Answer:
8.2
Step-by-step explanation:
When you calculate it by 100, there are two zeros, so you move two decimals to the right.
This makes 8.2, and 8.2 will be the answer.
Another example could be... 0.082✖️10.
In this case, there is 1 zero, so you move the decimal to the right once, making it 0.82.
Hope this helps!!!
Answer:
8.2
Step-by-step explanation:
When you calculate it by 100, there are two zeros, so you move two decimals to the right.
so you will get 8.2
hope it helps you
The Orchard Cafe has found that about 15% of the diners who make reservations don't show up. If 77 reservations have been made, how many diners can be expected to show up? Find the standard deviation of this distribution
Answer:
65 dinners are expected to show up
The standard deviation of the distribution is 3.13
Step-by-step explanation:
Given
Proportion = 15%
Population = 77
Required
Expected Number that'll show up
Standard Deviation
If 15% won't show up; then
100% - 15% = 85% will show up
Expected Number, E(x) of Dinner is calculated as thus;
[tex]E(x) = np[/tex]
Where [tex]p = 85\%[/tex] (calculated above)
and [tex]n = 77[/tex]
Convert p to decimal
[tex]p = 0.85[/tex]
So;
[tex]E(x) = 0.85 * 77[/tex]
[tex]E(x) = 65.45[/tex]
[tex]E(x) = 65[/tex]
65 dinners are expected to show up
Calculating Standard Deviation, SD
Standard Deviation is calculated as;
[tex]SD = \sqrt{np(1-p)}[/tex]
Substitute 0.85 for p and 77 for n
[tex]SD = \sqrt{77 * 0.85 * (1-0.85)}[/tex]
[tex]SD = \sqrt{77 * 0.85 * 0.15}[/tex]
[tex]SD = \sqrt{9.8175}[/tex]
[tex]SD = 3.13328900678[/tex]
[tex]SD = 3.13[/tex] (Approximated)
The standard deviation of the distribution is 3.13
When a button is pressed, a computer program outputs a random even number greater than 0 less than 8. You press the button 4 times.
Can some help me with this?
Answer:
Well all even numbers between 0 and 8 are,
2, 4, 6, 8
Meaning if the button is pressed 4 times 2, 4, 6, or 8 will be outputted.
When press button 4 times. Then output of the program will be, [tex](2,4,6,2)[/tex]
Even number:Any number that can be exactly divided by 2 is called as an even number.
Given that, When a button is pressed, a computer program outputs a random even number greater than 0 less than 8.
Even numbers greater than 0 less than 8 are,
[tex]=2,4,6[/tex]
When press button 4 times. Then output of the program will be,
[tex]=(2,4,6,2)[/tex]
Learn more about the even numbers here:
https://brainly.com/question/581879
(25 points) PLEASE HELP, I gotta get this done or my mom will beat the hell out of me
Solve
x + y = 2
4y = -4x + 8
by elimination (not Gaussian!)
Thanks!
(also, please show work!)
Answer:
x=1
y=1
Step-by-step explanation:
Please look at the image below for solutions⬇️
Answer:
Step-by-step explanation:
Add the equations in order to solve for the first variable . Plug this value into the equations in order to solve for the remaining variables.
Point form
(x, 2-x)
What are the positive and negative square roots of 1?
Answer:
Positive is 1
Negative is-1
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST TO CORRECT ANSWER
A greengrocer has 38 lb of carrots when he opens on Monday morning. During the day
he gets a delivery of 60lb of carrots and sells 29 lb of the carrots. How many pounds of
carrots are left when he closes on Monday evening?
Answer:
9 is the answer
Step-by-step explanation:
got a delivery of 60ib...but dont have enough .thats why he or she sells 29..totally he or she have 38ib of carrots ...so when we subtract 38_29
its =9
Please help!! Need help with Geometry! Would really appreciate it!!
Answer:
The answer is the first one
Step-by-step explanation:
The rays are: XW, ZY
The lines are: XZ
Rays are with one endpoint and one side that goes forever (aka and arrow).
A line has no endpoint going on forever in both directions.
Answer:
The first one
Step-by-step explanation:
Since a line is an infinite object, with no starting or ending point we symbolize it by an arrow over two points that belong to this line:
[tex]\line{XY}[/tex]
A ray, on the other hand has a starting point and no ending point.
So, in the picture we have a pair of rays, with common points to the line XY
Namely:
XW e ZY
HELP! WILL GIVE BRAINLIEST!
Answer:
Her eye discourses; I will answer it.
I am too bold; ’tis not to me she speaks:
Two of the fairest stars in all the heaven,
Having some business, do entreat her eyes
To twinkle in their spheres till they return.
Step-by-step explanation:
A researcher studying public opinion of proposed Social Security changes and asks a random sample of adult Americans whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many adult Americans does the researcher need to sample in the following cases
(a) if 37% of all adult Americans support the changes?
(b) 25% of all adults Americans support the changes?
Complete question is;
A researcher studying public opinion of proposed Social Security changes and asks a random sample of 30 adult Americans whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many adult Americans does the researcher need to sample in the following cases
(a) if 37% of all adult Americans support the changes?
(b) 25% of all adults Americans support the changes?
Answer:
A) 13 adults
B) 23 adults
Step-by-step explanation:
A) We are given;
p = 37% = 0.37
Since we are told that this is an approximately normal distribution, we will use the formula;
np(1 - p) ≥ 10
Thus;
0.37n(1 - 0.37) ≥ 10
n ≥ 10/(0.63 × 0.37)
n ≥ 42.9
We need a whole number, thus n = 43
From the question, we have already 30 adults , so the required number of adults are; 43 - 30 = 13 adults
B) We are given;
p = 25% = 0.25
Since we are told that this is an approximately normal distribution, we will use the formula;
np(1 - p) ≥ 10
Thus;
0.25n(1 - 0.25) ≥ 10
n ≥ 10/(0.75 × 0.25)
n ≥ 53.33
n ≈ 53
From the question, we have already 30 adults , so the required number of adults are; 53 - 30 = 23 adults
NEED HELP THANKLSSSS
Answer:
Side length: 3 cm.
Surface area: 54 cm squared.
Step-by-step explanation:
The formula for a cube is the side length cubed, since the formula for a rectangular prism is length times width times height. Those three measurements are the same for a cube.
So, since the volume is 27 cm cubed, we can say that the side length of the cube is the cube root of 27 cm cubed, or 3 cm.
There are 6 sides on a cube, and every cube has the same area. Since the side length of the cube is 3 cm, the area of one side of the cube is 3 * 3 = 9 cm squared. 9 * 6 = 54 cm squared.
Hope this helps!
A random sample of 61 Foreign Language movies made in the last 10 years has a mean length of 135.7 minutes with a standard deviation of 13.7 minutes. Construct a 95% confidence interval.
Answer:
95% confidensce interval of the mean (two-tail) = [132.2, 139.2]
Step-by-step explanation:
Given:
N = size of sample = 61
m = sample mean = 135.7
s = sample standard deviation 13.7
Need 95% confidence interval
Solution.
alpha (95% confidence interval) = 0.05
(1-alpha/2) = 0.975 [two sided]
Equation for confidence interval of the mean
= m +/- t(1-alpha/2,N-1) * s / sqrt(N)
= 135.7 +/- 2.0003 * 13.7 / sqrt(60)
= [132.16, 139.24]
The Highway Safety Department wants to study the driving habits of individuals. A sample of 121 cars traveling on the highway revealed an average speed of 60 miles per hour with a standard deviation of 11 miles per hour. Determine a 95% confidence interval estimate for the speed of all cars.
Answer:
{58.02007 , 61.97993]
Step-by-step explanation:
Data are given in the question
Sample of cars = n = 121
Average speed = sample mean = 60
Standard deviation = sd = 11
And we assume
95% confidence t-score = 1.97993
Therefore
Confidence interval is
[tex]= [60 - \frac{1.97993 \times 11}{\sqrt{121} }] , [60 + \frac{1.97993 \times 11}{\sqrt{121} }][/tex]
= {58.02007 , 61.97993]
Basically we applied the above formula to determine the confidence interval
The population in Smalltown in 2010 was 47,597 people and is growing exponentially at a rate of 1.8 percent. Which of the following equations defines the population t years after 2010?
Given Information:
Starting population = P₀ = 47,597
rate of growth = 1.8%
Required Information:
Equation that defines the population t years = ?
Answer:
The following equation defines the population t years after 2010.
[tex]$ P(t) = 47,597e^{0.018t} $[/tex]
Step-by-step explanation:
The population growth can be modeled as an exponential function,
[tex]$ P(t) = P_0e^{rt} $[/tex]
Where P₀ is the starting population in 2010, r is the rate of growth of the population and t is the time in years after 2010.
We are given that the starting population is 47,597 and rate of growth is 1.8%
So the population function becomes
[tex]$ P(t) = 47,597e^{0.018t} $[/tex]
Therefore, the above function may be used to estimate the population for t years after 2010.
For example:
What is the population after 10 years?
For the given case,
t = 10
[tex]$ P(10) = 47,597e^{0.018(10)} $[/tex]
[tex]$ P(10) = 47,597e^{0.18}$[/tex]
[tex]$ P(10) = 47,597(1.1972)$[/tex]
[tex]$ P(10) = 56,984[/tex]
from $2003$ onward, the number of daily visitors to a website increased by $200\%$ every two years. So, for example, the number of visitors in $2011$ was $200\%$ more than the number of visitors in $2009$.
In what year was the number of daily visitors $800\%$ more than the number of daily visitors in $2003$? Explain, in words, why your answer is correct.
Answer:
2007
Step-by-step explanation:
If the number of visitors was, say, 100 people in 2003, then in 2005 that number would have gone up to 300 people, which is a 200% increase. And that number would have gone up to 900 people in 2007, which is an 800% increase.
Answer:
2007
NOT YOU TRYING TO GET THE AOPS PREALGEBRA 2 ANSWER
I stan though :D
Help ASAP!!!
Find the given angle, to the nearest degree.
Answer:
[tex]\boxed{\mathrm{x = 43.8 \ degrees}}[/tex]
Step-by-step explanation:
Let the angle be x
Tan x = [tex]\frac{opposite}{adjacent}[/tex]
Where opposite = 48, Adjacent = 50
Tan x = [tex]\frac{48}{50}[/tex]
Tan x = 0.96
x = [tex]Tan ^{-1}0.96[/tex]
x = 43.8 degrees
Answer:
[tex]\boxed{43.8 \°}[/tex]
Step-by-step explanation:
Use tangent since hypotenuse length is not given.
[tex]tan \theta = \frac{opposite}{adjacent}[/tex]
[tex]tan(x)=\frac{48}{50}[/tex]
[tex]x=tan^{-1}(\frac{48}{50} )[/tex]
[tex]x=43.8[/tex]
Scott is driving to visit family. After 3 hours of driving, Scott traveled 180 miles. After driving for 5 hours at the same rate, he traveled 300 miles. Which equation represents this situation
Answer:
y = 60 *x
Step-by-step explanation:
The rate is 180 miles / 3 hours = 60 miles per hour
Check by dividing 300 miles / 5 hours = 60 miles per hour
y = 60 *x where y is miles and x = time
Answer:
Step-by-step explanation:
Find the measure of each unknown angle
Answer:
1. 55 degrees, 2. 316 degrees
Step-by-step explanation:
When it shows interior angles on a triangle it adds up to 180 degrees
When it shows exterior angles on a triangle it adds up to 360 degrees
1. ? = 55 degrees
85 + 40 = 125
180 - 125 = 55
2. ? = 316 degrees
Inside of triangle:
14 + 30 = 44
180 - 44 = 136 degrees
Exterior of triangle:
360 - 14 = 346 degrees
360 - 30 = 330 degrees
360 - 44 = 316 degrees
Geographers use negative numbers to represent points below sea level and positive numbers to represent points above sea level. For example, the lowest point in Minnesota is at -17.3−17.3minus, 17, point, 3 meters, and the highest point is at 14.114.114, point, 1 meters.
What does 000 meters represent?
plzz hurry
Choose 1 answer:
Choose 1 answer:
(Choice A, Checked)
A
The lowest point in Apple Valley
(Choice B)
B
The lowest point in Minnesota
(Choice C)
C
Sea level
Answer:
C . Sea level
Step-by-step explanation:
If points below the sea level are represented using negative numbers; and
Points above the sea level are represented using positive numbers.
The point labeled 0 meters represents the sea level since it is the indicator of whether a point is positive or negative.
The correct option is C.
Answer:
A) Sea level
Step-by-step explanation:
If the triangle on the grid below is translated by using the rule (x, y) right-arrow (x + 5, y minus 2), what will be the coordinates of B prime?
Answer:
[tex]B'(x,y) = (0,-2)[/tex]
Step-by-step explanation:
Given
The attached grid
Translation rule: [tex](x,y) = (x + 5, y - 2)[/tex]
Required
Determine the coordinates of B'
First, we have to write out the coordinates of B
[tex]B(x,y) = (-5,0)[/tex]
Next is to apply the translation rule [tex](x,y) = (x + 5, y - 2)[/tex]
[tex]B(x,y) = (-5,0)[/tex] becomes
[tex]B'(x,y) = B(x+5,y-2)[/tex]
Substitute -5 for x and 0 for y
[tex]B'(x,y) = (-5+5,0-2)[/tex]
[tex]B'(x,y) = (0,-2)[/tex]
A copy machine makes 153 copies in 4 minutes 15 seconds how many copies does it make per minute
Answer:
36 copies.
Step-by-step explanation:
4mins 15 seconds is the same as 4+1/4 minsutes. Since 1 minute is less than 4+1/4minutes and 4+1/4 minutes produces 153 copies. 1 minute will produce less.
(1÷4+1/4)×153
= 36 copies.
A 12 inch ruler is closest in length to which of the following metric units of measure 30cm 30000 mm 0.030 km or 30 m
Answer:
30 cm
Step-by-step explanation:
1 inch is 2.54 centimeters, and 2.54 times 12 is 30.48, which would be the closest.
The following metric units of measure is 30 cm
The correct option is (A)
What is measurement?Measurement” is the act of determining a target's size, length, weight, capacity, or other aspect.
How do you calculate unit conversion?Step 1: Write the conversion as a fraction.
Step 2: Multiply or divide, as required.
Step 3: Cancel the units (same units from top and bottom)
Step 4: Write the simplified answer with its correct unit.
Now, as we know that
1 inch = 2.54 cm
So, we can write
12 inch = 2.54 * 12
12 inch= 30.48 cm
Hence, the closest unit is 30 cm in the given metric system.
Learn more about this units here:
https://brainly.com/question/19786378
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Given that 243√3 =3^a, find the value of a
Answer:
a=11/5 OR 5.5
Step-by-step explanation:
Hi any help is appreciated. Just wanna graduate:))
Answer: C
Step-by-step explanation:
h · k(x) = 2(3x - 5)(-2x + 1)
= (6x - 10)(-2x + 1)
= -12x² + 6x + 20x - 10
= -12x² + 26x - 10
Answer:
C
Step-by-step explanation:
h(x) × k(x)
= 2(3x - 5)(- 2x + 1) ← expand factors using FOIL
= 2(- 6x² + 3x + 10x - 5)
= 2(- 6x² + 13x - 5) ← distribute parenthesis by 2
= - 12x² + 26x - 10 → C
I have 5 eggs, I broke 2, I cooked 2 and I ate 2, how many do I have left?
Answer:
Step-by-step explanation:
To decipher how many eggs you have left, we must read the statement well.
I have 5 eggs if I break 2 eggs it is to cook them and when they are cooked they will be eaten, so we simply do the following:
5 -2= 3
Now you only have 3 eggs left.
Step-by-step explanation:
Given:
5 eggs
Required:
Number of eggs after breaking, cooking and eating 2.
Solution:
I won't count the eggs as 6.
Broken=cooked=eaten=2
5-2=3
Hope it helps ;) ❤❤❤
someone could help me?
Answer:
[tex]B= 3.14 * 4^4 = 50.24cm^2\\h = 16cm\\V=B*h=50.24*16=803.84cm^3[/tex]
Step-by-step explanation:
The area of the base is the area of a circle with a radius equal to 4 cm. It means that the area can be calculated as:
[tex]B = 3.14 * r^2\\B= 3.14 * 4^4 = 50.24cm^2[/tex]
The height of the cylinder is shown in the picture, it is equal to 16 cm.
Finally, the volume of the cylinder can be calculated as:
[tex]V = B*h=50.24*16 = 803.84cm^3[/tex]
Where B is the base and h is the height of the cylinder.
The circle graph shows the percentage of numbered tiles in a box. If each numbered tile is equally likely to be pulled from the box, what is the probability of pulling out a tile with a 6 on it? (Hint: Remember that percents are based out of 100% and probability is represented as a fraction of 100%)
Answer: [tex]\dfrac{1}{5}[/tex]
Step-by-step explanation:
From, the circle graph in the attachment below,
The percentage of portion taken by 6 (dark blue) = 20%
So, the probability of pulling out a tile with a 6 on it = percentage of portion taken by 6 (dark blue) = 20% [Probability can also be written as a percentage]
[tex]=\dfrac{20}{100}\\\\=\dfrac{1}{5}[/tex] [we divide a percentage by 100 to convert it into fraction]
Hence, the probability of pulling out a tile with a 6 on it = [tex]\dfrac{1}{5}[/tex]
The area of a square is 64n36. What is the length of one side of the square?
Answer:
8n6
step by step explanation.
Which of the following proves ABC DEF?
A.
SAS
B.
SSS
C.
SSA
D.
ASA
Option A is the correct answer.
Answer:
SAS
Step-by-step explanation:
According to the given information both the triangles are congruent by SAS postulate.
The given triangles are congruent by SAS rule.
What is congruency in triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
Given are two triangles, ABC and DEF,
They have congruent parts, given;
AB ≅ DE
BC ≅ EF
∠ B ≅ ∠ E
The triangles have two congruent sides and one congruent angle between them.
The Side-Angle-Side theorem of congruency states that, if two sides and the angle formed by these two sides are equal to two sides and the included angle of another triangle, then these triangles are said to be congruent.
Hence, The given triangles are congruent by SAS rule.
For more reference on congruent triangles, click;
https://brainly.com/question/12413243
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find the coordinate of W' after a 90° rotation of the triangle about the origin and then a reflection about the line y= -3
Answer:
(4, -8).
Step-by-step explanation:
If point W were to be rotated 90 degrees, it would rotate 90 degrees clockwise. The current point of W is (-2, 4). After a 90 degree rotation about the origin, the point will be (4, 2).
y = -3 is a horizontal line where y = -3. The y-value of the newly rotated point is 2. That is five units above the line where y = -3. So, a reflection would result in a y-value of y = -3 - 5 = -8. The x-value does not change.
So, the coordinate of W' is (4, -8).
Hope this helps!
a warehouse had 3 shelves long enough to hold 8 boxes and high enough to hold 4 boxes. all the shelves are full how many boxes are on the shelves all together?
Answer:
8*4*3=96 boxes in total
Step-by-step explanation:
I think. I just multiplies the 3 numbers. Hope this helps (:
Answer:
8*4*3=96 boxes in total
Step-by-step explanation:
I just multiplies the 3 numbers.
weights of men: 90% confidence; n = 14, x=161.3 lb, s =12.6 lb
Answer:
The answer is below
Step-by-step explanation:
Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation . Assume that the population has a normal distribution. Round the confidence interval limits to the same number of decimal places as the sample standard deviation.
Answer: Given that:
Sample size (n) = 14, mean ([tex]\mu[/tex]) = 161.3, standard deviation ([tex]\sigma[/tex]) = 12.6
Confidence(C)= 90% = 0.9
α = 1 - C = 1- 0.9 = 0.1
α/2 = 0.1 / 2 = 0.05
The z score of α/2 correspond to a z score of 0.45 (0.5 - 0.05). This gives:
[tex]z_{\frac{\alpha}{2} }=1.645[/tex]
The margin of error (E) is given by the formula:
[tex]E=z_{\frac{\alpha}{2} }\frac{\sigma}{\sqrt{n} } =1.645*\frac{12.6}{\sqrt{14} }=5.5[/tex]
The confidence interval = μ ± E = 161.3 ± 5.5 = (155.8, 166.8)
The confidence interval is between 155.8 lb and 166.8 lb. There is a 90% confidence that the mean is between 155.8 lb and 166.8 lb.