How do you find the probability using the standard normal curve to find the z-score?

Answer:

6 1/10

Step-by-step explanation:

4,5 + 1,6 = 6,1 = 6 1/10

Answer:

sorry

Step-by-step explanation:

9514 1404 393

Answer:

  15

Step-by-step explanation:

The proportion can be written as fractions:

  \(\dfrac{20}{40}=\dfrac{d}{30}\\\\\dfrac{600}{40}=d\qquad\text{multiply by 30}\\\\\boxed{d=15}\qquad\text{finish the computation}\)

Answer:

Step-by-step explanation:

Given

proportions. 20 : 40 :: d : 30

20/40=d/30

d=20×30/40

d=30/2

d=15.

Answer:

Step-by-step explanation:

Find 3% of $3200:

Subtract the commission part from the total salary:

Commision:-

\(\\ \rm\Rrightarrow 3/100\times 3200\)

\(\\ \rm\Rrightarrow 32(3)\)

\(\\ \rm\Rrightarrow 96\)

Weekly salary= 471-96=375$

\(2 - 3csc(x) > 8 \\ 2 - \frac{3}{sin(x)} > 8 \\ - 6 > \frac{3}{sin(x)} \\ - 2 > \frac{1}{sin(x)} \\ \frac{ - 1}{2} < sin(x) \: \: or \: \: \: sin(x) > \frac{ - 1}{2} \\ \\ \)

\(sin( \frac{ - \pi}{6} ) = \frac{ - 1}{2} \)

\(x \: in \: \: [0, \frac{7\pi}{6}[U] \frac{11 \pi }{6} ,2\pi] + 2k\pi\)

Answer:

D. pi<x<7pi/6 and 11pi/6<x<2

Step-by-step explanation:

Took the test and this is the correct answer

(D) "Every real number is either 0 or less" best describes the range of the function.

The collection of potential output values for a function is known as its range.

For instance, the range is the non-negative real numbers for the function f(x)=x2 on the domain of all real numbers (x∈R), which may be represented as f(x)≥0 (or [0,∞) using interval notation).

So, every y-coordinate in a function is negated when it is reflected across the x-axis.

Our y-values in the initial function will all be positive.

All of the y-values will be negative when this is reflected across the x-axis, resulting in a range of y-values that are less than or equal to 0.

Therefore, (D) "every real number is either 0 or less" best describes the range of the function.

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Complete question:
Which best describes the range of the function f(x) = 2/3(6)x after it has been reflected over the x-axis?

A. all real numbers

B. all real numbers less than 0

C. all real numbers greater than 0

D. all real numbers less than or equal to 0

The correct answer is "all real numbers less than or equal to 0."

What is Range of function?

The range of a function is the set of all possible output values that the function can produce. When a function is reflected over the x-axis, the sign of its output values (i.e., positive or negative) is reversed.

For the function f(x) = Two-thirds(6)x, the range consists of all real numbers greater than or equal to 0.

When this function is reflected over the x-axis, the range will consist of all real numbers less than or equal to 0.

Therefore, The correct answer is "all real numbers less than or equal to 0."

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Complete Question -

Which best describes the range of the function f(x) = 2/3(6)x after it has been reflected over the x-axis?

A. all real numbers

B. all real numbers less than 0

C. all real numbers greater than 0

D. all real numbers less than or equal to 0

Answer:

B

Step-by-step explanation:

Answer:

Answer is B

Step-by-step explanation:

took the test edg2021

Answer:

a = 2

Step-by-step explanation:

the constant terms inside the factors will multiply to give the constant term of the expansion, that is

a × 9 × - 4 = - 72

- 36a = - 72 ( divide both sides by - 36 )

a = 2

Answer:

The answer is 61:)

Step-by-step explanation:

The concept distance formula is used here to determine the distance between two points. The distance between two points is the length of the line joining the two points. The distance between point X and point Y is  4√2 units.

In analytical geometry, the distance formula is used to find the distance measure between two lines. The distance between two points of the xy-plane can be found using the distance formula.

The distance between two points is given as:

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(-1 + 5)² + (3 - 7)²

d = √(4)² + (-4)² = √16 + 16

d = 4√2 units

Thus the distance between two points X(-5,7) and Y(-1,3) is  4√2 units.

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Your question is incomplete most probably your full question was:

Find the distance between two points X(-5,7) and Y(-1,3):

Answer:

the side length is 8

Step-by-step explanation:

Answer:

8 in. per side

Step-by-step explanation:

32 in/4

8 in

Answer:

y = √x/3 or -√x/3

Step-by-step explanation:

f(x) = 9x^2

y = 9x^2

x = 9y^2

\(\sqrt{\frac{x}{9} }\) = y

y = √x/3 or -√x/3

Answer:

The inverse of the function f(x) = 9x^2 is f^-1(x) = sqrt(x/9). To obtain the inverse, replace f(x) with y, solve for x in terms of y, and replace x with f^-1(x).

Step-by-step explanation:

To find the inverse of the function f(x) = 9x^2, we can follow these steps:

y = 9x^2

y/9 = x^2

±sqrt(y/9) = x

Note that we include both positive and negative square roots, but since x ≥ 0 in the domain of the original function, we only take the positive square root.

   3.Replace x with f^-1(x):

f^-1(x) = sqrt(x/9)

Therefore, the inverse of the function f(x) = 9x^2 is f^-1(x) = sqrt(x/9).

The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).

To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.

First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.

The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.

Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.

Now we can write the volume of the box in terms of x, w, and l:

V = (w - 2x)(l - 2x)(x)

Expanding this expression, we get:

V = x(4wl - 4wx - 4lx + 8x^2)

Simplifying further:

V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx

To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:

dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0

Solving for x, we get:

x = (2wl)/(3w + 3l)

Now we can use this value of x to find the width and length of the original piece of sheet metal:

w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)

l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)

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Answer:

k = -5

Step-by-step explanation:

x²-12x+1 = kx - 11  ==> since both graph intersect

(4)²-12(4)+1 = k(4) - 11   ==> plug in 4 for x

16 - 48 + 1 = 4k - 11

-32 + 1 = 4k - 11  ==> simplify

-31 = 4k - 11  ==> simplify

-31 + 11 = 4k - 11 + 11  ==> add 11 on both sides to isolate k

-20 = 4k ==> solve for k

k = -20/4

k = -5

Answer:

the value of k comes out to be -5

Answer:

Step-by-step explanation:

Yes, by side 6cm, 8cm, 10cm be a right angle triangle.

explain, by pythagoras theorem,

                 (hypotenuse)^2 = (perpendicular)^2 + (base)^2

             =>    (10)^2 = (6)^2 + (8)^2

            =>      100 = 36 + 64

            =>      100 = 100

so, it is verifying the phythagoras theorem, hence it will form a right angle triangle with side 6cm, 8cm, and 10cm.

The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

We know,

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

we have,

∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.

∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.

Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

 ≅   Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.

ABCD is a Rhombus Reason = Its sides are all congruent.

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complete question:

Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus

E) 10 minutes. At the local fast food joint, cars arrive randomly at a rate of 12 every 30 minutes, which is equivalent to a rate of 0.4 cars per minute (12 arrivals / 30 minutes). The service time for each car averages 2 minutes per arrival and follows an exponential distribution.

To find the average time in the queue for each arrival, we can use Little's Law. Little's Law states that the average number of customers in a system (L) is equal to the arrival rate (λ) multiplied by the average time a customer spends in the system (W). In other words, L = λW.

In this scenario, we are given the arrival rate (λ) and the service time (μ), but we want to find the average time a customer spends in the system (W). To do this, we can use the formula for the average time in an M/M/1 queue: W = 1 / (μ - λ).

Plugging in the values, we get W = 1 / (0.5 cars/minute - 0.4 cars/minute) = 1 / 0.1 cars/minute = 10 minutes. Thus, the average time in the queue for each arrival is 10 minutes.

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Answer:

7 / 12 is the answer

hope this answer will help you

Answer:

-11 F

Step-by-step explanation:

So we need to just add or decrease the temperature.

-5 + 14

9 - 20

-11

Answer:

-5 + 14 = 9

9 - 20 = -11

the answer is -11°f

Using compound interest formula when the CD matures on Melissa's 14th birthday, there will be $3187.69 available.

The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.

Use the formula for compound interest to calculate the amount of money that will be available when the CD matures -

\(A = P(1 + r/n)^(nt)\)

Where A is the amount of money available when the CD matures, P is the initial principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, the initial principal is $2000, the interest rate is 6%, and the CD will be held for 8 years (from Melissa's 6th to 14th birthday).

It is not given how many times per year the interest is compounded, so assume it is compounded annually.

Using these values in the formula -

\(A = $2000(1 + 0.06/1)^(1*8)A = $2000(1.06)^8A = $3187.69\)

Therefore, the value is obtained as $3187.69.

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Let x = John's age now

half of what johns age was 4 years ago: (1/2)(x-4)

is equal to one third of what it will be in 5 years time: (1/3)(x+5)

(1/2)(x-4) = (1/3)(x+5)

3(x-4) = 2(x+5)

3x - 12 = 2x + 10

The angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\),\) which is approximately 1.107 radians or 63.43 degrees.

To determine the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\),\) we can follow these steps:

1. Express \(\(z_0\)\) in polar form: To find the polar form of \(\(z_0\)\), we need to calculate its magnitude \((\(r_0\))\) and argument \((\(\theta_0\))\). The magnitude can be obtained using the formula \(\(r_0 = |z_0| = \sqrt{\text{Re}(z_0)^2 + \text{Im}(z_0)^2}\)\):

\(\[r_0 = |2i + 1| = \sqrt{0^2 + 2^2 + 1^2} = \sqrt{5}\]\)

  The argument \(\(\theta_0\)\) can be found using the formula \(\(\theta_0 = \text{arg}(z_0) = \arctan\left(\frac{\text{Im}(z_0)}{\text{Re}(z_0)}\right)\)\):

\(\[\theta_0 = \text{arg}(2i + 1) = \arctan\left(\frac{2}{1}\right) = \arctan(2)\]\)

2. Find the polar form of \(\(w\)\): The polar form of \(w\) can be expressed as \(\(w = |w|e^{i\theta}\)\), where \(\(|w|\)\) is the magnitude of \(\(|w|\)\) and \(\(\theta\)\) is its argument. Since \((w = z^2\)\), we can substitute z with \(\(z_0\)\) and calculate the polar form of \(\(w_0\)\)using the values we obtained earlier for \(\(z_0\)\):

 \(\[w_0 = |z_0|^2e^{2i\theta_0} = \sqrt{5}^2e^{2i\arctan(2)} = 5e^{2i\arctan(2)}\]\)

3. Determine the argument of \(\(w_0\):\) To find the argument \(\(\theta_w\)\) of \(\(w_0\)\), we can simply multiply the exponent of \(e\) by 2:

  \(\[\theta_w = 2\theta_0 = 2\arctan(2)\]\)= 1.107 radians

Therefore, the angle of rotation at the point \(\(z_0 = 2i + 1\)\) when \(\(w = z^2\)\) is \(\(2\arctan(2)\).\)

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The complete question is:

"Determine the angle of rotation, in radians and degrees, at the point z0 = 2i + 1 when w = z^2."

Congruent triangles are also frequently employed in architectural designs, carpet patterns, stepping stone patterns, and geometric art.

The following are the two most typical instances of this: Equilateral triangles are used to make truss bridges, which are built on both sides.

Congruence :

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. A term used to describe an object and its mirror counterpart is congruence. If two things or shapes superimpose on one another, they are said to be congruent. They are identical in terms of size and shape. Line segments having the same length and angles with the same measure are congruent in the context of geometric figures.

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Answer: 7 tens and 6 ones

Step-by-step explanation: 76 is two numbers, with a 7 in the tens place and a 6 in the ones place.

76 can be represented as 7 tens and 6 ones or as 6 tens and 16 ones. This involves understanding the place value of digits in a number and knowing that a ten can be broken down into ones.

The number 76 can be broken down into tens and ones in multiple ways. First, let's understand what tens and ones mean in the context of a number. In the number 76, '7' is the tens place, and '6' is the ones place, meaning there are 7 tens (70) and 6 ones (6) making up 76.

One way to show 76 with tens and ones is to say that there are 7 tens and 6 ones. This is a very direct method where we just count the number of tens and ones in the number.

Another way we could break down 76 is to say there are 6 tens and 16 ones. This method involves taking one of the tens and breaking it down into 10 ones, giving us a total of 6 tens and 16 ones.

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Answer:

Is this multiple choice or do you have to do it on your own with your own answer?

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is x= 7/2

decimal form 3.5

The least accurate measurement among the options provided is 18050 m.Therefore, among the given options, 18050 m is the least accurate measurement due to its higher number of significant figures.

To determine the least accurate measurement, we need to consider the number of significant figures in each measurement. The measurement with the fewest significant figures indicates lower accuracy.

Among the options given:

a. 208 m has three significant figures.

b. 18050 m has five significant figures.

c. 0.08 m has two significant figures.

d. 0.750 m has three significant figures.

e. 12.0 m has three significant figures.

The measurement with the least accurate value is 18050 m because it has the highest number of significant figures among the options. A higher number of significant figures suggests a greater level of precision and accuracy in the measurement.

Significant figures represent the digits in a number that contribute to its precision. They include all the non-zero digits and any zeros that appear between non-zero digits or after a decimal point. In this case, the measurement 18050 m has five significant figures, indicating a high level of precision and accuracy.

On the other hand, measurements with fewer significant figures imply less precision and accuracy. For example, the measurement 0.08 m has only two significant figures, suggesting less certainty in the measurement compared to 18050 m.

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The value of the integral ∫(π/2 to π/4) csc(t) cot(t) dt is -√2 + 1.

To evaluate the integral ∫(π/2 to π/4) csc(t) cot(t) dt, we can use trigonometric identities and integration techniques.

First, let's rewrite the integrand using trigonometric identities:

Substituting these identities, the integral becomes:

∫(π/2 to π/4) (1/sin(t)) * (cos(t)/sin(t)) dt

Now, we can simplify the expression:

∫(π/2 to π/4) (cos(t)/sin²(t)) dt

To evaluate this integral, we can use the substitution method. Let u = sin(t), then du = cos(t) dt. We need to find the new limits of integration when t = π/2 and t = π/4.

When t = π/2, u = sin(π/2) = 1.

When t = π/4, u = sin(π/4) = 1/√2.

The integral becomes:

∫(1 to 1/√2) (1/u²) du

Simplifying further, we have:

∫(1 to 1/√2) u^(-2) du

Now, we can integrate:

∫(1 to 1/√2) u^(-2) du = [-u^(-1)] evaluated from 1 to 1/√2

Evaluating the definite integral, we have:

[-u^(-1)] from 1 to 1/√2 = [-(1/√2)^(-1) - (-1)^(-1)] = [-√2 - (-1)] = -√2 + 1

Therefore, the value of the integral ∫(π/2 to π/4) csc(t) cot(t) dt is -√2 + 1.

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Null hypothesis (H0): The mean wait time for emergency room patients is equal to or less than 38 minutes (H0: μ ≤ 38).
Alternative hypothesis (Ha): The mean wait time for emergency room patients is more than 38 minutes (Ha: μ > 38).

The null hypothesis, denoted as H0, is a statement that assumes there is no significant difference or relationship between variables in a statistical analysis. In this case, the null hypothesis is that the mean wait time for emergency room patients is equal to or less than 38 minutes, represented as H0: μ ≤ 38.
On the other hand, the alternative hypothesis, denoted as Ha or H1, is a statement that contradicts or opposes the null hypothesis. It suggests that there is a significant difference or relationship between variables. In this scenario, the alternative hypothesis is that the mean wait time for emergency room patients is more than 38 minutes, represented as Ha: μ > 38.
To summarize:
- Null hypothesis (H0): The mean wait time for emergency room patients is equal to or less than 38 minutes (H0: μ ≤ 38).
- Alternative hypothesis (Ha): The mean wait time for emergency room patients is more than 38 minutes (Ha: μ > 38).
In hypothesis testing, we collect data to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

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