bus left Suva at 130 am and arrived in Tawa at 1100m - Covered a distance of 3m. Find the speed of the bus working ​

Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:

P = Proportion of red candies in the large bag

R = Red candies in the small bag

R × (33/9) = P

12 × (33/9) = P

P = 40 red candies in the large bag

Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

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The trigonometric equation from the given graph will be expressed as; y = 4 sin 2x

From the trigonometric general form of y = a sin bx, we can say that;

a is amplitude

period = 2π/b

Now, from the graph it is clear that the amplitude is 4 because that is the highest and also lowest point of the curve. Thus, a = 4

Now, the period of the graph will be 2 because from definition of period of a trigonometric graph function we can see that period = 2.

Thus, our trigonometric equation from the given graph will be expressed as; y = 4 sin 2x

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we conclude that the graphed equation is:

y = 4*cos(pi*x)

First, we can see that the graphed function is even, so we know that it wiill be a cosine.

We also can see that the maximum is 4 and the minimum is -4, so the amplitude is 4.

Then we have something like:

y = 4*cos(b*x)

To find the value of b, we can use the fact that the zeros of the function are at x = ±1/2

Then:

b*1/2 = pi/2

b = pi

Finally, we conclude that the graphed equation is:

y = 4*cos(pi*x)

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66 students can be expected to prefer the zoo in 220 members of the 7th grade class.

Different techniques are used to calculate the averages of data sets for mean, median, mode, and range. The mean represents the sum of all the numbers. In an ordered list, the middle number is the median. The most frequent number is the mode. The highest number less the smallest number is the range.

The provided table contains the percentage of 7th graders who favor the zoo. Twelve of the 40 7th graders who were sampled prefer the zoo. Out of the 220 pupils in the 7th grade, we can use this proportion to determine how many love the zoo:

12/40 or 0.3 of 7th students say they prefer going to the zoo.

The predicted proportion of seventh graders who prefer the zoo is 0.3 x 220, or 66.

So, 66 is the correct response.

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Complete question is :

--------------------------------------------------------------------

Grade      Zoo   Museum   Sports Complex

--------------------------------------------------------------------

7 Grade      12        18             10

8 Grade      14        19               7

--------------------------------------------------------------------

A random sample of 40 students from each grade level was surveyed regarding their preference for a class field trip.

If there are 220 members of the 7th grade class, then how many students can be expected to prefer the zoo?

Answer:

127 degrees = x

Step-by-step explanation:

A six sided polygon has interior angles that sum to

(n-2)(180) =  (6-2)(180 = 720

so all of the angles in the question add to 720

 98 + 133 + x + x + 155 + 80 = 720

  solve for x = 127 degrees

Answer:

x = 127

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 6 , then

sum = 180° × 4 = 720°

sum the interior angles and equate to 720

x + x + 155 + 80 + 98 + 133 = 720 , that is

2x + 466 = 720 ( subtract 466 from both sides )

2x = 254 ( divide both sides by 2 )

x = 127

Option(A) is the correct answer is A. 1,335 birds.

To calculate the number of birds that will be left after 20 years, we need to consider the annual decline rate of 2%.

We can use the formula for exponential decay:

N = N₀ * (1 - r/100)^t

Where:

N is the final number of birds after t years

N₀ is the initial number of birds (2,000 in this case)

r is the annual decline rate (2% or 0.02)

t is the number of years (20 in this case)

Plugging in the values, we get:

N = 2,000 * (1 - 0.02)^20

N = 2,000 * (0.98)^20

N ≈ 2,000 * 0.672749

N ≈ 1,345.498

Rounded to the nearest whole number, the number of birds that will be left after 20 years is 1,345.

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Answer:

8.714285    repeated

Step-by-step explanation:

Answer:

$5

Step-by-step explanation:

The real estate agent can buy 8 ads for a total of $56. Next you do $61 minus $56 which equals $5. If this answer helped you please consider giving it brainliest.

- •Trix•

( Yes I know my -•Trix• is not my user but its what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)

Answer:

11(74)+20(32)=1454

1454÷31=46.9

The answer is 140 because 14 x 10 is 140

Answer:

The table

Step-by-step explanation:

The puppy weighs 0.8 pounds at birth not 0

Answer:

36° , 54° , 90°

Step-by-step explanation:

since the triangle is right then one angle is 90°

the ratio of the smaller angles = 3 : 2 = 3x : 2x ( x is a multiplier )

the sum of the 3 angles in the triangle is 180° , that is

3x + 2x + 90 = 180

5x + 90 = 180 ( subtract 90 from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

Then

3x = 3 × 18 = 54°

2x = 2 × 18 = 36°

the 3 angles measure 36° , 54° , 90°

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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Can you please delete this. I have answered it wrong. Thanks

Answer:

-(a-b) (3-4x). hope this helps

Answer:

−60x + 135

Step-by-step explanation:

Answer:

150 - (0.4×150+15)

= 150-75

= 75

Answer:

B. 3(6-x)=15

Step-by-step explanation:

3 times means to multiply 3

difference means to subtract, so the difference between 6 and a number would be 6-x (x representing the unknown number)

Hope this helps!

Answer:

B.

Step-by-step explanation:

Answer:

Volume = 14.5 cm³

Step-by-step explanation:

Volume of cone = \(\pi r^2\frac{h}{3}\)

Where r = 2 and h = 3.46

Volume = \((3.14)(2)^2\frac{3.46}{3}\)

Volume = (3.14)(4)(1.15)

Volume = 14.5 cm³

Answer:

Empirical Rule

Step-by-step explanation:

The Empirical Rule is also known as the Sigma rule or the 68-95-99.7% rule. The rule state that for a given data set, 68% of all data values will fall within the first standard deviation from the mean. The rule also states that 95% of all data values would fall within two standard deviations, while almost all the data which amounts to about 99.7% will fall within three standard deviations.

The empirical rule is used in forecasting based on the given datasets because it is a certainty that after obtaining the standard deviation, data values can be assigned to the categories they fall into, under the Empirical rule.

Answer:

33.33 ft²

Step-by-step explanation:

→ Write down the formula for the area of a parallelogram

base × height

→ Substitute in numbers

\(8\frac{1}{3} *4\)

→ Simplify

33.33 ft²

Answer: A=33 1/3 ft²

Step-by-step explanation:

Answer: Synthetic division and synthetic substitution are both methods used to divide polynomials, but they are used for different types of polynomials and have different steps and procedures.

Synthetic division is a method used to divide a polynomial by a linear binomial of the form (x-c), where c is a constant. It is used to find the quotient and remainder of the division, and it involves a process of simplifying the polynomial using a specific set of steps.

Synthetic substitution, on the other hand, is a method used to divide a polynomial by a polynomial of higher degree. It is used to find the quotient and remainder of the division, and it involves replacing a variable in the polynomial with an expression and then simplifying.

In summary, Synthetic Division is used when dividing a polynomial by a linear binomial and Synthetic Substitution is used when dividing a polynomial by a polynomial of higher degree.

Step-by-step explanation:

Synthetic division is used for polynomial division by a linear factor, resulting in a quotient polynomial. Synthetic substitution, however, is used to find the value of a polynomial function at a given x-coordinate.

Synthetic division and synthetic substitution are both methods used in algebra to evaluate polynomials. However, they differ in their specific applications and the outcomes they provide.

Synthetic division is a method used to divide a polynomial by a linear factor of the form (x - c). It allows for quick and efficient division without the need for long division. The process involves setting up a synthetic division table and performing a series of calculations based on the coefficients of the polynomial. The result is a simplified quotient polynomial.

On the other hand, synthetic substitution is a technique used to evaluate a polynomial function at a specific value of x. It involves substituting the given value into the polynomial and using synthetic division to perform the calculations. The result obtained is the value of the polynomial at that particular x-coordinate.

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Answer:

Total Number of times Spun = 1200

Key sentence: "Pr(Red) is same as Pr(Yellow).

Pr(Green)= 0.2

0.2 = x/1200

x= 0.2 x 1200

x = 240.

It landed on green 240 times

Pr(Brown) =0.54

0.54 = y/1200

y= 1200 x 0.54

y= 648.

Now

To get the Number of times it landed on Red and Yellow

You simply subtract that of Green and Brown from 1200 and divide this result by 2(Since Red and Yellow are have equal occurrence).

1200 – (648 + 240)

= 312.

312/2 = 156.

So It landed on Red and Yellow 156 times each.

Step-by-step explanation:

Red ----- 156times

Green -----240times

Brown ----- 648times

Yellow -----156times

Answer:

The large sample size 'n' = 384.16

Step-by-step explanation:

Explanation:-

Given Margin of error = 4

Given Population standard deviation(σ)  = 40

The margin of error is determined by

\(M.E = Z_{0.05} \frac{S.D}{\sqrt{n} }\)

\(4 = 1.96 \frac{40}{\sqrt{n} }\)

Cross multiplication , we get

\(\sqrt{n} = \frac{40 X 1.96}{4}\)

√ n = 19.6

squaring on both sides , we get

n = 384.16

Final answer:-

The large sample size 'n' = 384.16

Answer:

Pens are sold in packages of 5 and also in packages of 6.

Step-by-step explanation:

To solve the question, we will apply the principle

If the sides are not equal, the sum of the two shortest sides must be greater than the longest sides

For option A

3 cm, 3cm, 3cm

All sides are equal so it satisfies the condition for a triangle

For option B

The sum of the two shorter sides (4cm and 8cm) = 12cm

while the longest side is 12cm

Since the sum of 12cm is not more than the longest side, then

the sides are NOT suitable for a triangle

For option C

5cm + 9cm = 14 cm

The longest side = 14cm

Since the sum 14cm is not greater than the longest side, then

the sides are NOT suitable for a triangle

For option D

Sum of the shorter sides = 6cm + 7cm = 13cm

longest side = 8cm

Since the sum of 13cm is greater than 8cm, then it is suitable for a triangle

For option E

Sum of shorter sides = 7cm + 7cm = 14cm

longer side = 10cm

Since the sum of 14cm is greater than 10cm, then it is suitable for a triangle

Answer:

Step-by-step explanation:

45

Answer:

Step-by-step explanation:

5

Answer:

a. The sampling distribution of the sample mean will have a smaller standard deviation than the population.

b. The sampling distribution of the sample mean will have a different standard deviation than the population.

c. The shape of the sampling distribution of the sample mean will be skewed right.

Step-by-step explanation:

Answer:

x=45

Step-by-step explanation:

i hope its right good luck :)

i think im wrong

Answer:

2. C. 50.3 ft²

3. A. 75.4 ft²

Step-by-step explanation:

The lateral surface area of a cylinder is the area of the curved surface of the cylinder. It is calculated by multiplying the circumference of the base by the height of the cylinder. The formula for the lateral surface area of a cylinder is:

Lateral Surface Area = 2πrh

Where:

The total surface area of a cylinder is the area of the lateral surface plus the area of the two circular bases. The formula for the total surface area of a cylinder is:

Total Surface Area = 2πrh + 2πr^2

Where:

2.

r=2 ft

h=4 ft

Lateral Surface Area = 2πrh=2*22/7*2*4=50.3 ft²

3.

Total Surface Area = 2πrh + 2πr^2=2*22/7*2*4+2*22/7*2

=50.3+25.1=75.4 ft²