a cube has six faces what is the probability that the the number 4 will land face up
​

Answer:

y = 5

Step-by-step explanation:

The diagonals of the isosceles EFGH are equal. Therefore:

EG = FH

EG = 3y + 19

FH = 11y - 21

Thus:

3y + 19 = 11y - 21

Collect like terms

3y - 11y = -19 - 21

-8y = -40

Divide both sides by -8

y = 5

Answer:

$2936.79

Explanation:

The Formula for compounding interest:

[tex]F = I(1 + \frac{r}{n})^{nt}[/tex]

F = final amount  (we need to find this)

I = initial amount (900 + 250 + 300 + 1400 = $2850)

r = interest rate  (1% = 0.01)

n = number of times interest applied per time period  (360)

t = number of time periods elapsed (36 months = 3 years)

[tex]F = 2850(1 + \frac{0.01}{360})^{360*3}[/tex]

F = 2850(1.030454105)

F = $2936.79

Answer:

He will have a total of $2936.79

Step-by-step explanation:

The total to be invested is the addition: 900+250+300+1400=2850

Now we invest this amount at the specified rate for three years (equivalent to 36 months), and use the compounded interest formula:

[tex]A=P(1+r/n)^{n*t}\\A=2850(1+0.01/360)^{3*360}\\A\approx 2936.79[/tex]

Answer:

Using the point (-2,-4) it would be:

y + 4 = 1/3(x + 2)

Using the point (4,-2) it would be:

y + 2 = 1/2 (x - 4)

Step-by-step explanation:

hope this helps :)

Answer:

a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.

b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00

c) 90% of sample means will occur between $26.1 and $28.9.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]

a. What is the likelihood the sample mean is at least $30.00?

This is 1 subtracted by the pvalue of Z when X = 30. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem, we have that:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{30 - 27.5}{0.85}[/tex]

[tex]Z = 2.94[/tex]

[tex]Z = 2.94[/tex] has a pvalue of 0.9984

1 - 0.9984 = 0.0016

0.0016 = 0.16% probability that the sample mean is at least $30.00.

b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?

This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So

From a, when X = 30, Z has a pvalue of 0.9984

When X = 26.5

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]

[tex]Z = -1.18[/tex]

[tex]Z = -1.18[/tex] has a pvalue of 0.1190

0.9984 - 0.1190 = 0.8794

0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.

c. Within what limits will 90 percent of the sample means occur?

Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645

Lower bound:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]

[tex]X - 27.5 = -1.645*0.85[/tex]

[tex]X = 26.1[/tex]

Upper Bound:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]

[tex]X - 27.5 = 1.645*0.85[/tex]

[tex]X = 28.9[/tex]

90% of sample means will occur between $26.1 and $28.9.

Answer:

19.6 Don't ask how just give brainliest

Answer:

19.6

Step-by-step explanation:

Answer:

for the volume of the sphere its answer is 4πr³/3 which when converted to diameter will be 2(4πr³/3) as r=diameter/2 so diameter =2r

Answer:

4πr³/3

Step-by-step explanation:

When converted to diameter will be 2(4πr³/3) as r=diameter/2 so diameter =2r

Answer:

Yoyo

Step-by-step explanation:

Answer:

Ty for the free poiunts!

Step-by-step explanation:

You got the answer right LLO

Answer:

Yea the answer is right

Step-by-step explanation:

Answer:

46.5 kilometer per hour

Step-by-step explanation:

plz brainliest :)

#CarryOnLearning

Answer:

Step-by-step explanation:

It's hard to show how this is done other than providing an answer.

r = d/t

d = 279 miles

t = 6 hours.

r = 279/6

r = 46.5 miles / hour

Answer:

1, 5, 15

Step-by-step explanation:

First, I knew 5 was one of them because, 5 was the median and there were only three numbers. Next you have to find out the first and last number. Then, I looked at the mean. To get the mean, you have to add all of the numbers up and divide that by how many numbers there are. Since the mean is 7 and there are 3 numbers, I knew that the sum of all three numbers was 21 because, 21 divided by 3 is 7. Then I saw that the range of all the numbers was 14. The range is the difference between the largest and smallest number so I knew that the largest number subtracted by the smallest number had to be 14. Then, I saw that 15-1=14, and 1+5+15=21. So the three integers are, 1, 5 and 15.

Answer:

15 dimes 14 quarters

Step-by-step explanation:

d+q=29

10d+25q=500

10d+10q=290

15q=210

q=14

d=15

Answer:

29 bucks a piece equlas is de 5 dollar tip is de dog and is the rare dollarido ok yes is good dooddood okokokokokkokokokokok so ther is you answar

Step-by-step explanation:

Answer:

79.4

Step-by-step explanation:

(85+90+68+75+79) / 5 =79.4

Answer:

3g + 8 = T

Step-by-step explanation:

3g + 8 = T because since Deanna estimates 3 slices for each guest, you would times the # of guests by 3, which is 3g. Then you would add 8 because Deanna will need extra 8 slices for the unexpected guests. This equation would tell you how many slices Deanna needs in total.

Hope this helps :D

Step-by-step explanation:

political behaviour consists of activities that are

not required as part of one's formal

role in the organization

Answer:

-3/6

Step-by-step explanation:

integer rules

Answer:

{y,x} = {0,4}

Step-by-step explanation:

// Solve equation [2] for the variable  y  

 [2]    y = 2x - 8

// Plug this in for variable  y  in equation [1]

  [1]    (2x-8) + x = 4

  [1]    3x = 12

// Solve equation [1] for the variable  x  

  [1]    3x = 12  

  [1]    x = 4  

// By now we know this much :

   y = 2x-8

   x = 4

// Use the  x  value to solve for  y  

   y = 2(4)-8 = 0

Answer:

they will have to sample 60 machined metal parts

Step-by-step explanation:

Given that;

Margin of Error E = 6.74

at 90% Confidence Interval, z = 1.645  { from table }

Range R = maximum range - minimum range = 220 - 93 = 127

standard deviation σ = R / 4 = 127/4= 31.7500

How many machined metal parts would they have to sample n = ?

to get our sample size, we use the following formula

n = [ zσ / E ]²

we substitute in our values

n = [ 1.645 × 31.7500 / 6.74 ]²  

n = [ 52.2287 / 6.74 ]²  

n = [ 7.7490 ]²          

n = 60.047 ≈ 60  

Therefore, they will have to sample 60 machined metal parts

You can use the margin of error with the z value and standard deviation to get the result.

The number of metal machine parts would be 60.

The number of machined metal parts that have to be sampled.

Range = Max. value - min. value = 220 - 93 = 127

The standard deviation is approximately the quarter of the range of the distribution.

Thus, [tex]\sigma = 127 \div 4 = 31.75[/tex]

For 90% confidence, the z value is 1.645 (from z tables)

Thus, from the formula for size of sample, we have:

[tex]n = (\dfrac{z\sigma}{E})^2 = (\dfrac{1.645 \times 31.75}{6.74})^2 = (7.749)^2 \approx 60[/tex]

The number of metal machine parts would be 60.

Learn more about sample size here:

https://brainly.com/question/25894237

Answer:

A

Step-by-step explanation:

Hope it helps!

Answer:

i think its b

Step-by-step explanation:

Answer:

DAMMMMM U KNOW ME TOO WELLL

Step-by-step explanation:

Answer:

the anime is fire force

Step-by-step explanation:

In Year 198 of the Solar Era in Tokyo, Special Fire Force's are fighting against a phenomenon called Spontaneous Human Combustion where humans beings are turned into living infernos called “Infernals.” While the Infernals are First Generation cases of spontaneous human combustion

Step-by-step explanation:

First, you have to solve the inequality of x :

| x + 2 | < 12

x + 2 < 12

x < 10

AND

- x - 2 < 12

- x < 14

x > - 14

Therefore, the values of x is -14 < x < 10 so you have to draw it on the number line.

Answer:

Charlotte: 7

Step-by-step explanation:

You can subtract 29 on both sides to get 7=p

Answer:

Stefan originally paid $120 for the bicycle and helmet.

He made $72 by selling them to Jin.

Step-by-step explanation:

Given that:

Selling price of bicycle = $176

Selling price of helmet = $16

Total price = 176+16 = $192

This is 160% of what Stefan paid originally.

Let,

x be the original amount paid by Stefan.

160% of x = 192

[tex]\frac{160}{100}x=192\\1.6x=192[/tex]

Dividing both sides by 1.6

[tex]\frac{1.6x}{1.6}=\frac{192}{1.6}\\x=120[/tex]

Original amount paid by Stefan = $120

Profit = 192 - 120 = $72

Hence

Stefan originally paid $120 for the bicycle and helmet.

He made $72 by selling them to Jin.

Answer:

[tex]\large\boxed{41.14 inches^2(2 d.p)}[/tex]

[tex]\large\boxed{41.1inches^2 (1 d.p)}[/tex]

Step-by-step explanation:

Important Information:

Area of a circle= [tex]\pi r^2[/tex]

Area of a triangle= [tex]\frac{base*height}{2}[/tex]

Diameter of a cirlce= [tex]2*radius[/tex]

Method:

The first step is to divide the shape into smaller shapes. In this case, we have a right -angled triangle and a semi-circle.

The next step is to work out the area of the triangle. Since we know the radius of the semi-circle is 3 inches, to work out the diameter we would simply multiply the radius of 3 by 2, this gives us 6 inches. This is because the radius is half of the diameter.

Now that we know the diameter of the semi-cirlce, we can begin to work out the area of the triangle. We can do this by first multiplying the base of 6 inches by the height of 9 inches, this gives us 54 inches squared. This however gives us the area of 2 of those triangles. To work out the area of that triangle, we would need to divide the value of 54 by 2, this gives us 27 inches squared.

The next step is to work out the area of the semi-circle. We can do this by multiplying pi by the radius of 3, squared, this gives us 28.27 inches squared (2 d.p). However, this is for a full circle and we need to work out the area of the semi-circle. We can do this by dividing the area of the circle, which is 28.27, by 2, this gives us 14.14 inches squared (2 d.p). This is because a semi-cirlce is half of a circle.

The final step is to add the Areas of the two shapes together. You can do this by adding the area of the triangle, which is 27 inches squared, to the area of the semi circle, which is 14.14 inches squared (2 d.p), this gives us 41.14 inches squared (2 d.p).

Step by Step:

1) Multiply 3 by 2.

[tex]3*2=6[/tex]

2) Multiply 6 by 9.

[tex]6*9=54 inches^2[/tex]

3) Divide 54 by 2.

[tex]54/2=27inches^2[/tex]

4) Multiply pi by 3 squared.

[tex]\pi*3^2=28.27 inches^2 (2 d.p)[/tex]

5) Divide 28.27 by 2.

[tex]28.27/2=14.14inches^2 (2 d.p)[/tex]

6) Add 27 to 14.14.

[tex]27+14.14=41.14inches^2 (2 d.p)[/tex]

Answer:

A = -11

B = 43

C = -324

Step-by-step explanation:

-5 - 6 = -11

35 + 8 = 43

-438 + 114 = -324

Answer:

You just have to subtract 1.6 so the missing number is 22.5

Step-by-step explanation:

25.7 ,24.1, 22.5 , 20.9 , 19.3 , 17.7 , 16.1

Answer:

A should be the answer pls brainliest

Step-by-step explanation:

Answer: 1. Perpendicular 2. Bisector 2. Perpendicular Bisector Theorem 3.

Step-by-step explanation: