Paula Pidcoe is doing her budget. She discovers that the average miscellaneous expense is $65.00 with a standard deviation of $18.00. What percent of her expenses in this category would she expect to fall between $54.20 and $86.60?
The z for $54.20 = -

The percent of area associated with $54.20 =
%

The z for $86.60 =

The percent of area associated with $86.60 =
%

Adding the two together, the percent of his expenses between $54.20 and $86.60 is
%

Answer:

I didn't get it by which method you are saying

Answer:

x=3+y

3x+2y=9

3(3+y)+2y=9

-->y=0

×=3+0

x=3

(x,y)=(3,0)

The statement (D) "the fewest students prefer black Model A1 calculators" is correct.

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

There is the fewest value is 0.05

More students prefer Model C3 calculators than Model A1 calculators, mathematically,

0.30 > 0.45 (false)

More students prefer black calculators than white calculators, mathematically,

0.35 > 0.65 (false)

Similarly, statement third is also false.

Thus, the statement (D) “the fewest students prefer black Model A1 calculators” is correct.

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Answer:

The second one. The -2y should have been +2y

Step-by-step explanation:

a negative multiplied by a negative gives you a positive

Answer:

it should be the second answer

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

9.2  to  9.3    the top right one

Answer:

Step-by-step explanation:

a) Out of 5, 1 only one is wrong. So number of questions answered correctly is (4/5)

To find the percentage, multiply (4/5) by 100

    \(\sf \dfrac{4}{5}*100 = 4* 20 = 80 \%\)

b) It is not possible to find the actual score because we don't know how many questions were there actually and the score for each question.

Answer:

jajajjajaja

Step-by-step explanation:

sdfgsdfgsdfg

The top 40 radio stations historically played the top 40 songs repeatedly every 24 hours to engage listeners and maximize popularity, hence true.

True, top 40 radio stations traditionally played the top 40 songs repeatedly every 24 hours.

The term "top 40" refers to a format in radio broadcasting where the station plays the current 40 most popular songs.

This format originated in the 1950s and gained popularity in the 1960s and 1970s.
In the past, top 40 radio stations used to receive weekly music charts from record companies, which ranked the popularity of songs based on sales and airplay.

The station would then select the top 40 songs and create a playlist that would be repeated throughout the day.
The repetition of the top 40 songs every 24 hours was done to maximize listener engagement.

By playing the most popular songs more frequently, radio stations aimed to attract and retain a larger audience.

This strategy helped them maintain high ratings and generate revenue through advertising.
However, it is important to note that the radio landscape has evolved over time.

With the rise of digital music platforms and personalized streaming services, the traditional top 40 radio format has faced challenges.

Today, radio stations may have more varied playlists and offer different genres of music to cater to diverse listener preferences.
It's worth noting that the radio industry has undergone changes in recent years to adapt to evolving listener demands and the emergence of new technologies.

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Answer:

The product is 9x^2+48x+64

Step-by-step explanation:

Answer:

26r^2 + 36r.

Step-by-step explanation:

The phase angle by which v1(t) leads i2(t) is -42 degrees or V1 leads i2 by 42 degrees.

Given that,

v1(t) = 4sin(377t + 45°) V;

i2(t) = -0.1sin(377t + 87°)

To find the phase angle by which v1(t) leads i2(t), we need to first write the expressions for both v1(t) and i2(t) in the phasor form.

v1(t) can be expressed in the phasor form as

V1 = 4 ∠ 45°i2(t) can be expressed in the phasor form as i2 = -0.1 ∠ 87°

Let's now find the phase difference between the two using the formula:

Φ = ΦV1 - Φi2 where

ΦV1 = 45°

Φi2 = 87°

Φ = ΦV1 - Φi2

= 45° - 87°

= -42°

V1 leads i2 by 42 degrees.

Therefore, the phase angle by which v1(t) leads i2(t) is -42 degrees, or V1 leads i2 by 42 degrees.

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The total volume of snow used to make the snowman is 568π/3 cubic inches, approximately 188.4955592 cubic inches.

The given snowballs have the following radii: 2 inches, 3 inches and 5 inches. The volume of a sphere is given by the formula:V = (4/3)πr³
Where r is the radius of the sphere. Using the above formula, let us find the volume of the snowballs one by one:
Volume of snowball with radius 2 inches
V = (4/3)π(2)³= 4π(8/3)= 32π/3 cubic inches
Volume of snowball with radius 3 inches
V = (4/3)π(3)³= 4π(27/3)= 36π cubic inches
Volume of snowball with radius 5 inches
V = (4/3)π(5)³= 4π(125/3)= 500π/3 cubic inches
Therefore, the total volume of snow used to make the snowman is:
V(total) = 32π/3 + 36π + 500π/3= 568π/3 cubic inches, approximately 188.4955592 cubic inches.


Thus, the total volume of snow used to make the snowman is 568π/3 cubic inches, approximately 188.4955592 cubic inches.

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Answer:

Step-by-step explanation:

The two given angles are called remote interior angles. They share 1 line with each other and each of them shares the other line making them up with the remote exterior angle (x)

x is the sum of the two interior angles

x = 88 + 46

x = 134

Answer:

Step-by-step explanation:544

Answer:

total weight of wheat and rice is 8 kg

Step-by-step explanation:

rice = \(3\frac{3}{2}\)

=3*2+3/2

=9/2

wheat = \(2\frac{1}{2}\)

=2*2+1/2

=5/2

total weight of wheat and rice = \(\frac{7}{2} + \frac{9}{2}\)

since their denominator are same u can add numerators.

=7 +9/2

=16/2

=8

After answering the provided question, we can conclude that So the equation equation of any line perpendicular to the given line is x + 2y = 2.

In mathematics, an equation is a statement that states the equivalence of two expressions. An equation consists of two sides separated by an algebraic equation (=). For instance, the argument "2x + 3 = 9" states that the sentence "2x + 3" equals the number "9". The purpose of solving equations is to find the value or amounts of the variable(s) that always allow the equation to be true. Equations can just be simple or complicated, regular or nonlinear, and contain one or more variables. For example, in the equation "x2 + 2x - 3 = 0," the variable x is raised to the second power. Lines are used extensively in mathematics, including algebra, calculus, and geometry.

The given line is 2x - y = 9, which can be rewritten in slope-intercept form as y = 2x - 9.

(a)

\(y - (-1) = 2(x - 4)\\y + 1 = 2x - 8\\y = 2x - 9\\\)

This is the same equation as the given line, so the equation of any parallel line is y = 2x - 9.

(b)

\(y - (-1) = (-1/2)(x - 4)\\y + 1 = (-1/2)x + 2\\y = (-1/2)x + 1\\2y = -x + 2\\x + 2y = 2\)

So the equation of any line perpendicular to the given line is x + 2y = 2.

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Answer:

3q + 7 = 40

Step-by-step explanation:

Given the expression:

Let's simplify the polynomials by adding them.

Here, the polynomials have like terms because their variables are the same and the expoenents of the variables are also equal.

Since the polynomials have like terms, let's add the coefficients.

Therefore, the simplified expression after adding is:

ANSWER:

Answer:

31

Step-by-step explanation:

x, x+1, x+2

x + x + 1 +x + 2 = 90

3x + 3 = 90

     -3      -3

3x = 87

/3     /3

x = 29

29 + 2 = 31

Answer:

P(-5) = 109

Step-by-step explanation:

     If the polynomial p(x) is divided by the linear polynomial (x-a), the remainder is p(a).

   Dividend = divisor * quotient + remainder.

   p(x) = (x-a) * q(x) + p(a)

Here, q(x) is the quotient and p(a) is the remainder.

      P(x) = 4x² - x + 4

     P(-5) = 4*(-5)² - 1*(-5) + 4

              = 4*25 + 5 + 4

              = 100 + 5 + 4

              = 109

Answer:

B

--------

Because:-

5, 12, 13 is a Pythagorean triple

3, 4, 5 is a Pythagorean triple

9, 12, 15 is a Pythagorean triple

7, 8, 9 is not a Pythagorean triple

use this rule:-

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

The ounces of coffee the patient have each day is 24 oz.

A difference among starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.

Some characteristics of percentage change are-

Calculation for the coffee that the patient consume each day,

Determination for the coffee he consumes daily.

4 cups x 8 oz = 32 oz

Now, multiply the outcome by the decimal equivalent of the percentage (i.e., 25% = 25/100).

32 x (25/100) = 8

Finally, remove the percentage from the weekly coffee consumption.

32-8 = 24 oz per day

Therefore, the consumption of the coffee by the patient reduced to 24 oz per day from 32 oz per day.

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When b is 3, the value of the expression \(2b^3 + 5\) is 59.

To evaluate the expression\(2b^3 + 5\) when b is 3, we substitute the value of b into the expression and perform the necessary calculations.

Given that b = 3, we substitute this value into the expression:

\(2(3)^3 + 5\)

First, we evaluate the exponent, which is 3 raised to the power of 3:

2(27) + 5

Next, we perform the multiplication:

54 + 5

Finally, we add the two terms:

59

Therefore, when b is 3, the value of the expression \(2b^3 + 5\) is 59.

In summary, by substituting b = 3 into the expression \(2b^3 + 5\), we find that the value of the expression is 59.

It's important to note that the provided equation has multiple possible solutions for x, but when b is specifically given as 3, the value of x is approximately 3.78.

It's important to note that in this equation, we substituted the value of b and solved for x, resulting in a specific value for x. However, if we wanted to solve for b given a specific value of x, we would follow the same steps but rearrange the equation accordingly.

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Answer:

17 in.

Step-by-step explanation:

Some of the pizza will be ate multiply by 4 to get 17

Answer:

The square root of 200 in its simplest radical form is 10√2.

Step-by-step explanation:

If we know the prime factorization of a number, we can write the radical form of the square root of that number.

Answer: 10√2.

Step-by-step explanation: the prime factorization of 200 is 2 × 2 × 2 × 5 × 5. As a result, the square root of 200 in the simplest radical form should be 10√2.

Rolle's theorem:

If a function \(f\) is continuous on the closed interval \( [a, b] \) and differentiable on the open interval \((a,b)\) such that \(f(a) = f(b)\), then [tex)f′(x) = 0\) for some \(x\) with \( a \leq x \leq b\).

Tangent:

A tangent is parallel to the x-axis if the slope of the tangent is 0. So, using Rolle's theorem, if we consider \(x=-\pi/2\) and \(x=\pi/2\), then \(f(-\pi/2)=f(\pi/2)=-1\).

Since \(f(x)\) is continuous on \([-\pi/2, \pi/2]\) and differentiable on \((-\pi/2, \pi/2)\), \(f'(x)=0\) for some \(-\pi/2 \leq x \leq \pi/2\), and thus there is a point in this interval which is parallel to the x-axis.

Answer:

No because their ratios are not the same

Step-by-step explanation:

The scalar from 5 to 10 is 2 but from 3 to 4, its 4/3.

Answer: A

Step-by-step explanation:

Flame length = l

Fire speed = s

In graph d, when l = 10, s does not equal 2.

It is eliminated.

In graph b, when l = 35, s=8, but in the graph, when l=30, s=8.

It is eliminated.

In graph c, when l=50, s=9, but in the graph when l=55, s=9.

It is eliminated.

The correct answer is a.

Yes, the set S = { p ∈ P | L(p) = p } is a subspace of P.

To show that S is a subspace, we need to prove three conditions: S is non-empty.

S is closed under vector addition.

S is closed under scalar multiplication.

Non-empty: Since L is a linear map, the identity element 0 of P is mapped to itself. Therefore, 0 ∈ S, and S is non-empty.

Closure under vector addition: Let p, q ∈ S, meaning L(p) = p and L(q) = q. We need to show that L(p + q) = p + q. Using the linearity property of L, we have L(p + q) = L(p) + L(q) = p + q. Hence, p + q ∈ S, and S is closed under vector addition.

Closure under scalar multiplication: Let p ∈ S and c be a scalar. We need to show that L(cp) = cp. Using the linearity property of L, we have L(cp) = cL(p) = cp. Thus, cp ∈ S, and S is closed under scalar multiplication.

Since S satisfies all three conditions, it is a subspace of P.

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Answer:

Start at any point on the graph. Move up 1 space and right 2 spaces, and then plot a point.

Explanation:

Look at the coordinates (4, 2) and (6, 3) that I graphed on the chart. If you move 1 space up, and 2 spaces to the right, it leads to the coordinates (6, 3)

Answer:

No, it is not a function.

Step-by-step explanation:

Functions only have one y-coordinate for every x-coordinate. In this image there are more than one y-coordinate for multiple x-coordinates. Therefore, no, this is not a function.

Answer:

$3.45

Step-by-step explanation:

Let "x" repreesnt the cost of one box. If 8 = 27.60, 1 = "x". Set up a fraction, then solve;

\(\frac{8}{27.6}=\frac{1}{x}\)

Step 1: Divide 27.6 by 8

\(27.60 \div 8 = 3.45\)

Step 2: Multiply the result by 1

\(3.45 \times 1 = 3.45\)

That means 1 cereal box costs 3.45 dollars.

To ensure that each of the three friends has a fair chance of being selected to drive first on their road trip, they can use the method of flipping a coin. Here's a step-by-step explanation:
1. Mark, Anthony, and Derek can gather together and agree to use a coin flip method to determine who will drive first.
2. They can designate one person to be the flipper, who will toss the coin into the air.
3. Before flipping the coin, they should establish what each side of the coin represents. For example, they can agree that heads means Mark drives first and tails means Anthony drives first.
4. The flipper then tosses the coin into the air, allowing it to spin and fall back down.
5. Once the coin lands, they can check the result and determine who will drive first based on the agreed-upon assignment for each side of the coin.
6. If Mark and Anthony are not selected to drive first, it automatically means that Derek will be the one to drive first.

Using the coin flip method ensures fairness because it provides an equal chance for each friend to be selected. It relies on chance rather than personal preferences or biases, making it an unbiased way to decide who will drive first on their road trip.

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