94. Birth Rate of Unmarried Women In the United States, the birth rate B of unmarried women (births per 1000 unmarried women) for women whose age is a is modeled by the function B(a) = -0.33a + 19.17a-213.37. (a) What is the age of unmarried women with the highest birth rate? 29.0 years (b) What is the highest birth rate of unmarried women? (e) Evaluate and interpret B(40).

Answers

Answer 1

Using concepts of quadratic equation, we have that:

a) The age of unmarried women with the highest birth rate 29 years.

b) The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

c) B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

The birth-rate for women of age a is given by:

[tex]B(a) = -0.33a^2 + 19.17a - 213.37[/tex]

Which is a quadratic equation with coefficients [tex]a = -0.33, b = 19.17, c = -213.37[/tex]

Item a:

The age with the highest value is the a-value for the vertex, which is:

[tex]a_V = -\frac{b}{2a} = -\frac{19.17}{2(-0.33)} = 29[/tex]

The age of unmarried women with the highest birth rate 29 years.

Item b:

The rate is B(29), which is:

[tex]B(29) = -0.33(29)^2 + 19.17(29) - 213.37 = 65[/tex]

The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.

Item c:

[tex]B(40) = -0.33(40)^2 + 19.17(40) - 213.37 = 25.43[/tex]

B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.

A similar problem is given at https://brainly.com/question/24626341


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Answer: -50

Step-by-step explanation:

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Answer:

the answer is------------ 1/4.4.4

Mixed numbers 204/5=

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Answer:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 204 by 5 and keep only what is to the left of the decimal point:

204 / 5 = 40.8000 = 40

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

204 - (5 x 40) = 4

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 204/5 as a mixed number is:

40  

   4  

   5  

Improper Fraction To Mixed Number Converter

204/5 as a mixed number is not the only problem we solved. Go here to convert another improper fraction to a mixed number.

What is 204/6 as a Mixed Number?

Here is the next improper fraction on our list that we converted to a mixed number.

Terminology & Explanation

204 above the division line is called the numerator and 5 below the divison line is called the denominator.

We call the line that separates 204 and 5 the division line. It is also known as the fraction bar or vinculum.

204/5 is an improper fraction because the numerator is greater than the denominator.

A mixed number is an integer (whole number) and a proper fraction.

Suppose you deposit $200 in a savings account that earns 4% per year. Find the simple interest earned in 2 years. Then find the total of principal plus interest.

Answers

9514 1404 393

Answer:

interest: $16account total: $216

Step-by-step explanation:

The amount of interest is given by the simple interest formula:

  I = Prt . . . . where P is the amount earning interest, r is the annual rate, t is the number of years

  I = $200·0.04·2 = $16.00

The simple interest earned in 2 years is $16.00.

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The total of principal and interest is found by adding those values:

  $200.00 +16.00 = $216.00

The total amount is $216.00.

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The correct answer is 22/30

-13 + 7 - 11 -4y as a sum

Answers

Answer:

-17-4y

Step-by-step explanation:

You just have to add the numbers:

-13+7-11=-17

=17-4y

The sum of the terms -13 + 7 and  - 11 -4y is -4y - 17.

What is the sum?

A summation, also known as a sum, is the outcome of adding two or more numbers or quantities. There are always an even number of terms in a summation. There could be only two terms, or there could be one hundred, a thousand, or a million.

Given:

-13 + 7 and  - 11 -4y

Calculate the sum of the expression as shown below,

(-13 + 7) + (-11 - 4y)

-13 + 7 - 11 - 4y  [In sum, the sign convention will be (+) + (-) = (-)]

Arrange the term as shown below,

-4y + 7 - 13 - 11

Apply the operation as shown below,

-4y + 7 - 24

-4y - 17

Thus, the sum will be -4y - 17.

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Answer:

8 or [tex]\frac{8}{1}[/tex]

Step-by-step explanation:

[tex]\frac{4}{\frac{1}{2}}[/tex] can also be written as;

4 ÷ 0.5

(0.5 is the 1/2 in decimal form)

4 ÷ 0.5 = 8

A tugboat goes 72 miles upstream in 9 hours. The return trip downstream takes 4 hours. Find the speed of the tugboat without a current and find the speed of the current.

Answers

Step-by-step explanation:

72÷9= 8, so the boat was only doing 8mph going upstream (against the current) the return trip downstream only took 4 hours. 72÷18=4 meaning the boat was traveling at 18mph downstream (no current) there is a 10mph difference between upstream and downstream therefore the current had to be running at 10 mph. so the speed of the tug boat is 8mph without a current and the current is running at 10mph.

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Answers

9514 1404 393

Answer:

  6(b)(b)(2b^2 +3)

Step-by-step explanation:

The greatest common factor is 6b^2. Factored fully, that is 6·b·b. The terms left after that is factored out are (2b^2 +3). These have no further common factors, or any factors in real numbers or integers.

The full factoring is ...

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Answer: 2

Step-by-step explanation:

3 wings cost $2 How many wings for $18?

Answers

Answer:

We can get 27 wings

Step-by-step explanation:

We can write a ratio to solve

3 wings             x wings

--------------- = --------------

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Using cross products

3 * 18 = 2 x

54 = 2x

Divide by 2

54/2 = 2x/2

27 =x

We can get 27 wings

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Answers

Answer:

12

Step-by-step explanation:

140 + 4 = 144

raíz cuadrada de 144 es 12

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Answer:

3 for the left one, and 5 on the right one.

Step-by-step explanation:

The scale factor is 2 because they are scaled from each other, meaning they have proportional side lengths. (The angles are also the same <hint for the next question>)

If the top side is 2.5, and the bottom is 5, then you divide to find the scaled factor since they correlate to each other.

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Luis is buying a 65 inch TV that costs $650. He pays $100 down and will pay the rest in monthly payments over two years. What will his monthly payments be?

Answers

if i’m not mistaken you do 650-100=550 then 550/24≈22.92

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.4 years, and standard deviation of 1.2 years.

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Answers

Answer:

6

56

this is answer

Step-by-step explanation:

Here we will show you how to calculate 6/7 divided by 8. We will give you the answer in fraction form and in decimal form.

Here is 6/7 divided by 8 displayed mathematically in colors:

6

7

÷

8

The numbers in 6/7 divided by 8 are labeled below:

6 = numerator

7 = denominator

8 = whole number

To make it a fraction form answer, you keep the numerator and multiply the denominator by the whole number to make a new denominator:

6

7 x 8

=

6

56

Thus, the answer to 6/7 divided by 8 in fraction form is:

6

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Find the complete factorization of
6x^3 - 15x^2 – 9x.
What is one of the factors of the complete fac-
torization of 6x^3 - 15x^2- 9x?

Answers

Option C is correct

Let us see the verification;

[tex]6x {}^{3} - 15x {}^{2} - 9x \\ 3x(2x {}^{2} - 5x - 3) \\ 3x( 2x {}^{2} + x - 6x - 3) \\ 3x(x(2x + 1) - 3(2x - 1) \\ (2x + 1)[/tex]

Hence, Proved ✔︎

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the correct answer is D on edge 2020 for me.

Step-by-step explanation:

In ΔPQR, r = 640 inches, q = 310 inches and ∠Q=30°. Find all possible values of ∠R, to the nearest degree.

Answers

Answer:

No Possible Triangles

Step-by-step explanation:

sinA/a =  sinB/b

 From the reference sheet (reciprocal version).

sinR/640 =  sin30/310  

Plug in values.

sinR=   (640 (sin30))/ 310≈1.0322581

Evaluate.

 

R=sin  −1  (1.0322581)=ERROR

Sine cannot be greater than 1.

Express 960% as a mixed number

Answers

Answer:

9 3/5

Step-by-step explanation:

When we see a percentage, we know that the base is 100. In other words, 960% is equal to 960/100

With this, its just a matter of transforming the improper fraction to a mixed number.

100 fits 9 times in 960 so there will be 9 wholes

the remaining 60/100 can be simplified to 3/5 through this process:

60/100 = 6/10 = 3/5

Answer:

9 3/5

Step-by-step explanation:

Step 1: Write down the percent divided by 100 like this:

960% = 960/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 960 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(960,100) = 20. So,

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Answers

Answer:

40 cm

Step-by-step explanation:

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Answer:

Exact form = 476/135

Decimal form = 3.5259

Mixed Number form = 3 71/135

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

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Answer:

3+jk+k^6

j=2 & k=6

substituting the values, we have

= 3+2(6)+6^3

= 3+12+216

= 231

Ans=231

Step-by-step explanation:

k³+jk+3

j=2 and k=6

Now

(6)³+2(6)+3216+12+3216+15231

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In the playing card deck below what is the chance of pulling 4 face cards without replacing the cards in between pulls? Answer in decimal form rounded to the 6th digit after the
decimal

Answers

Answer:

0.13000

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A repair team is responsible for a stretch of oil pipeline 2 miles long. The distance (in miles) at which any fracture occurs can be represented by a uniformly distributed random variable, with probability density function f(x) = 0.5.
What is the probability that the next fracture will occur in the last half mile of the two mile interval?

Answers

Using the uniform distribution, it is found that there is a 0.25 = 25% probability that the next fracture will occur in the last half mile of the two mile interval.

The uniform distribution has two bounds, a and b.  

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

In this problem, the distribution is uniform over 2 miles, thus [tex]a = 0, b = 2[/tex].

The probability of a failure on the last half-mile is P(X > 1.5), thus:

[tex]P(X > 1.5) = \frac{2 - 1.5}{2 - 0} = 0.25[/tex]

0.25 = 25% probability that the next fracture will occur in the last half mile of the two mile interval.

A similar problem is given at https://brainly.com/question/17088600

Fill the table so it represents a linear function

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Answer:

Hey mate.....can't see the attached picture....please check again

Answer:

what table??

Step-by-step explanation:

Eleanor has £50. Trevor takes £y. What’s an expression for how much Eleanor has got left?

Write down the answer, and don’t leave spaces, please.

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Answer:

£50-£y or 50-y

Step-by-step explanation:

remaining = initial - taken

remaining = 50 - y

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is b

Step-by-step explanation:

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Answer: 4

Step-by-step explanation:

Find multiples of 12 and 16

4 is a common multiple

if you start from 1/4 and add 4 to the denominator and 1 to the numerator you get the following sequence:

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Therefore the answer to the problem is 4

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Which of the following is the definition of geometric sequence?
A. an ordered set of numbers
B. an element in a sequence
C. a sequence in which terms are given by multiplying the previous term by a common ratio
D. a sequence in which terms are not given by multiplying the previous term by a common ratio

Answers

Answer:

Geometric sequence is a sequence in which terms are given by multiplying the previous term by a common ratio.

Answer:

a sequence in which terms are not given by multiplying the previous term by a common ratio

Step-by-step explanation:

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