To help consumers assess the risks they are​ taking, the Food and Drug Administration​ (FDA) publishes the amount of nicotine found in all commercial brands of cigarettes. A new cigarette has recently been marketed. The FDA tests on this cigarette yielded mean nicotine content of milligrams and standard deviation of milligrams for a sample of cigarettes. Construct a ​% confidence interval for the mean nicotine content of this brand of cigarette.

Answer:

The discount is $6, and the original price with the discount is $18.

Step-by-step explanation:

First we need to convert the percent 25%. into a decimal, 0.25.

Now we need to multiply the cost and the percentage. 24 × 0.25 =  6.

The discount is $6.

Now we need to subtract the original price and the discount.

$24 - $6 = $18.

Answer:

Step-by-step explanation:

Let the slope of the first line be m1

Let the slope of the second line be m2

If both lines are perpendicular, then;

m1m2 = -1

Get m1, the slope of the line passing through A (-2, 0) and B (2,-k).

m1 = y2-y1/x2-x1

m1 = -k-0/2-(-2)

m1 = -k/4

Get the slope of the line 3y + 2x = 5

Rewrite the equation;

3y = -2x + 5

y = -2/3 x + 5/3

Hence the slope of the line m2 is -2/3

Since m1m2 = -1, then;

-k/4(-2/3) = -1

2k/12 = -1

k/6 = -1

k = -6

Hence the value of k is -6

Answer:

64%

Step-by-step explanation:

16/25 will give you 64%

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Answer:

64%

Step-by-step explanation:

Answer:

y=-5/2x-16

Step-by-step explanation:

1. Find the slope using the slope formula and the two coordinates provided.

m=y2-y1/x2-x1

Put the y values from both coordinates on top and the x values on bottom.

-6--5/-4--6

Solve for M. -6--5/-4--6 = -6+1/-4+6

= -5/2

Slope is -5/2.

2. Using the slope and one of the coordinates (doesn't matter which), put the equation in point-slope form: y-y1=m(x-x1)

y+6=-5/2(x+4)

3. Distribute the -5/2 to x+4 and simplify (multiply x and 4 by -5/2)

y+6=-5/2x-10

Subtract 6 from both sides to get y by itself.

y=-5/2x-16

4. y=-5/2x-16 is your answer

Answer:

1/6

Step-by-step explanation:

2 is 1/6th of 12

5 is 1/6th of 30

Answer:

C.) 6

Step-by-step explanation:

I multiplied the number 2 by X and my sum was Y.

Answer:

“A systematic arrangement” of data in rows and columns is called Table.

Explanation: A table is used to arrange data in rows and columns

Answer:

D

Step-by-step explanation:

Answer:

71/96 = 0.73958

Step-by-step explanation:

The first one is the answer the second one is that in decimal form

Answer:

the answer is equals to

71/96

Answer:

128

Step-by-step explanation:

Sam has X stamps.

Jill has (576-X) Stamps.

X-x/7 = 6x/7 = Sam's bal.

576-x + x/7 = 576 - 6x/7 = Jill's bal.

1/4(576-6x/7) = 144 - 6x/28

3/4(576-6x/7) = 432 - 9x/14 = Jill's new

bal.

6x/7 + 144-6x/28 = 144 + 24x/28-6x/28 =

144 + 9x/14 = Sam's new bal.

Jill's new bal = Sam's new bal

432 - 9x/14 = 144 + 9x/14

18x/14 = 144-432 = 288

18x = 4032

X = 224

576-X = 576-224 = 352.

Difference = 352 - 224= 128

Answer:

Concept: Arithmetic Sequence & Series

The solution is, the correct formula for the following Arithmetic Sequence:  -4, -1, 2, 5, 8,…, is, an = -4 + 3(n – 1), the value of the n-th term.

We know that,

from Arithmetic Sequence & Series we get,

The nth term of AP : a_n = a + (n – 1) × d

where, a = first term

d = common difference,

Notice the change is +3 for the first iteration and then +3 for the second iteration and so on

i.e. here,

a = -4

d = +3

Hence it must work for any nth variable.

So we have -4+3(n-1)

Hence, we get, an = -4 + 3(n – 1).

To lean more on Arithmetic progression click:

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Answer:

V = 1815 pi units ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

V = pi ( 11)^2 * 15

V = 1815 pi

Answer:

Option A. 0.6 is the right answer.

Step-by-step explanation:

Given information is:

Mean = $240

SD = $60

The probability of Dan making less than $255 has to be found.

Let x = 255

First of all, we will find the z-score of the given value

[tex]z = \frac{x-mean}{SD}\\z = \frac{255-240}{60}\\z = \frac{15}{60}\\z = 0.25[/tex]

Now the z-score table will be used to see the probability of less than 0.25

Using the z-score table, we get:

P(x<0.25) = 0.5987

As the answer choices are rounded off to one decimal place, we will round off our answer to one digit after the decimal point

0.5987 => 0.6

Hence,

Option A. 0.6 is the right answer.

Answer:

Step-by-step explanation:

using supplementary angles we can fine that two angles of a straight line =180

128+?=180 ?=180-128=52

126+?=180 ?=180-126=54

all angles of a triangle add up to 180 degrees

180=52+54+?

94=?

180-94=x

106=x

Answer:

c) is the correct answer

Step-by-step explanation:

Answer:

im going to say (2, -5)

Step-by-step explanation:

Answer:

i think its d. well thats the only answer on there

Answer:

when # cats exceeds 2,313

Step-by-step explanation:

if you graph y = .013x + 2100 and y = .08 + 1000 you will see the lines intersect when the town population is 16,418 and the number of cats equals 2,313.

Answer:

hope this works

Step-by-step explanation:

c

Answer: A

Step-by-step explanation:

Staar testtt

Answer:

-3

Step-by-step explanation:

y= mx + b

b is the y intercept

Answer:

[tex]8 - x[/tex]

Step-by-step explanation:

additive inverse means multiplying by -1

therefore :

[tex] - 1 \times (x - 8) \\ = - x + 8 \\ = 8 - x[/tex]

Answer:

The probability of Dan making less than $255 is 0.5987 or 59.87%

Step-by-step explanation:

Given that:

Mean = μ = $240

SD = σ = $60

We have to find the probability that Dan will make less than $255

First of all, we have to find the z-score of 255

z-score is denoted by z and is given by the formula

[tex]z = \frac{x-mean}{SD}[/tex]

Here,

x = 255

Putting the values

[tex]z = \frac{255-240}{60}\\z = \frac{15}{60}\\z = 0.25[/tex]

Now we have to look at the z-score table to find the probability of 0.25

P(x<255) = 0.5987

Converting into percentage

59.87%

Hence,

The probability of Dan making less than $255 is 0.5987 or 59.87%

Sorry I dunno! :V

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Answer:

Yes

Step-by-step explanation:

yes

They both have interior angles of 90-51-39, which automatically makes them similar.  You could also see the dilation factor of .75 based on the 2 sides of a right angle to prove it.

 ΔABC and ΔDEF are similar by AA Similarity Theorem.

   Given in the question,

In ΔABC,

In ΔDEF,

To prove these right triangles similar, we can use AA-Similarity Theorem,

By applying triangle sum theorem in ΔDEF,

m∠D + m∠E + m∠F = 180°

m∠D + 90° + 39° = 180°

m∠D = 51°

Hence, ∠D ≅ ∠A and ∠E ≅ ∠B

       Therefore, ΔABC ~ ΔDEF [By AA Similarity Theorem]

Learn more,

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Answer:

We have the problem:

"Clare is in charge of getting snacks for a road trip with her friends and her dog. She has

$35 to go to the store to get some supplies. The snacks for herself and her friends cost

$3.25 each, and her dog's snacks costs $9 each."

In this situation we have two variables:

X =  number of snacks for herself and her friends that she buys. Each one of these costs $3.50

Y = number of snacks for her dog that she buys. Each one of these costs $9.

The total cost, in this case, can be written as:

X*$3.50 + Y*$9

And we know that she has $35 to spend, so she can spend $35 or less in the store, then we have the inequality:

X*$3.50 + Y*$9  ≤ $35

Where we defined all the quantities in the inequality.

Answer:

2 books

Step-by-step explanation:

8 x 6 = 48