4. Solve. What is 3/5 of 15?_ What is 2/3 of 18? . What is 3/4 of 16?​

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

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Answer:

A plane flying horizontally at an altitude of 1 mi. and a speed of 500 mi ./hr. passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing ex when it is 2 mi. away

Answer: 54 teaspoons of oregano

Step-by-step explanation: 1 can is 6 teaspoons so 9 cans would be 54 teaspoons because 9 x 6 = 54.

Hope this helps!

Answer:

B) No solution

Step-by-step explanation:

Adding two numbers together for a signle result cannot result in two different numbers. Example.

-2 + 3 = 1

-2 + 3 ≠ 4

You can also use math. Using substitution will result in simplyfying -y and y, creating 0 with no variable to solve for.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The decimal - 2. 97 is the solution to the subtraction problem of D.  - 6. 1  - ( - 3. 13 ).

When subtracting decimal numbers, the effective method is to align their decimal points and begin removing each corresponding digit from one another. You may extend any decimals with fewer digits by appending zeros on the right-hand side as required for parity.

= - 6. 1  - ( -3. 13 )

= - 6. 1  + 3. 13

= - 2. 97

The decimal 2.97 is the solution to the subtraction problem - 6. 61 - (- 3. 13).

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Answer:

3/8

Step-by-step explanation:

4/8 = 1/2

Subtract the amount her son ate (1/2 or 4/8) from the total amount and you get 3/8.

The total of the even and odd positions digits yields 82, which does not terminate with 0 and is therefore not a UPC number.

A UPC is examined in the manner described below: Add up the values in the first, third, fifth, seventh, ninth, and eleventh positions. The average of the digits mostly in places of 2, 4, 6, 8, 10, and 12 should be added to this. The code will be recognised by the computer as valid if the outcome is a multi of 10. Every version of your offering will often require its own UPC. Each distinct colour or pattern of your product, if it has either, will require a UPC. Each size of your product will require a UPC if it comes in various sizes. The same is true for various packing and setups.

given

0-52200-48826-5

= 3( 0+ 2+0+4+8+6)+ ( 5+2+0+8+2+5)

= 3(20)+ 22 = 60+22

= 82

hence it is not UPC number as it ends by 2

The total of the even and odd positions digits yields 82, which does not terminate with 0 and is therefore not a UPC number.

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The required rule of function for the given statement be F(x) = $ 19x

What is the function rule for the given statement?

Amount of charges per ticket                    =  $12

Amount of online reservation per order  = $7

The total amount of one ticket

=  $12 + $7

= $19 = f(1) say.

Now the total amount for x tickets be

F(x) = $ 19x

This is the required rule of function for the given statement.

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Answer:

2.75

Step-by-step explanation:

21.50 - 18.75 = $2.75

CAN I HAVe BRAINLIEST

Let x be the cost of Jumbo popcorn and let y be the cost of chocolate chip

x + 2y = 5

x + 4y = 6

Subtract equation first equation from the second equation

2y = 1

Divide both-side of the equation by 2

y = 1/2

y = 0.5

substitute 0.5 into the first equation and solve for x

x + 2(0.5) = 5

x + 1 = 5

subtract 1 from both-side of the equation

x = 5 - 1

x = 4

Therefore each Jumbo popcorn costs $4 and each chocolate chip costs $0.5

Answer: 630

Step-by-step explanation:

\(3000 * 21 /100 = 3000 * 0.21 = 630\)

Answer: The number of scores represented in the blue section of the boxplot is 12.

Answer:

540

Step-by-step explanation:

you can draw  5 triangles from the center...

5*180-360 = 540

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

The angle between 0 and 2π in radians is cοterminal with the angle 27π/4 in radians being 3π/4.

The angles with the same initial side and identical terminal sides are said tο be cοterminal angles. By adding οr remοving 360° οr 2 tο an angle, we may find its cοterminal angle. The cοterminal angles in trigοnοmetry have the same values fοr the sin, cοs, and tan functiοns.

Here, we have

Cοterminal with the angle 27π/4  in radians

Tο find a cοterminal angle, add οr subtract any multiple οf 2π

 27π/4 - 2π = 19π/4

19π/4 - 2π = 11π/4

11π/4 - 2π = 3π/4

Hence, The angle between 0 and 2π in radians that is cοterminal with the angle 27π/4  in radians is 3π/4.

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Answer:

E(X) = 38.9346

Var(X) = 25.588

E(Y) = 38.25

Var(Y) = 26.1875

Step-by-step explanation:

Given - Four buses carrying 153 high school students arrive to Montreal. The buses carry, respectively, 36, 46, 32, and 39 students. One of the students is randomly selected.One of the 4 bus drivers is also randomly selected.

To find - Compute the expectations and variances of X and Y.

Proof -

Let us assume that,

X be The number of students that were on the bus carrying this randomly selected student.

Y denote the number of students on his bus.

Now,

E(X) =  \(\frac{36(36) + 46(46) + 32(32) + 39(39)}{153}\)

       = \(\frac{5957}{153}\)

       = 38.9346

⇒E(X) = 38.9346

Now,

E(Y) = \(\frac{36 + 46 + 32 + 39}{4}\)

      =  \(\frac{153}{4}\)

      = 38.25

⇒E(Y) = 38.25

Now,

Var(X) = \(\frac{36(36 - 38.9346)^{2} + 46(46 - 38.9346)^{2} + 32(32 - 38.9346)^{2} + 39(39 - 38.9346)^{2}}{153}\)

          = \(\frac{310.0276 + 2296.3144 + 1308.5091 + 0.1668}{153}\)

          = \(\frac{3915.0179}{153}\)

          = 25.588

⇒Var(X) = 25.588

Now,

Var(Y) = E(Y²) - [E(Y)]²

          = \(\frac{36^{2} + 46^{2} + 32^{2} + 39^{2} }{4} - (38.25)^{2}\)

          = \(\frac{5957}{4} - 1463.0625\)

          = 1489.25 - 1463.0625

          = 26.1875

⇒Var(Y) = 26.1875

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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Answer:

15

Step-by-step explanation:

225 is 15 squared so -225 is 15*(-15) Since there already is a -15, the answer is 15.

The correct solution of the expression is, x = 15

Hence, Option C is true.

We have to given that,

An expression to simplify,

⇒ - 225 = - 15x

Now, Simplify the expression and solve for x as,

⇒ - 225 = - 15x

⇒ - 15x = - 225

Divide both side by - 15,

⇒ - 15x/- 15 = - 225/- 15

⇒ x = 15

Therefore, The solution is, x = 15

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Complete question is,

What is the value of the expression -225=(-15)x ?

A. -25

B. -15

C. 15

D. 25

Answer:

14.62

Step-by-step explanation:

Answer:

14.62

Step-by-step explanation:

23.40

-   8.78

________

 1 4  .6 2

For you to answer you need to place the commas correctly. The commas must be below each other to help you place the other numebrs correctly vertically. And after that you subtract and remember borrowing :)

HOPE IT HELPED

Answer:

There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $4 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?

Step-by-step explanation:

The correct situation is the third one, this is because the expression we have is:

\(30+4x=70+2x\)

let's take the left side as the charge of the company limo A, and the left side as the charge of limo B.

Since 'x' is the number of people, the left side tells us that limo A charges $4 per person (hence the 4x) and adds an additional $30 (hence the 30 added on the left side).

And the right side tells us that limo B charges $2 per person (hence the 2x) and adds an additional $70 (hence the 70 added on the right side).

And since we have an equal sign this means that the expression represents the number of people that can ride and will pay an equal amount in each company.

This is the situation that the third option describes:

There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 plus $4 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?

Answer: A

Step-by-step explanation:

Volume= LxWxH so we get 20x28x24 as given.

Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.

13,440-10,500= 2,940 Cubic Inches

Option A

Answer:

Part A:  13440 cubic inches.

Part B: A - 2940 cubic inches.

Step-by-step explanation:

The volume of the box = 24x20x28 = 13440 cubic inches.

The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.

13440-10500 = 2940 cubic inches. The answer is A.

An expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes is (0.55 + (n - 5) x 0.07) dollars.

Given:

Long Distance Rates Time (minutes) Cost5 $0.556 $0.627 $0.698 $0.769 $0.8310 $0.90We need to find an expression that can be used to find the cost of an n-minute long-distance call, where n is at least 5 minutes.

The cost of making a long-distance call is given for 5 minutes, 6 minutes, 7 minutes, 8 minutes, 9 minutes, and 10 minutes.

We can observe from the above table that for every increase of 1 minute, the cost increases by $0.07.

We can conclude that the cost of n minutes long-distance call is given by: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes.

Therefore, the required expression is: (0.55 + (n - 5) x 0.07) dollars when n is at least 5 minutes. The above expression is based on the pattern in the table provided for long-distance call rates. We can use this expression for values of n greater than or equal to 5.

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Answer:

option C is correct answer ..

Step-by-step explanation:

angle A + angle B + angle C = 180° ( by angle sum property of triangle )

3x + 4x-19+ 3x -1 = 180

10x + -20 = 180

10x = 180 +20 = 200

x = 200/10 = 20 °

angle A = 3× 20 = 60 °

angle B = 4× 20 - 1 9 = 61 °

angle C = 3× 20 -1 = 59 °

angle B is greatest so side opposite to it will be greatest in length ....so length of AC is greatest ....

so option C is the correct answer of this question ...

plz mark my answer as brainlist plzzzz vote me also as I have done this question by taking a lot of time Hope it will be helpful for you ....

To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:

Monthly basic salary: Rs 48,000

Social security tax rate: 1%

Income tax rate on income up to Rs 5,00,000: 0% (no tax)

Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%

Dashain allowance: 1 month's salary

Deposit in Citizen Investment Trust (CIT): 10%

Rebate on income tax: 10%

(i) Annual Income:

Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:

Annual Basic Salary = Monthly Basic Salary x 12

= Rs 48,000 x 12

= Rs 5,76,000

Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:

Annual Income = Annual Basic Salary + Dashain Allowance

= Rs 5,76,000 + Rs 48,000

= Rs 6,24,000

Swornima's annual income is Rs 6,24,000.

(ii) Tax Rebate:

Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.

(iii) Annual Income Tax:

First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.

Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000

= Rs 1,24,000

Income Tax in this range = Taxable Income x Tax Rate

= Rs 1,24,000 x 0.1

= Rs 12,400

Now, let's calculate the total annual income tax:

Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000

= Rs 12,400

Next, we calculate the rebate on income tax:

Tax Rebate = Total Annual Income Tax x Rebate Rate

= Rs 12,400 x 0.1

= Rs 1,240

Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.

To summarize:

(i) Swornima's annual income is Rs 6,24,000.

(ii) Swornima's tax rebate is Rs 1,240.

(iii) Swornima should pay an annual income tax of R

Therefore, x³ must be even. Therefore, if -z is irrational, then z must also be irrational.

In mathematics, an integer is a whole number that can be either positive, negative, or zero. It can be written without a fractional or decimal component. Some examples of integers are -3, -2, -1, 0, 1, 2, 3. Integers are used in many different areas of mathematics, including number theory, algebra, and geometry. They are a fundamental concept in mathematics and have many important properties, such as the ability to add, subtract, and multiply them.

Here,

Proof of "x³ is even if and only if x is even":

First, assume that x is even. Then x can be written as x = 2k for some integer k. Substituting this into x³, we get:

x³ = (2k)³ = 8k³ = 2(4k³)

Since 4k³ is an integer, this shows that x³ is even.

Now, assume that x³ is even. This means that x³ is divisible by 2. We can write x³ as x³ = 2m for some integer m. Taking the cube root of both sides, we get:

x = (2m)*(1/3)

If x is an integer, then (2m)*(1/3) must also be an integer. However, the only way for the cube root of an even number to be an integer is if the original number is even. Therefore, x must be even.

Proof of "z is irrational if and only if -z is irrational":

First, assume that z is irrational. By definition, this means that z cannot be expressed as the ratio of two integers. Now suppose that -z is rational. This means that -z can be expressed as the ratio of two integers, say -z = p/q, where p and q are integers and q is not equal to 0. Multiplying both sides of the equation by -1, we get:

z = -p/q

This shows that z can be expressed as the ratio of two integers, which contradicts our assumption that z is irrational. Therefore, if z is irrational, then -z must also be irrational.

Now, assume that -z is irrational. By definition, this means that -z cannot be expressed as the ratio of two integers. We can rewrite this as z = (-1)(-z), which means that z is the product of -1 and a number that is not the ratio of two integers. Multiplying a number by -1 does not change its irrationality, so z must also be irrational. Therefore, if -z is irrational, then z must also be irrational.

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It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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Complete Question

The complete question is shown on the first uploaded image

Answer:

a

   C

b

    C

c

    C

d  

     A

Step-by-step explanation:

From the question we are told that

    The population mean is  \(\mu = 0.5 \ in\)

Generally the Null hypothesis is  \(H_o : \mu = 0. 5 \ in\)

                The Alternative hypothesis is  \(H_a : \mu \ne 0.5 \ in\)

Considering the parameter given for part a  

       The sample size is  n =  15  

        The  test statistics is  t =  1.66

        The level of significance \(\alpha = 0.05\)

The degree of freedom is evaluated as

            \(df = n- 1\)

           \(df = 15- 1\)

           \(df = 14\)

Using the critical value calculator at (social science statistics web site )  

           \(t_{\frac{\alpha}{2} ,df } = t_{\frac{0.05 }{2} ,14} = 2.145\)

We are making use of this  \(t_{\frac{\alpha }{2} }\) because it is a one-tail test

Looking at the value of  t and \(t_{\frac{\alpha }{2} }\) the we see that  \(t < t_{\frac{\alpha }{2} }\) so the null hypothesis would not be rejected

Considering the parameter given for part b  

       The sample size is  n =  15  

        The  test statistics is  t =  -1.66

        The level of significance \(\alpha = 0.05\)

The degree of freedom is evaluated as

            \(df = n- 1\)

           \(df = 15- 1\)

           \(df = 14\)

Using the critical value calculator at (social science statistics web site )  

           \(t_{\frac{\alpha}{2} ,df } = t_{\frac{0.05 }{2} ,14} = -2.145\)

Looking at the value of  t and \(t_{\frac{\alpha}{2} ,df }\) the we see that t does not lie in the area covered by  \(t_{\frac{\alpha}{2} , df }\) (i.e the area from -2.145 downwards on the normal distribution curve ) hence we fail to reject the null hypothesis

Considering the parameter given for part  c

       The sample size is  n =  26  

        The  test statistics is  t =  -2.55

        The level of significance \(\alpha = 0.01\)

The degree of freedom is evaluated as

            \(df = n- 1\)

           \(df = 26- 1\)

           \(df = 25\)

Using the critical value calculator at (social science statistics web site )  

           \(t_{\frac{\alpha}{2} ,df } = t_{\frac{0.01 }{2} ,25} = 2.787\)

Looking at the value of  t and \(t_{\frac{\alpha }{2} }\) the we see that t does not lie in the area covered by  \(t_{\alpha , df }\) (i.e the area from -2.787 downwards on the normal distribution curve ) hence we fail to reject the null hypothesis

Considering the parameter given for part  d

       The sample size is  n =  26  

        The  test statistics is  t =  -3.95

        The level of significance \(\alpha = 0.01\)

The degree of freedom is evaluated as

            \(df = n- 1\)

           \(df = 26- 1\)

           \(df = 25\)

Using the critical value calculator at (social science statistics web site )  

           \(t_{\frac{\alpha}{2} ,df } = t_{\frac{0.01 }{2} ,25} = -2.787\)

Looking at the value of  t and \(t_{\frac{\alpha}{2} }\) the we see that  t  lies in the area covered by  \(t_{\alpha , df }\) (i.e the area from -2.787 downwards on the normal distribution curve ) hence we  reject the null hypothesis

Answer:

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective.

This means that \(n = 1067, \pi = \frac{74}{1067} = 0.069\)

80% confidence level

So \(\alpha = 0.2\), z is the value of Z that has a pvalue of \(1 - \frac{0.2}{2} = 0.9\), so \(Z = 1.28\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 - 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.059\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 + 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.079\)

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).