Hopefully these steps will help. 1) Pick one of the data sets (It does not matter which one, but you will be using the same one throughout the course) 2) Look ...

Answer:

Sanjay age=16 years; Dhruv age = 40 Years

Step-by-step explanation:

Let Sanjay’s present age be ‘x’, then Dhruv age is x+24

10 years back, Sanjay’s age was (x-10) years and Dhruv’s age

was (x+14)

Given: x+14 =5(x-10)

X=16 years

Sanjay age=16 years; Dhruv age = 40 Years

Answer:

the width is 76 M

Step-by-step explanation:

dont really know how to explain it. did this math in my head.

Answer:

15% increase

Step-by-step explanation:

to find the percent increase from an initial value to a final value, first find the difference:

2070-1800=270

then divide the difference by the initial value:

270/1800= 0.15

and multiply by 100

0.15*100=15

so there is a 15% increase

The z-score value for 93.32% will be negative 1.5. Then the average number of skateboards produced per day last year is 310.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

Last year, the number of skateboards produced by a skateboard company is normally distributed.

The standard deviation of skateboards produced was 20 skateboards.

They found they produced up to 280 skateboards on 93.32% of the days last year.

Then the z-score value for 93.32% will be negative 1.5.

Then we have

   z = (x - μ)/σ

-1.5 = (280 - μ)/20

-30 = 280 - μ

   μ = 280 + 30

   μ = 310

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The distance the water sprays as the sprinkler rotates is 7.34 ft

Since the grassy area is circular, its area is the area of a circle.

So, A = πr² where r = radius of circle = distance sprinkler sprays

Making r subject of the formula, we have

r = √(A/π)

Since A = 172 ft², substituting the values of the variables into the equation, we have

r = √(A/π)

r = √(172 ft²/π)

r = √(172 ft²/3.142)

r = √(54.749 ft²)

r = 7.34 ft

So, the distance the water sprays as the sprinkler rotates is 7.34 ft

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The 90% confidence interval for the population mean number of days it takes to find a job using the website's service is approximately 77.09 to 82.91 days.

To calculate a 90% confidence interval for the population mean number of days it takes to find a job using the website's service, follow these steps:

1. Identify the sample mean (X), sample size (n), and population standard deviation (σ). In this case, X = 80 days, n = 32, and σ = 10 days.

2. Determine the desired confidence level. Here, it's 90%.

3. Find the critical value (z) associated with the 90% confidence level. You can look this up in a standard normal distribution table or use a calculator that provides this functionality. For a 90% confidence interval, the critical value is approximately 1.645.

4. Calculate the standard error (SE) by dividing the population standard deviation (σ) by the square root of the sample size (n). In this case, SE = σ/√n = 10/√32 ≈ 1.77.

5. Multiply the critical value (z) by the standard error (SE) to obtain the margin of error (MOE): MOE = z * SE = 1.645 * 1.77 ≈ 2.91.

6. Calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error (MOE) from the sample mean (X). In this case, the lower bound = 80 - 2.91 ≈ 77.09, and the upper bound = 80 + 2.91 ≈ 82.91.

Thus, the 90% confidence interval for the population mean number of days it takes to find a job using the website's service is approximately 77.09 to 82.91 days.

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Answer: 6 3/7

Step-by-step explanation:

9/1 x 5/7

If we multiply the numerators and denominators, we get 45/7 or 6 3/7 as a mixed number.

Answer:

\(\frac{45}{7}\) or 6.4285

Step-by-step explanation:

First, multiply 9 and 5, which gives you 45.

9(5)=45

Then, divide 45 by 7.

45/7=6.4285

That gives  you  \(\frac{45}{7}\) or 6.4285

Hope this helps!

Answer:

  (X_1, X_2) = (2, 4)

  Z = 110

Step-by-step explanation:

You want a graphical solution to ...

  minimize Z = 15 X_1 +20 X_2

  subject to ...

A graph of the reverse of the inequalities is attached. This makes the feasible solution region be white (rather than shaded multiple times), so its vertices are easier to see. (The dashed lines are part of the solution space.)

The vertex of the solution space that minimized the objective function is (X_1, X_2) = (2, 4). The minimum value of Z is 110.

Answer:

x = 12

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

8 + 6x is an exterior angle of the triangle, thus

8 + 6x = 30 + 4x + 2 = 4x + 32 ( subtract 4x from both sides )

8 + 2x = 32 ( subtract 8 from both sides )

2x = 24 ( divide both sides by 2 )

x = 12

When rolling two dice the possible outcomes are:

Probability is calculated as follows:

There is a total of 6x6 = 36 possible outcomes. From the table, we can see that 5 of them are a 6 and 3 of them are a 10. Then, the number of favorable outcomes is 5 + 3 = 8. Therefore, the probability of winning on your next turn is:

Answer:

0.4

Step-by-step explanation:

consider this like some lines overlapping each other.

one line (A) is 0.5 long, the other (B) 0.4 long.

together they are 0.8 long.

that means that they overlap at a length of 0.1 (they share a segment 0.1 long).

of the combined line of 0.8 that has 0.1 of a joined segment, the complimentary part of B is therefore 0.4 (0.8 minus the original length of B).

Yes, 12 refrigerators and 11 pianos overload the truck, because 12 refrigerators and 11 pianos weighs more than 7100 lb.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, a truck that can carry no more than 7100 lb is being used to transport refrigerators and upright pianos

Let the number of refrigerators be x and the number of pianos be y.

Each refrigerator weighs 250 lb and each piano weighs 425 lb.

Here, 250x+425y≤7100

Will 12 refrigerators and 11 pianos overload the truck

Now, put x=12 and y=11 in the inequality 250x+425y≤7100, we get

250×12+425×11≤7100

7675≤7100 not true

Therefore, the inequality represent the given scenario is 250x+425y≤7100.

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Answer:

the answer is 27 if you have to evaluate

"        "          "  3 cubed if you have to simplify

Step-by-step explanation:

Answer:

Reliability

Step-by-step explanation:

Here, we want to select the option that best completes the given question

The correct answer is the reliability

When we speak of how reliable a type of measurement is, we are simply referring to how free the particular measurement is from random error

Measurements that are free from random error are said to be reliable

Answer:

D) 4b - 2 is the correct answer.

Step-by-step explanation:

2 years less than 4 times his younger sister's age

younger sister's age is b years

4b - 2

Have a nice day! :-)

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Answer:

y = -4x + 12

Step-by-step explanation:

-8x - 2y = -24

Add '2x' to both sides

  -2y = 8x - 24

Divide the entire equation by (-2)

\(\dfrac{-2y}{-2}=\dfrac{8x}{-2}-\dfrac{24}{-2}\\\\\)

y = -4x + 12

As the Percentage decreased, The Number of alligators in 2001 = 438972

What is the Percentage decrease?

A variable's value loss can be measured using the percentage decline formula. The variable might be anything from profit to population to cost. For a better understanding of the idea, the formula for percentage drop is provided below along with solved instances.

∴ Percent Decrease = (Decreased Value / Original Value) × 100

Number of alligators in 1992 = 285

Percentage of increase every year = 75%

Every year 75 increased per 100

2001 - 1992 = 9 years

Step: 3

So the population in 2001, as the percentage decreased, is:

\(\begin{aligned}&=285 \times\left(\frac{175}{100}\right)^9 \\&=285 \times\left(\frac{7}{4}\right)^9\end{aligned}\)

= 43871.986

Number of alligators in 2001 = 438972

Hence, The Number of alligators in 2001 = 438972

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Answer:

2nd option

Step-by-step explanation:

Note the x- coordinates of A', B' are the same as A, B

That is there is no change

The y- coordinate of A', B' are 4 units above A, B

Then translation rule is

(x, y ) → (x, y + 4 )

Answer:

3

Step-by-step explanation:

2.25×10=22.5

If there is 0 in front of the number:eg(02.25) 0 does not count but it counts if it comes after nonzero digits.

Answer:

58/5

Step-by-step explanation:

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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Answer:

\(\boxed{BC = 11.62}\)

Step-by-step explanation:

Tan 54 = \(\frac{opposite}{adjacent}\)

Where opposite = 16, Adjacent = BC

1.376 = \(\frac{16}{BC}\)

BC = 16/1.376

BC = 11.62

Answer:

11.62468045 or 11.6 to 1 decimal place

Step-by-step explanation:

→ We need to utilise trigonometry. The first step would be to list out the formula triangles

Tan = Opposite ÷ Adjacent

Sin =  Opposite ÷ Hypotenuse

Cos = Adjacent ÷ Hypotenuse

→ Now we need to know which triangle to use, we do that by identifying the side or length we are not given in the triangle and then finding a formula without the name of the given side. First let's identify all the sides.

Opposite = AC = 16

Adjacent = BC = We need to find this out

Hypotenuse = AB = No given value

→ Now we look for a formula with hypotenuse

Tan = Opposite ÷ Adjacent

→ The (Tan = Opposite ÷ Adjacent) is the formula we are going to be using. Since we want to find out the adjacent, we have to rearrange to get adjacent as the subject

Adjacent = Opposite ÷ Tan

→ Now we identify the Opposite and the Tan

Opposite = 16

Tan = 54°

Side note ⇒ Sin, cos and tan will always be the angles

→ Substitute in the values in the formula

Adjacent = Opposite ÷ Tan ⇔ Adjacent = 16 ÷ Tan (54) ⇔ Adjacent = 11.6

→ The adjacent is 11.6 to 1 decimal place

The coordinates of the centroid of the thin plate are (x, y) = ((40/3π), (40/3π)).

To find the centroid of the thin plate bounded by the equation x^2 + y^2 = 25 in the first quadrant, we can utilize symmetry to simplify the calculations.

The equation x^2 + y^2 = 25 represents a circle with a radius of 5 centered at the origin. In the first quadrant, we have a quarter-circle. Since the plate has a constant density, the centroid lies at the geometric center of the region.

The geometric center of a quarter-circle lies along the line y = x, which is the line of symmetry. Thus, the x-coordinate of the centroid is equal to the y-coordinate.

To find the coordinates of the centroid, we can use the fact that the area of a quarter-circle with radius r is (πr^2)/4. In this case, the radius is 5, so the area of the quarter-circle is (π(5^2))/4 = (25π)/4.

Since the centroid lies along the line y = x, the x-coordinate of the centroid is the average of the x-coordinates of the points on the quarter-circle. Similarly, the y-coordinate of the centroid is the average of the y-coordinates.

The average x-coordinate is given by the formula: (2/3)(4r/π) = (8/3)(5/π) = (40/3π).

Therefore, the coordinates of the centroid of the thin plate are (x, y) = ((40/3π), (40/3π)).

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Answer:

J= 45

Step-by-step explanation:

You have to multiply 5 by 9 to get what J is.

Using Z-table ,

the required probability that their mean total body protein is between 12.2 and 12.4 kg is 0.691..

We have given that,

The sample is Normal distribution,

the mean of sample(X-bar,) = 12.3 kg

standard deviations of sample(sigma) = 0.4 kg

sample size(n) = 4

confidence interval= (12.2, 12.4)

we have to find the probability that mean body protein is between 12.2 and 12.4 kg

Using the confidence interval formula, for finding the value of Z-value ,

C.I = X-bar +- Z(s/√n)

put all avaliabile values we get,

12.2 = 12.3 + Z(0.4/√4) = 12.3 + Z(0.2)

=> Z = - 0.5

or 12.4 = 12.3 + Z(0.2)

=> Z = 0.1/0.2 = 1/2 = 0.5

so, -0.5 < Z< 0.5

now , using the z-value we can easily calculate the value of p i.e. probability

Use the Z-table , we get p -value is 0.691

Hence , probability that their mean total body protein is between 12.2 and 12.4 kg is 0.691

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Answer:

Yes, it is a function

Step-by-step explanation:

If you were to draw a straight vertical line through it, it would only hit the line once, and therefore is a function. Curved lines can still be functions.

So the correct answer is d) yes, because it passed the vertical line test.

Hope this helps! Best of luck <3

Answer:

x = 1

Step-by-step explanation:

by solving the equation we get ;

Step-by-step explanation:

x = 1

hope it helps

Be happy and make happy

Answer:

One side length is 17. Because you square root 289 to figure out the side length.

Step-by-step explanation:

The area of a square is a side length * a side length

or l^2 = 289

sqrt or 289 = 17