there are 12 erasers packaged in 3 boxes how many erasers are packaged in 4 boxes

Answer:

246.

Step-by-step explanation:

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

b) The minimum sample size to achieve this is 246.

Step-by-step explanation:

We have that to find our  level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so  

Now, find the margin of error M as such

In which  is the standard deviation of the population(square root of the variance) and n is the size of the sample. So in this question,  

The lower end of the interval is the sample mean subtracted by M. So it is 99 - 0.78 = 98.22

The upper end of the interval is the sample mean added to M. So it is 99 + 0.78 = 99.78.

a) The 95% confidence level two-tail confidence interval for the mean value of the key index of this batch is between 98.22 and 99.78

(b) (5 points) If we want the sampling error to be no greater than 0.5, what is the minimum sample size to achieve this based on the same confidence level with part (a)

We need a sample size of n

n is found when  

Then

Rounding up

The minimum sample size to achieve this is 246.

Answer:

84 [tex]cm^{2}[/tex]

Step-by-step explanation:

find the area of each shape and add them together

Answer:

x > -5

Step-by-step explanation:

hope this helps :)

Answer:

x>-5

Step-by-step explanation:

X-15>-20

Add 15 to both sides;

x-15+15=>-20+15

simplify

x>-5

Hope this helped!

Helped by none other than the #QUEEN herself  aka # DrippQueenMo

Answer:

Step-by-step explanation:

According to Triangle Inequality Property:

Measurement of any two sides of the triangle should be greater than the third side

So,

For 2.5,

6 + 4 = 10 > 2.5

4 + 2.5 = 6.5 > 6

6 + 2.5 = 8.5 > 4

For 4,

6 + 4 = 10 > 4

4 + 6 = 10 > 4

4 + 4 = 8 > 6

While for 1 and 2,

4 + 1 = 5 < 6

and

4 + 2 = 6 = 6

Hence,

Only 2.5 and 4 are the possible measurements.

Answer:

3/4 or 9/12 make the denominators the same then just add

Answer:

9/12 or simplified as 1/4

Step-by-step

2×4/3×4 + 1/12

= 8/12 + 1/12

= 9/12

= 1/4

Answer:

120 gold is in the alloy

Step-by-step explanation:

G:S

6:4

6+4=10

200/10=20

20*6=120

Hope this helps!

Answer:

x= 65

Step-by-step explanation:

3x-15=180

add 15 both sides

3x= 195

divide by 3

x=65

Answer:

(2,8), (3,5),

Step-by-step explanation:

Answer:

A = (11 m)(4.33 m) = 47.6 m^2

Step-by-step explanation:

The width of this parallelogram is (5 m)(sin 60 degrees), or approximately 4.33.  This is the length of the dashed line shown.

The area of this parallelogram is A = (length)(width), which here is:

A = (11 m)(4.33 m) = 47.6 m^2

Answer:

55

Step-by-step explanation:

i think

Answer:

6.7 hours

Step-by-step explanation:

If one can do 50 then three can do 150.

So 1000÷150=6.66666666666

Hope this helps

Answer:

Yes, he can buy it for $350 or less

Step-by-step explanation:

330.00 x 4.5%

330.00 x 0.045 = 14.85

330.00 + 14.85 = 344.85

or

330.00 x 1.045  = 344.85

Answer:

72.5°

Step-by-step explanation:

180° is a straight line. Subtract 35° from 180°, you get 145°, now divide 145° by 2, you will get 72.5°.

Hope this helped.

The sum of all angles is 360

we have one angle given which is 35 degrees the angle infront of it is also the same as opposite angles are always equal

so x= 35

for y as said earlier opposite angels are equal so the empty 2 angles are also y

so now we have

[tex]4y+35+35=360\\4y+70=360\\4y=290\\y= 72.5[/tex]

so y=72.5 degrees

Answer: a is 16, b is -8

Step-by-step explanation:

3a-45=3

add 45 to both sides to get rid of -45

3a=48

divide both sides by 3

a = 16

plug 16 into the first equation

16 + b = 8

subtract 16 from both sides

b = -8

is it good for the elimination method? hmm i probably wouldn't use it in this case since there aren't any variables to cancel out.

Answer:

$5.00

Step-by-step explanation:

$5 because it occurs the most

Answer:

$5

Step-by-step explanation:

The mode is the price that appears the most often in a given list.

Answer:

26

Step-by-step explanation:

Average = all the numbers added together then divided by the amount of numbers in the equation

21+24+25+25+26+26+26+26+27+29= 255

Since there are ten numbers in this equation, divide the sum by 10

25.5

round up

26

Answer:

the answer is B - 96 trust me

Answer:

The distance between the two

points on the map

is 225 units

Step-by-step explanation:

Firstly, we need to calculate the distance in units between the two locations on the map

What we have to use here is the distance formula

Mathematically, we have this as;

D = √(x2-x1)^2 + (y2-y1)^2

(x1,y1) = (2,10.5)

(x2,y2) = (14,16)

we have the distance as follows;

D = √(14-2)^2 + (16-10.5)^2

D = √(12^2 + 6.5^2)

D = √(186.25)

D = 13.65 units

now, from the question, 1 unit on the map represents a distance of 16.5 miles

thus, a distance of 13.65 units will be;

16.5 * 13.65 = 225.225

= 225 units

Answer:

E and H are the correct answers

Step-by-step explanation:

Hi there!

[tex]\large\boxed{h = \frac{15x}{y}}[/tex]

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

[tex]h = \frac{15x}{y}[/tex]

Answer:

67958.93228

Step-by-step explanation:

Answer:

You could buy 4 avacodos with how much money you have :)

You can buy 4 avocados

Answer:

D = (-4,4)

E = (-4,-4)

the length from d to e is 4

Answer:

It is 3

It is 3

it is 3

it is 3

Answer:

The sale price would be 20% off.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer: -1 1/8 (Decimal: -1.125)

Step-by-step explanation:

answer is 20.31

I'm positive

Answer:

5 seconds

Step-by-step explanation: