i'll mark brainliest​

Answer:

1.5

Step-by-step explanation:

of means multiplied by.

Therefore, 1/4×6

=6/4

=1.5

Answer:

6n

Step-by-step explanation:

product means multiply so 6xn = 6n

For the given data, the range, variance, and standard deviation is 1.47, 0.1716, and 0.414, respectively.

To find the range, subtract the minimum value from the maximum value in the set of data. The minimum value is 0.48 and the maximum value is 1.95, so the range is: 1.95 - 0.48 = 1.47.

To find the sample variance, follow these steps.

1. Calculate the mean of the data set.

2. Subtract the mean from each value in the data set.

3. Take the summation of the squares of the result.

4. Divide the sample size minus 1.

Upon calculation, the sample variance is 0.1716.

Lastly, to find the sample standard deviation, take the square root of the sample variance: √0.1716. = 0.414.

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Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​.

Here, we have,

given that,

the LHS is:

sin⁴x-cos⁴x/ sin²x-cos²x

now, we know that,

sin²x+cos²x = 1

and, we know that,

a² - b² = (a+b) (a-b)

so, we get,

sin⁴x-cos⁴x/ sin²x-cos²x

= (sin²x+cos²x) (sin²x-cos²x ) / sin²x-cos²x

=(sin²x+cos²x)

=1

= RHS

Hence, Proved that, sin⁴x-cos⁴x/ sin²x-cos²x = 1​

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A specific X-value for the solution ,-4 is not equal to -3/2.

The x-value of the solution to the system of equations, we need to solve the given equation and the line represented by the data in the table. Let's begin by examining the first equation, 2x + 4y = 0.

We can rewrite this equation in terms of y:

4y = -2x

y = (-2/4)x

y = (-1/2)x

Now, let's use the data from the table to create a system of equations:

For the first data point (-1, 8):

y = (-1/2)x

8 = (-1/2)(-1)

8 = 1/2

Since 8 is not equal to 1/2, the first data point does not satisfy the equation.

For the second data point (3, -4):

y = (-1/2)x

-4 = (-1/2)(3)

-4 = -3/2

Again, -4 is not equal to -3/2, so the second data point does not satisfy the equation.

We can continue this process for the remaining data points, but from the information given, it seems that none of the data points satisfy the equation. Therefore, there is no solution to the system of equations.

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Answer:

The value of a and b is given. All u hv to do is just place the values in the places of a and b. The value of a= 3.1 and b= 7.3.

5i) a+b

     3.1+7.3

     =10.4

ii) b-a

   7.3-3.1

    =4.2

5 and 6 are both similar. Just place the numbers instead of the letters

6i) x+y

    5+7

    =12

ii) y-x

   7-5

   =2

iii) x/y

    5/7

    =0.714

There u go :D

Answer:

-----------------------------

Each number from 1 to 10 has same probability of 1/10.

So we have 1/10 for an '8' and 1/10 for a '9'.

The probability of either '8' or '9' is the sum of the two probabilities:

The time taken to fill a 275-gallon hot​ tub is 69 minutes.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A hose fills a hot tub at a rate of 3.99 gallons per minute.

This means,

3.99 gallons = 1 minute

Multiply 275/3.99 on both sides.

275 gallons = 275/3.99 x 1 minute

275 gallons = 69 minutes

Thus,

It will take 69 minutes to fill a 275-gallon hot​ tub

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Answer:

the number --4

Step-by-step explanation:

-7--4=-3

-3--4=1

1--4=5

5--4=9

Answer:

True, there you go! hope it helps! Please vote Brainliest!

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

To simplify an expression means to ensure there are no parentheses and no like terms.

The area, in square inches of the Tile is (A) (9/4)t

From the information illustrated, the tile, is 3/4 as long and 3 times as wide as her kitchen tiles.

Therefore, the length = 3/4t

The width = 3 × t = 3t

In this case, it's important to note that the area is calculated as the multiplication of the length that is given and the width.

This will be:

Area = Length × Width

Area = 3/4t × 3t

Area = 9/4t inches²

Therefore, the correct option is A.

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Answer:

153,720

Step-by-step explanation:

The price of the new home is 126,000

It appreciates by 2%

Therefore the price after 10 years can be calculated as follows

= 126,000 × 1.02^10

= 126,000 × 1.22

= 153,720

Hence after 10 y,ears the price of the house is 153,720

Answer:

a

The 95% confidence interval is   \(0.5753<  p <0.62474\)  

b

 This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval

c

 The margin of error is   \(E =    0.02474 \)  

d

 The confidence interval becomes wider

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 1506

    The sample proportion is  \(\^ p = 0.60\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the margin of error is mathematically represented as  

     \(E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)

=>   \(E =    1.96 * \sqrt{\frac{0.60 (1- 0.60)}{1506} } \)    

=>   \(E =    0.02474 \)  

Generally 95% confidence interval is mathematically represented as  

      \(\^ p -E <  p <  \^ p +E\)

=>   \(0.60 - 0.02474 <  p <0.60 + 0.02474\)  

=>   \(0.5753<  p <0.62474\)  

This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval

Generally the level of confidence varies directly with the critical value of \(\frac{\alpha }{2}\) and this in turn varies directly with the margin of error which when sample proportion is constant it determines the width of the confidence interval so when the level of confidence increases the confidence interval becomes wider  

Answer:

2, 5, and 7.

Step-by-step explanation:

Notice that f(x) is a rational function. In general, a rational function is defined for all values of the variable except for those that make the denominator equal to zero.

In our case,

Suppose that the denominator is equal to zero; then,

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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By placing the given value in equation , we get u + v - 4u = (-20, 13)

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:

4u = 4(5,-2) = (20,-8)

Now, we can add u and v, and subtract 4u from the result:

u + v - 4u = (5,-2) + (-5,7) - (20,-8)

= (5 - 5 - 20, -2 + 7 + 8)

= (-20, 13)

Therefore, u + v - 4u = (-20, 13).

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Answer: 2000m/h

Step-by-step explanation:

speed = distance/time

milas distance was (2/3).(750 m) = 500 m, so her speed was (500 m)/(1/4) = 2000 m/h

The probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

To find the probability that a single randomly selected value is between 189.7 and 213, we can use the standard normal distribution.

Step 1: Calculate the z-scores for the given values using the formula:

  z = (x - μ) / σ

  For 189.7:

  z1 = (189.7 - 189.7) / 96.7 = 0

  For 213:

  z2 = (213 - 189.7) / 96.7 ≈ 0.2417

Step 2: Utilize a standard typical conveyance table or number cruncher to find the probabilities comparing to the z-scores.

  P(189.7 < X < 213) = P(0 < Z < 0.2417) ≈ 0.0939

Therefore, the probability that a single randomly selected value is between 189.7 and 213 is approximately 0.0939.

To find the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213, we use the central limit theorem. Under specific circumstances, the testing dispersion of the example mean methodologies a typical conveyance

Step 1: Calculate the standard error of the mean (σ_m) using the formula:

  σ_m = σ / sqrt(n)

  σ_m = 96.7 / sqrt(62) ≈ 12.2878

Step 2: Convert the given qualities to z-scores utilizing the equation:

  z = (x - μ) / σ_m

  For 189.7:

  z1 = (189.7 - 189.7) / 12.2878 = 0

  For 213:

  z2 = (213 - 189.7) / 12.2878 ≈ 1.8967

Step 3: Utilize a standard typical conveyance table or mini-computer to find the probabilities relating to the z-scores.

  P(189.7 < M < 213) = P(0 < Z < 1.8967) ≈ 0.9702

Therefore, the probability that a sample of size n = 62 is randomly selected with a mean between 189.7 and 213 is approximately 0.9702.

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The answer as a result of the numerical expression above is B) 1/36

This expression is rank number:

\(( {6}^{ - 4} ) {}^{ \frac{1}{2} } = 6 {}^{ - 2} = \frac{1}{ {6}^{2} } = \frac{1}{36}.

So the answer as a result of the numerical expression above is 1/36.

From these calculations it can be seen that the rank between what is inside the brackets and what is outside it can be multiplied.

In the question above the power of -4 multiplied by the power of ½ ( (-4×½) the result is -2.

So all that's left is 6⁻². Another form of 6⁻² is 1/6² or 1/36.

This refers to the exponential rule in mathematics, namely a⁻ⁿ can be written as 1/aⁿ.

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Answer:

Remi bought 3 notebooks

Step-by-step explanation:

Let n = number of notebooks.

2 pencils cost 2 * £0.24 = £0.48

3 pens cost 3 * £0.37 = £1.11

3 sharpeners cost 3 * £0.77 = £2.31

n notebooks cost n * £1.40 = £1.4n

The total cost is £9 - £0.90 = £8.1

0.48 + 1.11 + 2.31 + 1.4n = 8.1

1.4n + 3.9 = 8.1

1.4n = 4.2

n = 3

Answer: Remi bought 3 notebooks.

The number of notebooks Remi would need to buy is 2.

Let's solve this problem step by step.

First, let's calculate the total cost of the items Remi bought.

The cost of 2 pencils would be 2 * £0.24 = £0.48.

The cost of 3 pens would be 3 * £0.37 = £1.11.

The cost of 3 sharpeners would be 3 * £0.77 = £2.31.

Let's assume the number of notebooks Remi bought is 'x'.

The cost of 'x' notebooks would be x * £1.40 = £1.40x.

So, the total cost of all the items would be:

£0.48 + £1.11 + £2.31 + £1.40x = £0.48 + £1.11 + £2.31 + £1.40x = £4.90 + £1.40x.

According to the given information, Remi paid with £9 and received 90p change.

Therefore, we can set up the equation:

£9 - £4.90 - £1.40x = 90p.

To simplify the equation, we need to convert 90p to pounds. Since £1 = 100p, 90p = 90/100 = £0.90.

Now, let's solve the equation:

£9 - £4.90 - £1.40x = £0.90.

Combining like terms, we get:

£4.10 - £1.40x = £0.90.

Now, let's isolate the 'x' term:

£4.10 = £0.90 + £1.40x.

Subtracting £0.90 from both sides, we get:

£3.20 = £1.40x.

Now, let's isolate 'x':

x = £3.20 / £1.40.

x ≈ 2.29.

Since we can't have a fraction of a notebook, we need to round the value to the nearest whole number.

So, Remi bought approximately 2 notebooks.

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The process of associating numbers with physical quantities and phenomena. Measurement is used in our day-to-day life

Nominal: A level of measurement describing a variable that has attributes that are merely different, as distinguished from ordinal, interval, or ratio measures.

Gender is an example.

Ordinal: A level of measurement describing a variable with attributes we can rank-order along some dimension.

An example is socioeconomic status as composed of the attributes high, medium, and low.

Interval: A level of measurement describing a variable whose attributes are rank-ordered and have equal distances between adjacent attributes. There is however, no "true" zero point. Like the difference in temperature. An example will be the measuring temperature.

Ratio: A level of measurement describing a variable with attributes that have all the qualities of nominal, ordinal, and interval measures and in addition are based on a true zero point. An example will be Number of children you have, makes sense to have a zero

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Answer:

(x² + 7x + 6) ÷ (x² + 2x + 1)

This should be in the form of a fraction, I just don't know how to format it that way on here.

Step-by-step explanation:

Since your denominators are equal on both fractions, you just need to subtract your numerators.

3x² + 9x + 12 - (2x² + 2x + 6)

When there is a - in front of an expression in parenthesis, you should change the sign of each term in the expression of the numerator being subtracted.

So this:

2x² + 2x + 6

Will become this:

2x² - 2x - 6

This is how it will look:

3x² + 9x + 12 - 2x² - 2x - 6

Now all you have to do is collect the like terms.

3x² and -2x² are like terms so you will add them together: 3x² + (-2x²) = 3x² - 2x² = x²

This is how your numerator should look so far:

x² + 9x + 12 - 2x - 6

Now we move on to the next like terms.

9x and -2x are like terms so we add them together: 9x + (-2x) = 9x - 2x = 7x

This is how your numerator should look so far:

x² + 7x + 12 - 6

Now we move on to the last set of like terms.

12 and -6 are like terms so we add them together: 12 + (-6) = 12 - 6 = 6

This is how your numerator should be now:

x² + 7x + 6

Now all you have to do is put your numerator on top of your denominator which is the same as in the start of your equation (x² + 2x + 1).

You are done! I hope this was clear and you understand :)

Answer:12

Step-by-step explanation:I did the math

The meaning of the parameters of the sine function are given as follows:

The standard definition of the sine function is given as follows:

y = Asin(B(x - C)) + D.

For which the parameters are given as follows:

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5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².

Firstly, we will calculate the area of the square of paper in which the holes are punched.

Side of square = 12 cm

Area of square = side²

= (12) ²

= 144 cm²

Now, we will calculate the area of the bigger punch holes

Radius of big punch hole = 3 cm

Area of 1 big punch = π (radius) ²

= 22/7 × (3)²

22 / 7 × 9

= 198 / 7 cm²

Area of 4 punches = 4 × 198/7

= 792/7 cm²

Now, we will calculate the area of smaller punch whose radius is 1cm

Area = 22/7 × 1²

= 22/7 cm²

Now, we will calculate the total area covered by circles

Total area covered by circles = area of small punch + area of 4 big punch

= 22/7 + 792/7

= 814 /7 cm²

Remaining area = area of square - area of circles

= 144 - 814/7

= (1008 - 814) / 7

= 194 / 7

= 27.714 cm²

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The third angles in the given cases are:a) 68°b) 79°c) 106°d) 120°e) 64°.

To calculate the third angle of a triangle in which two of the angles are given, we need to use the fact that the sum of all the angles of a triangle is always 180°. Let's use this fact to solve each case given:a) Two angles are given as 47° and 65°. To find the third angle, we subtract the sum of the given angles from 180°.

That is, third angle = 180° - (47° + 65°) = 68°.b) Two angles are given as 24° and 77°. Similar to the previous case, the third angle = 180° - (24° + 77°) = 79°.c) Two angles are given as 56° and 18°. The third angle = 180° - (56° + 18°) = 106°.

d) Two angles are given as 39° and 21°. The third angle = 180° - (39° + 21°) = 120°.e) Each of the two angles is given as 58°. To find the third angle, we subtract twice the value of one of the given angles from 180°. That is, third angle = 180° - (2 × 58°) = 64°.

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Answer:

$24.50

Step-by-step explanation:

$35 - 30% = $24.50.

Thus, that is the answer.

Hope this helps!

Answer- $24.50

$35 - 30% is $24.50.

Gorgi saved $10.50 as well.

Hope this helps!