Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. the top 3% of the class is to receive a special award. assuming that the distribution of words read per minute are normally distributed, what is the minimum number of words per minute a student would have to read in order to get the award?

Answers

Answer 1
50% of the class performs above the mean. 47% of the class, above the mean, does not achieve this level. 

From a normal curve table, the z-score that corresponds to 47% from the value to the mean is a z-score of 1.88. Since the z-score represents the number of standard deviations, the value we are looking for is 175 words + (20 * 1.88) = 175 + 37.6 = 212.6. 

Your entry into the Final Exam Shell should be 213.
Answer 2

If Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. The minimum number of words per minute a student would have to read in order to get the award will be: 213 words per minute

Using this formula

Minimum number of words =(z score× standard deviation)  + means

Where:

z score=(100%-3%=97%)

z score= 97%=1.881

Standard deviation=175

Mean=20

Let plug in the formula

Minimum number of words =(1.881×20) + 175

Minimum number of words =37.62+175

Minimum number of words =212.62

Minimum number of words =213 (Approximately)

Inconclusion if Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. The minimum number of words per minute a student would have to read in order to get the award will be: 213 words per minute

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Related Questions

The vector has components +5 and +7 along the x- and y-axes respectively. along a set of axes rotated 90 degrees counterclockwise relative to the original axes, the vector's components are

Answers

Original Vector components are +5 in x-axis & +7 in y-axis,

After rotating 90 degrees counterclockwise,

Now, Vector components are +7 in x-axis & +5 in y-axis.
Refer to the diagram shown below.

Let the coordinates of the rotated vector be (a,b).
From the Pythagorean theorem,
d = √(5² + 7²) = 8.6023

The angle θ is given by
tan θ = 7/5 = 1.4
θ = tan⁻¹ 1.4 = 54.46°
φ = 180 - (90 + 54.46) = 35.54°

The coordinates of the rotated vector are
a = - d cos φ = - 8.6023*cos(35.54) = 7
b = d sin φ = 8.6023*sin(35.54) = 5

Answer:  (-7, 5)

A card is drawn from a standard deck of 52 cards. find p(drawing an ace and 9)

Answers

full deck has 52 cards with percentage 100%
possibility of drawing any one card would be proportion
52(cards in deck) : 100%(full deck has 100%)=1(this is any one card in deck) : X(possibility you are looking for)
X=100/52=about 1.9% of geting Ace 9

A recipe for a batch of cookies calls for 2 1/3 cups of flour for 24 cookies. Manuel wants to make 72 cookies. How many cups of flour does he need

Answers

he needs seven cups to make 72 cookies.
He would at least need 7 cups because you have to multiply 24 by something to get 72 that being 3...... 2x3=6....1/3x3 is another cups. hope this helped. :)

What is the solution of the equation when solved over the complex numbers?

x^2+24=0
x =
or x =

Answers


[tex] {x}^{2} + 24 = 0 \\ (x - \sqrt{24})(x + \sqrt{24} ) = 0 \\ (x - \sqrt{4} \sqrt{6})(x + \sqrt{4} \sqrt{6}) = 0 [/tex]
[tex](x - 2 \sqrt{6})(x + 2 \sqrt{6} ) = 0 \\ so \: x = 2 \sqrt{6} = 4.899 \: and \\ x = - 2 \sqrt{6} = - 4.899[/tex]

Which number sentence best represents this story problem? Carol picks 42 apples. She puts an equal number of apples in each of 6 bags. How many apples are in each bag? A. 42 × 6 = ? B. 42 ÷ 6 = ? C. 42 + 6 = ? D. 42 – 6 = ?

Answers

Hello There!

The correct answer is B. 42 / 6.
This is because we are trying to find the amount of apples per bag and therefore we have to divide the total number of apples by the number of bags.

Hope This Helps You!
Good Luck :) 

- Hannah ❤ 
The correct answer is b

What is the value of the function at x=−3?

Answers

Im guessing you want the y value?
If so it would be 4

Answer:

correct answer is 4

Step-by-step explanation:

What is the answer to John bought a video game on sale for $35. The original price of the game was 3 times that amount. John also bought video game controllers on sale for $28. The original price of the game controllers are 5 times that amount. Together how much money did the video game and controllers cost before they went on sale?

Answers

Sale prices-

Video game: $35
Controller: $28

~~~~~~~~~~~~~~~~~~~~~~~~~

Video game:

35 x 3 = 105

Controller: 

28 x 5 = 140

140 + 105 = 245

Total: $245

What is the area of The shaded sector of the circle

Answers

area of circle = pi r^2 = 81pi

1/3 of circle = 81pi / 3 = 27 pi units^2

answer
B. 27 pi units^2

Answer: 27[tex]\pi[/tex] [tex]unit^{2}[/tex]

Step-by-step explanation: area of circle =[tex]\pi  r^{2}[/tex]

where r is the radius of circle

here r=9

to find the area of circle we cover an angle of 360° but here we have to cover only 120°=360°÷3

so area of shaded region =area of circle÷3

                                            =[tex]\pi[/tex]×9×9÷3

                                            =27[tex]\pi[/tex] [tex]unit^{2}[/tex]

Solving systems of three equations w/ elimination

Answers

I solved with addition elimination, and matrices elimination and received the same answer. (0,0,-3) I hope that helps.

violet chewed 5 times as many pieces of bubble gum in one week as her friend if her friend chewed 12 pieces of bubble gum.how many did violet chew

Answers

I'm not sure if I'm going to be right because it doesn't say if it's 5 times more or less

so I would say it's 5 (12)=60 so I think Violet chewed chewed 60

and if it was asking how many pieces of bubble gum Violet chewed more than her friend it would be 60-12=48
Final answer:

Violet chewed 60 pieces of bubble gum in one week.

Explanation:

To find out how many pieces of bubble gum Violet chewed, we need to multiply the number of pieces that her friend chewed by 5. Her friend chewed 12 pieces of bubble gum, so we can multiply 12 by 5.

12 x 5 = 60

Therefore, Violet chewed 60 pieces of bubble gum in one week.

a right rectangular pyramid is shown. the height of the pyramid is 12 units the length are the width are 6 units and 8 units

Answers

Not enough information

Answer:

The answers are 10, 13, and 12.37

Step-by-step explanation:

I have a Brainliest !!!!!!

Answers

c. home by 17.50 dollars 

What is the least possible integer value for which 40% of that integer is greater than 9.6?

Answers

call the unknown integer x translate 40% of that integer as 0.4x the rest is very straight forward: 0.4x > 9.6 divid both sides of the inequality by 0.4 to find that x > 24 The question specifically says greater (not greater than or equal to) so the correct answer is 25 witch is D

Write the complete balanced equation for the reaction between barium oxide (BaO) and water (H2O). You do not need to make the subscripts smaller; just write them out as regular numbers. For example: H2O.

Answers

so what do we need to do

Answer:

The balanced chemical equation is ;

[tex]BaO(s)+H_2O(l)\rightarrow Ba(OH)_2(aq)[/tex]

Step-by-step explanation:

When barium hydroxide react with water it gives an alkaline solution of barium hydroxide.

The balanced chemical equation is given as:

[tex]BaO(s)+H_2O(l)\rightarrow Ba(OH)_2(aq)[/tex]

according to stoichiometry,when 1 mole of barium oxide reacts with 1 mole of water it gives 1 mole of barium hydroxide.

The square root of 31 is between what two integers

Answers

5^2 = 25
6^2 = 36

NOTE: There must be math program you get to learn for this. Please do

Which property justifies this statement?If x=−2, then 5x=−10.
A.Multiplication Property of Equality
B.Transitive Property of Equality
C.Symmetric Property of Equality
D.Subtraction Property of Equality

Answers

Answer:

Correct option is:

A.Multiplication Property of Equality

Step-by-step explanation:

The Multiplication Property of Equality states that if you multiply both sides of an equation by the same number, the sides remain equal (i.e. equality is preserved).

Here, we are given a equality:

x= -2

Now, on multiplying both sides by 5, the equality will be preserved

i.e. 5x= -2×5

i.e. 5x= -10

Hence, Correct option is:

A.Multiplication Property of Equality

The property of equality that justifies the given statement is the Multiplication Property of Equality

The correct option is A.Multiplication Property of Equality

From the question,  we have that

If x=−2, then 5x=−10

The property of equality that justifies this statement is the Multiplication Property of Equality.

This is because, when both sides of the first equation is multiplied by 5, the result gives the other equation.

That is,

[tex]5 \times x = -2 \times 5[/tex], yields

5x=−10.

Hence, the property of equality that justifies this statement is the Multiplication Property of Equality

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Lori sold 3 times as many raffle tickets as tony. lori sold 24 tickets. how many more raffle tickets did lori sell than tony?

Answers

She sold 16 more than tony because if tony sold 8, 8x3=24 so if you subtract 8 from 24 the eight being how many tony sold. Then you would get 16. Brainliest?

Answer:

Your Answer is C) 16

Step-by-step explanation:

Step 1: Find the number Tony sold.

24 ÷ 3 = 8

Step 2: Find how many more tickets were sold by Lori than Tony.

24 - 8 = 16

Brainliest?

Find the 5th term of the expansion of (x + y)9.

Answers

(r + 1)th term of (x + y)^n  = nCr x^(n-r)y^r

so here we have  9C4 x^(9-4)y^4

=  126x^5y^4  Answer

If a microscope has a series of three lenses that magnify individually 5x, 5x, and 7x, what is the total magnification of the microscope

Answers

175x 
Hope this helps!

The total magnification of the microscope is 175x.

Given that,

If a microscope has a series of three lenses that magnify individually 5x, 5x, and 7x.

Based on the above information, the calculation is as follows:

[tex]= 5 \times 5 \times 7[/tex]

= 175x

Therefore we can conclude The total magnification of the microscope is 175x.

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-19.78 is rational or irrational

Answers

is irrational because Star with number more and 1.

In an isometric transformation, the preimage and image must not __________. A. change size B. rotate C. preserve angle measures D. reflect across the x axis Please select the best answer from the choices provided A B C D

Answers

The answer is most likely A.

What is a equation of the graph of the equation below translated down 3 units y=-x^2

Answers

to move a graph up c units, add c to whole function

going up a negative distance is the same as going down that same distance but positive

so to move y=-x^2 up by -3 units, add -3 to the whole function so we get
[tex]y=-x^2-3[/tex] as the translated equation

I need help with this. 20 points!

If f(x) = 5x - 4, then what is the value of f(7)?

Answers

31 just fill the x with 7
f(7) = 5(7) - 4
f(7) = 35 - 4
f(7) = 31
 Hope this helps in your understanding this problem!!

The prime factorization of a number n can be written as n=pr whose p and r are distinct primes. how many factors does n have not including 1.

Answers

It has 3 factors, p, r, and n.

The total number of factors for a number 'n' with prime factorization [tex]n = p^r * q^s * ... * z^w[/tex] (where 'p', 'q', ..., 'z' are distinct primes and 'r', 's', ..., 'w' are their respective powers) is equal to (r + 1) * (s + 1) * ... * (w + 1).

When we have the prime factorization of a number, determining its total number of factors is a straightforward process. The number of factors of 'n' can be found by considering the powers of its prime factors.

Let's take an example to illustrate this. Consider the number 'n' with prime factorization:

[tex]n = p^r * q^s * ... * z^w,[/tex]

where 'p', 'q', ..., 'z' are distinct prime numbers, and 'r', 's', ..., 'w' are their respective powers.

To find the total number of factors for 'n', we need to consider all possible combinations of its prime factors. For any factor of 'n', we can choose to include 'p' raised to a power ranging from 0 to 'r', 'q' raised to a power ranging from 0 to 's', and so on, for all the distinct primes.

The total number of factors can be calculated using the formula:

(r + 1) * (s + 1) * ... * (w + 1)

This formula works because for each prime factor 'p', we have 'r + 1' options for its power, and similarly for other prime factors. By multiplying all these options, we get the total number of factors.

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The perimeter of a rectangle is 78 cm and the basis measures 27 cm. Calculates the perimeter of the square equivalent to the rectangle.

Answers

78:2-27=12 cm (h rectangle)
27*12=324 cm² (A rectangle)
4*√324=
4*18=
72 cm (perimeter of the square)

100 POINTS!!!!!!
RULES:
HAVE TO ANSWER CORRECTLY
HAVE TO ANSWER ALL 16 QUESTIONS
PLEASE ONLY ANSWER IF YOU ONLY KNOW THE ANSWER PARTIAL ANSWERS OR INCOMPLETE ANSWERS NOT ACCEPTED WILL BE REPORTED
POINT STEALERS BEWARE


1) How many moles are there in 24.5 grams of CoF3?



2) How many molecules are there in 150.00 grams of Na2SO4?



3) How many moles are there in 2.3 x 1024 atoms of sulfur?



4) How many grams are there in 7.40 x 1023 molecules of PH3?



5) How many moles are there in 7.5 x 1023 molecules of H2SO4?



6) How many molecules are there in 55.5 grams of Cu(ClO¬3)2?



7) How many grams are there in 8.20 x 1025 molecules of water?



8) How many molecules are there in 238.05 grams of CO2?



9) How many molecules are there in 2.35 grams of NH4F?



10) How many grams are there in 1.50 x 1023 molecules of N2H6?



11) How many molecules are there in 20.40 grams of SiCl4?



12) How many grams are there in 3.50 moles of AlCl3?



13) How many moles are there in 4.50 x 1022 molecules of CH4?



14) How many molecules are there in 9.34 grams of NO?



15) How many grams does 4.00 moles of UF6 weigh?



16) How many moles are there in 230.0 grams of NH4OH?

Answers

1.  115.9284096. We assume you are converting between grams CoF3 and mole. This compound is also known as Cobalt(III) Fluoride.

2.
Na = 23 
S= 32 
O= 16 

3.  2355.2

4. 7570.2

5. 8.08 g/mol * 1.2 mol = 120 g

6. 0.024083482462885

7. 455176242.02054

srry this is all i can answer
Final answer:

The student's questions involve calculations of moles, mass, and molecule amounts in various chemical compounds based on stoichiometric principles. The answers are given as a sorted list. Values should be verified with available molar masses.

Explanation:

This student's questions relate to moles, mass, and molecule amounts in different chemical compounds, following the principles of

stoichiometry

. Here are the answers, calculated using the appropriate molar mass for each substance:

24.5 grams of CoF3 is approximately 0.294 moles.150.00 grams of Na2SO4 equates to about 1.12 x 1024 molecules.2.3 x 1024 atoms of sulfur is around 38.18 moles.7.40 x 1023 molecules of PH3 is about 61.12 grams.7.5 x 1023 molecules of H2SO4 is around 49.89 moles.

As chemistry problems can be complex, please double-check these answers using your own molar masses.

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Why are two lines with the same y intercept are perpendicular?

Answers

The y-intercept doesn't really play a role in defining what a parallel or perpendicular line is it's just the point @ which the line crosses the y-axis (or the starting point), but in due case It might mean that they have the opposite slope but same y-intercept which is possible (see 1st picture as an EX)

If you want to know why 2 lines are perpendicular or parallel you have to look @ the slope 

Perpendicular: The slope is the negative reciprocal of the slope of the original equation (other line slope) what this means it that you flip the numerator and denominator and make it negative (or positive, depending if it's already negative)

Parallel: The slope is the same (see 2nd  picture as an EX).

Two lines with the same y-intercept are perpendicular because they are only perpendicular if their slopes are the reciprocals of each other's negative values.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The standard form of the lines are:

y = mx + c

Here m is the slope and c is the y-intercept of the line

mM = -1

The M is the slope of the second line which is perpendicular to the first one.

y = Mx + c (with the same y-intercept)

Thus, two lines with the same y-intercept are perpendicular because they are only perpendicular if their slopes are the reciprocals of each other's negative values.

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Given that f(x) = 2x −5, find the value of x that makes f(x) = 15. (5 points)


5

10

20

25

Answers

First you must set f (x) =15:
15 = 2x - 5
Now you must solve like a normal equation:
15 = 2x - 5 )+5
20 = 2*x ):2
10 = x

ANSWER: The value of x is 10
the correct answer is B


name the property of equality or congruence that justifies going from the first statement to the second statement.
ST=QR
QR=ST
a) reflexive property of congruence
b) symmetric property of congruence
c) transitive property of congruence
d) substitution property of congruence

Answers

B is my final answer.

What’s the measure of LMF

Answers

LMF = 17x

so 17x + 3x =180

20x = 180

x = 180/20 = 9

17 *9 = 153

angle LMF = 153 degrees

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