having the same proportion to each other when they are put in their simplest forms.

Ratios are how much a variable is in relation to the whole.  Ratios are the same as proportions or portions of the whole variable

Ratios can be shown as decimals, fractions, percentages, or with the ratio sign (:).

For instance, 2/5 = 0.4 or 40%

2/7 = 4/14 (2 x 2/7) or 0.2857

8/28 = 4/14 (4/14 x 2) or 0.2857

6/21 = 4/14 (4/14 ÷ 2 x 3) or 0.2857

3/4 = 0.75

Thus, the three equivalent ratios to 4/14 are b) 2/7, c) 8/28, and d) 6/21.

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a) 2/5

b) 2/7

c) 8/28

d) 6/21

e) 3/4

Answer:

7(n + 4) or 7×(n + 4)

Step by step explanation:

Hey there!

|6w - 18| = 12

You can say:

|6w - 18| = 12

6w - 18 = 12 or 6w - 18 = -12

First let’s solve for: 6w - 18 = 12

6w - 18 = 12

ADD 18 to BOTH SIDES

6w - 18 + 18 = 12 + 18

SIMPLIFY IT!
6w = 12 + 18

6w = 30

DIVIDE 6 to BOTH SIDES

6w/6 = 30/6

SIMPLIFY IT!

w = 30/6

w = 5

Second let’s solve for: 6w - 18 = -12

6w - 18 = -12

ADD 18 to BOTH SIDES

6w - 18 + 18 = -12 + 18

SIMPLIFY IT!

6w = -12 + 18

6w = 6

DIVIDE 6 to BOTH SIDES

6w/6 = 6/6

SIMPLIFY IT!
w = 6/6

w = 1

Therefore, your answer should be:

w = 5 or w = 1

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Answer:

13 and 39

Step-by-step explanation:

let the smaller number be n then the larger number is 2n + 13 , so

n + 2n + 13 = 52

3n + 13 = 52 ( subtract 13 from both sides )

3n = 39 ( divide both sides by 3 )

n = 13

2n + 13 = 2(13) + 13 = 26 + 13 = 39

then smaller number is 13 and larger number is 39

Step-by-step explanation:

Answer:

The final temperature is 10.1 degrees Fahrenheit

The amount of times that the the bacterial cell is smaller than the amoeba cell is; 150 times

Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base.

We are given;

Length of a bacterial cell = 3 * 10⁻⁶ m

Length of an amoeba cell = 4.5 * 10⁻⁴ m

Thus, to get the amount of times that the bacterial cell is smaller than the amoeba cell, we need to convert the Length of a bacterial cell to have same exponent as that of the Length of an amoeba cell before dividing.

Thus;

Length of a bacterial cell = 3 * 10⁻⁶ m

Length of an amoeba cell = 450 * 10⁻⁶ m

Thus, the amount of times that the the bacterial cell is smaller than the amoeba cell is;

(450 * 10⁻⁶)/(3 * 10⁻⁶) = 150 times

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Answer:

77

Step-by-step explanation:

2(4)^2+9(5)

2(16)+45

32+45

=77

Answer:

109

Step-by-step explanation:

First, you substitute x with 4 and y with 5

so your equation should be 2(4)squared +9(5)

PEMDAS

Parrentisies first so 2x4=8 and 9x5=45

then exponents so 8squared = 64

Addition next so 64 + 45 =?

? = 109

The median is 16.

A stem-and-leaf plot is a table that is similar to a histogram. A stem-and-leaf plot divides a number into a stem and a leaf. The stem is the first number in the digit while the leaf is the last number. For example in the number 21, 2 would be the stem and 1 would be the leaf.

Median can be described as the number that occurs in the middle of a data set that is arranged either in ascending or descending order.

The median of 21 numbers would be the 11th number. The 11th number is 16.

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Answer: f(3)=143

Step-by-step explanation:

f(x)=12(4)x−1

f(x)=48x−1

f(3)=48(3)−1

f(3)=144−1

f(3)=143

Answer:

19 + 0.06

taking out the whole number leaves you with 0.06

or you could do 10 + 9 +0.06

if you want to split it up more

The expanded form of the number 19.06 is 1×10 + 9×1 + 0/10 + 6/100.

Numerology can be expressed in a variety of ways. Word form is a means of expressing numbers verbally. Numbers can be written in expanded form by indicating the value of each digit. The digits 0 through 9 are used to write numerals in standard form, and each digit has a place value.

Given, A number in a decimal form which is 19.06.

This can be written as,

1×10¹ + 9×10⁰ + 0/10¹ + 6/10².

1×10 + 9×1 + 0/10 + 6/100.

Each digit has a face value and a place value.

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The answers are:

a) The domain is the set of all real numbers.

b) The range is R:  (-∞, -2]

c) there are not any x-intercept.

d) The y-intercept is y = -5

e) f(0) = -5

   f(4) = -4

For a function f(x) =y, we define the domain as the set of the inputs and the range as the set of the outputs.

To identify the domain we need to look at the horizontal axis, and there we can see that the function covers it completely, then the domain is the set of all real numbers.

For the range, we look at the vertical axis. Here we can see that the function has a maximum at y = -2 and then goes down, then the range is:

R: (-∞, -2]

c) Now we want to get the xintercepts. As you can see in the graph, it never intercepts the x-axis (the horizontal one). Thus, there are not any x-intercept.

d) The y-intercept is when the graph intercepts the vertical axis, in this case the y-intercept is at y = -5

e) f(0) is the value of the y-intercept, which we already know is y = -5

for f(4) we need to find x = 4 in the horizontal axis and then find the correspondent value of the graph.

We can see that f(4) = -4.

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Answer:3

Step-by-step explanation:

3m+5=14

     -5

3m=9

m=3

Answer:

  C = 16

Step-by-step explanation:

Given point M=2 and J=18 on a number line, you want the coordinate of point C that is 7/8 of the distance from M to J.

The distance from M to J is the difference of their coordinates:

  J -M = 18 -2 = 16

7/8 of that distance is ...

  (7/8)(16) = 7(16/8) = 7(2) = 14

You are being asked for the coordinate of the point that is 14 units from M in the direction of J.

To find the coordinate of C, we add the desired distance to the coordinate of M:

  C = M +14

  C = 2 +14 = 16

The coordinate of point C is 16.

Answer:

Length = 12cm

Width = 8cm

Step-by-step explanation:

Let the length be x

Let the width be 2/3x

Perimeter = 2 (l+b)

Length = 2 (x+2/3x) = 40

= x + 2/3x = 40/2

= x + 2/3x = 20

= x/1 + 2/3x = 20

LCM = 3

= 3x + 2x = 20

______

3

= 3x + 2x = 20 x 3

= 5x = 60

= x = 60/5

= x = 12

Width = 2/3 of 12

= 2/3 × 12

= 8

The worth of the investment is $1.51 * 10^39

The given parameters are

Principal, P = $500

Rate, r - 4%

Time, t = 7 years

Number of times, n = 12

So, we have:

A(t)=P*e^nt

This gives

A(12) =  500 *e^(12 * 7)

Evaluate

A(12) = 1.51 * 10^39

Hence, the worth of the investment is $1.51 * 10^39

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It will cost $350.00 to buy enough carpet for the living room.

Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of the three-dimensional object.

Now it is given that,

Length of room,l =

Width of room, w =

So, area of the room =  l*w = 7*5

⇒ area of the room = 35 square meter

Since, indigo carpet costs $10.00 per square meter

Thus, total cost to install the carpet =  area of the room*carpet costs

⇒ total cost to install the carpet = 35*10

⇒ total cost to install the carpet = $350

Thus, It will cost $350.00 to buy enough carpet for the living room.

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the value of the function is zero, then the correct option is the first one.

g(x)=0

We know that the given function:

g(x) = -3*(x - 3)^2 + 4

Crosses the x-axis at x = 1.845

Now, remember that the x-axis is located at y = 0, to for the function:

y = g(x)

We should have that g(1.845) = 0

Then what we can conclude about the value of g(x) at x = 1.845 is that the value of the function is zero, then the correct option is the first one.

g(x)=0

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The cost of the baker's shelf is $1,448.94

The length of the bakery is 12 meters

The width of the bakery is 19 meters

The wooden shelf costs £23.37 per meter

The cost can be calculated as follows

2(12+19) × 23.37

= 2(31) × 23.37

= 62 × 23.37

= 1,448.94

Hence the cost of the baker's shelf is $1,448.94

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Using the z-distribution, it is found that a sample size of 97 is required.

The confidence interval is as follows:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

The margin of error is given by the following rule:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

For this problem, considering a margin of error of 10, the parameters are given by:

[tex]M = 10, \sigma = 50[/tex]

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

Then we take the margin of error equation and solve for n as follows:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]10 = 1.96\frac{50}{\sqrt{n}}[/tex]

[tex]10\sqrt{n} = 50 \times 1.96[/tex]

[tex]\sqrt{n} = 5 \times 1.96[/tex]

[tex](\sqrt{n})^2 = (5 \times 1.96)^2[/tex]

n = 96.04

Rounding up, as a sample size of 96 results in M > 10, we have that:

A sample size of 97 is required.

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Answer:

27

Step-by-step explanation:

=4(3)^2-3(3)

=4(9)-9

=3(9)

=27

Using the t-distribution, the limits of the 95% confidence interval are given as follows:

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 16 - 1 = 15 df, is t = 2.1315.

The other parameters are given as follows:

[tex]\overline{x} = 33, s = 4, n = 16[/tex]

Hence the bounds of the interval are given as follos:

Which are the lower and the upper bound, respectively.

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