PLEASE HELP DUE TOMORROW:
Instructions: Fill in each matching colored box with same solution that makes each equation true. For example, if one red box was 3 then all the other red boxes must be 3. (JUST AN EXAMPLE)

The probability that he does not select a comedy is 12/23

If we assume that all the movies have the same probability of being randomly selected, then the probability of selecting a movie that is not a comedy is equal to the quotient between the number of movies that aren't comedies and the total number of movies.

There are:

3 action ones.

11 comiedies.

9 dramas

For a total of 23 movies, and 12 of them are not comedies, then:

P = 12/23

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The rate at which lemons are being used in cups of lemonade per lemon is 0.83 cups of lemonade per lemon

To find the rate at which lemons are being used in cups of lemonade per lemon, we need to divide the number of cups of lemonade produced by the number of lemons used.

In this case, 5 cups of lemonade are produced from 6 lemons, so the rate at which lemons are being used in cups of lemonade per lemon is:

5 cups of lemonade ÷ 6 lemons = 0.83 cups of lemonade per lemon (rounded to two decimal places)

the rate at which lemons are being used in cups of lemonade per lemon is 0.83 cups of lemonade per lemon

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We can write (15 + 45) as a product of 2 factors using GCF and the distributive property 15(1 + 3).

We are given the following expression-

15 + 45

Now, we can factorize 15 into prime factors as follows -

= 3 × 5 (15 × 1)

Similarly, we can factorize 45 into prime factors as follows -

= 3 × 3 × 5 (15 × 3)

Thus, the greatest common factor of 15 and 45 is 15, so we can

= 15 × 1 = 15 and 15 × 3 is 45

Hence, we can write (15 + 45) as 15(1 + 3).

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Step-by-step explanation:

please review the attachment

The solution to the equation is (a) x = ln(7/5) - 2

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

4 + 5e^(x + 2) = 11

Evaluate the like terms in the equation

So, we have the following representation

5e^(x + 2) = 7

Divide through the equation by 5

This gives

e^(x + 2) = 7/5

Take the natural logarithm of both sides

x + 2 = ln(7/5)

So, we have

x = ln(7/5) - 2

Hence, the solution is x = ln(7/5) - 2

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According to the question, it was revealed that 5% of all automobiles did not pass inspection. Of the next ten automobiles entering the inspection station

a. The probability that none will pass inspection is

P(x = 0) = [tex]^{10}C_{0}(0.05)^{0}(0.95)^{10}[/tex]

P(x = 0) = 0.5987

b. The probability that all will pass inspection is

P(x = 10) = [tex]^{10}C_{0}(0.05)^{10}(0.95)^{0}[/tex]

P(x = 10) = 0.5987

c. The probability that exactly two will not pass inspection is

P(x = 2) = [tex]^{10}C_{2}(0.05)^{2}(0.95)^{8}[/tex]

P(x = 2) = 0.0746

a. The probability that none will pass inspection is 0.001%.

b. The probability that all will pass inspection is 59.87%.

c. The probability that exactly two will not pass inspection is 0.27%.

d. The probability that more than three will not pass inspection is 0.0102.

e. The probability that fewer than two will not pass inspection is 6.48%.

In statistics, probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 means that the event is impossible, and 1 means that the event is certain.

In a particular county of our state, it was revealed that 5% of all automobiles did not pass inspection. This means that the probability of an automobile not passing inspection is 0.05, and the probability of an automobile passing inspection is 0.95.

To find the probability of none of the ten automobiles passing inspection, we need to multiply the probability of an automobile not passing inspection by itself ten times since the events are independent. Therefore, the probability of none of the ten automobiles passing inspection is 0.05¹⁰, which is approximately 0.00001 or 0.001%.

To find the probability of all ten automobiles passing inspection, we need to multiply the probability of an automobile passing inspection by itself ten times since the events are independent. Therefore, the probability of all ten automobiles passing inspection is 0.95¹⁰, which is approximately 0.5987 or 59.87%.

To find the probability of exactly two of the ten automobiles not passing inspection, we need to use the binomial distribution formula. The formula is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success, and (n choose k) is the binomial coefficient. Therefore, the probability of exactly two of the ten automobiles not passing inspection is P(X=2) = (10 choose 2) * 0.05² * 0.95⁸, which is approximately 0.0027 or 0.27%.

The complement rule states that the probability of an event occurring is equal to one minus the probability of the event not occurring. Therefore, the probability of more than three of the ten automobiles not passing inspection is 1 - P(X<=3), where P(X<=3) is the probability of three or fewer automobiles not passing inspection.

To find P(X<=3), we can use the binomial distribution formula with k=0,1,2, and 3. Therefore,

P(X<=3) = P(X=0) + P(X=1) + P(X=2) + P(X=3)

=> (10 choose 0) * 0.05⁰ * 0.95¹⁰ + (10 choose 1) * 0.05¹ * 0.95⁹ + (10 choose 2) * 0.05² * 0.95⁸ + (10 choose 3) * 0.05³ * 0.95⁷, which is approximately 0.9898 or 98.98%.

Therefore, the probability of more than three of the ten automobiles not passing inspection is 1 - 0.9898, which is approximately 0.0102.

To find the probability of fewer than two of the ten automobiles not passing inspection, we need to use the complement rule again. The probability of fewer than two automobiles not passing inspection is the same as the probability of one or zero automobiles not passing inspection.

To find the probability of more than two automobiles not passing inspection, we can use the complement rule again:

=> P(X>2) = 1 - P(X<=2) = 1 - (P(X=0) + P(X=1) + P(X=2)) = 1 - [((10 choose 0) * 0.05⁰ * 0.95¹⁰ + (10 choose 1) * 0.05¹ * 0.95⁹ + (10 choose 2) * 0.05² * 0.95⁸]

which is approximately 0.0648 or 6.48%.

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Answer: A

Step-by-step explanation:

: 4x+25, 3x+15. x=10

Answer: 1) 29 (look at the image for the solution)

Step-by-step explanation:

The fraction of income spent on cleaning is 71/50.

A fraction is represented by the ratio in the form -

{x} : {y} = {x}/{y}

In terms of numbers, we can write -

2 : 3 = 2/3

Given is that 2/5 of the income of a community of neighbors they are used in fuel, 1/8 in electricity, 1/12 in garbage collection, 1/4 in maintenance of the building and the rest is used for cleaning.

Assume the fraction to be {x}. Then, we can write -

2/5 + 1/8 + 1/12 + 1/4 + x = 1

0.4 + 0.125 + 0.083 + 0.25 + x = 1

x = 0.142

x = 142/100

x = 71/50

Therefore, the fraction of income spent on cleaning is 71/50.

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{Question in english -

2/5 of the income of a community of neighbors

they are used in fuel; 1/8 in electricity, 1/12

in garbage collection, 1/4 in maintenance of the

building and the rest is used for cleaning.

What fraction of the income is spent on cleaning?}

Answer:

0.238

Step-by-step explanation:

Answer:

solution: Mr. Schwartz will need to order more wheels after building 12 cars.

explanation:

Mr. Schwartz begins with total number of wheels = 85

he has to order more wheels once he left with less than 40 wheels

so min. no. of wheels he can use before ordering more wheels = 85-40 = 45

Mr. Schwartz uses 4 wheels to build 1 car

Mr. Schwartz uses 45 wheels to build 45÷4 = 11.25 cars

then, if he builds 12 cars then he needs 12×4 = 48 wheels

total supply of wheels he begins with = 85

wheels he used to build 12 cars = 48

so total number of wheels remaining are = 85-48 = 37

since 37 is less than 40 so after building 12 cars Mr. Schwartz need to order more wheels.

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Five packets of marshmallows cost £4. 80. Then, eight packets of marshmallows cost £7.68.

The problem states that five packets of marshmallows cost £4.80. We need to find out how much eight packets of marshmallows will cost.

To solve the problem, we can use the concept of proportionality. If we assume that the cost of marshmallows is directly proportional to the number of packets, then we can set up a proportion between the cost of five packets and the cost of eight packets.

The proportion can be written as follows:

5 packets / £4.80 = 8 packets / x

where x is the cost of eight packets.

To solve for x, we can cross-multiply the proportion and simplify:

5 packets x = £4.80 x 8 packets

5x = £38.40

x = £38.40 / 5

x = £7.68

Therefore, eight packets of marshmallows will cost £7.68.

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Answer: 1583.90

In June it’s 1583.90$

the average daily balance of Elliott's account for the month of June is $902.

calculate the average daily balance for Elliott's account in June. To calculate the average daily balance, we need to determine the balance at the end of each day in June. Starting with a balance of $1223 on June 1st, we can calculate the balance at the end of each day by adding or subtracting the amount of each transaction. The table below shows the daily balances: Day of June - Transaction type - Transaction amount -Balance

1 - Starting balance - 1223 - 1223

5 - Deposit - 615 - 1838

8 - Withdrawal - -632 - 1206

9 - Withdrawal - -120- 1086

10 - 30 - No transactions - 0 1086

The sum of the daily balances is: 01086 × 30 = 32580

The average daily balance is the sum of the daily balances divided by the number of days in June:

average daily balance = 32580 / 30 = 902

Therefore, the average daily balance of Elliott's account for the month of June is $902.

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Answer: 825 workers altogether

Step-by-step explanation:

well, if the ratio is 4.5 men to every woman, we just have to multiply 150 by 4.5, which means there will be 675 male workers and 150 female workers.

Answer: $4.75 for each pen

Step-by-step explanation:

$28.50/6= 4.75$

Answer: A and C

Step-by-step explanation:

- Geometric sequences are sequences where there is a constant number being multiplied or divided.

- In A, we are dividing by 2 each time. In C, we are multiplying by 3

each time.

- B is not multiplication or division. Neither is D.

(っ◔◡◔)っ ♥

Hope this helps.

MM4343

Answer:

Step-by-step explanation:

i have no idea sorry

Answer:

Ac = 0.833334.

Step-by-step explanation:

SINCE THE QUESTION IS PYTHAGORAS THEOREM.

THE FORMULA IS

[tex] tan = \frac{ |bc| }{ac} [/tex]

From the question tan = 18°

bc = 15

ac= ?

making ac = x

therefore

[tex] tan = \frac{ |bc| }{ |ac| } \\ tan 18 = \frac{15}{x} \\ tan18(x) = x \times \frac{15}{x} \\ tan18x = 15 \\ = \frac{tan18x}{18} = \frac{15}{18} \\ x = 0.8333334[/tex]

therefore x = 0.8333334.

The equation of line p is y = (3/4)x + 13/2.

The equation of line q is y = (3/5)x + 23/5.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Line p passes through points (-2, 5) and (3, 8).
This means,

Slope = (8 - 5) / (3 + 2) = 3/4

m = 3/4

And,

Consider (-2, 5) = (x, y)

5 = (3/4) x -2 + c

5 = -3/2 + c

c = 5 + 3/2

c = 13/2

So,

y = (3/4)x + 13/2

Line q passes through the points (-1, 4) and (4, 7).

Slope = (7 - 4) / (4 + 1) = 3/5

m = 3/5

And,

Consider (-1, 4) = (x, y)

4 = (3/5) x (-1) + c

4 = -3/5 + c

c = 4 + 3/5

c = 23/5

So,

y = (3/5)x + 23/5

Thus,

The equation of line p is y = (3/4)x + 13/2.

The equation of line q is y = (3/5)x + 23/5.

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The complete question:

Find the equation of the Line p passes that passes through points (-2, 5) and (3, 8) and Line q that passes through points (-1, 4) and (4, 7).

The thickness of the plate after one pass is 1 21/ 32 and after three pass is 1 7/32 in.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

An inappropriate fraction is created by adding the numerator to a mixed fraction after multiplying the denominator of the proper fraction by the whole number it is related to.

How change a fraction into a mixed fraction?

By denominator, divide the numerator.

Take the quotient as a whole number and use the remaining amount as the proper fraction's numerator while maintaining the original denominator.

Given that the thickness of the plate is 1 7/8 in.

Convert the mixed fraction into improper fraction:

1 7/8 = 15/8

The machine shaves of 7/32 in, thus after one pass we have:

15/8 - 7/32

Take the LCM:

60/32 - 7/32 = 53/32

Covert the fraction into mixed fraction:

53/32 = 1 21/ 32 in

After three passes through the machine the thickness of the plate is:

15/8 - 3(7/32)

60/32 - 21/32 = 39/32

Covert into mixed fraction:

39/32 = 1 7/32 in

Hence, the thickness of the plate after one pass is 1 21/ 32 and after three pass is 1 7/32 in.

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The correct question is:

The linear function modeled by the table is given as follows:

y = 2x - 5.

The slope and the intercept are given, respectively, by:

m = 2, b = -5.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

From the table, when x increases by 5, y increases by 10, hence the slope m is given as follows:

m = 10/5

m = 2.

Hence:

y = 2x + b.

When x = 3, y = 1, hence the intercept b is given as follows:

1 = 6 + b

b = -5.

Hence the function is:

y = 2x - 5.

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The quantity of gasoline that must be left in his tank if he wants to complete the trip without stopping is 8.5 gallons of gasoline.

Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

In this context, an equation that models the situation is given by:

y = mx + c

340 = 28x + 102

28x = 340 - 102

28x = 238

x = 238/28

x = 8.5 gallons of gasoline.

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Answer:

Step-by-step explanation:

You want to find the number of puzzles solved by each boy if they solved 35 puzzles together, and 1/3 of the number Andy solved is twice the number Dale solved.

Let 'a' and 'd' represent the numbers of puzzles solved by Andy and Dale, respectively. Then ...

  a + d = 35

  1/3a = 2d

Multiplying the second equation by 3, we get an expression for 'a' that can be used in the first equation:

  a = 6d

  6d +d = 35

  d = 35/7 = 5

  a = 6(5) = 30

Andy solved 30 puzzles; Dale solved 5.

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Step-by-step explanation:

Sure, I'd be happy to help!

5 feet 7 inches is equivalent to 170.18 cm.

If 102 students at least plays one sport and this is 40% of the students at the school, then there 255 students at the school

Let's assume that the total number of students in the school is "x".

40 percentage  of the students at the school play at least one sport. So, the number of students who play at least one sport is 0.4x.

We also know that the number of students who play at least one sport is 102. Therefore, we can write:

0.4x = 102

Move 0.4 to the right hand side of the equation

x = 102 / 0.4

Divide the numbers

x = 255

Therefore, there are 255 students at the school.

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The measure of x in the figure is 180 degrees

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

The circle and the intersecting chords

The value of x represented by ? is then calculated as

120 = 1/2(x + 60)

Cross multiply the equation

This gives

x + 60 = 240

Subtract 60 from both sides

x = 180

Hence, the measure of x is 180 degrees

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Answer:

angle w = 50; angle y = 130

Step-by-step explanation:

because of supp. angles, y + w = 180

12x-2+4x+6=180

16x+4=180

16x=176

x=11

to calculate, sub 11 in

w = 4(11) + 6 = 50

y = 12(11) - 2 = 130

The average value of the function f(x) = 3x2 + 4x on the interval [-1, 2] is about 4.67.

To find the average value fave of the function f(x) = 3x2 + 4x on the interval [-1, 2], solve the definite integral of f(x) over the interval and then divide by the interval length.

The definite integral of f(x) over the interval [-1, 2] can be calculated as follows:

[tex]∫[-1,2] (3x^2 + 4x) dx = [x^3 + 2x^2] between x = -1 and x = 2 = (23 + 2(22)) - ((-1)^3 + 2(-1)^2) \s= 14[/tex]

The interval length is 2 - (-1) = 3.

As a result, the average value fave of f(x) on the interval [-1, 2] is as follows:

fave =[tex](1/3) * ∫[-1,2] (3x^2 + 4x) dx \s= (1/3) * 14 \s[/tex]= 4.67 (rounded to two decimal places) (rounded to two decimal places)

As a result, the average value of the function f(x) = 3x2 + 4x on the interval [-1, 2] is about 4.67

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.

Answer:

Radius is 3 units

Center is (0,5)

Step-by-step explanation:

Compared to the standard form of the equation of a circle, [tex](x-h)^2+(y-k)^2=r^2[/tex], we have a center of [tex](h,k)\rightarrow(0,5)[/tex], and a radius of [tex]r=3[/tex].

Answer:

Rectangle ABCD is graphed in the

coordinate plane. The following are the

vertices of the rectangle: A(5,5), B(7,5),

C(7, -1), and D(5, -1).

Given these coordinates, what is the length

of side BC of this rectangle?

Step-by-step explanation:

Answer:

x=5, y=1

Step-by-step explanation:

2x-y=9

2(5)=10

10-1=9

4x+y=21

4(5)=20

20+1=21

Hope this helps! Please give brainliest!