: the small town of west fremont has a population of 50,000. if the growth rate of west fremont is 2%, then how long will it take for the population of west fremont to double?

The number of races that were 10-kilometer long is 102.

An athlete ran a total of 1,500 kilometers in a race before retiring. The athlete completed 32 races that were at least 15 kilometers in length. The rest were 10-kilometer races. We need to find out the number of races that were 10-kilometer long.

Let the number of races that were 10-kilometers long be denoted by the variable "x". An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equal sign. We can write the equation as given below.

32×15 + 10x = 1,500

480 + 10x = 1,500

10x = 1,500 - 480

10x = 1,020

x = 1,020/10

x = 102

Hence, the number of races that were 10-kilometer long is 102.

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The probability that at least 9 out of 10 solar-heat installations will succeed and reduce the utility bill is 0.0464.

What is a binomial distribution?

The probability distribution known as the binomial distribution, which is used in statistics, quantifies the chances that a value will take one of two independent values given a particular set of conditions or hypotheses.

Formula to calculate the binomial distribution

P(X = x) =ⁿCₓ× pˣ×(1-p)ⁿ⁻ˣ

Here, we know that

Solar-heat installations successfully reduce the utility bill 60% of the time.

We have to calculate the probability that at least 9 out of 10 solar-heat installations will succeed and reduce the utility bill.

We have 60% = 0.6 = p and n = 10.

We have a binomial distribution: X : (10, 0.6).

We use the binomial distribution formula to calculate the probability

P(X = x) =ⁿCₓ× pˣ×(1-p)ⁿ⁻ˣ, we get

P(x ≥ 9) = 1 - P(x < 9)

P(x ≥ 9) = 1 - P(x ≤ 8)

P(x ≥ 9) = 1 - ∑⁸₀ P(x = x)

P(X ≥ 9) = 1 - ∑⁸₀¹⁰Cₓ × (0.6)ˣ × (1-0.6)¹⁰⁻ˣ

P(X ≥ 9) = 1 -( 0.00011 + 0.00157 + 0.01062 + 0.04247 + 0.11148 + 0.20066 + 0.25082 + 0.21499 + 0.12093)

P(X ≥ 9) = 1 -0.95365

P(X ≥ 9) = 0.04635

Hence, the probability that at least 9 out of 10 solar-heat installations will succeed and reduce the utility bill is 0.0464.

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Answer: 2x^2 -6x

Step-by-step explanation:

First you should distribute the x's as shown:

(x)(x)+(x)(−3)+(3)(x)+(3)(−3)+x2+−6x+9=x2+−3x+3x+−9+x2+−6x+9

Then combine Like terms:

↓x2+−3x+3x+−9+x2+−6x+9=↓

↓(x2+x2)+(−3x+3x+−6x)+(−9+9)↓

2x2+−6x

Hope this helped... :)

The numerical value of the expression ( jk−1 )÷j when j=−4 and k=−0.9 is -0.65.

Given the expression in the question;

To determine the numerical value of the expression, plug in the values of j and k and then simplify.

( jk − 1 ) ÷ j

Plug in j = -4 and k = -0.9

( jk − 1 ) ÷ j

( (-4 × -0.9) − 1 ) ÷ (-4)

Simplify

( 3.6 − 1 ) ÷ (-4)

( 2.6 ) ÷ (-4)

-0.65

Therefore, the value of the expression is -0.65.

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Answer:

Hey, hope it helps my friend

Step-by-step explanation:

In the image

The length of the x is 4.8 units

In the given figure

There is one circle and 2 chords

The chord of the circle is defined as the line segment joining any two points one the circumference of the circle

There are two chords in the figure, those are BD and AC

We know that

DE × EB = AE × EC

This is the rule of chords in the circle

The length of DE = 10 units

The length of EB = x units

The length of AE = 6 units

The length of EC = 8 units

Substitute the values in the equation

10 × x = 6 × 8

10x = 48

x = 48/10

x = 4.8 units

Hence, the length of the x is 4.8 units

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The solution of given inequality is x≤-2.

What is inequality?

Inequality (mathematics), a relation between two numbers or quantities indicating which of them is greater or smaller. An inequality is denoted by the symbol <, which is drawn pointed toward the smaller number.

The meaning of inequality is to say that two things are NOT equal. One of the things may be less than, greater than, less than or equal to, or greater than or equal to the other things.

p ≠ q means that p is not equal to q

p < q means that p is less than q

p > q means that p is greater than q

p ≤ q means that p is less than or equal to q

p ≥ q means that p is greater than or equal to q.

Given, inequality

8x - 5x ≤ -6

3x ≤ -6

x≤ -6/3

x≤ -2.

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the option a is the correct option.

Number of ocicats that [tex]19\frac{1}{2}[/tex] food will last for one week is 4 .

In the question ,

it is given that

the amount of food that the ocicat eats in 1 day = 3/5 pound

So , the amount of food that the ocicat eats in 1 week = (3/5) × 7 = 21/5

we have to find the number of ocicat that can eat [tex]19\frac{1}{2}[/tex] pound of food feed .

So ,

the number of ocicat that can eat  [tex]19\frac{1}{2}[/tex] pound of food feed = [tex]19\frac{1}{2}[/tex] ÷ 21/5

= (19*2+1)/2 ÷ 21/5

= 39/2 × 5/21

= (39 × 5)/(2 × 21)

= 195/42

= 65/14

= [tex]4\frac{9}{14}[/tex]  ocicats

since the number of ocicats cannot be in fraction ,

so number of ocicats = 4

Therefore , Number of ocicats that [tex]19\frac{1}{2}[/tex] food will last for one week is 4 .

The given question is incomplete , the complete question is

An ocicat eats 3/5 of a pound of food daily. How many whole ocicats can a [tex]19\frac{1}{2}[/tex] -pound bag of food feed for one week?

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Answer:

164 minutes

Step-by-step explanation:

$8 + $0.06m = $17.84

To isolate the m, first bring the eight to the other side

0.06m = 9.84

then divide both sides by 0.06

m = 164

Answer:

6X/X^2-2X+1

Step-by-step explanation:

x

2

−3x+2

9x

2

+18x

​

÷

2x−4

3x

2

+3x−6

​

Divide  

x

2

−3x+2

9x

2

+18x

​

 by  

2x−4

3x

2

+3x−6

​

 by multiplying  

x

2

−3x+2

9x

2

+18x

​

 by the reciprocal of  

2x−4

3x

2

+3x−6

​

.

(x

2

−3x+2)(3x

2

+3x−6)

(9x

2

+18x)(2x−4)

​

Factor the expressions that are not already factored.

3(x−2)(x+2)(x−1)

2

2×9x(x−2)(x+2)

​

Cancel out 3(x−2)(x+2) in both numerator and denominator.

(x−1)

2

2×3x

​

Expand the expression.

x

2

−2x+1

6x

​

You can use the hypotenuse formula, e.g., from the Pythagorean theorem calculator, to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w², and now you should know how to find the diagonal of a rectangle explicit formula - just take a square root: d = √ (l² + w²).

Answer:

Adult is 10$ and Child is 7$.

Unfortunately for the family, they do not have enough to go to the theater. They do not have that extra dollar.

Hope this helps!

Step-by-step explanation:

2x + 4y = 48

5x + 2y = 64

2x + 4y = 48

10x + 4y = 128

( 10x - 2x ) + ( 4y - 4y ) = ( 128 - 48 )

8x = 80

x = 10

2 ( 10 ) + 4y = 48

20 + 4y = 48

4y = 48 - 20

4y = 28

y = 7

In the function f(2)= -5, 2 is the preimage of the function and 5 is an image of the function.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

Suppose that f(a) = b

In that case, element "b" is the image of element "under the function," while element "a" is the preimage of element "under the function."

In the given function f(2)= -5

2 is the preimage of the function and 5 is an image of the function.

Hence, the 2 is the preimage of the function and 5 is an image of the function.

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Answer:

10

Step-by-step explanation:

substitute x = 4 into the expression

3x - 2 = 3(4) - 2 = 12 - 2 = 10

Answer: 10

Step-by-step explanation:

4 × 3 = 12

12 - 2= 19

Hope it helps

The maximum number of people the lift can safely carry is 8 people.

Given that, the average mass of a man is 84 kg and of a woman is 70 kg.

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Now, average = (84+72)/2

= 156/2

= 78

Let the number of people in the left be n.

So, 78n≤620

Divide 78 to both the sides of the inequality

78n/78≤620/78

⇒ n≤7.9

⇒ n≤8

Therefore, the maximum number of people the lift can safely carry is 8 people.

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Answer:

Step-by-step explanation:

from the area we find the side by taking the square root, having found the side we multiply it by 4 and we have the perimeter, we can solve it with a simple expression that summarizes what I wrote

4√81 =

4 × 9 =

36 mm

The proportion of Americans who support federal spending cuts to Medicaid is less than 0.12 leads to Type 1 error.

When we reject a true H₀ it is known as type 1 error. The probability of type 1 errors is inversely proportional to the amount of confidence you choose. There is a 5% possibility of receiving a type 1 error on a test with a 95% confidence level.

When we feel to reject a false H₀ it is known as type 2 error.

H₀:P= 0.12

Hₐ:P= 0.12

The question implies that we actually rejected the null hypothesis, while there is a chance that it is true and we are rejecting a true null hypothesis.

Therefore, it only suggests that there is a possibility that we will make a type 1 error.

Consequently, Type 1 error is the response to our query.

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x is the independent variable and H(x) is the dependent variable

A dependent variable is a variable whose value depends upon independent variables.

An independent variable is a variable that does not depend on any other variable for its value.

For example, in an expression, y = 3x + 2, x is an independent and y is a dependent variable because y depends on x for its value

Given: H(x) = 3+0.5x

Therefore, x is the independent variable and H(x) is the dependent variable because it is a function of x

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Answer:

28

Step-by-step explanation:

mean is when you add all the numbers divide it by the amount of terms

So to find the sum of the terms we just multiply 5 by 4

20 is the sum and since the mean is 8 with 6 terms we multiply those also

8x6

48 and to find the number we subtract 48 by 20

48-20

28

Hopes this helps please mark brainliest

The amount of Interest Tristan pays is $955.2

Given:

Tristan borrows $4000 at an interest rate of 7.4% with a loan term of 3 years.

we are asked to determine the interest Tristan pays for it:

we know:

P = $4000

r = 7.4%

t = 3 years.

Evaluate :

I = 4000(1+7.4%)³ - 4000

I = 4000(1+0.074)³ - 4000

I = 4000(1.074)³ - 4000

I = 4000(1.2388) - 4000

I = 4955.2 - 4000

I = 955.2

Hence we get the required interest as $955.2

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By using the diagram and the given angle measure we get that:

if, m∠1 = 143°

then, m∠2 = 37°

         m∠3 = 143°

         m∠4 = 37°

What is angles?

An angle is formed when two straight lines or rays meet at a common endpoint.

What is Properties of Congruence?

       For all angles A ,

        ∠A≅∠A .

       An angle is congruent to itself.

        For any angles A  and  B ,

        if ∠A≅∠B , then ∠B≅∠A .

         Order of congruence does not matter.

        For any angles A,B,  and  C ,

        if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C .

        If two angles are both congruent to a third angle, then the first two        angles are also congruent.

I assume that, this refers to two intersecting lines which form four angles.

         ∠1 + ∠2 = 180°

          143° + ∠2 = 180°

          ∠2 = 180° - 143°

          ∠2 = 37°.

         It means that,  ∠1 = ∠3 =143° (properties of congruency)

         and ∠2 = ∠4 =37° (properties of congruency).

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Ratio of amount $600 share by Annie and Dermot is 11 : 9, then amount  received by Annie is $330 and Dermot is $270.

As given in the question,

Total amount share by Annie and Dermot is $600.

Ratio of amount share by Annie and Dermot is 11 : 9

Let x be the amount of money.

11x + 9x = $600

⇒ 20x = $600

⇒20x/20 = $600/20

⇒x= $30

Amount received by Annie is equal to

= 11 × 30

= $330

Amount received by Dermot is equal to

= 9 × 30

= $270

Therefore, ratio of amount $600 share by Annie and Dermot is 11 : 9, then amount  received by Annie is $330 and Dermot is $270.

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The required measure of the angle is m∠A=64°.

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

,

Here,
Angles are represented by an algebraic expression, and the sum of the angle is 180°.
According to the question,
m∠A+m∠B+m∠C=180°
Substitute the value in the equation,
4x+90°+x+10=180°
5x = 180 - 100
5x = 80
x = 16°

Thus, the required measure of the angle is m∠A=64°.

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An example of experiment is B. Researchers working for a company test their new sneaker design to see if it helps athletes run faster.

An experiment simply means a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried. It should be noted that experiments provide insight into cause-and-effect as they demonstrate what outcome occurs when a particular factor is manipulated

Experiments have a vital place in the development of science because experiments are used to test the reality of a thought, an axiom, or a phenomenon with a theoretical basis and to turn it into a law or a theorem.

In this case, testing the new sneakers is an experiment.

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The value of the down payment for the car is $345.

From the information, Scott will purchase a new computer on an installment plan and the computer costs $2,300 and requires a 15% down payment.

The value of the down payment will be:

= Down payment percentage × Total cost

= 15% × $2300

= 0.15 × $2300

= $345

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answer:

100 text messages.

$50-$40 = $10

$10/$0.1 = 100

100 text messages

Answer:

10

Step-by-step explanation:

(2w + 4) - (2w - 6)

2w + 4 - 2w + 6

2w - 2w + 4 + 6

10

I hope this helps!