|||
Finding a point that partitions a segment in the plane in a given...
The point N lies on the segment MP.
Find the coordinates of N so that MN is
is
M(-13, 18)
N (7.7)
of A
of MP.
(2-7)
Coordinates of N: D

Answer:

The probability is 0.857

Step-by-step explanation:

We know that:

There is a total of 440 cars

There are 63 cars with defective turn signals

There are 39 with defective tires.

Now we want to find the probability that a randomly selected car does not have defective turn signals.

If all the cars have the same probability of being selected, this probability will be equal to the quotient between the number of cars that do not have defective turn signals and the total number of cars.

We know that the total number of cars is 440

And 63 of these have defective turn signals, then the rest don't.

440 - 63 = 377 cars do not have defective turn signals.

Then the probability is:

P = 377/440 = 0.857

Answer:

This formula has no values, it is a false inequality. X can not be greater than 5, and less than 3.

Step-by-step explanation:

x < 3 or x > 5

This means, x is less than 3, but greater than 5.

Technically, you would write this as 5 < x < 3, however, this is a false inequality, and does not work.

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

Answer:

Step-by-step explanation:

Given:

We know that the sum of squares of diagonals of the parallelogram is equal to twice the sum of the squares of the sides:

Substitute the values and solve for b:

Using a system of equations, it is found that the trains will be side by side in 15 seconds.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

\(y_1 = 229t\)

\(y_2 = 149t + 1200\)

They will be side-by-side when:

\(y_1 = y_2\)

Hence:

\(229t = 149t + 1200\)

\(80t = 1200\)

\(t = \frac{1200}{80}\)

\(t = 15\)

The trains will be side by side in 15 seconds.

More can be learned about system of equations at https://brainly.com/question/24342899

Answer:

1/52

Step-by-step explanation:

If you shuffle a deck of cards and ask a friend to guess what the first card you turn over will be, his or her chance of guessing it right is 1/52 since there are 52 possible cards. If you do the same with the second card, his or her chances get better: 1/51.

Answer:

x=3

y=13

Step-by-step explanation:

Multiply the second equation by 2:

2(5x=y+2) = (10x=2y+4)

Subtract one equation from the other:

   14x=2y+16

-   10x=2y+4

=  4x=12

Solve for x:

4x=12

x=3

Solve for y by plugging in x:

5(3)=y+2

15=y+2

13=y

Answer:

44m²

Step-by-step explanation:

GIVEN :-

TO FIND :-

SOLUTION :-

Divide the whole figure into 2 rectangles.

Area of 1st rectangle = 6 × 2 = 12m²

Area of 2nd rectangle = 8 × 4 = 32m²

∴ Area of the whole figure = 32 + 12 = 44m²

Therefore , the solution of the given problem of probability comes out to be a)1/78 ,b)65/624 ,c)1/4 ,d)0 and e)12/13.

The basic goal of any considerations technique is to assess the probability that a statement is accurate or that a specific incident will occur. Chance can be represented by any number range between 0 and 1, where 0 normally indicates a percentage but 1 typically indicates the level of certainty. An illustration of probability displays how probable it is that a specific event will take place.

Here,

a.

P(Bert gets a Jack and Ernie rolls a five) = P(Bert gets a Jack) * P(Ernie rolls a five)

= (4/52) * (1/12)

= 1/78

b.

P(Bert gets a heart and Ernie rolls a number less than six) = P(Bert gets a heart) * P(Ernie rolls a number less than six)

= (13/52) * (5/12)

= 65/624

c.

P(Bert gets a face card and Ernie rolls an even number) = P(Bert gets a face card) * P(Ernie rolls an even number)

= (12/52) * (6/12)

= 1/4

d.

P(Bert gets a red card and Ernie rolls a fifteen) = 0

e.

Ernie rolls a number that is not twelve, and Bert draws a card that is not a Jack:

A regular 52-card deck contains 48 cards that are not Jacks,

so the likelihood that Bert will draw one of those cards is 48/52, or 12/13.

On a 12-sided dice with 11 possible outcomes,

Ernie rolls a non-12th-number (1, 2, 3, etc.).

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

Answer:couch

Step-by-step explanation:

Step-by-step explanation:

a + b + c + d = 125

a + 4 = b - 4 = 4c = d/4

a + 8 = b

a = b - 8

16c = d

b = 4c + 4

4a + 16 = d

b - 8 + 4c + 4 + c + 16c = 125

4c + 4 - 8 + 4c + 4 + c + 16c = 125

25c = 125

c = 5

d = 16c = 80

4a + 16 = d = 80

4a = 64

a = 16

b = a + 8 = 16 + 8 = 24

so, the numbers are

16, 24, 5, 80

Answer:

sorry I can't answer

Step-by-step explanation:

pls thanks me

The maximum number of hours that he can hire the cleaning service would be 5.

An equation is an expression that shows the relationship between two or more numbers and variables.

Consider that the number of hours for which the total cost would be the same be x

The first inequality is;

$15x > $75

Now equate equations

$15x - $75 = 0

15x = 75

x = 5

Hence, the maximum number of hours that he can hire the cleaning service would be 5.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

Answer:

Unlikely, the probability is close to 0

Step-by-step explanation:

Given

\(Transmission = 15\%\)

Required

Determine the likelihood

The given probability, 0.15 is close to 0. This implies that the event is unlikely.

From the list of given options, option C answers the question

The equation of the line perpendicular to 7x+5y = 4 is y = 5/7(x) -15/7. The equation of the line parallel to 7x+5y = 4 is  y = -7/5(x) -53/5

Given that: the line is perpendicular/parallel to the line 7x+5y = 4 and it passes through (−4,-5)

The slope-intercept form of a straight line is:

y = mx + c

where m is the slope and c is the y-intercept

For perpendicular case:

When the two lines are perpendicular, the product of their slope is -1 i.e.

m₁ x m₂ = -1

where m₁ and m₂ represent the slope of the lines

Let the slope of the given line be m₁ and the slope of the unknown line be m₂

Line1(given):

7x+5y = 4  => y = (-7/5)x + 4/5

Thus,  m₁ = -7/5

m₁ x m₂ = -1

-7/5 x m₂ = -1

m₂= 5/7

Line 2(unknown) with the point (−4,-5):

y = mx + c

-5 = 5/7 (-4) + c

-5 = -20/7 + c

c = -15/7

Thus, the equation of the line is y = 5/7(x) -15/7

For parallel case:

When the two lines are parallel, they have equal slope i.e. m₁ = m₂

Line1(given):

7x+5y = 4  => y = (-7/5)x + 4/5

Thus,  m₁ = -7/5

m₂= -7/5

Line 2(unknown) with the point (−4,-5):

y = mx + c

-5 = -7/5(-4) + c

-5 = 28/5 + c

c = -53/5

Thus, equation of the line is y = -7/5(x) -53/5

Learn more about equation of a line on:

brainly.com/question/12626026

#SPJ1

From the given information, we can formulate the following expression:

Money saved = initial savings + earnings

We know that Josie initially had $5 and that she earns $0.5 per chore, then we can rewrite the above equation, like this:

Money saved = $5 + $0.5x

We can call "y" to the money saved:

y = 5 + 0.5x, in this case, x is the number of chores that she completes.

In this case, we have a linear equation, then its slope is the number that is multiplied by the independent variable "x" that is 0.5, in this scenario the slope represents the pay that she receives for each chore.

The y-intercept is the number that is being added to the 0.5x term, that is $5, it is the initial amount of money saved by Josie, then that's what the y-intercept represents in this scenario.

In order to graph a linear equation we just need to find two points of the graph, then we join them with the line, we can specify the points of the line by replacing some values of x and then calculating the corresponding value of y, like this:

• When x equals 0

y = 5 + 0.5*0

y = 5 + 0

y = 5

Then, one point of the line is located at (0,5)

• When x equals 18

y = 5 + 0.5*18

y = 5 + 9

y = 14

Then, another point of the line is located at (18,9)

Now we can graph the line as follows:

Answer:

2 times a number, plus 1, plus 2 times a number, is equal to 4x + 2.

The way they factored ↓

2 x 2 = 4

4x = 4 times a number or itself multiple times

4 + 2 is the same as a number times 1 equals 2.

If that's the case, x = 2.

Therefore , the solution of the given problem of fraction comes out to be the restaurant could make 48 cups of pudding from the 8 quarts they have.

An whole can be represented by any set of related sums or fractions. In standard English, a percentage is used to represent the quantity of a specific size. 8, 3/4. Also wholes are fractions. Numbers are expressed in mathematics using the ratio of it's own portion to the bottom. These fractions are all made up of basic numbers. Due to variances in actual percentage calculations, numerators, and numerators, a difficult fraction contains a fraction. A measurement that reflects a portion of the whole is a percentage.

Here,

There are different ways to approach this problem, but one possible method is to use unit conversions to find how many cups are in 8 quarts, and then divide by 1/6 of a quart per cup.

1 quart = 4 cups (by definition of quart)

Therefore, 8 quarts = 8 x 4 cups = 32 cups

1/6 of a quart = 1/6 x 4 cups = 2/3 cups

Therefore, the number of cups of pudding that could be made is:

32 cups / (2/3 cups) = 48 cups

Therefore, the restaurant could make 48 cups of pudding from the 8 quarts they have.

To know more about fraction visit:

https://brainly.com/question/10354322

#SPJ1

Answer:

\(92.05^{\circ}\)

Step-by-step explanation:

By the exterior angle theorem, the answer is \(m\angle Y+m\angle Z=92.05^{\circ}\).

Answer:

A

Step-by-step explanation:

exterior angle = sum of the other two angles

63.25 + 28.8

92.05°

Answer:

C No, since the P-value is greater than 0.01

Step-by-step explanation:

Since in the given situation we assume that all the conditions are ,met

And, at the a = 0.01 significance level we that that the proportion of the cancelled rides between the two cities would not sufficient as the P value is more than 0.001

Therefore the correct option is c.

Answer:

D

Step-by-step explanation:

The amount of time that will take him to swim the remaining distance will be [2,000 (1/5)] / (3/4). Then the correct option is D.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

Mateo has proactively swum Four-fifths of the 2,000 meters he is swimming today. On the off chance that he keeps swimming at a speed of Three-fourths of a meter each second.

3/4 = 2,000 (1 - 4/5) / T

T = [2,000 (1/5)] / (3/4)

The amount of time that will take him to swim the remaining distance will be [2,000 (1/5)] / (3/4). Then the correct option is D.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Answer:

Step-by-step explanation:

Answer:

6.8

Step-by-step explanation:

To round 6.752 to the nearest tenth consider the hundredths’ value of 6.752, which is 5 and equal or more than 5. Therefore, the tenths value of 6.752 increases by 1 to 8.

Answer:

x<2

Step-by-step explanation:

You're answer is wrong because the circle on the number line is not closed. If it was closed, it would be x ≤ 2 , but because it is open, it would be just be x<2

The volume of the pyramid with a square base which has an edge length of 2 cm and a measure of an angle BAC is 45° is equal to 4.8 cm³.

In mathematics 'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m³, cm³, in³ etc.

A pyramid's edge length is 2 cm.

The bottom is square.

Base area = (2)²

A is the center of the square base B is the apex of the right triangle BCA.

m∠BAC = 45°

m∠ABC = 45°

AC = BC

AC length = 3.6 cm

BC height = 3.6 cm

Volume (pyramid) = (1 ÷ 3) × base area × height

Volume (pyramid) = (1 ÷ 3) × (2)² × 3.6

Volume (pyramid) = 4.8 cm³

Therefore, the dimension of a pyramid with only a square base, a 2 cm edge length, and a BAC angle of 45° is 4.8 cm³.

Read more about the volume at:

https://brainly.com/question/28338582

Answer: 20/52 x 4/51 x 3/50 x 2/49 x 1/48 = .00000153908

Step-by-step explanation:

The probability of being dealt 5 cards from a standard 52 card deck, and the cards are 6,7,8,9, and 10 of the same suit is 0.00000153908

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the number of cards in deck be = 52 cards

Total number of cards selected = 5

The number of ways of choosing 5 cards = ⁵²C₅

The cards selected are of the same suit

So , there are 4 ways to select them , Hearts , Clubs , Spades and Diamonds = ⁴C₁

And there is only one way to select the cards 6 , 7 , 8 , 9 , 10 = 1

Now , we use combination to select the cards in a deck,

So,

The probability of being dealt 5 cards from a standard 52 card deck, and the cards are 6,7,8,9, and 10, all of the same suit is calculated by,

P ( x ) = 1 / ⁵²C₅ x ⁴C₁ x 1

P ( x ) = 1 /  52! / ( 47! x 5! )  x  4! / 3!  x  1

P ( x ) = 1 / ( 52 x 51 x 50 x 49 x 48 ) / ( 2 x 3 x 4 x 5 ) x 4

P ( x ) = 1 / ( 2598966 ) x 4

P ( x ) = 4 / 2598966

P ( x ) = 0.00000153908

Hence , The probability of being dealt 5 cards from a standard 52 card deck, and the cards are 6,7,8,9, and 10 of the same suit is 0.00000153908

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ2

The amount in year 6 is $1282.5.

What is simple interest?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Given,

rate of interest = 7%

time = 1 year

Amount on first year = $950

First we will calculate simple interest for 5 years, because amount is available for 1 year.

SI =PRT

SI = 950(7/100)1

SI = $332.5

Therefore, the amount after 6 years = 950+332.5

=$1282.5

To know more about simple interest, visit:

https://brainly.com/question/3942189

#SPJ1

Answer:

-3 \(\frac{4}{5}\) = -3 \(\frac{4}{5}\)

Step-by-step explanation:

Add up the numbers on either side of the equal sign.  If it helps, you can convert everything to improper fractions so that the math is easier.

\(\frac{17}{5} +(-\frac{36}{5} )= -\frac{19}{5}, or -3\frac{4}{5}\)

Step-by-step explanation:

70 ÷ 3 = 23  1/3