Solve. Suppose that 1,000 students took a math examination wherein the maximum score that they can obtain is 100. Their average score is 70 with a standard of the deviation of 5. How many of the students obtained a score from 70 to 95?

Answers

Answer 1

Answer:

prolly like 689

Step-by-step explanation:

Answer 2

As per the given data, approximately 499 of the 1,000 students obtained a score from 70 to 95.

What is z-score?

A standardized score is an example of a z-score. A z-score is a measure of how far a data point is from the mean in a distribution.

To solve this problem, we need to calculate the number of students who obtained a score from 70 to 95.

First, we need to calculate the z-scores for these two scores using the formula:

z = (score - mean) / standard deviation

For a score of 70:

z = (70 - 70) / 5 = 0

For a score of 95:

z = (95 - 70) / 5 = 5

Next, we need to find the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or calculator.

The area between z = 0 and z = 5 is approximately 0.499, or 49.9%.

Finally, we can calculate the number of students who obtained a score from 70 to 95 by multiplying this proportion by the total number of students:

Number of students = proportion x total number of students

Number of students = 0.499 x 1000

Number of students ≈ 499

Therefore, approximately 499 of the 1,000 students obtained a score from 70 to 95.

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Related Questions

The area of a square photo frame is 144 cm2 . Find the perimeter of the photo fame, leaving your answer correct to 1 decimal place

Answers

Answer:

48 cm

Step-by-step explanation:

If it's square and the area is 144, then the sides are each 12cm (a = l x w, 144 = 12 x 12)

12cm x 4 sides = 48cm

Answer:

48

Step-by-step explanation:

The area is 144 cm².

A = s²

144 = s²

[tex]\sqrt{144\\}[/tex] = s

12 = s

photo frame is a square.

perimeter of a square = 4 * s

P = 4 *s

P = 4 (12)

P = 48

A trampoline was originally priced at $100 but went on sale for 60% off. If Emmett bought the trampoline and paid 5% sales tax, how much did he pay in total? $

Answers

Answer: $42

Step-by-step explanation:

Since the trampoline was originally priced at $100 but went on sale for 60%, the price paid will be:

= $100 - (60% × $100)

= $100 - (0.6 × $100)

= $100 - $60

= $40

Emmett bought the trampoline and then paid 5% sales tax, the total amount paid will be:

= $40 + (5% × $40)

= $40 + (0.05 × $40)

= $40 + $2.

= $42

She paid $42 in total.

please help will mark brainliest for right answer!
-thanks <3

Answers

It’s answer C you’re welcome!

Answer:

The answer is B

Step-by-step explanation:

x - 2y = 2 3x + 3y = 24

Answers

Answer : yes



Explanation yes

Answer:

Step-by-step explanation:

what the question

have a nice day

what is the soultion to the equation 4/6 x — 1/2x = 3/10(x + 4)

Answers

X = -9 I did this by simplifying both sides of the equation then isolating the variable hope this helps!!!

PLEASE HELP WILL MAKE BRAIN IF YOU HELP!​

Answers

Answer:

60

Step-by-step explanation:

The sum of two interior angles in a triangles is equal to one exterior angle that is supplementary to the third interior angle

3x+4x = 10x - 45

7x = 10x - 45 transfer 45 to the other side of equation and subtract 7x from 10 10

45 = 10x - 7x

45 = 3x divide both sides by 3

15 = x angle B is 4*15 = 60

What fact will help you to find the measure of angles B and C in the diagram shown?
A) An equilateral triangle has 3 congruent angles.
B)
The height of an isosceles triangle bisects the base.

C) The base angles of an isosceles triangle are congruent.
D)
The midsegment of an isosceles triangle is parallel to the base

Answers

Answer:

The Answer is C

Step-by-step explanation:

Look at B and C you can see that they have a line on each angle. Also, know that isosceles have two congruent sides. So when looking at this triangle we can infer that C is our best bet.

Help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help. Help me please

Answers

Answer:

12,300

Step-by-step explanation:

I'll right this as a function to make it easier on me.

f(x) = 7500(1 + 0.8)^x

f(2) = 7500(1 + 0.8)^2

f(2) = 7500(1 + 0.64)

f(2) = 7500(1.64)

f(2) = 12300

Answer:

$8700

Step-by-step explanation:

0.08 x 2 yrs = 0.16

7500 x 0.16 =1200

7500 + 1200 = 8700

Use a 70% discount coupon or 40%, then 20%, then 10% on your whole purchase?

Answers

It would add up to 70% ?

12 is what
% of 200?

Answers

Answer: 6%

pls give me brainliest ty

Step-by-step explanation:

Help me frl :( I don't understand and this is worth 25 point I'm willing to do that

Answers

1.) 3(2c-4)+2c=8c-12
Step 1: Simply both sides of the equations.
8c-12=8c-12
Step 2: Subtract 8c from both sides.
8c-12-8c=8c-12-8c
-12=-12
Step 3: Add 12 to both sides
-12+12=-12+12
0=0
All real numbers are solutions.


2.) A=L•W
6•3x-2
= 18x-2
A= 18x-2

A helicopter flies 665 feet above ground. What is the measure of the angle of depression fro t the helicopter to the girls line of sight

Answers

Answer:

67°

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE FIQURE

From, trigonometry

tan(θ) = opposite/ adjacent

✓The helicopter is 665 feet from ground.

✓Distance of the helicopter and the line of sight of the girl will be the OPPOSITE SIDE, which is

(665ft - 5 ft)

= 600 ft

✓ from the figure, we can see the distance on the Horizontal side which is the ADJACENT SIDE as ( 280 ft)

✓angle of depression can be calculated as

tan(θ) = opposite/ adjacent

tan(θ)= (660/280)

tan(θ)= 2.357

tan-1=(2.357)

θ= 67°

Hence, angle of depression is 67°

Your pay rate is $20 per hour and you have a weekly pay period. You have worked overtime and accumulated 50 hours for the week. You get paid time and a half for overtime hours. Calculate your gross pay. *

Answers

Answer:

$1200 gross pay

Step-by-step explanation:

if you worked 40 hours normally and had 10 hours over time, that equation for the gross pay would be X = 20(40) + 30(10)

X = 20(40) + 30(10)

X = 800 + 300

X = 1200

If y=−3, then
4y
4+y

=

Answers

Answer:

4y4+y is 4x-3x4+-3 so the answer is -51

Step-by-step explanation:

4 times -3 is -12

-12 times 4 is -48

-48 plus -3 is -51

hope this is right lm.ao

Answer:

4 x -3 + 4 = 5

4 x -3= 1

4 + -3 =1

Step-by-step explanation:

I checked the calculator (Sorry if I’m wrong)

Janine graphs these two lines and finds that they intersect.
y = -x + 1
2x + 3y = 6
Select the number from the drop down menu that correctly completes the
statement.
The y coordinate of the point of intersection is choose...

Answers

Answer:3

Step-by-step explanation:

Please help me asap. No links or I will report you
8th Grade

Answers

Answer:

D. square root of 7 to the power of 3

R. b=6/8

Maria is in charge of making punch for the party she adds two quarts of water to 1 quart of orange juice and 2 quarts of mango juice then she adds one quart of crushed strawberry juice and 2 quarts of pineapple juice to the mixture how many quarts of punch does Maria make?

Answers

Answer:

8 quarts

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Water = 2 quarts

Orange Juice = 1quarts

Mango Juice = 2 quarts

Strawberry juice = 1 quart

Pineapple Juice = 2 quarts

So, Total mixture = Sum of all ingredients in quarts

= 2 + 1 + 2 + 1 + 2 = 8 quarts

Hence, Maria makes 8 quarts of punch.

Find the gradient for y= 1/4x-2​

Answers

Answer:

1/4

Step-by-step explanation:

comparing with y=mx+c

The point (-3, 2) lines on a circle whose equation is (x + 3)2 + ( + 1)2 = r2. Which of
the following must be the radius of the circle?

Answers

Answer:

3 units

Step-by-step explanation:

Equation of the circle is:

[tex] (x+3)^2 +(y+1)^2=r^2 [/tex]

[tex] \therefore [x-(-3)] ^2 +[(y-(-1)] ^2=r^2 [/tex]

Equating it with

[tex] (x-h)^2 +(y-k)^2=r^2 [/tex]

We find: h = - 3 & k = - 1

Center of the circle (C) = (-3, - 1)

Since, the point (-3, 2) lies on the circle, therefore radius of the circle wii be equal to the distance between the center of the circle (-3, - 1) and the point (-3, 2) which is on the circle.

Therefore,

[tex] r = \sqrt{[-3-(-3)]^2 +[2-(-1)]^2} [/tex]

[tex] r = \sqrt{[-3+3]^2 +[2+1]^2} [/tex]

[tex] r = \sqrt{[0]^2 +[3]^2} [/tex]

[tex] r = \sqrt{0 +9} [/tex]

[tex] r = \sqrt{9} [/tex]

[tex] r = 3\: units [/tex]

Mr. D'Agostino decided he wanted to build a pool in his backyard this summer. He sketched a drawing that had a scale of 1 in. = 4 feet. If the drawing had a length of 4 feet and a width of 5 feet, what is the actual area of the pool?

Answers

Answer:

46080 ft²

Step-by-step explanation:

Given :

Scale :

1 in = 4 feets

Recall :

I foot =. 12 inches

Length of drawing = 4 feets

Length of drawing in inches = 4 * 12 = 48 inches

Width of drawing = 5 feets

Width of drawing in inches = 5 * 12 = 60 inches

Actual length of pool = 48 * 4 = 192 feets

Actual width of pool = 60 * 4 = 240 feets

The actual area of the pool :

Length * width

192 feets * 240 feets = 46080 ft²

Stacy made 3 of her car payments late and was fined 3 late fees. The total change to her savings from late fees was - $24. How much was each late fee?​

Answers

Answer:

$8

Step-by-step explanation:

I got my answer of $8 because I knew that the total amount of money she was charged for late fees was $24, and she was charged for 3 late fees. Then, I did $24 divided by 3 late fees and got $8 per late fee as my answer.

24 divided by 3 equals 8.

The ratio of the number of girls to the number of boys in a sports club was 4:7. There are 18 more boys than girls in the club. How many pupils are in the club ALTOGETHER?

Answers

Answer:

66

Step-by-step explanation:

7 - 4 = 3

18 ÷ 3 = 6

6 × (4 + 7) = 66

plss help i really need this! i really need serious answer :( ​

Answers

Answer:

1) 4

2) 15/2

3) 75

Step-by-step explanation:

Answer:

BD is midsegment parallel to CEMidsegment is the half the parallel side

1. If BD = 2, then CE = 2*BD = 2*2 = 4

2. If AC = 15, the AB = 1.2*15 = 7.5

3. If m∠ADB = 75°, then m∠AEC = m∠ADB = 75° as corresponding angles

4. If AE = 6x + 8 and BD = 18, then x is:

this is confusing, there is no direct relationship between these two segments

5. If BD = x + 1 and CE = x + 10 then:

2(x + 1) = x + 10 ⇒ 2x + 2 = x + 10 ⇒ x = 8

What are the solutions to the system of equations? y=2x^2−6x+3 y=2x+3

Answers

Answer:

Step-by-step explanation:

y=2x²-6x+3

y=2x+3

2x²-6x+3=2x+3

2x²-6x+3-2x-3=0

2x²-8x=0

2x(x-4)=0

x=0,4

y=0+3=3

and y=2(4)+3=11

so solutions are (0,3) and (4,11)

Quick Help Please
anyone

Answers

Answer:

1) False

2) True

3) a) True b) False

4) False

Step-by-step explanation:

1)

Two-point are collinear if they lie in the same line. The vector -2AB is antiparallel to the vector AB then it is False.

2)

A unit vector could be difinede as:

[tex]\vec{u}=\frac{\vec{v}}{|\vec{v}|}[/tex]

Terefore, [tex]\frac{1}{AB}\vec{AB}[/tex] is a unit vector. It is True.

3)    

a) If AB=-3AC

The points, A, B, and C are collinear, because all of them lie in the same line. True

b) Let's take the modulus in each side.

[tex]\vec{AB}=-3\vec{AC}[/tex]

[tex]|\vec{AB}|=|-3\vec{AC}|[/tex]

[tex]|\vec{AB}|=|-3||\vec{AC}|[/tex]

[tex]|\vec{AB}|=3|\vec{AC}|[/tex]

So it is False.

4)

If we put the vector AI = 3/2 AB into the first equation we will have:

[tex]2(-\frac{3}{2}\vec{AB})+3\vec{IB}=-3\vec{AB}+3\vec{IB}[/tex]

And we can not say that it is a cero vector, so it is False.

I hope it helps you!

Help Please! :((( answer correctly please

Answers

Answer:

ILOVEMATH

10 = 90

11 = 35

12 = 16

13 = 200000

14 = 19

Step-by-step explanation:

The magic word is I love math

answer to 7x^2 - 3x + 6 = 0

Answers

Answer: 2.7

Step-by-step explanation: Hope this helps!

Answer:

(3 - [tex]\sqrt{159}[/tex]) / 14 ≈ -0.7

(3 + [tex]\sqrt{159}[/tex]) / 14 ≈ 1.1

Step-by-step explanation:

this quadratic has no real roots because of the negative square root

What is the Decimal expansion of 16/9

Answers

Answer:

1.7777777778

Step-by-step explanation:

The decimal expansion of 16/9 is 1.77.

What is decimal?

Decimal is a fraction whose denominator is a power of ten and whose numerator is expressed by figures placed to the right of a decimal point.

Given is to find out the decimal expansion of 16/9.

We can write the decimal expansion of 16/9 as -

16/9

(9 + 7)/9

(9/9 + 7/9)

1 + 7/9

1 + 0.77

1.77

Therefore, the decimal expansion of 16/9 is 1.77.

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What Is the first step in solving this quadratic equation
X^2+5x=6

A. Combine like terms
B. Set each factor equal to 0
C. Subtract from both sides to set the equation equal to 0
D. Factor

Answers

Answer:

Step-by-step explanation:

We need to move the 6 so that all three terms are on the left and only 0 is present on the right side:  To do this, we (C) subtract 6 from both sides to set the equation equal to 0.

x^2 + 5x - 6 = 0

Find the measure of an angle between 0º and 360º coterminal with an angle of –234º in standard position.

a.144º

b.126º

c.234º

d.54°​

Answers

Answer:

126°

Step-by-step explanation:

hello :

234°=360°-126°..... so:

- 234°=-360°+126°

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