Dr. Leo’s new office is 2.8 yards by 4 yards. She plans to run a decorative boarder around the perimeter of the office. How many yards of wallpaper border should she purchase?

Step-by-step explanation:

The “fun size” of a Snickers bar is supposed to weigh 20 grams. Because the penalty for selling Snickers candy bars that weigh less than 20 grams is so severe, the manufacturer calibrates the machine so that the mean weight is 20.2 grams. The quality control manager at the candy company is concerned that the candy produced does not weigh 20.2 grams. She obtains a random sample of 64 candy bars and weighs them. She finds that the mean weight of this sample is 20.05 grams with standard deviation 0.72. By answering the following questions, test the claim that the Snickers bars have a mean weight less than 20.2 grams at the level of α = 0.01.

1. Select from the following list all the requirements that are met in this problem scenario for this test: (circle your choice(s))

a. The population is approximately normal.

b. The population standard deviation is known.

c. The sample taken is a random sample.

d. The population standard deviation is unknown. e

. The degrees of freedom is 0.01.

f. The sample size is greater than 30.

2. Which of the following statements is correct?

a) Parameters describe sample characteristics.

b) Statistics describe population characteristics.

c) We use statistics to estimate the value of parameters.

d) We use parameters to estimate the value of statistics

Expert Answer

The percent of Snickers bars which have a mass more than 21.5 grams is equal to 2.28%.

To find the percentage of Snickers bars with a mass more than 21.5 grams,

use the concept of standard normal distribution.

Calculate the z-score for 21.5 grams.

The z-score is a measure of how many standard deviations a particular value is away from the mean. It can be calculated using the formula:

z = (x - μ) / σ

where x is the value we want to find the z-score for, μ is the mean, and σ is the standard deviation.

Here

x = 21.5 grams

μ = 20.1 grams (mean)

σ = 0.7 grams (standard deviation)

z = (21.5 - 20.1) / 0.7

z = 1.4 / 0.7

z = 2

The percentage of values greater than the z-score in the standard normal distribution calculator.

The percentage of values greater than 2 standard deviations from the mean is approximately 2.28%.

Therefore, approximately 2.28 percent of Snickers bars have a mass more than 21.5 grams.

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Answer:

The endpoint of an angle  

x

lies in the 4th quadrant. Here is why.

First of all, let's recall a few definitions.

Recall the definition of a trigonometric function  

sec

(

x

)

:

sec

(

x

)

=

(by definition)  

=

1

cos

(

x

)

Recall the definition of a trigonometric function  

cot

(

x

)

:

cot

(

x

)

=

(by definition)  

=

cos

(

x

)

sin

(

x

)

Step-by-step explanation:

jhyjyujtyuyju

Answer:

Ummm yeah , i'm literally a nice person and a good listener .

Step-by-step explanation:

Can i pls have brainly ? <3

Answer:

yes

Step-by-step explanation:

hjoyybhfddsjjsjajajdhvdbenwkwq

Answer:

3hours and 15 mins

Step-by-step explanation:

210 divied by 3=70

70=per hour

4 hours=280

70 divied by 2= 35

.5=35

280+35=315

315 miles in 4.5 hours

Answer:

A

Step-by-step explanation:

31 correcct answers gives her 31 points, then you subtract 9/4 for the 9 incorrect answers to get twenty eight and 3/4

Answer:

608.33

Step-by-step explanation:

Answer:

I think it's B

...........

Answer:

d

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (1, [tex]\frac{1}{2}[/tex] ), thus

midpoint = ( [tex]\frac{-2+1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) =  ( [tex]\frac{-1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], [tex]\frac{-\frac{5}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], - [tex]\frac{5}{4}[/tex] ) → d

Answer:

The answer is C

Explanation:

This is because 2(-2) + -2 is smaller than -4

Answer:

THANKS SM

Step-by-step explanation:

Answer:

1.5 gallons

Step-by-step explanation:

2 x 0.75

1.5 gallons

Brainliest appreciated!

Answer:

1.5 gallons

Step-by-step explanation:

1/4 of container would be 0.5 gallons, so 3/4 of the container is 1.5 gallons. Multiply 0.5 times 3.

Answer:

4 + √15 > 3 + √6

Step-by-step explanation:

Hi there !

√15 ≈ 3.87

4 + 3.87 = 7.87

√6 ≈ 2.44

3 + 2.44 = 5.44

7.87 > 5.44

4 + √15 > 3 + √6

Good luck !

Answer:

y = x + 2

Step-by-step explanation:

Answer:

= 4

Step-by-step explanation:

2a^2-4b

=2(2)^2-4(1)

=2×4-4

= 8-4

=4

Answer:

hope to have helped you:)

Answer:

x=7

y=10

Step-by-step explanation:

8x and 11y+14 are same side interior angles so they add to 180 degrees

11y+14 and 10x+54 are vertical angles so they are equal

8x + 11y+14 = 180

11y+ 14 = 10x+54

Substitute 10x+54 for 11y+14 in the first equation

8x +10x+54 = 180

Combine like terms

18x+54 =180

Subtract 54

18x+54-54=180-54

18x =126

Divide by 18

18x/18 = 126/18

x=7

Now we can find  y

11y+ 14 = 10x+54

11y + 14 = 10*7+54

11y+14 = 70+54

11y+14 =124

Subtract 14 from each side

11y = 124-14

11y =110

Divide by 11

11y/11=110/11

y =10

Answer:2.35x+6.00=y

x=number of gallons of gas

Step-by-step explanation:

Answer:

Whats F five is that a point or something???

Step-by-step explanation:

Answer:

OK here:

Step-by-step explanation:

I assume the teacher is saying that you have (d) dollar coins and (f) five cent coins where d and f are unknown numbers numbers. So:

I also assume when the teacher asks how many coins the person has, it is the number of coins total where both a dollar coin and five cent coin count as 1.

a) d + f

b) 3d + f - 7

c) d + f + 25

The x-intercepts of an equation are simply the zeros of the equation

The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts

The equation is given as:

[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]

Set the equation to 0; i.e. calculate the zeros

[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Divide both sides by constant b

[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]

Split the above equation, as follows

[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]

Solve for x in each of the equation

[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

Remove repeated solutions

[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]

The count of solutions above is 4

Hence, the equation has 4 distinct x-intercepts

Read more about x-intercepts at:

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Answer:

y = -1/2x +3

Step-by-step explanation:

basically all you have to do is change the y intercept, but keep the slope the same and you create a parallel line

x=0

Rewrite the question -2x+1=u and x= -u-1/2

Simplify

Rewrite 1=e^(u-1)u in Lambert Form e^(u)u

Solve u=1

Substitute back u= -2x+1, solve for x

x=0

Answer:5

Step-by-step explanation:

9514 1404 393

Answer:

  x = 4c-3d

Step-by-step explanation:

Cross multiply, separate variables terms and constant terms.

  [tex]3(x-d)=4(x-c)\\\\3x-3d=4x-4c\\\\4c-3d=x\qquad\text{add $4c-3x$}\\\\\boxed{x=4c-3d}[/tex]

Step-by-step explanation:

Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value

Answer:

$28.80

Step-by-step explanation:

16 times 0.8 = 12.8 + 16 = 28.80

Answer:

A 1 with a hundred 0's following it

Step-by-step explanation:

Answer:

1,5

Step-by-step explanation:

cuz it's part of the green

Answer:

6,4

Step-by-step explanation:

Answer:

pretty sure the answer is 13.5 years. sorry if wrong

Step-by-step explanation:

Answer:

B: Distinct lines

Step-by-step explanation:

If you go to desmos graphing calculator add put the equations in you can see they never interesct

Answer:

B) distinct parallel lines

Step-by-step explanation:

First, place both equations in slope-intercept form:

y + 6 = [tex]-\frac{1}{3}[/tex] (x - 15)

y + 6 = -1/3x + 5

y = -1/3x - 1

2x + 6y = 24

6y = -2x + 24

y = -2/6x + 4

y = -1/3x + 4

Because they have the same slope and different y-intercepts, they are parallel.