Question 3 (5 points) Convert the decimal 0.929292... to a fraction. O 92 99 O 92 999 O 92 100 92 1000

Answer:

He received $7

Step-by-step explanation:

$7 - Monday {first day}

$7 × 2 = $14 Tuesday {second day}

$14 × 2 = $28 Wednesday {third day}

$28 × 2 = $56 Thursday{ fourth day}

$56 × 2 = $112 friday {fifth day}

Answer:

−

10.5

Step-by-step explanation:

Answer:

\( \times = 18\)

Answer:

A. Anna's route is about 4 miles shorter than Alex's route, but he gets home about 20 minutes before she does because he

is traveling faster.

Step-by-step explanation:

Distance word problems are a common type of algebra word problems. They involve a scenario in which you need to figure out how fast, how far, or how long one or more objects have traveled. These are often called train problems because one of the most famous types of distance problems involves finding out when two trains heading toward each other cross paths

The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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Answer:

haha

Step-by-step explanation:

first off thats not 50 points

Answer:

Step-by-step explanation For the first on 5 and -4 all u do is divide y over x so it wpuld be -4/5 which would be -0.8

just keep doing the process of dividing y over x

the second 1 would be 0/3 which is 0

just keep doing this process

So,the value of the 30th percentile of the given data will be =P30=4

The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, assessed at x, is the likelihood that X will have a value less than or equal to x in probability theory and statistics.

Using the Cumulative Distribution Function to Calculate Probabilities

F(x) is a cumulative distribution function that calculates the likelihood that the random variable X is smaller than or equal to x:

To get the cumulative probability that X is less than or equal to 1, multiply P(X=0) by P(X = 0) by (P=1):

First, we will determine the value of the cumulative probability P(X<=x):

x         f(x)       P(X<=x)

1       0.02          0.02

2       0.01          0.03

3       0.2          0.23

4       0.17           0.4

5       0.39           0.79

6       0.2           0.99

7 0.01 1

30th percentile will be the x value,

below which less than or equal to 30% of the data falls.

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Answer:

f(x) = 4+10/x

Step-by-step explanation:

f(x)x-5 = 4x+5

add 5 to both sides

f(x)x = 4x+10

divide both sides by x

f(x) = 4+10/x

still not sure if its the right problem...

Answer: -7x^2 - 2x - 3

Step-by-step explanation:

(3x^2 + 5x – 6) – (4x^2 + 7x - 3)

first, solve the exponents

9x^2 + 5x - 6 - 16x^2 - 7x + 3

then combine like terms

-7x^2 - 2x - 3

The Volume of the solid formed by the curves y = 4x³ , y = 4x, x ≥ 0 ; about the x axis is 64π/21  .

In the question ,

it is given that ,

the given curves are y = 4x³ , y = 4x, x ≥ 0 ,

we have to find the volume about x axis ,

the region formed by the given curves about x axis is shown below in the figure .

So , the Volume of the required region is

V = \(\int\limits^1_0 {\pi [(4x)^{2} - (4x^{3} )^{2} }] \, dx\)

On simplification ,

we get ,

V = \(\pi \int\limits^1_0 { [16x^{2} - 16x^{6} }] \, dx\)

V = π[ x³/3 - x⁷/7 ]¹₀

= 16π( 1/3 - 1/7 - 0 - 0)

= 16π((7 - 3)/21)

= 64π/21

Therefore , the required Volume is 64π/21   .

The given question is incomplete , the complete question is

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4x³ , y = 4x, x ≥ 0 ; about the x-axis  .

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Answer:

a

The  estimate for the percentage of yellow peas lie within the confidence interval  23.66%  and  30.83 %

b

Since the expected value for the estimate of the yellow peas lies between  the confidence interval it means that the given estimate  of yellow peas does not contradict the expectation

Step-by-step explanation:

From the question we are told that

       The number of green peas is  \(g = 453\)

        The number of  yellow peas is  \(y = 163\)

       The sample size is  \(n = y + g = 435 + 163 = 598\)

 The  sample proportion of the yellow peas is  \(\r p_y = \frac{y}{n}\)

substituting values  

               \(\r p_y = \frac{163}{598}\)

               \(\r p_y = 0.2726\)

Given that the confidence level is  \(c = 95\)%

The level of significance is  \(\alpha = 100 - 95 = 5\)%

    The critical values at this  level of significance is  obtained from the table of critical values as

         \(t_{\alpha } = 1.960\)

Now the confidence interval is  mathematically evaluated as

       \(k = \r p _y \pm t_{\alpha } \sqrt{\frac{\r p (1 - \r p) }{n} }\)

substituting values  

      \(k =0.2726 \pm 1.96 \sqrt{\frac{0.2726 (1 - 0.2726) }{598} }\)

       \(k =0.2726 \pm 0.036\)

So the 95%  confidence interval is  

      k = (  0.2366, 0.3083)

This mean that the estimate of the yellow peas(25%) lies between

             23.66%  and  30.83 %

Given that the expected value for the estimate of the yellow peas lies between  the confidence interval it means that the given estimate  of yellow peas does not contradict the expectation

Hey there!

If d = 3 then substitute where “d” is at, now let’s work out the equation!

5(9 + 3) – 6

• DISTRIBUTE:

5(9) + 5(3)

5(9) = 45

5(3) = 15

• NEW EQUATION:

45 + 15 – 6

45 + 15 = 60

60 – 6 = 54

Answer: 54 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

SIDE NOTE:

You could use PEMDAS to solve this as well.

Here’s what it means ⬇️

• Parentheses

• Exponent

• Multiplication

• Division

• Addition

• Subtraction

answer:

- this is multi-step problem

16 X 1.375 = 22 songs (37.5% was added)

22 X .5 = 11 songs (50% was removed)

final answer: 11 songs.

Answer:

(1,6)

(2,7)

(4,9)

(8,13)

Step-by-step explanation:

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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Answer:

\(3^{-3}\) × \(3^{4}\)

Step-by-step explanation:

because if you minus the powers it equals to -7

others equal to positive 7

this uses index law

Answer:

A. 3^-3 / 3^4 = 3^-7

Step-by-step explanation:

3^3 / 3^-4 = 3^7

A. 3^-3 / 3^4 = 3^-7

B. 3^3 * 3^4 = 3^7

C. 3 * 3^6 = 3^7

D. 3^7 / 3^0 = 3^7

Answer: A. 3^-3 / 3^4 = 3^-7

Applying the tangent ratio, the value of x in the image, rounded to the nearest thousandth is: 15.824.

The tangent ratio, commonly referred to as "tangent," is a trigonometric function that relates the ratio of the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle. It is expressed as:

tan (∅) = opposite/adjacent

We have the following:

Reference angle (∅) = 53 degrees

Length of opposite side = 21

Length of adjacent side = x

Plug in the values:

tan 53 = 21/x

x * tan 53 = 21

x = 21 / tan 53

x = 15.824

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Answer:

2/4

Step-by-step explanation:

The equation is 3y / 3 = 2y / y. And the value of 'y' will be 2.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The equation is given as,

3y / 3 = 2y / y

Simplify the equation, then we have

3y / 3 = 2y / y

3y / 3 = 2

y = 2

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Answer:67

Step-by-step explanation:add them together

Answer:

The answer is w=3

Step-by-step explanation:

6w+2=20

6w=18

w=3

Answer:

W = 3

Step-by-step explanation:

6W + 2 = 20

6W + 2-2 = 20-2

6W = 18

6W/6 = 18/6

w = 3

Answer:

B and D are the correct answers.

Hi!

We are asked to find the ratio.

A ratio is a relationship/comparison between two or more numbers based on their numerical value.

We know that, for every 2 triangles there are 6 circles. We can set up our ratio to look like this:

\(\cfrac{2}{6}\)

---

(NOTE: there are many different ways to write ratios, including: "x:y", "x to y", or "x/y")

---

The question asks us to write it in simplest form. The fraction \(\cfrac{2}{6}\) is NOT in simplest form. It can be simplified to:

\(\cfrac{1}{3}\)

This is the ratio in simplest form.

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The minimum amount of plastic wrap needed is 445.08 square inches

To get minimum amount of plastic wrap needed to completely wrap 6 containers, we have to get total surface area of all 6 containers.

The surface area of one container is found using \(SA = 2\pi r^2 + 2\pi rh\)

The diameter of each container is 4.5 inches

The radius is half of diameter = 2.25 inches.

The height of each container is 3 inches.

Substituting these values.

SA = 2 x 3.14 x 2.25^2 + 2 x 3.14 x 2.25 x 3

SA = 74.1825

SA = 74.18 square inches

The total surface area of 6 containers is:

= 6 x 74.18

= 445.08 square inches.

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The value of the missing side lengths x and y are 5√2 and 5 respectively.

The figure in the image is a right triangle.

Angle θ = 45 degree

Hypotenuse = x

Opposite to angle θ = y

Adjacent to angle θ = 5

To solve for side x and side y, we use the trigonometric ratio.

Note that:

Cosine = adjacent / hypotenuse

tangent = opposite / adjacent

Solving for x:

Cosine = adjacent / hypotenuse

Plug in the values

cos( 45 ) = 5/x

x = 5 / cos( 45 )

x = 5√2

Solving for side y:

tangent = opposite / adjacent

Plug in the values

tan( 45 ) = y/5

y = tan( 45 ) × 5

y = 5

Therefore, the value of side length x is 5 units.

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Answer:

30 students.

Step-by-step explanation:

Since 20 girls make up 4/6 of the class, 1/6 of the class would be 5 students. 5*6=30, resulting in 30 students total.

The scale factor of the image after the dilation is k = 2

Given data ,

Polygon ABCD with vertices at A(1,-1) B(3,-1), C(3,-2) and D(1-2)

Now , the dilated polygon is represented as A'B'C'D'

where the coordinates are A’(2,-2), B(6,-2), C’(6,-4) and D’(2,-4).

Now , we can compare the corresponding side lengths of the two polygons to determine the scale factor:

Scale factor = (corresponding side length of dilated polygon) / (corresponding side length of original polygon)

So, A'/A = 2 / 1

A' = 2A

So, the scale factor is k = 2

Hence , the dilation is solved.

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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