The distance between two locations on a map is 6 centimeters (cm). If 1 cm on the map corresponds to an actual distance of 15 miles,
what is the actual distance, in miles, between the two locations?
04

Answer:

- 4 3/20 The other person is correct

Step-by-step explanation:

The water is 399 feet fell.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Two years ago, the water level in a local reservoir fell 834 feet.

Last year, the water level rose 435 feet.

So, the water level of the reservoir change overall during these two years

= -834 + 435

= -399

Hence, the water is 399 feet fell.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

since they are parallel lines therefore the angles hence formed will also be equal

x+5=2x-7

5+7=2x-x

12=x

hence the ans is 12

plz mark it as brainliest

Answer:

$99.34

Step-by-step explanation:

(a) The probability that all 11 women dislike their mother-in-law is approximately 0.209.

(b) The probability that none of the 11 women dislike their mother-in-law is approximately 0.002.

(c) The probability that at least nine of the 11 women dislike their mother-in-law is approximately 0.995.

(d) The probability that no more than eight of the 11 women dislike their mother-in-law is approximately 0.996.

This problem can be approached using the binomial distribution, which models the number of successes in a fixed number of independent trials with the same probability of success.

Let p be the probability that a randomly chosen married woman dislikes her mother-in-law, based on the sociologists' claim. Then, we have p = 0.8.

(a) To find the probability that all 11 women dislike their mother-in-law, we can use the binomial distribution with n = 11 and p = 0.8:

P(X = 11) = (11 choose 11) × 0.8^11 × 0.2^0 ≈ 0.209

(b) To find the probability that none of the 11 women dislike their mother-in-law, we can use the binomial distribution again

P(X = 0) = (11 choose 0) × 0.8^0 × 0.2^11 ≈ 0.002

(c) To find the probability that at least nine of the 11 women dislike their mother-in-law, we can use the complement rule and find the probability that fewer than nine dislike their mother-in-law

P(X < 9) = P(X = 0) + P(X = 1) + ... + P(X = 8)

Using the binomial distribution for each term, we get

P(X < 9) ≈ 0.005

Therefore, the probability that at least nine of the 11 women dislike their mother-in-law is approximately 1 - 0.005 = 0.995.

(d) To find the probability that no more than eight of the 11 women dislike their mother-in-law, we can again use the binomial distribution and add up the probabilities of X = 0, 1, ..., 8:

P(X ≤ 8) = P(X = 0) + P(X = 1) + ... + P(X = 8)

Using the binomial distribution for each term, we get

P(X ≤ 8) ≈ 0.996

Learn more about probability here

brainly.com/question/29350029

#SPJ4

If Ava is not an electrician, then Harrison is not an electrician, but if Ava is an electrician, then Harrison is an electrician.


Symbolization in Propositional Logic:
Let S represent "Ava is satisfied with her career"
Let T represent "Harrison is satisfied with his career"
b) Ava is satisfied with her career if and only if Harrison is not satisfied with his.
Translation: S ↔ ~T

The statement uses the biconditional operator "if and only if" to establish an equivalence between Ava's satisfaction with her career and Harrison's lack of satisfaction with his career. It is symbolized as S ↔ ~T, where S represents Ava's satisfaction and ~T represents Harrison's lack of satisfaction.

The biconditional operator ensures that both sides of the statement are equivalent. If Ava is satisfied with her career, then Harrison must not be satisfied with his career, and vice versa. The statement establishes a direct relationship between the satisfaction levels of Ava and Harrison.

Learn more about Equivalent expression click here :brainly.com/question/14083225

#SPJ11

What is one major limitation of the Social Readjustment Rating Scale?

Learn more about  Social Readjustment Rating Scale brainly.com/question/13044228

#SPJ4

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

Find out more information about geometric sequence here:

brainly.com/question/11266123

Answer:

45o and 135o

Step-by-step explanation:

The sum of angles of a linear pair is always equal to 180°.

So if the first angle is x,

then the second angle is 3x

x + 3x = 180

4x = 180

x = 45

then 3x = 135

The number of possible numbers in the given format is 7 × 9 × 9 × 9 × 10⁴, there are 567,000,000 possible telephone numbers in the given format.

In the given telephone number format, there are 7 digits, denoted by abc - xxxx.

The digit a is restricted to the range 3 - 9, so there are 7 possible choices for a.

The digits b and c can be any digit from 1 - 9, so there are 9 possible choices for each of them.

For the remaining digits x, they can be any digit from 0 - 9, resulting in 10 choices for each x. Since there are 4 x's in the format, we have 10⁴ choices for these digits.

To calculate the total number of possible telephone numbers, we multiply the number of choices for each digit: 7 × 9 × 9 × 9 × 10⁴ = 7 × 9³ × 10⁴ = 7 × 9⁴ × 10⁴ = 7 × 9⁴ × (10²)² = 7 × (9²)² × (10²)² = 7 × 81 × 10⁴ × 10⁴ = 7 × 81 × (10⁴)² = 7 × 81 × 10⁸ = 567 × 10⁸ = 567,000,000.

learn more about Possible numbers

https://brainly.com/question/29208955

#SPJ11

Answer:

4 hours

Step-by-step explanation:

It is 4 hours because you do 36 divide by 12 which is 4, Then you do 4x1= 4

Answer:

Step-by-step explanation:

9.6×10^9=96/10 ×10^9=96×10^8=9,600,000,000

Answer:

0.14

Step-by-step explanation:

If winning holds a probability of 0.5 and a draw holds a probability of 0.3, then that means that losing has a probability of 0.2 (1 - 0.5 - 0.7 = 0.2). Therefore, to find the probability of Vishi losing exactly one of the two games we need to multiply the probability of him losing one game by the probability of him winning or tying the second game like so...

0.2 * (0.5 + 0.3) = x

0.2 * 0.7 = x

0.14 = x

Finally, we can see that the probability of Vishi losing exactly one of the two games is 0.14

To determine the number of tons of metal per year needed for Machine A to be favored over Machine B, we compare their costs. Machine A costs $323,000 with an annual operating cost of $2.40/ton, while Machine B costs $178,000 with an annual operating cost of $8.00/ton. The machines have useful lives of 10 years and 6 years, respectively, and the minimum attractive rate of return (MARR) is 18% per year.

By calculating the equivalent annual costs (EAC) for each machine using the given formula and comparing them, we can determine the point at which Machine A becomes more favorable. However, specific values for the discounting factors and the tons per year needed are missing, making it impossible to provide an exact answer.

Learn more about investment analysis here: brainly.com/question/32546870

#SPJ11

Answer:

x = -14.

Step-by-step explanation:

x + 5 * 4 + 3 = 9

x + 20 + 3 = 9

x + 23 = 9

x = -14

Hope this helps!

Answer:

the first one

Step-by-step explanation:

the others don't make any sense and also the first one's the only one that's in inequality form.

The inequality that represents the ages is 12 ≤ a ≤ 18.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

The inequality graphed below is shown.

The number line includes the numbers 12 and 18.

So,

The ages of the baseball team are 12 to 18.

This can be written as,

12 ≤ a ≤ 18

Thus,

The inequality that represents the ages is 12 ≤ a ≤ 18.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ7

10y⁵ + 30y³ - 15y =

5y * 2y⁴ + 5y * 6y² + 5y * (-3) =

5y (2y⁴ + 6y² - 3)

Answer:

P(-5) = 109

Step-by-step explanation:

     If the polynomial p(x) is divided by the linear polynomial (x-a), the remainder is p(a).

   Dividend = divisor * quotient + remainder.

   p(x) = (x-a) * q(x) + p(a)

Here, q(x) is the quotient and p(a) is the remainder.

      P(x) = 4x² - x + 4

     P(-5) = 4*(-5)² - 1*(-5) + 4

              = 4*25 + 5 + 4

              = 100 + 5 + 4

              = 109

Answer:

-60

Explanation:

To find the 4th term we need to also find the 2nd and 3rd terms as follows:

Finally, we can calculate the value of the 4th term as:

So, the answer is -60

Answer:

60 degree and 120 degree

Value of hypotenuse x in the triangle is 9.4.

A trigonometric function is a mathematical function that relates the angles of a triangle to the ratios of the sides of the triangle. The sine, cosine, and tangent functions—abbreviated as sin, cos, and tan, respectively—are the three most used trigonometric operations. Other trigonometric functions include the cosecant (csc), secant (sec), and cotangent (cot) functions. These functions are used extensively in mathematics, science, and engineering to model periodic phenomena, such as sound and light waves, and to solve problems related to geometry and trigonometry.

Given triangle is right angled triangle.

base of triangle=8

hypotenuse of triangle=x

Using trigonometric function,

Cosθ=base/Hypotenuse

For θ=30°,

Cos32°=b/h

cos32°=8/x

x=8/cos32°

x=8/0.84

x=9.4

To know more about triangle, visit:

https://brainly.com/question/2773823

#SPJ1

Answer:

x<-4

Step-by-step explanation:

To solve this problem, follow these steps:

1. Subtract 5 from both sides.

13<-2x+5

13(-5)<-2x+5(-5)

2. Simplify.

(8)<-2x+5-5

3. Subtract the 5's. And bring down the new equation.

8<-2x+5-5

8<-2x

4. Divide -2x on both sides.

8/-2<-2x/-2

5. Simplify and cancel out the -2's.

-4<x

6. Move the variable to the left and flip the inequality.

x<-4

Answer:

644.89

Step-by-step explanation:

Answer:

644.89 m

Step-by-step explanation:

68 / 100 * 948.37 = 0.68 * 948.37 = 644.89 m (2 d.p.)

Answer:

it's 1,-1

Step-by-step explanation:

hoped I helped. I'm good at these.

In light of the query we've got D)x + y ≤ -2 and 2x - 3y ≤ -9 is a pair of inequalities for (-3, 1) is the correct answer.

When resolving an inequality, you can do one of the following: · Add a same number to each side; • Subtract the same amount from each side; • Multiply or divide either aspect by the exact positive amount. You must flip the inequality sign if you combine or split each end by a negative number.

According to the values x = -3, y = 1

-3 + 1 = -2, which is less than or equal to -2, so the first inequality is true.

2 * -3 - 3 * 1 = -9, which is less than or equal to -9, so the second inequality is also true.

Since both inequalities are true, (-3, 1) is a solution for the system of inequalities x + y ≤ -2 and 2x - 3y ≤ -9.

we get ,

x + y ≤ -2

2x - 3y ≤ -9

To know more about Inequalities visit :

https://brainly.com/question/19003099

#SPJ1

The Complete Question :

For which system of inequalities is (-3, 1) a solution?

A. x+y<-2 and 2x-3y <-9

B. x+y<-2 and 2x-3y <-9

C. x+y≤-2 and 2x-3y <-9

D. x+y≤-2 and 2x-3y ≤-9

John earned $400 interest at a rate of 6% for 3 years. Therefore, the amount of money John originally invested was $2,222.22.

We are able to use the Simple interest formula to resolve this problem:

Simple interest is a simple concept in finance that is used to calculate the interest earned or paid on a essential amount over a positive time period.

Simple interest = (principal x charge x time)

Given that John earned $400 in interest at a price of 6% for three years, we are able to set up the equation as:

400 = (P x 0.06 x 3)

In which P is the principal (the original amount invested).

Simplifying this equation, we get:

400 = 0.18P

Dividing both facets through 0.18, we get:

P = $2,222.22

Thus, John originally invested $2,222.22.

learn more about Simple interest formula:-

https://brainly.com/question/25845758

#SPJ4

Since the total probability of the sample space S must be equal to 1, it is not possible for three events with probabilities that add up to more than 1 to form the sample space.

9. If S={a,b,c,d,e,f} with P(a)=P(b)=P(c) and P(d)=P(e)=P(f)=0.1, find P(a).

Since P(a), P(b), and P(c) are equal, we can let P(a) = P(b) = P(c) = x.

Then, we know that P(d) = P(e) = P(f) = 0.1.

The total probability of the sample space S is equal to 1. So, we can write the equation:
P(a) + P(b) + P(c) + P(d) + P(e) + P(f) = 1

Substituting the given values, we get:
3x + 0.1 + 0.1 + 0.1 = 1
3x + 0.3 = 1
3x = 1 - 0.3
3x = 0.7

Dividing both sides by 3, we find:
x = 0.7/3
So, P(a) = 0.233.

10. If S={a,b,c,d,e,f} with P(a)=P(b)=P(c), P(d)=P(e)=P(f), and P(d)=2P(a), find P(a).

Let P(a) = P(b) = P(c) = x. And let P(d) = P(e) = P(f) = y.

We also know that P(d) = 2P(a).

Using the equation for the total probability:
P(a) + P(b) + P(c) + P(d) + P(e) + P(f) = 1

We can substitute the given values:
3x + 3y = 1
We also know that P(d) = 2P(a):
y = 2x

Substituting this into the previous equation:
3x + 3(2x) = 1
3x + 6x = 1
9x = 1

Dividing both sides by 9, we find:
x = 1/9
So, P(a) = P(b) = P(c) = 1/9.

11. If E and F are two disjoint events in S with P(E)=0.2 and P(F)=0.4, find P(E∪F), P(Ec), and P(E∩F).

Since E and F are disjoint, their intersection, E∩F, is empty.

The probability of the union of two disjoint events is the sum of their individual probabilities:
P(E∪F) = P(E) + P(F) = 0.2 + 0.4 = 0.6

The complement of E, Ec, is the event that consists of all outcomes in S that are not in E.

The complement of an event has a probability equal to 1 minus the probability of the event:
P(Ec) = 1 - P(E) = 1 - 0.2 = 0.8

Since E and F are disjoint, their intersection, E∩F, is empty, so its probability is 0:
P(E∩F) = 0

12. It is not possible for E and F to be two disjoint events in S with P(E)=0.5 and P(F)=0.7 because the sum of their probabilities would exceed 1.

Since the total probability of the sample space S must be equal to 1, it is not possible for two events with probabilities that add up to more than 1 to be disjoint.

13. If E and F are two disjoint events in S with P(E)=0.4 and P(F)=0.3, find P(E∪F), P(Fc), P(E∩F), P((E∪F)c), and P((E∩F)c).
Since E and F are disjoint, their intersection, E∩F, is empty.

The probability of the union of two disjoint events is the sum of their individual probabilities:
P(E∪F) = P(E) + P(F) = 0.4 + 0.3 = 0.7

The complement of F, Fc, is the event that consists of all outcomes in S that are not in F.

The complement of an event has a probability equal to 1 minus the probability of the event:
P(Fc) = 1 - P(F)

= 1 - 0.3

= 0.7
Since E and F are disjoint, their intersection, E∩F, is empty, so its probability is 0:
P(E∩F) = 0

The complement of the union of two events, (E∪F)c, is the event that consists of all outcomes in S that are not in the union of E and F.

The complement of an event has a probability equal to 1 minus the probability of the event:

P((E∪F)c) = 1 - P(E∪F) = 1 - 0.7 = 0.3
The complement of the intersection of two events, (E∩F)c, is the event that consists of all outcomes in S that are not in the intersection of E and F.

The complement of an event has a probability equal to 1 minus the probability of the event:
P((E∩F)c) = 1 - P(E∩F) = 1 - 0 = 1

14. It is not possible for S={a,b,c} with P(a)=0.3, P(b)=0.4, and P(c)=0.5 because the sum of their probabilities exceeds 1.

Since the total probability of the sample space S must be equal to 1, it is not possible for three events with probabilities that add up to more than 1 to form the sample space.

To know more about probability visit:

https://brainly.com/question/31828911

#SPJ11

The initial deposit into the account was approximately $319.17.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

We are given that;

Amount = $448

Rate=2.8%

Time= 10 years

Now,

We can use the formula for compound interest to solve this problem:

A = P(1 + r/n)^(nt)

where:

A = the amount of money in the account after 10 years

Substituting these values into the formula, we get:

$448 = P(1 + 0.028/1)^(1*10)

Simplifying, we get:

$448 = P(1.028)^10

Dividing both sides by (1.028)^10, we get:

P = $448 / (1.028)^10

Using a calculator, we get:

P ≈ $319.17

Therefore, by the given interest answer will be approximately $319.17.

Learn more about simple interest here;

https://brainly.com/question/1548909

#SPJ1

The complete question is;

Find the initial deposit into an account that eamed $448 at an interest rate of 2.8% after 10 years.

Answer:

S(C(x)) = –0.14x2 + 140; $108.50

Step-by-step explanation:

did the assignment

Answer:

S(C(x)) = -0.14x2 + 140, $108.50

The other two points on the line are (2, 7) and (4, 14).

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

Given, Sonya walks on a treadmill at a constant rate of 3.5 miles per hour

it is the slope.

∴ The equation of this line passing through point (1, 3.5) is,

3.5 = 3.5(1) + b.

b = 0.

So, y = 3.5x.

Now the other points can be obtained by choosing some integer values of x.

When x = 2, y = 7 ⇒ (2, 7).

When x = 4, y = 14 ⇒ (4, 14).

learn more about lines and slopes here :

https://brainly.com/question/16180119

#SPJ1

The shortest possible distance between Trae and Katrina is 6 feet.

Since Yana, Josh, and Katrina are standing at the vertices of a right triangle, the distance between Yana and Josh is the hypotenuse of the triangle and the other two sides are the legs.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“.

Using the Pythagorean theorem, we can calculate that the distance between Yana and Katrina is 15 feet.

( 18^2 + 12^2 = 15^2)

Since Trae is standing between Josh and Katrina, the shortest possible distance between Trae and Katrina is half of the distance between Josh and Katrina, which is 6 feet.

To learn more about Pythagorean theorem visit: brainly.com/question/343682

#SPJ4