if michaels score is 87, the class average is 82, and the standard deviation is 4. what is michaels z-score?

Answer:

∠A≅∠Y        AB≅YX

∠B≅∠X          AC≅YZ

∠C≅∠Z         BC≅XZ

ΔACB ≅ ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Using perfect squares simplification, it is found that the value of the desired limit is of -4.

It is the value of a function as x approach

In this problem, the limit we want to find is given by:

[tex]\lim_{x \rightarrow -2} \frac{x^2 - 4}{x + 2}[/tex]

If we just replace x by -2, we end with an undetermined limit, as we have 0/0.

However, the perfect square simplification states that:

a² - b² = (a - b)(a + b).

Hence:

x² - 4 = (x + 2)(x - 2).

Then:

[tex]\lim_{x \rightarrow -2} \frac{x^2 - 4}{x + 2} = \lim_{x \rightarrow -2} \frac{(x + 2)(x - 2)}{x + 2} = \lim_{x \rightarrow -2} x - 2 = -2 - 2 = -4[/tex]

Hence, the value of the desired limit is of -4.

More can be learned about limits at https://brainly.com/question/26270080

#SPJ1

Answer:

The measure of arc DEF is 204° ⇒ answer C

Step-by-step explanation:

Answer:

5 cubic centimeters

Step-by-step explanation:

250 divided by 2 = 125

To get to 125 you can do 5 x 5 x 5.

Since it is a cube you have to do Length x Width x Height which is why you do _ x _ x _.

Answer:

271

Step-by-step explanation:

Add 138 and 133 then you get 271 at the end

The property tax paid by the  Dunnan family based on their millls and the assessed value of the home is  $31,875.

Property tax is the tax that is paid on property that is owned. Tax is a form of complusory payment made to the government.

Property tax = (mills /100) x assessed value

(37.5/100) x 85000 = $31,875

To learn more about taxes, please check: https://brainly.com/question/25311567

#SPJ1

Answer:

c

Step-by-step explanation:

its c bro

Answer:

Step-by-step explanation:

Answer

Given

Area = 576 square feet

dimensions of x feet by x feet



Since both the length and width are the same dimensions, x feet, use the area to calculate the length of the dimension.

×·×=576

[tex]x^{2} = 576\\[/tex]

[tex]\sqrt{x^{2}[/tex] = [tex]\sqrt{576[/tex]

×= 24

Now we have the length of the dimension of the fence, normally, we will be using the four sides to build the fence, but since we will be using the wall of the house as one of the sides, then we will only multiply by 3

               3x24=72

Therefore, the fencing needed is 72 feet.

Answer:

45%

Explanation:

According to the question, we can get:

[tex]N=1+4+18+15+2=4D[/tex]

        [tex]P=\frac{18}{40}[/tex]

            [tex]=0.45[/tex]

            [tex]=45[/tex]%

Therefore, Written as a percent, the experimental probability that the pea pod has 9 peas in it is 45%

Answer:

Hi! The answer is 45%

Step-by-step explanation:

I just took the review and got the answer.

here is proof.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

The point that lies on the bisector of angle PQR in the diagram given is: point Y.

An angle bisector is a segment that cuts an angle into two equal parts.

From the image given, point Y lies directly opposite to vertex Q. Point Y divides angle PQR into equal parts.

Therefore, the bisector of angle PQR is: point Y.

Learn more about angle bisector on:

https://brainly.com/question/24334771

#SPJ1

Answer:

1 : 5000

Step-by-step explanation:

Firstly align the unit

Map 5cm represent 250m = 250x100cm = 25000cm

scale = 5 : 25000 = 1 : 5000

Answer:

30/45 or 2/3

Step-by-step explanation:

If you factor out a 10 from the numerator and a 9 from the denominator, you should get the following:

Numerator = 10 (a + b)

Denominator = 9 (x - y)

Since we know that (a + b) = 3 and (x - y) = 5, we can rewrite it as:

Numerator = 10(3)

Denominator = 9(5)

Therefore, the answer is 30/45, or 2/3.

Hope this helps!

Answer:

405π

Step-by-step explanation:

Use the formula for Volume Of Cylinder (V=πr²h) where "V" represents the volume, "r" represents the radius, and "h" represents the height

The volume and the radius are given. (V=45π, r=3)

1. Solve for height

V=πr²h

45π=π3²h

45π/π=3²h

45=3²h

45=9h

45/9=h

h=5

2. Plug the new radius (3*3=9) into this formula and solve for "V"

V=π9²5

V=π81*5

V=405π

NEW VOLUME AFTER A TRIPLED RADIUS IS 405π

You should discuss the literature that you have read in the analysis is to provide evidence to support the interpretation of the quotation.

The skill of interpretive literary analysis helps us to relate one work of literature to another and thereby be able to draw meaning especially from a quoted text.

The reason why you should discuss the literature that you have read in the analysis is to provide evidence to support the interpretation of the quotation.

Learn more about interpretive literary analysis:https://brainly.com/question/12251019

#SPJ4

Answer:

Here is your answer, this is how you prove it

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

[tex] \tan(\theta) = \frac{perpendicular}{base} \\ [/tex]

we can see we aren't provided with the perpendicular , so let's find it using Pythagoras Theorem !

[tex]H {}^{2} = P {}^{2} + B {}^{2} \\ \\ \dashrightarrow 17 {}^{2} = P {}^{2} + 8 {}^{2} \\ \\ \dashrightarrow \: P {}^{2} = 17 {}^{2} - 8 {}^{2} \\ \\ \dashrightarrow \: P {}^{2} = 289 - 64 \\ \\ \dashrightarrow \: P { }^{2} = 225 \\ \\ \dashrightarrow \: P = \sqrt{225} \\ \\ \dashrightarrow \: P = 15[/tex]

substituting the value of P in the formula

[tex] \tan(\theta) = \frac{15}{8} \\ [/tex]

therefore , option ( B ) is correct !

hope helpful ~

Hi!

[tex]\cfrac{bh}{2}[/tex]

Where b = base and h = height.

In the given problem, the base and height of the triangle are 10 inches and 7 inches.

Now, we can use the formula above.

If we plug in the given values, we have:

[tex]\dfrac{10*7}{2}[/tex]

Multiply 10 and 7:

[tex]\dfrac{70}{2}[/tex]

Divide:

[tex]35[/tex]

Using the triangle area formula, we have gotten a value of 35.

Therefore, the area of the triangle is 35 inches squared.

For a similar problem, see:

https://brainly.com/question/14448075

Answer:

35 inches²

Step-by-step explanation:

Given Base and Height of triangle: 10 inches and 7 inches

To determine the area of a triangle, multiply the base and the height. Then divide the product of the base and the height by 2.

Therefore, the "area of triangle" formula is:

[tex]\boxed{\text{Area of a triangle} = \frac{\text{Base} \times \text{Height}}2}[/tex]

Now, substitute the base and the height in the formula. Then, simplify the expression to determine the area of the triangle provided.

[tex]\implies \text{Area of the triangle} = \dfrac{\text{10} \times \text{7}}2}[/tex]

[tex]\implies \text{Area of the triangle} = \dfrac{70}2} = \boxed{35 \ \text{in}^{2}}[/tex]

Therefore, the area of the triangle is 35 inches².

Learn more about area of triangles: https://brainly.com/question/11456892

The coterminal angle for the -4π/5  are -14π/5 , 6π/5 and reference angle is π/5 respectively.

Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

We have an angle:

-4π/5

To find the coterminal angle, add and subtract by 2π in the angle -4π/5

Coterminal angle:

= -4π/5 - 2π

= -14π/5

= -4π/5 + 2π

= 6π/5

Reference angle:

= π - 4π/5  (as the angle lies in the second quadrant)

= π/5

Thus, the coterminal angle for the -4π/5  are -14π/5 , 6π/5 and reference angle is π/5 respectively.

Learn more about the coterminal angles here:

brainly.com/question/23093580

#SPJ1

[tex]\large\boxed{\bold{d= r ×2}}[/tex]

In this question all the required values are given so we'll simply have to solve.

Let's substitute the values according to the formula.

[tex]\bold{d= 8×2}[/tex]

[tex]\large\boxed{\bold{d= 16 \ ft}}[/tex]

Therefore, the diameter of the given circle is 16 ft.

Answer= Option D

Answer:

?

Step-by-step explanation:

Answer:

rt4564564fr5646

Step-by-step explanation:

The bones at the time they were​ discovered when the radioactive element​ carbon-14 has a​ half-life of total 5750 years are 10062.5-year-old.

Half lives is the time interval which is need to decay the atomic nuclei of a radioactive sample.

There is a scientist who determined that the bones from a mastodon had lost 70.3​% of their​ carbon-14.  Thus, the fraction remaining is,

f=1-(70.3/100)=1-0.703

f=1-(70.3/100)=0.297

Now the fraction remaining can be given as,

f=(1/2)ⁿ

Here, n is the half life elapsed. Put the value of fraction remaining.

0.297=(1/2)ⁿ

n=1.75

The radioactive element​ carbon-14 has a​ half-life of total 5750 years. Thus,

Years=1.75*5750

Years=10062.5

Thus, the bones at the time they were​ discovered when the radioactive element​ carbon-14 has a​ half-life of total 5750 years are 10062.5-year-old.

Learn more about the half lives here;

https://brainly.com/question/2320811

#SPJ1

Answer:

y = kx

step 2 = 2.5

step 3 = 10

Step-by-step explanation:

Just answered on edge, got it correct.

Answer:

Yes, the sequence is geometric.

Step-by-step explanation:

The rule is divide by -3

Multiplying or dividing is a geometric sequence

Answer:

(x−10)(x-5)

Step-by-step explanation:

Answer: (x - 10) ( x -5)

Step-by-step explanation:

x2 - 15x + 50
x2 - 5x - 10x + 50
x (x-5) - 5( x - 10) => ( x -5 ) (x-10)

Answer:

(0,3)

Step-by-step explanation:

Since you're moving up, you add to y the y-intercept.

hope this helps

have a good day

Answer:

0,3 it on the 0 so if you move up 3 it would go to the second number so 0,3

Step-by-step explanation:

the volume of a cylinder is

base area × height.

and the base is a circle, and the area of a circle is

pi×r²

remember, the radius is half the diameter.

so, in our case, the volume is

pi×(18/2)²×20 = pi×9²×20 = pi×81×20 = pi×1620 =

= 5,089.380099... in³ ≈ 5,089 in³

By applying trigonometric reasons, Pythagorean theorem and the definition of circle arc, the measure of the arc ADC is approximately 15.858 centimeters.

Since AB and BC are tangent to the circle, then the triangles OAB and OBC are right angled. We can determine the measure of the angle AOC by using the following inverse trigonometric reason and Pythagorean theorem:

[tex]\theta = 2\cdot \tan^{-1}\left(\frac{\sqrt{10^{2}-4^{2}}}{4} \right)[/tex]

θ ≈ 132.844°

And the measure of the arc ADC is found by the formula for the length of a circle arc:

s = θ · r     (1)

Where:

s = (2π - 132.844π/180) · (4 cm)

s ≈ 15.858 cm

By applying trigonometric reasons, Pythagorean theorem and the definition of circle arc, the measure of the arc ADC is approximately 15.858 centimeters.  

To learn more on arc length: https://brainly.com/question/16403495

#SPJ1