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A normal distribution has a mean of 102 and a standard deviation of 2.9.

What is the z-score of 105?

Enter your answer, rounded to the nearest hundredth, in the box.

Answers

Answer 1

Answer:

the z score of 105 is 1.03

Step-by-step explanation:

Given that

the mean is 102

And, the standard deviation is 2.9

We need to find the z score of 105

As we know that

Z score = (Observed value - mean) ÷ standard deviation

= (105 - 102) ÷ 2.9

= 1.03

Hence, the z score of 105 is 1.03

The same would be considered and relevant


Related Questions

What is the measure of arc BC?

Answers

9514 1404 393

Answer:

  100°

Step-by-step explanation:

Arc BC is twice the measure of inscribed angle BEC, so is ...

  arc BC = 2×50°

  arc BC = 100°

Answer:

Step-by-step explanation:

The inscibed angle E is 1/2 the measure of the central angle P so P is 100 degrees, and arc BC is also 100 degrees.

Please help!!
find the value of the trig ratio.

Answers

Background:

So with sine cosine and tangent, try remembering the following:

Sin : Opposite / Hypotenuse

Cos: Adjacent / Hypotenuse

Tan: Opposite / Adjacent

Or just remember "Soh-cah-toa".

Thinking Process:

Anyways, with this, its asking for the sine ratio of angle Z. So we need the opposite side length and the hypotenuse side length

For the opposite side length, look to see where the angle is "opening" up towards, like a door that is opening. With this, Angle Z is opening up towards the Side XY, which has a length of 21.

To find the hypotenuse, it is always the largest side length of a right triangle. It is also where the right angle opens up it's "door" up to. This would be Side XZ, which has a length of 29.

Answer:

With both of these, back to the ratio formula:

Sin : Opposite / Hypotenuse

To finish the question, simply plug in the values that were found above.

This will give you:

Sin Z : 21 / 29

This will be Choice A.

can someone plz help

Answers

When I put the right answer it says wrong

line segment AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides line segment AB in a 1:2 ratio?

Answers

Answer: Section formula

Step-by-step explanation:

Given

The line segment AB with endpoints [tex]A(2,2)[/tex] and [tex]B(14,14)[/tex] is divided by a point X in the ratio 1:2

To verify that X divides the line segment in the ratio 1:2, we will use section formula. Section formula tells the coordinates of the point which divide the line segment in the certain ratio or vice-versa.

We will assume that X divides AB in k:1 and insert the values in the section formula. If the ratio k:1 comes out to be 1:2, then it verifies the claim.

The slope of the line below is -0.75. Write the equation of the line in point-
slope form, using the coordinates of the labeled point. Do not use parenthesis
on the y side.
(2, -1)

Answers

The answer is: y + 1= -0.75(x - 2)

I hope it helps you and good luck in the quiz :)

Solve the quadratic equation by using either a numeric or a graphic approach.
x2 - 12x – 144 = 0
a. x= -12.4 or x = -7.4
c. x = 9.4 or x = -7.5
b. x = 19.4 or x = -7.4
d. x = 9.4 or x = -3.4

Answers

Answer:

B

Step-by-step explanation:

Donnie is packing for a
camping trip. He plans to bring 2 pairs
of shorts and 4 t-shirts. How many
different outfit combinations can he
make?
(No links please :D)

Answers

Answer:

8

Step-by-step explanation:

4x2=8

Use the distributive property to find the equivalent expression. 9(2 + 3x) =

Answers

Answer:

9(2+3x)

9*2+9*3x

18+27x

Step-by-step explanation:

How many 1/3s are in 1 2/3?

Answers

Answer:

12

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

3/3+2/3 = 5/3

Answer is 5

Which graph represents exponential decay?
80
80
80
180
80
60
60
40
60
40
20
90
40
20
20
20
2.
2
3
3
2 3
e

Answers

Answer:

d

Step-by-step explanation:

Answer: HURRY I need it quick and will give Brainliest Which value of x satisfies the equation StartFraction 12 over StartRoot x plus 2 EndRoot EndFraction plus 8 equals 10?

Answers

Answer:

D

Step-by-step explanation:

Struggling with these last two. Thanks so much!!

Answers

Answer:

1. C

2. D

Step-by-step explanation:

1. first find the slope by using the formula (y2-y1)/(x2-x1). We need to find the equation for CE so use points C (0, 1) and E (5, 5). (5-1)/(5-0) = 4/5, which is the slope. from there u can tell that the answer is the third choice, which let's say is C, because the y intercept of the line is 1.

2. Do the same thing except with points A (-5, 1) and D (0, 6). (6-1)/(0-(-5)) = 1

The y intercept is 6 because that is where the line intersects the y axis, or where x is 0.

so the equation is y=x+6, which is just the last option, let's say D, but just rearranged

the first one C
and the second one D


Use what you've just learned to answer these questions The set of all complex numbers with a given modulus (such as 5) always has the shape of a The modulus represents the of that shape​

Answers

Answer:

circle

radius

infinite

Step-by-step explanation:

have a wonderful day <3

If z is the complex number then IzI = 5 represents the equation of the circle.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

Given:

The equation of the circle.

IzI = 5.

The set of all complex numbers with a given modulus (such as 5) always has the shape of a circle.

And the modulus represents the radius of the circle.

Therefore, the modulus represents the radius of the circle.

To learn more about the circle;

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Find the area of rectangle ABCD

Answers

Answer: 12

Step-by-step explanation:

You can find the area of a rectangle that forms around it, and then subtract the little extra triangles. You can form a 5 by 5 square around the points. There are 4 extra little triangles. Two of them have a base and height of 2 and 2. Two of them have a base and height of 3 and 3. So you get the total area of those 4 triangles to be: 2+2+4.5+4.5=13. So 25-13=12.

Need help ASAP plz !!!!!

Answers

Answer:

yep that is correct!

Step-by-step explanation:

Theorem of Pythagoras

hopefully the picture is clear and understandable!

:)

A. 20
b. 5
c. 40
d. 45

Answers

Answer:

C, 40

Step-by-step explanation:

You can set up the equation as 20+4x=180

180 is the total angle of the line

4x=160 and divide each side by 4

x=40

I think it could be B

By divide but iam not sure sorry if it wronge

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Step 2 of 2 : Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level. Using the data, construct the 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level. Round your answers to three decimal places.

Answers

Answer:

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose a sample of 292 tenth graders is drawn. Of the students sampled, 240 read above the eighth grade level.

So 292 - 240 = 52 read below or at eight grade level, and that [tex]n = 292, \pi = \frac{52}{292} = 0.178[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.9[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 - 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.149[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.178 + 1.28\sqrt{\frac{0.178*0.822}{292}} = 0.207[/tex]

The 80% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.149, 0.207).

Some one help will give brain

Answers

Answer:

what the link? didfbdsfaahsdfhsd

Step-by-step explanation:

Simplify -4(2x - 3) + 7 x – 1.​

Answers

Answer:

-x+11

Step-by-step explanation:

The answer is -x+11

ANSWER ASAP! WILL MARK BRAINLIEST!

Select all the correct answers.
Which two tables represent the same function?
х|у
4|8
6|7

х|у
4|5
6|4

х|у
2|8
8|5

x|y
2|10
6|14

x|y
2|9
8|6

Answers

Answer:

The first and last set

y = (-1/2) + 10

Step-by-step explanation:

Two points form a line

The first and last set have a slope of -1/2

and b intercept of 10

х|у

4|8

6|7

y = (-1/2) + 10

and

x|y

2|9

8|6

y = (-1/2) + 10

The requried, tables that represent the same function are tables 1 and 3.

What is function?

In mathematics, a function is a relationship between two sets of numbers, known as the domain and range, in which each element in the domain is associated with exactly one element in the range.

Here,
The tables that represent the same function are:

x|y

4|8

6|7

x|y

2|8

8|5

For two tables to represent the same function, they must have the same output for the same input. In the first table, input 4 gives output 8 and input 6 gives output 7. In the second table, input 2 gives output 8 and input 8 gives output 5. Therefore, these two tables represent the same function.

The other tables do not represent the same function, as they have different outputs for the same input values.

Learn more about function here:

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don’t mind the pencil writing

Answers

Answer:

Length = 22 cm

Width = 4 cm

Step-by-step explanation:

Area = 88 cm²

Length = x + 7

Width = x - 11

Area of rectangle = length*width

Therefore:

(x + 7)(x - 11) = 88

x(x - 11) +7(x - 11) = 88

x² - 11x + 7x - 77 = 88

Add like terms

x² - 4x - 77 = 88

x² - 4x - 77 - 88 = 88 - 88

x² - 4x - 165 = 0

Factorize

x² - 15x + 11x - 165 = 0

x(x - 15) +11(x - 15) = 0

(x + 11)(x - 15) = 0

x = -11 or x = 15

Let's use the positive number.

Therefore:

Length = x + 7

Plug in the value of x

Length = 15 + 7 = 22 cm

Width = x - 11 = 15 - 11 = 4 cm

Which equation represents the data in this function table?


A. y = x - 8
B. x= y + 8
C. y = 3x
D. y = x + 3

Answers

Answer: The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .

The answer is not b

Step-by-step explanation:

Tessellations

Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1,4), R(-2, -4) and
S(2, -4) under the translation (x,y) ⇒ (x-5,y+3)

a. P' (-4, 7), Q' (-6, 7), R' (-7, -1) and S' (-3, -1)
b. P' (6, 7), Q' (4, 7), R' (3, -1) and S' (7, -1)
c. P' (-4, 1), Q' (-6, 1), R' (-7, -7) and S' (-3, -7)
d. P' (6, 1), Q' (4, 1), R' (3, -7) and S' (7, -7)

Please select the best answer from the choices provided

Answers

Answer:

A. P' (-4, 7), Q' (-6,7), R' (-7, -1) and S' (-3, -1)

Step-by-step explanation:

I calculated it logically

Can somebody please help me out please my grads are bad

Answers

Triangle A-Right
Triangle B-Right
Triangle C-Obtuse
Triangle D-Acute

HELP PLEASE
i think i’m correct but i don’t know the answer for the last one at the bottom!!!

Answers

Answer:

7.07

Step-by-step explanation:

Which of the following equations is a solution for 5745?
A. 45 = 5
B. x2 = 45
C.x = 45
D.NXS = 45

Answers

Answer:

c

Step-by-step explanation:

How many fifths must be added to 3.4 to total 4?

Please Help Immediately

Answers

the amount of fifths that must be added to 3.4 to total 4 is 6

Suppose you roll a 6-sided number cube twice, and each time you
rolled a 4. a) Is the rolling of the number cube twice independent or
dependent events? b) What is the probability of rolling two fours? c)
Explain the difference between independent and dependent events.

Answers

a) independent
b) 1/36
c) an independent event can include repeating an action like rolling a dice. A dependant event is the outcome of the first event and how it affects the second.

Which figure shows a reflection of ​pre-image QRS​ over the line t?

I need help PLSSSSS 50 points!!!

Answers

The first one, it is mirroring it and if you were to fold it in half it would be the same

Given a circle with a circumference of 30pi inches, solve for the exact area of a sector in terms of pi, whose central angle is one-fifth of the measure of the
circle.

Answers

30 pi inches divided by the one fifth angle is gonna be 6
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