Dr. Smith, a biology professor at Bradford University, has decided to give his classes a standardized biology exam that is nationally normed. This indicates that the normal distribution is an appropriate approximation for the probability distribution of students’ scores on this exam. The probability distribution of students’ scores on this standardized exam can be estimated using the normal distribution shown below.

X
X
Inflection Point
Inflection Point
70
78
86
State the mean of the distribution of the biology exam scores.

State the standard deviation of the distribution of the biology exam scores.

Grading Curve Option I
Originally, Dr. Smith decides to curve his students’ exam grades as follows.

Students whose scores are at or above the percentile will receive an A.

Students whose scores are in the – percentiles will receive a B.

Students whose scores are in the – percentiles will receive a C.

Students whose scores are in the – percentiles will receive a D.

Students whose scores are below the percentile will receive an F.

Find the z-scores that correspond to the following percentiles.

percentile

percentile

percentile

percentile

Using that information, find the exam scores that correspond to the curved grading scale. Assume that the exam scores range from 0 to 100. (Round to the nearest whole number.)

A:     –

B:     –    

C:     –    

D:     –    

F:     

Answer:

[tex]2x = 5 + y \\ y = 2x - 5 \\ when \: x = 0 \\ y = - 5[/tex]

Answer:

16

Step-by-step explanation:

by using pythagorean theorem we know that the equal sides of the isosceles triangle are 5 units in length while the bottom side appears to be 6 units in length.

so we the perimeter is 16

l×d×h

= 9m×4m×5m

= 180m²

Answer:

254.34 in²

Step-by-step explanation:

Assuming that the shape is a circle,

area of circle= πr², where r= radius.

Given that the diameter is 18 in,

radius= diameter ÷2

radius= 18 ÷2

radius= 9 in

Let's substitute r= 9 and use 3.14 as the value of π:

Area of circle

= 3.14(9²)

= 3.14(81)

= 254.34 in²

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

[tex]\\\large \purple{\sf{Formula\:used→}} \\ [/tex]

[tex] \rm{A = \: \pi {r}^{2} (Area \: of \: a \: circle)}[/tex]

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \large \purple{\sf{Given→}} \\ \\ [/tex]

[tex]\rm{Diameter (d)→26 } \\ \rm{\: we \: know \: that \: radius \: is \: half \: of \: diameter} \\ \rm{r = \frac{26}{2} } \\ \\ \rm{r = \cancel \frac{26}{2} } \\ \\ \rm{r = 13}[/tex]

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \\\large \purple{\sf{Let's solve→}} \\ [/tex]

[tex] \rm{A = \pi \times {(13)}^{2} } \\ \\ \rm{A = \pi \times126} \\ \\ \rm{A = \frac{22}{7} \times 126 } \\ \\ \rm{A = \frac {22} { \cancel{7} } \times \cancel{126}} \\ \\ \rm{A =22 \times 18} \\ \\ \rm{A = 396}[/tex]

[tex]\underline{\rule{70mm}{2.2pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

180000

===========

[tex]\rightarrow \sf \dfrac{2^3*5^2*(2*3)^2*(3*5)^2}{3^2}[/tex]

[tex]\rightarrow \sf \dfrac{8*25*(6)^2*(15)^2}{3^2}[/tex]

[tex]\rightarrow \sf \dfrac{8*25*36*225}{9}[/tex]

[tex]\rightarrow \sf \dfrac{1620000}{9}[/tex]

[tex]\rightarrow \sf 180000[/tex]

Answer:

Es b = 180 000.

Step-by-step explanation:

b = 8. 25. 2².3².3².5²

              9

b = 8.25.4.9.9.25

             9

b = 1 620 000

              9

b = 180 000

It would be 12.60 as the profit, while the revenue is 54.60

Therefore, the answer would be

42*.3=

12.6

12.6+42=

54.60

Answer:

The answer is -8.

Step-by-step explanation:

1. Solve the upper half of the expression by following the order of operations:

10² - (100 + 8²)

10² - (100 + 64)

10² - 164

100 - 164

= -64

2. Solve the bottom half by multiplying 2 by itself three times:

2 · 2 · 2 = 8

3. Divide the now given values

[tex]\frac{-64}{8}[/tex]

= -8

hope this helps!

Answer:4. 7, 4 , -3.5, -5

Step-by-step explanation: place on number line and read from right to left

Answer:

102 mm²

Step-by-step explanation:

You can split the shape into two different shapes: a trapezium and a rectangle.

Area of rectangle = length x width

                             = 10 x 3 = 30mm

Area of trapezium = a + b / 2 x h

h = 9 - 3 = 6mm

                              = 10 + 14 / 2 x 6

                              = 72 mm

Total area = 72 + 30 = 102 mm²

Answer:

0.78

Step-by-step explanation:

P(R)=22/100=0.22

R=1

1-0.22=0.78

According to a weather report on the probability that it will rain tomorrow, the probability that it will not rain tomorrow is 89%.

Probability is simply the likelihood that something or an event is to happen.

Now, the probability that an event will not occur is one minus the probability that the event will occur.

Given the data in the question;

The probability that it will not rain tomorrow is one minus probability that it will rain tomorrow.

p⁰ = 1 - p

p⁰ = 1 - 11%

p⁰ = 1 - ( 11 / 100 )

p⁰ = 1 - 0.11

p⁰ = 0.89

p⁰ = 89%

Therefore, According to a weather report on the probability that it will rain tomorrow, the probability that it will not rain tomorrow is 89%.

Learn more about probability here: https://brainly.com/question/11234923

Answer:

x=13

Step-by-step explanation:

The attached photo might help

Answer:

B. 14

Step-by-step explanation:

Add 2 to both sides:)

Answer:

(i) 350 g; (ii) 18 m². This is done by using proportion

Step-by-step explanation:

Answer:

62

Step-by-step explanation:

(x+8)=(2x-15)
8=x-15
+15   +15
23=x

so


23 +8 = 31
23x2-15 = 46-15 =31
Both are the same always since one side is equal to the other
Therefore
62 is the answer!

Answer:

20 newspapers

Step-by-step explanation:

First create an equation.

y = 0.75x + 45

Now substitute 60 y and solve for x.

60 = 0.75x + 45

60 - 45 = 0.75x + 45 - 45

15/0.75 = 0.75x/0.75

x = 20 newspapers

The sequences of transformations that could be applied to the parent function are (e) Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units

The graph that completes the question is added as an attachment

From the attached graph, we have the following points

(3, 0) and (0, 6)

Calculate the equation of the line using

[tex]g(x) = \frac{y_2 - y_1}{x_2 -x_1} * (x - x_2) + y_2[/tex]

This gives

[tex]g(x) = \frac{6 - 0}{0 -3} * (x - 0) + 6[/tex]

Evaluate the quotient

g(x) = -2 * (x) + 6

Expand

g(x) = -2x + 6

This means that the equation of the line is:

g(x) = -2x + 6

So, we have:

f(x) = x as the parent function and g(x) = -2x + 6 as the transformed function.

The transformations from f(x) to g(x) are as follows:

Hence, the sequences of transformations that could be applied to the parent function are (e) Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units

Read more about transformation at:

https://brainly.com/question/13810353

#SPJ1

Answer:

A= $6.10

Step-by-step explanation:

1 book = $2.50

4 books = $10.00

1 bookmark = $1.95

2 bookmarks = $3.90

3.90 + 10.00 = $13.90

20.00 - 13.90 = $6.10

Answer:

false false false true true

Step-by-step explanation:

you got the first four wrong.

Answer:

a. False

b. False

c. False

d. True

e. True

Step-by-step explanation:

If n= 4 then

a. (7*4)^2 ≠ 7^8

b. (-5)^3 × (-5)^4 ≠ (-5)^12 when multiplying numbers together the exponents are added

c. 19^4/19 ≠ 19^4

d. (3*4)^2 = 144 which is 144 = 144

e. (-2/5)^2 = 4/25 which is 4/25 = 4/25 this true because a negative number multiplied by a negative number becomes a positive

I plugged each equation into a calculator and it gave me these answers

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

-8

Step-by-step explanation:

To find mean, average, divide.

-96/12

-8

Answer:

D

Step-by-step explanation:

First, you count the total number of windows. That's 25. Then you count the number of widows with their lights off. That's 15. After this, you divide 15 by 25 to get the percent of the windows turned off. :)

Answer:

Step-by-step explanation:

Answer:

∠EHF = 132°

Step-by-step explanation:

Both angles lie on a straight line.

=====================

Then ∠EHF :

Angles are supplementary hence their sum is 180°

So

So

<EHF=2(66)=132°

Answer:

easy ok first 0 -3 1 -4 2 -5

Step-by-step explanation:

ask me another

The value of x that makes triangle rst similar to triangle hgk is x = -2.2

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

Since both triangles are similar, hence:

GH/RS = HK/ST

(x + 7) / 3 = 8/5

x = -2.2

The value of x that makes triangle rst similar to triangle hgk is x = -2.2

Find out more on similar triangles at: https://brainly.com/question/2644832

Answer:

There both quadrilaterals

Step-by-step explanation: