convert 15/16 into a decimal and then a percent.​

Answer juvhfVO"zohgvjozi nandish pro nbhvmno

Using the z-distribution, since the p-value of the test is less than 0.01, there is enough evidence to conclude that the claim is correct.

At the null hypothesis, it is tested if there is not enough evidence that the proportion is above 0.5, hence:

\(H_0: p \leq 0.5\)

At the alternative hypothesis, it is tested if there is enough evidence that the proportion is above 0.5, hence:

\(H_1: p > 0.5\)

The test statistic is given by:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

For this problem, the parameters are:

\(n = 825, \overline{p} = \frac{500}{825} = 0.606, p = 0.5\)

Hence the test statistic is:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.606 - 0.5}{\sqrt{0.5(0.5)}{825}}}\)

z = 6.1.

We have a right-tailed test, as we are testing if the proportion is greater than a value. Using a z-distribution calculator, with z = 6.1, the p-value is of 0.

Since the p-value is less than 0.01, there is enough evidence to conclude that the claim is correct.

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Answer:

A parallelogram is a shape with 4 equal sides like a square or a rectangle. I hope this helped!

Answer:

Equation: 2.75x + 114 = 320.25

x =$75

Step-by-step explanation:

Equation:

\(\boxed {2.75x + 114 = 320.25} \\ \\ 2.75x = 320.25 - 114 \\ \\ 2.75x = 206.25 \\ \\ x = \frac{206.25}{2.75} \\ \\ x = \$75\)

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

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Answer:

(x+y)-abc is the correct answer

Step-by-step explanation:

product means multiplcation

A*B*C - (X+Y)

ABC - (X+Y)

The equation of the form \(f(x)=ax^2+bx+c\) that must solve algebraically and f(1)=4, f(2)=13 and, f(4)=46 is \(\frac{5}{2}x^2+\frac{3}{2}x+5\).

Putting x = 1 in the given equation, we get

\(f(1)=a(1)^2+b(1)+c\)

f(1) = a + b + c = 4 ...(1)

Putting x = 2 in the given equation, we get

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

f(2) = 4a + 2b + c = 13 ...(2)

Putting x = 4 in the given equation, we get

\(f(4)=a(4)^2+b(4)+c\)

f(4) = 16a + 4b + c = 46 ...(3)

Using elimination method to solve the set of linear equations, we get

(2) - (1), we get

3a + b = 9  ...(4)

(3) - (2), we get

12a + 2b = 33  ...(5)

Multiplying (4) by 2, we get

6a + 2b = 18 ...(6)

(5) - (6), we get

6a = 15

a = 15/6 = 5/2

Putting a = 5/2 in (4), we get

3(5/2) + b = 9

15/2 + b = 18/2

b = 3/2

Putting the values of a and b in (1), we get

5/2 + 3/2 + c = 9

4 + c = 9

c = 9 - 4

c = 5

Hence, the equation is \(\frac{5}{2}x^2+\frac{3}{2}x+5\).

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Answer:

x = -1

Step-by-step explanation:

-2(1 + 2x) = 2(2x + 3)

-2 - 4x = 4x + 6

Subtract 4x to both sides

-2 - 8x = 6

Add 2 to both sides

-8x = 8

Divide both sides by -8 to get x alone

-8x/-8 = 8/-8

x = -1

Hope this helps and pls mark me brainliest if you can:)

Answer:

Perimeter: 20 mi

Area: 22.44 mi^2

Step-by-step explanation:

perimeter formula for a rectangle is 2 times length plus 2 times width

2(3.4)+2(6.6)

6.8+13.2

20 is the perimeter

Now for the are we multiplying the length and width to find area

3.4x6.6

22.44 is the area

Hopes this helps please mark brainliest

Answer:

\(f(x)=4x^2\)

Step-by-step explanation:

Quadratic Model

The quadratic function can be expressed in the form:

\(f(x)=ax^2+bx+c\)

Where a,b, and c are constants to be determined using the points through which the function passes.

We have the points (-2,16) (0,0) (1,4). To find the values of a,b,c we just substitute the values of x and y and solve the system of equations.

Point (0,0):

\(f(0)=a*0^2+b*0+c=0\)

It follows that

c=0

Point (-2,16):

\(f(0)=a*(-2)^2+b*(-2)+c=16\)

Operating:

\(a*(4)+b*(-2)+c=16\)

Since c=0:

\(4a-2b=16\)

Divide by 2:

\(2a-b=8\qquad\qquad [1]\)

Point (1,4):

\(f(1)=a*(1)^2+b*(1)+c=4\)

\(a*(1)+b*(1)+c=4\)

Since c=0:

\(a+b=4\qquad\qquad [2]\)

Adding [1] + [2]:

2a+a=12

3a=12

a=12/3=4

a=4

From [2]

b=4-a

b=4-4=0

b=0

The model is:

\(\boxed{f(x)=4x^2}\)

Answer:

The appropriate answer is "0.437".

Step-by-step explanation:

Given:

P(rain) = 0.14

then,

P(no-rain) = 1-P(rain)

                 = 1-0.14

                 = 0.86

P(delay) = 0.16

P(rain and on time) = 0.79

then,

By using the conditional probability, we get

⇒ \(P(A|B)=\frac{P(A \cap B)}{P(B)}\)

or,

⇒ \(P(no \ rain|delay) = \frac{P(no \ rain \cap delay)}{P(delay)}\)

By substituting the values, we get

⇒                             \(=\frac{0.07}{0.16}\)

⇒                             \(=0.437\)  

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

Answer:

76 is the answer

Step-by-step explanation:

4³+6(2)

64+ 12

76

Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)

\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)

Answer:

It would be a I think

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

According to the quantity theory of money, changes in the money supply will lead directly to changes in the price level if velocity and real GDP are unaffected by the change in the money supply.Velocity can change over time, and changes in velocity may be caused by various factors.

For example, changes in velocity can be caused by shifts in payment practices, changes in the use of credit, changes in the availability of bank deposits or cash, or shifts in demand patterns.Changes in velocity may be related to changes in the money supply.

For example, if the money supply increases, the demand for money may increase, causing the velocity of money to decrease. Conversely, if the money supply decreases, the demand for money may decrease, causing the velocity of money to increase.

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If the columns of B are linearly dependent, then the columns of AB are also linearly dependent.

To show that if the columns of B are linearly dependent, then the columns of AB are also linearly dependent, follow

these steps:

Let A be an m x n matrix and B be an n x p matrix, as given in the student question.

Since the columns of B are linearly dependent, there exists a non-trivial linear combination of the columns of B that

equals the zero vector. In other words, there exist scalar coefficients c_1, c_2, ..., cp (not all zero) such that:

c_1 × (column 1 of B) + c_2 × (column 2 of B) + ... + cp × (column p of B) = 0

Now, let's consider the product AB. Multiply both sides of the equation above by the matrix A:

A × (c_1 × (column 1 of B) + c_2 × (column 2 of B) + ... + cp × (column p of B)) = A × 0

Distribute A to each term:

c_1 × (A × (column 1 of B)) + c_2 × (A × (column 2 of B)) + ... + cp × (A × (column p of B)) = 0

Notice that A × (column 1 of B), A × (column 2 of B), ..., A × (column p of B) are the columns of the matrix AB.

Thus, we have found a non-trivial linear combination of the columns of AB that equals the zero vector:

c_1 × (column 1 of AB) + c_2 × (column 2 of AB) + ... + cp × (column p of AB) = 0

Since there exists a non-trivial linear combination of the columns of AB that equals the zero vector, the columns of AB

are linearly dependent.

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The  best measure of center for the data shown is the median, and its value is 17.

The median is the best measure of center for the given data set. To find the median, we arrange the numbers in ascending order:

10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24

Since the data set has an odd number of values, the median is the middle value, which in this case is 17.

Therefore, the best measure of center for the data shown is the median, and its value is 17.

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Answer:

You invested $22,000 in two accounts paying 3% and 5% annual interest, respectively. If the total interest earned for the year was $980, how much was invested at each rate?

Step-by-step explanation:

let x=amt invested at 3% rate of interest.

22000-x=amt invested at 5% rate of interest.  

.03x+.05(22000-x)=980

.03x+1100-.05x=980

.02x=120

x=6000

22000-x=16000

amt invested at 3% rate of interest=$6,000

amt invested at 5% rate of interest=$16,000

The amount invested in the account that yields 3% interest is $21,000 and the amount invested in the account that yields 2% interest is $5000

This can be solved using simultaneous equations. Two equations can be derived from the question :

a + b = 26,000 equation 1

0.02a + 0.03b = 730 equation 2

Where

a = amount invested in the account that yields a 2% interest

b = amount invested in the account that yields a 3% interest

Multiply equation 1 by 0.02

0.02a + 0.02b = 520 equation 3

Subtract equation 3 from equation 2

0.01b = 210

Divide both sides of the equation by 0.01

b = 210 / 0.01 = 21,000

Substitute for b in equation 1

a + 21,000 = 26,000

a = 26,000 - 21,000

a = 5000

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The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2

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

The 5 functions of g(x)

To determine the key features of the function g(x), we make use of the first

g(x) = (x + 2)(x − 1)(x − 2)

So, we have

Zeros

This is when the function equals 0

(x + 2)(x − 1)(x − 2) = 0

Evaluate

x = -2, 1 and 2

The y-intercept

This is when the value of x in the function equals 0

g(0) = (0 + 2)(0 − 1)(0 − 2)

Evaluate

g(0) = 4

End behaviour

This is the behavior of the graph of the function as it approaches the ends of the x-axis

So, we have

\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)

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Answer:

Step-by-step explanation:

This problem can be solved by applying Pythagoras theorem, since the segment AB is tangent to the circle(meaning that the point A is at 90 degree to the circle)

According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".

given (as seen from the diagram)

x, hypotenuse= ?

opposite= 12

adjacent= 35

Applying Pythagoras theorem

\(hyp^2= opp^2+adj^2\\\\hpy=\sqrt{opp^2+adj^2}\)

Substituting our given data and solving for hpy we have

\(hyp=\sqrt{12^2+35^2} \\\\hyp=\sqrt{144+1225}\\\\hyp=\sqrt{1369}\\\\hyp= 37\)

hence x= 37

Answer:

Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11. By contrast, numbers with more than 2 factors are called composite numbers.

A prime number cannot be divided by any other numbers without leaving a remainder. An example of a prime number is 13. |  15 is not an example of a prime number because it can be divided by 5 and 3 as well as by itself and 1.

To work out if a number is prime, you can try to divide the number by all numbers that are smaller than it. If it can only be evenly divided by 1 and the number itself, then it is a prime number.

For this problem, 0.25 in = 50 m. So

11 in = (11 in) • (50/0.25 m/in) = 2200 m

Alternatively, if 0.25 in = 50 m, that means 1 in = 200 m. So 11 in = 11 (200 m) = 2200 m.

A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.

One possible set could be 3 cm, 4 cm, and 5 cm.

To verify if this set forms a right triangle, we can apply the Pythagorean theorem.

Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.

Adding these two values together gives us 25.

Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.

It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.

There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.

These sets are known as Pythagorean triples.

Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.

In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

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Answer:

7/12

Step-by-step explanation:

The first step is converting the mixed fractions to improper fractions (meaning there will be more in the numerator than denominator). So:

2 & 1/3 is equal to 6/3 + 1/3 = 7/3, since we take the whole number and multiply it by the denominator, then put it over the denominator. Another way of looking at this is what divided by the denominator (3) will get us 2, which, in this case, is 3. Then 1 & 3/4 is 4/4 + 3/4 = 7/4.

The next step is: when subtracting fractions, the denominators must always be the same. So you must set the denominators of 7/3 & 7/4 to be the same, by finding the least common denominator. In this case, it is 12, since 4 & 3 can both be multiplied to get 12.

\(\frac{7}{3} * \frac{4}{4} = \frac{28}{12}\)

and

\(\frac{7}{4} * \frac{3}{3} = \frac{21}{12}\)

Then, you take the difference between these two fractions:

\(\frac{28}{12} - \frac{21}{12} = \frac{7}{12}\)

So, your final answer is 7/12.

Hopefully this helped you understand the topic better, sorry if my explanation is a little confusing. Good luck in your studies & have a wonderful day!

Answer:

4

Step-by-step explanation:

Answer:

0.77

Step-by-step explanation:

Original equation: 22x-2=15

Add 2 to both sides: 22x=17

Divide by 22 on both sides: x=17/22, or 0.77

Let me know if this helps!

Answer:18a+42b+6

Step-by-step explanation: subtract 36a from 18a