Can anyone help me on this?

Answer:

B)7 units

Step-by-step explanation:

The value of P(x ≤ 10) is 0.10Explanation:Given, x is a normally distributed continuous random variable with population mean = 12 and standard deviation = σ.The standard deviation is not given.Let us consider two cases here, one for the standard deviation given and one without the standard deviation given.

Case 1: Standard deviation givenUsing z-score formula, we can write

z = (x-μ)/σ

Here,

x= 10, μ = 12

and

P(x ≤ 10.00) = 0.10.

So,

z = (10 - 12)

σ = -2/σ.

From the standard normal distribution table, we can find the value of

P(Z ≤ -2/σ) = 0.

10.If the value of z for

P(Z ≤ z) = 0.

10 is found to be -1.28, then,

-2/σ = -1.28σ = -2/-1.28σ = 1.56

Now, put the value of σ in the above equation,

σ = 1.56P(x ≤ 10) = P(Z ≤ -2/σ) = P(Z ≤ -1.28) = 0.

10Therefore, the value of P(x ≤ 10) is 0.10.Case 2: Standard deviation not givenIf standard deviation is not given, we cannot find the value of z or σ. So, the value of P(x ≤ 10) is indeterminate.Therefore, the answer is option C.

0.10Let x be a normally distributed continuous random variable with population mean equal to 12.0 and standard deviation ₁. Suppose that

P(x ≤ 10.00) = 0.10.

We need to calculate the value of

P(x ≤ 10)

Case 1: Standard deviation givenUsing z-score formula, we can write

z = (x-μ)/σ

Here,

x = 10,

μ = 12

and

P(x ≤ 10.00) = 0.10.

So,

z = (10 - 12)/σ = -2/σ

From the standard normal distribution table, we can find the value of P(Z ≤ -2/σ) = 0.10.If the value of z for P(Z ≤ z) = 0.10 is found to be -1.28, then,-2/σ = -1.28σ = -2/-1.28σ = 1.56Now, put the value of σ in the above equation,σ = 1.56P(x ≤ 10) = P(Z ≤ -2/σ) = P(Z ≤ -1.28) = 0.10Therefore, the value of P(x ≤ 10) is 0.10.Case 2: Standard deviation not givenIf standard deviation is not given, we cannot find the value of z or σ. So, the value of P(x ≤ 10) is indeterminate.

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Answer:

Step-by-step explanation:

17 x 100 = 1,700

17 x 10 x 10 = 1,700

(1 ten 7 ones) x 100 = 1,700

All of them go into the thousands column.

Answer: die.

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

180-160 = 20

20+60=80

180-80= 100

it's opposite so the answer is 100

Answer:

the answer is 100° because a triangle is a total of

180° and a straight line is also 180° so 180-160=20

and 60+20=80

and 180 -80 = 100 and the angle your looking for is a opposite from the angle that you just found

In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Answer: The difference between sum of first 20032003 even numbers and sum of first 20032003 odd numbers is “-20032003”.

Step-by-step explanation:

The sum of first 20032003 even numbers:

\(Summation E=E_{1}+E_{2}+E_{3}+ . . . . . +E_{20032003}\)

The sum of first 20032003 odd numbers:

\(Summation O=O_{1}+O_{2}+O_{3}+ . . . . . +O_{20032003}\)

Difference between the sum of first 20032003 even numbers and the sum of first 20032003 odd numbers:

\(Difference=Summation E - Summation O=(E_{1}+E_{2}+E_{3}+ . . . . . . . +E_{20032003})-(O_{1}+O_{2}+O_{3}+ . . . . . . . +O_{20032003})\)

\(Difference=(E_{1}-O_{1})+(E_{2}-O_{2})+(E_{3}-O_{3})+ . . . . . . . +(E_{20032003}-O_{20032003})\)

Even numbers start as 0, 2, 4, 6…. While odd numbers start as 1, 3, 5, 7…..

(assuming that we are taking non-negative even/odd numbers into account only)

As we know, every nth even number is one behind their respective odd number (i.e. 0 lags 1, 2 lags 3, 4 lags 5 and so on)

Thus, our equation of difference becomes,

\(Difference=(-1)_{1}+(-1)_{2}+(-1)_{3}+ . . . . . . . +(-1)_{20032003} =(-1)*20032003=-20032003\)

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Cost to put a 0. 5 ft layer of topsoil on the entire garden is $1000.

The quantity of square units required to completely fill a square is known as the area of a square. The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. Measurements are made in square units, with square meters serving as the reference unit 

Area of a Square = Side × Side.

Therefore, the area of square = Side square units.

Side of a square garden= 10 ft.

Area of a square garden= Side × Side= 10 × 10 =100 square ft.

Cost of the whole garden = 100×$5 =$500

Cost to put a 0. 5 ft layer of topsoil on the entire garden =$500/0.5

=$1000

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The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

According to the given statement

we have given that the

side length of the square garden is 10ft.

topsoil cost per foot is $5

And we have to find the cost which required to put a 0. 5 ft layer of topsoil on the entire garden.

So,

The  side length of the square garden is 10ft.

Now, the volume of the cube is (a)^2

And

Total volume of cube = 10*10

Total volume of cube = 100 per square foot.

Now, we find the cost required for a topsoil.

Cost required to put a topsoil of 1 foot in the total volume of cube = volume*cost

So,

Cost required to put a topsoil of 1 foot in the total volume of cube = 1000*5

Cost required to put a topsoil of 1 foot in the total volume of cube = $5000

if we put a topsoil of 0.5 feet then

The cost required = $5000/0.5

The cost required = $1000.

So, The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

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Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

If a client who weighs 207 lb (94.1 kg) is to receive 1.5 mg/kg of gentamicin sulfate iv three times each day, the nurse should administer 141 mg of gentamicin sulfate for each dose.

To calculate the dose of gentamicin sulfate that the nurse should administer to the client, we need to know the client's weight and the desired dosage, which in this case is 1.5 mg/kg.

First, we need to convert the client's weight from pounds to kilograms. To do this, we divide the client's weight in pounds by 2.205 to get the weight in kilograms:

207 lb ÷ 2.205 = 94.1 kg

Now that we have the client's weight in kilograms, we can calculate the dose of gentamicin sulfate for each administration:

1.5 mg/kg × 94.1 kg = 141.15 mg

We round 141.15 mg to the nearest whole number, which is 141 mg.

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Answer:

\(D)\ x + y = 109\\(1.5)x + (3.5)y = 227.50\)

Step-by-step explanation:

Let the items sold with price $1.5 = \(x\)

Let the items sold with price $3.5 = \(y\)

Initially, total number of items = 150

Items left at the end of the day = 41

So, number of items sold throughout the day = Total number of items - Number of items left

Number of Items sold = 150 - 41 = 109

So, the first equation can be written as:

\(\bold{x+y = 109} ....... (1)\)

Now, let us calculate the sales done by each item.

Sales from item with price $1.5 = Number of items sold \(\times\) price of each item

= (1.5)\(x\)

Sales from item with price $3.5 = Number of items sold \(\times\) price of each item

= (3.5)\(y\)

Total sales = \(\bold{(1.5)x+(3.5)y = 227.50} ....... (2)\)

So, the correct answer is:

\(D)\ x + y = 109\\(1.5)x + (3.5)y = 227.50\)

Answer:

So, Linear equations is the branch of algebra which deals with equality based equations with the infinite number of variables (highest index of any variable is one.)

Whereas, algebra is the branch of mathematics which deals with the variables, constants and the relationship between them

Step-by-step explanation:

Answer:

Lulu

Step-by-step explanation:

If you take the Lulu shirt and take 20% off of it, you have a shirt that is $80

If you take the H&M shirt and take 15% off of it, then take off 5%, you have a shirt that is $80.75

The opposite of being short $4.28 would be having $4.28 or more. That is a surplus or extra of $4.28.

Surplus refers to an amount or quantity that is left over or in excess of what is needed or used. It can refer to various things, such as:

In finance, a surplus refers to an excess of revenue over expenses, or an excess of assets over liabilities. It means having more of something than is necessary or expected.

Therefore, the opposite of being short $4.28 would be having $4.28 or more. This is often referred to as having a surplus or extra of $4.28.

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Answer:

2 lawns : $50

Step-by-step explanation:

Answer:

   -3/2

Step-by-step explanation:

Slope = y2 - y1 over x2 - x1

-5 - (-2) = -3

-1 - (-3) = 2

Answer: - 3/2

Answer:

I don't see how you can get a solution.

Step-by-step explanation:

You cannot factor or evaluate that problem with values for x or g(x)

Given the following expression:

You can follow the steps shown below in order to find an equivalent expression. But first, it is important to remember that an equivalent expression can be found by simpliying an expression.

1. According to the Product of Powers property:

Then, you can rewrite the expression as following:

2. Descompose 44 into its prime factors:

3. Substitute the above into the expression:

4. Remember the following property for Radicals:

5. Then, you can simplify the expression:

The answer is: Option A.

The first step to be performed when computing Σ(X + 2)2 is Square each value. The correct answer is a

When computing Σ(X + 2)2, we need to square each value before performing any further calculations. The expression (X + 2)2 represents squaring each value of X and adding 2 to the result.

This step ensures that each value is squared before any additional operations are performed. The squared values are then used in subsequent calculations, such as summing the squared values or applying other mathematical operations. Therefore, the first step is to square each value, as mentioned in option a.

The expression Σ(X + 2)2 represents the sum of the squared values of (X + 2). To compute this sum, we need to follow these steps:

Your question is incomplete but most probably your question was

What is the first step to be performed when computing

Σ(X + 2)2?

a. Square each value

b. Add 2 points to each score

C. Sum the squared values

D. Sum the (X +2) values

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Answer:

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

When you rotate a point 180° about the origin, it travels along the circumference of a circle and ends up in a diagonally opposite location.

The x and y values of its coordinates become the negatives of the original values.

The rule is

(x,y) ⟶ (-x,-y)

If the coordinates of A are (-5,1),

The coordinates of A' are (5,-1).

The figure below shows the graph or your rectangle and its rotated image.

Answer:

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

just took the FLVS test and got a 100% :)

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Check the picture below.

we can simply get the volume of the larger sphere, then the volume of the smaller sphere and subtract it from that of the larger sphere and what's leftover is the region between both.

\(\stackrel{\textit{\large volumes}}{\stackrel{\textit{sphere with r=6}}{\cfrac{4\pi (6)^3}{3}}~~ -~~\stackrel{\textit{sphere with r = 3}}{\cfrac{4\pi (3)^3}{3}}}\implies 288\pi -36\pi \implies 252\pi \approx \stackrel{cubic~units}{791.68}\)

The region within the larger sphere and not within the smaller sphere is 789.02 cubic units.

The volume of sphere is the measure of space that can be occupied by a sphere.  If the radius of the sphere formed is r and the volume of the sphere is V. Then, the volume of the sphere is given by: Volume of Sphere, V = (4/3)πr³

Given that, there are two concentric spheres of radii 3 units and 6 units.

Now,

Volume of sphere with radius 3 units is

V₁ = 4/3×3.14×3³

= 4/3×3.14×27

= 4×3.14×9

= 113.04 cubic units

Volume of sphere with radius 6 units is

V₂ = 4/3×3.14×6³

= 4/3×3.14×216

= 902.06 cubic units

Now, difference is 902.06-113.04

= 789.02 cubic units

Therefore, the region within the larger sphere and not within the smaller sphere is 789.02 cubic units.

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Answer:

m= 5/7

Step-by-step explanation:

y2-y1 / x2-x1

7-2/8-1

5/7

The height of the rectangular pyramid is 10.5 m.

Given that;

A rectangular pyramid has the following parameters;

The volume of the rectangular pyramid ( v ) = 560 m³

The base length of the rectangular pyramid ( l ) = 16 m

The width of the same rectangular pyramid ( w ) = 10 m

We were asked to find out the height ( h ) of the rectangular pyramid, to get it we need to use the given formula;

v = l * w * h / 3

From the above equation;

h = 3 * v / l * w

h = 3 * 560 / 16 * 10

h = 10.5 m

Therefore, the height of the rectangular pyramid is 10.5 m

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Answer:

True. Remainder when divided by (x-r) is p(r).

Answer:

TRUE

Step-by-step explanation:

Let p(x) is divided by (x-r)

Then, by division algorithm of polynomials

R is the remainder and it is a constant because according division algorithm degree of remainder is always less than degree of divisor and greater than Or equal to 0. So it is 0.

Q(x) is quotient.

Now, if we particularly put x = r in the equation, we get.

The distribution that the residuals in our model to follow is equals to the normal probability distribution. So, option(a).

Because residuals are defined as the difference between any data point and the regression line, they are sometimes called "errors". An error in this context does not mean that there is anything wrong with the analysis. In other words, the residual is the error that is not described by the regression line. The residue(s) can also be expressed by "e". The formula is written as, Residual = Observed value – predicted value or

\(e = y – \hat y \).

In order to draw valid conclusions from your regression, the regression residuals should follow a normal distribution. The residuals are simply the error terms or differences between the observed value of the dependent variable and the predicted value. Therefore, the residuals should have a normal distribution.

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Complete question:

we desire the residuals in our model to have which probability distribution? select answer from the options below

a) normal

b) binomial

c) poisson

Step-by-step explanation:

look at above picture ️️️

Therefore, the solution to the initial value problem is:\(x(t) = 3e^t\)

To solve the given initial value problem, we need to find the function x(t) that satisfies the given differential equation and initial condition.

The given differential equation is-

x'(t) = x(t)

To solve this first-order linear ordinary differential equation, we can separate the variables and integrate:

1/x(t) dx = dt

Integrating both sides:

∫(1/x(t)) dx = ∫dt

ln|x(t)| = t + C

where C is the constant of integration.

Taking the exponential of both sides:

|x(t)| = e^(t+C) = Ce^t

Since we have the initial condition x(0) = 3, we substitute t = 0 and solve for C:

|3| = Ce^0

3 = C

So, C = 3.

Therefore, the solution to the initial value problem is:

x(t) = 3e^t

Note that since the absolute value is involved, the solution can take both positive and negative values. However, with the initial condition x(0) = 3, we choose the positive value for the constant C.

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The ladder reaches approximately 8.66 feet up the wall.

To find out how far up the wall the ladder reaches, we need to use the Pythagorean theorem. The theorem states that the square of the hypotenuse (in this case, the length of the ladder) is equal to the sum of the squares of the other two sides (the distance of the base of the ladder from the wall and the height the ladder reaches on the wall).

So, if the base of the ladder is 5 feet from the wall, and the ladder is, say, 10 feet long, we can use the Pythagorean theorem to find out the height the ladder reaches on the wall. The equation would be:

10^2 = 5^2 + x^2

(where x is the height the ladder reaches on the wall)

Simplifying the equation, we get:

100 = 25 + x^2

75 = x^2

x = sqrt(75)

x ≈ 8.66 feet

Therefore, the ladder reaches approximately 8.66 feet up the wall.

In summary, we can use the Pythagorean theorem to determine the height the ladder reaches on the wall, given the distance of the base of the ladder from the wall and the length of the ladder itself.
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Answer:

Unit price = $1.16

His error was he divided $97.44 by 7 when in fact he should have divided 97.44 by 84

Step-by-step explanation:

7 dozen pairs

1 dozen = 12

7×12 = 84

97.44 ÷ 84 = 1.16