Write five rational numbers between :-
1) -1/5 and 1/5
2)1/10 and 3/10
3)2/7 and 3/5

Answer:

$8.55 per lunch box

Step-by-step explanation:

Because the boxed lunches all cost the same, we can take the total ($247.95) and divide it between the 29 lunches equally.

\(247.95 \div 29 = 8.55\)

(a) The mean of X, the number of adults who believe that the overall state of moral values is poor, can be calculated using the formula for the mean of a binomial distribution. In this case, the probability of an adult believing that the overall state of moral values is poor is given as 0.62. So, the mean is calculated as follows:

Mean (μ) = n * p

where n is the number of trials (100 adults) and p is the probability of success (0.62).

μ = 100 * 0.62 = 62

The mean of X is 62.

The standard deviation of X can be calculated using the formula for the standard deviation of a binomial distribution:

Standard deviation (σ) = √(n * p * (1 - p))

σ = √(100 * 0.62 * (1 - 0.62)) ≈ 4.15

The standard deviation of X is approximately 4.15.

(b) The correct interpretation of the mean is C.

For every 100 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. In this case, the mean of 62 indicates that, on average, out of every 100 adults surveyed, approximately 62 of them would be expected to believe that the overall state of moral values is poor.

(c) To determine whether it would be unusual for 66 of the 100 adults surveyed to believe that the overall state of moral values is poor, we need to consider the concept of unusual or statistically significant values.

Since we know the mean (62) and standard deviation (approximately 4.15) of the distribution, we can calculate the z-score for 66 using the formula:

z = (x - μ) / σ

where x is the observed value (66), μ is the mean (62), and σ is the standard deviation (approximately 4.15).

z = (66 - 62) / 4.15 ≈ 0.964

Next, we can compare the calculated z-score to the standard normal distribution to determine if it is considered unusual. Assuming a significance level of 0.05 (commonly used), we look up the z-score in the standard normal distribution table or use a statistical calculator.

The z-score of 0.964 corresponds to a p-value of approximately 0.166, which is greater than 0.05. Therefore, it would not be considered unusual if 66 of the 100 adults surveyed believed that the overall state of moral values is poor.

In summary:

The mean of X, the number of adults who believe that the overall state of moral values is poor, is 62. The standard deviation is approximately 4.15.

For every 100 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. In this case, 62 adults, on average, would be expected to believe so.

C. It would not be considered unusual if 66 of the 100 adults surveyed believed that the overall state of moral values is poor, as the calculated z-score of 0.964 corresponds to a p-value greater than 0.05.

For more questions like Standard deviation click the link below:

https://brainly.com/question/23907081

#SPJ11

Therefore, the probable error of a single measurement is 0.138 meters, while the probable error of the mean is 0.109 meters.

Given the following values that were determined in a series of tape measurements of a line:920.58, 920.40+920.38+920.48+920.40+920.46 meters, we are to determine the probable error of a single measurement and probable error of the mean.

Probable error of a single measurement

This can be gotten by using the formula:

Probable error of a single measurement= 0.6745 x (range of series)/√n

Range = Largest Value - Smallest Value

= 920.58 - 920.38

= 0.20m (to 2 decimal places)And n = 6

Probable error of a single measurement= 0.6745 x 0.20/√6≈ 0.138m (Answer to 3 decimal places)

Probable error of the mean

This can be gotten by using the formula:

Probable error of the mean = 0.6745 x (range of mean series)/√n

Mean of the series = (920.40+920.38+920.48+920.40+920.46)/6

= 920.44m (to 2 decimal places)And n = 6

Also, Range of the mean series = Largest mean value - Smallest mean value

= 920.48 - 920.38

= 0.10m (to 2 decimal places)

Probable error of the mean = 0.6745 x 0.10/√6≈ 0.109m (Answer to 3 decimal places)

To know more about series visit:

https://brainly.com/question/12707471

#SPJ11

Answer:

\(Expression = x + 150 +(- 26)\)

$124 higher

Step-by-step explanation:

Given

\(Deposit = \$150\)

\(Withdrawal = \$26\)

Required

Represent the situation

Determine how much higher or lower is the remaining amount

Let the initial amount in his account be represented with x

When he deposited, the balance becomes

\(Balance = x + 150\)

When he withdrew, the balance becomes

\(Balance = x + 150 + (-26)\)

Hence, the algebraic expression is

\(Expression = x + 150 +(- 26)\)

Calculating how much higher or lower

\(Balance = x + 150 + (-26)\)

Open bracket

\(Balance = x + 150 -26\)

\(Balance = x + 124\)

Recall that the initial amount in the account is x

The difference between the balance and the x is as follows

\(Difference = x + 124 - x\)

\(Difference = \$124\)

Hence, the account has a higher of $124 after both transactions

Answer:

If the third side is x, then

The perimeter is 5+19+x.

But every side must be less than the sum of the other

    two sides, so x < 5+19

                  x < 24

Adding 5+19 to both sides to make the left side

equal to the perimeter

 perimeter = x+5+19 < 24+5+19 = 48

So 48 is the smallest whole number that is larger than the

perimeter of any triangle with a side length of 5 and a side

length of 19.

Step-by-step explanation:

Converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Conversion of units is defined as the conversion of different units of measurement for the same quantity, mostly through multiplicative conversion factors.

From the information given, we are to convert micrometers to square meters

Note that:

1 micrometer ( μm²) = 10^-12m²

Given 1. 50μm² =  xm²

cross multiply

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 50 × 10^-12

x = 1. 5 × 10 ^-11 square meters

Thus, converting 1. 50μm²  to square meters gives 1. 5 × 10 ^-11

Learn more about conversion here:

https://brainly.com/question/16851332

#SPJ1

Given functions f(x) = V1 and g(x) = 16 f 32, we can find f + g, f - g, 3g, and the domain of f + g. The results are: f + g = V1 + 16 f 32, f - g = V1 - 16 f + 32, 3g = 3(16 f 32), and the domain of f + g is the intersection of the domains of f and g.

To find f + g, we simply add the two functions together. In this case, f + g = V1 + 16 f 32.

For f - g, we subtract g from f. Therefore, f - g = V1 - 16 f + 32.

To find 3g, we multiply g by 3. Hence, 3g = 3(16 f 32) = 48 f - 96.

The domain of f + g is determined by the intersection of the domains of f and g. Since the domain of f is the set of all real numbers and the domain of g is also the set of all real numbers, the domain of f + g is also the set of all real numbers. This means that there are no restrictions on the values that x can take for the function f + g.

Learn more about domains here:https://brainly.com/question/13109733

#SPJ11

Answer:

supplementary, complementary, acute 45, supplementary, x=10

Step-by-step explanation:

The length in centimeters of the side of the square is 8 cm.

The area of a rectangle and a square are -

A{R} = Length x Breadth

A{S} = Side x Side

Given is that a square and a rectangle have the same area. The length of the rectangle is 32 cm and the width of the rectangle is 2 cm.

It is given that -

A{R} = A{S}

Length x Breadth = Side x Side

32 x 2 = (Side)²

(Side)² = 64

Side = 8

Therefore, the length in centimeters of the side of the square is 8 cm.

To learn more about area of a rectangle refer to:

https://brainly.com/question/2607596

#SPJ1

Answer:

-20

Step-by-step explanation:

5a - 2b  a=-2 b=5

5(-2)-2(5)

-10-10=-20

Answer:

Step-by-step explanation:

5a - 2b

To find the value of the expression when

a = -2 and b = 5

Substitute the values of a and b into the expression

That's

5(-2) - 2(5)

-10 - 10

-20

We have the final answer as -20

Hope this helps you

Answer: $14.88x + $8.88y

Step-by-step explanation:

x represents adult ticket

y represents child ticket

Value of adult tickets = 14.88 * x

Value of child tickets = 8.88 * y

So the equation is

14.88x + 8.88y

Answer:

Hi

Step-by-step explanation:

According to my calculations, the answer is C.

HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

150 degrees

Step-by-step explanation:

The degrees of a n-sided polygon is given by the expression:

180  (  n  −  2 )

where  n  is the number of sides. As we know that it ahs 12 sides, so

=180  (  12  −  2 )

=180  (  10 )

=1800 i.e. Therefore, there are  1800  degrees in a  12

-gon.

To find the measure of the angles, we know that the sum of all the angles is 1800 degrees, and there are 12 angles. So,

1800/12 = 150

So, the measure of the interior angle of a 12-gon is 150 degrees.

the lot is 90 feet by 110 feet. the fence is to be 6 feet tall. cost for the fence is $3.00 per linear foot, plus $.40 per square foot for labor then the total cost of the fence is 8643 dollar

We have to sum the three distances to get the perimeter.

P= 90 ft + 110 ft+ 6 ft

P = 201 ft

And each foot of material cost $3.00

we get the cost with the distance and de cost of the material:

Cost = 201 ft * 3.00 $ per ft = $603

he needs $603.00 to fence her backyard garden

40 per square labor

then 201*40 = 8040

total = 8040+603= 8643

thus  the total cost of the fence is 8643 dollar

learn more about of cost here

https://brainly.com/question/12930526

#SPJ4

Answer:

  (d)  vertical angles theorem

Step-by-step explanation:

Vertical angles have a common vertex and are formed from opposite rays.

__

Angles RQT and PQS share vertex Q, Rays QR and QP are opposite, creating line RP. Rays QT and QS are opposite, creating line ST. Hence angles RQT and PQS are vertical angles. The vertical angles theorem says those angles are congruent.

Answer:

D.) 68 ft²

Step-by-step explanation:

8×(10-2) + 2×2

8×8 + 4

64 + 4

68 ft²

Answer:

When we have a rational function like:

\(r(x) = \frac{x + 1}{x^2 + 3}\)

The domain will be the set of all real numbers, such that the denominator is different than zero.

So the first step is to find the values of x such that the denominator (x^2 + 3) is equal to zero.

Then we need to solve:

x^2 + 3 = 0

x^2 = -3

x = √(-3)

This is the square root of a negative number, then this is a complex number.

This means that there is no real number such that x^2 + 3 is equal to zero, then if x can only be a real number, we will never have the denominator equal to zero, so the domain will be the set of all real numbers.

D: x ∈ R.

b) we want to find two different numbers x such that:

r(x) = 1/4

Then we need to solve:

\(\frac{1}{4} = \frac{x + 1}{x^2 + 3}\)

We can multiply both sides by (x^2 + 3)

\(\frac{1}{4}*(x^2 + 3) = \frac{x + 1}{x^2 + 3}*(x^2 + 3)\)

\(\frac{x^2 + 3}{4} = x + 1\)

Now we can multiply both sides by 4:

\(\frac{x^2 + 3}{4}*4 = (x + 1)*4\)

\(x^2 + 3 = 4*x + 4\)

Now we only need to solve the quadratic equation:

x^2 + 3 - 4*x - 4 = 0

x^2 - 4*x - 1 = 0

We can use the Bhaskara's formula to solve this, remember that for an equation like:

a*x^2 + b*x + c = 0

the solutions are:

\(x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}\)

here we have:

a = 1

b = -4

c = -1

Then in this case the solutions are:

\(x = \frac{-(-4) +- \sqrt{(-4)^2 - 4*1*(-1)} }{2*(1)} = \frac{4 +- 4.47}{2}\)

x = (4 + 4.47)/2 = 4.235

x = (4 - 4.47)/2 = -0.235

The categorization of each variable according to the group of numbers that best captures its values is shown below:

Any integer from 0 to n.

Any number from 0 to h.

To know more about variable, refer to the following link:

https://brainly.com/question/2264120

#SPJ4

Answer:

Here is a graph of how this would look for you

Fitness mania is cheaper as $200 < $240

Answer:

The balance after 6 years, assuming the deposit of 5000 earns 4% interest compounded yearly, would be 7400. This is calculated by using the formula A=P(1+r/n)^nt, where A is the balance, P is the principal (5000), r is the interest rate (0.04), n is the number of times the interest is compounded per year (1), and t is the number of years (6).

Answer:

0.5 -13

Step-by-step explanation:

chsbvevrwbvbwvdfhvsbvbrbvehbrrfbbgnjhnjbggfngjnjnjnhgnj

Answer:

is c or d i think

Answer:

 . .

Step-by-step explanation:;

Answer:

t = 15

Step-by-step explanation:

\( = > \frac{t}{3} = \frac{5}{1} \)

On cross multiplication,

\( = > t \times 1 = 5 \times 3 \\ = > t = 15\)

Hope you've understood the solution.

Answer:

Step-by-step explanation:

In proportions, you need to isolate t on one side of the equation.

Given:

\(\sf{\dfrac{t}{3}=\dfrac{5}{1} }\)

\(\Longrightarrow: \sf{\dfrac{t}{3}=5}\)

First, multiply by 3 from both sides.

\(\sf{\dfrac{3t}{3}=5*3}\)

Solve.

Multiply the numbers from left to right.

5*3=15

Solutions:

\(\Longrightarrow: \boxed{\sf{t=15}}\)

I hope this helps. Let me know if you have any questions.

When doing transformations and shipments to absolute value functions is:

When adding or subtracting to the complete function moves up or down, in this case, k is the one that allows this shift

When adding or subtracting to the absolute value part of the function, the function moves left or right, in this case, h is the one that allows this shift.

The vertex for the general form of an absolute value function is (h,k)

The way to flip a function upside-sown is to multiply the absolute value portion by a negative coefficient "a".

Answer:

The expression that is not correct is:

The vertex for the function is (k,h)

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

For more such information on: significant figures

https://brainly.com/question/30169

#SPJ8

Answer:

\(-x^1} \\\\\\Hope that helps!\)

Step-by-step explanation: