A thermometer in Grand Forks, North Dakota, reads -4.5 °F in January.
The temperature on the same day in February has the same absolute value
as the temperature in January but is not the same temperature. What is
the temperature in February?

Answer:

standard form=ax+by+c=0

Step-by-step explanation:

0.25x-0.2y-0.1=0

Yes, based on the 99% confidence interval (0.297, 0.503), there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

The confidence interval (0.297, 0.503) represents the range of values within which the true difference in proportions between the two customer groups is likely to fall with 99% confidence. Since the interval does not include zero (0), we can conclude that there is a statistically significant difference between the proportions.

To further explain, the confidence interval was constructed using the sample proportions and the standard error. The sample proportion for the "big" customers who bank with other banks is 160/200 = 0.8, and for the "small" customers, it is 120/300 = 0.4. The standard error takes into account the sample sizes and proportions, and it measures the uncertainty in the estimation.

Since the confidence interval does not include zero, it indicates that the true difference in proportions is unlikely to be zero. In other words, there is strong evidence that the proportion of "big" bank customers who bank with more than one bank is higher than the proportion of "small" customers who do the same.

Therefore, based on the provided data and the confidence interval, we can conclude that there is convincing evidence of a difference in the proportion of "big" bank customers who bank with more than one bank compared to the "small" customers who bank with more than one bank.

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Answer: B

Step-by-step explanation: the pic shows this

Answer:

400 square feet

Step-by-step explanation:

The statement which best describes Gary’s error is; Gary did not use the greatest common factor in the equation.

This is the largest positive integer or polynomial that is a divisor of several different numbers. For instance, the greatest common divisor of 66, 30 and 18 is 6.

Gary's work:

66 + 36

Factors of 66: 1, 2, 3, 6, 11, 22, 33, 66

Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

66 + 36

= 3 (22 + 12)

Gary did not use the greatest common factor in the equation.

The correct answer:

66 + 36

= 6(11 + 6)

Therefore, Gary did not use the greatest common factor in the equation.

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Answer:

7 schools have fewer than 50 classrooms.

Answer:

C. 4√3 units

Step-by-step explanation:

Edge 2021

The value of x is 4.

Option B is the correct answer.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

From ΔRMN,

NM² = RN² + RM²

8² = y² + x²

64 = y² + x² ______(1)

And,

From ΔRNS,

RN² = RS² + SN²

y² = z² + 6²

y² = z² + 36 ______(2)

And,

From ΔRMS,

x² = z² + 2²

x² = z² + 4 _______(3)

From (1), (2), and (3).

x² = y² - 36 + 4

x² = 64 - x² - 36 + 4

2x² = 64 - 36 + 4

2x² = 68 - 36

2x² = 32

x² = 16

x = 4

Thus,

The value of x is 4.

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Answer:

Step-by-step explanation:

a). Polygon A is reflected across the line of symmetry (a vertical line passing through point A) to form polygon B.

b). Polygon A is rotated by 90° clockwise about the origin to form polygon B.

c). Polygon A is translated 3 units right and 1 unit up will form the image polygon B.

Subtract the amount she gives her mom from the total amount she has:

22 - 12 = 10

She has 10 boxes left.

Answer: We have an odd number of pennies.

Step-by-step explanation:

So we have N pennies.

When we wan to divide the N pennies into groups of 2, we have a penny left over.

This means that N is not divisible by 2.

The problem is that there are infinite natural numbers that are not divisible by two, this is the set of odd numbers.

And remember that an odd number can be written as:

N = 2*k + 1.

where k is an integer.

Then we want to divide this by 2 (divide N into groups of 2)

we have:

N/2 = (2*k + 1)/2 = 2*k/2 + 1/2 = k + 1/2.

So we have k groups of 2 pennies, and a penny leftover that we can not divide into two.

The ratio in it's simplest form is 21: 1

Ratio can be described as the comparison of two numbers together.

It can be calculated as follows

= 42/1

= 21/1

= 21:1

Hence the ratio is 21:1

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the volume on this device when the temperature is 400 degrees and the pressure is 10 lb/in^2 is V = 253.5 * (400/390) * (20/10) = 263.0 in^3

V = 253.5 * (T/390) * (20/P)

V = 253.5 * (400/390) * (20/10)

V = 263.0 in^3

The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. Knowing this, we can calculate the volume for any given temperature and pressure by using the formula V = 253.5 * (T/390) * (20/P). In this problem, the device was calibrated to give V=253.5 in^3 when T=390 degrees and P= 20 lb/in^2. To find the volume on this device when the temperature is 400 degrees and the pressure is 10 lb/in^2, we plug these values into the formula, which gives us V = 253.5 * (400/390) * (20/10) = 263.0 in^3.

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Answer:

x=6

Step-by-step explanation:

5x-10=20

5x=20+10

5x=30

x=6

Answer:

x - 6

Step-by-step explanation:

To solve the given equation for x, isolate the 5x term on the left:  Add 10 to boths sides.  We get:

5x = 30

which yields

x = 6

Answer:

a

Step-by-step explanation:

a) the line of symmetry for f(x) and g(x) is the same (x = -3)

b) The y-intercept of f is greater than the y-intercept of g

c) the average rate of change for f is less than the rate of change of g

Given:

A table describing functon f(x) and a parabola describing function g(x)

To find:

we need to complete the statements by filling in the blanks

a) The first is to determine the line of symmetry of f and g

The line of symmetry is the value of x which divides the parabola into equal halves (mirror images)

It is also the x coordinate of the vertex of the parabola. Since we are comparing f and g, it means plotting the points on the table will give a parabola.

Graph of f(x) showing the line of symmetry:

Graph of function g(x):

From the digrams above, the line of symmetry for f(x) and g(x) is the same (x = -3)

b) the y-intercept is the value of y when x = 0

On a graph, it is the value of y when the line crosses the y axis

On the graph of f(x), the line crosses the y axis at y = -2

Hence, the y-intercept is -2

On the table for f(x), x = 0 when f(x) = 8

On graph of f(x), the line crosses the y axis at y = 8

Hence, the y-intercept is 8

8 > -2

The y-intercept of f is greater than the y-intercept of g

c) The rate of change of a function is given as:

rate of change for f against g: -6 < 3

Over the interval [-6, -3], the average rate of change for f is less than the rate of change of g

Answer:

Side of the square (a) = 3½ = 7/2 m

Area of the square

= a²

= (7/2)²

= 49/4

= 12.25 m²

Hope it helps ⚜

Answer:

So the answer is the first one

The equation of the line passing from found as y = 5.

The formula for finding the slope is;

m = Δy/Δx

Where, m is the slope

The given equation of line is;

x = 3 comparing it with standard form of equation;

y = mx + c

As, the equation is a straight line passing parallel to x axis, the slop of line x = 3 is ∞.

Thus, m₁ =  ∞.

Now, let the slops of the line passing from (-2, 5) is m₂,

The, as both line are perpendicular.

Thus,

m₁ x m₂ = -1

m₂ = -1/∞

m₂ = 0

The equation of line is found by

y - y₁ = m₂(x - x₁)

Put the values;

y - 5 = 0(x + 2)

y = 5

Therefore,the equation of the line passing from found as y = 5.

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Tan(x/2) = (1 + cosx)/sinx is equivalent to the trigonometric identity cscx

An equation is an expression that can be used to show the relationship between variables and numbers.

Trigonometric identities are based on the six trigonometric ratios. They are sine, cosine, tangent, cosecant, secant, and cotangent.

It is given as:

tanФ = sinФ/cosФ, cotФ = 1/tanФ = cosФ/sinФ, cosecФ = 1/sinФ and secФ = 1/cosФ

According to half angle formula:

tan(x/2) = (1 + cosx)/sinx

Hence:

tan(x/2) + cotx = [(1 - cosx)/sinx] + (cosx/sinx)

tan(x/2) + cotx = (1 - cosx + cosx)/sinx

= 1/sinx

= cscx

Therefore tan(x/2) = (1 + cosx)/sinx is equivalent to cscx

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Answer:

<2 and <8

Step-by-step explanation:

As, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively. So,  if a commutes with d, then it must be block diagonal.

Let's suppose that d is a diagonal matrix with repeated diagonal entries grouped contiguously, i.e.,

d = \(\begin{pmatrix} D_1 & 0 & 0 & \cdots & 0 \ 0 & D_1 & 0 & \cdots & 0 \ 0 & 0 & D_2 & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & D_k \end{pmatrix}\),

where \(D_1, D_2, \dots, D_k\) are scalars and appear with frequencies \(m_1, m_2, \dots, m_k\), respectively, so that \(m_1 + m_2 + \dots + m_k = n\), the size of the matrix.

Suppose that \(a\) is a matrix that commutes with d, i.e., ad = da.

Then, for any \(i \in {1, 2, \dots, k}\), we have

\(ad_{ii} = da_{ii}\)

Here, \(d_{ii}\) denotes the \(i$th\) diagonal entry of d, i.e., \(d_{ii} = D_i\) for \(i = 1, 2, \dots, k\). Since d is diagonal, \(d_{ij} = 0\) for \(i \neq j\), and

hence

\(ad_{ij} = da_{ij} = 0\)

for all \(i \neq j\).

Therefore, a is also diagonal, with diagonal entries \(a_{ii}\), and we have

\(a = \begin{pmatrix} a_{11} & 0 & 0 & \cdots & 0 \ 0 & a_{11} & 0 & \cdots & 0 \ 0 & 0 & a_{22} & \cdots & 0 \ \vdots & \vdots & \vdots & \ddots & \vdots \ 0 & 0 & 0 & \cdots & a_{kk} \end{pmatrix}\)

Thus, a is block diagonal, with diagonal blocks of size \(m_1 \times m_1\), \(m_2 \times m_2\), \(\dots\), \(m_k \times m_k\), respectively.

Therefore, if a commutes with d, then it must be block diagonal.

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Answer:

The area of the circle is 8cm^2

Step-by-step explanation:

Answer:

3.14

Step-by-step explanation:

The area of the circle: pi times radius squared soo

radius 2cm divided by 2 equals 1 cm so pi times radius squared 3.14 × 1 squared so ur answer is 3.14

A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.

The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:

(Input, Output).

One point on the scatter plot for this problem has the coordinates given as follows:

(19, 3).

Hence the meaning is that an input of 19 is mapped to an output of 3.

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The probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121

The distribution of the puppies is given as:

4 ​poodles, 5 ​terriers, and 2 retrievers

The probability of selecting a terrier is;

P(terrier) = 5/11

The probability of selecting a retriever is;

P(retriever) = 2/11

The required probability is

P = 5/11 * 2/11

Evaluate

P = 10/121

Hence, the probability that Rebecka selects a terrier and Aaron selects a retriever is 10/121

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Answer:

I'm sorry

Step-by-step explanation:

I'm in middle school I wish I could help.

Answer:

-8.66666666666666666666666666666666666

-9

Step-by-step explanation: