Determine the level of measurement of the variable.A students favorite sport.A) NominalB) OrdinalC) RatioD) Interval

Answer:

Length = 200cm by 150cm

Step by step explanation:

Bringing it to actual measurements from the scale of 1 to 50, 3cm becomes 3 x 50 = 150 and 4cm becomes 4 x 50 = 200

Answer:

9%

Step-by-step explanation:

To find the increased amount, subtract this month sales from the last month sales.      

Increased amount = 196200 - 180000

                              = £ 16,200

Now, find the increased percentage using the formula,        

\(\boxed{\bf Increased \ percentage = \dfrac{Increased \ amount}{Original \ amount}*100}\\\\\)

                                        \(= \dfrac{16200}{180000}*100\\\\= 9\%\)

Answer:

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

took the test

Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y = \(\frac{1}{2}\) x - 5 ← equation of parallel line

Answer:

the answer to (-7/10)(2/5) is -7/25.

or if you need decimal form it is -0.28

Step-by-step explanation:

The number of bacteria after 1.5 hours is 320,000.

Given,

The doubling period of a bacteria culture is 15 minutes.

Initially, the culture has 5000 bacteria.

We need to determine the number of bacteria there will be after 1.5 hours.

We have,

The number of bacteria gets double every 15 minutes.

Number of bacteria at initial stage = 5000

In 1.5 hours we have 90 minutes.

1.5 hours = 1 hour and 30 minutes

1 hour = 60 minutes

1.5 hours = 90 minutes.

In 90 minutes we have 6 times 15 minutes.

First 15 minutes,

The number of bacteria would be = 2 x 5000 = 10,000

Now next 15 minutes,

10,000 x 2 = 20,000

Next 15 minutes,

20,000 x 2 = 40,000

Next 15 minutes,

40,000 x 2 = 80,000

Next 15 minutes,

80,000 x 2 = 160,000

Next 15 minutes,

160,000 x 2 = 320,000

We can also write it as 5000 x 2^6 = 320,000

Thus the number of bacteria after 1.5 hours is 320,000.

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Answer:

14%

Step-by-step explanation:

Find the quotient of 29 and 200.

\(\frac{28}{200}=0.14\)

Therefore, 28 is 14% of 200.

The number 28 is 14% of the number 200.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the number is 200 and 28 is what percent of 200 will be calculated as:-

The percentage will be calculated as:-

200 x (X)% = 28

X% = ( 28 x 100) / 200

X% = 14%

Therefore, the number 28 is 14% of the number 200.

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Answer:

18.85

Step-by-step explanation:

2(3.14)(3)

Let us first convert the equation given to the slope-intercept form:

adding 4x to both sides gives

dividing both sides by 7 gives

Now, we need to look at the choices and see which of the answer choices has a slope of 4/7.

Looking at the choices we see that choice C has the matching slope; therefore, it is the correct answer choice.

Answer:

I'm very sure this is Simple Random Sampling.

9514 1404 393

Answer:

  m = 35

  n = 110

Step-by-step explanation:

Adjacent angles in a parallelogram are supplementary.

  n° = 180° -70°

  n = 110

Opposite angles in a parallelogram are congruent.

  2m° = 70°

  m = 35 . . . . . . divide by 2°

(A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).

What is the explicit formula?

The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence. In general, the explicit formula is the nth term of arithmetic, geometric, or harmonic sequence.

A. The data provided is modeling a geometric sequence.

This is because the common ratio between consecutive terms is a constant value, specifically in this case is the ratio between consecutive terms is multiplied by 2.

B. To find the time Aurora will complete station 5 using a recursive formula,

we can use the formula T(n) = T(n-1) * r,

where T(n) is the time at the nth station, T(n-1) is the time at the (n-1)th station, and r is the common ratio.

In this case T(5) = T(4) * 2

and T(4) = 24 (from the data provided)

Therefore, T(5) = 24 * 2 = 48 minutes

C. To find the time Aurora will complete the 9th station using an explicit formula,

we can use the formula T(n) = T(1) * r^(n-1)

In this case, T(9) = T(1) * 2^(9-1)

and T(1) = 3 (from the data provided)

Therefore, T(9) = 3 * 2^8 = 3 * 256 = 768 minutes

The explicit formula assumes that the first term of the sequence is T(1) and the common ratio of the consecutive term is r.

Hence, (A) The data provided is modeling a geometric sequence, (B) the recursive formula is T(5) = T(4) * 2., and (C) the explicit formula T(n) = T(1) * r^(n-1).

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3172.97 joules is the value of x when the Richter scale rating is 3.2

The equation that relates earthquake magnitude (M) and energy (E) is:

M = 2/3 × log(E) - 1.8

We have to find the value of X when the richer scale rating is 3.1

If an earthquake with a rating of 3.2 is not usually felt, then we can assume that x corresponds to the energy released by an earthquake that is just barely felt.

According to the United States Geological Survey, an earthquake with a magnitude of 2.5 corresponds to an energy release of about 1.3 × 10⁸ joules.

Using this as a reference point, we can set up the following equation:

3.2 = 2/3 × log(x) - 1.8

Solving for x, we get:

2.3 = 2/3 × log(x)

log(x) = 3.45

x = 3172.97

Therefore, the value of x when the Richter scale rating is 3.2 is approximately 3172.97 joules.

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Answer:

\( (\frac{3}{13}, -3) \)

Step-by-step explanation:

Apply the formula following formula to find the coordinate pair of the point that is 3/10 of the way from A(-3, -6) to B(11, 7):

\( x = \frac{mx_2 + nx_1}{m + n} \)

\( y = \frac{my_2 + ny_1}{m + n} \)

Where,

\( A(-3, -6) = (x_1, y_1) \)

\( B(11, 7) = (x_2, y_2) \)

\( m = 3, n = 10 \)

Finding the x coordinate:

\( x = \frac{mx_2 + nx_1}{m + n} \)

\( x = \frac{3(11) + 10(-3)}{3 + 10} \)

\( x = \frac{33 - 30}{13} \)

\( x = \frac{3}{13} \)

\( y = \frac{my_2 + ny_1}{m + n} \)

\( y = \frac{3(7) + 10(-6)}{3 + 10} \)

\( y = \frac{21 - 60}{13} \)

\( y = \frac{-39}{13} \)

\( y = -3 \)

The coordinates of the point 3/10 of the way from A to B are \( (\frac{3}{13}, -3) \)

Answer:

4

Step-by-step explanation:

2+2=4

Answer:

1/18

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

3/4 * 4/5= 12/20= 3/5

8.43 has two decimal digits. 0.06 has two decimal digits.

The product of eight.43 and 0.06 can have 2*2 = four decimal digits.

843*6 = 5058

8.43*0.06 = 0.5058

Answer:

yes correct

Step-by-step explanation:

Answer:

b = 20

Step-by-step explanation:

Using the slope-intercept form, y = mx + b, as a reference:

slope = m

y-intercept = b

In your given linear equation, y= 15x + 20:

The slope,  m = 15

And the y-intercept = 20.

The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.

Therefore, the value of the y-intercept, b, in the given equation is 20.

Answer:

\([7\times(-2)]^5 = 7^5 \times (-2)^5\)

Step-by-step explanation:

Answer:

Proofs for Pythagoras Theorem usually use visual/geometry approaches. I don't post pictures in my answers, so I will present a linear algebra approach. You can see it in the blog posted by Professor Terence Tao.

Note that there are several elegant proofs using animations and drawings, but this is just personal.

I've seen this some time ago, it is really interesting proof.

It states that \(a^2+b^2=c^2\) is equivalent to the statement that the matrices

\(%\begin{pmatrix}a & b \\ -b & a%\end{pmatrix}%\)    \(\begin{pmatrix}a& b \\-b & a\\\end{pmatrix}\) and \(\begin{pmatrix}c & 0\\0 & c \\\end{pmatrix}\) have the same determinant.

The determinant of the first matrix is \(a^2+b^2\)

The determinant of the second matrix is \(c^2\)

Once the linear transformations associated with these matrices differ by rotation, we claim that

\(a^2+b^2=c^2\)

The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).

In the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.

To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).

If we subtract each value in column 1 from the corresponding value in column 2, we find that:

11 - 1 = 10

22 - 2 = 20

33 - 3 = 30

44 - 4 = 40

By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.

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Answer:

C

Step-by-step explanation:

If you were to put the number of turkey out in order from least to greatest, the median is 12. Doing the same thing to the ham, the median is 9.

Subtracting Turkey (12) from Ham (9) your answer is C, or 3.

well, if it was 300 and now is 350, it went up by 50 bucks, that's the inflation amount.

if we take 300 to be the 100%, what is 50 bucks off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 300 & 100\\ 50& x \end{array} \implies \cfrac{300}{50}=\cfrac{100}{x}\implies 6=\cfrac{100}{x} \\\\\\ 6x=100\implies x=\cfrac{100}{6}\implies x=\cfrac{50}{3}\implies x\approx 16.7\)