There are 7 x 104 snakes at the zoo but 7 x 100 are accounted for. How many snakes are missing.

Answer:the answer is 12x+12=7x+56 got it right on plato

Step-by-step explanation:

12 (x+1) = 7 (x+8)

12x+ 12 = 7x+ 56

Part (a)

The notation \(A \cap B \cap C\) talks about overlapping or intersecting all three intervals. Your teacher wants to know what numbers are in all three intervals at the same time.

Refer to the diagram below. I've graphed regions A, B and C on the same number line. The vertical separation is to help tell the regions apart. Technically they should all be on the same number line. Notice how the regions overlap on the interval (0, 2] which translates over to \(0 < x \le 2\) telling us that the answer must be choice D.

Meaning we exclude 0 but keep 2, and everything in between the endpoints.

Choice C is not possible because x = -1 is not in region C. This means choice A is ruled out also. Choice B is eliminated because x = 3 is not in region A nor region B.

=============================================================

Part (b)

As mentioned earlier, the intervals all have in common the region between x = 0 and x = 2. We exclude 0 but keep 2.

=============================================================

Part (c)

The graph is shown below.

We have an open circle at 0 and a closed circle at 2. There is shading in between those endpoints.

When it comes to graphing the final answer, you'll ignore the separate regions A,B,C and only graph what is shown in purple.

Answer:

42in :)

Step-by-step explanation:

All you have to do is multiply 7x6 because u need to find the area.

but if u wanna find the perimeter u have to add all sides.

area is multiply 2 sides.

Answer:

0.8743 = 87.43% probability that more than one accident occurs per year

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\(\mu\) is the mean in the given interval.

Buchtal, a manufacturer of ceramic tiles, reports on average 3.1 job-related accidents per year.

This means that \(\mu = 3.1\)

What is the probability that more than one accident occurs per year?

This is:

\(P(X > 1) = 1 - P(X \leq 1)\)

In which

\(P(X \leq 1) = P(X = 0) + P(X = 1)\)

Then

\(P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-3.6}*(3.6)^{0}}{(0)!} = 0.0273\)

\(P(X = 1) = \frac{e^{-3.6}*(3.6)^{1}}{(1)!} = 0.0984\)

\(P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0273 + 0.0984 = 0.1257\)

\(P(X > 1) = 1 - P(X \leq 1) = 1 - 0.1257 = 0.8743\)

0.8743 = 87.43% probability that more than one accident occurs per year

Answer:

7

Step-by-step explanation:

77 divided by 11 is 7

Answer:

the first graph

y=-2/3x-1

Step-by-step explanation:

y-3=-2/3(x+6) .        

y-3=-2/3x+4

y=-2/3x-4+3

y=-2/3x-1

Equating the expressions, if Li Wei can read 30 pages in an hour and Colleen Henry 24 pages an hour, they will be on the same page in 6 hours.

Equivalent expressions are two or more algebraic expressions that have the same value when the variables are substituted with real numbers.

In this situation, we can determine the time that Li Wei and Colleen Henry can be on the same page by equating the expressions representing their reading rates.

The number of pages Li Wei can read in a week = 90

The number of pages Collen can read in a week = 126

Li Wei's reading rate per hour = 30 pages

Collen's reading rate per hour = 24 pages

Let the hours that Li Wei and Colleen can be on the same page= x

The total number of pages Li Wei can read = 90 + 30x

The total number of pages Colleen can read = 126 + 24x

For Li Wei and Colleen to be on the same, the two expressions are equated.

90 + 30x = 126 + 24x

6x =  36

x = 6

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Step-by-step explanation:

150 students overall.

an immediate assumption would be that these 150 students are the universal set of students taking these classes.

but we have to be careful and check. could it be that there are more than these 3 classes for the 150 students ? or that there is an option to be a student and not take any of the classes ?

the last question (c) suggests something like that.

so, these 150 students are the universal set for all these cases.

the sum of all students that took 2 classes contains also the ones that took all 3 classes. each of these students (that took all 3 classes) are then counted three times in these groups - one time for each pair of classes.

so, 26 + 28 + 32 - 22 - 22 = 42 is the number of students that took at least 2 classes (the subtraction of 2×22 eliminates two of the triple counting of the students that took all 3 classes).

since these 42 students contain also the ones with 3 courses, we need to subtract the 22 with 3 classes a third time again to get the number of students that had exactly 2 classes :

42 - 22 = 20.

so, we have 22 students attending all 3 class.

then 20 more attending exactly 2 classes.

in detail it means for these 20

26 - 22 = 4 had taken exactly math and physics.

28 - 22 = 6 had taken exactly math and chemistry.

32 - 22 = 10 had taken exactly chemistry and physics.

and that means for the individual classes

84 - 22 - 4 - 6 = 52 had taken math only.

64 - 22 - 6 - 10 = 26 had taken chemistry only.

48 - 22 - 4 - 10 = 12 had taken physics only.

in total

150 - 52 - 26 - 12 - 20 - 22 = 18

18 students of these 150 have not attended any of these 3 classes.

(a)

so,

52 + 26 + 12 = 90

90 students took one course only.

(b)

so, the number of students that had at most 2 classes is the number of students with exactly one class (90) and exactly 2 classes (20) AND the ones without any of these 3 classes : 90 + 20 + 18 = 128

128 students took at most 2 courses.

we could have gotten this also by saying all the students not taking all 3 classes : 150 - 22 = 128

(c)

the original assumption was that 150 students did at least one of the classes. but that was wrong.

we found that 18 students did not attend any of the classes.

that means that

150 - 18 = 132

132 students took at least one of the courses.

Answer:

Step-by-step explanation:

this is about the volume of each size of candle.  so the area of the circle , times the height of the candle is the amount of wax needed or it's volume.  

area of a circle is  = \(\pi\)\(r^{2}\)

then the big candle is \(\pi\)\(2^{2}\) = 12.56637

times 10 for it's height = 125.6637

so that's the big candles volume

then make 20 of those = 2513.27

a small candle is \(\pi\)\(1.5^{2}\) = 7.068583471

and it's 6 cm tall so times 6 = 42.41150082

Now divide the small candle volume into the 20 big ones to see how many small ones can be made

2513.27 /  42.41150082 = 59.259

so just a bit over 59 small candles can be made from 20 big candles

Answer:

16

Step-by-step explanation:

7 friends = 14 hotdogs + bobby (2 hotdogs) = 16 hotdogs

Answer:

16 hot dogs

Step-by-step explanation:

since he has 7 friends + himself, we're going to have a total of 8 persons

and since it's expected for each person to have two hot dogs,

total hotdogs Bobby need to cook= 8×2= 16 hot dogs

Answer:

1/3

Step-by-step explanation:

1/3

Step-by-step explanation:

1/6 ÷ 1/2

Copy dot flip

1/6 * 2/1

Multiply

2/6

Reduce

1/3

Solution

- We are asked to graph the following function:

- Using a Graphing calculator, we have:

Answer:

            4  to  1

Step-by-step explanation:

                                                Tablespoon of cocoa   to Tablespoon of sugar

                                                                          8             :                2

                                                                          \(\frac{8}{2}\)              :                \(\frac{2}{2}\)

                                                                          4             to                1

When recipe is doubled:                             ( 8 x 2)         to        (2 x 2)

                                                                         16             :              4

                                                                         \(\frac{16}{4}\)             :               \(\frac{4}{4}\)

                                                                          4           to              1

It can be observed that the ratio remains the same

Answer:

108 pi

Step-by-step explanation:

The formula for volume of a cone is (1/3) * π * r² * h

36 pi = (1/3) * π * r² * h

108 pi= π * r² * h

108 =  r² * h

Formula for volume of a cylinder: πr²h

108 pi

This implies that b is equal to 10 or greater than 10

The next process is to graph the expression

Answer:

i) Consecutive interior angles

ii) Supplementary angles

iii) The two oars are parallel by consecutive interior angles theorem

Step-by-step explanation:

i) m∠1  and m∠2 lie between two line and on the same side of the line passing through the two lines. Therefore, they are consecutive interior angles

ii)x = 10

m∠1 = 6x + 18

= 6(10) + 18

= 60 + 18

= 78

m∠2 = 9x + 12

= 9(10) + 12

= 90 + 12

= 102

m∠1 + m∠2 = 72 + 108 = 180

Since m∠1 and m∠2 add to 180, they are supplementary angles.

iii) The two oars are parallel

consecutive interior angle theorem:

If  a transversal cuts through two line and the consecutive interior angles are supplimentary, then the two lines are parallel

Car 12 of Train B is also 12 cars away from Car 19 on Train B.

Since each train boasts 31 cars, we can ascertain the total amount of vehicles between Car 19 and Car 12 on Train A:

31 - 19 = 12

Thus, Car 12 on Train A is a dozen units distant from Car 19 on Train A.

Nevertheless, Train B is furthermore moving in an inverring direction and has its exclusive set of automobiles between Car 19 and Car 12. We comprehend that the matching figure of cars must be amongst Car 19 and Car 12 on Train B as with Train A.

In essence, Car 12 of Train B is also 12 cars away from Car 19 on Train B.

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Answer:

The length of CD is 6

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

6 units.

Step-by-step explanation:

Got it correct on khan academy:

The assumption in answering the question is that no student scored 0

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

The bar chart

On the bar chart, we hae

Students that score more than 8 = 5

Students in the class = 33

The (b) is calculated by considering all students that score more than 0 from the histogram

This means that the assumption is that no student scored 0

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The area of the triangle will be 108 square inches. Thus, the correct option is D.

Given that:

Height, h = 18 inches

Base, b = 12 inches

Area refers to the measurement of the extent or size of a two-dimensional surface, expressed in square units.

Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,

A = (1/2) × h·b

The area of the triangle is given as,

A = 1/2 x 12 x 18

A = 12 x 9

A = 108 square inches

Thus, the correct option is D.

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The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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Answer:

If 3 letters are picked from the word 'PROBABILITY', the chances of it being P is 33.33%.

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Where the following triangle problem is given, note that:

A) α \(\approx\) 11.0

β  β \(\approx\) 9.4

B) 25.59 yrds

C) 0.38 yrds

A) To determine the near post angle and the far post angle when the striker is 24 yards from the near post

1/2 (24²) + 1/2 (28²) - 1/4(10²) = 655 (central line length formula)

Cos  α = (24² + 655 - 5²)/ (2 x 24 x √655)

= 0.98171498561

α = Cos ⁻¹ 0.98171498561

α = 10.973603643623608717848651724941

α \(\approx\) 11.0° (Cosine Law)

For   28 yards from the far post.

Cos   β   = (28² + 655 - 5²)/ (2 x 28 x √655)

= 0.98659913977

 β  = Cos ⁻¹ 0.98659913977

 β  = 9.3905311636838307510867912796592

 β  \(\approx\) 9.4°

B)  Distance between the goalie from the ball is

√655 = 25.592967784139454896443137575823

Distance  \(\approx\) 25.59 yrds

C)  5-10 * ((24)/(24+28)) = 0.38 yrds (Angular Bisector Theorem)

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Given :

Rosa is putting carpet in her room. She’s using the scale 1 inch = 3 ft .

In the drawing, the length is 5.5 inches and the width is 3.25 inches. If carpet costs 2.58 per square foot.

To Find :

How much will it cost to carpet the bedroom.

Solution :

Length of bedroom , l = 5.5 × 3 = 16.5 ft.

Width of bedroom , w = 3.25 × 3 = 9.75 ft.

SO, area of bed room is :

\(A=l\times w\\\\A=16.5\times 9.75\ ft^2\\\\A=160.875\ ft^2\)

Now, cost to carpet the bedroom is :

\(C=2.58\times A\\\\C=2.58\times 160.875\\\\C=415.0575\)

Hence, this is the required solution.

Answer:

1008 cm²

Step-by-step explanation:

The triangular prism comprises:

Formulae

Area of a triangle = 1/2 × base × height

Area of a rectangle = width × length

Total surface area:

= 2 triangles + rectangle 1 + rectangle 2 + rectangle 3

= 2(1/2 × (9 + 5) × 12) + (15 × 20) + (13 × 20) + ((5 + 9) × 20)

= 2(1/2 × 14 × 12) + (15 × 20) + (13 × 20) + (14 × 20)

= 168 + 300 + 260 + 280

= 1008 cm²

Area of two side triangles

Area of atop rectangles

Area of base rectangle

TSA

The distance it will take to drive from Toronto to buffalo (distance between Toronto and buffalo is 154km) is 1.75 hours.

We are given that;

distance = 154 km speed = 88 km/hr

Now,

we need to use the formula:

time = distance / speed

where time is in hours, distance is in kilometers, and speed is in kilometers per hour.

Plugging these values into the formula, we get:

time = 154 / 88 time ≈ 1.75

Therefore, by speed the answer will be 1.75 hours.

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

D. its a two dimensional object

Answer:

A. It is a polygon

C. It is a one-dimensional object

The shape is a polygon in two dimensions since a polygon must have at least three straight sides.