The annual snowfall in a town has a mean of 38 inches and a standard deviation of 10 inches. Last year there were 63 inches of snow. Find the number of standard deviations from the mean that is, rounded to two decimal places

Answers

Answer 1
This is 2.5 standard deviations from the mean.

We find this by subtracting the mean from our value, and dividing by the standard deviation:
(63-38)/10 = 25/10 = 2.5

Related Questions

Lori passes 80% of her tests. In the next week, Lori has 4 tests. She wants to determine the probability that she passes all 4 of the tests.

Which simulation design has an appropriate device and a correct trial?

A) Let Heads represent Lori passing a test and Tails represent Lori failing a test. Flip the coin four times.
B) Roll a die letting 1-5 represent Lori passing a test and 6 represent Lori failing a test. Roll the die four times.
C) Spin a spinner that is split up into 5 sections, where 4 sections are a success of passing a test. Spin the spinner four times.
D) Using a random digits table select one digit numbers where 0-8 is a passing grade and 9 is a failing grade. Select four digits.

Answers

Since Lori passes 80% of her tests you need to make sure that the randomizing device has 80% of the outcomes assigned to passing and 20% of the outcomes assigned to failing. The correct answer is Spin a spinner that is split up into 5 sections, where 4 sections are a success of passing a test. Spin the spinner four times.

Answer: C)

Step-by-step explanation:

help me? answers por favor ?

Answers

Please, post only one question at a time.

The line passing through (1,4) and (-4,-1) has the following slope:

          -1 - 4          -5
m = ------------ = -------- = +1
          -4 - 1          -5

Find the slope of the line passing thru the other set of points.  Graph both lines.  What do you see?  Do the 2 lines have any particular relationship to one another?

The answer to 21 is Never true because a supplementary angle always adds up to 180 degrees and obtuse angles are angles MORE than 90 degrees and 91 + 91 wouldn't make it supplementary.

Jamie is making a beaded necklace the ratio of blue beads to purple beads is 4:3 if jamie uses 56 blue beads and purple beads to finish her necklace how many of them will be purple

Answers

She will use 42 purple beads.

Explanation
We will use a proportion to solve this. 

The ratio of blue to purple beads is 4:3, or 4/3.
We know she uses 56 blue beads and an unknown amount, x, of purple beads.  This gives us 56/x.

Together, we have
4/3 = 56/x

Cross multiply:
4*x = 3*56
4x = 168

Divide both sides by 4:
4x/4 = 168/4
x = 42

Answer: 24 beads

Step-by-step explanation:

Jamie is making a beaded necklace having the ratio of blue beads to purple beads as 4:3 and the total beads used by Jamie is 56. This information can be written as:

Ratio of blue heads= 4

Ratio of purple beads= 3

Total ratio of beads= 4+3 = 7

Total beads used = 56 beads

The number of purple beads used will be= 3/7 × 56

= 3 × 8

= 24 beads

The number of purple beads used is 24

simplify this rational

Answers

Answer:

n+5

Step-by-step explanation:

(n+5)(n+1)/(n+1)

cancel n+1 from top and bottom

A coach randomly sampled players from two different cities to determine the heights of the players. This table shows the results in inches.

City A 63 60 70 66 70 73 78 73 69 75
City B 67 73 75 73 69 78 76 74 72 74
Which conclusions can you draw about the heights of the players from the two cities?

Select each correct answer.


On average, the players in City A are a few inches taller than the players in City B.

On average, the players in City A are a few inches shorter than the players in City B.

On average, the players in the two cities are about the same height.

The heights of the players in City A are more variable than the heights of the players in City B.

The heights of the players in City A are less variable than the heights of the players in City B.

The heights of the players in the two cities vary by about the same amount.

Answers

to find average add the heights and divide by number, do this for both cities:
 city A:
63 + 60 + 70 + 66 + 70 + 73 +78 + 73 + 69 + 75 = 697
697 / 10 = 69.7
 shortest is 60, tallest is 78, difference = 78 -60 = 18

city b : 
67+73+75+73+69+78+76+74+72+74 = 731
731 / 10 = 73.1
 shortest is 67, tallest is 78, difference = 78-67 = 11

answers:
On average, the players in City A are a few inches shorter than the players in City B.

and 

The heights of the players in City A are more variable than the heights of the players in City B.

Answer:

On average, the players in City A are a few inches shorter than the players in City B.

Step-by-step explanation:

i took the test hope this helps

Randall bought a notebook for $8 and 6 highlighters. He spent a total of $20.how much did each highlighter cost

Answers

First you subtract the $8 from the $20 so you have $12 that you bough 6 highlighters with. Then you do the math and each highlighter cost $2
The total amount Randall spent was $20.
He bought a notebook for $8.
So he has $12 dollars left.
Then he buys 6 highlighters.
Divide 12 by 6.
Each highlighter is $2.

A translation is applied to the triangle formed by the points A(−1, 4) , B(−1, 10) , and C(3, 6) . The image is the triangle that has vertices ​ A′(3, 4) ​, ​ B′(3, 10) ​​, and C′(7, 6) ​. Select the phrase from the drop-down menu to correctly describe the translation. The triangle was translated .

Answers

X(A')=X(A)+4= -1+4=3
X(B')=X(B)+4= -1+4=3
X(C')=X(C)+4= 3+4=7
4 points to the right
4 units to the right is the correct answer. I even provided proof from my own test. Hope this helps!

A person operating a riding lawnmower can mow 1/4 of a hectare in 20 minutes. How many hectares per hour can she mow?

Answers

Since there are 60 minutes in one hour. Then the person can mow 3/4 of a hectare in 1 hour.

THis is because 60 divided by 20 is 3. So 3 times 1/4 equals 3/4

Plz branliest

an open rectangular cardboard box with a square base is to have a volume of 256cm^3. Find the dimensions of the box if the area of cardboard used is as small as possible

Answers

let
x------> the length side of the square base of the box
y-------> the height of the box

we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²-------->  equation 1

The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.

surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x

step 1 
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm

the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm

Final answer:

To find the dimensions of the box with the smallest area of cardboard used, we can minimize the surface area of the box using calculus. The volume of the box is given as 256 cm³.

Explanation:

To find the dimensions of the box with the smallest area of cardboard used, we need to minimize the surface area of the box. Let's assume that the length, width, and height of the box are L, W, and H, respectively.

The volume of the box is given by V = L * W * H = 256 cm³. Since the box has a square base, we have L = W.

The surface area of the box is given by SA = 2LW + 2LH + 2WH = 2(LW + LH + WH). Substituting L = W into the equation, we have SA = 6L² + 2LH.

To minimize the surface area, we can take the derivative of SA with respect to L and set it equal to zero. Solving this equation will give us the value of L that minimizes the surface area. Once we have the value of L, we can find the corresponding values of W and H using the equation V = L * W * H = 256 cm³.

Using this method, we can determine the dimensions of the box that will result in the smallest amount of cardboard used.

I have no congruent sides. One of my angles has a measure of 100 degrees.



Answers

The answer is a scalene triangle

Simplify the mathematical expression.

Answers

The answer would be 2 because you can reduce -5 1/2 to -11/2 and then when you multiply that by 4, you get -22. On the bottom, you can reduce -9 3/5 to -48/5. When you add -48/5 to -1.4 you get -11. Now your solved fraction would -22/-11 and -22 divided by -11 equals positive 2. 

Last month, Luke spent $1,300 on his mortgage (home loan payment), $320 for food, $280 on entertainment, $275 for his car payment, $60 on car insurance, and $75 on clothing. What was the difference for the month between his fixed expenses and variable expenses? A) $1035 B) $1240 C) $960 D) $900

Answers

Te difference between the two categories is 960.

The fixed expenses are: mortgage, car and insurance
 1300 + 275 + 60 = 1635

The variable expenses are: food, entertainment, clothing
320 + 280 + 75 = 675

Subtracting those gives a value of 960.

a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable.

Answers

If 1 additional song costs $0.59, then there would be 26 additional songs downloaded. Because $15.34 divided by $0.59 is 26. 

Let x be the number of songs downloaded.

x = 28 + (15.34/0.59)
x = 28 + (26)
x = 54

You have 54 songs downloaded on your tablet. 

Hope this helps :)

Answer:Let x be the number of songs downloaded.

x = 28 + (15.34/0.59)

x = 28 + (26)

x = 54

You have 54 songs downloaded on your tablet.

Step-by-step explanation:

PLEASE HELP ME!!!


Three cube-shaped boxes are stacked one above the other. The volumes of two of the boxes are 1,331 cubic meters each, and the volume of the third box is 729 cubic meters. What is the height of the stacked boxes in meters?
19
29
30
31

Answers

The answer is nineteen A

Eva spent $48 on a shirt and a pair of pants. The pant cost twice as much as the shirt. How much did each item cost?

Answers

Divide 48 by 3 to get the price of the shirt, the take what’s left and that is the pants. $16 shirt, $32 pants
The shirt cost $16 and the pants cost $32.

How much times does 30 go into 870

Answers

30 goes into 870 [tex]\frac{870}{30}=\boxed{29}[/tex] times.
It goes in 29 times.

Which is an equation of the given line in standard form?

A. -6x+5y=13
B. -6x+7y=-11
C. -6x+7y=11
D. -7x+6y=-11

Answers

The slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The coordinates of the points:
[tex](-3;\ -1)\to x_1=-3;\ y_1=-1;\ \left(\dfrac{1}{2};\ 2\right)\to x_2=\dfrac{1}{2};\ y_2=2[/tex]

Substitute: [tex]m=\dfrac{2-(-1)}{\frac{1}{2}-(-3)}=\dfrac{3}{3\frac{1}{2}}=\dfrac{3}{\frac{7}{2}}=3\cdot\dfrac{2}{7}=\dfrac{6}{7}[/tex]

We have: [tex]y=\dfrac{6}{7}x+b[/tex]

Substitute the coordinates of the point (-3; -1) to the equation of the line:

[tex]-1=\dfrac{6}{7}\cdot(-3)+b\\\\-1=-\dfrac{18}{7}+b\ \ \ |+\dfrac{18}{7}\\\\b=\dfrac{11}{7}[/tex]

Therefore we have:
[tex]y=\dfrac{6}{7}x+\dfrac{11}{7}\ \ \ |\cdot7\\\\7y=6x+11\ \ \ |-6x\\\\\boxed{-6x+7y=11}[/tex]

Answer: C. -6x + 7y = 11

the stem and leaf plot represents a set of data what is the largest number in the set?

Answers

2 is the largest number in the set.

To find the largest number in a stem-and-leaf plot, identify the row with the highest stem and the largest leaf in that row.

The largest number in a set represented by a stem-and-leaf plot can be determined by locating the highest stem value and the largest leaf value attached to it. In a scenario where the stem represents units of 100,000 and the leaf represents units of 10,000, as with the example regarding U.S. cities' populations, you would look for the row with the highest stem number and the highest leaf number within that row to find the largest value. For instance, with a stem of 4 and a leaf of 9, one would interpret the largest number as 490,000.

When constructing a stemplot, each data point's stem is written in a vertical column with the leaves arranged to the right. Negative numbers are handled with negative stems, and the leaves are rounded to represent two significant digits. This method creates a clear visual of data distribution, showing values, potential outliers, and general trends.

If BE = 2x-3 and AC=3x+1 Find Ac

Answers

The answer would be AC=22

What is the slope of the line that is parallel to the line shown?

A) 3/2
B) 1/3
C) -1/3
D) -3

Answers

Hey there! :D

All parallel lines have the same slope. They would need to, otherwise, they would intersect or come together at an angle eventually. 

So, let's find the slope. 

I'm going to use rise over run. (Remember, when moving to the left, you make the number negative. 

rise=1 run= -3

-1/3 <== the slope 

"C" is the correct answer. 

I hope this helps!
~kaikers 

Analyze the solution set of the following system by following the given steps.
2x + y = 5 3y = 9 − 6x
Write each equation in slope-intercept form.
y = x +
y = x +

Answers

2x + y = 5 
2x -2x+ y = 5 -2x
y=5-2x 
y=-2x+5

3y = 9 − 6x
3y/3= 9/3 - 6x/3
y = 3 - 2x 
y= - 2x +3

Equations in the slope-intercept form are
y= - 2x+5,
y= - 2x +3

Equations in the slope-intercept form are

y= - 2x+5,

y= - 2x +3

If z = 12.8, what is the value of 2(z - 4)? [Type your answer as a number.]

Answers

The answer will be 17.6

Answer:

17.6. Its correct

Step-by-step explanation:

Which of the following rules could represent the function shown in the table?
x y
-1 -1
0 1
1 3

A) f(x) = -2x
B) f(x) = 2x - 1
C) f(x) = 2x + 1

Answers

Not sure but I think 3
I believe  its c because if u really sit back and work out the problem


if y -18 =14 what is the value of 3(Y + 5)

Answers

y-18=14
add 18 on both sides
y=32
plug that into the equation below
3(Y+5)
3(32+5)
add 32 and 5
3(37)
multiply
3
[tex]3 \times 37 = 111[/tex]
there u go dude! :) if you could Mark as brainliest answer that would help me soooo much dude thxx

Answer:

y-18=14

add 18 on both sides

y=32

plug that into the equation below

3(Y+5)

3(32+5)

add 32 and 5

3(37)

multiply

3

3 \times 37 = 1113×37=111

there u go dude! :) if you could Mark as brainliest answer that would help me soooo much dude thxx

How can a lack of understanding of the measures of central tendency and variability affect business decisions

Answers

The measure of central tendency give you a picture of what to expect in a situation. For example, a basketball players average is the amount of points that they typical score.

In a business, you make decisions on what you expect to happen. Knowing the measure of center can help you make better decisions.

Answer:The measure of central tendency give you a picture of what to expect in a situation. My example: a basketball players "average" is the number of points that they usually score. In a business you make decisions on what you expect to happen. If you know the measure of center it can help you make better decisions.

I got 100 on this

A population of bacteria is growing according to the exponential model P = Cekt, where P is the number of colonies and t is measured in hours. If there are 800 colonies present after 4 hours, and the population's growth rate k = 0.65, how many colonies were present initially? [Round answer to the nearest hundredth.]

Answers

Plugging our values into the equation, we have

[tex]800=Ce^{0.65(4)} \\ \\800=Ce^{2.6} \\\text{Dividing both sides by }e^{2.6} \\ \\\frac{800}{e^{2.6}}=C \\ \\59.42=C[/tex]The correct answer is 59.42.

Susan gets paid x dollars per hour. After 40 hours she gets paid time and a half (1.5 times her normal hourly pay). Last month she worked 52 hours each week and earned $696 each week. How much does Susan get paid per hour?

Answers

She gets paid $12 per hour.

Let x be the amount she gets paid per hour.  Working 40 hours would then be represented by 40x.

Anything over 40 hours earns her 1.5 her normal rate, or 1.5x.  Since she works 52 hours, this means 52-40=12 hours of overtime at 1.5x:
12(1.5x) = 18x

Together, she earned 696:
40x+18x = 696

Combining like terms,
58x = 696

Divide both sides by 58:
58x/58 = 696/58
x = 12

what is the measure of the angles

Answers

they are vertical angles and would be the same so set them to equal each other and solve:

3x-4 = 2x+9

add 4 to both sides:

3x = 2x +13

subtract 2x from each side:

x = 13

now replace x with 13 in the original equations:

3x-4 = 3(13) -4 = 39-4 = 35
2x+9 = 2(13)+9 = 26+9 = 35

the angles = 35 degrees


2x+9=3x-4
9=3x-2x-4
9=x-4
9+4=x
13=x
13(2)-4
26+9
35 is the answer



What is 1/2 + 3/4???

Answers

1/2 + 3/4 = 

1/2 = 2/4

2/4 + 3/4 = 5/4 = 1 1/4

Answer = 1 1/4

Hope this helped☺☺
Hi there!

To solve this problem, we need to find the common denominator. 

Since both 4 and 2 are divisible by 4, 4 is the common denominator.

1/2 = 2/4
3/4 = 3/4

2/4 + 3/4 = 5/4 = 1 1/4

Hope this helps!

the salomans offered to be in charge if drinks for the party. In addition to other beverages, they brought 4 bags of coffee that each held 2 1/2 pounds. When brewed, 1/4 pound coffee made 8 cups of coffee. the salomans brewed and served 296 cups of coffee. was any coffee left over? if so, how much coffee was left? show your work

Answers

Let b coffee bags, c cups and lb pounds of the coffee:

 b= 2.5 lb

.25lb=8 c

2.5lb * 8c/.25lb= 80 c

4(80c)= 320 c

320c - 296c = 24 cups was left.




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