round 3,197,270 to the nearest million
​

Step-by-step explanation:

10 hours per week: $10.50 x 10 = $105.00

20 hours per week: $105.00 x 2 = $210.00

40 hours per week: $210.00 x 2 = $420.00

Answer:

Infant mortality will reduce to 33% in 1.63 years

Step-by-step explanation:

Let the population be X

Population after 1 year

\(X - 7.3\) % of \(X\)

\(X -0.073 X\\0.927X\)

As we know

\(P = P_0 * e^{rt}\)

Substituting the given values we get -

\(\frac{P_0 - 0.33P_0}{P_0} = e^{-0.33 * t}\\0.67 = e^{-0.33 * t}\\\)

Taking log on both sides we get -

\(-0.20273 = -0.33 * t\\t = 1.627\)

You can form a general expression for resultant reduction percentage after t years. Then equate it with 33% to get the value of t

The time that will be taken by the program to reduce the infant mortality rate by 33% is approx 3.35 years.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

The rate of decrement for infant mortality rate is 7.3% per year.

Let the mortality rate in the start be \(r\)

Then after 1 year it becomes

\(r - \dfrac{r}{100} \times 7.5 = r(1-\frac{7.5}{100}) = r_1 \text{\: (say)}\)

After 1 more year, we will have:

\(r_1 -> r_1(1 - \frac{7.5}{100}) = r(1-\frac{7.5}{100})(1-\frac{7.5}{100}) = r(1-\frac{7.5}{100}) ^2 = r_2 \text{\: (say)}\)

Thus, after t years, we will have:

\(r_t = r(1-\frac{7.5}{100})^t\)

Simplifying it, we get:

\(r_t = r(1 - 0.075)^t = r(0.925)^t\)

The percent of decrement can be calculated by:

\(p = \dfrac{\text{old rate - new rate}}{\text{old rate}} \times 100\)

Thus,

the percent of decrement after t years will be

\(p = \dfrac{r - r_t}{r} \times 100 = \dfrac{r(1- (0.925)^t)}{r} \times 100 = 100(1-0.925^t)\\\\p = 100(1-0.925^t)\)

We need the time after which the infant mortality rate would be reduced by 33%, thus, p = 33%

or

\(p = 33\\p = 100(1-0.925^t) = 33\\1 -0.925^t = \dfrac{33}{100}\\t = log_{0.925}(1 - \dfrac{33}{100}) \approx 3.3525\)

Thus, after approx 3.35 years, the mortality rate would decrease by 33%

Thus,

The time that will be taken by the program to reduce the infant mortality rate by 33% is approx 3.35 years.

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Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

Answer: first one

Step-by-step explanation: when u divide the equation to (x+2) and (x-1)

Taking into account the definition of a system of linear equations, a student has 24 dimes and 6 nickels.

A system of equations is a set of equations in which there are two or more variables, the goal of which is to find all ordered pairs (x, y) that satisfy the equation, where x and y are real numbers.

In other words, a system of linear equations is a set of two or more first degree equations that relate two or more unknowns, in which it is desired to find the value of each unknown so that all the equations of the system are satisfied.

In this case, a system of linear equations must be proposed taking into account that:

You know that:

The system of equations to be solved is

d + n = 30

0.10d + 0.05n = 2.70

It is decided to solve it using the substitution method. This method consists of isolate one of the variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "d" from the first equation:

d= 30 -n

Replacing the expression in the second equation:

0.10×(30 - n) + 0.05n = 2.70

Solving:

0.10×30 - 0.10n + 0.05n = 2.70

3- 0.10n + 0.05n = 2.70

- 0.10n + 0.05n = 2.70 -3

-0.05n= -0.3

n= (-0.3)÷ (-0.05)

n= 6

Remembering that d=30 -n you get:

d= 30 - 6

d= 24

There are 24 dimes and 6 nickels.

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Answer:

84m²

Step-by-step explanation:

Area if a parallelogram is base×height

base=7m

height=12m

area=7m×12m=84m²

The statements that are true regarding the expression with the exponents -1, -3, and 1 are;

An exponent is a quantity or power to which a value, expression or number is to be raised.

The specified expression can be presented as follows;

8⁻¹ × 8⁻³ × 8

Therefore; 8⁻¹ × 8⁻³ × 8 = 8⁽⁻¹ ⁺ ⁻³ ⁺ ¹⁾ = 8⁻³ = 1/8³

1/8³ = 1/512

Similarly, we get; 8⁷ × 8⁻¹⁰ = 8⁽⁷ ⁻ ¹⁰⁾ = 8⁻³ = 1/8³

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Using the binomial distribution, it is found that:

a) There is a 0.0501 = 5.01% probability that you need to contact four people.

b) You expect to contact 1.82 students until you find one who lives within five miles of you.

c) The standard deviation is of 1.22 students.

d) 0.3369 = 33.69% probability that 3 of them live within five miles of you.

e) It is expected that 2.75 students live within five miles of you.

For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

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

The parameters are:

In this problem:

Item a:

This probability is P(X = 0) when n = 3(none of the first three) multiplied by 0.55(the fourth does live within five miles), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125\)

\(p = 0.091125(0.55) = 0.0501\)

0.0501 = 5.01% probability that you need to contact four people.

Item b:

The expected number of trials in the binomial distribution until q successes is given by:

\(E = \frac{q}{p}\)

In this problem, \(p = 0.55\), and 1 trial, thus \(q = 1\), hence:

\(E = \frac{1}{0.55} = 1.82\)

You expect to contact 1.82 students until you find one who lives within five miles of you.

Item c:

The standard deviation of the number of trials until q successes are found is given by:

\(S = \frac{\sqrt{q(1 - p)}}{p}\)

Hence:

\(S = \frac{\sqrt{0.45}}{0.55} = 1.22\)

The standard deviation is of 1.22 students.

Item d:

This probability is P(X = 3) when n = 5, hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369\)

0.3369 = 33.69% probability that 3 of them live within five miles of you.

Item e:

The expected value of the binomial distribution is:

\(E(X) = np\)

Hence:

\(E(X) = 5(0.55) = 2,75\)

It is expected that 2.75 students live within five miles of you.

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Answer:

P of b=7/20

P of g=3/20

P of y=6/20=3/10

P of p=4/20=1/5.

Step-by-step explanation:

there are in total 20 tiles so S=20

there are 7 blue tiles so P=E/S=7/20

there are 3 green tiles so P=E/S=3/20

there are 6 yellow tiles so P=E/S=6/20=3/10.

there are 4 purple tiles so P=E/S=4/20=1/5

Answer:

I hope this answer is Wright

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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The monthly payment for the auto loan is approximately $762.43.

(a) To find the required down payment, we need to calculate 20% of the cost of the van.

Down payment = 20% of $22,000

Down payment = 0.2 \(\times\) $22,000

Down payment = $4,400

Therefore, the required down payment is $4,400.

(b) The amount of the auto loan is the remaining cost of the van after the down payment.

Loan amount = Total cost of van - Down payment

Loan amount = $22,000 - $4,400

Loan amount = $17,600

Therefore, the amount of the auto loan is $17,600.

(c) To calculate the monthly payment for the auto loan, we can use the formula for the monthly payment on an amortized loan:

Monthly payment = (Loan amount \(\times\) Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Number of months))

In this case, the loan amount is $17,600, the annual interest rate is 4%, and the loan duration is 2 years, which is 24 months.

Monthly interest rate = Annual interest rate / 12

Monthly interest rate = 4% / 12

Monthly interest rate = 0.04 / 12

Monthly interest rate = 0.00333

Plugging in the values into the formula:

Monthly payment \(= ($17,600\times0.00333) / (1 - (1 + 0.00333)^{(-24)})\)

After calculating, the monthly payment comes out to be approximately $762.43.

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Answer:

58

Step-by-step explanation:

you have 2 2 by 2 squares and 1 5 by 10 rectangle

Answer:

415 miles

Step-by-step explanation:

Start with the speed equation:

speed = distance/time

Now solve the speed equation for distance:

distance = speed × time

Apply the speed equation solved for distance to the two parts of the trip.

4 hours at 55 mph:

distance = 55 mph × 4 hours = 220 miles

3 hours at 65 mph:

distance = 65 mph × 3 hours = 195 miles

Add the two distances to find the total distance:

total distance = 220 miles + 195 miles = 415 miles

Answer: 415 miles

Answer:

415 miles

Step-by-step explanation:

Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.

How far did he drive?

d=rt

For the first part of the trip:

d = 55 * 4 = 220 miles

For the second part of the trip:

d = 65*3 =195 miles

Add the miles together

220+195 = 415 miles

Step-by-step explanation:

Median: 35000

Mean: 383333.33333333 (round it)

Mode: 10000, 20000, 30000, 40000, 200000, 2000000 (all the numbers)

Answer:

16.03% increase.

Step-by-step explanation:

4.264+25%+6.396 = 16.03% increase.

Answer:  x    =   -3

Step-by-step explanation:

3(x + 1) = -6

Divide both sides by 3:   3(x + 1) / 3 = -6 / 3

                                              x + 1 = -2

Subtract 1 from each side:   x + 1 - 1 = -2 - 1

                                                      x    =   -3

In the given inequality 14 + x > 5, the graph represents the value of x greater than -9.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

When the inequality is plotted on the graph it represents that the value of x is greater than -9.

The graph of the inequality  14 + x > 5, is attached with the answer below.

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Possible asks from the question?!

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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\( {\qquad\qquad\huge\underline{{\sf Answer}}} \)

Here we go ~

\(\qquad \sf  \dashrightarrow \: scale \: \: factor = \cfrac{new \: \: measure}{original \: measure} \)

\(\qquad \sf  \dashrightarrow \: s = \dfrac{6}{2} \)

\(\qquad \sf  \dashrightarrow \: s = 3\)

so, correct choice is D

Answer:

122

Step-by-step explanation:

<HEB=180-(42+32)

=180-74

=106

<DEA=180-106 (straight line)

=74

<NAD=48+74(exterior angle = sum of 2 interior opposite angles)

<NAD=122

Answer:

scalene

Step-by-step explanation:

Answer:

Scalene

Step-by-step explanation:

Equilateral means all the sides are the same.

Isosceles means only two are the same.

Scalene means none are the same.

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

Answer:

Step-by-step explanation:

\(x + 10 = 20\\x = 20 - 10\\x = 10\)

Answer:

10

Step-by-step explanation:

x+10=20

x=20-10

=10