Using your calculator, find the proportion of observations from a standard normal distribution that satisfies the following statement. Sketch the normal curve and shade the area under the curve that is the answer to the question: Z < –1.5.

Answers

Answer 1

Answer:

Final answer:

The proportion of observations from a standard normal distribution that satisfies the statement Z < -1.5 is approximately 0.0668. To depict this, one can sketch a normal curve with the mean at the center and shade the area to the left of -1.5 under the curve.

Explanation:

To find the proportion of observations from a standard normal distribution that satisfies the statement Z < -1.5, we need to find the area to the left of -1.5 on the standard normal distribution curve. This area represents the proportion of observations that have a z-score less than -1.5.

Using a calculator or a z-table, we can find that the area to the left of -1.5 is approximately 0.0668, which is the proportion of observations that satisfy the given statement. To sketch the normal curve and shade the area under the curve, we would draw a standard normal distribution curve with the mean at the center, and then shade the area to the left of -1.5 under the curve.

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The radius r of a circle can be written as a function of the area A with the following equation: What is the domain of this function? Explain why it makes sense in this context.

Answers

Answer:

Hence, the domain of the function is:

[0,∞)

Step-by-step explanation:

We know that area of circle is given by the function:

$A=\pi r^2$

The radius r of a circle can be written as a function of the area A with the following equation:

Now we can represent r in terms of A as:

$r^2=(A)/(\pi)\n\nr=\sqrt{(A)/(\pi)}$

Now as we know that for the square root term to exist:

$\sqrt{(A)/(\pi)}\geq0$

i.e. $A\geq0$

A=0 represents a point circle since it's area is zero.

Hence, the domain of the function is:

[0,∞)

[0,infinity) because you can not take the radius of a negative mumber.

How does the slope of a road affect a person`s driving?

Answers

it can affect a person in many different ways they can measure the slope and find out the slope but they will never be able to measure the whole thing

COMPLETE THE EXERCISE BELOW TO DECOMPOSE 930

Answers

I saw the complete problem:

complete the exercise below to decompose 930

930 = _____ tens = ____ x ____

My answer is:

930 = ninety-three tens or 93 tens = 93 x 10

for a given interest rate, simple interest varies jointly as the principal and time. if $3000 left in an account for 3 years earned interest of $540, then how much interest woukd be earned in 4 years?

Answers

720 dollars

You get this by 540/3*4

I hope I helped you.

Which is equivalent to (4xy – 3z)2, and what type of special product is it?16x2y2 + 9z2, the difference of squares
16x2y2 + 9z2, a perfect square trinomial
16x2y2 – 24xyz + 9z2, the difference of squares
16x2y2 – 24xyz + 9z2, a perfect square trinomial

Answers

(4xy - 3z)²

(4xy - 3z)(4xy - 3z)
4xy(4xy - 3z) - 3z(4xy - 3z)
16x²y² - 12xyz -12xyz + 9z²

16x²y² - 24xyz + 9z², a perfect square trinomial.

The correct option is $\boxed{{\mathbf{Option D}}}$ .

Further explanation:

The binomial algebraic expression is an algebraic expression that consists two terms and it is separated by plus or minus.

Binomial expression can be mathematically expressed as,

$a + b$

The trinomial algebraic expression is an algebraic expression that consists three terms and it is separated by plus or minus.

Trinomial expression can be mathematically expressed as,

$a + b + c$

Here, $a,b{\text{ and }}c$ are the real numbers.

The square of the binomial $a + b$ can be written as,

${\left( {a + b} \right)^2} = \left( {a + b} \right)\left( {a + b} \right)$

Given:

The given algebraic expression is ${\left( {4xy - 3z} \right)^2}$ .

Step by step explanation:

Step 1:

The square of the binomial $a + b$ can be written as,

${\left( {a + b} \right)^2} = \left( {a + b} \right)\left( {a + b} \right)$

Similarly, the expression ${\left( {4xy - 3z} \right)^2}$ can be written as,

$\begin{aligned}{\left( {4xy - 3z} \right)^2} &= \left( {4xy - 3z} \right)\left( {4xy - 3z} \right) \n&= 4xy\left( {4xy - 3z} \right) - 3z\left( {4xy - 3z} \right) \n\end{aligned}$

Step 2:

The distributive property can be used to solve the square of the binomial.

The distributive property can be expressed as,

$a\left( {b + c} \right) = ab + ac$

Now apply the distributive property to solve the expression ${\left( {4xy - 3z} \right)^2}$ .

$\begin{aligned}{\left( {4xy - 3z} \right)^2} &= 4xy\left( {4xy - 3z} \right) - 3z\left( {4xy - 3z} \right) \n&= 16{x^2}{y^2} - 12xyz - 12xyz + 9{z^2} \n&= 16{x^2}{y^2} - 24xyz + 9{z^2} \n\end{aligned}$

Therefore, the expression $16{x^2}{y^2} - 24xyz + 9{z^2}$ is the perfect square of the binomial $\left( {4xy - 3z} \right)$ .

The expression $16{x^2}{y^2} - 24xyz + 9{z^2}$ is the trinomial.

Thus, option D a perfect square trinomial $16{x^2}{y^2} - 24xyz + 9{z^2}$ is correct.

Learn more:

Learn more about the function is graphed below brainly.com/question/9590016
Learn more about the symmetry for a function brainly.com/question/1286775
Learn more about midpoint of the segment brainly.com/question/3269852

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords: binomial, polynomial, algebraic expression, difference, product, trinomial, distributive property, equivalent, expression, terms, plus, separated, multiply, minus, addition

When the coordinates (1,1), (2,3),(5,3) and (4,1) are joined which shape is formed?

Answers

Parallelogram because not all sides are equal.

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