A sample of n = 4 scores is selected from a normal population with μ = 30 and σ = 8. The probability of obtaining a sample mean greater than 34 is equal to the probability of obtaining a z-score greater than z = 2.00.

The criteria that you can use to show these two triangles are congruent is A. AAS

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. It stands for "Angle, Angle, Side." Knowing two angles and one side is known as "AAS" (which is not between the angles). to make an AAS triangle work.

To find the other angle, add the three angles to 180°. then utilize the Law of Sines to determine each of the additional two sides. 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.

In conclusion, the correct option is A.

Learn more about Triangle on:

https://brainly.com/question/17335144

#SPJ1

Answer:

$432

Step-by-step explanation:

60*6=360

They paid $360 for the first 6 months.

20%*60=.2*60

0.2*60=12

12*6=72

They paid $72 for the last 6 months.

360+72=432

They paid $432

$648 is the total amount the customer will pay for the 1-year plan

percentage, a relative value indicating hundredth parts of any quantity.

Given that a customer enrolled in a 1-year product purchase plan that costs $60 per month.

After 6 months, the customer received a monthly discount of 20%.

We need to find the total amount the customer will pay for the 1-year plan.

Product Plan = $60 per month

Money he pay for 1 month = $ 60

Money He pay for first 6 month = 6 × 60 = $ 360

after 6 month he receives 20% discount monthly,

So, Now he pay for 1 month = 60 - 20% × 60

=60-20/100×60

=60-12=48

Money he pay for last 6 month = 6 × 48 = 288

Total Money he  pay in a year = 360 + 288 = $ 648

Hence, $648 is the total amount the customer will pay for the 1-year plan

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Answer:

-7

Step-by-step explanation:

Solve:

The answer is \(\boxed{-7}\)

-Chetan K

AC = 14.25 in.AD = 5 in. DE = 9  in.AB ≈ 13.34 in.CD ≈ 13.34  in.mZEDC = 180° - mZAEBMidsegment ≈ 13.34 in.

To determine the measurements in Isosceles Trapezoid ABCD, we are given the following information:

AC = 14.25 in.

AD = 5 in.

DE = 9 in.

To find the missing measurements, let's analyze the properties of an isosceles trapezoid.

An isosceles trapezoid has two parallel sides, with the non-parallel sides being congruent. In this case, AD and BC are parallel sides, while AB and CD are the non-parallel sides.

Since AD is given as 5 in., we know that BC is also 5 in.

To find the length of AB and CD, we can use the fact that the non-parallel sides of an isosceles trapezoid are congruent. Thus, AB = CD.

Since AC is the diagonal of the trapezoid, it divides the trapezoid into two congruent right triangles. We can use the Pythagorean theorem to find the length of AB (or CD).

AC^2 = AB^2 + BC^2

Substituting the given values:

\((14.25)^2\)= \(AB^2 + (5)^2\)

203.0625 = AB^2 + 25

\(AB^2\)= 203.0625 - 25

AB^2 = 178.0625

AB = √178.0625

AB ≈ 13.34 in.

Since AB = CD, CD ≈ 13.34 in.

Now let's find the angles of the trapezoid:

To find angle ZEDC, we can use the fact that opposite angles in a trapezoid are supplementary. Therefore,

mZEDC = 180° - mZAEB

mZEDC = 180° - mZAEB

To find the midsegment, we can use the fact that it is the average of the lengths of the parallel sides. Thus,

Midsegment = (AB + CD) / 2

Midsegment = (13.34 + 13.34) / 2

Midsegment ≈ 13.34 in.

In summary:

AC = 14.25 in.

AD = 5 in.

DE = 9 in.

AB ≈ 13.34 in.

CD ≈ 13.34 in.

mZEDC = 180° - mZAEB

Midsegment ≈ 13.34 in.

Please note that the measurements are approximate due to the use of square roots.

for more such question on mZAEBMidsegment visit

https://brainly.com/question/30242632

#SPJ8

Answer:

Step-by-step explanation:

-4/5, -11/10, -5/2, 9/5

The rate of interest is 73%.

What is the annual rate?

The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.

Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².

A dollar to triple in 2 years.

Thus putting X = 3 in X = (1+r) ²

3 = (1+r) ²

Take square root on both sides:

√3 = 1 + r

Subtract 1 from both sides:

r = √3 - 1

r = 0.73

r = 73%

To learn more about compound interest, click on the below link:

https://brainly.com/question/1388414

#SPJ1

A mean is an arithmetic average of a set of observations. The mean height of the five students is 148.

A mean is an arithmetic average of a set of observations. it is given by the formula,

Mean = (Sum of observations)/Number of observations

Given that the mean height of three boys is 150 centimeters. Therefore, the sum of height of the three boys is,

Mean Height of boys = Sum of height of boys / Number of boys

150 = Sum of height of boys/ 3

Sum of height of boys = 150 x 3 = 450

Also, given that the mean height of two girls is 145 centimeters. Therefore, the sum of height of the two girls is,

Mean Height of girl = Sum of height of girls/ Number of girls

145 = Sum of height of girls/ 2

Sum of height of girls = 145 x 2 = 290

Further, the mean height of five students is,

Mean height of five students = Sum of height of students / Number of students

Mean height of five students = (450 + 290)/ 5

Mean height of five students = 740 / 5

                                                = 148

Hence, the mean height of the five students is 148.

Learn more about Mean here:

https://brainly.com/question/16967035

#SPJ1

Answer:

3

Step-by-step explanation:

12 divided by 4 is 3. Therefor 1/4 of 12 is 3.

Answer:

3

Step-by-step explanation:

Do 12 times .25!

Hope this helps and have a great day!

Answer:

\(4^6\)

Step-by-step explanation:

\(4^9 \div 4^3\)

Apply the law of exponents.

\(=4^{9-3}\)

\(=4^6\)

Answer:

4^6

Step-by-step explanation:

The solution for the given equation; 7x+5(x-1)=-5+12x as required to be determined is; Infinitely many solutions.

It follows from the task content that the solution for the given equation; 7x+5(x-1)=-5+12x is to be determined.

Since the given equation is; 7x + 5 (x-1) = -5 + 12x

Hence, by the distributive property; we have that;

7x + 5x - 5 = -5 + 12x

12x - 5 = 12x - 5

On this note, since both sides of the equation are same, it follows that the equation has infinitely many solutions.

Read more on infinitely many solutions;

https://brainly.com/question/28949611

#SPJ1

On dividing, (36x⁵ - 44x⁴ - 28x³) / (4x²), we get the quotient as  \(\frac{(36x^5 - 44x^4 - 28x^3) }{ (4x^2) }= \frac{9x^3 - 11x^2 + 7x + 7x}{(4x^2)}\)

To determine how many times one number can fit into another, division is a mathematical procedure that includes dividing one number by another. In division, the quantity being divided is referred to as the dividend, the quantity dividing the dividend is referred to as the divisor, and the quantity being divided is referred to as the quotient.

There are various ways to write the operation and the symbol for division is or /. For instance, 12 divided by 3 can be expressed as follows:

12 ÷ 3 = 4

12 / 3 = 4

12 divided by 3 equals 4

It's crucial to remember that in division, the divisor cannot equal zero because division by zero is illogical. A residual, which may be stated as a fraction or decimal, is left over when the dividend cannot be divided by the divisor in an exact number. When 10 is divided by 3, for instance, the result is 3 with a remainder of 1, which is represented as 3 1/3 or 3.3333... in decimal form.

In many different mathematical contexts, including those involving fractions, decimals, ratios, and proportions, division is a fundamental arithmetic operation. Additionally, it is utilized in more complex mathematical ideas like trigonometry, calculus, and algebra.

To divide 36x⁵ - 44x⁴ - 28x³ by 4x², we can use polynomial long division as follows:

____________

4x² | 36x⁵ - 44x⁴ - 28x³ + 0x² + 0x + 0

   9x³ - 11x² +   7x

    -----------------------

          36x⁵ -  0x⁴ -  28x³

          36x^4 - 44x³ +  0x²

          --------------------

                       44x^3 +  0x^2

                       44x^3 - 11x^2 +   0x

                       ----------------------

                                     11x^2 +   0x

                                     11x^2 -   7x

                                     ---------

                                             7x + 0

Therefore, the quotient is \(9x^3 - 11x^2 + 7x\) and the remainder is 7x.

Hence, the answer is:

\(36x^5 - 44x^4 - 28x^3 = 4x^2(9x^3 - 11x^2 + 7x) + 7x\)

or

\(\frac{(36x^5 - 44x^4 - 28x^3) }{ (4x^2) }= \frac{9x^3 - 11x^2 + 7x + 7x}{(4x^2)}\)

To know more about quotient  visit:

brainly.com/question/29096690

#SPJ1

The simplified expression is  d/ c⁴.

To simplify the expression cd³ c⁻⁵ x d⁻², we can combine the variables with the same base (c and d) by adding their exponents:

Using the property of exponents as

When multiplying two exponential expressions with the same base, you can add the exponents. This can be expressed as follows:

aᵇ x aⁿ= aᵇ⁺ⁿ

When dividing two exponential expressions with the same base, you can subtract the exponents. This can be expressed as follows:

aᵇ / aⁿ= aᵇ⁻ⁿ

So, cd³ c⁻⁵ x d⁻²

= c¹⁻⁵ x d³⁻²

= c⁻⁴ x d¹

= dc⁻⁴

Again from the property of exponents

a⁻ᵇ = 1/aᵇ

So,  dc⁻⁴

= d/ c⁴

Therefore, the simplified expression is  d/ c⁴.

Learn more about Exponents and power here:

https://brainly.com/question/28515493

#SPJ1

Answer:

No they aren't similar different measurements but same angle so they can't be said to be similar

To make the resultant expression subtract the first expression from the second expression.

It is defined as the combination of constants and variables with mathematical operators.

We have a rational expression:

Let:

\(\rm A - B = \dfrac{x^2+x+6}{x(x-6)(x+6)}\)

\(\rm \dfrac{\left(x+2\right)}{x^2-36}-\dfrac{\left1\right}{x^2+6x}= \dfrac{x^2+x+6}{x(x-6)(x+6)}\)

Thus, to make the resultant expression subtract the first expression from the second expression.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ1

Answer:

B= left 6 up 7 C=left 2 up 6 D=left 3 up 2 E left 7 up 3

Step-by-step explanation:

I think this is how u do that. I'm not exactly sure but hope u get it right.

Answer:

30 sec.

Step-by-step explanation:

The amount Anneliese started with before her deductions is -$235.00.

Total amount spent = $58.00 + $35.00

= $93.00

Amount left in her account = $-142.00

Amount Anneliese started with = -$93.00 - $-142.00

= -$235.00

Learn more about account balance:

https://brainly.com/question/1115815

#SPJ1

Answer:

658000

Step-by-step explanation:

Answer:

y=50x

Step-by-step explanation:

give brainliest?

Answer:

A.  y = 50x

Explanation:

coordinates: ( 50 , 1 ) , ( 100 , 2 )

slope: (y2-y1)/(x2-x1) = (100-50)/(2-1) = 50

equation using: y = mx +b....where m is slope and b is y-intercept

equation: y = 50x + 0

                y = 50x

The ship started at the Position 0.14 units.

To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.

Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:

Starting position + Distance sailed to the left = Distance to the treasure

Let's assign a variable, "x," to represent the starting position of the ship.

The equation becomes:

x - 0.055 = 0.085

To find the value of x, we can solve this equation by isolating x on one side:

x = 0.085 + 0.055

x = 0.14

Therefore, the ship started at the position 0.14 units.

For more questions on Position .

https://brainly.com/question/31903603

#SPJ8

Answer:

To determine the possible degree(s) of a function from the graph alone, you need to examine the behavior of the graph at the extremes (far left and far right) and consider the number of turning points or changes in direction. Here's a step-by-step approach:

Look at the far left side of the graph: Determine the behavior of the graph as it approaches negative infinity. Does the graph approach a specific value, such as a horizontal line (asymptote) or the x-axis? If the graph approaches a horizontal line, it suggests a polynomial function of even degree. If the graph approaches the x-axis, it indicates a polynomial function of odd degree or possibly a function with a root of multiplicity greater than one.

Look at the far right side of the graph: Determine the behavior of the graph as it approaches positive infinity. Similar to step 1, observe if the graph approaches a specific value or a horizontal line. The behavior at the far right side should be consistent with the behavior at the far left side. This can help you identify if the function is even or odd degree.

Examine the number of turning points or changes in direction: Count the number of times the graph changes direction. These points are where the slope of the graph changes from positive to negative or vice versa. The number of turning points can provide an indication of the degree of the polynomial. For example, if there are two turning points, it suggests a polynomial function of degree 3.

Remember that this method provides potential degrees, but it may not definitively determine the exact degree of the function. Additional information or analysis might be required for a more accurate determination.

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

For similar question on proportion.

https://brainly.com/question/29864115  

#SPJ8

An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

Read more on rotation here: brainly.com/question/28854313

#SPJ1

Answer:

2 times

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

8 x 4 = 32 total coins

32÷8 = 4

Therefore, there are 4 times as many coins as people.

Hope this helps! :)

Answer:

4.0328

Step-by-step explanation:

just do 0.71 multiplied by 5.68 which will give you 4.0328

depending on what digit answer the system takes this is the answer

Answer:

\(A= 35.8\)

Step-by-step explanation:

Given

\(sin(53.2) = cos(A)\)

Required

Find A

In trigonometry

\(sin(\alpha) = cos(\theta)\)

Then

\(\alpha + \theta = 90\)

So, this gives:

\(54.2 + A= 90\)

Make A the subject

\(A= 90-54.2\)

\(A= 35.8\)

The correct answer is (C) \(\angle B \cong \angle C.\) when In the diagram below of circle O, chords AD and BC intersect at E.

What is a circle ?

A circle is a two-dimensional geometric shape that consists of all the points in a plane that are at a fixed distance from a given point, called the center.

In the given diagram, we have a circle O with chords AB, CD, AD, and BC. The chords AD and BC intersect at point E.

Based on the diagram, we can see that the opposite angles in the quadrilateral AEDC are supplementary (i.e., they add up to 180 degrees). Therefore, we have:

\(\angle A + \angle C = 180^\circ\)

Similarly, the opposite angles in the quadrilateral BEFC are supplementary. Thus,

\(\angle B + \angle C = 180^\circ\)

We can rewrite the second equation as:

\(\angle C = 180^\circ - \angle B\)

Substituting this value of \angle C into the first equation, we get:

\(\angle A + 180^\circ - \angle B = 180^\circ\)

Simplifying, we get:

\(\angle A = \angle B\)

Therefore, the correct answer is (C) \(\angle B \cong \angle C.\)

To learn more about chords visit the link :

https://brainly.com/question/1654080

#SPJ1

Answer:

\(\frac{x-4}{5x}\)

Step-by-step explanation:

The equation;

\(\frac{x^{2} - 8x + 16}{5x}\) ÷ x - 4

Factor;

\(\frac{(x-4)^{2}}{5x}\) ÷ ( x - 4 )

Rewrite in fraction form, so that one can perform division

\(\frac{(x-4)^2}{5x} * \frac{1}{x-4}\)

Simplify, cancel out like terms on opposite sides of the fraction bar

\(\frac{x-4}{5x}\)

Answer:

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Step-by-step explanation:

your welcome