A chemistry teacher wants to improve exam scores by incorporating more interactive in-class activities. The mean exam score for all her previous classes is 68% with standard deviation 10%. After trying out the interactive in-class activities for her current class, this class got a score of 75%. There were 25 students in the class. She decides to calculate a 95% confidence interval for what the average exam score would be if she continued this method for all classes.

Answer:

[tex]\Large \boxed{\sf A}[/tex]

Step-by-step explanation:

[tex]\displaystyle \left(\frac{2}{3}\right)^4[/tex]

n  → exponent, means to multiply the base number by itself n  no. of times.

Here we multiply the base number by itself 4 times.

[tex]\displaystyle \frac{2}{3}\cdot \frac{2}{3}\cdot \frac{2}{3}\cdot \frac{2}{3}[/tex]

Answer: A.

To expand a exponent, you'll find the number how much it powers by and expand it by what the power or exponent number represents.

The fraction is 2/3 and the exponent is 4. Like I've said before, to expand it you'll find the number how much it powers by.

In the equation, 2/3 is going to the 4th power, so we will expand the fraction 4 times.

2/3 × 2/3 × 2/3 × 2/3

is 2/3 to the 4th power in expanded form.

Hence, A is the answer.

The difference in length between the longest ski trail and the shortest ski trail is 7/4.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Length of the longest ski trail = 3 1/8 = 25/8

Length of the shortest ski trail = 1 3/8 = 11/8

Difference in length between the longest ski trail and the shortest ski trail:

= 25/8 - 11/8

= 14/8

= 7/4

Thus, the difference in length between the longest ski trail and the shortest ski trail is 7/4.

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Answer:

6x ≥ 500

Step-by-step explanation:

I took the test but also it means that in six months, you have to save that amount of money to get exactly or more than 500, so this would be the correct answer!

The surface area of the prism is 108 m².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given is the figure of a triangular prism.

Triangular prism consists of two triangular bases and three rectangular lateral faces.

Triangular base is right triangle.

Surface area of prism = area of bases + area of lateral faces

Area of a triangular base = [tex]\frac{1}{2}[/tex] × base × height

                                          = [tex]\frac{1}{2}[/tex] × 4 × 3

                                          = 6 m²

Area of two triangular bases = 2 × 6 = 12 m²

Area of a rectangle = length × width

Area of rectangular faces = (8 × 5) + (8 × 4) + (8 × 3)

                                           = 40 + 32 + 24

                                           = 96 m²

Total surface area = 12 m² + 96 m² = 108 m²

Hence the total surface area of the prism is 108 m².

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Step-by-step explanation:

• 5X + 2Y = 48

• 2Y = 48 - 5X

let's use this and replace it on the second equation

• 3X + 2Y = 32

• 3X + 48 - 5X = 32

• 3X - 5X = 32 - 48

• -2X = -16

• X = 8

now use the X value we found to find the Y

• 5X + 2Y = 48

• 5*8 + 2Y = 48

• 40 + 2Y = 48

• 2Y = 48-40

• Y = 8/2

• Y = 4

A: x = $8, y = $4

Answer:

y+4 because bishh that's the answer lol your welcome

Answer:

18 assignments left

Step-by-step explanation:

If my answer was wrong then im sorry

100%-40%=60%×30÷100=18

Answer:

184,704

Step-by-step explanation:

because 52 * 3552 is 184,704

the increase or decrease in profit

Step-by-step explanation:

Answer:

the profit earned for each box of cookies sold

Step-by-step explanation:

Answer:

271

Step-by-step explanation:

Answer:

$279

explanation:

Answer:

The answer  is D the last one

Hope this helped

Answer:

1)x=71     2) =137

Step-by-step explanation:

1) 180-32=148 you minus it from 180 because the angles on a straight line add up to 180

2x+6=148

2x=142

x=71

2) 180-39=141

x+4=141

x=137

Answer:

b

Step-by-step explanation:

b because the angles of a trinagle are accurate for the cm. And because the angles of traingles are small.

Answer:

85 cents

Step-by-step explanation:

34÷40= .85

adding characters to get to 20

Answer:

48

Step-by-step explanation:

6+x/4 = 18

x/4 = 12

x= 48

Answer:

x = 48

here's your solution

=>. let the number be. X

=> now , quater of this number = X/4

=> then 6 is added to it

=> we get this. =. 6 + X/4

=> it is given that this number is equal to 18

=>. so, our final equation is 6 + X/4 = 18

=> solve , X/4 = 18 - 6

=> X/4 = 12

=>. X = 12*4

=> X = 48

hope it helps

Answer

80oz

Hope

it helps

Agnete consumes 1.68 grams of caffeine in a week.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

We know that Agnete drinks 3 cups of drip coffee every day, and each cup contains 8 oz of coffee, which is equivalent to 80 mg of caffeine.

To find out how many grams of caffeine Agnete consumes in a week, we can start by calculating the total amount of caffeine she consumes in a day:

Total caffeine in a day.

= 3 cups x 80 mg/cup

= 240 mg

Then, we can multiply this value by 7 to find the total amount of caffeine she consumes in a week:

Total caffeine in a week = 240 mg/day x 7 days/week = 1680 mg

To convert milligrams (mg) to grams (g), we divide by 1000:

Total caffeine in a week = 1680 mg / 1000 = 1.68 g

Therefore,

Agnete consumes 1.68 grams of caffeine in a week.

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Answer:

7

Step-by-step explanation:

3 + 4 = 7.

So, therefor, x = 3

Answer:

104 degrees

Step-by-step explanation:

360-76(2)= 208

208 divided by 2= 104 degrees

Answer:

$24

Step-by-step explanation:

Fist, you will multiply the percent, 15, and the total money amount, 160, which you would get 2,400. Then, divide 2,400 by 100, and there you will get the tip, $24. I hope this helps :)

Answer: it’s should be -300

Step-by-step explanation:

Answer:

The answer is z= 1,-1+i[tex]\sqrt{6}[/tex], -1-i [tex]\sqrt{6}[/tex]

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The distance between points A and B is 7.

Have a great day! :)

and can I please have brainliest?

Answer:

the last one

Step-by-step explanation:

√ 100  √ 2

√ 10  √ 10  

10 √ 2

Answer:

Step-by-step explanation:

20,24,25,27,31,35,38

minimum;20

medium: 27

maximum: 38

lower quartile: 24

upper quartile:35

put numbers in number order

the first number is the minimum, the last number is the maximum. the middle number "split" is the median.

quartiles are the numbers in the middle of the data you just "split"

(so like a quarter)

i may be wrong i haven't done this in years

Answer:

f

Step-by-step explanation:

I'm pretty sure it's f from what I know