The salt content in snack bags of pretzels is Normally distributed, with a mean of 180 mg and a standard deviation of 15 mg. Eighty four percent of bags have a salt content higher than which value?


Find the z-table here.


165.2 mg

179.2 mg

187.0 mg

194.9 mg

I think its (A), 165.2mg

Answers

Answer 1

Answer: Yes you are correct. The answer is choice A

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Explanation:

If you used the z-table, you should find that P(Z < 1) = 0.84 approximately.

So by symmetry, P(Z > -1) = 0.84 approximately as well.

We'll convert the z score z = -1 into its corresponding x score

z = (x-mu)/sigma

-1 = (x-180)/15

-15 = x-180

x-180 = -15

x = -15+180

x = 165

We don't land on any of the answer choices listed, but we get fairly close to 165.2, which is choice A. So you are correct.

I have a feeling that the table you have is probably more accurate than the one I'm using, so it's possible that you'd land exactly on 165.2 when following the steps above.

Answer 2

Answer:

194.9

Step-by-step explanation:

ON EDG


Related Questions

I need help with this​

Answers

Answer:

A. More students prefer Model A1 calculators than the Model C3 calculators.

Derive
Somebody could help me?

check that

Answers

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A group of dental researchers are testing the effects of acidic drinks on dental crowns. They have five containers of crowns labeled V, W, X, Y, and Z. They will randomly select one of the containers to be the control for the experiment by drawing one of five well-mixed slips of paper with the same labels from a hat. Which of the following is the probability model for the control container?

Answers

Answer:

[tex]\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}[/tex]

Step-by-step explanation:

Given

[tex]S = \{V,W,X,Y,Z\}[/tex]

[tex]n(S) = 5[/tex]

Required

The probability model

To do this, we simply calculate the probability of each container.

So, we have:

[tex]P(V) = \frac{n(V)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(W) = \frac{n(W)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(X) = \frac{n(X)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(Y) = \frac{n(Y)}{n(S)} = \frac{1}{5} = 0.20[/tex]

[tex]P(Z) = \frac{n(Z)}{n(S)} = \frac{1}{5} = 0.20[/tex]

So, the probability model is:

[tex]\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}[/tex]

Answer:

answer is V=.20, W=.20, X=.20, Y=.20, X=.20

Step-by-step explanation:

Which of the following best describes a type of growth that is exponential at
first but slows as the amount reaches a certain maximum value?

A. Exponential decay
B. Exponential growth
C. Linear growth
D. Logistic growth

Answers

9514 1404 393

Answer:

  D. Logistic growth

Step-by-step explanation:

The logistic growth function models a situation where the rate of growth is jointly proportional to the population and to the difference between the population and the carrying capacity.

Attached is an example of such a function.

Look at the images above. How are the fish food box and the shipping box similar? How are they different?​

Answers

Answer:

Read below c:

Step-by-step explanation:

Both are rectangular prisms and they have similar dimensions. They are different because one is visibly larger then the other.

hope it helps c:

Owens Orchards sells apples in a large bag by weight. A sample of seven bags contained the following numbers of apples: 23, 19, 26, 17, 21, 24, 22. a. Compute the mean and median number of apples in a bag. (Round your answers to 2 decimal places.)

Answers

Answer:

The mean and median number of apples in a bag are 21.71 and 22 respectively.

Step-by-step explanation:

The mean is the arithmetic mean of a set of numbers. In other words, the mean is the average value of all my data.

The mean is calculated by adding all the values ​​and dividing the sum by the total number of values. In this case:

[tex]Mean=\frac{23+19+26+17+21+24+22}{7}[/tex]

[tex]Mean=\frac{152}{7}[/tex]

Mean= 21.71

The median of a set of numbers is the average number in the set, that is, it is the value that occupies the central place of all the values.

The median can be calculated by putting the numbers in ascending order and then:

if the quantity is numbers it is odd: the median is the number in the center of that distribution. if the number of numbers is even: the median is the mean of the two middle numbers.

In this case:

Putting the numbers in ascending order: 17, 19, 21, 22, 23, 24, 26

Since the quantity is odd numbers, the median is the number in the center of that distribution. So Median= 22

The mean and median number of apples in a bag are 21.71 and 22 respectively.

What is
the solution to the system of equations graphed below?

Answers

Yea I also don’t see a graph sorry

Need help due tomorrow

Answers

Answer:

[tex]Given:[/tex] Δ ABC ≈ ΔDEF

[tex]therefor:[/tex] A(ΔABC)/A(ΔDEF)=(BC)²/(EF)²

⇒ 34/A(ΔDEF)=9²/(13.5)²

⇒34/A(ΔDEF)=81/182.25

⇒A(ΔDEF)=34×182.25/81

⇒Area of ΔDEF=76.5 cm²

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Hope it helps...

Have a great day!!!

what is the slope intercept equation of the line below?

Answers

Answer:

[tex]{ \tt{slope, \: m = \frac{1 - ( - 1)}{1 - 0} }} \\m = 2 \\ y - intercept : y = mx + c \\ { \tt{1 = (2 \times 1) + c}} \\ c = - 1 \\ { \boxed{ \bf{y = 2x - 1}}}[/tex]

A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 5 tables is $53. The total cost to rent 8 chairs and 3 tables is $42. What is the cost to rent each chair and each table?

Answers

Answer:

c=cost of one chair rental

t=cost of one table rental

8c+3t=42

2c+5t=53

multiply the second equation, each term on both sides, by -4

8c+3t=42

-8c-20t=-212

add the two equations

-17t=-170

divide both sides by -17

t=$10 to rent one table

substitute t=10 into either original equation

2c+5(10)=53

2c+50=53

2c=3

c=$1.50 to rent one chair

What is the slope of the line that passes through the points (9, 4) and (9,-5)?
Write your answer in simplest form.

Answers

Answer:

slope=undefined

Step-by-step explanation:

(-5-4)/(9-9)

-9/0

[tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

[tex]\frac{(-5-4)}{(9-9)}[/tex]

[tex]\frac{-9}{0}[/tex]

Because the denominator is 0, the slope is undefined.

Rise over run. The run is 0.

If the integer $152AB1$ is a perfect square, what is the sum of the digits of its square root?

Answers

9514 1404 393

Answer:

  13

Step-by-step explanation:

152AB1 is not a square in hexadecimal, so we assume A and B are supposed to represent single digits in decimal.

If A=B=0, √152001 ≈ 389.9

If A=B=9, √152991 ≈ 391.1

The least significant digit of 152AB1 being non-zero, we know it is not the square of 390. Hence, it must be the square of 391.

For 152AB1 to be a perfect square, we must have ...

  152AB1 = 391² = 152881

The sum of the digits of the square root is 3+9+1 = 13.

What are the solutions to the equation?
x3 – 6x2 – 9x + 54 = 0

Answers

Answer:

x = -3  or x = 3  or x = 6

Step-by-step explanation:

x3 – 6x2 – 9x + 54 = 0

There is no common factor to factor out. There are 4 terms. We try factoring by grouping. Factor a common factor out of the first two terms. Factor a common factor out of the last two terms.

x^2(x - 6) - 9(x - 6) = 0

x - 6 is a common factor, so we factor it out.

(x^2 - 9)(x - 6) = 0

x^2 - 9 is the difference of 2 squares, so we factor it.

(x + 3)(x - 3)(x - 6) = 0

x + 3 = 0  or  x - 3 = 0  or x - 6 = 0

x = -3  or x = 3  or x = 6

Answer:

x=6     x=3   x=-3

Step-by-step explanation:

x^3 – 6x^2 – 9x + 54 = 0

Factor by grouping

x^3 – 6x^2     – 9x + 54 = 0

x^2(x-6)    -9(x-6 ) =0

Factor out x-6

(x-6)(x^2 -9) =0

Notice x^2 -9 is the difference of squares

(x-6)(x-3)(x+3) = 0

Using the zero product property

x-6 =0    x-3 =0   x+3 =0

x=6     x=3   x=-3

Last question pls help me

Answers

Answer:

Step-by-step explanation:

684 dollars

determine the values of X which the sequence
[tex]log3. \: log {3}^{3}. \: log {3}^{x} [/tex]
is (I) arithmetic (II) geometric​

Answers

Answer:

arithmetic

hyj

bhhm

bm.hg

hgjm

hgjgshmih

mhh

jhuu

If a square root parent function is vertically compressed by a factor of 1/6,
what is the equation of the new function, G(x)?
O A. G(x)=1/6square root of x
B. G(x) = Square root of 6x
C. G(x) = 6 square root of x
D. G(x) = -6 square root of x

Answers

Answer:

the answer could be B i think cause that makes total sense

I think the answer is b


At a store, 2 gallons of milk cost $6.
Which is the value of the ratio of dollars to gallons of milk?
0.33
per gallon
$3 per gallon

Answers

Answer:

B

Step-by-step explanation:

$3 per gallon

that is the procedure above

3|3x+4|-7=5 please help

Answers

Answer:

[tex]x = 0[/tex]

Step-by-step explanation:

[tex]3 |3x + 4| - 7 = 5[/tex]

Add 7

[tex]3 |3x + 4 | = 12[/tex]

Divide by 3.

[tex] |3x + 4| = 4[/tex]

Remove the absolute value signs and left with:

[tex]3x + 4 = 4[/tex]

Subtract

[tex]3x = 0[/tex]

[tex]x = 0[/tex]

it’s question number 3 and i know the answer but i need someone to explain to me how to get the answer the answer is B. pls can hurry i need the explanation soon

Answers

Answer:

2+6=8

Step-by-step explanation:

Start at 2

Then since we are adding 6 move 6 units to the right

19/3+[14/3 ÷{10-3(3+1/2-1/4)×1/3}]

Answers

Answer:

= 3 11/20

Sorry I am not doing the step by step.

How to do questions 19 and 20

Answers

Answer & Step-by-step explanation:

Using the information given in the question we can form the following 3 equations (in the order of the first 3 sentences)

w = 2h (twice the price)

t = h - 4 ($4 less)

3w + 2h + 5t = 136 (total purchasing and cost)

We can solve all 3 equations for h first, by substituting the first two equations, into the third equations w and t

3(2h) + 2h + 5(h-4) = 136

Simplify

6h + 2h + 5h - 20 = 136

13h = 136 + 20

13h = 156

h = 156/13

h = $12

Using this information, we can solve for w and t

w = 2h

w = 2(12)

w = $24

And finally

t = h - 4

t = 12 - 4

t = $8

Perform the following series of rigid transformations on ∆ABC: Translate ∆ABC by moving it 5 units to the right and 2 units up. Draw the line y = -x, and reflect ∆A'B'C' across the line. Rotate ∆A''B''C'' counterclockwise about the origin by 270°.

Answers

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is translated a units right and b units up, the new point is at A'(x + a, y + b).

If a point A(x, y) is reflected across the line y = -x, the new point is at A'(-y, -x).

If a point A(x, y) is rotated counterclockwise by 270 degrees, the new point is at A'(y, -x).

Let us assume that triangle ABC has vertices at A(-6, -1), B(-3, -3) and C(-1, -2).

If it is moved 5 units to the right and 2 units up, the new point is at A'(-1, 1), B'(1, -1) and C'(3, 0). If it is reflected across the line y = -x, the vertices are at A"(-1, 1), B"(1, -1) and C"(0, -3). If it is then rotated counterclockwise about the origin by 270°, the new point is at A'"(-1, -1), B"'(1, 1), C"'(3, 0)

please help me please help me​

Answers

14. largest 9510

15. smallest 1000000

16. n+6=22 —> n=22-6 —>n = 16

17. Add : 204 + 38429= 38633

In the diagram attached, ΔABC has coordinates A(1,1), B(4,1), and C(4,5).
Given the function rule
f(x, y) → (x − 5, −y − 2)

Describe the transformation as completely as possible.

The diagram is attached-- Thanks in advance!

(No this is not homework, I was using a study guide I found online to study for a test.)

Answers

Answer:

Step-by-step explanation:

ΔABC has the vertices as A(1, 1), B(4, 1) and C(4, 5).

Rule for the transformation has been given as,

f(x, y) → (x - 5, -y - 2)

By this rule vertices of the transformed image will be,

A(1, 1) → A'(1 - 5, -1 - 2)

         → A'(-4, -3)

B(4, 1) → B'(4 - 5, -1 - 2)

          → B'(-1, -3)

C(4, 5) → C'(4 - 5, -5 - 2)

           → C'(-1, -7)

Someone help so lost I didn’t understand the course and now I’m stuck please help a girl out

Answers

Answer:

the answer is b. you are basically multiplying them

PLZZZZZ HURRY WILL GIVE BRAINLIEST!!!!

Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

Yes, because corresponding sides are parallel and have lengths in the ratio Four-thirds
Yes, because both figures are rectangles and all rectangles are similar.
No, because the center of dilation is not at (0, 0).
No, because corresponding sides have different slopes.

Answers

Answer:

option b

Step-by-step explanation:

both are rectangles and similar measures  

Yes, because both figures are rectangles and all rectangles are similar

The rectangle EFGH is a result of the dilation of rectangle ABCD

What is Dilation?

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the first rectangle be represented as ABCD

Now , the rectangle is dilated by a scale factor k

And , the transformed rectangle is given by EFGH

where the center of origin is the scale factor of dilation

Now , the ratios of the sides of the rectangles will be similar

So , the rectangles ABCD and EFGH are similar

Hence , the dilated rectangle is EFGH

To learn more about dilation click :

https://brainly.com/question/13176891

#SPJ7

Solve 2x2 - 9x - 5 = 0 by factoring.

Answers

AS IN THE PICTURE...........

The degree of this expression 2x+3y=4

Answers

Answer:

1st degree

Step-by-step explanation:

You look at the largest exponet, right here, there are none so it would be 1st degree.

Answer:

1

Step-by-step explanation:

The degree of an expression with multiple exponents is the highest exponent in it. In this expression, there is no expression, so the answer will be 1 because there is no exponent and every variable and number has an invisible 1 as its exponent.

Hope this helps.

What is 10 + 15k equivalent
Plz hurry

Answers

Answer:

if you mean 15k as is 15 thousand then the answer would be 15,010

A professor has learned that nine students in her class of 35 will cheat on the exam. She decides to focus her attention on ten randomly chosen students during the exam. a. What is the probability that she finds at least one of the students cheating

Answers

Answer:

[tex]\frac{73,331}{75,516}\approx 97.11\%[/tex]

Step-by-step explanation:

The probability that she will find at least one student cheating is equal to the probability that she finds no students cheating subtracted from 1.

Each time she randomly chooses a student the probability she will catch a cheater is equal to the number of cheaters divided by the number of students.

Therefore, for the first student she chooses, there is a [tex]\frac{9}{35}[/tex] chance that the student chosen is a cheater and therefore a [tex]\frac{26}{35}[/tex] chance she does not catch a cheater. For the second student, there are only 34 students to choose from. If we stipulate that the first student chosen was not a cheater, then there is a [tex]\frac{9}{34}[/tex] chance she will catch a cheater and a [tex]\frac{25}{34}[/tex] chance she does not catch the cheater.

Therefore, the probability she does not catch a single cheater after randomly choosing ten students is equal to:

[tex]\frac{26}{35}\cdot \frac{25}{34}\cdot \frac{24}{33}\cdot \frac{23}{32}\cdot \frac{22}{31}\cdot \frac{21}{30}\cdot \frac{20}{29}\cdot \frac{19}{28}\cdot \frac{18}{27}\cdot \frac{17}{26}[/tex]

Subtract this from one to get the probability she finds at least one of the students cheating after randomly selecting nine students. Let event A occur when the professor finds at least one student cheating after randomly selecting ten students from a group of 35 students.

[tex]P(A)=1-\frac{26}{35}\cdot \frac{25}{34}\cdot \frac{24}{33}\cdot \frac{23}{32}\cdot \frac{22}{31}\cdot \frac{21}{30}\cdot \frac{20}{29}\cdot \frac{19}{28}\cdot \frac{18}{27}\cdot \frac{17}{26},\\\\P(A)=1-\frac{2,185}{75,516},\\\\P(A)=\boxed{\frac{73,331}{75,516}}\approx 0.97106573441\approx \boxed{97.11\%}[/tex]

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