What is 0.08 is 10 times as much as

Answer: 0.07

Step-by-step explanation:

To find the relative frequency of people in the sample whose place of residence is suburban and whose highest degree is a two-year degree, we need to calculate the ratio of the number of people with those characteristics to the total sample size.

Looking at the contingency table, we can see that the number of people in the suburban category with a two-year degree is 21.

The total sample size is given as 311.

Therefore, the relative frequency can be calculated as:

Relative frequency = (Number of people in suburban category with two-year degree) / (Total sample size)

= 21 / 311

≈ 0.0676

Rounded to two decimal places, the relative frequency is approximately 0.07.

Answer:

width : 21ft

length : 63ft

Step-by-step explanation:

(42ft + w) + (42ft + w) + w + w = 168ft

42ft + w + 42ft + w + w + w = 168ft

w + w + w + w = 168ft - 42ft - 42ft

4w = 84ft

w = 84ft ÷ 4

w = 21ft

so,

width : 21ft

length : 21ft + 42ft = 63ft

Answer:

divide the big numbers the the small number but when you find the answer to 312/372 the multiply the answer to 12

Step-by-step explanation:

Answer:

For 312 hats- 3744 feet of fabric total. For 372 hats- 4464 feet of fabric

Step-by-step explanation:

You divide the number of hats you want and multiply by 12 because you need 12 feet of fabric for each hat.

Answer: The angle is in the second quandrant

Step-by-step explanation:

If sin of theta is greater than 0, the angle theta has to be in either the first or second quandrant. If tangent of theta is less than 0, it cannot be in the first or third quandrant. Therefore, we know the angle is in the second quandrant.

Introducing numeracy to young children can be done through various types of equipment and resources that engage their senses and make learning math concepts more interactive and enjoyable.

Here are some different types of equipment commonly used to introduce numeracy to young children:

Thus, by incorporating a variety of equipment and resources, educators and parents can create a rich learning environment that supports children's numeracy development and fosters a positive attitude towards math.

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The dimensions of the rectangular garden to maximize the area is length = width = 75 meters.

Let l be the length and w be the width of the rectangular garden.

We need to find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.

The perimeter of the  rectangular garden = 300 meters

We know that the perimeter of the rectangle =2(length + width)

300 = 2(l + w)

l + w = 150               .......(1)

Now, the maximum area of a  rectangular garden is when Length  = width

So, for equation 1

l + l = 150

l = 75 meters

So, w = 75 meters

And the area of the rectangular garden = length * width

                                                               = 75 * 75

                                                               = 5625 m²

So the maximum area of the  rectangular garden is 5625 m²

Therefore, the dimensions of the garden to maximize the area is length = width = 75 meters and maximum area is  5625 m²

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Answer:

  $28

Step-by-step explanation:

Each round trip will be double the price of a one-way trip, so will be ...

  2 × $3.50 = $7.00

Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...

  4 × $7.00 = $28.00

please is number b is pi

The expression represents a quadratic polynomial.

The constant term is 1.

The leading term is -x².

The coefficient of the leading term is -1.

What is a polynomial?

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

Given expression is -x² + 1

The variable of the expression is x.

The constant term is 1.

Leading term: The highest power of the variable that occurs in the polynomial is its degree. The term with the highest degree—i.e., the term with the highest power of the variable—is the leading term. The leading coefficient is the leading term's coefficient.

The leading term of the expression is  -x² .

The coefficient of  -x²  is -1.

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The correct option is the Measurement and Comparison strand.

When families play "fill and dump" activities and explore large and small objects with children, they are likely extending learning in the Measurement and Comparison strand of the mathematics curriculum. This strand involves understanding and using concepts of size, weight, capacity, and length to compare, measure, and describe objects and events. Activities like filling and dumping containers of different sizes and comparing the quantities of objects can help children develop their understanding of these concepts and their ability to compare and measure objects.

The Number and Quantity strand involves understanding and using numbers and number concepts to count, compare, and describe quantities. The Geometry and Spatial Thinking strand involves understanding and using geometric concepts and spatial reasoning to describe, analyze, and compare shapes and spatial relationships. The Mathematical Reasoning strand involves using logical thinking and problem-solving skills to make sense of mathematical ideas and solve problems. All of these strands are important for children's overall mathematical development and can be supported through a variety of activities and experiences.

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

Answer:

B.

Step-by-step explanation:

The dance studio can have between 20 and 60 people. The holes are closed be 20 and 60 are included

\(2 \dfrac 23 = 2 + \dfrac 23 = \dfrac 83\)

Multiply the whole number by the denominator. Add the numerator. That total becomes the new numerator:

2 2/3 = 2 x 3 = 6 + 2 = 8

Improper fraction = 8/3

75% of the students are shorter than 68 inches.

Of the 8 students, only 2 are 68 inches tall or more, meaning theres 1/4 or 25% of students who are taller than 68 inches. That being said, that means there are 3/4 or 75% of students shorter than 68 inches. Thus meaning 75% is your answer.

I hope this helps!

The value of x in chords is 25.857 and this is a isosceles triangle.

In geometry, a chord is a line segment that connects two points on the circumference of a circle. A chord is the longest distance between two points on a circle, and it passes through the center of the circle. The endpoints of a chord are referred to as its "endpoints." A chord that passes through the center of a circle is called the "diameter" of the circle. The length of a chord can be calculated using the Pythagorean theorem, given the radius and the distance between the center and the chord. Chords are used in various geometric calculations involving circles, such as finding the area of a sector or segment of a circle.

The sum of the angles of a triangle is 180 degrees. In a circle, the angle subtended by an arc at the center of the circle is twice the angle subtended by the same arc at any point on the circumference. Using these facts, we can set up the following equation to find x:

(1/2)(14x - 7) + (1/2)(12x + 4) + (1/2)(4x) = 180

Simplifying and solving for x, we get:

7x - 1 = 180

7x = 181

x = 25.857

Therefore, x is approximately equal to 25.857.

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Answer:

  3.9

Step-by-step explanation:

Your calculator will tell you ...

  (2.28×10^8)/(5.79×10^7) ≈ 3.9

Mars is about 3.9 times as far from the sun as Mercury.

Answer/Step-by-step explanation:

7. The graph is a proportional relationship because the line passes through the point of origin, (0, 0). To find the equation the proportional relationship the graph represents, we need to find the unit rate of red paint (y) to white paint (x). The unit rate will represent the constant of proportionality, k. Then substitute the value of k in \( y = kx \).

Unit rate or k = y/x

Using the point, (4, 1),

k = \( \frac{1}{4} \)

Substitute k = ¼ in \( y = kx \)

✅The equation would be:

\( y = \frac{1}{4}x \)

8. The graph Franco made is incorrect.

The equation, \( y = -x \), shows a negative constant of proportionality of -1. Therefore, the slope of the line descend downwards, from the left to the right. So, the graph Franco made to represent the equation, \( y = -x \) is not correct.

9. a. Proportional relationship can be represented as \( y = kx \). To derive an equation that represents the graph, find k, the constant of proportionality between variable y and x.

Using the point, (2, 24), therefore:

k = y/x = 24/2 = 12.

Substitute k = 12 in \( y = kx \)

✅The equation would be:

\( y = 12x \)

b. We know an equation is represents a proportional relationship, when it is tales the form, \( y = kx \). Where k is the constant of proportionality. Thus, for if you substitute the pair of values given (x, y) into the equation, you would get the same value of k for any pair of value you substitute in the given set of values.

Also, we know a graph represents a proportional relationship when a straight line passes through the point of origin, (0, 0), and has a constant of proportionality or unit rate all through.

Answer:

6 – x ft

Step-by-step explanation:

If a 6-foot board is cut in two pieces, both lengths could be anything that add up to 6 feet since the problem did not specify where the board was cut.

So if one piece is x feet long, the other must be 6 - x feet long because:

x + (6 – x) = 6

Answer:

Step-by-step explanation try b:

None of the options are correct because no table shows the 1 gallon per minute.

Given that,
To determine which of the table shows the rate of 1 gallon per minute.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here.
Table 1,
Rate = number of gallon / minute = 1 / 5 / [10/5] = 1/10 gallon per minute
Similarly.
Table 2
Rate = 2 / 3  gallon per minute
Table 3
Rate = 1 / 2  gallon per minute
Table 4
Rate = 3 / 8  gallon per minute

Thus. none of the options is correct because no table shows the 1 gallon per minute.

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it should be 7 hours because the cars distance is 660

Answer:

what population census

...with 6 dice

15,625 / 46,656

33.49 %

31,031 / 46,656

66.51 %

Answer:

y=3x-19

Step-by-step explanation:

Answer:

One bowl has 1 yellow, 1 red, and 2 green apples. The other bowl has 5 each of boysenberries, strawberries, blueberries, and blackberries.

Step-by-step explanation: