The grades of a statistics midterm are normally distributed with a mean of 70 and a standard deviation of 2. Without using a calculator, what is the probability that a student will receive a grade between 74 and 76? 4.30% 2.15% 34.12% 13.6%

Answers

Answer 1

Answer:

.13.5%

Step-by-step explanation:

The probability that a student will receive a grade between 74 and 76 is calculated as follows:

µ+2σ=70+2(2)=70+4=74

µ+3σ=70+3(2)=70+6=76

From the above empirical rule it can be observed that 13.5% of observations fall in between 1 and 2 standard deviations above the mean.

Therefore, the probability that a student will receive a grade between 74 and 76 is 13.5%.

Thus, the correct options is A.13.5%.

Answer 2

2.15 is the answer, I did the test on it.


Related Questions

Can someone pls help im new to this

Answers

Answer:

5

Step-by-step explanation:

[tex]\frac{-10}{-2} \\\\5[/tex]

HELP DUE IN 7 MINUTES ​

Answers

Answer:

1. 0,5

2. Move 5 units east

3. You need to plot checkpoint B on a graph, then you need to follow the instructions then you end up on 0,5. Which Ultimately is checkpoint C.

Hope this Helps!

Circumference of a circle is 14 pi what is the area in square inches express your answer in terms of pie

Answers

Answer: 49π inches²

Step-by-step explanation:

The formula for the circumference of a circle = 2πr

Since the circumference is 14π, we have to find the radius in order to solve the area.

2πr = 14π

r = 14π/2π

r = 7

Since area = πr²

= π × 7 × 7

= 49π inches²

Are the figures congruent? Explain.

Answers

I’m on the same question

Solve the following equation.
PLEASE HELP ASAP NO ROCKY THE EQUATION IS ON THE PICTURE !!!

Answers

Answer shekels X= -2,-3,3



WILL GIVE BRAINLIEST!
A custom-illustrated sign or banner can be commissioned for a cost of $20 for the material and $12.50 per square foot for the artwork. The equation that represents this cost is given by y = 12.50x + 20, where y is the cost and x is the number of square feet in the sign.

Graph this equation for values of x from 0 to 20.
The point (5, 82.5) is on the graph. Select a sentence that describes the meaning of this ordered pair.
A. It costs $5 for a custom sign 82.5 ft2 in area.
B. It costs $12.50 for a custom sign 20 ft2 in area.
C. It costs $20 for a custom sign 12.50 ft2 in area.
D. It costs $82.50 for a custom sign 5 ft2 in area.
E. It costs $270 for a custom sign 20 ft2 in area.

Answers

Answer:

D

Step-by-step explanation:

12.50 x 5 = 62.5

62.5 + 20 = 82.5

A boy has 11 coins in dimes and quarters. Their value is $170. How many of each does he have? (Hint: Let x be the number of quarters and 11 - x be the number of dimes.)​

Answers

Answer:

x - number of dimes, y - number of quarters

x + y = 11

0.10 x + 0.25 y = 1.70

0.10 x + 0.25 ( 11 - x ) = 1.70

We can solve it:

0.10 x + 2.75 x - 0.25 x  = 1.70

0.15 x = 1.05

x = 1.05 : 0.15        

x = 7  ( a boy has 7 dimes and 4 quarters )

Answer: D ) 0.10 x + 0.25 ( 11 - x ) = 1.70

Step-by-step explanation:

1-x⁴
is it polynomial?​

Answers

yes 1-x^4 is a polynomial

HELP I HAVE 5 MINS :(

Answers

Answer:

y intercept is (0,-5)

Step-by-step explanation:

Is at x = 0

Intercepts the y axis

Richard is frustrated. He knows the line to the right should have a 3 and a 4 in the equation but he can't remember if it is y = 4x + 3 or y = 3x + 4. a. Which equation is correct? How do you know?

Answers

Answer:

The correct equation is "y=4x+3"

Step-by-step explanation:

Given equation:

[tex]y= 4x+3 \ \ or \ \ y=3x+4[/tex]

As per the given line formula:

[tex]\to y=mx+c[/tex]

The slope(m) of the line is [tex]\frac{4}{1} = 4[/tex]  and y-intercept at 3, that is the point (c). So, the correct equation of the line:   [tex]y = 4x + 3[/tex]

the length of one side of the base of a square pyramid is 15 cm. the height of each face is 40 cm. what is the surface area of the pyramid?

Answers

Answer:

B. 1,425 square centimeters

Step-by-step explanation:

Area of the square pyramid = b² + 2bs

Where,

b = length of square base = 15 cm

s = slant height of each face = 40 cm

Surface area of the pyramid = 15² + 2(15)(40)

= 225 + 1,200

Surface area = 1,425 cm²


plzzz helppp ! what is the value of p(15)?

Answers

p(15) = 6(15^2 + 2) + 13
p(15) = 6(225 + 2) + 13
p(15) = 6(227) + 13
p(15) = 1.362 + 13
p(15) = 1.375
Answer: 1,375

Step by Step:
Using pemdas we replace x as 15
15 squared is 225 + 2 = 227
227 x 6 = 1362
1362 + 13 = 1,375
Hope this helps!

(-8,-2);m=3/4 in point slope form

Answers

Answer:

         y + 2 = ³/₄(x + 8)

Step-by-step explanation:

The point-slope form of the equation that describes the line with a slope of m and containing the point (x₀, y₀) is: y - y₀ = m(x - x₀)

m = ³/₄

(-8, -2)  ⇒    x₀ = -8,  y₀ = -2

Therefore:

y - (-2) = ³/₄(x - (-8))

y + 2 = ³/₄(x + 8)

1.Which answer below represents the
line 5y= 15x+ 10 in the form "y= mx +
c" .

1. 5y= 3x + 2
2.y= 3x + 2
3.y= 5x + 2
O4.y= 3x + 5​

Answers

I think B because you would have to divide by 5 to get y by itself.

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

x = 7

Step-by-step explanation:

15-8=7

Anacondas are snakes found in South America. Anacondas can measure over 1612 feet in length. How many inches are in 1612 feet?

Answers

Answer:

165 inches

Step-by-step explanation:

Jenny wants to buy an MP3 player that costs $30.98. Write an equation so find how much change (x) she receive if she gives the cashier $40. *

Answers

Answer:

40.00-30.98=x

Given triangle abc with vertices A(2,-1), B(5,6), C(-1,4) as shown. Find the number of square units in the area of triangle abs in simplest form.

Answers

Answer:

The area of the triangle is 18 square units.

Step-by-step explanation:

First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:

AB

[tex]AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}[/tex]

[tex]AB \approx 7.616[/tex]

BC

[tex]BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}[/tex]

[tex]BC \approx 6.325[/tex]

AC

[tex]AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}[/tex]

[tex]AC \approx 5.831[/tex]

Now we determine the area of the triangle by Heron's formula:

[tex]A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)}[/tex] (1)

[tex]s = \frac{AB+BC + AC}{2}[/tex] (2)

Where:

[tex]A[/tex] - Area of the triangle.

[tex]s[/tex] - Semiparameter.

If we know that [tex]AB \approx 7.616[/tex], [tex]BC \approx 6.325[/tex] and [tex]AC \approx 5.831[/tex], then the area of the triangle is:

[tex]s \approx 9.886[/tex]

[tex]A = 18[/tex]

The area of the triangle is 18 square units.

Multiply (5x - 2)^2

Answers

Answer: that would b 25x^2-20x+4!

Step-by-step explanation:

Answer:

25x^2-20x+4

Step-by-step explanation:

pls help me with #3 I don’t understand

Answers

Answer:

h ≈ 235

Step-by-step explanation:

We know there is a tower with h height. There is also a wire (that's diagonal) travelling to the ground. It touches the ground. The angle it makes with the ground is 57°.

Refer to the image below of what the problem should look like.

Refer to the trigonometric ratios:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

We can use sine because we are looking for the opposite side (to the angle) and we have the hypotenuse. So:

sine = opposite side/hypotenuse

sin(57) = h/280

sin(57) / 1 = h / 280

Cross multiply:

sin(57) (280) = 1 (h)

Input to calculator:

h = 234.827759...

h ≈ 235

Find the SURFACE AREA of the rectangular prism. LABEL your answer.
5 cm
6 cm
6 cm
What formula will you use to find the area of each side? A=
How many sides does the prism have?
What is the TOTAL surface area? (label your answer)

Answers

Answer:

surface area of prism= 2(lb+bh+lb)

surface area of prism= 2(6×6+6×5+5×6)

surface area of prism= 168cm²

formula=2(lb+bh+hl)

sides=12 sides

total surface area =168cm²

volume of prism=l×b×h

volume of prism=6×6×5

volume of prism=180cm³

Write the numerical expression that represents the following: 6 times the sum of 12 and 8

Answers

Answer:

12+8*6

Step-by-step explanation:

Without computing, tell whether each product or quotient is positive or negative. EXPLAIN WHY.

(5)(-1)(4)

Answers

Answer:

negative because any positive number multiplied by a negative number will be negative, the only way to make it positive is to multiply a negative number by another negative number.

Step-by-step explanation:

Rewrite the expression in the form x^n

Answers

Answer:

[tex]x^{-2}[/tex]

Step-by-step explanation:

[tex]\frac{x^{6}}{x^{8}}\\ = x^{6-8} = x^{-2}[/tex]

−(x − 7)+ 5/3 = 2(x + 9)

Answers

The number I believe you are looking for would be an exact form of -28/9
Or a decimal form would be -3.1 repeating

Find the volume of the cylinder.
Either enter an exact answer in terms of " or use 3.14 for T.
2
units3

Answers

Answer:

56.52

Step-by-step explanation:

pi×r²h

=3.14×3²2

=3.14×9×2

=3.14×18

= 56.52³

3x + 0 = 3x

Need help

Answers

I don’t know how to answer needs to be but I think it’s 3X equals 3X

Answer:

x is equal to all real numbers.

Step-by-step explanation:

3x = 3x

No matter what number you substitute for x, 3x will always equal 3x.

simplify
please help me!!!!

Answers

Decimal form: 5.656854249
Exact form: 4√2

Ed wants to bicycle at least 75 miles this week. The inequality 11 + 4b > 75 can be used to find the average number of miles he should bike on his remaining 4 bike rides this week.

Sorry for the inconvenience, but I need this done and I need help. This is the last question of this quiz. Please Help.​

Answers

Answer: Ed should bike at least more than 16 miles

Step-by-step explanation:

11 + 4b > 75

4b > 64

b > 16

Ed should bike 16 miles

The circumference of a circle is 31.4 millimeters. What is the circle's radius?

Answers

Answer:

62.8

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

you want to divide the circumference by pi which is 3.14 which is 10 and that is the diameter. Now divide by 2 and the answer is 5. Hope this helps :)

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