Mark this question A poll conducted a week before the school election to the student council showed that Anjali would win with 58% of the vote. The margin of error was 7%. Choose the statement that correctly describes the confidence interval. O Anjali is predicted to win 58% or less of the vote. Anjali is predicted to win between 58% to 65% of the vote. O Anjali is predicted to win 58% or more of the vote. O Anjali is predicted to receive as much as 65% of the vote or as little as 51%

Answer:

9.28 liters

Step-by-step explanation:

The unit rate is 1.6 liters per hour.

You multiply it by the number of hours

1.6 x 5.8 = 9.28

Answer:

9.28.

Step-by-step explanation:

We're trying to find out how much gas Luis uses in 5.8 hours. It states that Luis uses 1.6 liters of gasoline EACH HOUR. So, we just multiply 1.6 and 5.8.

Answer:

sorry if wrong again but for a put (r+y) (a+b)

for b put (pq-\(r^{2}\)) x (9-1)

Step-by-step explanation:

Answer:

Therefore, the measure of ∠x is 33 degrees.

Step-by-step explanation:

As angle ∠S is a right angle and angles ∠R and ∠x are complementary, we have:

∠R + ∠x = 90 degrees

Substituting the given values, we get:

57 + ∠x = 90

∠x = 90 - 57

∠x = 33 degrees

Answer: x = 32°

Step-by-step explanation: triangle of ABC = 58°, 90° & x°

                                              x = 180°-148° = 32°

(x° is equal to the unknown° where C is, as well as 58° where A is)

we have shown that ⋀n−1 i=1 ⋀n j=i 1 (¬pi ∨ ¬pj) is true if and only if at most one of p1, p2,..., pn is true.

What is the Boolean algebra?

Boolean algebra is a branch of mathematics that deals with operations on logical values and variables, named after the mathematician George Boole.

Hence, we have shown that ⋀n−1 i=1 ⋀n j=i 1 (¬pi ∨ ¬pj) is true if and only if at most one of p1, p2,..., pn is true.

Let's break down the expression ⋀n−1 i=1 ⋀n j=i 1 (¬pi ∨ ¬pj) into its component parts:

Now, let's consider what happens when we evaluate this expression:

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Answer:

p greater than or equal to 36

If \(t\) and \(r\) are inverse proportional to one another, then for some constant volume \(V\) we have

\(V = tr\)

It takes 45 min to empty a tank containing at 300 gal/min, so the tank contains

\(V = (45\,\mathrm{min}) \left(300\dfrac{\rm gal}{\rm min}\right) = 13500\,\mathrm{gal}\)

of liquid.

If it's emptied at 500 gal/min, it would take

\(13500\,\mathrm{gal} = t \left(500\dfrac{\rm gal}{\rm min}\right) \implies t = \boxed{27\,\mathrm{min}}\)

To determine the monthly payment on a 5-year car loan with a monthly percentage rate of 0.625%, we need to calculate the present amount borrowed (Pn) and then use the given formula to solve for the monthly payment (PMT).

Given:

Original cost of the car (Pn) = $21,000

Down payment = $1,000

Monthly interest rate (i) = 0.625% = 0.00625

Number of monthly pay periods (n) = 5 years * 12 months/year = 60 months

First, calculate the present amount borrowed (Pn):

Pn = Original cost - Down payment

Pn = $21,000 - $1,000

Pn = $20,000

Now, use the formula to calculate the monthly payment (PMT):

PMT = Pn * ((1 - (1 + i)^(-n)) / i)

PMT = $20,000 * ((1 - (1 + 0.00625)^(-60)) / 0.00625)

Calculating this expression using a calculator or spreadsheet, the monthly payment (PMT) is approximately $377.42 (rounded to the nearest cent).

Therefore, the monthly payment on the 5-year car loan is approximately $377.42.

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Answer:

3(4) - 2 is 10 the value is 10

5(2) + 6 is 16 the value is 16

I hope this helps have a good day or night!

Answer:

Step-by-step explanation:

14y-1=11y+17 subtract 11y from both sides

3y-1=17 add 1 to both sides

3y=18, divide both sides by 3

y=6

Since DG=EF

EF=9y+4 and using y=6

EF=9(6)+4

EF=54+4

EF=58

Answer:

Using the Pythagorean theorem we can first put the points into x and y

x1 = 7

y1 = 9

x2 = 1

y2 = 1

The distance between the two points can be found as follows:

d = √((x2 - x1)² + (y2 - y1)²)

= √((1 - 7)² + (1 - 9)²)

= √((-6)² + (-8)²)

= √(36 + 64)

= √100

= 10

Therefore, the distance between the points (7, 9) and (1, 1) is 10 units.

The product that is the factored form of the polynomial 3x⁴ - 2x² + 15x² - 10 is (x² + 5)(3x² - 2).

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

The polynomial is first correctly stated as follows

This is rearranged, grouped and solved as follows:

\(\sf 3x^4+15x^2-2x^2-10\)

\(\sf (3x^4+15x^2)-(2x^2+10)\)

\(\sf 3x^2(x^2+5)-2(x^2+5)\)

Factorizing the common factors, we have the product of the factored form of the polynomial as follows:

\(\boxed{\rightarrow\bold{(x^2 + 5)(3x^2 - 2)}}\)

Thus, the product that is the factored form of the polynomial 3x⁴ - 2x² + 15x² - 10 is (x² + 5)(3x² - 2).

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We can use the unit circle or reference angles. For the range O≤θ<2π, let's find the solutions: The solutions for θ in the given equation are θ = π/3, 2π/3, 4π/3, and 5π/3.

To write the equation in terms of a single angle, we can use the double-angle identity for cosine:

cos(2θ) = 2cos^2(θ) - 1

Given the equation cos(2θ) = -2cos^2(θ), we can substitute the right side of the equation with the double-angle identity:

2cos^2(θ) - 1 = -2cos^2(θ)

Now, let's simplify the equation:

2cos^2(θ) - 1 + 2cos^2(θ) = 0

Combining like terms:

4cos^2(θ) - 1 = 0

Now, let's isolate cos^2(θ) by moving -1 to the other side:

4cos^2(θ) = 1

Dividing both sides by 4:

cos^2(θ) = 1/4

Taking the square root of both sides:

cos(θ) = ±√(1/4)

cos(θ) = ±1/2

Now, we have two equations:

1) cos(θ) = 1/2

2) cos(θ) = -1/2

To solve for θ, we can use the unit circle or reference angles. For the range O≤θ<2π, let's find the solutions:

1) cos(θ) = 1/2:

θ = π/3 and θ = 5π/3

2) cos(θ) = -1/2:

θ = 2π/3 and θ = 4π/3

Therefore, the solutions for θ in the given equation are:

θ = π/3, 2π/3, 4π/3, and 5π/3.

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Answer:

Step-by-step explanation:

for equation y=0.79x+27

slope =0.79

y intercept =put x=0

 =27

Answer:

\(\huge\boxed{\text{(A)}\ 0.36}\)

Step-by-step explanation:

This sequence will have a pattern. Our goal is to try and find this pattern.

Our first two numbers are -45 and 9. The first relationship between these numbers that pops into my mind is 5. \(9 \cdot 5 = 45\). However, we go from -45 to 9. This means we have to divide by -5. \(-45 \div -5 = 9\)

Let's check this actually is what the sequence is. It would be true if \(9 \div -5 = -1.8\).

\(9 \div -5 = -1.8\)

So -5 is the divisor.

To find the next term in the sequence, we divide -1.8 by -5.

\(-1.8 \div -5 = 0.36\)

Hope this helped!

Answer:

38/5m

Step-by-step explanation:

Solution

= 2/5m - 4/5- 3/5

take 5 common in denominators

= 2-4+3/5

38/5m

a) The volume of the box (in cubic inches) when the cutout length is 0.8 inches can be represented using function notation as f(0.8).

b) The volume of the box (in cubic inches) when the cutout length is 1.2 inches can be represented using function notation as f(1.2).

c) The change in volume of the box (in cubic inches) when the cutout length increases from 0.8 inches to 1.2 inches can be represented using function notation as f(1.2) - f(0.8).

d) The change in volume of the box (in cubic inches) when the cutout length increases from 5.6 inches to 5.7 inches can be represented using function notation as f(5.7) - f(5.6).

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The ordered pair (7,0) (7,-5) (7,-8) (7,4) (7,3) is not a function

From the question, we have the following parameters that can be used in our computation:

(7,0) (7,-5) (7,-8) (7,4) (7,3)

A function is a set of ordered pairs, where for each input (x-value) there is exactly one output (y-value).

In the given set of ordered pairs, the x-value 7 is repeated multiple times and has different y-values, which violates the definition of a function.

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Answer:

1.3

Step-by-step explanation:

Answer:

\(\textsf{A)} \quad x=\dfrac{\log b - \log 7}{ \log a}-2\)

Step-by-step explanation:

Given function:

\(f(x)=7a^{2+x}-b\)

The x-intercepts occur when the function equals zero.

\(\implies 7a^{2+x}-b=0\)

Add b to both sides:

\(\implies 7a^{2+x}=b\)

Divide both sides by 7:

\(\implies a^{2+x}=\dfrac{b}{7}\)

Take logs of both sides of the equation:

\(\implies \log \left(a^{2+x}\right)= \log \left(\dfrac{b}{7}\right)\)

\(\textsf{Apply the Power log law}: \quad \log_ax^n=n\log_ax\)

\(\implies (2+x)\log a= \log \left(\dfrac{b}{7}\right)\)

\(\textsf{Apply the Quotient log law}: \quad \log_a\frac{x}{y}=\log_ax - \log_ay\)

\(\implies (2+x)\log a= \log b-\log 7\)

Divide both sides by log a:

\(\implies 2+x=\dfrac{\log b - \log 7}{ \log a}\)

Subtract 2 from both sides:

\(\implies x=\dfrac{\log b - \log 7}{ \log a}-2\)

Answer:

The correct answer would be 2.00%

The probability that the first student is a boy and the second student is a girl is 7/26.

To answer your question, we'll need to calculate the probabilities for each event and then multiply them together.

Probability of selecting a boy first:
There are 7 boys and 13 students total (7 boys + 6 girls), so the probability is 7/13.

Probability of selecting a girl second:
After selecting a boy, there are now 12 students remaining (6 boys + 6 girls). The probability of selecting a girl is 6/12 (which simplifies to 1/2).

Now, multiply the probabilities together: (7/13) × (1/2) = 7/26

So, the probability that the first student is a boy and the second student is a girl is 7/26.

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The slope between the points (-6, 6) and (-6, -1) is -infinity.

The slope of a line is the change in the dependent variable with respect with the change in the independent variable.

Therefore, the slope is define as rise over run.

Hence let's find the slope between the points (-6, 6) and (-6, -1)

Therefore,

slope = y₂ - y₁ / x₂ - x₁

x₁ = -6

x₂ = -6

y₁ = 6

y₂ = -1

Therefore,

slope = -1 - 6 / -6 + 6

slope = -7 / 0

slope = - infinity

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Answer:

53 miles per hour

Step-by-step explanation:

To calculate Jennifer's average rate of speed in miles per hour, we can use the formula:

average speed = total distance / total time

In this case, Jennifer drove a total distance of 265 miles and it took her a total time of 5 hours, so:

average speed = 265 miles / 5 hours

Simplifying the expression, we get:

average speed = 53 miles per hour

Therefore, Jennifer's average rate of speed in miles per hour is 53 miles per hour.

Answer: 53 miles per hour

Step-by-step explanation:

To find Jennifer's average rate of speed in miles per hour, we divide the distance she traveled by the time it took her:

Average speed = distance ÷ time

Average speed = 265 miles ÷ 5 hours

Average speed = 53 miles per hour

Therefore, Jennifer's average rate of speed was 53 miles per hour.

Answer:

Russia

Step-by-step explanation:

Russia made the Sputnik satelite

Answer:

Soviet Union has developed world's first satellite

The length QN on the triangle is 54 units

From the question, we have the following parameters that can be used in our computation:

Point P = Centroid

Also, we have

QP = 18

The centroid divides each median into the ratio 2:1.

Using the above as a guide, we have the following:

QN = 3 * QP

Substitute the known values in the above equation, so, we have the following representation

QN = 3 * 18

Evaluate

QN = 54

Hence, the length is 54 units

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Answer:

Yes

Step-by-step explanation:

For 89 to be a rational number, the quotient of two integers must equal 89. In other words, for 89 to be a rational number, 89 must be able to be expressed as a ratio where both the numerator and the denominator are integers (whole numbers). ... Thus, the answer to the question "Is 89 a rational number?" is YES.

Answer:

m∠Y = 50°

Step-by-step explanation:

let 'm' = m∠Y

m∠S + m∠Y = 90 (complementary)

5m - 210 + m = 90

6m = 300

m = 50